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GenaCL600 [577]
3 years ago
15

Explain the relationship between angle W and angles X and Y.

Mathematics
1 answer:
Dmitrij [34]3 years ago
5 0

Answer: w is equal to the sum of angles x and y. (W=x+y)

Step-by-step explanation:

The exterior angle of a triangle (in this case w) is equal to the sum of the two remote interior angles of the triangle (in this case angles x and y)

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The U.S. Department of Housing and Urban Development publishes data on the fair market monthly rent for existing one-bedroom hou
Aleksandr [31]

Answer:

n=(\frac{1.960(80)}{25})^2 =246.73 \approx 247

So the answer for this case would be n=247 rounded up to the nearest integer

Step-by-step explanation:

We know that the standard deviation is :

\sigma = 80 represent the deviation

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (a)

And on this case we have that ME =25 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

The critical value for 95% of confidence interval now can be founded using the normal distribution and the critical value would be z_{\alpha/2}=1.960, replacing into formula (b) we got:

n=(\frac{1.960(80)}{25})^2 =246.73 \approx 247

So the answer for this case would be n=247 rounded up to the nearest integer

8 0
3 years ago
The most common ages of children that use the library are
Nady [450]

Answer:

12-17

Step-by-step explanation:

this is right. trust (:

7 0
3 years ago
URGENT HELP NEEDED dawg ITS DUE IN 5 MIN can someone help with deal 2? A pizza restaurant offers the following deals. Deal #1 $8
WARRIOR [948]

Answer: Deal one: y = 8.99x + 5 Deal two: y = 6

Step-by-step explanation: I'm not quite sure how you want the equation, but I hope this helps.

6 0
2 years ago
Ifteen bales of hale were loaded into a truck. Some of the bales weight 150 pounds, and some weighed 100 punds. Hpw many bales o
horrorfan [7]

Answer:

<em> There are 7 bales of 100 pounds and 8 bales of 150 pounds hale</em>

Step-by-step explanation:

Let the amount of bale of 100 pounds be x and the bale of hale of 150pounds be y

If fifteen bales of hale were loaded into a truck, then x+y = 15 ... 1

Also if some of the bales weight 150 pounds, and some weighed 100 pounds with total weight of pounds to be 1900 pounds, then mathematically;

150y + 100x = 1900

Dividing through by 100;

1.5y+x = 19 ..... 2

Solving equation 1 and 2 simultaneously;

x+y = 15 ... 1

1.5y+x = 19 .... 2

Subtracting 1 from 2

y-1.5y = 15-19

-0.5y = -4

Divide both sides by 0.5

-0.5y/-0.5 = -4/-0.5

y = 8

Substituting y = 8 into equation 1, we will have;

x+y = 15

x+8 = 15

x = 15-8

x = 7

<em>Hence there are 7 bales of 100 pounds and 8 bales of 150 pounds hale</em>

<em></em>

6 0
3 years ago
GeorgeIs holding a card with the number 66 written on it this card is the LCM of six and another number the other number is betw
satela [25.4K]

Answer:

The other number is 22.

Step-by-step explanation:

66 is the lowest common multiple of 6 and a number between 15 and 25.

The numbers between 15 and 25 include 16, 17, 18, 19, 20, 21, 22, 23 and 24.

Of all these numbers between 15 and 25, only 22 can divide 66 without a remainder.

And conveniently, the lowest common multiple of 6 and 22 is 66.

Hence, the other number is evidently 22.

Hope this Helps!!!

4 0
3 years ago
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