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2 years ago

These box plots show daily low temperatures for a sample of days in two

Mathematics

1 answer:

dangina [55]2 years ago

5 0

The correct option regarding the data-sets represented by the box and whisker plots is:

B. The distribution for town A is positively skewed, but the distribution for town B is symmetric.

<h3>What does a box-and-whisker plot shows?</h3>

A box and whisker plot shows three things:

The 25th percentile, which is the median of the bottom 50%.

The median, which splits the entire data-set into two halfs, the bottom 50% and the upper 50%.

The 75th percentile, which is the median of the upper 50%.

For data-set A, we have that:

The 25th percentile is of 15.

The median is of 20.

The 75th percentile is of 30.

Since 30 - 20 > 20 - 15, the distribution is positively skewed.

For data-set B, we have that:

The 25th percentile is of 20.

The median is of 30.

The 75th percentile is of 40.

Since 40 - 30 = 30 - 20, the distribution is symmetric.

Hence the correct option is:

B. The distribution for town A is positively skewed, but the distribution for town B is symmetric.

More can be learned about box and whisker plots at brainly.com/question/27721471

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ivolga24 [154]

Answer: 87.5%
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3 years ago

What is the equation of a circle with center (-7,4) and radius 8?

enot [183]

The answer to this question is
B. (x+7)²+(y-4)²=64

I hope this helps!!!!!!!

7 0

3 years ago

Read 2 more answers

Can someone please help me answer this Math problem?

kap26 [50]

Answer:

2√2.

Step-by-step explanation:

We use the Pythagoras Theorem:

x^2 = 2^2 + 2^2

x^2 = 8

x = √8

= 2√2.

4 0

3 years ago

Each year, more than 2 million people in the United States become infected with bacteria that are resistant to antibiotics. In p

Bingel [31]

Answer:

Null hypothesis:H₀:- There is no significant difference between in drug resistance between the two states

Alternative Hypothesis :H₁:

There is significant difference between in drug resistance between the two states

B)

The calculated value Z = 2.7261 > 2.054 at 0.02 level of significance

Rejected H₀

There is a significant difference in drug resistance between the two states.

P - value = 0.0066

P - value = 0.0066 < 0.02

D)

1) Reject H₀

There is a significant difference in drug resistance between the two states.

Step-by-step explanation:

Step(i):-

Given first sample size n₁ = 174

Suppose that, of 174 cases tested in a certain state, 11 were found to be drug-resistant.

First sample proportion

$p_{1} = \frac{x_{1} }{n_{1} } = \frac{11}{174} = 0.0632$

Given second sample size n₂ = 375

Given data Suppose also that, of 375 cases tested in another state, 7 were found to be drug-resistant

Second sample proportion

$p_{2} = \frac{x_{2} }{n_{2} } = \frac{7}{375} = 0.0186$

Step(ii):-

Null hypothesis:H₀:- There is no significant difference between in drug resistance between the two states

Alternative Hypothesis :H₁:

There is significant difference between in drug resistance between the two states

Test statistic

$Z = \frac{p_{1}-p_{2} }{\sqrt{PQ(\frac{1}{n_{1} }+\frac{1}{n_{2} } ) } }$

Where

$P = \frac{n_{1}p_{1} +n_{2} p_{2} }{n_{1} +n_{2} }$

$P = \frac{174 (0.0632) + 375 (0.0186) }{174+375 } = \frac{17.9718}{549} = 0.0327$

Q = 1 - P = 1 - 0.0327 = 0.9673

Step(iii):-

Test statistic

$Z = \frac{p_{1}-p_{2} }{\sqrt{PQ(\frac{1}{n_{1} }+\frac{1}{n_{2} } ) } }$

$Z = \frac{0.0632-0.0186 }{\sqrt{0.0327 X 0.9673(\frac{1}{174 }+\frac{1}{375 } ) } }$

Z = 2.7261

Level of significance = 0.02 or 0.98

The z-value = 2.054

The calculated value Z = 2.7261 > 2.054 at 0.02 level of significance

Reject H₀

There is a significant difference in drug resistance between the two states.

P- value

P( Z > 2.7261) = 1 - P( Z < 2.726)

= 1 - ( 0.5 + A (2.72))

= 0.5 - 0.4967

= 0.0033

we will use two tailed test

2 P( Z > 2.7261) = 2 × 0.0033

= 0.0066

P - value = 0.0066 < 0.02

Reject H₀

There is a significant difference in drug resistance between the two states.

8 0

3 years ago

7 Raja is laying tiles on a path that forms

ser-zykov [4K]

Answer:

The perimeter of the garden is 400 feet.

Step-by-step explanation:

Consider the provided information,

Raja is laying tiles on a path that forms the diagonal of a square garden. If Raja is told that the length of the diagonal path is $100\sqrt{2}$

The length of the diagonal of a square garden is $100\sqrt{2}$

Let x represent the side of square.

By Pythagorean theorem we know: $a^2+b^2=c^2$

Where c is hypotenuse.

The diagonal of the square divides the square into two right angle triangle.

Where, the sides of the square are the legs of the triangle and diagonal is the hypotenuse of the triangle.

$x^2+x^2=(100\sqrt{2})^2$

$2x^2=(100\sqrt{2})^2$

$x=100$

Hence, the side of the square is 100 ft.

The perimeter of the square is $4s$ where s is the side of square.

$4(100)=400$

Hence, the perimeter of the garden is 400 feet.

5 0

3 years ago