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VladimirAG [237]
3 years ago
6

Math question need help solving this question !

Mathematics
1 answer:
barxatty [35]3 years ago
8 0

Answer:

x=30°

Step-by-step explanation:

Because of the given congruency,

Angle A = Angle D = 65°.

Angle C = 55°

Angle B = Angle E = 2x

Now, In Triangle ABC,

Angle A + Angle B + Angle C = 180°.

65° + 2x + 55° = 180°

120 + 2x = 180

2x = 60

x = 30°

HOPE IT HELPS!!!

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The length of a table is 8 times longer then it’s width. If the perimeter is 72, how wide is the table?
Andrews [41]

Answer:

4 units wide

Step-by-step explanation:

Let the width of the table be 'w'

Given:

Perimeter of the table is, P=72

The perimeter of the rectangular table is given as the sum of all the sides of the rectangle. The sides include two lengths and two widths.

Length of the table is 8 times longer than its width. Therefore,

Length,L=8w

Now, perimeter is given as:

P=2L +2w\\P=2(8w)+2w\\P=16w+2w\\P=18w\\w=\frac{P}{18}

Now, plug in 72 for 'P' and solve for 'w'. This gives,

w=\frac{P}{18}\\\\w=\frac{72}{18}\\\\w=4

So, the table is 4 units wide.

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What is the product of 84,90?
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Please help fast will give brainliest
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How would you divide 5.6 into five even pieces
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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
3 years ago
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