1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
pickupchik [31]
3 years ago
10

Find the Area of the figure below, composed of a rectangle and a semicircle. Round to the nearest tenths place.

Mathematics
1 answer:
Marta_Voda [28]3 years ago
6 0

Answer:

the answer is 140

Step-by-step explanation:

cause 14 multiply by 10 is 140

You might be interested in
Kelvin can carry a basket 5 feet rachel can carry it 3 feet further than kelvin daniel can carry it half as far s rachel is it r
Ksenya-84 [330]
I think it eould be 17 feet. 5 plus 8 plus 4 is 17.
6 0
3 years ago
In a random sample of 75 American women age 18 to 30, 26 agreed with the statement that a woman should have the right to a legal
ddd [48]

Answer:

a) z=\frac{0.347-0.328}{\sqrt{0.338(1-0.338)(\frac{1}{75}+\frac{1}{64})}}=0.236  

p_v =2*P(Z>0.236)=0.813  

If we compare the p value and using any significance level for example \alpha=0.01 always p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say that we don't have significant differences between the two proportions.  

b) We are confident at 99% that the difference between the two proportions is between -0.188 \leq p_B -p_A \leq 0.226

Step-by-step explanation:

Previous concepts and data given

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

p_A represent the real population proportion of women age 18 to 30  agreed with the statement that a woman should have the right to a legal abortion for any reason

\hat p_A =\frac{26}{75}=0.347 represent the estimated proportion of women age 18 to 30  agreed with the statement that a woman should have the right to a legal abortion for any reason

n_A=75 is the sample size for A

p_B represent the real population proportion for women age 58 to 70  agreed with the statement that a woman should have the right to a legal abortion for any reason

\hat p_B =\frac{21}{64}=0.328 represent the estimated proportion of women age 58 to 70  agreed with the statement that a woman should have the right to a legal abortion for any reason

n_B=64 is the sample size required for B

z represent the critical value for the margin of error and for the statisitc

The population proportion have the following distribution  

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Part a

We need to conduct a hypothesis in order to check if the proportion are equal, the system of hypothesis would be:  

Null hypothesis:p_{A} = p_{B}  

Alternative hypothesis:p_{A} \neq p_{B}  

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

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

Where \hat p=\frac{X_{A}+X_{B}}{n_{A}+n_{B}}=\frac{26+21}{75+64}=0.338

Calculate the statistic

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

z=\frac{0.347-0.328}{\sqrt{0.338(1-0.338)(\frac{1}{75}+\frac{1}{64})}}=0.236  

Statistical decision

Since is a two sided test the p value would be:  

p_v =2*P(Z>0.236)=0.813  

If we compare the p value and using any significance level for example \alpha=0.01 always p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say that we don't have significant differences between the two proportions.  

Part b  

The confidence interval for the difference of two proportions would be given by this formula  

(\hat p_A -\hat p_B) \pm z_{\alpha/2} \sqrt{\frac{\hat p_A(1-\hat p_A)}{n_A} +\frac{\hat p_B (1-\hat p_B)}{n_B}}  

For the 99% confidence interval the value of \alpha=1-0.99=0.01 and \alpha/2=0.005, with that value we can find the quantile required for the interval in the normal standard distribution.  

z_{\alpha/2}=2.58  

And replacing into the confidence interval formula we got:  

(0.347-0.328) - 2.58 \sqrt{\frac{0.347(1-0.347)}{75} +\frac{0.328(1-0.328)}{64}}=-0.188  

(0.347-0.328) + 2.58 \sqrt{\frac{0.347(1-0.347)}{75} +\frac{0.328(1-0.328)}{64}}=0.226  

And the 99% confidence interval for the difference of proportions would be given (-0.188;0.226).  

We are confident at 99% that the difference between the two proportions is between -0.188 \leq p_B -p_A \leq 0.226

5 0
3 years ago
Trent is paying child support for his two children. Which individual will run his credit report to determine how much child supp
myrzilka [38]
I think it may be A. D and C don't sound right.
8 0
3 years ago
Read 2 more answers
Who wants to play rocket league with me<br><br>I'm gold3 so sry​
maw [93]

Answer:

Bet

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
The number of potato chips in a bag is normally distributed with a mean of 75 and a standard deviation of 5. Approximately what
Oxana [17]

Approximately 95% of bags contain between 65 and 85 potato chips.

<u>Step-by-step explanation</u>:

step 1 :

Given,

The mean, M = 75

Standard deviation, SD = 5

step 2 :

From Normal distribution,

The left side of mean is 32% = M-SD, 16% = M-2SD and 2% = M-3SD

The right side of mean is 32% = M+SD, 16% = M+2SD and 2% = M+3SD

step 3 :

Calculate for left side: M-SD = 75-5 = 70 and M-2SD = 75-10 = 65

Calculate for right side: M+SD = 75+5 = 80 and M+2SD = 75+10 = 85

step 4 :

Calculate the percentage between 65 and 85:

(M-SD) + (M-2SD) + (M+SD) + (M+2SD) = 32% + 16% + 32% + 16%

                                                               = 96 % (which is approximately 95 %)

4 0
3 years ago
Other questions:
  • Erika bought 20 pieces of candy. Three-fourths of them were jelly beans, and the rest was gum. How many pieces of gum did she bu
    8·2 answers
  • Match the following pair of angles with their respective definitions.HELP
    10·2 answers
  • Write the equation of a line that is parallel to y= -5/4x + 7 and that passes through the point (-4,1)
    6·1 answer
  • Please may you do the whole page for 30 points thanks
    7·1 answer
  • A boat is carrying containers that weigh 4000 pounds each.
    9·1 answer
  • Can someone please help me
    10·1 answer
  • What is 7,599 divided 17.
    10·1 answer
  • Can anyone help me with this?<br>​
    10·2 answers
  • A line passes through the point (-9,-4) and has a slope of -2/3 . write an equation in slope intercept form for this line
    9·1 answer
  • Evaluate<br> 4(x+5)(2+1)<br> (2+3)(2-3)<br> for x = 5.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!