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3 years ago

6

Which of the relations below (in picture) are functions?

1 answer:

kherson [118]3 years ago

3 0

Answer:

a and b should be right

Step-by-step explanation:

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The amount of time all students in a very large undergraduate statistics course take to complete an examination is distributed c

Anestetic [448]

Answer:

a) The mean is $\mu = 60$

b) The standard deviation is $\sigma = 9$

Step-by-step explanation:

Normal Probability Distribution:

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.

The probability a student selected at random takes at least 55.50 minutes to complete the examination equals 0.6915.

This means that when X = 55.5, Z has a pvalue of 1 - 0.6915 = 0.3085. This means that when $X = 55.5, Z = -0.5$

So

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

$-0.5 = \frac{55.5 - \mu}{\sigma}$

$-0.5\sigma = 55.5 - \mu$

$\mu = 55.5 + 0.5\sigma$

The probability a student selected at random takes no more than 71.52 minutes to complete the examination equals 0.8997.

This means that when X = 71.52, Z has a pvalue of 0.8997. This means that when $X = 71.52, Z = 1.28$

So

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

$1.28 = \frac{71.52 - \mu}{\sigma}$

$1.28\sigma = 71.52 - \mu$

$\mu = 71.52 - 1.28\sigma$

Since we also have that $\mu = 55.5 + 0.5\sigma$

$55.5 + 0.5\sigma = 71.52 - 1.28\sigma$

$1.78\sigma = 71.52 - 55.5$

$\sigma = \frac{(71.52 - 55.5)}{1.78}$

$\sigma = 9$

$\mu = 55.5 + 0.5\sigma = 55.5 + 0.5*9 = 55.5 + 4.5 = 60$

Question

The mean is $\mu = 60$

The standard deviation is $\sigma = 9$

6 0

3 years ago

Mary and Marsha have a combined age of 36. Marsha is twice as old as Mary. How old is Mary?

Gnom [1K]

If they are 36 together, and Marsha is twice Mary then do 2x+x=36
Saying that Marsha is twice Mary.

7 0

3 years ago

Read 2 more answers

Myra has a 17 foot roll of crepe paper to make 8 streamers to decorate for a party. How long will each streamer be if she cuts t

Vsevolod [243]

Each streamer would be 2.125 feet long

5 0

4 years ago

What is it < > or = <br> 1000kg 100000 g

Ber [7]

9514 1404 393

Answer:

>

Step-by-step explanation:

1 kg = 1000 g

Multiplying by 1000, you have ...

1000 kg = 1,000,000 g

1,000,000 g > 100,000 g

The appropriate relation symbol is >.

5 0

3 years ago

The equation for line j can be written as y=2x + 8. Another like k is perpendicular to line j and passes through the point (6,-6

Semmy [17]

Answer:

B

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x + 8 ← is in slope- intercept form

with slope m = 2

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{2}$ , thus

y = - $\frac{1}{2}$ x + c ← is the partial equation

To find c substitute (6, - 6) into the partial equation

- 6 = - 3 + c ⇒ c = - 6 + 3 = - 3

y = - $\frac{1}{2}$ x - 3 ← equation of line k

7 0

3 years ago