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sdas [7]
2 years ago
12

What is 8.47 L x 10?

Mathematics
1 answer:
fenix001 [56]2 years ago
7 0
84.7 L, you just move the number places up once if it is times 10
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A small business owner estimates his mean daily profit as $970 with a standard deviation of $129. His shop is open 102 days a ye
Katena32 [7]

Answer:

The probability that the shopkeeper's annual profit will not exceed $100,000 is 0.2090.

Step-by-step explanation:

According to the Central Limit Theorem if we have a population with mean <em>μ</em> and standard deviation <em>σ</em> and we select appropriately huge random samples (<em>n</em> ≥ 30) from the population with replacement, then the distribution of the sum of values of <em>X</em>, i.e ∑<em>X</em>, will be approximately normally distributed.  

Then, the mean of the distribution of the sum of values of X is given by,  

 \mu_{x}=n\mu

And the standard deviation of the distribution of the sum of values of X is given by,  

 \sigma_{x}=\sqrt{n}\sigma

The information provided is:

<em>μ</em> = $970

<em>σ</em> = $129

<em>n</em> = 102

Since the sample size is quite large, i.e. <em>n</em> = 102 > 30, the Central Limit Theorem can be used to approximate the distribution of the shopkeeper's annual profit.

Then,

\sum X\sim N(\mu_{x}=98940,\ \sigma_{x}=1302.84)

Compute the probability that the shopkeeper's annual profit will not exceed $100,000 as follows:

P (\sum X \leq  100,000) =P(\frac{\sum X-\mu_{x}}{\sigma_{x}}

                              =P(Z

*Use a <em>z</em>-table for the probability.

Thus, the probability that the shopkeeper's annual profit will not exceed $100,000 is 0.2090.

6 0
2 years ago
I NEED HELP!!! has endpoints X(7, 10) and Y(5, –8). Find the coordinates of the midpoint of .
Firlakuza [10]

The formula of a midpoint between X and Y:

M_{XY}\left(\dfrac{x_X+x_Y}{2},\ \dfrac{y_X+y_Y}{2}\right)

We have the points X(7, 10) and Y(5, -8). Substitute:

\dfrac{7+5}{2}=\dfrac{12}{2}=6\\\\\dfrac{10+(-8)}{2}=\dfrac{2}{2}=1

<h3>Answer: (6, 1)</h3>
7 0
3 years ago
4 times a number added to -5 is the same as the sum of twice the number and 11. What is the number?
Alexus [3.1K]
Let x = the number you need to find.

4x + (-5) = 2x + 11

You finish.
4 0
3 years ago
7/8 square foot in 1/4 hour
kolezko [41]

Answer:

2 1/2

Step-by-step explanation:

6 0
3 years ago
Easy math for smart people problem: 5(2d+4)=35
Likurg_2 [28]

Answer:

3/2 (decimals): 1.5

Step-by-step explanation:

1. 5(2d+4)=35 -> multiply 5 to (2d+4)

2. 10d + 20 = 35

3. Subtract 20 by both sides

10d = 35-20

10d = 15

4. divide 10 by both sides

d = 15/10

d = 3/2

6 0
2 years ago
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