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attashe74 [19]
3 years ago
15

A home business has an average income of $900.00 per month with a standard deviation of $15.00. If the income in a given month i

s $930.00, what z-score corresponds to this value?
Mathematics
1 answer:
Llana [10]3 years ago
3 0
Answer = 2.00

Z score is a statistical that corresponds to the standardization of the regular score to a normal distribution

The formula for Z score is Z = [X - mean ]./ (standard deviation)

Here X = 930.00; mean = 900.00; and standard deviation = 15.00

Then, Z = [930.00 - 900.00] / 15.00 = 30.00 / 15.00 = 2.00

Therefore, your answer is 2.00

Hope I helped :)
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What is the value of x for 7x - 12 y = 180 / 7x = 84
katrin2010 [14]

eq^2: 7x=84 divide 84 by 7 which is 12.

therefore x is equal to 12. Then

1) take that 12 you got in equation 2 and substitute in equation 1 which is:

7x-12y=180

7(12)-12y=180

84 -12y=180

-12y=180-84

-12y=96 ............divide both sides with -12

-y=8 (×-1) both sides

y= -8

therefore 7(12)-12(-8)=180

5 0
3 years ago
What is the area?<br> 2 yd<br> 8 yd<br> 5 yd
MrRissso [65]

Answer:

28

Step-by-step explanation:

I assume the polygon is a trapezoid with parallel bases of 2 yd and 5 yd, and an altitude of 8 yd.

area of trapezoid = (base1 + base2)h/2

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2 years ago
Find the sum of the given arithmetic series. 24 + 48 + 72 + 96 +...+ 480
Alja [10]

Answer:

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Step-by-step explanation:

The given series is :

24 + 48 + 72 + 96 +...+ 480

The first term, a= 24

Common difference, d = 24

The last term, a_n=480

Let there are n terms in the AP.

So,

a_n=a+(n-1)d\\\\480=24+(n-1)24\\\\480=24+24n-24\\\\n=20

There are 20 terms in the series. The sum of 20 terms is :

S_{20}=\dfrac{n}{2}(2a+(n-1)d))\\\\=\dfrac{20}{2}\times (2(24)+19(24))\\\\=5040

So, the sum of the given arithmetic series is equal to 5040.

8 0
3 years ago
If
Kamila [148]

Answer Interest rate = 12.3%

The compound interest formula is given by:

Where

A = Future amount

P = Present amount (Principal amount)

r = Interest rate in decimal form

n = No. of times compounded per year

t = time in years.

We can say that if:

Present amount = P

Future amount = 3P

r = 12.3/100 = 0.123

n = 1

t = ?

Substitute the values in the formula of compound interest:

Taking log on both sides.

Round off to nearest option

t ≅ 9 years

8 0
2 years ago
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Harrizon [31]
Well the first problem that i solve is you have to move 12 it will give you 
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