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suter [353]
2 years ago
13

On a standardized exam, the scores are normally distributed with a mean of

Mathematics
1 answer:
Vedmedyk [2.9K]2 years ago
5 0

The z-score of the person who scored 178 on the exam is fund as 2.8.

<h3>What is defined as the normally distribution?</h3>
  • The proper term for just a probability bell curve is the normal distribution.
  • The mean of a normal distribution is zero, as well as the standard deviation is one. It has a skew of 0 and a kurtosis of 3.
  • However all symmetrical distributions are normal, not all normal distributions are symmetrical.
  • Many naturally occurring phenomena resemble the normal distribution.
  • However, most pricing distributions in finance are not perfectly normal.

For the given question,

Mean μ = 150

Standard deviation σ = 10

Observed value x = 178.

The z-score is calculated as;

z = (x - μ)/σ

z = (178 - 150)/10

z = 28/10

z = 2.8

Thus, the z-score of the person who scored 178 on the exam is fund as 2.8.

To know more about the normally distribution, here

brainly.com/question/23418254

#SPJ13

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Please important answer, as soon as possible I will thank you and mark as brainlist
denis23 [38]
10:12
15:18
i got this from doubling the first to make 5 = 10 and then that made 6 = 12. the second one was the same but tripled to make 6 = 18 and then that made 5 = 15
3 0
4 years ago
Andre is in charge of cooking brócoli and zucchini for a large group he had to spend all 17$ he has and Cary 10 pounds of veggie
nataly862011 [7]

Answer:

This is an example of equation with two unknowns. Andre bought x pounds of zucchini and y pounds of broccoli and we also know that there was 10 pounds of veggies in total. So, we can write:

$1.5 • x + $2 • y = $17

x + y = 10

From the second equation we can say that:

y = 10 - x

We can now enter this value of y into the first equation:

1.5 • x + 2 • (10-x) = 17

1.5 • x + 20 - 2 • x = 17

1.5x - 2x = 17 - 20

-0.5x = -3

0.5x = 3

x = 6

If x=6, then y=10-6, which is 4.

That means that Andre bought 6 pounds of zucchini and 4 pounds of broccoli.

7 0
4 years ago
The area of a rectangular playground is 78 square meters. If the length of the playground is 13 meters, what is its width?
aleksley [76]

Answer: It’s 6 meters

Step-by-step explanation:

if we know the area and the length we need to divide the two to get the width.

78 divided by 13. = 6

7 0
3 years ago
Rosie bought a puppy. She weighed it for 2 months. The first month it weighed 2 1/2 pounds. Then she weighed it again the next m
Dvinal [7]
The puppy weights 3.75 pounds now
3 0
3 years ago
Three vertices of a parallelogram are shown in the figure below.
a_sh-v [17]

Given:

The three vertices of the parallelogram are (-3,9), (0,-3), (6,-6).

To find:

The fourth vertex of the parallelogram.

Solution:

Consider the three vertices of the parallelogram are A(-3,9), B(0,-3), C(6,-6).

Let D(a,b) be the fourth vertex.

Midpoint formula:

Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)

We know that the diagonals of a parallelogram bisect each other. So, the midpoints of both diagonals are same.

Midpoint of AC = Midpoint BD

\left(\dfrac{-3+6}{2},\dfrac{9+(-6)}{2}\right)=\left(\dfrac{0+a}{2},\dfrac{-3+b}{2}\right)

\left(\dfrac{3}{2},\dfrac{3}{2}\right)=\left(\dfrac{a}{2},\dfrac{-3+b}{2}\right)

On comparing both sides, we get

\dfrac{3}{2}=\dfrac{a}{2}

3=a

And,

\dfrac{3}{2}=\dfrac{-3+b}{2}

3=-3+b

3+3=b

6=b

Therefore, the fourth vertex of the parallelogram is (3,6).

7 0
3 years ago
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