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2 years ago

9

For his long-distance phone service, Jim pays a $3 monthly fee plus 11 cents per minute. Last month, Jim's long-distance bill wa

s $21.48. For how many minutes was Jim billed?

1 answer:

Ymorist [56]2 years ago

7 0

Answer:

168

Step-by-step explanation:

3 + .11x = 21.48

.11x = 18.48

x = 168

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The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is 2135 miles, with a variance

stiv31 [10]

Answer:

0.36878

Step-by-step explanation:

Given that:

Mean number of miles (m) = 2135 miles

Variance = 145924

Sample size (n) = 40

Standard deviation (s) = √variance = √145924 = 382

probability that the mean of a sample of 40 cars would differ from the population mean by less than 29 miles

P( 2135 - 29 < z < 2135 + 29)

Z = (x - m) / s /√n

Z = [(2106 - 2135) / 382 / √40] < z < [(2164 - 2135) / 382 / √40]

Z = (- 29 / 60.399503) < z < (29 / 60.399503)

Z = - 0.4801364 < z < 0.4801364

P(Z < - 0.48) = 0.31561

P(Z < - 0.48) = 0.68439

P(- 0.480 < z < 0.480) = 0.68439 - 0.31561 = 0.36878

= 0.36878

3 0

2 years ago

For the graphed function f(x) = (4)x − 1 + 2, calculate the average rate of change from x = 1 to x = 2.

lorasvet [3.4K]

Average rate of the function: 3

Step-by-step explanation:

The function in this problem is

$f(x)=4^{x-1}+2$

The average rate of change of a function over an interval $(x_1,x_2)$ is given by

$r=\frac{f(x_2)-f(x_1)}{x_2-x_1}$

where

$f(x_1),f(x_2)$ are the values of the function calculated in $x_1,x_2$ respectively

For the function in this problem we have:

$x_1=1$ , so

$f(x_1)=f(1)=4^{1-1}+2=4^0+2=1+2=3$

$x_2=2$ , so

$f(x_2)=f(2)=4^{2-1}+2=4^1+2=4+2=6$

So, the average rate of change is

$r=\frac{6-3}{2-1}=\frac{3}{1}=3$

Learn more about rate of change:

brainly.com/question/4152194

brainly.com/question/12941985

#LearnwithBrainly

4 0

2 years ago

Using the technique in the model above, find the missing sides in this 30°-60°-90° right triangle. Hypotenuse = 12 Short =

xeze [42]

Answer:

Short leg = 6.

Step-by-step explanation:

Hypotenuse = 2x

short leg = x

long leg = x√3

Hypotenuse = 2x=12

x = 12/2

x=6

short leg = x = 6

8 0

3 years ago

If fx= 6x-4 what is<br> when x=8

ra1l [238]

Answer:

44

Step-by-step explanation:

fx=6(8)-4

fx=48-4

fx=44

6 0

3 years ago

Read 2 more answers

The table below lists the masses and volumes of several pieces of the same type of metal. There is a proportional relationship b

Murrr4er [49]

Given the table below which lists the masses and volumes of several pieces of the same type of metal.<span>

From the table the ratio of the mass to the volume of the metal of mass 34.932 is 34.932 / 4.1 = 8.52
</span><span>the ratio of the mass to the volume of the metal of mass 47.712 is 47.712 / 5.6 = 8.52
</span><span>the ratio of the mass to the volume of the metal of mass 61.344 is 61.344 / 7.2 = 8.52
</span><span><span>the ratio of the mass to the volume of the metal of mass 99.684 is 99.684 / 11.7 = 8.52

</span>MASS (grams) VOLUME (cubic cm.)
34.932 4.1
47.712 5.6
61.344 7.2
99.684 11.7</span>

Since the ratio of the various masses to the volume of the metals is the same, so there is a relationship between the mass and the volume of the piece of metal.

If the volume of a piece of metal is 15.3 cubic cm, then the mass of the metal is given by 15.3 * 8.52 = 130.356 grams.

3 0

3 years ago