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3 years ago

32 ÷ 4 + (9×8)=?(24 × 2) + 5 × 3=?

Mathematics

1 answer:

Deffense [45]3 years ago

4 0

Answer:

1. 80

2. 63

Step-by-step explanation:

1. 32 divided by 4 = 8. 8 goes into 32 four times. (8+8+8+8=32)

9 times 8 = 72. 9 goes into 72 8 times. (9+9+9+9+9+9+9+9=72)

So we have 8 and we have 72.

There is an addition sign in between 32 divided by 4 and 9 times 8 - So we add 8 and 72.

8 + 72 = 80.

2. So we take 24 times 2.

24 times 2 = 48

then, we take 5 times 3.

5 times 3 = 15

Just as in problem one, we see that there is an addition sign between these two multiplication problems. So, we add them together.

48 + 15 = 63.

HOPE I HELPED.

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Answer:

Z=-2

This value means that the score of Rachel 550 it's 2 deviations below the mean of the population $\mu=600$

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".

$\mu=600$ represent the population mean for the Graduate Record Exam (GRE)

$\sigma=25$ represent the population standard deviation for Graduate Record Exam (GRE)

2) Solution to the problem

Let X the random variable that represent the Graduate Record Exam (GRE) of a population, and for this case we know the distribution for X is given by:

$X \sim N(600,25)$

Where $\mu=600$ and $\sigma=25$

We want to find the z score for a score of 550. And in order to do this we need to apply the formula for the z score given by:

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

If we apply this formula to our probability we got this:

$z=\frac{550-600}{25}=-2$

So the answer for our case would be Z=-2

This value means that the score of Rachel 550 it's 2 deviations below the mean of the population $\mu=600$

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3 years ago

Select the correct answer. The sum of Sally and Beth's age is 60. Six years ago, Sally was 3 times as old as Beth. What are thei

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Answer:

B. Beth's age is 18 years, and Sally's age is 42 years.

Step-by-step explanation:

You can solve this question in a couple of different ways. First, you can use process of elimination. You know that Sally is older than Beth because she has to be 3 times older 6 years ago, so you can get rid of options C and D because they both show Beth as being older. Now you only have A and B, and you can use a different process. Now from just looking at it, you can tell that A actually already shows Sally as 3 times Beth's age, 15 * 3 = 45. If you go to B, you can go ahead and subtract 6 from 18 (Beth's age) which will give you 12, and then multiply that by 3 to get 36. Now if you take 42 (Sally's age) and subtract 6 from it as well, you will get 36. This means that is lines up. To simplify, you are subtracting 6 from both 18 and 42, and then you are multiplying the lower number by 3 to see if it gets to the bigger number.

Hope this helped ^-^

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