The expression 350 ml is equivalent to approximately 11.83 fluid ounces (fl oz).
How to convert the unitsFrom the question, we have the following parameters that can be used in our computation:
350 ml = x oz
To convert milliliters to fluid ounces
We can use the conversion factor of 1 milliliter = 0.033814 fluid ounces.
So, to convert 350 ml to fluid ounces, we can multiply 350 by 0.033814, which gives us:
350 ml x 0.033814 fl oz/ml = 11.83 fl
So, 350 ml is approximately equal to 11.83 fluid ounces.
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A blood bank needs 7 people to help with a blood drive. 13 people have volunteered. Find how many different groups of 7 can be formed from the 13 volunteers
Eren constructed a rectangular paper box with a volume of 180in. His box has a length of x inches, a width of 5 inches less than its length, and a height 2 inches more than its length. What is the length of the box?
The length of the box is x = 13 inches. To find this, we need to solve the equation V = l*w*h = 180, where l is the length, w is the width, and h is the height.
We know that w = l - 5 and h = l + 2, so we can substitute these into the equation to get 180 = l(l - 5)(l + 2). After rearranging, we get
[tex]l^3 - 3l^2 - 7l - 180[/tex] = 0.This can be solved using the cubic formula, which gives us l = 13. We can thus conclude that the length of the box is 13 inches.
To calculate this, we first need to set up the equation. We know that the volume of the box is 180 in³ and the width is 5 inches less than the length, and the height is 2 inches more than the length. We can then substitute this into the equation V = lwh to get 180 = l(l - 5)(l + 2).
After rearranging, we get
[tex]l^3 - 3l^2 - 7l - 180[/tex] = 0.This can be solved using the cubic formula, which gives us l = 13. We can thus conclude that the length of the box is 13 inches.
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a small town in the UK has only 600 high school students. what is the largest possible sample you can take from this town and still be able to calculate the standard deviation of the sampling distribution of p-hat?
To calculate the standard deviation of the sampling distribution of p-hat, the answer will be 59 students.
By calculating,
600/10=60 and 59 students which is less than 10% of the population.
A sampling distribution, also known as a finite-sample distribution, in statistics is the probability distribution of a given random-sample-based statistic. The sampling distribution is the probability distribution of the values that the statistic takes on if an arbitrarily large number of samples, each involving multiple observations (data points), were used separately to compute one value of a statistic (such as, for example, the sample mean or sample variance) for each sample. Although only one sample is frequently observed, the theoretical sampling distribution can be determined.
Because they offer a significant simplification before drawing conclusions using statistics, sampling distributions are crucial in the field. They enable analytical decisions to be made based on the probability distribution of a statistic rather than the combined probability distribution of all the individual sample values
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Kiran is flying a kite. He gets tired, so he stakes the kite into the ground. The kite is on a string that is 39 feet long and makes a 40 degree angle with the ground. How high is the kite?
Answer:
100
Step-by-step explanation:
What is the solution to the system of equations that Darren graphed?
Answer:
Below
Step-by-step explanation:
The solution set is just the point where the two graphed lines cross....this point is common to BOTH lines and thus is the solution (2,2)
The area of a rectangle is (4x²-49) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show you work.
The dimensions of the rectangle by factoring the area are
Length = ( 2x + 7 )
breadth = ( 2x - 7 )
Area of Rectangle:The number of unit squares that can fit inside a rectangle called its area. The area of a flat surface of a specific form is the space that it occupies.
Area of Rectangle = (Length × Breadth)
The area of a rectangle given is (4x²-49) square units.
We know the formula ,
Area of rectangle = Length × breadth
(4x²-49) = Length × breadth
Length × breadth = (2x)² - (7)²
Length × breadth = ( 2x + 7 ) ( 2x - 7 )
Therefore, the dimensions of the rectangle by factoring the area are
Length = ( 2x + 7 )
breadth = ( 2x - 7 )
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the nth term of a quadratic sequence can be written as an^2 + bn +c. Here are its first 4 terms. 3, 14, 29, 48. find the values of a, b and c.
The values of a , b and c in the given quadratic sequence are
a = 2, b = 5, c = -4
Quadratic Sequence:The ordered collections of numbers known as quadratic sequences are based on the rule n2 = 1, 4, 9, 16, 25. (the square numbers). Every quadratic sequence has a n2 term.
Now in the given question ,
For nth term we have,
an² + bn + c
n = 1:
a + b + c = 3 Eq. 1
n = 2:
4a + 2b + c = 14 Eq. 2
n = 3:
9a + 3b + c = 29 Eq. 3
Eq. 2 minus Eq. 1
3a + b = 11 Eq. 4
Eq. 3 minus Eq. 2
5a + b = 15 Eq. 5
Eq. 5 minus Eq. 4
2a = 4
a = 2
Plug in a = 2 into Eq. 4
3(2) + b = 11
b = 5
Plug in a = 2 and b = 5 into Eq. 1.
2+5 + c = 3
c = -4
The required values are , a = 2, b = 5, c = -4.
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which of the following best explains the value of sine startfraction pi over 3 endfraction on the unit circle below? a unit circle is shown. a radius with length 1 has an angle measure of startfraction pi over 3 endfraction sine startfraction pi over 3 endfraction
The length opposite the angle is the vertical distance from the x-axis on the graph. Because sin (π/3) = opposite/hypotenuse = opposite/1;
What is unit circle?Unit circle is a circle centered at the origin, (0,0) with radius(r) i.,e r= 1.
Here, The angle π/3 forms an arc of length S and the x-axis and y-axis divide the coordinate plane and the unit circle as it is centered at (0.0).
Also, the terminal side intersect the circle at (x, y). Thus;
sin (π/3) = opposite/hypotenuse = opposite/1
Thus, we get;
sin (π/3) = opposite
Also, the length opposite the angle is the vertical distance from the x-axis on the graph.
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Answer: A on edge
Step-by-step explanation:
39.5 Degrees Celsius to Fahrenheit
To convert temperatures in degrees Celsius to Fahrenheit, multiply by 1.8 (or 9/5) and add 32.
39.5 degrees Celsius is equal to 103.1 degrees Fahrenheit.
Temperatures, across the worlequal td, are measured either in Fahrenheit(the US temperature scale) or Celsius(the metric scale), two of the most popular and widely used scales.Temperature Conversion – Degrees Celsius into Degrees Fahrenheit.
Celsius to Fahrenheit conversion formula is all about converting the temperature denoting in Celsius to Fahrenheit. As mentioned earlier, the temperature of boiling (hot) water in Celsius is 0 degrees and in Fahrenheit is 21 degrees, the formula to convert C to F is
F = C x (9/5) + 32To convert 39.5 degrees Celsius to Fahrenheit, you can use the formula:
°F = (°C × 9/5) + 32
Substituting 39.5 for °C, we get:
°F = (39.5 × 9/5) + 32
°F = (71.1) + 32
°F = 103.1
Therefore, 39.5 degrees Celsius is equal to 103.1 degrees Fahrenheit.
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you are showing a child paper cut-outs of various quadrilaterals. if a child tells you that square has 4 sides and 4 angles, the child is most likely operating at what van hiele's level?
The child is most likely operating at visualization level of van hiele's. The solution has been obtained by using the Van Hiele model.
What is Van Hiele model?
The van Hiele theory explains how children pick up geometry. It makes the claim that there are five different degrees of geometric thinking: visualisation, analysis, abstraction, formal deduction, and rigour. Every level has a unique lingo and set of symbols. The levels are progressed through "step by step" by the students.
We are given that a child tells that square has 4 sides and 4 angles by seeing the quadrilateral.
From this, we get that the child is operating at the visualization level of van hiele's because by looking at a figure he tells the number of sides and angles.
Hence, the child is most likely operating at visualization level of van hiele's.
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Given that a graph of a parabola opens up and the minimum point is located at (-3, 6), determine the range of the function.
The range of the parabola will be y ≥ 6.
What is Parabola ?In mathematics, a parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped. The general equation of a parabola is : y² = 4axGiven is that a graph of a parabola opens up and the minimum point is located at (-3, 6).
The minimum point of a parabola is called its vertex. So, we can write the vertex as V(-3, 6). The range is the set of all values that exist for a given value of {x}. This means, it is the set of {y} - values for the function. The parabola opens upwards. So, we can write the range as → Range → [6, ∞).Therefore, the range of the parabola will be y ≥ 6.
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find the rate of change of a circle diameter with respect to radius.
The rate of change of the circle diameter with respect to the radius is a constant value of 2.
The diameter of a circle is twice the radius, so we can write:
Diameter = 2 * Radius
To find the rate of change of the diameter with respect to the radius, we can take the derivative of both sides of this equation with respect to the radius:
diameter/d(radius) = d(2 * radius)/d(radius)
The derivative of 2*radius with respect to radius is simply 2, so we can simplify the equation:
diameter/d(radius) = 2
Therefore, the rate of change of the circle diameter with respect to the radius is a constant value of 2. This means that if we increase the radius by a small amount, the diameter will increase by twice that amount. Conversely, if we decrease the radius by a small amount, the diameter will decrease by twice that amount.
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Caleb took 18 photos at the zoo. One sixth of his photos are of giraffes. How many of Caleb's photos are of giraffes?
The amount of photos that are giraffes is 3
1.) Caleb has 18 photos from going to the zoo.
2.) One sixth of them are giraffe pictures.
So basically, what you want to do is divide 18 by 6 = 3
The answer is : There are 3 giraffe photos out of the total 18 photos.
A file that is 228 megabytes is being downloaded. If the download is 15.4% complete, how many megabytes have been downloaded?
Answer:
35.112
Step-by-step explanation:
15.4% = 0.154. 228*0.154=35.112.
Ten cards are randomly chosen from a deck of 52 cards. Each of the selected cards is put in one of 4 piles, depending on the suit of the card. What is the probability that the largest pile has 4 cards, the next largest has 3, the next largest has 2, and the smallest has 1?
The probability that the largest pile has 4 cards, the next largest has 3, the next largest has 2, and the smallest has 1 is approximately 0.012 or 1.2%.
To solve this problem, we need to count the number of ways to choose 10 cards from a deck of 52 cards and then divide by the total number of ways to put these cards into 4 piles.
Step 1: Count the total number of ways to choose 10 cards from a deck of 52 cards using the combination formula:
C(52, 10) = 52! / (10! × 42!) = 158,200,242,880 / (3,628,800 × 99,884,160) = 1,787,671
Step 2: Count the total number of ways to put 10 cards into 4 piles. We can think of each card as having 4 choices, one for each pile. Therefore, the total number of ways to put the cards into piles is:
[tex]4^{10}[/tex] = 1,048,576
Step 3: Count the number of ways to put 10 cards into 4 piles such that the largest pile has 4 cards, the next largest has 3, the next largest has 2, and the smallest has 1.
First, we need to choose 4 cards from the 10 cards to go into the largest pile. This can be done in C(10,4) ways:
C(10,4) = 10! / (4! × 6!) = 210
Then, we need to choose 3 cards from the remaining 6 cards to go into the next largest pile. This can be done in C(6,3) ways:
C(6,3) = 6! / (3! × 3!) = 20
Next, we need to choose 2 cards from the remaining 3 cards to go into the next largest pile. This can be done in C(3,2) ways:
C(3,2) = 3! / (2! × 1!) = 3
Finally, the remaining card goes into the smallest pile. Therefore, there is only one way to put the card into the smallest pile.
Therefore, the total number of ways to put 10 cards into 4 piles such that the largest pile has 4 cards, the next largest has 3, the next largest has 2, and the smallest has 1 is:
C(10,4) × C(6,3) × C(3,2) × 1 = 210 × 20 × 3 × 1 = 12,600
Step 4: Calculate the likelihood by dividing the number of ways in Step 3 by the number of ways in Step 2:
P = 12,600 / 1,048,576 = 0.012 or 1.2%.
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An estimate of 24.5% of the water used each day is for cooking. If a family uses 68.6 gallons of water a day for cooking , how many gallons do they use every day?
They use 280 gallons a day.
24.5 times 2.8 is 68.6
24.5% of 100 is 24.5
100 times 2.8 is 280
Upload the worksheet with your constructions below.
Answer:
hey! you can use it!!
Step-by-step explanation:
thanks
How to convert 8 into cm
The value of length 8inch into cm is 20.32 cm.
8inch can be converted into centimeters (cm) using the conversion factor of 1 inch equals 2.54 centimeters. it's essential to use the appropriate conversion factor and ensure that the units cancel out correctly to arrive at the desired result.
Since 8 is a unit of inches, we can simply multiply 8 by the conversion factor of 2.54 cm/inch to get the equivalent measurement in centimeters.
So, the conversion can be done as follows:
8 inches x 2.54 cm/inch = 20.32 cm
Therefore, 8 inches is equal to 20.32 centimeters.
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_____The given question is incomplete, the complete question is given below:
How to convert 8 inches into cm.
Which expressions are equivalent to the one below? Check all that apply.
54.5*
A. 625.5x
B. 54-x
C. 254x
D. (5.x)4
OE. 54x
OF. 54+x
The equivalent exponential expressions are 625 · 5ˣ and [tex]a^{4 + x}[/tex].
What are Exponents:Exponents are a short way of representing repeated multiplication. The exponent, or power, indicates the number of times the base is multiplied by itself.
An exponent is a small number written to the right and above the base number, indicating how many times the base number should be multiplied by itself.
By the rule of exponents,
aᵇ× aˣ = aᵇ⁺ˣHere we have
Exponents 5⁴· 5ˣ
We can rewrite the above expression as follows
Since 5⁴ = 625
=> 5⁴· 5ˣ = 625 · 5ˣ
By using the Rules of exponents,
=> 5⁴ + 5ˣ = [tex]a^{4 + x}[/tex]
Therefore,
The equivalent exponential expressions are 625 · 5ˣ and [tex]a^{4 + x}[/tex].
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what is 161cm in feet?
On converting the length 161cm to feet , we get that 161 cm is equivalent to 5.29 feet .
There are different units that are used to measure the length or distance ;
such as feet , centimeter , meter , kilometer .
We have to convert the length : 161 centimeter to feet ;
we know that ; 1 centimeter is approximately equal to 0.0328 feet ;
So , we multiply 161 centimeter with 0.0328 ,
On multiplication ,
we get ;
⇒ 161 centimeter = 161 × 0.0328 ;
⇒ 161 centimeter = 5.2822 feet .
Therefore , 161 cm is approximately equal to 5.29 feet .
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Answer the questions below.
(a) From the 12 albums released by a musician, the recording company wishes to release 9 in a boxed set. How many different boxed sets are possible?
(b) There are 14 European cities that Rashid would eventually like to visit. On his next vacation, though, he only has time to visit 3 of the cities: one on Monday, one on Tuesday, and one on Wednesday. He is now trying to make a schedule of which city he'll visit on which day. How many different schedules are possible? (Assume that he will not visit a city more than once.)
(a) There are 220 different boxed sets possible.
(b) here are 2184 different schedules possible for Rashid's vacation.
(a)
To calculate the number of different boxed sets possible, use the combination formula. In this case, choose 9 albums out of 12, and the order of the albums in the boxed set doesn't matter.
The number of combinations of n items taken r at a time is given by the formula:
C(n, r) = n! / (r! × (n - r)!)
In this case, to find C(12, 9):
C(12, 9) = 12! / (9! × (12 - 9)!)
C(12, 9) = 12! / (9! × 3!)
C(12, 9) = (12 × 11 × 10) / (3 × 2 × 1)
C(12, 9) = 220
(b)
To calculate the number of different schedules Rashid can make for his vacation, count the number of ways chosen 3 cities out of 14 for each day of the week.
For Monday, choose one city out of 14.
For Tuesday, choose one city out of the remaining 13 .
For Wednesday, choose one city out of the remaining 12 .
Total number of schedules = 14 × 13 × 12 = 2184
So, there are 220 different boxed sets possible and there are 2184 different schedules possible for Rashid's vacation.
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Hugh poured 100 kilograms of water into 10 kg of salt.He made ...... kilograms of ......% salt solution.
NEED HELP ASAP!!!!! PLEASEEE!
Hugh made 110 kilograms of 9.1% salt solution.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, Hugh poured 100 kilograms of water into 10 kg of salt.
So, the total mass is the sum of the mass of water and the mass of salt.
Thus, 100+10=110 kg.
The ratio between the mass of the salt (10 kg) and the combined mass of the mixture is the concentration.
Now, C=10/110 ×100
= 100/11
= 9.1%
Therefore, Hugh made 110 kilograms of 9.1% salt solution.
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Find the surface area of the bases
Answer: 50.27
Step-by-step explanation:
AB=πr2=π·42≈50.26548
If the sun is 59 degrees above the horizon, find the length of the shadow cast by a building 52 feet tall, round your answer to the nearest tenth
Answer:44.5
Step-by-step explanation:
To solve this problem, we can use the tangent function, which relates the angle of elevation to the length of the opposite side (the shadow) and the adjacent side (the height of the building).Let x be the length of the shadow.
Then, we have:tan(59°) = 52/xTo solve for x, we can cross-multiply and simplify:x = 52 / tan(59°)
x ≈ 44.5 feet (rounded to the nearest tenth)Therefore, the length of the shadow cast by the building is approximately 44.5 feet.
What is factors of 58 ?
the answer would be
1, 2, 29, 58
Maria was paid $1854 for laying the Corbett's lawn. If she charged $135 plus 9.55 per square metre of lawn laid, find the area of the lawn.
Let's represent the area of the lawn with "x" (in square meters).
Maria charged $135 plus $9.55 per square meter, so her total earnings can be expressed as:
Total earnings = $135 + $9.55 x
We know that Maria was paid $1854, so we can set up an equation and solve for x:
$1854 = $135 + $9.55 x
Subtracting $135 from both sides:
$1719 = $9.55 x
Dividing both sides by $9.55:
x = 180
Therefore, the area of the lawn is 180 square meters.
Assume that we have two events, A and B, that are mutually exclusive. Assume further that we know P(A) = 0.30 and P(B) =0.40.
What is P(AAssume that we have two
events, A and&nbB)?
What is P(A | B)?
Is P(A | B) equal to P(A)?
Are events A and B dependent or independent?
P(Assume that we have two events, A&B) is mutually exclusive, P(A | B) is not equal to P(A), and the events A and B independent
Probabilities are used to measure the likelihood of an event occurring.
When we have two events, A and B, that are mutually exclusive, it means that the occurrence of one event precludes the other from occurring. In this case, P(A) and P(B) measure the individual probabilities of events A and B occurring.
P(A) = 0.30 and P(B) = 0.40. Therefore, P(A | B) is the probability of event A occurring given that event B has already occurred, which is equal to 0 since event A cannot occur if event B has already happened.
P(A | B) is not equal to P(A), since P(A) measures the probability of event A occurring without considering any other events.
Since events A and B are mutually exclusive and the occurrence of one event precludes the other from occurring, they are considered independent events.
Therefore, the probability of one event occurring does not affect the probability of the other event occurring, which means they are independent events
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how to convert ml to dl
The method to convert mililitres to deciliter is by multiplying the quantity in mililitres with 0.01.
Firstly know the full form of units being used in the question. Here ml represents mililitres and dl represents deciliter. Now, we know that mililitres and deciliter are connected to each by the formula -
1 deciliter = 100 mililitres
So, 1 millilitre in deciliter will be = 1/100 deciliter
It can be written in decimal form as -
Quantity in deciliter = 0.01 deciliter
Let us say we have 1000 mililitres of milk which needs to be converted into deciliter.
So, Quantity in deciliter = 1000 × 0.01
Performing multiplication on Right Hand Side of the equation
Quantity of 1000 mililitres in deciliter = 10 deciliter.
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Shape A can be transformed to shape B by a rotation 90° clockwise about (-1 1) followed by a translation by vector (a b) find the value of a and b PLEASE HELP
The translation vector is
a = 6
b = -2
How to find the translationThe transformation rule for 90 degrees clockwise rotation is
(x, y) → (y, -x)
Using reference side (-3, -3). 90 degrees clockwise rotation will result to
(-3, -3) → (-3, 3)
The location (-3, 3) is compared with (3, 1) we have that
-3 + x = 3, x = 3 + 3 = 6
3 + y = 1, y = 1 - 3 = -2
hence the vector is (6, -2), a = 6 and b = -2
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Which two of the following ordered pairs have a ratio of -4/3?
(-3, 4), (-4, 3), ( 4,-3), (3, -4)
So the two ordered pairs that have a ratio of -4/3 are (-4, 3) and (4, -3).
where x and y are the first and second numbers in the ordered pair, respectively.
Checking each of the four given ordered pairs, we can see which ones satisfy this equation:
(-3, 4): -3/4 ≠ -4/3
(-4, 3): -4/3 = -4/3
(4, -3): 4/-3 = -4/3
(3, -4): 3/-4 ≠ -4/3
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