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UNO [17]
3 years ago
13

A person's IQ (Intelligence Quotient) is supposed to be a measure of his or her "intelligence." The IQ test scores are normally

distributed and are scaled to a mean of 100 and a standard deviation of 15. It is often said that a genius is someone with an IQ of 140 or more. What is the z-score for a 140 IQ? (Round your answer to one decimal place.) z = What percentage of the population scores as a genius? Round your answer as a percentage to one decimal place. %
Mathematics
1 answer:
babunello [35]3 years ago
7 0

Answer:

2.7 and 99.6%

Step-by-step explanation:

In this question, we are asked to calculate the percentage of the population scores as a genius.

We proceed as follows;

z =( Mean - value)/standard deviation= (140 - 100)/15 = 2.6667 = 2.7

From normal probability table, given that z = 2.67, the probability is 0.9962

This means that the required percentage is 99.6%

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bazaltina [42]

Step-by-step explanation:

Volume of a cylinder is:

V = πr²h

V = (3.14) (4 in)² (5 in)

V = 251.2 in³

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V = ⅓ πr²h

V = ⅓ (3.14) (4 in)² (15 in)

V = 251.2 in³

The volumes are equal.

8 0
3 years ago
How to calculate down payment on a house
Scrat [10]

Answer:

Steps below:)

Step-by-step explanation:

1. Find the mortgage amount.

2. Choose a interest rate on your mortgage.

3. Choose a mortgage term that is the median for your financial needs.

4. Calculate the monthly principal and interest payment using a financial calculator, a spreadsheet program such as Excel or an online mortgage calculator.

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8 0
3 years ago
Please show full solutions! WIll Mark Brainliest for the best answer. <br><br> SERIOUS ANSWERS ONLY
Ierofanga [76]

Answer:

  • vertical scaling by a factor of 1/3 (compression)
  • reflection over the y-axis
  • horizontal scaling by a factor of 3 (expansion)
  • translation left 1 unit
  • translation up 3 units

Step-by-step explanation:

These are the transformations of interest:

  g(x) = k·f(x) . . . . . vertical scaling (expansion) by a factor of k

  g(x) = f(x) +k . . . . vertical translation by k units (upward)

  g(x) = f(x/k) . . . . . horizontal expansion by a factor of k. When k < 0, the function is also reflected over the y-axis

  g(x) = f(x-k) . . . . . horizontal translation to the right by k units

__

Here, we have ...

  g(x) = 1/3f(-1/3(x+1)) +3

The vertical and horizontal transformations can be applied in either order, since neither affects the other. If we work left-to-right through the expression for g(x), we can see these transformations have been applied:

  • vertical scaling by a factor of 1/3 (compression) . . . 1/3f(x)
  • reflection over the y-axis . . . 1/3f(-x)
  • horizontal scaling by a factor of 3 (expansion) . . . 1/3f(-1/3x)
  • translation left 1 unit . . . 1/3f(-1/3(x+1))
  • translation up 3 units . . . 1/3f(-1/3(x+1)) +3

_____

<em>Additional comment</em>

The "working" is a matter of matching the form of g(x) to the forms of the different transformations. It is a pattern-matching problem.

The horizontal transformations could also be described as ...

  • translation right 1/3 unit . . . f(x -1/3)
  • reflection over y and expansion by a factor of 3 . . . f(-1/3x -1/3)

The initial translation in this scenario would be reflected to a translation left 1/3 unit, then the horizontal expansion would turn that into a translation left 1 unit, as described above. Order matters.

8 0
2 years ago
Carl went to the store to buy items for his party.He bought two packs for plates for $3.24 and a pack of cups for $5.70. He also
Andre45 [30]

3.24 + 5.70 + 6.17 = 15.11

20.00 - 15.11 = 5.11

He got 5.11$ of change back.

7 0
3 years ago
I need the answer as fast as i can get it!
blondinia [14]

Answer:

The answer should be choice D.

HOPE THIS HELPS! :)

7 0
3 years ago
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