MATHEMATICS MIDDLE SCHOOL

In a normal distribution, a data value located 0.8 standard deviations below the mean has Standard Score: z = In a normal distribution, a data value located 2.4 standard deviations above the mean has Standard Score: z =

In a normal distribution, the mean has Standard Score: z =

Answers

Answer 1
Answer:

Using the normal distribution, it is found that the z-scores are:

1) z = -0.8

2) z = 2.4

3) z = 0

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = (X - \mu)/(\sigma)

  • It measures how many standard deviations the measure is from the mean, either above the mean(positive z-score), or below(negative z-score).

Item 1:

0.8 standard deviations below the mean, hence z = -0.8.

Item 2:

2.4 standard deviations above the mean, hence z = 2.4.

Item 3:

The mean is 0 standard deviations from itself, hence z = 0.

A similar problem is given at brainly.com/question/24663213
Answer 2
Answer:

Final answer:

A standard score (z-score) signifies how many standard deviations a data point is away from the mean. A data value 0.8 standard deviations below the mean has a z-score of -0.8, meanwhile, if it is 2.4 standard deviations above the mean, its z-score is 2.4. The mean in a normal distribution has a z-score of 0.

Explanation:

In the field of statistics, a standard score (also known as a z-score) represents how many standard deviations an element is from the mean. In a normal distribution, a data value located 0.8 standard deviations below the mean has a Standard Score: z = -0.8. This is because the z-score is negative when the data value is below the mean. Conversely, a data value located 2.4 standard deviations above the mean has a Standard Score: z = 2.4. As the data value is above the mean, the z-score is positive. Finally, for the mean value itself in a normal distribution, the Standard Score: z = 0 because the mean value is the center of distribution, hence no deviation from itself.

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Which of the following shows a relationship of 4,000 as ten times greater than 400a. 44,935
b. 24,941
c.94,465
d. 86,442

Answers

I think the ANWSER might be a not because 400 times 10 is 4000 then if multiply it again by 10 it's 40,000 which is closest 44,935 so a

The scale of a square map indicates that each inch on the map corresponds to 5 miles. Write an expression that describes the area of land shown on the map. If the map is 8 inches on one side, what is the area of land shown on the map.

Answers

If x is the number of inches then the area is A = (5x)^2
So if x is 8 the area is (5*8)^2 = 1600 square miles

Assume you invest $250 for 5.25 years at a rate of 3.25%.How much interest will you earn? What is your final
amount?

Answers

Hope it will help u.........

An owner of a small store knows that in the last week 54 customers paid with cash, 42 paid with a debit card, and 153 paid with a credit card. Based on the number of customers from last week, which fraction is closest to the probability that the next customer will pay with cash?

Answers

Based on the number of customers from last week, the fraction is closest to the probability that the next customer will pay with cash is 54/249

How to get population mean?

Suppose population is wide and you cannot evaluate all the population at once. Then you do sampling of large enough size randomly. The mean of that sample will be then the estimate for the mean that population will pertain.

What is experimental probability?

Experimental probability calculates the probability of some event from the results of experiments.

For an event E, we get the experimental probability of that event

P_e(E) = \frac{\text{Number of times E occurred}}{\text{Number of times experiments was done}}

where, P_e(E) is denoting experimental probability of occurrence of E.

Here, the customers are not all known to us, they are population.

But we have some data of the previous customer. Taking them as the sample, we have:

Experimental probability of an event from sample = Predicted probability for that event in population.

For this case, from the previous data, we have:

  • 54 customers paid with cash
  • 42 customers paid with debit card
  • 153 customers paid with a credit card.

Total customers who paid = 153 + 42 + 54 = 249

Total customers who paid with cash = 54

Thus, if we take:

E = event that a customer pays with cash, then:

P_e(E) = (54)/(249)

This is the probability deduced from the previous data that the next customer will pay with cash.

Thus, based on the number of customers from last week, the fraction is closest to the probability that the next customer will pay with cash is 54/249

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You would add 54+42+153=249 to find the total amount of customers from the previous week. Then you would divide 54/249= 0.2168 to find the amount of customers that used cash to total customers. The closest fraction would be about 1/5. 

Solve 100 divided by 5 x 4 + 4³

Answers

Answer:

100 /( 5 x 4 + 4³) = 1 4/21  

100 / 5 x 4 + 4³ = 144

Step-by-step explanation:

100 /( 5 x 4 + 4³)

PEMDAS tells us to do what is inside the parenthses

We will do the power in side the parentheses first  4^3 = 64

100 /( 5 x 4 + 64)

Now we will multiply

100/(20+64)

Now we add inside the parentheses

100/84

Divide the top and bottom by 4

25/21

Changing from an improper fraction to a mixed number

1 4/21

OR  

100 / 5 x 4 + 4³

If the quantity is not in parentheses

We will do the power  first  4^3 = 64

100 / 5 x 4 + 64

Then we do the multiplication and division from left to right

20 *4+64

80+64

144

Answer:

144

Step-by-step explanation:

4 x 4 x 4 = 64

100/5 = 20

20 x 4= 80

80 + 64 =144

What is the solution to the equation?
1/8 = m/32

Answers

The solution of the equation 1/8 = m/32 will be;

⇒ m = 4

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 1/8 = m/32

Now,

Solve the equation for m as;

The expression is,

⇒ 1/8 = m/32

Multiply by 32 both side, we get;

The expression is,

⇒ 32/8 = 32m/32

⇒ 4 = m

⇒ m = 4

Thus, The solution of the equation 1/8 = m/32 will be;

⇒ m = 4

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Answer:

m=4

Step-by-step explanation:

1/8=m/32

cross product

8*m=1*32

8m=32

m=32/8

m=4
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