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nekit [7.7K]
3 years ago
11

What is the volume of the triangular prism prism? 8cm 13cm 3cm

Mathematics
1 answer:
Vika [28.1K]3 years ago
8 0

Answer:

156 cm3

If the length is 8cm and the base is 13cm and the prism height is 3cm

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The heights of men in a certain population follow a normal distribution with mean 69.7 inches and standard deviation 2.8 inches.
Mama L [17]

Answer:

a) P(Y > 76) = 0.0122

b) i) P(both of them will be more than 76 inches tall) = 0.00015

   ii) P(Y > 76) = 0.0007

Step-by-step explanation:

Given - The heights of men in a certain population follow a normal distribution with mean 69.7 inches and standard deviation 2.8 inches.

To find - (a) If a man is chosen at random from the population, find

                    the probability that he will be more than 76 inches tall.

              (b) If two men are chosen at random from the population, find

                    the probability that

                    (i) both of them will be more than 76 inches tall;

                    (ii) their mean height will be more than 76 inches.

Proof -

a)

P(Y > 76) = P(Y - mean > 76 - mean)

                 = P( \frac{( Y- mean)}{S.D}) > \frac{( 76- mean)}{S.D})

                 = P(Z >  \frac{( 76- mean)}{S.D})

                 = P(Z > \frac{76 - 69.7}{2.8})

                 = P(Z > 2.25)

                 = 1 - P(Z  ≤ 2.25)

                 = 0.0122

⇒P(Y > 76) = 0.0122

b)

(i)

P(both of them will be more than 76 inches tall) = (0.0122)²

                                                                           = 0.00015

⇒P(both of them will be more than 76 inches tall) = 0.00015

(ii)

Given that,

Mean = 69.7,

\frac{S.D}{\sqrt{N} } = 1.979899,

Now,

P(Y > 76) = P(Y - mean > 76 - mean)

                 = P( \frac{( Y- mean)}{\frac{S.D}{\sqrt{N} } })) > \frac{( 76- mean)}{\frac{S.D}{\sqrt{N} } })

                 = P(Z > \frac{( 76- mean)}{\frac{S.D}{\sqrt{N} } })

                 = P(Z > \frac{( 76- 69.7)}{1.979899 }))

                 = P(Z > 3.182)

                 = 1 - P(Z ≤ 3.182)

                 = 0.0007

⇒P(Y > 76) = 0.0007

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amys mom.made.60 cookies her mom made her.brother Jeff has eaten 10 cookies what is the percentage of the cookies that are remai
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Answer:

the answer is c

Step-by-step explanation:

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Harper deposited $110 into a savings account that earns 3.5% interest a year. The function (R)t models the amount of money Raymo
schepotkina [342]

Answer:

  A.  $2.26

Step-by-step explanation:

An equation for Harper's balance can be written similar to the one written for Raymond's balance. It will be ...

  H(t) = 110(1.035)^t

For t = 2, the two balances will be ...

  H(2) = 110(1.035^2) = 117.83

  R(2) = 110(1.025^2) = 115.57

The difference is ...

  $117.83 -115.57 = $2.26

Harper's account will have $2.26 more.

_____

As a quick estimate or sanity check, you can see that Harper's interest rate is 1% more than Raymond's. So, in 2 years, he will earn a little more than 2% more on his investment than Raymond earns. 2% of $110 is $2.20, so the difference can be expected to be slightly more than this.

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PLEEEAAAAAASE HELP!<br>What is the answer to this question?<br><br>​
IrinaVladis [17]

Answer:

  • 23 units

Step-by-step explanation:

<em>Perimeter is the sum of side lengths</em>

<u>Let's find the sides first</u>

  • AB = √(-2- 2)² + (-4+1)² = 5
  • BC = (2 - (-1)) = 3
  • CD = √(-1- 2)²+(5-2)² = √18 = 3√2 = 4.24
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  • AE = √(-4-(-2)²+(2-(-4))²=√40= 2√10 = 6.32

<u>Perimeter is</u>

  • P = 5 + 3 + 4.24 + 4.24 + 6.32 = 22.8 ≈ 23 rounded to the nearest whole number
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3 years ago
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Answer: wakanda fo eva

Step-by-step explanation:

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