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hjlf
3 years ago
15

Which of the following statements about the image below is true?

Mathematics
1 answer:
dezoksy [38]3 years ago
3 0

Answer:

option b and d are answers

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M Find the measure of each angle.
Illusion [34]

Answer:

Step-by-step explanation:

According the Triangle sum theorem:

m<T + m<U + m<V =180

x + 2x + x + 80 = 180

solve: x=25

Therefore m<T = 25, m<U = 50, and m<V = 105

4 0
3 years ago
The jar only contains nickels and dimes altogether there are 10 coins total of the value is 90 cents how many nickels and how ma
lilavasa [31]
Write a system of equations and solve.

x + y = 10
5x + 10y = 90

Multiply and combine equations

-5x - 5y = -50
5x + 10y = 90
------------------
5y = 40
y = 8
x = 2

There are 2 nickels and 8 dimes in the jar. Hope this helps! :)
3 0
2 years ago
LAM 1 Mod 6 Question 4b-s2.
irakobra [83]

Answer:

there is one line of symmetry if you look closely at the shape

8 0
2 years ago
Pls help asap!!!!!!!!
Tcecarenko [31]
M < PQS + m < RQS = 180° because they are supplementary angles.

Therefore:
(3x + 3) + (x + 19) = 180

3x — 3 + x + 19 = 180

4x + 16 = 180

Subtract 16 from both sides

4x — 16 = 180 — 16

4x = 164

Divide both sides by 4:

4x/4 = 164/4

x = 41

Therefore, the correct answer is x = 41
6 0
2 years ago
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
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