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2 years ago

Hi, I keep getting 41.7 but it isnt one of the choices :/ GIVING BRAINLIEST TO WHOEVER EXPLAINS FIRST

Mathematics

2 answers:

tangare [24]2 years ago

8 0

Answer: 31.7

Step-by-step explanation:

Do 16 plus 15.7 is 31.7 you added wrong.

Tcecarenko [31]2 years ago

4 0

Answer:

$31.7$

Step-by-step explanation:

The perimeter is the line forming the boundary of the figure.

Combining the two curved parts of the perimeter we obtain a circle with a diameter of 5 in. The perimeter (P) of a circle is calculated as follows:

$P=\pi D$

where D is the diameter. Then, the perimeter of the curved part is found replacing D = 5 in, as follows:

$P^{1} =\pi~ .~5\\$

$P^{1} = 15.7~ in$

To find the perimeter of the whole figure we need to add the two straight segments of length 8 in, that is,

$P=15.7+8+8\\P=31.7$

Hence the Answer is 31.7

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Two different types of polishing solutions are being evaluated for possible use in a tumble-polish operation for manufacturing i

Nina [5.8K]

Answer:

$z=\frac{0.843-0.653}{\sqrt{0.748(1-0.748)(\frac{1}{300}+\frac{1}{300})}}=5.358$

$p_v =2*P(Z>5.358) = 4.2x10^{-8}$

Comparing the p value with the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that we have singificantly differences between the two proportions.

Step-by-step explanation:

Data given and notation

$X_{1}=253$ represent the number with no defects in sample 1

$X_{2}=196$ represent the number with no defects in sample 1

$n_{1}=300$ sample 1

$n_{2}=300$ sample 2

$p_{1}=\frac{253}{300}=0.843$ represent the proportion of number with no defects in sample 1

$p_{2}=\frac{196}{300}=0.653$ represent the proportion of number with no defects in sample 2

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 in the the two proportions, the system of hypothesis would be:

Null hypothesis: $p_{1} - p_2}=0$

Alternative hypothesis: $p_{1} - p_{2} \neq 0$

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)

Where $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{253+196}{300+300}=0.748$

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.

Calculate the statistic

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

$z=\frac{0.843-0.653}{\sqrt{0.748(1-0.748)(\frac{1}{300}+\frac{1}{300})}}=5.358$

Statistical decision

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

$p_v =2*P(Z>5.358) = 4.2x10^{-8}$

5 0

3 years ago

Tara has 2000 in her savings account David has 1/10 as much as Tara in his account how much does David have in his savings accou

Paraphin [41]

200$ because if you do 2000dovided by 10 then it will equal=200 so loook 200x10=2000 so 1/10=200

7 0