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swat32
2 years ago
12

The graph Y=2(x-3)^2

Mathematics
1 answer:
Digiron [165]2 years ago
7 0
Y — 2 = ( x — 3 ) 2^
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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
Solve for x. 3/5 x=9 What should we do first? Finish solving it and what do you get for x? A) 27/5 B) 30 c) 15
kumpel [21]

Answer:

c.) 15

Step-by-step explanation:

1st Multiply both sides by 5: 5×3/5x=9×5

2nd Simplify: 3x=45

3rd Divide both sides by 3: 3x÷3=45÷3

4th Simplify: x=15

3 0
3 years ago
Please help im not very sure what any of this means
BaLLatris [955]

Answer:

∠JKH and ∠GHF

Step-by-step explanation:

<em>hey there,</em>

<em />

< Corresponding means "the angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal." The lines here are parallel so they are equal.

If you don't understand the meaning of the angles also, feel free to ask me about that too.

The two angles I listed are equal to equal to each other. When you look at the other options, they aren't equal, they might look less or more degrees.

If this won't be a multiple choice but short answer, try looking at angles that look similar and see if they would be able to match with the angle given. >

<u>Hope this helps! Feel free to ask anything else.</u>

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PLEASE HELP HURRY !!Determine if the following system of equations has no solutions, infinitely many
alisha [4.7K]
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How can I solve the Jose moped question because I am confused?
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Answer:

BRuh just send jose to the cleaners

Step-by-step explanation:

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