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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

3 years ago

The volume of this sphere is 500/3π cubic inches. What is the radius

Anestetic [448]

Volume is 4/3π r^3

500/3 π where is r ????? Please write clearly

4 0

3 years ago

Read 2 more answers

prove that every positive integer can be written as a finite sum of distinct integral powers of the golden ratio.

mote1985 [20]

z1 =........=zm = 0 and n=m because n0 cannot be expressed in the +ve Phi / golden ratio form.

<h3>What is golden ratio?</h3>

important is that the ratio between each succeeding pair of Fibonacci numbers approaches 1.618, or its inverse, 0.618, as the numbers get bigger. The holy proportion, the golden ratio, and the golden mean are some additional names for this proportion. Then why is this number so important? The fact that so many items in nature have dimensions characteristics that conform to the 1.618 ratio suggests that it plays a fundamental role for the components of nature. Due to its visual appeal compared to other proportions, the golden ratio is frequently used in the arts. The Great Pyramid in Giza, the Mona Lisa by Da Vinci, and the Parthenon in Athens are all.

z1 =........=zm = 0 and n=m

z1 =........=zm = 0 and n=m because n0 cannot be expressed in the +ve Phi / golden ratio form.

To know more about golden ratio visit ::-

brainly.com/question/2263789

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8 0

2 years ago

Driving 65 mph, it takes Alicia 3 hours to reach the airport to go on a vacation. It then takes her 4 hours to get to her destin

victus00 [196]

Answer: i am the first one to answer please mark brainliest

65x3 + 450x4=

Step-by-step explanation: