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kkurt [141]
4 years ago
14

If k(x) = 5x-6, which expression is equivalent to (k+k) (4)?

Mathematics
1 answer:
goldenfox [79]4 years ago
5 0

Answer:

<em>5(4) - 6 + 5(4) - 6</em>

Step-by-step explanation:

k(x) = 5x - 6

(k+k)(x) = 5x - 6 + 5x - 6

(k+k)(4) = 5(4) - 6 + 5(4) - 6

=> Option D is correct

Hope this helps!

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A recent CBS News survey reported that 64% of adults felt the U.S. Treasury should continue making pennies. Suppose we select a
enyata [817]

Complete Question

A recent CBS News survey reported that 64% of adults felt the U.S. Treasury should continue making pennies. Suppose we select a sample of 18 adults.

a-1. How many of the 18 would we expect to indicate that the Treasury should continue making pennies

a-2) What is the standard deviation?

a-3) What is the likelihood that exactly 3 adults would indicate the Treasury should continue making pennies?

Answer:

a-1 \= x = 11 .52

a-2  \sigma  = 2.036

a-3 P(3) =  4.7*10^{-5}

Step-by-step explanation:

From the question we are told that

  The sample size is  n =  18

  The proportion of adult that  felt the U.S. Treasury should continue making pennies is p =  0.64

 The proportion of adult that  feel otherwise is

q = 1- p = 1-0.64 = 0.36

 The mean is mathematically evaluated as

      \= x =  n * p

substituting values

  \= x = 18 * 0.64

   \= x = 11 .52

The standard deviation is mathematically represented as

       \sigma  =  \sqrt{ npq}

substituting values

      \sigma  =  \sqrt{18 * 0.64 * 0.36}

      \sigma  = 2.036

The likelihood that 3 adult would indicate  the Treasury should continue making pennies is mathematically evaluated as

    P(3) = \left  n} \atop  \right. C_3  (p)^{3} * (q)^{n-3}

Now

    \left  n} \atop  \right. C_3 =  \frac{n! }{[n-3] ! 3!}

substituting values

    \left  n} \atop  \right. C_3 =  \frac{18! }{[15] ! 3!}

    \left  n} \atop  \right. C_3 =  \frac{18 * 17 * 16 * 15! }{[15] ! (3 *2 *1 )}

   \left  n} \atop  \right. C_3 =  \frac{18 * 17 * 16 }{ (3 *2 *1 )}

   \left  n} \atop  \right. C_3 =  816    

So

    P(3) =  816 * (0.64 )^3 * (0.36 )^{18-3}

    P(3) =  4.7*10^{-5}

8 0
3 years ago
Simon fills a container with 38 1-in, cubes.
DanielleElmas [232]

<u>Question Correction</u>

Simon fills a container with 38 1-in, cubes. The container is a box of dimension 4 in. by 3 in. by 4 in.,How many more 1 in cubes does the container need to  be completely filled?

Answer:

10 1-in cubes

Step-by-step explanation:

First, we determine the Volume of the box.

Volume of a Rectangular Prism =Length X Height X Width

Volume of the box = 4 X 3 X 4= 48 cubic inches

To fill the box container, we would need 48 1 in cubes.

Since Simon already filled the container with 38 1-in, cubes.

Number of 1-in. cubes required to fill the box

=48 -38

=10.

Simon would need 10 1-in cubes to fill the box.

3 0
3 years ago
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Use the X intercept method to find all real solutions of the equation x^3-10x^2+17x+28=0
irakobra [83]

Answer:

They are -1, 4 and 7.

Step-by-step explanation:

x^3 - 10x^2 + 17x + 28 = 0

Observation of this equation shows that there is an x -intercept at x = -1 because

-1^3 - 10^(-1)^2 - 17(1) + 28 =   -28 + 28

= 0.

So x + 1 must be a factor so we can do the division:

x + 1 ) x^3 - 10x^2 + 17x + 28 ( x^2 - 11x + 28

          x^3 + x^2

                 -11x^2 + 17x

                 -11x^2 - 11x

                               28x^2 + 28

x^2 - 11x + 28 = ( x - 4)(x - 7)

x = 4, 7.

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4 years ago
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Use the number line to name the fraction or decimal
Naddik [55]
G would be 3.8 and H would be 3.5
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3 years ago
How is adding and subtracting decimals similar to adding and subtracting whole numbers
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Don't forget, for a whole number like the first term, the decimal point lies just to the right of the ones column. ... To subtract these numbers, first arrange the terms vertically, aligning the decimal points in each term. You can add zeroes to the right of the decimal point, to make it easier to align the columns
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3 years ago
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