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sladkih [1.3K]
3 years ago
10

Enter the answer to the nearest tenth. Another home business has an average income of $1.200.00 per month with a standard deviat

ion of $100.00. If the income in a given month is $1,030.00, what z-score corresponds to this value?
1 0

-1.5

-1.7

the answer is D.-1.7
Mathematics
1 answer:
Nonamiya [84]3 years ago
5 0

Answer: -1.7

Step-by-step explanation:

Given : Another home business has an average income of $1.200.00 per month with a standard deviation of $100.00.

i.e.\mu=\$1200.0

\sigma=\$100.00

Let x represents the monthly income.

Since . z=\dfrac{x-\mu}{\sigma}

For x= 1030 , we have

z=\dfrac{1030-1200}{100}=-1.7

Hence, the required z-score = -1.7

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Find the 30th term of the following sequence. 1, 7, 13, 19, ...
postnew [5]

Answer:

175

Step-by-step explanation:

a30 = a1 + f × (n-1)

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8 0
3 years ago
Find the smallest positive integer solution to the following system of congruences: x = 0 (mod 5) x = 8 (mod 11) The solution is
igomit [66]

Answer:

The smallest positive integer solution to the given system of congruences is 30.

Step-by-step explanation:

The given system of congruences is

x=0(mod5)

x=8(mod11)

where, m and n are positive integers.

It means, if the number divided by 5, then remainder is 0 and if the same number is divided by 11, then the remainder is 8. It can be defined as

x=5m

x=11n+8

5m\cong 11n+8

Now, we can say that m>n because m and n are positive integers.

For n=1,

5m=11(1)+8=19

5m=19

19 is not divisible by 5 so m is not an integer for n=1.

For n=2,

5m=11(2)+8

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m=6

The value of m is 6 and the value of n is 2. So the smallest positive integer solution to the given system of congruences is

x=5(6)=30

Therefore the smallest positive integer solution to the given system of congruences is 30.

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Verdich [7]

Answer:

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Step-by-step explanation:

If you are struggling with this here's a tip!

-18+-6 is what you are trying to solve

The 6 is negative, so get rid of the plus sign -18-6

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Answer:

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Step-by-step explanation:

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