Make a box and whisker plot of the data. 21, 21, 22, 20, 13, 13, 27, 24
1. is A
2. is B
3. is C
4. is D

Answers

Answer 1

Answer:

The required whisker plot of the data is given by A . Option A is correct.

What is a box plot?

A straightforward method of expressing statistical data on a plot in which a rectangle is drawn to represent the second and third quartiles, with a vertical line inside to indicate the median value. Horizontal lines on both sides of the rectangle show the lower and upper quartiles.

Here,

To create a box and whisker plot, we first need to find the minimum and maximum values, the median, and the first and third quartiles of the data set.

The minimum value is 13, and the maximum value is 27. To find the median, we first need to order the data set from smallest to largest:

13, 13, 20, 21, 21, 22, 24, 27

The median is the middle value, which in this case is the average of the two middle values: (21 + 21) / 2 = 21.

To find the first and third quartiles, we divide the data set into two halves at the median and find the median of each half. The first quartile (Q1) is the median of the lower half, and the third quartile (Q3) is the median of the upper half.

Lower half: 13, 13, 20, 21

Upper half: 21, 22, 24, 27

Q1 = (13 + 20) / 2 = 16.5

Q3 = (22 + 24) / 2 = 23

Thus, from the above calculation, the required whisker plot of the data is given by A . Option A is correct.

Learn more about box plots here:

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Answer 2

Answer: 4. is D because Median: 21
Minimum: 13
Maximum: 27
First quartile: 14.75
Third quartile: 23.50
Interquartile Range: 8.75

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Which strategies can be used to solve this problem? Kathleen invited 28 people to her party. She plans to seat 8 people at the dining room table. She will put the rest at round tables with 4 people at each table. What is the fewest number of round tables that Kathleen needs so that each guest will have a seat? Choose all answers that are correct. A. Draw a diagram. Eight people at 1 table, 4 people at round table, 4 people at round table, 4 people at round table, 4 people at round table, 4 people at round table. Count the number of round tables. B. Use logical reasoning. Start with 28 people, subtract 8 people who will sit at the dining room table, that leaves 20 people. Keep subtracting 4 people until you get to 0. Count how many times you subtracted 4 people. C. Translate into an equation. 28 – 8 + 4 + 4 = t D. Work backward. There are 28 people coming to the party. There is one dining table, so subtract 1. Now figure out how many round tables there are and subtract that number.
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How can I evaluate y=1

Explain how you know that 7/12 is greater than 1/3 but less than 2/3?

Answers

The easiest way to compare fractions is by having a common denominator for both fractions.

This is because, when the denominator is the same in both fractions, we will simply compare the numerators and the greater fraction will be the one having greater numerator

Part 1:

The first given fraction is $(7)/(12)$

The second given fraction is $(1)/(3)$

We can make the denominator in the second one equal to 12 by multiplying it by 4.

However, to preserve the value of the fraction, we will multiply it by $(4)/(4)$

This will give us:

$(1)/(3)$ * $(4)/(4)$ = $(4)/(12)$

Now, the two fractions became $(4)/(12)$ and $(7)/(12)$

The denominator is the same, so we will compare numerators.

Since 7 is greater than 4, therefore:

$(7)/(12)$ is the greater fraction

Part 2:

The first given fraction is $(7)/(12)$

The second given fraction is $(2)/(3)$

We can make the denominator in the second one equal to 12 by multiplying it by 4.

However, to preserve the value of the fraction, we will multiply it by $(4)/(4)$

This will give us:

$(2)/(3)$ * $(4)/(4)$ = $(8)/(12)$

Now, the two fractions became $(8)/(12)$ and $(7)/(12)$

The denominator is the same, so we will compare numerators.

Since 8 is greater than 7, therefore:

$(8)/(12)$ is the greater fraction

Hope this helps :)

7/12
1/3=4/12
2/3=8/12

7/12>1/3
7/12<2/3

Evaluate 3|-3|
if you could do it step by step I’d appreciate

Answers

Answer:

Step-by-step explanation:

the absolute value of -3 is 3

so; 3*|-3| =3*3 =9

Find the area: 6.8cm and 4.3cm

a 58.48cm²
b 22.2cm²
c 29.24cm²
d 14.62cm²

Answers

Area of a Triangle: 1/2 bh

Therefore: 1/2 6.8 (4.3)

Answer:3.4 x 4.3 = 14.62

If y(x)=1/3cos^34x,then dy/dx is

Answers

Answer:

$(dy)/(dx)=-4\cos^(2) 4x \sin4x$

Step-by-step explanation:

We have $y=f(x)=(1)/(3) \cos^(3) 4x$ and we have to find $(dy)/(dx)$

Now, $y=f(x)=(1)/(3) \cos^(3) 4x$

Differentiating both sides of the equation with respect to x we get,

$(dy)/(dx) = (1)/(3) * 3 * \cos^(2) 4x * (-\sin4x) * 4$ {Since we know the formula $(dx^(n) )/(dx) =nx^(n-1)$ and another formula $(d(\cos x))/(dx) = -\sin x$ }

⇒ $(dy)/(dx)=-4\cos^(2) 4x \sin4x$ ( Answer )

4. In the Old West, settlers made tents out of a piece of cloth thrown over a clothesline and then secured to the ground with stakes forming an isosceles triangle. How long would the cloth have to be so that the opening of the tent was 6 feet high and 8 feet wide?

Answers

14.6 feet long would the cloth have to be so that the opening of the tent was 6 feet high and 8 feet wide.

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

To find the length of the cloth needed to make the tent, we can use the Pythagorean theorem.

The triangle formed by the tent is isosceles, the hypotenuse is equal to one of the equal sides, and we can use the Pythagorean theorem to solve for "x".

The length of the hypotenuse is:

√(1/2× 8)² + 6² )

√16 + 36 )

√52= 2√13

Since the tent is isosceles, the length of each of the two equal sides of the triangle is also "x", so we have:

2x = 2√13

Solving for "x", we get:

x = √13

Therefore, the length of the cloth needed to make the tent is:

2x + 8

= 2√13 + 8

= 14.61 feet

So the cloth would have to be 14.61 feet long.

Hence, 14.6 feet long would the cloth have to be so that the opening of the tent was 6 feet high and 8 feet wide.

To learn more on trigonometry click:

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the cloth would have had to been 14.42 feet

Tonya took out a loan to help pay for her house. She borrowed $40,000 for 15 years at a yearly simple interest rate of 5%. How much interest will she end up paying the bank? A. $300 B. $30,000 C. $6,000 D. $300,000

Answers

Answer is B. Need an explanation?

Make a box and whisker plot of the data. 21, 21, 22, 20, 13, 13, 27, 241. is A2. is B3. is C4. is D

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What is a box plot?

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Make a box and whisker plot of the data. 21, 21, 22, 20, 13, 13, 27, 24
1. is A
2. is B
3. is C
4. is D