An automobile engineer is redesigning a conical chamber that was originally specified to be 12 inches long with a circular base of diameter 5.7 inches. In the new design, the chamber is scaled by a factor of 1.5.

Answers

Answer 1

Answer:

Answer:

The volume of the original chamber is 102.02cubic inches. This is 242.47 cubic inches less than the volume of the new chamber.

Hope this helps! I got it right on the Plato/Edmentum mastery test ♡

Answer 2

Answer: You can figure out the new cone or get the volume of the original cone and use the fact that if two objects are proportional in their dimensions, then the volume is proportional to the cube of the ratio of any of their lengths. E.G., doubling a sphere diameter increases the volume by 2 cubed = 8.

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If z=4.0 and y= 7.2 what is the value of x?

Answers

Nothing further can be done with this it needs to be explained better

Mr. Chong deposits RM5 000 into a fixed deposit account with 4% interest rate compounded every 3 months for a period of 3 years. Calculate the amount of interest accrued after the third year。 fast please tq

Answers

Answer:

The interest is 634.13.

Step-by-step explanation:

Amount deposit , P = 5000

Interest, R = 4 % so, R = 4/4 = 1 %

Time, T = 3 years quarterly

n = 3 x 4 = 12

Let the amount is A.

Use the formula of the compound interest

$A = P \left ( 1 + (R)/(100) \right )^n\n\nA = 5000 \left ( 1 + (1)/(100) \right )^(12)\n\nA = 5634.13$

So, the interest is

I = A - P = 5634.13 - 5000 = 634.13

What does best approximates of 35,000,000 x 9 mean?

Answers

Give the exact answer!

You spend $10 on office supplies out of the $25 budget what percent of your budget did you spend

Answers

Answer:

You spent 40% of your budget on office supplies.

Step-by-step explanation:

1. First take the total budget:

$25

2. Then take the money you spent on office supplies and divide it by the total budget to find the ratio you spent:

$Ratio=(10)/(25)$

$Ratio=0.4$

3. Finally multiply the ratio by a hundred to find the percentage of the budget you spent on office supplies:

$Percentage=0.4*100$

$Percentage=40$ %

Therefore, you spent 40% of your budget on office supplies.

The simplest way to find percent is to take the partial number, divide by the whole number, and multiply the answer by 100%.

$(10)/(25)$ = 0.4

0.4 x 100% = 40%.

Which of the following pairs of numbers contain like fractions? A. 31/2 and 43/4
B. 3/2 and 2/3
C. 6/7 and 15/7
D. 5/6 and 10/12

Answers

Hi

The same denominator: 6/7 and 15/7

Answer: c)

An epidemiologist is worried about the prevalence of the flu in East Vancouver and the potential shortage of vaccines for the area. She will need to provide a recommendation for how to allocate the vaccines appropriately across the city. She takes a simple random sample of 334 people living in East Vancouver and finds that 43 have recently had the flu. Suppose that the epidemiologist wants to re-estimate the population proportion and wishes for her 95% confidence interval to have a margin of error no larger than 0.03. How large a sample should she take to achieve this?

Answers

Answer:

The sample should be as large as 480

Step-by-step explanation:

Probability of having a flu, p = 43/334

p = 0.129

Margin Error, E = 0.03

Confidence Interval, CI= 95%

At a CI of 95%, $z_(crit) = 1.960$

The sample size can be given by the relation:

$n = p(1-p)(z/E)^(2)$

$n = 0.129(1-0.129)(1.960/0.03)^(2) \nn = 479.59\nn = 480$

Final answer:

To determine the sample size needed to estimate the population proportion with a desired margin of error, we can use the formula n = (z^2 * p * (1-p)) / (E^2), where n is the required sample size, z is the z-score corresponding to the desired level of confidence, p is the estimated proportion of the population with the characteristic, and E is the desired margin of error. Plugging in the given values, the epidemiologist should take a sample size of approximately 3245 in order to achieve her desired margin of error.

Explanation:

To determine the sample size needed to estimate the population proportion with a desired margin of error, we can use the formula:

n = (z^2 * p * (1-p)) / (E^2)

Where:

n is the required sample size
z is the z-score corresponding to the desired level of confidence (in this case, 95% confidence)
p is the estimated proportion of the population with the characteristic (in this case, the proportion of people with the flu in East Vancouver)
E is the desired margin of error (in this case, 0.03)

Plugging in the given values:

n = (z^2 * p * (1-p)) / (E^2) = (1.96^2 * 0.129 * 0.871) / (0.03^2) ≈ 3244.42

So, the epidemiologist should take a sample size of approximately 3245 in order to achieve her desired margin of error.

Learn more about Calculating Sample Size here:

brainly.com/question/34288377

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