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dusya [7]
3 years ago
5

Mr. Henderson’s annual premium of $4,668 is covered entirely by his employer along with 25% of the $9,264 premium for his wife a

nd kids. How much of the Henderson family’s annual premium is being paid for by Mr. Henderson’s employer? a. $2,316 b. $3,483 c. $6,984 d. $10,431
Mathematics
2 answers:
rusak2 [61]3 years ago
8 0
The answer to the question is C.
frez [133]3 years ago
7 0

Answer: Option 'c' is correct.

Step-by-step explanation:

Since we have given that

Amount of annual premium is covered entirely by Mr. Henderson's employer = $4668

Amount of premium for his wife and kids = $9264

Percentage of $9264 is covered by his employer = 25%

So, Total amount of Henderson family's annual premium is being paid by his employer is given by

\frac{25}{100}\times 9264\\\\=0.25\times 9264\\\\=\$2316

Total amount Mr.Henderson's family annual premium is given by

\$4668+\$2316=\$6984

Hence, Option 'c' is correct.

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What is the mean for this data set rounded to the nearest hundredth?
Mashutka [201]

Answer:

2.73

Step-by-step explanation:

add all the number together and you get 41

then divide 41 by the number of data which is 15

and you get 2.73

4 0
3 years ago
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It costs$15 to send 3 packages through a certain shipping company Consider the number of packages per dollar.
VMariaS [17]

.2 packages per number bebe :)

4 0
3 years ago
PLEASE HELP!! I don't understand rate of change so please include a bit of an explaination.
MrRa [10]

Answer:

the rate of change is 4.

Step-by-step explanation:

It is 4 because to find the rate of change you need to see how many pieces of corn (y) there are for every serving (x). If you see if you plug in the number three in between 2 and 4 for the servings and you follow the pattern of the table you will get 12. Then you subtract 8 from 12 and you get 4.

so basically the rate of change is the difference in corn for every serving.

5 0
3 years ago
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
5x - 6 = -16 (Show work)
zysi [14]
  • <em>Answer:</em>

<em>x = - 2</em>

  • <em>Step-by-step explanation:</em>

<em>Hi there ! </em>

<em>5x - 6 = - 16</em>

<em>5x = - 16 + 6</em>

<em>5x = - ( 16 - 6)</em>

<em>5x = - 10</em>

<em>x = - 10 : 2</em>

<em>x = - 2</em>

<em>Good luck ! </em>

6 0
3 years ago
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