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Andru [333]
3 years ago
5

On a test, mean score was 70 and the standard deviation of the scores was 15.

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
8 0

Answer:

P(x\:

Step-by-step explanation:

To  find the probability that a randomly selected test taker scored below 50, we need to first of all determine the z-score of 50.

The z-score for a normal distribution is given by:

z=\frac{x-\bar x}{\sigma}.

From the question, the mean score is \bar x=70, the standard deviation is, \sigma=15, and the test score is x=50.

We substitute these values into the formula to get:

 z=\frac{50-70}{15}.

 z=\frac{-20}{15}=-1.33.

We now read the area that corresponds to a z-score of -1.33 from the standard normal distribution table.

From the table, a z-score of -1.33 corresponds to and area of 0.09176.

Therefore the probability that a randomly selected test taker scored below 50 is P(x\:

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Solve the system of linear equations by graphing <br> y=1/3x+5<br> y=2/3x+5<br> What is the solution
Tamiku [17]

Answer:

We have the system of equations:

y=1/3x+5

y=2/3x+5

To solve it graphically, we need to graph both lines and see in which point the lines intersect.

You can see the graph below, and you can see that the lines intersect in the point (0, 5)

Now, we can also solve this analytically.

We can use the fact that for the solution, we need y = y.

Then we can write:

(1/3)*x + 5 = (2/3)*x + 5

First, we can subtract 5 in both equations to get:

(1/3)*x = (2/3)*x

This only has a solution when x = 0.

Replacing x = 0 in one of the equations, we get:

y = (1/3)*0 + 5 = 5

Then the solution is x = 0, and y = 5, as we already could see in the graph.

3 0
2 years ago
How many composite number between 1 and 50
Kamila [148]

Step-by-step explanation:

There are 34 composite numbers between 1 to 50 which are as follows: 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50.

5 0
3 years ago
Solve for x and y. What is m
irina [24]
3x + 2y + y - 3x = 180

3y = 180

y = 180/3

y = 60

3x = y - 3x

Let y = 60

3x = 60 - 3x

3x + 3x = 60

6x = 60

x = 60/6

x = 10

Answer: x = 10, y = 60
4 0
3 years ago
X and y intercepts of -3x+4y=-36
Andrews [41]
X intercept is 12
Y intercept is 9.
To find answer just cover up the one you don't want.
For x it would be -3x=-36
For y it would be 4y=-36
8 0
3 years ago
Your welcome. enjoy ur day :)
Nat2105 [25]
Thank you!!! enjoy yours
4 0
3 years ago
Read 2 more answers
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