What is the total of p,t, and d

Scores on a certain intelligence test for children between ages 13 and 15 years are approximately normally distributed with μ=10

Tanya [424]

Answer:

a) 0.7734

Step-by-step explanation:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 101, \sigma = 24$

(a) what proportion of children aged 13 to 15 years old have scores on this test above 83 ?

This is 1 subtracted by the pvalue of Z when X = 83. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{83 - 101}{24}$

$Z = -0.75$

$Z = -0.75$ has a pvalue of 0.2266

1 - 0.2266 = 0.7734

The answer is 0.7734

5 0

3 years ago

If JK and LM are parallel which statements are true? select all that apply.

ruslelena [56]

your answers are C, D, F. if JK and LM are parallel they do not intersect and will not intersect.

5 0

3 years ago

Reduce To Simplest Form. 2/2 + 1.75 - 44/25 =

Soloha48 [4]

Answer/Step-by-step explanation:

First, we should make each fraction, decimal, whole number into fraction and number form.

So, 2/2 = 1.

1.75 is 1 3/4.

44/25 is 1 19/25.

Now we have our equation, now we can do this equation easier.

1 + 1 3/4 - 1 19/25.

1 + 1 3/4 = 2 3/4.

Then, we turn both numbers to Decimal Form.

2 3/4 = 2.75

1 19/25 = 1.76.

When we divide 19 by 25, we get 0.76.

Then we subtract the decimals.

We should start right and end left.

5 - 6 = -1, we need to borrow one from the closest digit to the left, which is 7. Now we have 15 - 6 = 9.

Next, we have 6 - 7 = -1, we need to borrow one from the closest digit to the left, which is 2. Now we have 16 - 7 = 9.

Our answer right now is 0.99.

Lastly, 1 - 1 = 0.

Which leaves us with the answer: 0.99 (Zero and Ninety Nine Hundredths.)

Best of Luck to you.

If you have any questions, feel free to comment below.

5 0

3 years ago

Jason traveled 26 miles. The first 2 hours his speed was 4 mph, and the rest of the way his speed was 3mph. How long was he trav

horsena [70]

Answer: 8 hours

Step-by-step explanation: You would first multiply 2 hours by 4 mph, and get 8 miles. You would then subtract 8 miles from 26 miles, and have 18 miles left. You would now divide 18 miles by 3, as he is now traveling 3 miles per hour and needs to travel 18 miles. You would get 6 hours. You would now add 6 hours by the 2 hours initially traveled at 4 mph, and get 8 hours.

6 0

2 years ago

Which expressionis equal to (-7x+5.1y)-(-9x+5.3y)

Furkat [3]

Answer:

The simplified expression for the given expression will be:

c. $2x-0.2y$

Step-by-step explanation:

Given expression:

$(-7x+5.1y)-(-9x+5.3y)$

To simplify the expression.

Solution:

In order to simplify the expression, we will first remove the parenthesis by reversing the signs of the terms inside the parenthesis which lies after a negative sign out side the parenthesis.

This is because negative multiplies to a negative to give a positive and negative multiplies to a positive to give a negative.

So, we have:

⇒ $-7x+5.1y+9x-5.3y$