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Ira Lisetskai [31]
3 years ago
15

How would you measure the volume of a cardboard shoebox

Mathematics
1 answer:
Nina [5.8K]3 years ago
6 0

-- Measure the length of the box.
-- Measure the width of the box.
-- Measure the height of the box.
-- Make sure all 3 measurements are in the same units.

-- Multiply (length) x (width).

-- Take that answer and multiply it by (height).

-- You now have the volume of the box.

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In a sample of seven cars, each car was tested for nitrogen-oxide emissions (in grams per mile) and the following results were o
ad-work [718]

The question is incomplete. Here is the complete qeustion.

In a sample of seven cars, each car was tested for nitrogen-oxide emissions (in grams per mile) and the following results were obtained: 0.10 0.13 0.16 0.15 0.14 0.008 0.15

(a) Construct a 99% confidence interval for the mean nitrogen-oxide emissions of all cars.

(b) If the EPA requires that nitrogen-oxide emissions be less than 0.165 g/mi, based on the 99% confidence interval in (a), can we safely conclude that this requirement is being met?

Answer: (a) 0.089 ≤ μ ≤ 0.171

(b) No

Step-by-step explanation:

(a) To determine the confidence interval, first calculate the mean (X) and standard deviation (s) of the sample

X = \frac{0.1+0.13+0.16+0.15+0.14+0.08+0.15}{7}

X = 0.13

s = \sqrt{\frac{(0.1-0.13)^{2} + (0.13 - 0.13)^{2} + ... + (0.15 - 0.13)^{2}}{7-1} }

s = 0.029

The degrees of freedom is

N - 1 = 7 - 1 = 6

And since the confidence is of 99%:

α = 1 - 0.99 = 0.01

α/2 = 0.01/2 = 0.005

The t-test statistics for t_{6,0.005} is 3.707

(Value found in the t-distribution table)

Now, calculate Error:

E = t_{6,0.005} . \frac{s}{\sqrt{N} }

E = 3.707. \frac{0.029}{\sqrt{7} }

E = 0.041

The interval will be:  

0.13 - 0.041 ≤ μ ≤ 0.13+0.041

0.089 ≤ μ ≤ 0.171

(b) No, because according to the interval, the nitrode-oxide emissions range from 0.089 to 0.171, which is greater than required by EPA.

7 0
3 years ago
Sally picked 815 flowers she wanted to put each flower in 4 pots how many more flowers does she pick so she won't gave any extra
bezimeni [28]

Answer:1 more flower

Step-by-step explanation:becuz if she had 815 flowers to divide equally among 4 pots it would not be equal one pot will only ,203 flowers when others have 204 flowers so she will need to pick one more flower so each pot can have an equal amount of flowers.

4 0
3 years ago
Read 2 more answers
What is -12(-3) + 7?
lys-0071 [83]

Hi!

This question is about math.

-12(-3) + 7

36+7

=43

Explanation: You had to used order of operations on this math problems. Then you can also used P-Parenthesis, E-Exponents, M-Multiply, D-Divide, A-Add, and S-Subtract. ("Please Excuse My Dear Aunt Sally".)  

For Example: (65+15*8/2)

15*\frac{8}{2}=60

65+60=125

Hope this helps! Thank you for posting your question at here on Brainly. Have a great day.

-Charlie

8 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP!! CORRECT ANSWER ONLY PLEASE!!<br><br> Simplify.<br><br> 3√-50
3241004551 [841]

3√(-50) = 3√(-1*50)=3i√(25*2) = 3*5i√2=15i√2

7 0
3 years ago
• Determine the coordinates of the vertices of the rectangle to compute the area of the rectangle using the distance formula (ro
sukhopar [10]

Answer:

the correct answer is d

Step-by-step explanation:

4 0
3 years ago
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