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Novosadov [1.4K]
3 years ago
10

A company is designing a new cylindrical water bottle. The volume of the bottle will be 147 cm ^ 3. The height of tbe water bott

le is 7.5 cm. What is the radius of the bottle? Use 3.14 for pi
Mathematics
1 answer:
rusak2 [61]3 years ago
8 0

Answer:

2.496cm

Step-by-step explanation:

Volume of the cylindrical water bottle. Can be calculated with the equation below

V=πr^2h

Where

h= height

r= radius

Then substitute the values into the equation we have

147= 3.14 × r^2 × 7.5

147= 23.565 r^2

Make r^2 subject of the formula

r^2= 147/ 23.565

r^2= 6.23

r= √6.23

r= 2.496cm

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Answer:

x^6-1

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then you simplify the expression by multiplying the exponents it should look like this: x^6-1^3

then you should raise any power equal 1 it should look like this: x^6-1 and thats your answer

6 0
3 years ago
Susan ate 1 5/6 cups of popcorn on Monday night. She at 2 3/4 of popcorn on Thursday night. How many cups of popcorn did Susan e
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3 years ago
Solve.<br>a - 6 &gt; 1<br>I need help quick!​
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3 years ago
Read 2 more answers
Zack watered his garden with 1 3/8
victus00 [196]

Answer:

<u>The correct answer is that Zack used 2 7/8 gallons to water his garden on the fifth week.</u>

Step-by-step explanation:

Let's find out the pattern Zack is using to water his garden, this way:

First week =  1 3/8  gallons of water

Second week = 1 3/4 gallons of water = 1 3/8 + 3/8 = 1 6/8 = 1 3/4

Third week = 2 1/8 gallons of water = 1 3/4 + 3/8 = 1 6/8 + 3/8 = 2 1/8

The constant of adding every week is 3/8 gallons, therefore,

Fourth week = 2 1/8 + 3/8 = 2 4/8 = 2 1/2 gallons of water

Fifth week = 2 1/2 + 3/8 = 2 4/8 + 3/8 = 2 7/8 gallons of water

<u>The correct answer is that Zack used 2 7/8 gallons to water his garden on the fifth week.</u>

3 0
3 years ago
When obtaining a confidence interval for a population mean in the case of a finite population of size N and a sample size n whic
Elanso [62]

Answer:

95% Confidence interval for the mean

142.8 \leq\mu\leq158.4

Step-by-step explanation:

We have to calculate a 95% confidence interval for the mean of a finite population.

The error is multiplied by the following finite population correction factor:

cf=\sqrt{\frac{N-n}{N-1} }

The standard deviation can be estimated as

\sigma=\frac{s}{\sqrt{n}} \sqrt{\frac{N-n}{N-1} } =\frac{24.4}{\sqrt{32} }* \sqrt{\frac{200-32}{200-1} }=3.963

The 95% confidence interval has a z value of 1.96, so it becomes:

M-z*\sigma_c\leq\mu\leq M+z*\sigma_c\\\\150.6-1.96*3.963\leq\mu\leq 150.6+1.96*3.963\\\\ 142.8 \leq\mu\leq 158.4

5 0
3 years ago
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