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aivan3 [116]
3 years ago
15

What is 8% of 75. To lazy to do the work .

Mathematics
1 answer:
AURORKA [14]3 years ago
4 0

It's 6 because you have to divide \frac{8}{100} =\frac{x}{75}. You cross multiply then you divide by 100 then you get your answer.


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Suppose that an automobile manufacturer designed a radically new lightweight engine and wants to recommend the grade of gasoline
yawa3891 [41]

Answer:

B) 4.07

Step-by-step explanation:

First we need to calculate the mean of all the data, which is the same as the mean of the means of each grade of gasoline:

Regular    BelowRegular   Premium   SuperPremium

39.31             36.69                38.99             40.04

39.87            40.00                40.02             39.89

39.87            41.01                  39.99             39.93

X1⁻=39.68    X2⁻= 39.23       X3⁻= 39.66    X4⁻=  39.95

Xgrand⁻ = (39.68+39.23+39.66+39.95)/4 = 39.63

Next we need to calculate the sum of squares within the group (SSW) and the sum of squares between the groups (SSB), and the respective degrees of freedom):

SSW = [ (39.31-39.68)² + (39.87-39.68)² + (39.87-39.68)² ] + [ (36.69-39.23)² + (40.00-39.23)² + (41.01-39.23)² ] + [ (38.99-39.66)² + (40.02-39.66)² + (39.99-39.66)² ] + [ (40.04-39.95)² + (39.89-39.95)² + (39.93-39.95)² ] = [0.2091] + [10.2129] + [0.6874] + [0.0121] = 11.12

SSW =  11.12

Degrees of freedom in this case is calculated by m(n-1), with m being the number of grades of gasoline (4) and n being the number of trial results for each one (3), so we would have 4(3-1) = 8 degrees of freedom

SSB = [ (39.68-39.63)² + (39.68-39.63)² + (39.68-39.63)²] + [ (39.23-39.63)² + (39.23-39.63)² + (39.23-39.63)² ] + [ (39.66-39.63)² + (39.66-39.63)² + (39.66-39.63)² ] + [ (39.95-39.63)² + (39.95-39.63)² +(39.95-39.63)² ] = [0.0075] + [0.48] + [0.0027] + [0.3072] = 0.7974

SSB =  0.80

For this case, the degrees of freedom are m-1, so we would have 4-1 = 3 degrees of freedom

Now we can establish the hypothesis for the test:

H0: μ1 = μ2 = μ3 = μ4

The null hypothesis states that the means of miles per gallon for each fuel are the same, indicating that the drade of gasoline does not make a difference, therefore our alternative hypothesis will be:

H1: the grade of gasoline does makes a difference

We will use the F statistic to test the hypothesis, which is calculated like follows:

F - statistic = (SSB/m-1) / (SSW/m(n-1)) = (0.80/3) / (11.12/8) = 0.19

We know that the level of significance we are using is α = 0.05, so to find the critical value F we need to look at some table of critical values for the F distribution for the 0.05 significance level (like the attached image). Then we just need to look fot the value that is located in the intersection between the degrees of freedom we have in the numerator (horizontal) and the denominator (vertical) of the statistic (3 and 8). That critical value is:

Fc = 4.07

3 0
3 years ago
-7 + 2x = -45<br> a 1<br> b -19<br> c 11<br> d -16
Marina86 [1]

Answer:

B) -19

Step-by-step explanation:

-7 + 2x = -45

+7             +7

2x = -38

/2      /2

x = -19

7 0
3 years ago
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sofie and josh made 17 ounces of dough. they used 5/8 of the dough to make a pizza and used the rest to make calzones. what is t
fenix001 [56]
Answer=4.25 ounces or 4 1/4 ounces

17 ounces of dough

Amount used for pizza=17*5/8=10.625ounces

Amount used for calzones=17*3/8=6.375 ounces

amount used for pizza- amount used for calzones=
10.625-6.375=4.25ounces
4 0
3 years ago
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luis writes a five page report with 250 words. at the same rate, how many pages would be needed for 400 words?
Georgia [21]

Answer:

you will need 8 pages for 400 words.

Step-by-step explanation:

250/5=50 (divided 250 with 5 and got 50)

Then I took 400 and divided it by 50 and got 8. (400/50=8)

I hope this helps!

3 0
2 years ago
Anyone? will mark you as brainlist
scoray [572]

Answer:

true

Step-by-step explanation:

5 0
3 years ago
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