Drag each tile to the correct box.

To finance her community college education, Sarah takes out a loan for $3700. After a year Sarah decides to pay off the interest

ASHA 777 [7]

I believe it is $3,478

8 0

3 years ago

The smaller the standard deviation, _______________________. Select one: a. the less variability it has b. the more variability

algol13

Answer:

a. the less variability it has

Step-by-step explanation:

The standard deviation is a measure of the amount of variation or dispersion of a set of values.

When your standard deviation is big your data is more dispersed.

When your standar deviation is small your mean is a representative index of your data, and there is less variability.

If there was no dispersion of the data (if all your data be the same) then the standard deviation will be 0.

5 0

3 years ago

Manufacture of a certain component requires three different machining operations. Machining time for each operation has a normal

tigry1 [53]

Answer:

0.0314 = 3.14% probability that it takes at most 1 hour of machining time to produce a randomly selected component

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.

Sum of normal variables:

When normal variables are added, the mean is the sum of the means while the standard deviation is the square root of the sum of the variances.

The mean values are 20, 15, and 30 min, respectively:

This means that $\mu = 20 + 15 + 30 = 65$

The standard deviations are 1, 2, and 1.5 min, respectively.

This means that $\sigma = \sqrt{1^2 + 2^2 + 1.5^2} = 2.6926$

What is the probability that it takes at most 1 hour of machining time to produce a randomly selected component?

Mean and standard deviation are in minutes, so this is the pvalue of Z when X = 60.

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

$Z = \frac{60 - 65}{2.6926}$

$Z = -1.86$

$Z = -1.86$ has a pvalue of 0.0314

0.0314 = 3.14% probability that it takes at most 1 hour of machining time to produce a randomly selected component

7 0

2 years ago

At a local store, Kelly and Martin bought some notebooks and pencils. Kelly bought 4 notebooks and 25 pencils for 16.71. Martin

grandymaker [24]

Answer:

9.17

Step-by-step explanation:

6 0

3 years ago

Write the equation of this line in Point-Slope Form.

Leona [35]

Answer:

y -3 = (-1/2)(x - 5)

Step-by-step explanation:

Slope of line: Notice that if we go from 7 to 5, the 'run' is -2 and the corresponding 'rise' from 2 to 3 is 1. Thus, the slope is m = -1/2.

Using m = -1/2 and the point (5, 3), we write the equation of this line in point-slope form as:

y -3 = (-1/2)(x - 5)

5 0

3 years ago