What is the area of the parallelogram?

Answers

Answer 1

Answer:

Answer and step-by-step explanation:

The parallelogram would be inside the trapezoid. A parallelogram has two pairs of parallel sides. The length would be 3 and the width would be 9; this makes the area

A = bh = 3(9) = 27.

Answer 2

Answer: 27 all you have to do is times the base by the height

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scores on a college entrance examination are normally distributed with a mean of 500 and a standard deviation of 100% of people who write this exam obtain scores between 425 and 575

Answers

We have

$\mu = 500$

$\sigma = 100$

425 corresponds to a z of

$z_1 = (425 - 500)/(100) = -\frac 3 4$

575 corresponds to

$z_2 = (575 - 500)/(100) = \frac 3 4$

So we want the area of the standard Gaussian between -3/4 and 3/4.

We look up z in the standard normal table, the one that starts with 0 at z=0 and increases. That's the integral from 0 to z of the standard Gaussian.

For z=0.75 we get p=0.2734. So the probability, which is the integral from -3/4 to 3/4, is double that, 0.5468.

Answer: 55%

Write 240 and 1500 as products of their prime factor

Answers

Answer:

$240=2^4* 3* 5$

$1500=2^2* 3* 5^3$

Step-by-step explanation:

To find : Write 240 and 1500 as products of their prime factor ?

Solution :

We factor the number by dividing the least prime numbers,

2 | 240

2 | 120

2 | 60

2 | 30

3 | 15

5 | 5

| 1

So, $240=2* 2* 2* 2* 3* 5$

or $240=2^4* 3* 5$

2 | 1500

2 | 750

3 | 375

5 | 125

5 | 25

5 | 5

| 1

So, $1500=2* 2* 3* 5* 5* 5$

or $1500=2^2* 3* 5^3$

240 = 2 × 120
120 = 2 × 60
60 = 2 × 30
30 = 2 × 15
15 = 3 × 5
The 2, 2, 2, 2, 3 and 5 are all the prime factors of 240. So, 2^4 × 3 × 5

1500 = 3 × 500
500 = 5 × 100
100 = 5 × 20
20= 5 × 4
4 = 2 × 2
The 3, 5, 5, 5, 2 and 2 are all the prime factors of 1500. So, 2² + 3 + 5³

How many feet is 25 yards?