Can anyone tell me the area? I will give brainlist if I'm able to

Shelia deposited $800 into an account that earned 3% simple interest. She did not make any other deposits or withdrawals. After

erastovalidia [21]

Answer:

Sheila earned $120 in interest.

Step-by-step explanation:

In order to calculate the interest earned by Sheila we can use the simple interest formula shown bellow:

i = P*r*t

Where i is the interested earned, P is the amount invested, r is the interest rate and t is the total time. For this case we have:

i = 800*0.03*5

i = 24*5

i = 120

Sheila earned $120 in interest.

8 0

2 years ago

Read 2 more answers

Use elimination to solve each system if equation 3x+2y=0and x-5y=17

kotykmax [81]

Answer:

$y = -3$

$x=2$

Step-by-step explanation:

$3x + 2y = 0$

$x - 5y=17$

to use the elimination you have to make one of the numbers same

so

$3(x-5y=17)$

and you would have to change the sign so that both of the 3x could cancel out.

New system of equation

$3x + 2y = 0$

$-3x+15y=-51$

$17y=-51$

$y = -3$

so we know the y value so now you could find the x value take one equation

$x - 5y=17$

$x +15=17$

$x = 2$

you could try it with both of the equations

$3x + 2y = 0$

$3x + - 6=0$

$3x-6=0$

$3x=6$

$x=6/3$

$x=2$

6 0

3 years ago

A sample of 200 observations from the first population indicated that x1 is 170. A sample of 150 observations from the second po

igor_vitrenko [27]

Answer:

a) For this case the value of the significanceis $\alpha=0.05$ and $\alpha/2 =0.025$ , we need a value on the normal standard distribution thataccumulates 0.025 of the area on each tail and we got:

$z_{\alpha/2} =1.96$

If the calculated statistic $|z_{calc}| >1.96$ we can reject the null hypothesis at 5% of significance

b) Where $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{170+110}{200+150}=0.8$

c) $z=\frac{0.85-0.733}{\sqrt{0.8(1-0.8)(\frac{1}{200}+\frac{1}{150})}}=2.708$

d) Since the calculated value satisfy this condition 2.708>1.96 we have enough evidence at 5% of significance that we have a significant difference between the two proportions analyzed.

Step-by-step explanation:

Data given and notation

$X_{1}=170$ represent the number of people with the characteristic 1

$X_{2}=110$ represent the number of people with the characteristic 2

$n_{1}=200$ sample 1 selected

$n_{2}=150$ sample 2 selected

$p_{1}=\frac{170}{200}=0.85$ represent the proportion estimated for the sample 1

$p_{2}=\frac{110}{150}=0.733$ represent the proportion estimated for the sample 2

$\hat p$ represent the pooled estimate of p

z would represent the statistic (variable of interest)

$p_v$ represent the value for the test (variable of interest)

$\alpha=0.05$ significance level given

Concepts and formulas to use

We need to conduct a hypothesis in order to check if is there is a difference between the two proportions, the system of hypothesis would be:

Null hypothesis: $p_{1} = p_{2}$

Alternative hypothesis: $p_{1} \neq p_{2}$

We need to apply a z test to compare proportions, and the statistic is given by:

$z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}$ (1)

a.State the decision rule.

For this case the value of the significanceis $\alpha=0.05$ and $\alpha/2 =0.025$ , we need a value on the normal standard distribution thataccumulates 0.025 of the area on each tail and we got:

$z_{\alpha/2} =1.96$

If the calculated statistic $|z_{calc}| >1.96$ we can reject the null hypothesis at 5% of significance

b. Compute the pooled proportion.

Where $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{170+110}{200+150}=0.8$

c. Compute the value of the test statistic.

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

Replacing in formula (1) the values obtained we got this:

$z=\frac{0.85-0.733}{\sqrt{0.8(1-0.8)(\frac{1}{200}+\frac{1}{150})}}=2.708$

d. What is your decision regarding the null hypothesis?

Since the calculated value satisfy this condition 2.708>1.96 we have enough evidence at 5% of significance that we have a significant difference between the two proportions analyzed.

5 0

3 years ago

Create a circle with a centre of (0,0) and a radius of 13

Mumz [18]

Answer:

The equation would be:

$x^2+y^2=169$