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borishaifa [10]
3 years ago
9

Statement

Mathematics
1 answer:
lawyer [7]3 years ago
5 0

Answer:

Step-by-step explanation:ik it but answer mine first plz

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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
Beth rides 1 7/32 kristine rides 39/32 who rides the farthest
Citrus2011 [14]
Neither, they ride the same. 

First, convert 39/32 to a mixed number. Since it equals 1 7/32, and that's how much beth rode, they both rode the same. 
3 0
3 years ago
The county property tax rate is 6%. You own a house valued at 128,000. How much property tax would you owe each year?
Romashka-Z-Leto [24]

Answer:

7680

Step-by-step explanation:

128,000 x .06= 7680

5 0
3 years ago
Please help me with this, its confusing
ser-zykov [4K]
I can’t even read it ...
step by step explanation:
3 0
3 years ago
PLEASE ANSWER THIS ASAP I WILL MARK YOU THE BRAINLIEST
emmasim [6.3K]
Answer = 314.2

Area of cyclinder:
Area at base x height

Pi = 3.142

5^2 x 3.142 = 78.55

78.55 x 4 = 314.2
5 0
3 years ago
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