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PIT_PIT [208]
2 years ago
13

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS SORRY FOR SPAMMING

Mathematics
1 answer:
Sliva [168]2 years ago
4 0

Answer:

-10 vertically and -1 horizontally

Explanation:

shifts -1 horizontally, -10 vertically

note: vertically is up ↑ and bottom ↓ , horizontal is right → and left ←

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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

6 0
3 years ago
You answer 32 questions correctly on a 45 question test. You need a score of at least 70% to pass. Do you pass? Explain
Taya2010 [7]

Answer:

Yes

Step-by-step explanation:

32 divided by 45 = .7111111111111111111

7 0
3 years ago
Read 2 more answers
What subtraction sentence does this show?
Vesna [10]

Answer:

b

Step-by-step explanation:

6 0
3 years ago
The Tools Plus Company is planning to produce drills. The company has rented space for its manufacturing operation at $5,000 per
xz_007 [3.2K]

Answer:

657680

Step-by-step explanation:

just did the math

5 0
3 years ago
Let f of x equals the integral from x to 1 of the square root of the quantity of 1 plus t squared . use your calculator to find
ollegr [7]

Analytically, it will be

-√(1+1²) = -√2

The calculator shows it to be -1.41421356237

_____

= -√2 to 12 significant digits.

8 0
3 years ago
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