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3 years ago

7

Nick and Nia are doing chores. Nia has a piggybank with over 100 dollars from chores saving .Nick have a piggybank with over 20

dollars of chore saving who do there chores more?
Hint it a percentage who did more chores.

1 answer:

SOVA2 [1]3 years ago

5 0

Answer:

Nia did the chores the more

Step-by-step explanation:

100 is more than 20

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A random sample of 864 births in a state included 426 boys. Construct a 95% confidence interval estimate of the proportion of bo

oksian1 [2.3K]

Using the z-distribution, it is found that the 95% confidence interval is (0.46, 0.526), and it does not provide strong evidence against that belief.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which:

$\pi$ is the sample proportion.

z is the critical value.

n is the sample size.

In this problem, we have a 95% confidence level, hence $\alpha = 0.95$ , z is the value of Z that has a p-value of $\frac{1+0.95}{2} = 0.975$ , so the critical value is z = 1.96.

We have that a random sample of 864 births in a state included 426 boys, hence the parameters are given by:

$n = 864, \pi = \frac{426}{864} = 0.493$

Then, the bounds of the interval are given by:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.493 - 1.96\sqrt{\frac{0.493(0.507)}{864}} = 0.46$

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.493 + 1.96\sqrt{\frac{0.493(0.507)}{864}} = 0.526$

The 95% confidence interval estimate of the proportion of boys in all births is (0.46, 0.526). Since the interval contains 0.506, it does not provide strong evidence against that belief.

More can be learned about the z-distribution at brainly.com/question/25890103

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2 years ago

Old faithful in Yellowstone National Park shoots water 60 feet into the air that casts a shadow of 42 feet. What is the height o

Serhud [2]

Answer:

The height of near by tree will be 90 feet.

Step-by-step explanation:

Considering the water triangle as shown in figure a.

As the old faithful shoots water 60 feet into the air that casts a shadow of 42 feet.

Considering the tree triangle as shown in figure a. The tree triangle has a shadow 63 feet long.

Let x be the height of near by tree that cost a shadow 63 feet long.

Assuming that the triangles are similar

So,

the ratios of similar triangles will be related as:

$\frac{63}{42}=\frac{x}{60}$

$\mathrm{Switch\:sides}$

$\frac{x}{60}=\frac{63}{42}$

${x}=60.\frac{63}{42}$

$x=90$ feet

Therefore, the height of near by tree will be 90 feet.

Keywords: ratio, similar triangle

Learn more about similar triangle from brainly.com/question/10161974

#learnwithBrainly

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3 years ago

In algerbra we use an blank to represent a varible

Juli2301 [7.4K]

Answer:

We use letters to represent a variable in expressions. I hope this helps!

Step-by-step explanation:

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3 years ago

What is anequation of the line that passes through the points (-3, 8) and (-7,8)?

zaharov [31]

The equation of a line is given by the expression:

y=Mx + b

This is the slope form of an equation where M is the gradient of line and b is the y intercept.

For the slope, M= change in y values/ change is x values

(-3,8) , (-7,8) thus the slope m,=(8-8)/(-7--3)

m=0/-4 =0

the slope is 0

To find the b substitute the values in the equation y=Mx+b

Taking point (-3,8) and slope of 0

y=Mx+b

8=0*(-3) + b

8=0+b

8=b

The value of b is 8

The equation of the line will be;

$y-8=0(x+3)$ $y-8=0$ $y=8$

The equation of the line is y=8

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1 year ago

Hi. What is the smallest number that can be written in 6 ways as the sum of the squares of 3 primes? Also, please list them as w

Fed [463]

2019 is the smallest number.

Here are the ways:

$7^2+11^2+43^2$

$7^2+17^2+41^2$

$13^2+13^2+41^2$

$11^2+23^2+37^2$

$17^2+19^2+37^2$

$23^2+23^2+31^2$

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4 years ago