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hodyreva [135]
4 years ago
9

Simplify help me plss cuz I don’t find the answer

Mathematics
1 answer:
dusya [7]4 years ago
6 0
32^(-1/5)

1/32^(1/5)

^1/5 means 5√32 = 2

so the answer is 1/2 or 0.5
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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
Help with this I don't know how to solve
Hunter-Best [27]

Answer:

86.53

Step-by-step explanation:

Area of Triangle Formula: A = 1/2bh

Pythagorean Theorem: a² + b² = c²

Step 1: Draw altitude and label numbers

If we draw a line down the middle, we can see that we get a perpendicular bisector and that we get 2 right triangles with a hypotenuse of 29 and a leg of 3. We need to find <em>h</em> using Pythagorean Theorem in order to use area formula:

3² + b² = 29²

b² = 29² - 3²

b = √832 = h

Step 2: Plug in known variables into area formula:

A = 1/2(√832)(6)

A = 3√832

A = 86.5332

7 0
3 years ago
Jin's mother estimates there is a half-gallon of fruit punch remaining in the container. There are actually 72 ounces of fruit p
Ivanshal [37]

Answer:

89%

Step-by-step explanation:

the real answer is 64 fluid ounces

64/72*100 which is 88.89% or 89%

Hope this helps plz hit the crown :D

4 0
3 years ago
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What is the definition of acre
slamgirl [31]

Answer:

The definition of Acre is a unit of land area equal to 4,840 square yards (0.405 hectare). :)

Step-by-step explanation:

5 0
3 years ago
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Point P is the center of the circle below. What is the exact area
Ber [7]

Answer:

192π unit²

Step-by-step explanation:

Given that :

Radius = 24

Area of circle = πr²

Area = π*24²

Area = 576π in²

The Shaded area is 120°

Entire Circumference = 360°

Hence, shaded area = 120°/ 360° = 1/ 3 of the area

1/3 * 576π in²

= 192π unit²

5 0
3 years ago
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