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Mumz [18]
3 years ago
14

The sum of four numbers is 20 and their average is 5. When a fifth is added, the new average is 6. What is the fifth number?

Mathematics
2 answers:
ipn [44]3 years ago
8 0

Answer:

10

Step-by-step explanation:

We'll note the numbers as x_{n}, x_{n+1} ...

x_1 + x_2 + x_3 + x_4 = 20\\Avg = 5\\\frac{x_1 + x_2 + x_3 + x_4 + x_5 }{5} = 6 = \frac{20 + x_5}{5}\\ 4 + \frac{x_5}{5} = 6\\\\frac{x_5}{5} = 2\\\x_5 = 10

Mama L [17]3 years ago
3 0

Answer:

10.

Step-by-step explanation:

The average of the 5 numbers =

(20 + x) / 5 = 6  where x is the 5th number.

20 + x = 30

x = 10

The fifth number is 10.

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4)In order to set rates, an insurance company is trying to estimate the number of sick daysthat full time workers at an auto rep
bagirrra123 [75]

Answer:

A sample of 18 is required.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.92}{2} = 0.04

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a pvalue of 1 - 0.04 = 0.96, so Z = 1.88.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

A previous study indicated that the standard deviation was 2.2 days.

This means that \sigma = 2.2

How large a sample must be selected if the company wants to be 92% confident that the true mean differs from the sample mean by no more than 1 day?

This is n for which M = 1. So

M = z\frac{\sigma}{\sqrt{n}}

1 = 1.88\frac{2.2}{\sqrt{n}}

\sqrt{n} = 1.88*2.2

(\sqrt{n})^2 = (1.88*2.2)^2

n = 17.1

Rounding up:

A sample of 18 is required.

3 0
3 years ago
22) Use the expression 5x + 3 + 2y + x
Katena32 [7]
A. 5x and 2y
B. 3 and x
C. 5x and x
D. 4
8 0
3 years ago
Read 2 more answers
Ship A receives a distress signal from the southwest, and ship B receives a distress signal from the same vessel from the north.
mylen [45]
G=t negative 320+f5 t=b

6 0
3 years ago
Express 3500 in scientific notation that indicates it has two significant digits
arsen [322]

Hey there!

“3500 in scientific notion”

In order for you to find out your answer you have to move your decimal THREE places to your left. If you solve this, you should’ve gotten: 3.500

The “00” in the result we received is invisible so we don’t have to worry about right now in the equation to solve for your answer

Solve what you have ⬆️ ..

Answer: 3.5 × 10³

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

6 0
2 years ago
The area of a square photo is 9 square inches how long is each side of the photo
Marta_Voda [28]
Let the side of each side of photo is a inch.

So area of photo = (side)^2 = a^2

But as given area of photo is 9 square inch.

So a^2 = 9

a =  \sqrt{9}
          = 3

So side of photo is 3 inch.
3 0
3 years ago
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