What is the value of x? 5 cm 3 cm Enter your answer in the box 40 cm 2x + 10

Scores on a test are normally distributed with a mean of 81.2 and a standard deviation of 3.6. What is the probability of a rand

Misha Larkins [42]

Answer:

The probability of a randomly selected student scoring in between 77.6 and 88.4 is 0.8185.

Solution:

Given, Scores on a test are normally distributed with a mean of 81.2

And a standard deviation of 3.6.

We have to find What is the probability of a randomly selected student scoring between 77.6 and 88.4?

For that we are going to subtract probability of getting more than 88.4 from probability of getting more than 77.6

Now probability of getting more than 88.4 = 1 - area of z – score of 88.4

$\mathrm{Now}, \mathrm{z}-\mathrm{score}=\frac{88.4-\mathrm{mean}}{\text {standard deviation}}=\frac{88.4-81.2}{3.6}=\frac{7.2}{3.6}=2$

So, probability of getting more than 88.4 = 1 – area of z- score(2)

= 1 – 0.9772 [using z table values]

= 0.0228.

Now probability of getting more than 77.6 = 1 - area of z – score of 77.6

$\mathrm{Now}, \mathrm{z}-\text { score }=\frac{77.6-\text { mean }}{\text { standard deviation }}=\frac{77.6-81.2}{3.6}=\frac{-3.6}{3.6}=-1$

So, probability of getting more than 77.6 = 1 – area of z- score(-1)

= 1 – 0.1587 [Using z table values]

= 0.8413

Now, probability of getting in between 77.6 and 88.4 = 0.8413 – 0.0228 = 0.8185

Hence, the probability of a randomly selected student getting in between 77.6 and 88.4 is 0.8185.

4 0

3 years ago

Mean of 6 numbers-is 15 whereas mean of next 4 numbers

Assoli18 [71]

It is 22 my guy because i think it is 22

3 0

3 years ago

Read 2 more answers

Which of the following is the solution to the compound inequality below? 3x+5 2 -1 or -2x - 725

sashaice [31]

Answer:

x= -674

Step-by-step explanation:

Solve for x and check: x + 5 = 3

Solution

Solve for x and check: - 3x = 12

Dividing each side by -3, we obtain

Another way of solving the equation

3x - 4 = 7x + 8

would be to first subtract 3x from both sides obtaining

-4 = 4x + 8,

then subtract 8 from both sides and get

-12 = 4x.

Now divide both sides by 4 obtaining

- 3 = x or x = - 3

Solve for c: 3(x + c) - 4y = 2x - 5c

First remove parentheses.

Remember, abx is the same as 1abx.

We divide by the coefficient of x, which in this case is ab.

6 0

3 years ago

You were able to purchase 5 gallons of gas for $19.85. How many gallons did you buy if you spent $47.64

antoniya [11.8K]

12 Gallons

19.85/5=3.97
47.64/3.97=12

7 0

3 years ago

Read 2 more answers

65 people took a clarinet exam. Before the exam, 23 people predicted that they would pass, and the rest predicted they would fai

kakasveta [241]

Answer:

The answer is 29/42

Step-by-step explanation:

First, let's calculate how many people predicted they would fail. The question states that 65 people took the exam and 23 predicted they would pass, so we can find the number of people that predicted they would fail by the following calculation:

Let FP be the people who predicted they'd fail

65 = 23 + FP

65 - 23 = FP

42 = FP

Now, let's move on to the next part. The question states that a total of 31 people passed the test, from those 18 being the people who predicted they would pass and the rest are people who had predicted they would fail but ended up passing.

Let's set x as the number of people who predicted they would fail but have passed.

31 = 18 + x

31 - 18 = x

13 = x

Since 13 of the 42 FP have passed, we can calculate how many of them failed. Let y be the number of people that predicted to fail and ended up failing:

13 + y = 42

y = 42 - 13

y = 29

Finally, now we have the fraction of those who predicted that they would fail actually did fail and that's 29/42

3 0

2 years ago