Help Me For Number 5 Through 8

Carmen runs a video to DVD transfer business. She charges her customers $20.40 for each video transferred. Her expenses include

vovangra [49]

Answer:

A. p = $17.95n - $1,250.00

Step-by-step explanation:

Profit (p) = net revenue - expenditure

Net revenue = charge for transfer of n videos - expense for n blank DVD

charge per video transfer = $20.40

charge for n video transfer = $20.40 × n = $20.40n

expense per blank DVD = $2.45

expense for n blank DVD = $2.45 × n = $2.45n

Net revenue = $20.40n - $2.45n = $17.95n

expenditure = $1,250.00

Therefore, p = $17.95n - $1,250.00

6 0

3 years ago

Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 13. Use the empirical rule

Yuri [45]

Answer:

(a) 68% of people has an IQ score between 87 and 113.

(b) 5% of people has an IQ score less than 74 or greater than 126.

(c) 0.15% of people has an IQ score greater than 139.

Step-by-step explanation:

Given information:Scores of an IQ test have a bell-shaped distribution,

mean = 100

standard deviation = 13

According to the empirical rule

68% data lies between $\overline{x}-\sigma$ and $\overline{x}+\sigma$ .

95% data lies between $\overline{x}-2\sigma$ and $\overline{x}+2\sigma$ .

99.7% data lies between $\overline{x}-3\sigma$ and $\overline{x}+3\sigma$ .

(a)

$\overline{x}-\sigma=100-13=87$

$\overline{x}+\sigma=100+13=113$

$[\overline{x}-\sigma,\overline{x}+\sigma]=[87,113]$

Using empirical rule we can say that 68% of people has an IQ score between 87 and 113.

(b)

$\overline{x}-2\sigma=100-2(13)=74$

$\overline{x}+2\sigma=100+2(13)=126$

$[\overline{x}-2\sigma,\overline{x}+2\sigma]=[74,126]$

Using empirical rule we can say that 95% of people has an IQ score between 74 and 126.

The percentage of people has an IQ score less than 74 or greater than 126 is

P = 1- percent of people has an IQ score between 74 and 126.

P = 1- 95%

P = 5%

Therefore 5% of people has an IQ score less than 74 or greater than 126.

(c)

$\overline{x}-3\sigma=100-3(13)=61$

$\overline{x}+3\sigma=100+3(13)=139$

$[\overline{x}-3\sigma,\overline{x}+3\sigma]=[61,139]$

Using empirical rule we can say that 99.7% of people has an IQ score between 61 and 139.

The percentage of people has an IQ score less than 61 or greater than 139 is

P = 1- percent of people has an IQ score between 61 and 139.

P = 1- 99.7%

P = 0.3%

The percentage of people has an IQ score greater than 139 is

$P=\frac{1}{2}(0.3\%)=0.15\%$

Therefore 0.15% of people has an IQ score greater than 139.

5 0

3 years ago

The clock below shows what time mason mom drops him off for practice . what time did mason mom drop him off

inessss [21]

Answer:

where is the clock?

Step-by-step explanation:

7 0

3 years ago

What is 1.44 divided by 5.96 ROUNDED PLZ

Alekssandra [29.7K]

Answer:

0.24

Step-by-step explanation:

it was 0.24161073 not simplified but since the 1 after the 4 is not greater than five it stays the same and it beccome 0.24

4 0

3 years ago

Find The Area of triangle ABC

Sergeeva-Olga [200]

Answer:

b. area = 18 square units

Step-by-step explanation:

area of a triangle = 1/2 * base * height

area = 1/2 (6+3) + (6-2)

area = 1/2 * 9 * 4

area = 18 square units

therefore the answer is b.

3 0

3 years ago