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3 years ago

If mAngleP = 85°, which is a possible measure for AngleY? mAngleY = 80° mAngleY = 85° mAngleY = 100° mAngleY = 180°

Mathematics

1 answer:

Serhud [2]3 years ago

4 0

Answer:

Step-by-step explanation:

The complete question is

In the triangles, XY = MP and YZ = PN.

If mP = 85°, which is a possible measure for Y?

mY = 80°
mY = 85°
mY = 100°
mY = 180°

This problem is solved by simple reasoning.

In the figure, you can observe that angle Y is major than angle P, because the third side of the first triangle is major than the third side of the second triangle. So, the right answer must be higher than 85°, which is option 3, because it cannot be 180°, due to the graph doesn't show an straight angle at Y, and cannot be 80° because is lower than 85°

Therefore, the right answer is 100°.

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Distributions and Comparing Data Project

LenKa [72]

Answer:

1. The shape of the histogram created with MS Excel is approximately bell shaped and approximately evenly spread about the central (largest counts) values

The shape of the box plot created with MS Excel is approximately evenly distributed

2. The appropriate measure of central tendency for a bell shaped histogram is the mean and median, due to the approximately equal distribution about the highest frequency class

3. Part A

The 15 numbers between 1 and 20 generated by a random generator are;

1, 8, 8, 15, 4, 18, 11, 6, 17, 1, 18, 15, 10, 12, 11

The measure of center is the mean = (1+8+8+15+4+18+11+6+17+1+18+15+10+12+11)/15 = 155/15 = 31/3

The measure of spread used is the variance, s² = 32.38

$Where, \,s^2 =\dfrac{\sum \left (x_i-\bar x \right )^{2} }{n - 1}$

${\sum \left (x_i-\bar x \right )^{2} }$ = 453.333

n = 15

s² = 453. $\overline 3$ /(15 - 1) = 32.38

Part B

The measure of central tendency are the mean and the median because the size of the data (n = 15), is 75% of the population (N = 20) nd therefore the data is approximately normal and can be represented by the mean and the standard deviation

Step-by-step explanation:

4 0

3 years ago

Multiply polynomials

Burka [1]

Answer -2x^4 - 2x^3 + 22x^2 - 30x + 12

Here's your solution

=> (2x^2 - 4x + 2) - (x^2 + 3x - 6)

=> (2x^2 - 4x + 2) -x^2 - 3x + 6

=> firstly multiple whole with -x^2

=> -x^2(2x^2 - 4x + 2) = -2x^4 + 4x^3 - 2x^2

=> now with -3x

=> -3x(2x^2 - 4x + 2) = -6x^3 +12x^2 -6x

=> with 6

=> 6(2x^2 - 4x + 2) = 12x^2 - 24x + 12

=> now add all terms

=> -2x^4 - 2x^3 + 22x^2 - 30x + 12

hope it helps and your day will be full of happiness ^_^

4 0

3 years ago

What is the fraction twelve twenties in its simplest form ?

Marina CMI [18]

All you do is divide -12/20 by 4/4 which is -3/5

7 0

3 years ago

In a company, 80% of the workers are women. If 480 men work for the company, how many workers are there in all? Use pencil

nekit [7.7K]

Answer:

The total workers are 2400.

Step-by-step explanation:

Given:

In company 80% of the workers are women.

480 workers are men.

Now, to find the total workers in all.

In first way:

If women are 80%, then men would be 100-80 = 20%.

Let the total workers be $x$ .

According to question:

$20\%\ of \ x=480$

⇒ $\frac{20}{100} \times x=480$

⇒ $0.20\times x=480$

⇒ $0.20x=480$

Dividing both sides by 0.20 we get:

⇒ $x=2400$ .

Total workers = 2400.

Now, in second way.

Again, let the total workers be $x$ .

According to question:

$x-80\%\ of\ x=480$

⇒ $x-\frac{80}{100}\times x=480$

On solving:

⇒ $x-0.80x=480$

⇒ $0.20x=480$

Dividing both sides by 0.20 we get:

⇒ $x=2400$ .

Total workers = 2400.

Therefore, the total workers are 2400.

7 0

3 years ago

An online music store offers 5 downloads for $6.25.Another online music store offers 12 downloads for $17.40.Which store offers

Anon25 [30]

Well, what you have to do is find the unit rate for each one of those prices and how you do that is by dividing each price by the downloads

so $6.25 divided by 5= $1.25

and then $17.40 divided by 12= $1.45

so that means the one with $6.25/5 downloads has a better deal!

3 0

3 years ago