I dont know how to graph these equations please help me!!,

Please help quickly !!

Salsk061 [2.6K]

Since these are right triangles, we can use Pythagorean Theorem.

Pythagorean Theorem: a^2 + b^2 = c^2

50^2 + 20^2 = c^2

2500 + 400 = c^2

2900 = c^2

c = sqrt[ 100 * 29]

c = 10 sqrt[29]

In the boxes, a = 10, b = 29.

Hope this helps!! :)

8 0

3 years ago

in a survey of 7000 women 4431 say they change their nail polish once a week.Construct a 95% confidence interval for the populat

andreyandreev [35.5K]

Answer:

The 95% confidence interval would be given (0.622;0.644).

We are confident (95%) that the true proportion of people that said that they change their nail polish once a week is between 0.622 and 0.644

Step-by-step explanation:

Data given and notation

n=7000 represent the random sample taken

X=4431 represent the people that said that they change their nail polish once a week

$\hat p=\frac{4431}{7000}=0.633$ estimated proportion of people that said that they change their nail polish once a week

$\alpha=0.05$ represent the significance level

Confidence =0.95 or 95%

p= population proportion of people that said that they change their nail polish once a week

Solution to the problem

The confidence interval would be given by this formula

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

For the 95% confidence interval the value of $\alpha=1-0.95=0.05$ and $\alpha/2=0.025$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=1.96$

And replacing into the confidence interval formula we got:

$0.633 - 1.96 \sqrt{\frac{0.633(1-0.633)}{7000}}=0.622$

$0.633 + 1.96 \sqrt{\frac{0.633(1-0.633)}{7000}}=0.644$

And the 95% confidence interval would be given (0.622;0.644).

We are confident (95%) that the true proportion of people that said that they change their nail polish once a week is between 0.622 and 0.644

7 0

3 years ago

image Alan, Benton, Claire, and Dita divided the cost of throwing a party as shown in the circle graph above. If Dita spent $ 12

sdas [7]

Let total amount spent =x

Dita spent 35 % of total amount.

35% of x = 0.35x

So amount spent by Dita = 0.35x

% of money spent by Benton = 20 % of x = 0.2x

We are given that Benton spent $12 more than Claire,

so making equation we have ,

Money spent by Dita = Money spent by Claire +12

$0.35x =0.2x +12$

$0.35x -0.2x = 12$

$0.5x =12$

x=80

So total amount spent was $80.

Money spent by Benton = 0.2x = 0.2 * 80= $16

So amount spent by Benton is $16.

5 0

4 years ago

Apply the distributive property to factor out the greatest common factor. 6+30

marissa [1.9K]

The greatest common factor between 6 and 30 would be 6, but I need to see the problem on the original piece of paper of a picture to understand the distributive property part of your question.

6 0

4 years ago

Read 2 more answers

Tryna pass these midterms help me please

V125BC [204]

Answer:

D

Step-by-step explanation:

7 pounds to 15 dollars is equal to 3 pounds to X dollars

5 0

3 years ago