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stich3 [128]
3 years ago
13

If y varies directly as x, and y is 48 when x is 6, which expression can be used to find the value of y when x is 2?

Mathematics
1 answer:
barxatty [35]3 years ago
4 0

The expression will be  y =8*2 or y = (48/6)*2

Step-by-step explanation:

The direct proportion is given if y varied directly as x

y∝x

When the proprtionality symbol is removed, a proportionality constant is introduced.

y = kx

as we know y = 48 when x = 6

48 = k * 6\\k = \frac{48}{6}\\k = 8

The equation will be:

y = 8x

So when x=2

y = 8*2

y = 16

Hence,

The expression will be  y =8*2 or y = (48/6)*2

Keywords: Proportion, Direct proportion

Learn more about proportion at:

  • brainly.com/question/4522984
  • brainly.com/question/4550858

#LearnwithBrainly

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Suppose that a brand of lightbulb lasts on average 1730 hours with a standard deviation of 257 hours. Assume the life of the lig
Debora [2.8K]

Answer:

P [  1689  ≤   X  ≤  2267 ]  = 54,88 %

Step-by-step explanation:

Normal Distribution

Mean        μ₀  =  1730

Standard Deviation      σ  = 257

We need to calculate  z scores for the values   1689     and      2267

We apply formula for z scores

z =  ( X -  μ₀ ) /σ

X = 1689     then

z = (1689 - 1730)/ 257      ⇒ z = - 41 / 257

z  = -  0.1595

And from z table we get  for  z =  - 0,1595

We have to interpolate

        - 0,15          0,4364

        - 0,16          0,4325

Δ  =   0.01           0.0039

0,1595  -  0,15  =  0.0095

By rule of three

0,01                  0,0039

0,0095                 x ??      x  =  0.0037

And    0,4364  -  0.0037  = 0,4327

Then    P [ X ≤ 1689 ]  =  0.4327     or    P [ X ≤ 1689 ]  = 43,27 %

And for the upper limit  2267  z  score will be

z  =  ( X - 1730 ) / 257       ⇒  z =  537 / 257

z  =  2.0894

Now from z table   we find  for score   2.0894

We interpolate and assume  0.9815

P [ X ≤ 2267 ]  =  0,9815

Ths vale already contains th value of   P [ X ≤ 1689 ]  =  0.4327

Then we subtract  to get    0,9815  -  0,4327   = 0,5488

Finally

P [ 1689  ≤   X  ≤  2267 ]  =  0,5488  or  P [  1689  ≤   X  ≤  2267 ]  = 54,88 %

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3 years ago
In trapezoid KLMN, solve for x ,then use that value to solve for
Andre45 [30]

Answer:

<u>Same side angles are supplementary</u>

L+k=180

18x-18+72=180

18x=126

x=7

m∠18(7)-18

= 108°

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3 years ago
What is the product?<br> (7x2y^3)(3x^5=y^8)
spin [16.1K]

Answer:

is the equal sign supposed to be there? if it wasnt then answer would be 42x^6y^11

Step-by-step explanation:

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3 years ago
Plzzz help I need help so bad
irinina [24]
The answer is A because both numbers can be divided by 6 to get 5 : 9
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3 years ago
Read 2 more answers
How many times can 38 go into 192 using long division
pshichka [43]

Answer: 5.0526

Step-by-step explanation:

Step 1:

Start by setting it up with the divisor 38 on the left side and the dividend 192 on the right side like this:

           

 3 8 ⟌ 1 9 2

Step 2:

The divisor (38) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:

       0    

 3 8 ⟌ 1 9 2

Step 3:

Multiply the divisor by the result in the previous step (38 x 0 = 0) and write that answer below the dividend.

       0    

 3 8 ⟌ 1 9 2

      0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.

       0    

 3 8 ⟌ 1 9 2

     - 0    

       1    

Step 5:

Move down the 2nd digit of the dividend (9) like this:

       0    

 3 8 ⟌ 1 9 2

     - 0    

       1 9  

Step 6:

The divisor (38) goes into the bottom number (19), 0 time(s). Therefore, put 0 on top:

       0 0  

 3 8 ⟌ 1 9 2

     - 0    

       1 9  

Step 7:

Multiply the divisor by the result in the previous step (38 x 0 = 0) and write that answer at the bottom:

       0 0  

 3 8 ⟌ 1 9 2

     - 0    

       1 9  

         0  

Step 8:

Subtract the result in the previous step from the number written above it. (19 - 0 = 19) and write the answer at the bottom.

       0 0  

 3 8 ⟌ 1 9 2

     - 0    

       1 9  

     -   0  

       1 9  

Step 9:

Move down the last digit of the dividend (2) like this:

       0 0  

 3 8 ⟌ 1 9 2

     - 0    

       1 9  

     -   0  

       1 9 2

Step 10:

The divisor (38) goes into the bottom number (192), 5 time(s). Therefore put 5 on top:

       0 0 5

 3 8 ⟌ 1 9 2

     - 0    

       1 9  

     -   0  

       1 9 2

Step 11:

Multiply the divisor by the result in the previous step (38 x 5 = 190) and write the answer at the bottom:

       0 0 5

 3 8 ⟌ 1 9 2

     - 0    

       1 9  

     -   0  

       1 9 2

       1 9 0

Step 12:

Subtract the result in the previous step from the number written above it. (192 - 190 = 2) and write the answer at the bottom.

       0 0 5

 3 8 ⟌ 1 9 2

     - 0    

       1 9  

     -   0  

       1 9 2

     - 1 9 0

           2

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 192 divided by 38 calculated using Long Division is: 5.0526

6 0
3 years ago
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