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A savings account balance can be modeled by the graph of the linear function shown on the grid. What is the rate of change of th

Natali5045456 [20]

Answer:

C) $75 per deposit

Step-by-step explanation:

Each square is 25 dollars, hence 4 squares making 100 dollars.

Each they make a deposit 3 squares move up

Making it $75

4 0

3 years ago

Based on the polynomial remainder theorem, what is the value of the function when x = 4? f(x)=x4−2x3+5x2−20x−4

Firdavs [7]

The answer is f(x) = 124

4 0

3 years ago

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A gasoline tank for a certain car is designed to hold 14.0 gal of gas. Suppose that the variable x = actual capacity of a random

MariettaO [177]

Answer:

A gasoline tank for a certain car is designed to hold 14.0 gal of gas.

$\mu = 14$

$\sigma = 0.2$

a)What is the probability that a randomly selected tank will hold at most 13.7 gal?

We are supposed to find $P(x \leq 13.7)$

$z=\frac{x-\mu}{\sigma}$

$z=\frac{13.7-14}{0.2}$

$z=-1.5$

Refer the z table for p value

p value = 0.0668

So, $P(x \leq 13.7)= 0.0668$

The probability that a randomly selected tank will hold at most 13.7 gal is 0.0668

b)What is the probability that a randomly selected tank will hold between 13.4 and 14.3 gal?

We are supposed to find $P(13.4$

$z=\frac{x-\mu}{\sigma}$

$z=\frac{13.4-14}{0.2}$

$z=-3$

P(x<13.4)=P(z<-3)= 0.0013

$z=\frac{x-\mu}{\sigma}$

$z=\frac{14.3-14}{0.2}$

$z=1.5$

P(x<14.3)= 0.9332

$P(13.4$

The probability that a randomly selected tank will hold between 13.4 and 14.3 gal is 0.9319

(c) If two such tanks are independently selected, what is the probability that both hold at most 14 gal?

We are supposed to find $P(x \leq 14)$

$z=\frac{x-\mu}{\sigma}$

$z=\frac{14-14}{0.2}$

$z=0$

Refer the z table for p value

p value = 0.5

So, $P(x \leq 14)= 0.5$

Two such tanks are independently selected, the probability that both hold at most 14 gal = 0.5 * 0.5 = 0.25

Hence If two such tanks are independently selected, the probability that both hold at most 14 gal is 0.25

3 0

2 years ago

What is the median of this data? 43, 28, 39, 19, 24, 47, 31, 20, 37

kotegsom [21]

32 Just add all the numbers up and divide by how many numbers there are (9).

7 0

3 years ago

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I never understand math

zloy xaker [14]

0.17
Explain: looked it up and also use Symbolab it’s a math calculator

8 0

2 years ago

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