Can I get help with this please?

Two best friends are in a small class together which has 9 students in attendance. if the students are randomly assigned into tw

castortr0y [4]

The probability would be 1:9

6 0

4 years ago

The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.7 millimeters and a standard deviati

slava [35]

Answer:

The diameter that separates the top 3% is of 5.85 millimeters, and the one which separates the bottom 3% is of 5.55 millimeters.

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 z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 5.7 millimeters and a standard deviation of 0.08 millimeters.

This means that $\mu = 5.7, \sigma = 0.08$

Top 3%

The 100 - 3 = 97th percentile, which is X when Z has a p-value of 0.97, so X when Z = 1.88.

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

$1.88 = \frac{X - 5.7}{0.08}$

$X - 5.7 = 1.88*0.08$

$X = 5.85$

Bottom 3%

The 3rd percentile, which is X when Z has a p-value of 0.03, so X when Z = -1.88.

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

$-1.88 = \frac{X - 5.7}{0.08}$

$X - 5.7 = -1.88*0.08$

$X = 5.55$

The diameter that separates the top 3% is of 5.85 millimeters, and the one which separates the bottom 3% is of 5.55 millimeters.

7 0

3 years ago

Despite booming new car sales with their cha-ching

Elena-2011 [213]

Answer to the 1st question: 8 years

Answer to the 2nd question: The year 2022

=======================================================

Further explanation:

x = number of years after 2008

y = average price of a new car

The prices are going up by $1250 per year on average. This is the slope because the slope is the rate of change. So m = 1250.

The y intercept is b = 30100 as this is the price in 2008.

This leads us to go from y = mx+b to y = 1250x+30100

Plug in x = 0 and you should get y = 30100.

Also, plugging x = 6 into the equation leads to y = 37600 to help confirm things.

-----------------

Next, we plug in y = 47600 and solve for x.

y = 1250x+30100

47600 = 1250x+30100

47600-30100 = 1250x

17500 = 1250x

1250x = 17500

x = 17500/1250

x = 14

This means 14 years after the year 2008 is when the average new car price will be $47,600.

2008+14 = 2022

2022-2014 = 8

Therefore, 8 years after 2014 (aka the the year 2022) is when the new car average price will be $47,600.

6 0

2 years ago

Jesse takes two data points from the weight and feed cost data set to calculate a slope, or average rate of change. A ferret wei

fredd [130]

Answer:

$m = 12.33$

Step-by-step explanation:

Given

Ferret:

$Weight = 2.1lb$

$Cost = \$3.40$

Labrador Retriever

$Weight = 70lb$

$Cost = \$7.50$

Required

Determine the slope

Represent the given as x or y

Taking the weight as explanatory variable;

We have:

x = 2.1; y = 3.4

x = 7.5; y = 70

Slope is calculated as:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{70 - 3.4}{7.5 -2.1}$

$m = \frac{66.6}{5.4}$

$m = 12.33$

Hence, the slope is 12.33

7 0

3 years ago

A large company that must hire a new president prepares a final list of five candidates,all of whom are equally qualified. Two o

nikitadnepr [17]

Answer:

The estimate has been made using classical probability.

Step-by-step explanation:

5 0

3 years ago