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raketka [301]
3 years ago
8

Assume that adults have IQ scores that are normally distributed with a mean of 101.3 and a standard deviation 19.9. Find the fir

st quartile Upper Q 1​, which is the IQ score separating the bottom​ 25% from the top​ 75%. (Hint: Draw a​ graph.)

Mathematics
1 answer:
AnnyKZ [126]3 years ago
4 0

Answer:

87.9

Step-by-step explanation:

Use a calculator or table to find the z-score that corresponds to 25%.

P(Z < z) = 0.25

z = -0.675

Now find the value that corresponds to that z score.

z = (x − μ) / σ

-0.675 = (x − 101.3) / 19.9

x = 87.9

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Answer:

The change in the height of the seat of the Ferris wheel is a reduction in height of approximately 74.25 feet

Step-by-step explanation:

The given information are;

The position of the seat on the Ferris wheel = The center level of the wheel

The diameter of the Ferris wheel = 210 feet

The angle of rotation of the wheel = 45° counterclockwise

The height of a point on the Ferris wheel is given by the relation;

h = A·cos(b·x + c) + d

With regards to the question, we have;

h = The height of the seat of the Ferris wheel

A = The amplitude = 1/2 × The diameter of the wheel = 210/2 = 105 feet

360/b = The period

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d = The mid line = 0

For a rotation of 45° counterclockwise or-45° clockwise, we have;

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h  = 105 × cos(45° + 90°) + 0 = 105 × cos(135°) + 0

h = 105 × cos(135°) ≈ -74.25 feet

Therefore, the height of the seat of the Ferris wheel reduces by 74.246 feet.

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Annette bought 3 notebooks for $0.80 each and a pack of pens for $1.20. She gave the clerk some money and got back
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Step-by-step explanation:

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