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Reil [10]
3 years ago
15

State the properties of the Normal Probability Distribution in own word.

Mathematics
1 answer:
dybincka [34]3 years ago
4 0

Answer:

he mean, mode and median are all equal. The curve is symmetric at the center (i.e. around the mean, μ). Exactly half of the values are to the left of center and exactly half the values are to the right. The total area under the curve is 1.

Step-by-step explanation:

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Write a function rule for the table
jeka57 [31]
The correct answer is B.

Find the slope using the formula m= y2-y1 / x2-x1. You will get 11.50/2, which is p = $5.75 per hour.
6 0
3 years ago
in 2012, the population of a city was 63,000. by 2017, the population was reduced to approximately 54,100. identify any equation
Akimi4 [234]

Answer:

<em></em>f(x) = 63000(0.97)^x<em></em>

<em></em>

Step-by-step explanation:

Given

f(0) = 63000 ---x = 0, in 2012

f(5) = 54100 -- x = 5, in 2017

Required

Select all possible equations

Because there is a reduction in the population, as time increases; the rate must be less than 1.

An exponential function is represented as:

f(x) = ab^x

Where

b = rate

rate > 1 in options (a) and (b) i.e. 1.03

This implies that (a) and (b) cannot be true

For option (c), we have:

f(x) = 63000(0.97)^x

Set x = 0

f(0) = 63000(0.97)^0 = 63000*1=63000\\

Set x = 5

f(5) = 63000(0.97)^5 = 63000*0.8587=54098.1 \approx 54100

<em>This is true because the calculated values of f(0) and f(5) correspond to the given values</em>

For option (d), we have:

f(x) = 52477(0.97)^x

Set x = 0

f(0) = 52477(0.97)^0 - 52477* 1 = 52477

<em>This is false because the calculated value of f(0) does not correspond to the given value</em>

For option (e), we have:

f(x) = 63000(0.97)^\frac{1}{5x}

Set x = 0

f(0) = 63000(0.97)^\frac{1}{5*0} = 63000(0.97)^\frac{1}{0} =undefined

<em>This is false because the f(x) is not undefined at x = 0</em>

For option (f), we have:

f(x) = 52477(0.97)^{5x

Set x = 0

f(0) = 52477(0.97)^{5*0} = 52477(0.97)^0 =52477*1= 52477

<em>This is false because the calculated value of f(0) does not correspond to the given value</em>

<em>From the computations above, only (c) </em>f(x) = 63000(0.97)^x<em> is true</em>

4 0
3 years ago
Find the mean of the following data set. 8, 5, 15, 12, 10 12.5 10 14 50
cluponka [151]

Answer:

10

Step-by-step explanation:

8+5+15+12+10= 50 / 5 = 10

7 0
3 years ago
You make a large bowl of salad to share with your friends. Your brother eats 1/3 of it before they come over. You want to divide
shepuryov [24]
Divide 1/3 by 6 and there is your answer
6 0
3 years ago
Elenas bed measures 3‘ x 6‘ on the scale drawing what are the actual measurements of her bed
Sonbull [250]

Using proportions, supposing a scale of 1 inch = 3 feet, the actual measurements of her bed are given by: 9 ft x 18 ft.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using basic arithmetic operations such as multiplication or division, from the relations built in the problem.

One example of application of proportions is for scale problems, as the actual scale and the drawing length are compared to find the actual length of the object drawn.

In the context of this problem, the scale is given by:

1 inch = 3 feet.

The drawn length of the bed is given by:

3 inches x 6 inches.

Hence the actual length is given by:

9 feet x 18 feet.

As:

  • 3 x 3 = 9.
  • 6 x 3 = 18.

<h3>What is the missing information?</h3>

The scale of the drawing is missing, hence we are going to suppose that it is 1 inch = 3 feet.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

4 0
1 year ago
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