The volume of a cylinder is 2,200Pi cubic inches. The diameter of the circular base is 10 inches. What is the height of the cyli

The following boxplot shows the typical gas mileage, in miles per gallon, for 20 different car models.

Inessa [12570]

Answer:

E

Step-by-step explanation:

My guess is E, since if you total everything and then divide by 2, it equals 30.

6 0

4 months ago

At a summer camp, 6-year-olds are in Group A, 7-year-olds are in Group B, and 8-year-olds are in Group C. Is the group assignmen

tester [12383]

Response:

The answer is many to one

Step-by-step explanation:[[TAG_9]][[TAG_10]][[TAG_11]]

6 0

2 months ago

Read 2 more answers

A boat operates under its motor and 10 m/s and is headed downstream. If the river flows downstream at 2m/s, what is the resultan

zzz [12365]

Answer:

The resultant velocity will be 12 m/s

Step-by-step explanation:

If the river flows at 2m/s downstream while the boat travels downstream at 10m/s, simply add the two speeds to find the resultant velocity:

Resultant Velocity = 10 m/s + 2 m/s = 12 m/s.

8 0

2 months ago

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At a recent county fair, you observed that at one stand people's weight was forecasted, and were surprised by the accuracy (with

Leona [12618]

Answer:

a) Slope: $\hat \beta_1 =\frac{7625.9}{1248.9}=6.106$

Intercept: $\hat \beta_o = 157.955 -6.106 (69.686)=-267.548$

b) $r=\frac{7625.9}{\sqrt{[1248.9][94228.8]}}=0.657$

Additionally, the coefficient of determination is $r^2 = 0.657^2 =0.432$

Step-by-step explanation:

Definitions and data provided

The correlation coefficient is a measure that quantifies the strength of the relationship between two variable movements, denoted as r and ranging between -1 and 1.

The sum of squares refers to the total of the squared deviations, where deviation is defined as the difference between each value and the grand mean.

When performing multiple regression, the aim is to analyze the relationship between multiple independent variables and one dependent variable.

n=110, $\sum x_i y_i = \sum (X-\bar X)(Y-\bar Y) =7625.9,\sum x^2_i=\sum (x-\bar x)^2 =1248.9, sum y^2_i=\sum(y-\bar y)^2 =94228.8$

$\sum Y_i =17375, \sum X_i = 7665.5$

Part a

The slope can be calculated using this formula:

$\hat \beta_1 =\frac{\sum (x-\bar x) (y-\bar y)}{\sum (x-\bar x )^2}$

Following the substitutions, we have:

$\hat \beta_1 =\frac{7625.9}{1248.9}=6.106$

The intercept can be determined with this formula:

$\hat \beta_o = \bar y -\hat \beta_1 \bar x$

Average values for x and y can be calculated this way:

$\bar X=7665.5/110 =69.686, \bar y= 17375/110=157.955$

Replacing yields:

$\hat \beta_o = 157.955 -6.106 (69.686)=-267.548$

Part b

The correlation coefficient can be calculated using the following formula:

$r=\frac{\sum (x-\bar x)(y-\bar y) }{\sqrt{[\sum (x-\bar x)^2][\sum(y-\bar y)^2]}}$

In our situation:

n=110, $\sum x_i y_i = \sum (X-\bar X)(Y-\bar Y) =7625.9,\sum x^2_i=\sum (x-\bar x)^2 =1248.9, sum y^2_i=\sum(y-\bar y)^2 =94228.8$

We can compute the correlation coefficient by substituting values:

$r=\frac{7625.9}{\sqrt{[1248.9][94228.8]}}=0.657$

The coefficient of determination is $r^2 = 0.657^2 =0.432$

6 0

3 months ago

Explain why the following expression is false. |x| < -4

Zina [12379]

Step-by-step explanation:

When a negative number is placed within a modulus function, the result will be positive. For instance, |-3| equals 3, |-6| equals 6, and |5| equals 5, etc.

A modulus function, expressed as |x|, is always positive unless x is zero, in which case it equals zero.

Consequently, |x| cannot be less than -4 because |x| is always non-negative. Thus, the statement is inaccurate.

8 0

3 months ago