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3 years ago

Help what is the answer to number 1 plz

Mathematics

1 answer:

Serga [27]3 years ago

8 0

The property shown there is the distributive property.
It states that a(b + c) = ab + ac
Or a(b - c) = ab - ac

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A study of 4,430 U.S. adults found that 2,913 were obese or overweight. The 95% confidence interval for the proportion of adults

IrinaK [193]

Answer:

$0.658 - 1.96\sqrt{\frac{0.658(1-0.658)}{4430}}=0.644$

$0.658 + 1.96\sqrt{\frac{0.658(1-0.658)}{4430}}=0.672$

We are 95% confident that the true proportion of adults overweight is between 0.644 and 0.672

Step-by-step explanation:

We can begin founding the estimated proportion of people overweight:

$\hat p =\frac{2913}{4430}= 0.658$

We need to find a critical value for the confidence level using the normal standard distribution. We know that 95% is the confidence level, then the significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The confidence interval for the true population proportion of interest is given by the following formula:

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

Replacing the data provided we got:

$0.658 - 1.96\sqrt{\frac{0.658(1-0.658)}{4430}}=0.644$

$0.658 + 1.96\sqrt{\frac{0.658(1-0.658)}{4430}}=0.672$

We are 95% confident that the true proportion of adults overweight is between 0.644 and 0.672

6 0

3 years ago

What is the circumference of a circle that has a radius of 10 centimeters? C=________

melisa1 [442]

C = 2πr
C = 2π(10)
C = 20π
C = 62.8

In short, Your Answer would be 62.8

Hope this helps!

5 0

3 years ago

A company makes 100 bags. 32 of the bags have buttons but no zips. 32 of the bags have zips but no buttons. 35 of the bags have

Dahasolnce [82]

Answer:

32%, 8/25

Step-by-step explanation:

Since we are looking under the category of buttons, only 1 of the 3 options fit the description. 32 have buttons but no zips. All the others are either just zip or neither of them.

This means out of 100, only 32 have buttons

32/100 or 32%

We can simply 32/100 to 8/25

4 0

3 years ago

Read 2 more answers

Factorise 12x² + x - 20

swat32

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▹ Answer

(3x + 4) * (4x - 5)

▹ Step-by-Step Explanation

12x² + x - 20

Rewrite

12x² + 16x - 15x - 20

Factor out

4x(3x + 4) - 15x - 20

4x(3x + 4) - 5(3x + 4)

Factor

(3x + 4) * (4x - 5)

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

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5 0

3 years ago

Help!!

bixtya [17]

Coin flip is 1/2
2 numbers are less than 3 so 2/6 = 1/3

1/2 * 1/3 = 1/6 probability total

240 x 1/6 = 40
answer is B) 40

5 0

3 years ago