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3 years ago

What is the area of the composite figure

Mathematics

1 answer:

zzz [600]3 years ago

7 0

I think the answer should be 10π+ 10m2, because there is 2 semi-circles and one rectangle , and the rule to find area of a rectangle is length x width and the area of a semi-circle is πr2/2, I hope that helps

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The null and alternative hypotheses for a population proportion, as well as the sample results, are given. Use StatKey or other

zloy xaker [14]

Answer:

$z=\frac{0.38 -0.5}{\sqrt{\frac{0.5(1-0.5)}{100}}}=-2.4$

$p_v =P(z$

And we can use the following excel code to find it:

"=NORM.DIST(-2.4,0,1,TRUE)"

Step-by-step explanation:

Data given and notation

n=100 represent the random sample taken

$\hat p=0.38$ estimated proportion of interesst

$p_o=0.5$ is the value that we want to test

$\alpha$ represent the significance level

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the proportion is lower than 0.5:

Null hypothesis: $p \geq 0.5$

Alternative hypothesis: $p < 0.5$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.38 -0.5}{\sqrt{\frac{0.5(1-0.5)}{100}}}=-2.4$

Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The next step would be calculate the p value for this test.

Since is a left tailed test the p value would be:

$p_v =P(z$

And we can use the following excel code to find it:

"=NORM.DIST(-2.4,0,1,TRUE)"

4 0

3 years ago

The weight of a value indicates its

jarptica [38.1K]

Answer:

mean

Step-by-step explanation:

5 0

3 years ago

Consider a uniform distribution from aequals4 to bequals29. (a) Find the probability that x lies between 7 and 27. (b) Find th

weeeeeb [17]

Answer:

a) 80% probability that x lies between 7 and 27.

b) 28% probability that x lies between 6 and 13.

c) 44% probability that x lies between 9 and 20.

d) 28% probability that x lies between 11 and 18.

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value x between c and d, in which d is larger than c, is given by the following formula.

$P(c \leq x \leq d) = \frac{d - c}{b - a}$

Uniform distribution from a = 4 to b = 29

(a) Find the probability that x lies between 7 and 27.

So $c = 7, d = 27$

$P(7 \leq x \leq 27) = \frac{27 - 7}{29 - 4} = 0.8$

80% probability that x lies between 7 and 27.

(b) Find the probability that x lies between 6 and 13. 

So $c = 6, d = 13$

$P(6 \leq x \leq 13) = \frac{13 - 6}{29 - 4} = 0.28$

28% probability that x lies between 6 and 13.

(c) Find the probability that x lies between 9 and 20.

So $c = 9, d = 20$

$P(9 \leq x \leq 20) = \frac{20 - 9}{29 - 4} = 0.44$

44% probability that x lies between 9 and 20.

(d) Find the probability that x lies between 11 and 18.

So $c = 11, d = 18$

$P(11 \leq x \leq 18) = \frac{18 - 11}{29 - 4} = 0.28$

28% probability that x lies between 11 and 18.

3 0

3 years ago

Paton knows she will make a selection from 36 total possible outcomes. Which statement might describe what Paton is doing? Check

Crank

Answer: All but statement 1

Step-by-step explanation:

In order to get 36 as an outcome, the numbers need to multiply together in order to get 36. In other words, a*b*c*d*....= desired outcome number. In statement 1, 3*9=27, and therefore not 36 outcomes. The rest do multiply to 36.

4 0

3 years ago

Read 2 more answers

You have 40 minutes to exercise at the gym, and you want to burn 300 calories total using both machines. How much time should yo

saveliy_v [14]

You should spend at least 20 minutes on both machines so that way you can burn 150 calories on each machine to get you 300

4 0

4 years ago