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beks73 [17]
2 years ago
9

NEED HELP ASAP PLEASE!!!!!

Mathematics
1 answer:
faust18 [17]2 years ago
6 0

Answer:

  1. 한차례ㅎ츟ㅎ츟
  2. <em><u>ㅗ어ㅐ더랴ㅜㄷ</u></em><em><u>ㅛ오ㅔ</u></em>
  3. <em><u>ㅎ요유ㅛㅇ</u></em>
  4. <em><u>ㅓ요둉ㅎ됴</u></em>
  5. <em><u>ㅎㅊ랻</u></em>
  6. <em><u>여곻</u></em>
  7. <em><u>여려ㅑㅗ고도오</u></em>
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What is the image of (0,8) after a dilation by a scale factor of 1/2 centered at the origin?
Agata [3.3K]

Answer:(0,4)

Step-by-step explanation:

6 0
2 years ago
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

6 0
3 years ago
"Harry had 500 pennies in a jar. He sorted the pennies into 25 different stacks. Each stack had the same number of pennies. How
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Answer:

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Step-by-step explanation:

To find out how many pennies were in each stack, you would have to divide 500 by 25. This gives you 20.

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Step-by-step explanation:

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On an architect's plan for a house, the scale reads ½ in. = 5 ft.
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The ratio is 1/2in to 5ft, or 1in to 10ft. That means for every 1 inch there will be 10ft. Since the room in the drawing is 2 inches long, the actual length of the room will be 20 feet long.
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