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4 years ago

9

Which equation has a slope of -5/2 and a y-intercept of -2

1 answer:

const2013 [10]4 years ago

7 0

$\bf \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\qquad \implies y = \stackrel{\stackrel{m}{\downarrow }}{-\cfrac{5}{2}}x\stackrel{\stackrel{b}{\downarrow }}{-2}$

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A hair salon completed a survey of 367 customers about satisfaction with service(Dissatisfied, Neutral, Satisfied, or Very Satis

mamaluj [8]

The results of the survey are shown in the table.

It's required to calculate the following probabilities:

a) A customer is neutral

The row labeled as 'Neutral' has a total of 79 customers out of 367 in total.

The required probability is:

$p=\frac{79}{367}$

b) A customer is a walk-in

The first column labeled as 'Walk-in' has a total of 106 customers out of 367. The required probability is

$p=\frac{106}{367}$

c) A customer is dissatisfied and a walk-in.

We have to cross the row Dissatisfied with the column Walk-in. The number of customers that have both categories is 22 out of 367.

The required probability is:

$p=\frac{22}{367}$

d) A customer is very satisfied given he saw a TV ad.

This is a conditional probability, where the total is 111 because is the given condition. The customers that have both characteristics are 33, thus the required probability is:

$p=\frac{33}{111}=\frac{11}{37}$

e) A customer is satisfied or referred.

Total satisfied = 139

Total referred = 150

With both features = 62

Total customers with one or both features: 139 + 150 - 62 = 227

We have to subtract the common feature because it was counted twice.

The required probability is:

$p=\frac{227}{367}$

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1 year ago

Find f( 3y ) if f(x) = - 2x + 3. SHOW YOUR WORK

guajiro [1.7K]

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3 years ago

Solve for n.<br> 7+2n = 11

Musya8 [376]

Answer:

2

Step-by-step explanation:

7+2n = 11

2n = 11-7

2n = 4

n = 4/2

therefore n = 2

5 0

2 years ago

Read 2 more answers

A store is having a sale on trail mix and jelly beans. For 7 pounds of trail mix and 9 pounds of jelly beans, the total cost is

Vlad [161]

Answer:

The cost for each pound of trail mix is $ 1.75 and each pound of jelly beans is $ 2.75.

Step-by-step explanation:

Let each pound of trail mix cost $x$ dollars and each pound of jelly beans cost $y$ dollars.

Given:

7 pounds of trail mix and 9 pounds of jelly beans cost $ 37.

So, $7x+9y=37$ --------------- 1

Also, 5 pounds of trail mix and 3 pounds of jelly beans cost $ 17.

So, $5x +3y=17$ --------------- 2

Multiplying equation 2 by -3, we get

$(5x +3y=17)\times -3\\-15x-9y=-51-------- 3$

Now, adding equations 1 and 3, we get

$7x+9y-15x-9y=37-51\\7x-15x=-14\\-8x=-14\\x=\frac{-14}{-8}=\$1.75$

Now, plug in $x=1.75$ in equation 1 and solve for $y$ .

$7(1.75)+9y=37\\12.25+9y=37\\9y=37-12.25\\9y=24.75\\y=\frac{24.75}{9}\\ y=\$2.75$

Therefore, the cost for each pound of trail mix is $ 1.75 and each pound of jelly beans is $ 2.75.

7 0

4 years ago

Segment AB falls on line 2x − 4y = 8. Segment CD falls on line 4x + 2y = 8. What is true about segments AB and CD? They are perp

Alisiya [41]

Answer:

They are perpendicular because they have slopes that are opposite reciprocals of −2 and one half.

Step-by-step explanation:

This is because x = -2 and half of -2 is 1

when we use CD line and x2 we find 8x+4y=16 when added to 2x -4y=8 would equal 10x+4y = 2 1/2 xy = 16

When we use for AB line we see they are perpendicular 2 1/2 x 2 = 5 -4y = 8 shows y to be -2 and the 1/2 line leaves -2 1/2 and x also is 2 1/2.

6 0

3 years ago

Read 2 more answers