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melomori [17]
3 years ago
5

The formula for the lateral surface area of a cylinder is S=2πrh , where r is the radius of the bases and h is the height. Solve

for r. r=2hπ/S r=S/2πh r=2Sπh r=h/2πS
Mathematics
1 answer:
kotykmax [81]3 years ago
8 0

Answer:

Option B is correct.

r = \frac{S}{2\pi h}

Step-by-step explanation:

It is given that :

The formula for the lateral surface area of a cylinder is S = 2\pi rh

where

S represents the lateral surface area of cylinder,

r represents the radius of the bases and

h represents the height of the cylinder.

Solve for r;

Given: S = 2\pi rh

Divide both sides by 2 \pi h,

\frac{S}{2\pi h} =\frac{2\pi rh}{2\pi h}

Simplify:

r = \frac{S}{2\pi h}

Therefore, the radius of the bases of the cylinder is, r = \frac{S}{2\pi h}

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Prime factorization of 125
VladimirAG [237]
The prime factorization of 125 is 5 x 5 x 5. This is a unique list of the prime factors, along with their multiplicities. Note that the prime factorization of 125 does not include the number 1, yet it does include every instance of a certain prime factor. 125 is a composite number. Hope this helps you out! :)
3 0
3 years ago
Nanda Yueh and Lane Zuriff sell homes for ERA Realty. Over the past 6 months they sold 136 homes. Nanda sold 3 times as many hom
Marta_Voda [28]

Answer:

Lane sold 34 homes.

Nanda sold 102 homes.

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that:

Nanda sold x homes

Lane sold y homes

Over the past 6 months they sold 136 homes.

This means that x + y = 136

Nanda sold 3 times as many homes as Lane.

This means that x = 3y

Replacing in the first equation:

x + y = 136

3y + y = 136

4y = 136

y = \frac{136}{4} = 34

Lane sold 34 homes.

x = 3y = 34*3 = 102

Nanda sold 102 homes.

5 0
3 years ago
A study by Consumer Reports showed that 64% of supermarket shoppers believe supermarket brands to be as good as national name br
natima [27]

Answer:

Step-by-step explanation:

Given that:

A study is conducted and the study by Consumer Reports showed that 64% of supermarket shoppers believe supermarket brands to be as good as national name brands.

a)

Thus; we formulate the null and the alternative hypotheses as follows:

The proportion is ; \frac{64}{100} = 0.64

Null hypothesis:    {H_0}:p = 0.64  

The Null hypothesis states that there is no evidence that “the percentage of supermarket shoppers believes that the supermarket ketchup is good as the national brand ketchup differ form 64%”.

Alternative hypothesis: {H_a}:p \ne 0.64H

The Alternative hypothesis states that there is evidence that “the percentage of supermarket shoppers believes that the supermarket ketchup is good as the national brand ketchup differ form 64%”.

b)

The proportion of the population = 0.64

The sample size n = 100

The number of shoppers = 52  stating that the supermarket brand was as good as the national brand

The sample proportion \hat  p = \frac{52}{100}

\hat  p = 0.52

The z - value is calculated by the formula:

z = \dfrac{\hat p-p}{\frac{\sqrt{ p(1-p)}}{100 }}

z = \dfrac{0.52-0.64}{\frac{\sqrt{ 0.64(1-0.64)}}{100 }}

z = \dfrac{-0.12}{0.048 }}

z = -2.50

Since z = -2.50

the p-value = 2P(Z ≤ -2.50)

p-value = 2 × 0.0062

The p-value = 0.0124

c)

At  significance level,  ∝ = 0.05 ; The p-value = 0.0124

According to  the rejection rule, if p-value is less than 0.05 then we will reject null hypothesis at ∝ = 0.05

Hence, the p-value =0.0124 < ∝ (=0.05)

According to the reject rule; reject null hypothesis.

Conclusion: There is no evidence at all that the percentage of supermarket shoppers believes that the supermarket ketchup is good as the national brand ketchup differ form 64%.

d) we know that the significance level of ∝  = 0.05

The value{z__{0.05}}  is obtained as:

P\left( {\left| Z \right| \le z} \right) = 0.05

Now; to determine Z ; we locate the probability value of 0.05 form the table of standard normal distribution. Then we proceed to the left until the  first column is reached and  the value is 1.90. Also , we move upward until we reach the top and the value is 0.06. Now; the intersection of the row and column results the area  to the left of z

This implies that :P(Z \leq -1.96)=0.05

The critical value for left tail is -1.96 and the critical value for right tail is 1.96.

Conclusion:

The critical value is -1.96 and the value of test statistic is - 2.50.  Here, we can see that  the value of test statistic is lesser than the critical value. Hence, we can be concluded that there is evidence that reject the null hypothesis.

Therefore, Yes, the national brand ketchup manufacturer is pleased with the conclusion.

5 0
3 years ago
Clara opened a bank account. She deposited $95 each month for 10 months. Her bank charged her 2$ each month to use the account.
ollegr [7]
The answer is C.. because if you do 95x100 you get 950 and then you need to do 2x10 and you get 20, so then you subtract 20 from 950 and you will get $930
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2 years ago
What is the unit rate for 220$ to 13ft
Firlakuza [10]

Answer:

Total Rate= 220$ and length = 13 ft

13/220$

= 1/16.92$

Unit = 16.92$

6 0
3 years ago
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