Allie and Joe are playing a game with a

Write each of the following expressions without using absolute value. |z−6|−|z−5|, if z<5

yaroslaw [1]

Answer:

6z

Step-by-step explanation:

4 0

3 years ago

For a given IQ test, an individual is considered a genius if their score falls more than three standard deviations from the mean

ki77a [65]

Answer:

$P(Z>3) = 1-P(Z$

So then the probability that an individual present and IQ higher than 3 deviation from the mean is 0.00135

And if we find the number of individuals that can be considered as genius we got: 0.00135*1500=2.025

And we can say that the answer is a.2

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

2) Solution to the problem

Let X the random variable that represent the IQ scores of a population, and for this case we know the distribution for X is given by:

$X \sim N(\mu=?,\sigma=?)$

We are interested on this probability

$P(X>X+3\mu)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

And we can find the following probablity:

$P(Z>3) = 1-P(Z$

So then the probability that an individual present and IQ higher than 3 deviation from the mean is 0.00135

And if we find the number of individuals that can be considered as genius we got: 0.00135*1500=2.025

And we can say that the answer is a/2.0

3 0

3 years ago

You are playing Monopoly with a friend. She owns and has developed Park Place and Boardwalk with hotels. If you roll an 8, you w

Mariulka [41]

Okay so this friend has a 8, 9, 10 as her options that she pays at.

8: 2,6 9: 6,3 10: 5,5
6,2 3,6 5,5
4,4
4,4

These are the possibilities of rolling these numbers. = 4 possibilities

4/11 (11 because that is the number of possibilities you get for two dice)

that leaves 7/11 possibilities of rolling and not paying!

36% lands on a spot that she pays at and about 64% possibilities of not paying.

Hope this helped!

:)

6 0

3 years ago

What is 21000 rounded to the nearest ten thousand

denpristay [2]

A number rounded to the nearest 10000, means that the last four digits of that number (on the left of the decimal point) are 0.
However, if the fourth-last digit to the left of the decimal point is 5 or greater, the number to the left of that is rounded to 1 number higher. For example, if you were rounding 145293 to the nearest 10000, it would be 150000.

However, the fourth-last digit to the left of the decimal point in this case is 1.
Therefore, 21000 rounded to the nearest 10000 is 20000.

4 0

3 years ago

Read 2 more answers

I will name you brainliest!

liq [111]

Answer:

Step-by-step explanation:

a specific shade of red nail polish requires 7 parts of red to 2 parts of yellow. A mixture contains 35 quarts of red and 8 quarts of yellow.

How can you fix the mixture to make the correct shade of red?

:

The red:yellow ratio is 7:2, we can write the mixture as 7%2F9 or 77.8% red

:

The existing mixture of 35:8 is a 43 quart mixture and can be written as: 35%2F43 or 81.4% red

:

we need to add yellow to reduce the per cent of red

:

Let y = amt of yellow required to do this

:

7%2F9*(y+43) = 35

Multiply both sides by 9

7(y+43) = 9 * 35

7y + 301 = 315

7y = 315 - 301

7y = 14

y = 14/7

y = 2 quarts of yellow to be added, for total mixture of 45 quarts

;

:

Check this, it still contains 35 quarts of red but the percentage has changed

35%2F45 = 77.8% red which is what we want, a ratio of 7:2

here you go i hope it helps

4 0

3 years ago