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3 years ago

7

Emily, Andrew, and Isaiah had a challenge to see who could bike the farthest in one day. Emily biked 13 miles, Andrew biked 4 ti

mes as many miles as Isaiah and Isaiah biked 4 times as many miles as Emily. How many miles did Andrew bike?

1 answer:

mario62 [17]3 years ago

6 0

Answer:

Andrew biked 208 miles.

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⦁ In a simple random sample of 1219 US adults, 354 said that their favorite sport to watch is football. Construct a 95% confiden

fomenos

Answer:

95% confidence interval for the proportion of adults in the United States whose favorite sport to watch is football is [0.265 , 0.316].

Step-by-step explanation:

We are given that in a simple random sample of 1219 US adults, 354 said that their favorite sport to watch is football.

Firstly, the pivotal quantity for 95% confidence interval for the proportion of adults in the United States whose favorite sport to watch is football is given by;

P.Q. = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = proportion of adults in the United States whose favorite sport to watch is football in a sample of 1219 adults = $\frac{354}{1219}$

n = sample of US adults = 1291

p = population proportion of adults

<em>Here for constructing 95% confidence interval we have used One-sample z proportion statistics.</em>

So, 95% confidence interval for the population proportion, p is ;

P(-1.96 < N(0,1) < 1.96) = 0.95 {As the critical value of z at 2.5%

significance level are -1.96 & 1.96}

P(-1.96 < $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < 1.96) = 0.95

P( $-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} }$ < ${\hat p-p}$ < $1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} }$ ) = 0.95

P( $\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} }$ < p < $\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} }$ ) = 0.95

<u>95% confidence interval for p</u> = [ $\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} }$ , $\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} }$ ]

= [ $\frac{354}{1219}-1.96 \times {\sqrt{\frac{\frac{354}{1219}(1-\frac{354}{1219})}{1219} }$ , $\frac{354}{1219}+1.96 \times {\sqrt{\frac{\frac{354}{1219}(1-\frac{354}{1219})}{1219} }$ ]

= [0.265 , 0.316]

Therefore, 95% confidence interval for the proportion of adults in the United States whose favorite sport to watch is football is [0.265 , 0.316].

5 0

3 years ago

The function y=−0.25x+0.55 represents the percent y (in decimal form) of battery power remaining x hours after you turn on a lap

AURORKA [14]

Answer: a is 2.2, b is 0.55
Explanation:
To find the x intercept, put 0 instead of y,
hence,
0=-0.25x+0.55
-0.25x=-0.55
x=2.2
To find y intercept put 0 instead of x,
so,
y=-0.25*0+0.55
y=0+0.55
y=0.55

3 0

3 years ago

Help gai I need help its a math

dem82 [27]

Answer:

B

Step-by-step explanation:

Rewriting in slope-intercept form.

x - 2y = 0

Add -x on both sides.

- 2y = 0 - x

Divide both sides by -2.

y = 0/-2 - x/-2

y = 0 - - 1/2x

y = 0 + 1/2x

y = 1/2x + 0

The slope is 1/2, the y-intercept is at (0, 0).

6 0

2 years ago

Income Taxes: Mastery Test

Margarita [4]

Answer:

1. tax deductions 2. the one that isn't amount of tax owed

Step-by-step explanation:

got the first part right and reviewed it on plato to see that The amount of tax owed is not the right answer.

4 0

2 years ago

A fish tank contains 24 L of water. Water is added to increase the volume by 12.5%. What is the new volume of water in the tank?

Ronch [10]

Answer:

27 L

Step-by-step explanation:

To find 12.5% of 24, move the decimal all the way to the left and multiply 24 by 0.125. You get 3, which is how much was added to the original volume.

24 + 3 = 27, which is the new volume.

6 0

2 years ago