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3 years ago

Find m∠RQS. Use the image below.

Mathematics

1 answer:

adell [148]3 years ago

4 0

Answer:

137

Step-by-step explanation:

The two angles form a straight line so they are supplementary or add to 180 degrees

2x+4 + 6x+20 = 180

Combine like terms

8x +24 = 180

Subtract 24 from each side

8x+24-24= 180-24

8x = 156

Divide each side by 8

8x/8 = 156/8

x = 19.5

We want to find PQS

PQS = 6x+20

= 6*19.5 +20

=117+20

=137

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suppose that incomes of families in Newport Harbor are normally distributed with a mean of $750,000 and a standard deviation of

denis23 [38]

Answer: 0.345

Step-by-step explanation:

Given : The incomes of families in Newport Harbor are normally distributed with Mean : $\mu=\$ 750,000$ and Standard deviation : $\sigma= $250,000$

Samples size : n=4

Let x be the random variable that represents the incomes of families in Newport Harbor.

The z-statistic :-

$z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

For x= $800,000

$z=\dfrac{800000-750000}{\dfrac{250000}{\sqrt{4}}}=0.4$

By using the standard normal distribution table , we have

The probability that the average income of these 4 families exceeds $800,000 :-

$P(x>80,000)=P(z>0.4)=1-P(z\leq0.4)\\\\=1-0.6554217=0.3445783\approx0.345$

Hence, the probability that the average income of these 4 families exceeds $800,000 =0.345

6 0

4 years ago

Arrange from least to greatest.<br> 5/6 2/4 5/12

Jet001 [13]

Answer:

5/6=10/12. 2/4=6/12. 5/12

5/12. 2/4. 5/6

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3 years ago

Look at the photo plz !!

sergejj [24]

Answer:

11 0ver 54

Step-by-step explanation:

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3 years ago

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kirill [66]

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3 years ago

many elevators have a capacity of 2000 pounds, if a child averages 50 pounds and an adult averages 150 pounds, write an inequali

Brums [2.3K]

$50x + 150y = 2000$

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3 years ago