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MAVERICK [17]
3 years ago
14

The weekly incomes of a large group of executives are normally distributed with a mean of $2,000 and a standard deviation of $10

0. what is the z-score for an income of $2,100? g
Mathematics
1 answer:
cestrela7 [59]3 years ago
6 0

Let X be the weekly incomes of a large group of executives. The weekly incomes of a large group of executives follows Normal distribution with mean $2000 and standard deviation $100.

μ =2000, σ =100

We have to find z score for income $2100 i.e x=2100

Z = \frac{x-mean}{standard deviation}

= \frac{2100 - 2000}{100}

Z = 100/100

Z = 1

The z score for income $2100 is 1

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We have two questions, but we need to find the volume of the spherical tank first.
So the formula we will use to find the volume is:
(4/3)πr³=V
Let's fill in the information we have and solve. We will be using 3.14 for pi.
(4/3)(3.14)6³
(4/3)(3.14)(216)
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I'll be using the repeating decimal for 4.1867, I rounded to 7, but there is a repeating 6.
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So the volume is 904.32 yards³ (or 904.78 if using the full pi)
We have to multiply the volume by 7.15.
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24 ft long

Step-by-step explanation:

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Ellie is ordering hot dogs for her son's birthday party. Each hot dog cost $1.50. For orders smaller than a dozen hot dogs, ther
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X^2 - y^2 = 100
luda_lava [24]

Answer:

20

Step-by-step explanation:

Let's start by rewriting the second equation in terms of "x":

x+y=5

Subtract y from both sides:

x=5-y

Now, substitute "5-y" for "x" in the first equation:

(5-y)^2-y^2=100

Note that:

(a-b)^2=a^2-2ab+b^2

25-10y+y^2-y^2=100

Cancel out like terms:

25-10y=100

Subtract 25 from both sides:

-10y=75

Divide both sides by -10

y=\frac{75}{-10}=\frac{15}{-2}=-\frac{15}{2}

Now, substitute this value back into either of the equations to solve for x.

x+y=5\\x-\frac{15}{2}=5\\

Add 15/2 to both sides:

x=5+\frac{15}{2}\\x=\frac{10}{2}+\frac{15}{2}\\x=\frac{25}{2}

Now, find the difference:

x-y=\frac{25}{2}-(-\frac{15}{2})=\frac{25}{2}+\frac{15}{2}=\frac{40}{2}=20

8 0
2 years ago
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