Probable and certain both speak about something that may (or may not) happen in the future, but probable and possible speak about future possibilities in different ways.
What is Probable?‘Probable’ is high up on the scale of probability. If something is probable, then there is a high chance that something will happen. We can imagine that ‘probable’ is around 80% and up on the scale of probability.
If something is possible, it doesn’t mean it’s probable. However, if something is probable then it’s possible too. And if this confuses you then you’re probably in the right place.
Probable and certain are both on a scale of probability. Probability is the level of possibility or chance that something will happen or will be true in the present or future.
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A rental company charges a flat fee of $50 to rent a ski jet. In addition, renters must pay $17.50 per hour of ski use. Which equation correctly represents the total cost, c, to rent a jet ski for h hours?
Answer:
f(x) C= x+50 x=17.50$/h
Step-by-step explanation:
I might not be sure about it, but it might be a function that is f(x) C= x + 50 dollars
x=17.50 dollars /hour
so that means if it is 1 hour, then 17.50$ +50$ which is 67.50$, if it's 2 hours then 17.50$/h = n$/2h so n=17.50$ *2 = 35$ + 50$ = 85$
two different missiles are shot simultaneiously at a practice target. if the probability of the first one hitting the target is 1 4 and of the second one hitting is 2 5 , what is the probability that (a) both missiles will hit, (b) at least one will hit?
(a) The probability that both missiles will hit the target is 1/10.
(b) The probability that at least one missile will hit the target is 11/20.
To find the probability that both missiles will hit, we multiply the individual probabilities of each missile hitting
P(both missiles hit) = P(first missile hits) × P(second missile hits)
P(both missiles hit) = (1/4) × (2/5)
P(both missiles hit) = 2/20
P(both missiles hit) = 1/10
So the probability that both missiles will hit the target is 1/10.
(b) To find the probability that at least one missile will hit, we need to find the probability that both missiles miss and then subtract that from 1 (since the probability of either missile hitting is the complement of both missiles missing)
P(at least one missile hits) = 1 - P(both missiles miss)
P(at least one missile hits) = 1 - P(first missile misses) × P(second missile misses)
P(at least one missile hits) = 1 - (3/4) × (3/5)
P(at least one missile hits) = 1 - 9/20
P(at least one missile hits) = 11/20
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a continuous random variable x has a uniform distribution between 5 and 25 (inclusive), then p(x = 15) = 0.05. a. true b. false
Answer:
Step-by-step explanation:
The probability of a continuous random variable taking any specific value is always zero, so the statement p(x = 15) = 0.05 is false.
Kyle who is a lifeguard is roping off a rectangular swimming area of 70 m. He uses the beach as one side.
Determine the minimum length, to 2 decimal places, of rope needed.
If he uses the beach as one side. the minimum length, to 2 decimal places, of rope needed is: 70 meters of rope.
What is the minimum length?Let's assume that the length of the swimming area is L and the width is W. The perimeter of the swimming area will be the length of the rope that Kyle needs to rope off the area.
From the problem, we know that one side of the swimming area is the beach, so we have:
L + W + L = 70
Simplifying this equation, we get:
2L + W = 70
To find the minimum length of rope needed, we need to minimize the perimeter of the swimming area. We can use the above equation to express W in terms of L:
W = 70 - 2L
Substituting this expression for W into the formula for the perimeter, we get:
P = L + W + L
= 2L + (70 - 2L)
= 70
So the perimeter of the swimming area is fixed at 70 m, regardless of the values of L and W. Therefore, the minimum length of rope needed to rope off the area is simply the perimeter of the swimming area, which is 70 meters.
Therefore, Kyle needs a minimum of 70 meters of rope.
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Use the form |x – b| < c or |x – b| > c to write an absolute value inequality that has the solution set x= < –9 or x>=-5.
Answer: |x + 9| > 0 or |x + 5| < 4
Step-by-step explanation: To begin with, ready to utilize the frame |x - b| > c to speak to the arrangement x < -9:
|x - (-9)| >
Rearranging this gives:
|x + 9| >
Another, we are able utilize the frame |x - b| < c to speak to the arrangement x ≥ -5. Ready to select a esteem of c that's more noteworthy than the remove from -5 to the closest endpoint of the arrangement set (which is -9):
|x - (-5)| < 4
Rearranging this gives:
|x + 5| < 4
Joining these two supreme esteem disparities with an "or" explanation gives:
|x + 9| > or |x + 5| < 4
Rearranging this gives:
x < -9 or -9 < x < -1
We will see that the primary portion of the arrangement set (x < -9) is as of now spoken to within the to begin with supreme esteem imbalance, and the moment portion (x ≥ -5) is spoken to by the moment supreme esteem imbalance.
3-7 If a hip roof has a slope of 6 inches per foot ( hip slope factor = 1.5) and a hip run of 14 feet. The length of the hip on feet will be:A. 15.B. 21.C. 22.D. 28.
The length of the hip on a hip roof rises 1.5 feet vertically.
The hip roof has a slope of 6 inches per foot ( hip slope factor = 1.5) and a hip run of 14 feet
Length of hip = (square root of (hip run squared + (hip slope factor x roof span squared)))
Plugging in the given values, we get:
Length of hip = (square root of (14 squared + (1.5 x 14 squared)))
Length of hip = (square root of (196 + 294))
Length of hip = (square root of 490)
Length of hip = 22 feet (rounded to the nearest whole number)
Therefore, the correct answer is C. 22.
It's important to note that the hip slope factor is a value used to calculate the actual slope of the hip, which is typically steeper than the pitch of the roof. In this case, the hip slope factor of 1.5 means that for every foot of horizontal run, the hip rises 1.5 feet vertically.
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please be correct :/
Question 12
A recent conference had 750 people in attendance. In one exhibit room of 70 people, there were 18 teachers and 52 principals. What prediction can you make about the number of principals in attendance at the conference?
There were about 193 principals in attendance.
There were about 260 principals in attendance.
There were about 557 principals in attendance.
There were about 680 principals in attendance.
Question 13
A college cafeteria is looking for a new dessert to offer its 4,000 students. The table shows the preference of 225 students.
Ice Cream Candy Cake Pie Cookies
81 9 72 36 27
Which statement is the best prediction about the number of cookies the college will need?
The college will have about 480 students who prefer cookies.
The college will have about 640 students who prefer cookies.
The college will have about 1,280 students who prefer cookies.
The college will have about 1,440 students who prefer cookies.
Question 14
A random sample of 100 middle schoolers were asked about their favorite sport. The following data was collected from the students.
Sport Basketball Baseball Soccer Tennis
Number of Students 17 12 27 44
Which of the following graphs correctly displays the data?
histogram with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled basketball going to a value of 17, the second bar labeled baseball going to a value of 12, the third bar labeled soccer going to a value of 27, and the fourth bar labeled tennis going to a value of 44
histogram with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled baseball going to a value of 17, the second bar labeled basketball going to a value of 12, the third bar labeled tennis going to a value of 27, and the fourth bar labeled soccer going to a value of 44
bar graph with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled basketball going to a value of 17, the second bar labeled baseball going to a value of 12, the third bar labeled soccer going to a value of 27, and the fourth bar labeled tennis going to a value of 44
bar graph with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled baseball going to a value of 17, the second bar labeled basketball going to a value of 12, the third bar labeled tennis going to a value of 27, and the fourth bar labeled soccer going to a value of 44
Question 15
The line plots represent data collected on the travel times to school from two groups of 15 students.
A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 4, 6, 14, and 28. There are two dots above 10, 12, 18, and 22. There are three dots above 16. The graph is titled Bus 47 Travel Times.
A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 8, 9, 18, 20, and 22. There are two dots above 6, 10, 12, 14, and 16. The graph is titled Bus 18 Travel Times.
Compare the data and use the correct measure of center to determine which bus typically has the faster travel time. Round your answer to the nearest whole number, if necessary, and explain your answer.
Bus 18, with a median of 13
Bus 47, with a median of 16
Bus 18, with a mean of 13
Bus 47, with a mean of 16
Answer:
I already did this go check the answers on the other one
Step-by-step explanation:
Express 660 parts per million as a percentage (answer must be numeric, no units or commas, include a leading zero when answer is less than 1)
When expressed as percentage, 660 parts per million will equal to 0.0066%.
Part per million (ppm) should be multiplied by 0.001 of it could be divided by 10000 to convert it into percentage. In order to convert 660 ppm to a percentage, divide it by 10,000, which yields 0.066.
This needs to be multiplied by 100 to achieve the final result of 0.066%, which is how we may describe it as a percentage. Because the answer is less than 1%, you'll see that we added a leading zero.
As a result, the answer is 0.066%.
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The table shows the cost, c, of making different numbers of shirts, t. Create an equation to model the cost. Number of Shirts, t 100 250 500
Cost to Company, c $600. 00 $1,387. 50 $2,700. 00
Equation __
The equation models the cost of making different numbers of shirts, where y is the cost in dollars and x is the number of shirts produced is y = 7.5x - 750
To create an equation that models the cost of making different numbers of shirts, we need to determine the relationship between the number of shirts produced and the cost. One way to do this is to use the two-point form of the equation of a line, which is:
y - y₁ = (y₂ - y₁)/(x₂ - x₁) * (x - x₁)
where (x₁, y₁) and (x₂, y₂) are two points on the line.
Using the points (100, 600) and (250, 1387.50), we can find the slope of the line:
slope = (y₂ - y₁)/(x₂ - x₁) = (1387.50 - 600)/(250 - 100) = 7.5
Then, we can use the point-slope form of the equation of a line to write the equation:
y - y₁ = m(x - x₁)
where m is the slope and (x1, y1) is a point on the line. Using the point (100, 600), we get:
y - 600 = 7.5(x - 100)
Simplifying, we get:
y = 7.5x - 750
This equation models the cost of making different numbers of shirts, where y is the cost in dollars and x is the number of shirts produced.
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How do you find the area of this shaded shape? Thank you!
Answer:
1,760m
Step-by-step explanation:
The side of the smaller triangle is multiplied by 4, which got 44 in the bigger triangle. So you would multiply the base of the smaller by 4 as well, resulting in 80. Now you need to multiply the base and the side of the triangle, and divide that answer by half.
FORMULA FOR A TRIANGLE:
A= 1/2( L x W )
A= 1/2 (44 x 80)
A= 1/2 (3520)
A= 1760
Therefore, the area of the shaded triangle is 1,760m.
SORRY IF THIS DID NOT MAKE SENSE!
Special right triangles
The measure of angle FCD is 130 degrees.
What is an angle?
In planar geometry, an angle is a shape made up of two rays or lines that share an endpoint. The Latin word "angulus" (which means "corner") is where the word "angle" first arose.
The pair of alternative internal angles that are congruent must first be found. The angles formed on the opposing sides of the transversal EF are known as alternate internal angles since AB and CD are parallel lines. We possess
Angle AGE and angle FCD are alternate interior angles.
Angle AGE measures 130 degrees.
Therefore, we can conclude that angle FCD also measures 130 degrees. So, the measure of angle FCD is 130 degrees.
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what is the maximum number of mail swaps bagelbot can perform between officials from a and officials from b? assume every official regularly receives a lot of mail, and bagelbot can redirect any of it anywhere at any time. (i.e., what is the maximum number of edges possible for a bipartite graph between a and b?)
The maximum number of mail swaps that Bagelbot can perform between officials from A and officials from B can be 150 .
It can be determined by calculating the maximum number of edges possible for a bipartite graph between A and B. A bipartite graph is a graph in which the vertices can be divided into two disjoint sets such that every edge connects a vertex in one set to a vertex in the other set.
In this case, the officials from A and officials from B represent the two disjoint sets.
The maximum number of edges in a bipartite graph between A and B can be calculated as the product of the number of officials in A and the number of officials in B. Therefore, if there are n officials in A and m officials in B, the maximum number of mail swaps that Bagelbot can perform is n x m.
For example, if there are 10 officials in A and 15 officials in B, the maximum number of mail swaps that Bagelbot can perform is 10 x 15 = 150.
This means that Bagelbot can potentially redirect up to 150 pieces of mail between officials from A and officials from B.
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3-9 On a 1500 square foot gable roof, there will be approximately 11% waste. (True or False)
Given statement: On a 1500 square foot gable roof, there will be approximately 11% waste.
The given statement is False.
The statement provides information on the amount of waste but does not provide sufficient information to determine the total area of roofing material required for the gable roof.
Therefore, it is impossible to determine whether the waste percentage is accurate or not.
The statement "On a 1500 square foot gable roof, there will be approximately 11% waste" can be either True or False depending on the specific roofing materials and project details.
However, it's not uncommon for roofing projects to have waste percentages in that range (around 10-15%), especially for complex designs or when using materials like shingles.
Keep in mind that waste factors may vary depending on the type of roof, materials used, and installation methods. Always consult with a professional to get accurate waste estimates for your specific project.
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Write a matrix that when multiplied by any point [x/y] would have the effect of rotating the point 90 degrees counterclockwise. Also determine the algebraic effect of performing the transformation on the point A.
The result of rotating the point [-5, 2] by 90 degrees counterclockwise is the point [2, -5].
Define rotationRotation is a transformation in geometry that involves turning or spinning an object around a fixed point called the center of rotation. The center of rotation remains stationary while all the points of the object move along circular paths, at the same angle and distance from the center.
To rotate a point [x/y] counterclockwise by 90 degrees, we can use a 2x2 matrix of the form:
[ 0 -1 ]
[ 1 0 ]
To multiply this matrix by a point [x/y], we can use the following matrix multiplication:
[ 0 -1 ] [ x ] [ -y ]
[ 1 0 ] [ y ] = [ x ]
So, if we have a point [x/y] and we want to rotate it 90 degrees counterclockwise, we can multiply it by the matrix [ 0 -1 ; 1 0 ] to get the new point [-y/x].
To rotate a point 90 degrees counterclockwise using a matrix, we need to represent the point as a column matrix and then multiply it by the 2x2 rotation matrix.
Assuming that the point is [x, y] = [-5, 2], we can represent it as a column matrix:
| -5 |
| 2 |
To rotate the point counterclockwise by 90 degrees, we can use the following 2x2 rotation matrix:
| 0 -1 |
| 1 0 |
Multiplying the rotation matrix by the column matrix representing the point gives:
| 0 -1 | | -5 | | 2 |
| 1 0 | ×| 2 | = | -5 |
So the result of rotating the point [-5, 2] by 90 degrees counterclockwise is the point [2, -5].
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Eat your cereal: Boxes of cereal are labeled as containing 14 ounces. Following are the weights, in ounces, of a sample of 14 boxes. It is reasonable to assume that the population is approximately normal. 14.07 13.99 14.16 14.17 14.15 14.11 14.24 13.99 14.14 14.13 14.20 14.21 14.06 14.05 Send data to Excel Part: 0 / 20 of 2 Parts Complete Part 1 of 2 (a) Construct a 99.9% confidence interval for the mean weight. Round the answers to at least three decimal places. A 99.9% confidence interval for the mean weight is <<μ.
The 99.9% confidence interval for the mean weight is (14.042, 14.202).
What is statistics?
Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of numerical data.
To construct a 99.9% confidence interval for the mean weight, we can use the formula:
CI = X ± Zα/2 * (σ/√n)
where X is the sample mean, Zα/2 is the critical value from the standard normal distribution corresponding to a 99.9% confidence level (which is 3.291), σ is the population standard deviation (which we don't know, so we will use the sample standard deviation as an estimate), and n is the sample size.
First, we need to calculate the sample mean and sample standard deviation:
X = (14.07 + 13.99 + 14.16 + 14.17 + 14.15 + 14.11 + 14.24 + 13.99 + 14.14 + 14.13 + 14.20 + 14.21 + 14.06 + 14.05) / 14 = 14.122
s = sqrt((1/(n-1)) * ∑(xᵢ - X)²) = 0.072
where n is the sample size and ∑(xᵢ - X)² is the sum of squared deviations from the sample mean.
Plugging in the values, we get:
CI = 14.122 ± 3.291 * (0.072/√14) = (14.042, 14.202)
Therefore, the 99.9% confidence interval for the mean weight is (14.042, 14.202).
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Emily predicted her car payment to be $250 each month. Her actual car payment is $275 each month. By what percent was Emily’s prediction off?
Answer:
10%
Step-by-step explanation:
help please
A family is filling up a circular pool. The pool has a depth of 6 feet and a diameter of 8 feet. If there are approximately 7.48 gallons of water in a cubic foot, how many gallons of water will it take to fill up the pool completely? Use π = 3.14 and round to the nearest gallon.
2,255 gallons
1,127 gallons
301 gallons
40 gallons
To fill the entire pool we will 2,255 need gallons of water.
What is volume?Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m3), a derived unit, is the SI unit of volume. Volume is another word for capacity.
Given, A family is filling up a circular pool. The pool has a depth of 6 feet and a diameter of 8 feet.
From the general formula of the volume of a cylinder,
Volume = pi × radius² × height
In our case,
radius = 8/2 = 4
Height = 6
Thus, Volume = 3.14 × 4 × 4 × 6
The volume of the Pool = 301.44 Cubic foot
Since there are 7.48 gallons of water in a cubic foot
Thus,
The volume of the pool in gallons = 301.44 × 7.48
The volume of the pool in gallons = 2,254.77
Therefore, to fill the entire pool we will 2,255 need gallons of water.
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Answer:
To fill the entire pool we will 2,255 need gallons of water.
Step-by-step explanation:
one box contains 4 green balls and 3 red balls. another box contains 4 redballs and 3 purple balls. a box will be selected at random, then two balls willbe randomly selected from that box without replacement. if the first ball isred, what is the probability that the second ball also will be red? express youranswer as a common fraction and sum the numerator and denominator.
The probability of drawing two red balls in a row from one of the two boxes, given that the first ball drawn is red, is 1/7.
The first step in solving this problem is to determine the probability of selecting the red box versus the other box. Since we have two boxes and each one has an equal chance of being selected, the probability of selecting the red box is 1/2.
Now we can put all of these probabilities together to determine the overall probability of drawing two red balls in a row from one of the two boxes.
We know that the probability of selecting the red box is 1/2, the probability of drawing a red ball on the first try is 4/7, and the probability of drawing a red ball on the second try, given that we've already drawn one red ball, is 1/2.
To find the overall probability, we simply multiply these three probabilities together:
(1/2) x (4/7) x (1/2) = 1/7
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The probability that the second ball will be red, given that the first ball is red, is 3/7.
Explanation:To find the probability that the second ball will also be red given that the first ball is red, we need to consider two cases.
Case 1: Selecting a box with 4 red balls and 3 purple balls.
The probability of selecting a red ball from this box is 4/7. Since we are drawing without replacement, the probability of selecting another red ball is 3/6.Case 2: Selecting a box with 4 green balls and 3 red balls.
The probability of selecting a red ball from this box is 3/7. Since we are drawing without replacement, the probability of selecting another red ball is 2/6.Now, we calculate the overall probability by adding the probabilities of the two cases: (4/7) * (3/6) + (3/7) * (2/6) = 12/42 + 6/42 = 18/42 = 3/7.
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What is the slope from (−4, 6) to (2, 2/3)
The slope from of (−4, 6) to (2, 2/3) can be written as -17/18
How can the slope be written?The slope of line can be represented as =slope whereby (x1, y1) = serves as the coordinates of first point in the line (x2, y2)serve as as the coordinates of second point in the line
From the question, x1 = -4, y1 = 6 , x2 = 2, y2 =2/3 then we can set up into the formula as
(y2 - y1) / (x2 - x1)
(y2 - y1) =(2/3 - 6) =-17/3
(x2 - x1) = (2 - (-4))= 6
Hence slope = -17/18
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You toss a coin 50 times and observe 35 heads. You can conclude that:Question 4 options:a) this coin is not fair, but is weighted to land heads-up.b) the true probability of getting a head on any random flip of this coin could be far from 0.70.c) the probability of getting a head on any random flip of this coin is 0.70.d) you are not very good at coin-flipping since you should get 25 heads if you're doing it correctly.
Answer: its b
Step-by-step explanation: all coins have a heads and tails so that takes out c.
d is just for jokes
a. a coin in a school problem is not gonna be wieghted.
financial planner puts $3,500 into a college savings plan that pays 7.5% simple interest annually. If no additional deposits are made into the savings plan, how much interest is accumulated at the end of 5 years? A. $262.50 |B. $1,312.50* C. $ 2,625.00 D. $4,812.50
Thus, the amount of simple interest accumulated on the given principal of $3500 after 5 years is $1312.50.
Define about the term simple interest:Simple interest (SI) is calculated as a percentage added to the principle amount deposited or borrowed for a given period of time. SI is typically expressed as years.
As a result, it represents the real expense incurred on the main sum. The accrued interest is not included in this. SI and CI are very dissimilar to one another. CI is the interest rate applied to both the principal amount and the total amount of unpaid interest.Given data:
Principal P = $3,500Simple Interest rate R = 7.5%Time T = 5 yearsSimple interest formula:
SI = PRT / 100
SI = 3500*7.5*5 / 100
SI = 1312.5
Now,
Amount = principal + simple interest
Amount = 3500 + 1312.5
Amount = $4812.50
Thus, the amount of simple interest accumulated on the given principal of $3500 after 5 years is $1312.50.
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How many more bytes of information are in a gigabyte than a megabyte?
Answer:
999,000,000 bytes
Step-by-step explanation:
if you subtract the total of the gigabytes from the total of the megabytes you get this answer.
What three regular polygons have special triangles formed by their radius and apothem and what are the special triangles?
The regular triangle, regular hexagon, and regular dodecagon have special triangles formed by their radius and apothem, which are congruent right triangles with legs equal to half the length of one side and hypotenuse equal to the radius or apothem, and are 30-60-90 triangles.
Regular polygons with three special triangles formed by their radius and apothem are,
Regular triangle
The radius and apothem of an equilateral triangle are equal. Therefore, the special triangles formed by the radius and apothem are congruent right triangles with legs equal to half the length of one side of the equilateral triangle and hypotenuse equal to the radius or apothem. In other words, the special triangles are 30-60-90 triangles.
Regular hexagon
The radius of a regular hexagon is equal to the length of one side, and the apothem is equal to the height of an equilateral triangle with side length equal to the length of one side of the hexagon.
Regular dodecagon
The radius of a regular dodecagon is equal to the length of one side multiplied by the square root of 2 plus the square root of 2 times the square root of 3. The apothem is equal to the height of an isosceles triangle with base equal to one side of the dodecagon and legs equal to the radius of the dodecagon.
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For the hexagon, the special triangle formed by its radius and apothem is a 30-60-90 right triangle, where the radius is the hypotenuse and the apothem is the longer leg.
The three regular polygons that have special triangles formed by their radius and apothem are the triangle, square, and hexagon.
For the triangle, the special triangle formed by its radius and apothem is a 30-60-90 right triangle, where the radius is the hypotenuse and the apothem is the shorter leg.
For the square, the special triangle formed by its radius and apothem is a 45-45-90 right triangle, where the radius is the hypotenuse and the apothem is one of the legs.
For the hexagon, the special triangle formed by its radius and apothem is a 30-60-90 right triangle, where the radius is the hypotenuse and the apothem is the longer leg.
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The variables x and y vary inversely. Use the given values to write an equation relating x and y . Then find y when x=−3 .
x = 1, y = 5
The equation is y =
Step-by-step explanation:
to vary inversely means that
y = k/x
the opposite would be to vary directly :
y = kx
so, in our case
5 = k/1
k = 5
y = 5/x
therefore, for x = -3
y = 5/-3 = -5/3 = -1.666666666...
Find the surface area of the pyramid.
PLEASE HELP I HAVE TO SUBMIT THIS SOON AND I CANT FIGURE IT OUT
The surface area of the pyramid is approximately 721.04 square feet.
Describe Area?Area is a measure of the size of a two-dimensional region or surface, such as a rectangle, triangle, circle, or any other shape. It is the amount of space inside the boundaries of a closed figure, expressed in square units. The unit of measurement used for area depends on the context and the system of measurement being used, but some common units include square meters, square centimeters, square feet, and square inches.
To calculate the area of a regular shape, such as a square or rectangle, you can multiply the length of the base by the height or width of the shape. For more complex shapes, such as triangles or circles, different formulas can be used depending on the properties of the shape. Area is an important concept in geometry, as well as in many other areas of mathematics, science, engineering, and everyday life.
To find the surface area of the pyramid, we need to find the area of each face and add them up.
Since the base of the pyramid is a square, and the length of each side is 13 ft, the area of the base is:
Area of base = (13 ft) x (13 ft) = 169 sq ft
To find the area of each triangular face, we first need to find the slant height of the pyramid. The slant height is the distance from the apex of the pyramid to the midpoint of one of the sides of the base. We can use the Pythagorean theorem to find the slant height:
Slant height = √( (1/2 x 13 ft)² + 18 ft² )
= √( 169 ft² + 324 ft² )
= √493
≈ 22.18 ft
Now we can find the area of each triangular face using the formula:
Area of triangle = (1/2) x base x height
where the base is one of the sides of the square base, and the height is the slant height we just found. Therefore, the area of each triangular face is:
Area of triangle = (1/2) x 13 ft x 22.18 ft
≈ 143.01 sq f
Since there are four triangular faces, the total surface area of the pyramid is:
Total surface area = 4 x Area of triangle + Area of base
= 4 x 143.01 sq ft + 169 sq ft
≈ 721.04 sq ft
Therefore, the surface area of the pyramid is approximately 721.04 square feet.
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PLEASEEEE HELP ME I NEEEED AN EXPERT TO DO THIS ):
Answer: B
Step-by-step explanation:
Answer:
The answer is B) -35.16 grams per half-life cycle
Nathan is making lemonade to sell at a school fundraiser. His recipe requires $4 times as much water as sugar and twice as much sugar as lemon juice. He uses $3 cups of lemon juice. How many cups of water does he need
Nathan needs 24 cups of water to make his lemonade recipe.
Let's call the amount of lemon juice Nathan uses "x".
We know that Nathan uses 3 cups of lemon juice, so we can substitute x = 3 into the problem.
According to the recipe, the amount of sugar Nathan needs is twice the amount of lemon juice, so he needs 2x cups of sugar.
Substituting x = 3, we get that Nathan needs 2(3) = 6 cups of sugar.
The amount of water Nathan needs is four times the amount of sugar he needs, so he needs 4 times 6 cups of water, which is equal to 24 cups of water.
Therefore, Nathan needs 24 cups of water to make his lemonade recipe.
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The median of distribution A is 8. which of these could be the mean?
a. 7
b. 8
c. 9
d. It cant be determined
Answer:
Step-by-step explanation:
The mean of the distribution with a median of 8 could also be: Option B: 8
How to interpret the mean, median and mode?The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.
The median is defined as the middle value when a data set is ordered from least to greatest.
The mode is defined as the number that occurs most often in a data set.
Now, one good relationship between the 3 measures is given as:
3(median) = mode +2(mean)
Thus, if our median is 8, then it is very possible that our means could also be 8
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sweets are sold loose,or pre-packed in 120g bags
Step-by-step explanation:
The option that has the better value is the loose sweets.
What is division?
Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷. Division is one of the basic mathematical operations.
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Which pack has the better value?
Price per gram for the bag = £1.49 / 120 = £0.0124
Price per gram for the loose sweets = £0.89 / 100 = £0.0089
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A restaurant offers 18 types of pizza. A small cafe offers 1/3 as many types of pizza. How many fewer types of pizza does the small cafe offer?
Answer:
6 fewer pizzas
Step-by-step explanation:
The small cafe offers 6 fewer types of pizza than a restaurant. The restaurant offers 18 different types of pizzas and the cafe offers 1/3 as many types of pizzas which means what we have to find 1/3 of 18.
1/3 of 18 is 6 because 6*3 is 18
18 - 6 = 12 which is the number of pizzas the cafe offers but this is slightly irrelevant to the question because the question is asking how many FEWER pizzas the cafe sells than the restaurant
So, the small cafe offers 6 FEWER pizzas than the restaurant.
Hope this helps!