3 years ago

9

Mathematics

1 answer:

SSSSS [86.1K]3 years ago

4 0

Answer:

A. <em>x</em> = 3, <em>y</em> = 11

Step-by-step explanation:

Inserting these two numbers into the expressions, you get the numbers 9 and 7. These show that the triangles are congruent.

Hope it helps!

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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

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