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swat32
3 years ago
11

What percent of 8 is 20

Mathematics
1 answer:
gavmur [86]3 years ago
3 0
You write it as a improper fraction first*
 20
-----
  8
and then u divide 8 into 20 
and we know that it goes in it 2.5 times
so simply from here
it is 2.5%
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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
Solve the equations help
Leni [432]

Answer:

First equation x=2, Y=9, Second Eq, x=2, y=1

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X+Y=11

2X-Y=-5 by substitution Y=11-X

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2x+y=5

3x-2y=4

so, y=5-2x

Thus, 3x-2(5-2x)=4

3x-10+4x=4, 7x=14, x=2, Thus, Y=5-2(2)= 1

5 0
3 years ago
13- (8x - 5) – 16x
KatRina [158]

Answer:

The answer is 6(3-4x) because I just did on a test

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3 years ago
How many cubes will be needed to construct the 5th "building" in the same pattern?
aleksley [76]

Answer:12

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3 years ago
Choose the set of equivalent fractions that correctly uses the LCD for these fractions 3/4 and 1/6
valina [46]

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Step-by-step explanation:

Start by writing multiples of 6 and 4

4: 4, 8, 12

6: 6, 12, 18

Did you see the multiple that both numbers have? Yup, it's 12. So that has to be your denominator for both fractions. This is because you have to have the <u>LEAST</u> COMMON Denominator (LCD). So both numbers have 12 in common as one of their multiples and, it's the least common one because there are no numbers that come before it that are common for both numbers. Now, you just have to change the denominators of both fractions into 12. To do that to 3/4, just multiply the top and bottom by 3 to get 9/12. To do that to 1/6, just multiply the top and bottom by 2 to get 2/12.  Hope this helps!

NOTE: REMEBER THAT WHATEVER YOU DO TO THE TOP OF A FRACTION, YOU HAVE TO DO IT TO THE BOTTOM TOO (AND VICE VERSA)

6 0
2 years ago
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