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ratelena [41]
3 years ago
15

Write an equation in slope-intercept form for the line that satisfies the following condition.

Mathematics
1 answer:
rosijanka [135]3 years ago
8 0

Answer:

y = - x + 69

Step-by-step explanation:

Given the following :

Point on graph : (29, 8)

Equation of line ; y= 5x +17.

From the equation slope of line = 5

Intercept = 17

Slope of perpendicular line = - 1/5 ( negative reciprocal)

Using the equation :

y - y1 = m(x - x1)

From the Point given:

x1 = 29, y1 = 8

y - 8 = (- 1/5)(x - 29)

y - 8 = -1/5x + 29/5

y = -1/5x + 29/5 + 8

Multiply through by 5

y = - x + 29 +40

y = - x + 69

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Two married couples have purchased theater tickets and are seated in a row consisting of just 4 seats. If they take their seats
Licemer1 [7]

Answer:

The answer is 0.75.

Step-by-step explanation:

To use probability of a complement event, we need to find the situation where none of the couples are sitting next to each other which can happen either two husbands are sitting in the seats 2 and 3 or two wives are sitting in the seats 2 and 3. Also in the first scenario, the wives would need to be sitting at the opposite ends to their husbands and vice versa for the second scenario.

So there are in total 4 scenarios where no couple is sitting next to each other.

There are a total of 16 different ways that they can be seated so the probability of compelement is 16 - 4 = 12, which is 3/4 of the total, meaning that the probability of at least one of the wives sittting next to her husband is 0.75 or 75%.

I hope this answer helps.

7 0
3 years ago
QUESTION 9
Ratling [72]
The first one is (v+6)(v-6)
8 0
3 years ago
What is the volume of a right circular cylinder with a radius of 4 m and a height of 4 m?
dybincka [34]
Cylinder volume = PI * radius^2 * height
cylinder volume = 3.14159 * 16 * 4
cylinder volume = 3.14159 * 64
cylinder volume = <span> <span> <span> 201.06</span></span></span>

5 0
3 years ago
Read 2 more answers
12. (07.06 LC) A library building is in the shape of a rectangle. Its floor has a length of (3x + 5) meters and a width of (5x −
Goshia [24]

ANSWER

15 {x}^{2} + 22x - 5

EXPLANATION

It was given that, the length of the rectangular building is

(3x + 5) \: meters

and the width of the is

(5x - 1) \: meters

The area of a rectangular building is calculated using the formula for finding the area of a rectangle.

A = l \times w

Since the dimensions are given in terms of x, the area is also a function of x,

A(x) = (3x +5 )(5x - 1)

We expand to get,

A(x) = 3x(5x - 1) + 5(5x - 1)

A(x) = 15 {x}^{2}  - 3x + 25x - 5

A(x) = 15 {x}^{2} + 22x - 5

meters square

8 0
3 years ago
A game of chance involves rolling a standard, six-sided die. The amount of money the player wins depends on the result of the di
Sloan [31]

Answer:

If you play this game once (and it costs you nothing to play), the expected amount of money you will win is:

$8.

Step-by-step explanation:

a) Data and Calculations:

The probability for the result to be 1 or 2 = 33.33% (100/6 * 2)

The probability for the result to be 3, 4, or 5 = 50% (100/6 * 3)

The probability for the result to be 6 = 16.67% (100/6 * 1)

Data Table:

Event                              Probability       Value Won

The result is 1 or 2           33.33%              $0

The result is 3, 4 or 5     50.00%              $4.00

The result is 6                 16.67%              $36.00

Expected Value:

Event                              Probability          Value              Expected Value

The result is 1 or 2           33.33%              $0                $0 ($0 * 33.33%)

The result is 3, 4 or 5     50.00%              $4.00           $2.00 ($4 * 50%)

The result is 6                 16.67%              $36.00          $6.00 ($36 * 16.67%)

Total expected amount of money  =                             $8.00

8 0
3 years ago
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