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andrezito [222]
3 years ago
10

Find the value of x in the following triangle

Mathematics
1 answer:
seropon [69]3 years ago
5 0
61 + 86 = 147

180 - 147 = 33

x = 33

the interior sum of angles is equal to 180 , in order to find x you would use the already established values of two corners and find the missing value
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A circle has its center at the origin, and (5, -12) is a point on the circle. How long is the radius of the circle?
aivan3 [116]
Hello here is a solution :
<span> the radius of the circle is OA        A(5;-12) and O (0;0)
OA= </span><span>  square root ((5-0)² + (-12-0)²) 
</span>     = <span>  square root (25+144) 
</span>     = <span>  square root(169)
</span> OA = 13

7 0
3 years ago
Read 2 more answers
It is found that on average, 9% of the population recycles its garbage. Under this assumption, if a random sample of 120 househo
BartSMP [9]

Complete Question

It is found that on average, 9% of the population recycles its garbage. Under this assumption, if a random sample of 120 households in Iowa City is taken, would you be surprised to find that fewer than 3% of households in the sample recycle their garbage? Use the fact that p-hat has an approximately normal distribution.

Group of answer choices

A I would not be surprised because there are lots of lazy students in Iowa City.

B I would not be surprised because 3% is not that far away from 9%.

C I would be surprised because Iowa City is a very clean community which means lots of people recycle their garbage.

D I would be surprised because if the 9% average is true, the chance of a sample proportion being less than 3% is very small (only 1%). Who cares? It's only garbage!

Answer:

The correct option is D

Step-by-step explanation:

From the question we are told that

    The sample size is  n  = 120

    The  mean of the proportion is  p =  0.09

   

Generally the standard deviation is mathematically represented as

      \sigma  =  \sqrt{\frac{p(1-p)}{n} }

=>   \sigma  =  \sqrt{\frac{0.09(1-0.09)}{120 } }

=>   \sigma  = 0.02612

Generally the chance that fewer than 3%   of households in the sample recycle their garbage is mathematically represented as

    P(X < 0.03) =  P( \frac{X - p}{\sigma}  <  \frac{0.03 -0.09}{0.02612} )

    P(X < 0.03) =  P( Z  < -2.297 )

From the z-table  

     P( Z  < -2.297 ) = 0.01

=> [tex]P(X < 0.03) = 0.01/tex]

=>   [tex]P(X < 0.03) = 1\% /tex]

4 0
2 years ago
Which unit would you most likely use to represent the time it takes to drive to your friend's house, which is five miles from yo
Leokris [45]

Answer:

C. minutes

Step-by-step explanation:

8 0
2 years ago
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A technician charges $25 per hour plus $50
solmaris [256]
Use a variable to represent the number of hours the technician will work, plus the $50.

50+25x
This would be the expression used to find the amount of money the technician needs.
7 0
3 years ago
If you know the names of the remaining nine students in the spelling​ bee, what is the probability of randomly selecting an orde
rjkz [21]
The probability of getting the correct order in the spelling bee is 1 chance in 362,880.

This is a permutation problem. Our goals is to find the total number of ways that the 9 students can be ordered.

For the first spot there are 9 choices, then 8 choices, then 7 choices....

We need to evaluate:
9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 362,880

Another way to write this is: 9!
8 0
3 years ago
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