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bearhunter [10]
2 years ago
11

The experience of a car dealer shows that 60% of the customers purchase a stereo as an option with their cars, 50% purchase tint

ed windows, and 35% purchase both. find the probability that a customer purchase at least one of these two options.
Mathematics
1 answer:
erica [24]2 years ago
4 0
If 60% purchase a stereo and 50% purchases tinted windows, then the percentage of people who purchased both have been counted twice. So we have to subtract 35% (the % that purchased both) from the sum of the first two percentages:
60% + 50% - 35% = 75%
Therefore, the probability that a customer picked up any one or both options (which is at least 1) is 75%.
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Matthew has three brothers: Alex, Mark, and Luke. The sum of their three ages is 12. List all the different combinations of ages
arsen [322]

Answer:

Step-by-step explanation:

Let Alex's age = x

Mark's age = y

Luke's age = a

x + y + z = 12

The possible combinations for their age are

1. 6, 3, 3

2. 3, 3, 6

3. 4,4, 4

4, 2, 2, 8

5. 8, 2, 2

6. 2, 8, 2

7. 9, 2, 1

Etc the age can keep going as long as you can find any three numbers and add them to give you 12

3 0
2 years ago
A rain gutter is to be constructed of aluminum sheets 12 inches wide. After marking off a length of 4 inches from each edge, thi
marysya [2.9K]
For this problem, I think there is no need for the details of 12 inches width and 4 inches length. This is because an equation is already given. It was clearly specified that A as a function of θ represents the area of the opening. Then, we are asked to find exactly that: the area of opening. Moreover, the value of θ was also given. Therefore, I am quite sure that the initial details given are for the purpose of red herring only.

So, all we have to do is substitute θ=45° to the function given. 
A = 16 sin 45° ⋅ (cos 45° + 1)

The angle 45° is a special angle in trigonometry. So, it would be easy to remember trigonometric functions of this angle. Sine of 45° is equal to √2/2 while cosine of 45° is also √2/2.

A = 16(√2/2) ⋅ (√2/2 + 1)
A = 8+8√2
A = 19.31 square inches
8 0
2 years ago
Read 2 more answers
A teacher bought 7 packs of dominoes for a math game. Each pack had 55 dominoes. The teacher already had 118 dominoes to use in
S_A_V [24]

Answer:

540540 dominoes

Step-by-step explanation:

6 0
2 years ago
Given f(x) = 4x4 + 5x3 – 15x2 – 45, find f(–3).
poizon [28]

Answer:

C)  

f(–3) = 9

Step-by-step explanation:

Given f(x) = 4x^4 + 5x^3 – 15x^2 – 45

f(-3) means let x = -3

f(-3) = 4(-3)^4 +5(-3)^3 – 15(-3)^2 – 45

       =4(81) +5(-27) -15(9) -45

        = 324 - 135 - 135 -45

           =9

6 0
2 years ago
Read 2 more answers
The slope of diagonal OA is ? and its equation is ?
Nimfa-mama [501]

Answer:

Slope = \frac{4}{3}

Equation of the line → y=\frac{4}{3}x

Step-by-step explanation:

Let the equation of diagonal OA is,

y = mx + b

Here, m = Slope of the line OA

b = y-intercept

Slope of a line passing through two points (x_1,y_1) and (x_2,y_2) is given by,

m = \frac{y_2-y_1}{x_2-x_1}

Therefore, slope of the line passing through O(0, 0) and A(3, 4) will be,

m = \frac{4-0}{3-0}

m = \frac{4}{3}

Since, line OA is passing through the origin, y-intercept will be 0.

Therefore, equation of OA will be,

y=\frac{4}{3}x

3 0
2 years ago
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