Bob has 6 1/2 qt of paint

The members of the Student Activity Council on your campus are meeting to select three speakers for a month-long event celebrat

Komok [63]

The number of different ways that three speakers can be selected is 10 ways

Given the names of choice to be Ben, Will, Stewart, Hilary, and Kate. This means that we have a total of 5 name choices.

If the members of students activities are to select three speakers among these people, the number of ways this can be done is by using the combination rule as shown;

$nCr=\frac{n!}{(n-r)!r!}$

From the question, n = 5 and r = 3. On substituting

$5C3=\frac{5!}{(5-3)!3!}\\5C3=\frac{5!}{2!3!}\\5C3=\frac{5 \times 4 \times 3!}{2 \times 3!} \\5C3=\frac{20}{2}\\5C3 = 10 ways$

Hence the number of different ways that three speakers can be selected is 10 ways.

Learn more here: brainly.com/question/24145745

7 0

3 years ago

There are two factors of -36 such that one factor is 11 less than half of the other factor choose all the pairs of these factors

Amanda [17]

Answer with explanation:

Factors of -36 are

$=\pm 1, \pm 2,\pm 3,\pm 4, \pm 6, \pm 9, \pm 12, \pm 18, \pm 36$

It is given that , among the factors of , -36 , one factor is 11 less than half of the other factor.

If you will take, $=\pm 1,\pm 3,\pm 4, \pm 9,$ , then you can find such pairs.

Pairs are= (3,-4), (9, -1),(-1, -6),

7 0

3 years ago

How to solve a mixed number fraction

lesantik [10]

You find a common denominator (the bottom one) and then add the numerator (the top) but you don't add the denominator, you just make it the same

8 0

3 years ago

The slope-intercept form of the equation of a line that passes through point (-2, -13) is y = 54 -3. What is the point slope

dangina [55]

Answer:

$y+13=5(x+2)$

Step-by-step explanation:

<u><em>The correct question is</em></u>

The slope-intercept form of the equation of a line that passes through point (-2, -13) is y = 5x -3. What is the point slope form of the equation for this line?

we have

$y=5x-3$

This is the equation of the line in slope intercept form

where

the slope is $m=5$

the y-intercept is $b=-3$

Remember that

The equation of the line in point-slope form is equal to

$y-y1=m(x-x1)$

we have

$m=5$

$point\ (-2,-13)$

substitute

$y-(-13)=5(x-(-2))$

$y+13=5(x+2)$

3 0

3 years ago

For the following paired data, (1) Calculate the correlation coefficient, r, and (2) at the 0.05 significance level, determine w

expeople1 [14]

Answer:

Linear correlation exists

Step-by-step explanation:

Given the data :

X : | 2 4 5 6

Y : | 6 9 8 10

Using technology to fit the data and obtain the correlation Coefficient of the regression model,

The Correlation Coefficient, r is 0.886

To test if there exists a linear correlation :

Test statistic :

T = r / √(1 - r²) / (n - 2)

n = number of observations

T = 0.886 / √(1 - 0.886²) / (4 - 2)

T = 0.866 / 0.3535845

T = 2.449

Comparing Pvalue with α

If Pvalue < α ; Reject H0

Pvalue = 0.1143

α = 0.05

Pvalue > α ; We reject the null and conclude that linear correlation exists

7 0

3 years ago