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3 years ago

The perimeter of the base of a square prism is 16cm. The height of the prism is 5 cm. Find the volume of the prism.

Mathematics

1 answer:

zhenek [66]3 years ago

7 0

:$/$$$$677262)2) 677

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A gondola (cable car) at a ski area holds 50 people. Its maximum safe load is 10000 pounds. A population of skiers has a distrib

fenix001 [56]

Answer: 0.03855

Step-by-step explanation:

Given :A population of skiers has a distribution of weights with mean 190 pounds and standard deviation 40 pounds.

Its maximum safe load is 10000 pounds.

Let X denotes the weight of 50 people.

As per given ,

Population mean weight of 50 people = $\mu=50\times190=9500\text{ pounds}$

Standard deviation of 50 people $=\sigma=40\sqrt{50}=40(7.07106781187)=282.84$

Then , the probability its maximum safe load will be exceeded =

$P(X>10000)=P(\dfrac{X-\mu}{\sigma}>\dfrac{10000-9500}{282.84})\\\\=P(z>1.7671-8)\\\\=1-P(z\leq1.7678)\ \ \ \ [\because\ P(Z>z)=P(Z\leq z)]\\\\=1-0.96145\ \ \ [\text{ By p-value of table}]\\\\=0.03855$

Thus , the probability its maximum safe load will be exceeded = 0.03855

3 0

3 years ago

Marcus borrowed 9000 from his bank to buy a car. The bank charged him a simple interest rate of 1.25%. By the time he paid back

snow_lady [41]

Answer:

2.5 years

Step-by-step explanation:

Given data

P=9000

r= 1.25%

A= 9281.25

The simple interest expression is given as

A=P(1+rt)

substitute

9281.25= 9000(1+0.0125*t)

9281.25=9000+112.5t

collect like terms

9281.25-9000=112.5t

281.25= 112.5t

t= 281.25/112.5

t= 2.5

Hence the time is 2.5 years

7 0

3 years ago

Solve the equation using the multiplicative property of equality and the reciprocal. -2(a-5)=-1/2)10. (-1/2)(-2)(q-5)=(-1/2)10.

finlep [7]

Answer:

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3 years ago

Find the greatest common factor of 13x2 and 14x3

mamaluj [8]

Answer:

Step-by-step explanation:

13x2=26

14x3=42

Greatest common Factor of 26 and 42 is 2

8 0

2 years ago

the names of nine boys and two girls are in a hat. what is the probability of first drawing a girls name and then a boys name fr

lara [203]

18/121 shoul be the answer

5 0

3 years ago

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