To find A's best response to B choosing L in normal form game, we can compare the payoffs for A choosing H and L when B chooses L.
If A chooses H and B chooses L, then A's payoff is 0 and B's payoff is 6.
If A chooses L and B chooses L, then A's payoff is 3 and B's payoff is 3.
Comparing the payoffs, we see that A gets a higher payoff if he chooses H when B chooses L. Therefore, A's best response to B choosing L is H.
To find B's best response to A choosing L, we can compare the payoffs for B choosing H and L when A chooses L.
If A chooses L and B chooses H, then A's payoff is 9 and B's payoff is 4.
If A chooses L and B chooses L, then A's payoff is 3 and B's payoff is 3.
Comparing the payoffs, we see that B gets a higher payoff if he chooses L when A chooses L. Therefore, B's best response to A choosing L is L.
So, the answer is (c) L;H. A's best response to B choosing L is H, and B's best response to A choosing L is L.
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Right Angle Trigonometry
Answer: The answer to
sinΘ = 7/7√2
cosΘ = 7/7√2
tanΘ = 7/7
cosecΘ = 7√2/7
secΘ = 7√2/7
cotΘ = 7/7
Step-by-step explanation:
The given triangle consists of three sides namely, hypotenuse, opposite and adjacent.
The value of the hypotenuse is 7√2 and the value of the adjacent is 7.
We will calculate the value of the adjacent.
By Pythagoras' theorem, (hypotenuse)^2=(opposite)^2+(adjacent)^2
Putting the given values, (7√2)^2=(opposite)^2+(7)^2
(opposite)^2=(7√2)^2-(7)^2
(opposite)^2=98-49
(opposite)^2=49
Therefore, the value of the opposite is 7.
Now, we can put the following values in the trigonometric table.
sinΘ = opposite/hypotenuse = 7/7√2
cosΘ = adjacent/hypotenuse = 7/7√2
tanΘ = opposite/adjacent = 7/7
cosecΘ = hypotenuse/opposite = 7√2/7
secΘ = hypotenuse/adjacent = 7√2/7
cotΘ = adjacent/opposite = 7/7
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Find the volume of the figure below. Use 3.14 for pi. Round your answer to the nearest
tenths place if necessary.
The volume of cone as per given figure is 314cm³.
The following mathematical operation must be carried out in order to determine a cone's volume: V = Π(h/3)r². The surface area of the circular portion of a cone is simply πr2. The lateral face wrapping around this base is calculated as πrl, or if you aren't given the slant height, you can use the formula πr√(r2+h2).
To calculate the volume of a cone, we apply the following formula:
, where V = volume
h = height
r = radius
π = pi
(h = height of cone, r= radius of cone)
Given:
Height of cone = 12 cm
Radius of cone = 5 cm
Volume of cone, V = 3.14 * (12/3 )* 5* 5
= 3.14 * 20 * 5
= 3.14 * 100
= 314 cm³
Therefore, The volume of cone as per given figure is 314cm³.
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Determine whether the triangles are similar. If so, write a similarity statement. Explain ur reasoning.
Answer:
Both 2B and 2A are not similar.
Step-by-step explanation:
----------------------------------------
Let me be helpful!
Let's start with 2B. It is easier to understand the subject that way.
->for a triangle to be similar, it's angles and sides must be the same.
-2B's triangle shows that line TW got scaled by x2.2 (22/10)
-Line ZW got scaled by 1.18
-2b are not similar.
Now on it 2A!
- line JK got scaled by 0.75
- Line JL got scaled by 0.5
-they are not similar
Let me know if I am incorrect!
-A friendly 8th grader :)
A glass contains 320cm3 of milk. The mass of the milk is 330g. Calculate the density of the milk in kilograms per cubic metre (kg/m3). Give your answer to the nearest integer
The density of the milk is 1031.25 kg/m³.
How to calculate the density of milk?Density refers to the mass of a unit volume of a material substance.
Density (ρ) = mass (m) / volume (V)
Given:
Volume (V) = 320cm³ = 0.00032m³
Mass (m) = 330g = 0.33kg
The Density (ρ) of the milk wll be:
= 0.33kg / 0.00032m³
= 1031.25 kg/m³
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[amc10b.2020.14] as shown in the figure below, six semicircles lie in the interior of a regular hexagon with side length 2 so that the diameters of the semicircles coincide with the sides of the hexagon. what is the area of the shaded region ---- inside the hexagon but outside all of the semicircles?
Six semicircles lie in the interior of a regular hexagon with a side length of 2 so that the diameters of the semicircles coincide with the sides of the hexagon. The zone of the shaded locale is around 10.3923 square units.
We will approach this problem by first finding the region of the hexagon and after that subtracting the zones of the six semicircles from it. The zone of a customary hexagon with side length 2 can be found utilizing the equation:
Region of hexagon = (3√3/2) x side[tex]^{2}[/tex]
Substituting the given esteem of side length, we get:
Area of hexagon = (3√3/2) x 2[tex]^{2}[/tex] = 6√3
The range of a crescent is half the region of the comparing circle. So, the zone of each crescent is:
Range of semicircle = 1/2 x π x radius[tex]^{2}[/tex] = 1/2 x π x 1^[tex]^{2}[/tex]= π/2
There are six semicircles, so the whole range of the semicircles is:
Add up to the zone of semicircles = 6 x π/2 = 3π At long last, able to find the zone of the shaded locale by subtracting the region of the semicircles from the range of the hexagon:
Zone of shaded locale = Range of hexagon - Add up to a range of semicircles
= 6√3 - 3π
≈ 10.3923 thus, the zone of the shaded locale is around 10.3923 square units.
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A researcher wanted to know if an anti-smoking video reduced smoking rates. The video has been extensively designed to reduce smoking using techniques proven in previous research to lower smoking rates. The mean daily consumption rate for 8 people was recorded before and after watching the video. The data are below. Do the 6 steps to inferential statistics to test the researchers question?
The 6 steps for inferential statistics to test researchers question can be:
State the null and alternative hypothesesDetermine the level of significanceIdentify the test statistic and its probability distributionCalculate the test statisticMake a decision and interpret the resultsSummarize the resultsWhat are inferential statistics?It is the branch of statistics that is concerned with obtaining information about a population from a sample of that population. It is used to make inferences, that is, draw conclusions and make predictions about the population based on the information obtained from the sample.
These assertions are based on hypothesis tests, confidence intervals and statistical models.
Therefore, the goal of inferential statistics is to make accurate and reliable statements about the population using limited sample information.
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mass of water vapor (g) / mass of dry air (kg)
is the humidity measure of....
-the mixing ratio.
-relative humidity.
-vapor pressure.
-absolute humidity.
The mass of water vapor (g) / mass of dry air (kg) is the humidity measure of the mixing ratio
The mixing ratio is defined as the mass of water vapor in grams divided by the mass of dry air in kilograms in a mixture of air and water vapor. It is a useful parameter for meteorologists and atmospheric scientists to describe the amount of water vapor in the atmosphere, particularly in the upper atmosphere where the relative humidity may be very low.
Relative humidity is the ratio of the partial pressure of water vapor in the air to the equilibrium vapor pressure at a given temperature and pressure, expressed as a percentage. Vapor pressure is the pressure exerted by a vapor in thermodynamic equilibrium with its condensed phases at a given temperature in a closed system. Absolute humidity is the mass of water vapor per unit volume of moist air.
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How do you find the hypotenuse of a 45-45-90 triangle if you know the length of the legs?
The length of the hypotenuse of a 45-45-90 triangle is √2x units.
To find the hypotenuse of a 45-45-90 triangle, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the two shorter sides (legs) is equal to the square of the longest side (hypotenuse).
Let's denote the length of each leg of the triangle as "x". Since the triangle is isosceles, both legs are of equal length. Therefore, we can write:
Leg 1 = Leg 2 = x
To find the length of the hypotenuse (which we'll call "h"), we can use the Pythagorean theorem as follows:
x² + x² = h²
Simplifying this equation, we get:
2x² = h²
To solve for h, we need to take the square root of both sides of the equation:
√(2x²) = √(h²)
√2 * x = h
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a large, round pizza has an area of 254.47in ^2. if the pizza fits snuggly in a square box, how much of the bottom of the box is NOT taken up by the pizza? round answer to the nearest hundredth
Therefore , the solution of the given problem of area comes out to be the pizza only occupies 0.24 square inches of the box's bottom.
What exactly does an area mean?The object's overall size can be determined by figuring out how much room would be required to completely enclose the object's exterior. When selecting an analogous item with a tubular form, the environment is taken into account. Anything's total dimensions are determined by its surface area. The amount of water that a cuboid can hold depends on the number of sides that link its four trapezoidal shapes.
Here,
Assume that the square box's side length is "s" inches.
The pizza's size is specified as 254.47 in2. The area of the pizza would be equal to the area of the square box because it fits tightly inside of it.
=> s² = 254.47
=> s = √(254.47)
=> s = 15.95 inches
If you round to two decimal places, the area of the square box minus the area of the pizza is equal to (15.95)2 - 254.47, or 0.24 in2.
Therefore, the pizza only occupies 0.24 square inches of the box's bottom.
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ANSWER ASAP AND PLEASE BE CORRECT FOR BRAINLIST PLEASE HURRY IT'S DUUE IN 4 MORE HOURS AND I WILL FAIL PLEASE HELP ME !
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
12) There were about 557 principals in attendance. 13) Option A: The college will have about 480 students who prefer cookies. 14) Option C: bar graph, title favorite sport and the x axis labeled sport and the y axis.
What is proportion?The relationship between two quantities that are measured on the same scale and in the same units is known as a percentage. The relative size or magnitude of one thing in comparison to another is represented by proportions, which are frequently stated as ratios, fractions, or percentages. For instance, if there are 8 girls and 12 boys in a class, the girl-to-boy ratio is 8:12, or 2:3, which indicates that there are 3 guys for every 2 girls. Statistics, geometry, and physics are just a few of the mathematical and scientific disciplines that use proportions. Proportions are frequently used in statistics to describe the distribution of a population or a sample.
12) For the number of principals in conference we set up a proportionality with total people as follows:
We know that, 52 principals out of 70 people thus:
52/70 = x/750
Now,
x = (52/70) * 750
x = 557.14
Hence, we can predict that there were about 557 principals in attendance at the conference.
13) Given that, out of 225 students 27 prefer cookies thus,
27/225 = 0.12
That is 12% students like cookies.
Now, for the total number of students we have:
0.12 * 4000 = 480
Thus, option A: The college will have about 480 students who prefer cookies.
14) For the collected data the best representation is option C: 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.
15) For the given description of the line plot the median is:
For Bus 47 = 16
For Bus 18 = 13
The faster bus is Bus 47, with a median of 16.
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a b c or d please help quick
Answer:
D.
Step-by-step explanation:
By looking at them I feel like D. is the best option
6 Three vertices of a rectangle are (7, 2), (3, 2), and (3, 9).
. What are the coordinates of the fourth vertex?
• What is the perimeter of the rectangle?
Explain how you would find the highest point the rider achieved on this jump.
A. What would be the two quantities you would measure for x and y?
B. What would your equation possibly look like? Put the picture on a grid and show some possible points
C. What points could you use to find the maximum height? How would you use those points? Be specific
Answer:
Step-by-step explanation:
36
Need help with all please
Answer:
Step-by-step explanation:
1 )
a) quotient of powers as dividing two powers with the same base, we subtract the exponents.
b) product of powers when you are multiplying two terms with the same base, you add their exponents
c) property of negative exponents. According to the rules of exponents, a negative exponent can be rewritten as the reciprocal of the base raised to the positive exponent.
2)
Yes, when raising a fraction to a power with parentheses, the same principles apply as when raising a fraction to a power without parentheses. When evaluating expressions with fractions and exponents, the order of operations, including parentheses, is followed. To re-write the expressions (1/3)^2 is = (1/9) and (1/3)^-2 is equal to 9 9*(1/9) is 1 which is the rule of the product of powers. then the same applies to the second expression
3)
[tex](-2.3^{2})^{6}[/tex] power to a power rule
[tex](\frac{1}{4}) ^{3}[/tex] power of a quotient
[tex]6^{4}[/tex] power to a power rule
[tex]7^{-1}[/tex] product of powers
ps: please grade me appropriately if you need more help with problems I am glad to help and these stars mean a lot to me. make sure you study your exponent laws and all the best!
pls answer fast
q is below:
the city's pr manager, who never took statistics, claimed the mean score of all ninth graders in the city was the average of 77, 91, and 71, which is 79.7. of course, that is incorrect. what is the mean score for all ninth graders in the city? round to one decimal place.
The mean score of the given three scores is approximately 26.6, which is not the mean score for all ninth graders in the city.
To find the mean score for all ninth graders in the city, we need more information than just three scores. Without additional data, we cannot accurately determine the mean score for all ninth graders in the city.
However, we can calculate the mean of the given scores to verify that it is not 79.7 as claimed by the PR manager:
Mean = (77 + 91 + 71) / 3 = 79.7/3 = 79.7 ÷ 3 ≈ 79.7/3 ≈ 26.6
So the mean score of the given three scores is approximately 26.6, which is not the mean score for all ninth graders in the city.
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in how many ways can the letters d, i, g, i, t be arranged so that the two i's are not next to each other?
There are 36 ways to arrange the letters d, i, g, i, t so that the two i's are not next to each other.
To find the number of ways the letters d, i, g, i, t can be arranged so that the two i's are not next to each other, follow these steps:
Consider the four non-i letters: d, g, t.
There are 3! (3 factorial) ways to arrange these letters, which is equal to 3 x 2 x 1 = 6 ways.
Since we want to prevent the two i's from being next to each other, we can think of placing them in the "gaps" between the non-i letters.
There are 4 possible gaps for the i's to be placed: (i) d (i) g (i) t (i).
Since there are two i's, we need to choose 2 of the 4 gaps to place them in.
This can be done in 4C2 ways (combination), which is equal to 4! / (2! x (4-2)!) = 6 ways.
Multiply the number of ways to arrange the non-i letters (step 1) with the number of ways to place the i's (step 3): 6 x 6 = 36.
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There are 72 ways to arrange the letters d, i, g, i, t so that the two i's are not next to each other.
To arrange the letters d, g, i, t, and i so that the two i's are not next to each other, follow these steps:
Step 1: Treat the two i's as one entity for now (denoted as [i]). So, we have 4 entities: d, g, t, and [i].
Step 2: Arrange these 4 entities (d, g, t, and [i]) in any order. There are 4! (4 factorial) ways to do this, which is 4 x 3 x 2 x 1 = 24 ways.
Step 3: Now, we need to separate the two i's. There are 3 spaces between the other letters (d, g, and t) where we can place the second i.
For example: if the arrangement is d-[i]-g-t, the second i can be placed in any of the three spaces indicated by the dashes.
Step 4: For each of the 24 arrangements from Step 2, there are 3 possible ways to place the second i. So, the total number of arrangements is 24 x 3 = 72 ways.
Thus, there are 72 ways to arrange the letters d, i, g, i, t so that the two i's are not next to each other.
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A parabola opening up or down has vertex (0,-6) and passes through (-6,3). Write its equation in vertex form.
The equation of the parabola in vertex form is y = (1/4)x² - 6.
What is the equation of the parabola?To write the equation of the parabola in vertex form, we use the formula:
y = a(x-h)² + k
Where (h,k) is the vertex and "a" is a constant that determines the shape of the parabola.
Given that;
The vertex is (0,-6)
Hence:
h = 0 and k = -6.
We can substitute these values into the formula to get:
y = a(x-h)² + k
y = a(x - 0)² - 6
y = ax² - 6
Now we need to find the value of "a". We are also given that the parabola passes through the point (-6,3).
x = -6 and y = 3
We can substitute this point into the equation to get:
y = a(x - h)² + k
3 = a( - 6)² - 6
3 = 36a - 6
9 = 36a
a = 1/4
Now we know the value of "a", we can substitute it back into the equation we derived earlier:
y = ax² - 6
y = (1/4)x² - 6
Therefore, the equation in vertex form is y = y = (1/4)x² - 6.
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Check these questions?
Answer: Looks pretty good :) !
C
A
2. A point C is on the line
segment AB such that A =
(4,3), B (14,7) and AC: CB =
2:3. Find the coordinate of C.
Answer:
Step-by-step explanation:
you are given a 100-meter-long rope, and you need to measure a length of 10 meters without any measuring devices. you can only fold or manipulate the rope, but you cannot cut or mark it. how can you measure 10 meters accurately?
To measure a length of 10 meters without any measuring devices from 100 meters rope is fold the rope ten times and 10th fold of 100 m rope is equals to 10 m.
Total Length of rope = 100 meters
We need to measure a length of 10 meters without using any measuring devices. The ways that we can use to measure the required length includes only fold or manipulate the rope, but you cannot cut or mark it. Now, we use the division arithmetic operation to measure the length. The factors of 100 is written as 100 = 2×2× 5×5 = 10× 10
If we divide 100 by 10 then results 10 as quotient and 0 as remainder. So, the rope with length 100 meters is divided into 10 parts of 10 meters length of rope. But we cannot cut the rope, so folds the rope ten times ( i.e, first half -half then again half into half-half). Therefore, the last fold is measure of length 10 meters.
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What is (7x1/10) + (9x1/100) + (9x1/1000) answer in decimal form
Answer:
Step-by-step explanation: Multiplication first 7x1 = 7, Take 7 and divide it by 10 which gives you 0.7, Do the same but for the other 2 questions,
(9x1/100 = 0.09)
(9x1/1000 = 0.009)
(7x1/10 = 0.7)
Now take the answers and add them up
0.09 + 0.009 + 0.7 = 0.799
Answer: 0.799
Little Johnny's lemonade stand sells glasses of lemonade for 75 cents per class. If he sells 125 glass, how much money did he make?
$75.00
$93.75
$935.75
$9375.00
The length of PR is 18. Find the length of ST.
Round your answer to the nearest tenth.
The length of ST obtained using Pythagorean Theorem is about 13.2 units
What is the Pythagorean Theorem?Pythagorean Theorem states that the square of the length of the hypotenuse side of a right triangle is the sum of the square of the other two legs of the triangle.
The length of the segment [tex]\overline{PR}[/tex] = 18
[tex]\overline{RS}[/tex] = [tex]\overline{SP}[/tex] = 16 (Radial length of the same circle)
Triangle ΔSRP is an isosceles triangle, therefore, ∠SRP ≅ ∠SPR
[tex]\overline{ST}[/tex] ≅ [tex]\overline{ST}[/tex] (Reflexive property of congruence)
Triangles ΔRST and ΔPST are congruent by the Hypotenuse Leg, HL rule of congruent triangles
Therefore; RT ≅ PT
RT + PT = 18
RT + RT = 18
2 × RT = 18
RT = 18/2 = 9
RT = 9
Therefore, ST, can be obtained using Pythagoras Theorem as follows;
ST = √(16² - 9²) = 5·√7 ≈ 13.2
The length of the side ST is about 13.2 units long
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if your math class had a greater standard deviation for the first quiz of the unit than they did for the second quiz of the unit, what would this tell you?
A greater standard deviation for scores on the first quiz than on the second quiz would state that the results were less consistent on the first quiz than on the second quiz.
How to calculate the mean and the standard deviation of the data-set?The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations, which is also called the cardinality of the data-set.The standard deviation of a data-set is given by the square root of the sum of the differences squared between each observation and the mean, divided by the cardinality of the data-set.The standard deviation of a data-set measures the consistency of the data-set, and the higher the standard deviation, the less consistent the data-set is.
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the radius of a circle is 24 cm and an arc length on that same circle is 148.8 cm. what's the radian measure of th central angle which intercepts the arc
The radian measure of the central angle which intercepts the arc is 6.2 radians.
We can use the formula relating the arc length to the angle and radius of the circle:
arc length = radius x central angle in radians
Plugging in the given values, we get:
148.8 = 24 x central angle in radians
Solving for the central angle, we have:
central angle in radians = 148.8/24
central angle in radians = 6.2 radians
Therefore, the radian measure of the central angle which intercepts the arc is 6.2 radians.
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what is the correct order of the numbers from least to greatest 1\2, 0.6,6%,6\5
Thus, the correct order of the numbers from least to greatest: 6% < 1/2 < 0.6 < 6/5
Explain about the ascending order:In an ascending list, the item that is smallest, first, or oldest will be at the top:
The order of a number or amount is from smallest to largest. The list will be arranged with lower values at the top.The alphabetical order of the sort is A to Z for letters and words.With data that includes both numbers and letters or words, like address lines, the sort is probably alphanumeric, which means that 0–9 is sorted first, then A–Z, and so on.Given number-
1\2, 0.6,6%,6\5
convert all numbers in its fraction form:
1\2 = 0.5
0.6 = 0.6
6% = 0.06
6\5 = 1.2
Order from least to greatest: 0.06, 0.5, 0.6 1.2
Or,
Thus, the correct order of the numbers from least to greatest 6% < 1/2 < 0.6 < 6/5
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Given f (x) = - 5x - 4 solve for when x f(x) = 1
Thus, the value of x for the given output of the function f(x) = 1 is found as: x = -1.
Explain about the domain of function:A function is a mathematical construct that receives an input, processes it according to a rule, and then outputs the outcome.
Graphing and algebra are the two techniques used to determine a function's domain. Use the equation to consider inputs that would result in an undefined value, including such fractions and square roots, in order to obtain the domain algebraically. Decide where the function is graphed and note the x-values of the region(s) to locate it by graphing.Given that:
f (x) = - 5x - 4 solve for when f(x) = 1Put f(x) = 1 in the given function to find x.
f (x) = - 5x - 4
1 = - 5x - 4
Isolating the x
-5x = 1 + 4
-5x = 5
x = 5/ -5
x = -1
Thus, the value of x for the given output of the function f(x) = 1 is found as: x = -1.
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can you find the probability of one thing happening before another based on their expected time until occurance
Yes, we can determine the probability of one thing happening before another based on their expected time to occur.
A coin has two sides: one side ("heads") is side A and the other ("tails") is side B. A coin is tossed into the air and the question is what are the chances, the "probability" if you want it to land on side A. The probability of an event occurring describes the number of chances that the event occurred. The total probability of hitting A before B is the sum: P(A before B) = p + rp + r² + r³p + r⁴p + … = p[1 + r + r² + r³ + r⁴ + … ] and this determines the result. Thus, it is possible to determine the probability of one thing happening before another, based on their expected time to occur.
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Kevin has a remote control car. Every 3/40 of a second, the remote control car travels 3/ 8 of a foot. How many feet per second does the remote control car travel?
The number of feet per second that the remote control car travels is: 5 ft/s
How to divide fractions?The formula to find the speed from distance and time is:
Speed = Distance/time
Now, we are given:
Time: t = 3/40 seconds
Distance = 3/8 ft
Thus:
Speed = (3/8)/(3/40)
Speed = (3/8) * (40/3)
Speed = 5 ft/s
Thus, that is the speed that the remote control car travels
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