The mass of d of a substance is given by the formula m = dv, where d is its density and v is its volume.

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

3 years ago

Simplify this but also what is the thing in yellow called? <br><br>

JulsSmile [24]

Answer:

the yellow thing is called a radical and the answer is 7.07 or 5√2 in radical form

Step-by-step explanation:

3 0

1 year ago

Solve the system by the substitution method. Show your work.<br> 2y - x = 5<br> x^2 + y^2 - 25 = 0

Elza [17]

2y - x = 5
x^2 + y^2 - 25 = 0

x = 2y - 5

(2y-5)^2 + y^2 - 25 = 0
(2y-5)(2y-5) + y^2 - 25 = 0
4y^2 - 20y + 25 + y^2 - 25 = 0
5y^2 - 20y = 0
y = 0 , y = 4

x = 2y - 5 , when y = 0
x = - 5

x = 2y - 5 , when y = 4
x = 8 - 5
x = 3

6 0

3 years ago

10. A band Martha likes just released a new

irga5000 [103]

Answer:

Buy individual songs

Step-by-step explanation:

Considering that individual 6 songs each $0.99 will cost Martha a total of 6*$0.99=$5.94 and also individual 3 songs for $1.29 will mean he incurrs a sub-total cost of 3*1.29=$3.87

Total cost of buying 9 individual songs will be C=5.94+3.87=$9.81 which is less than the cost of the whole album. Therefore, it is recommended to buy individual songs instead of album for this case since the total cost of individual songs that the buyer is interested in is less than the total cost of an album

5 0

3 years ago

Solve each inequality. Graph the solution. *you must draw your graph on your work p-

V125BC [204]

54/2 or 27 should be the answer

3 0

3 years ago