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BaLLatris [955]
3 years ago
11

PLEASE HELP; if a and b are directly proportional, and b and c are directly proportional, then how are a and c related?

Mathematics
1 answer:
olga_2 [115]3 years ago
6 0
The transitive property states that “ for all numbers a,b, and c, if a=b and b=c, then a=c. Therefore, a and c are the same.
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What is the value of x in the equation 4(2x 10) = 0? −5 −7 5 7
Alex73 [517]
4(2x+10)= 0
8x+40=0
subtract 40 from both sides
8x+40-40=0-40
8x=-40
x=-40/8
x=-5



4(2x-10)=0
8x-40=0
Add 40 from both sides
8x-40+40=0+40
8x=40
x=40/8
x=5
4 0
3 years ago
Read 2 more answers
The "cold start ignition time" of an automobile engine is being investigated by a gasoline manufacturer. The following times, in
Nezavi [6.7K]

Answer:

<em>1. Sample Mean = 2.50 </em>

<em>2. Sample Variance = 1.35</em>

<em>3. Standard Deviation = 1.16</em>

Step-by-step explanation:

Note: As this question is not complete, similar can be found on internet where following are asked to calculate and here I will calculate these as well.

1. Sample Mean.

2. Sample Variance.

3. Sample Standard Deviation.

So, for sample mean to calculate from the given data points. We need to apply to following formula to calculate sample mean.

Sample Mean = (X1 + X2 + .... + XN) divided by Total number of data points.

Sample Mean = (0.17 + 1.94 + 2.62 + 2.35 + 3.05 + 3.15 + 2.53 + 4.81 + 1.92) divided by (9).

<em>Sample Mean = 2.50</em>

Likewise, from the answer of sample mean we can calculate sample variance by following steps.

<u><em>Solution: </em></u>

1.      Subtract the obtained mean from each of the data point given.

       (0.17 - 2.50) = -2.33

       (1.94 - 2.50) = -0.56

       (2.62 - 2.50) = 0.12

       (2.35 - 2.50) = -0.15

       (3.05 - 2.50) = 0.55

       (3.15 - 2.50) = 0.65

       (2.53 - 2.50) = 0.03

       (4.81 - 2.50) =  2.31

       (1.92 - 2.50) = -0.58

2.      Square each of the differences obtained in step 1.

            -2.33^{2} = 5.43

            -0.56^{2} = 0.31

               0.12^{2} = 0.01

            -0.15^{2} = 0.02

              0.55^{2}  = 0.30

              0.65^{2}  = 0.42

              0.03^{2} = 0.01

              2.31^{2} = 5.34    

           -0.58^{2} = 0.34    

3.  Sum all of these squares.

(5.43 + 0.31 + 0.01 + 0.02 + 0.30 + 0.42 + 0.01 + 5.34 + 0.34) = 12.18

4. Divide 12.18 by (n-1), where n = 9.

<em>Sample Variance =  12.18/9 = 1.35</em>

Now, by using sample variance, we can calculate standard deviation with easy simple steps.

So, in order to find standard deviation, we just need to take the square root of sample variance that we have already calculated above.

<em>Standard Deviation = </em>\sqrt{1.35}<em> = 1.16 </em>

<em>Good Luck!</em>

6 0
3 years ago
Solve: 21= 14 +7x<br> A x=5<br> B x=1<br> C<br> X = -1<br> D X = -5
Andreyy89

Answer:

Your answer is b

Step-by-step explanation:

Here you go mate

Step 1

21=14+7x  Equation/Question

Step 2

21=14+7x  Simplify

21=14+7x

Step 3

21=14+7x  Subtract 14x

7x=7

Step 4

7x=7  Divide by 7

answer

1

Hope this help

6 0
3 years ago
452 multiplied by 36
aliya0001 [1]

Answer:

16272 is the answer.......

5 0
3 years ago
A container holds 425 grams of bread crumbs. For every 1 ounce, there are approximately 28.3 grams.
Rasek [7]

Answer:

15 oz

Step-by-step explanation:

425/28.3 = 15.02 oz or 15 oz

3 0
2 years ago
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