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miss Akunina [59]
3 years ago
12

Assume that you are about to buy a car. There is a probability of 0.4 that you will purchase a new vehicle, and a probability of

0.5 that you will purchase a used vehicle. There is no probability that you will go home with more than one vehicle. The probability that you purchase no vehicle at all is:A. 0.9B. 1.0C. 0.1D. 0.0
Mathematics
1 answer:
Mila [183]3 years ago
4 0

Answer:

C. 0.1

Step-by-step explanation:

The sum of the probabilities of all possible events must equal 1.

Since there is no probability of purchasing two vehicles ore more, the events are:

- Purchase a new vehicle (0.5)

- Purchase a used vehicle (0.4)

- Purchase no vehicle at all (x)

The probability of not purchasing a vehicle is:

x=1-0.5-0.4\\x=0.1

The probability that you purchase no vehicle at all is: C. 0.1

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Find the average rate of change of f(x)=2x^2-7x from x=2 to x=6
scoundrel [369]

Answer:

Step-by-step explanation:

The average rate of change of a function f between a and b (a< b) is :

R =[f(b)-f(a)] ÷ (a-b)

●●●●●●●●●●●●●●●●●●●●●●●●

Let R be the average rate of change of this function

f(6) = 2×6^2 - 7×6 = 72-42 = 30

f(2) = 2×2^2 - 7×2 = 8-14 = -6

R = [f(6) - f(2)]÷ (6-2)

R = [30-(-6)] ÷ 4

R = -36/4

R = -9

■■■■■■■■■■■■■■■■■■■■■■■■■

The average rate of change of this function is -9

8 0
3 years ago
Read 2 more answers
1. The Cajun Heartland State Fair charges $1.25 per ticket for the rides. Johnny bought 25 tickets for the rides and spent a tot
vladimir1956 [14]

<u>Part (a)</u>

The variable y is the dependent variable and the variable x is the independent variable.

<u>Part (b)</u>

The cost of one ticket is $1.25. Therefore, the cost of 25 tickets will be: .

Now, we know that Johnny spent his money only on ride tickets and fair admission and that he spent a total of $43.75.

Therefore, the price of the fair admission is: $43.75-$31.25=$12.5

If we use y to represent the total cost and x to represent the number of ride tickets, the linear equation that can be used to determine the cost for anyone who only pays for ride tickets and fair admission can be  written as:

y=1.25x+12.5......Equation 1

<u>Part (c)</u>

The above equation is logical because, in general, the total cost of the rides will depend upon the number of ride tickets bought and that will be 1.25x. Now, even if one does not take any rides, that is when x=0, they still will have to pay for the fair admission, and thus their total cost, y=$12.5.

Likewise, any "additional" cost will depend upon the number of ride tickets bought as already suggested. Thus, the total cost will be the sum of the total ride ticket cost and the fixed fair admission cost. Thus, the above Equation 1 is the correct representative linear equation of the question given.

7 0
2 years ago
What is the solution to the linear equation?
gizmo_the_mogwai [7]

Answer:

p = 30/1/3 or 91/3 or 30.33

Step-by-step explanation:

2 + p = 7/3 + 30

p = 32/1/3 - 2

p = 30/1/3

3 0
2 years ago
write the slope-intercept form of the equation of the line passing through the point(-5,-2) and parallel to the line y=2x-2
Ivanshal [37]
Point- Slope form is
y - y1 = m (x - x1)
m = slope, (x1, y1) = point
Slope intercept form is y = mx + b
m = slope, b = y-intercept
In order for two lines to be parallel, they must have the same slope, so in this case our slope, m = 2. Now use point-slope form to insert the point and solve.
y--2 = 2 (x --5)
y + 2 = 2x + 10
y = 2x + 8

6 0
3 years ago
Complete the following steps for this equation.
Troyanec [42]
1. <span>4x – 20 = 5y

so 5y = </span><span>4x – 20

divide both sides by 5

y = (4/5)x - 4


2. x-intercept is at y=0

so (4/5)x - 4 = 0

x = 5

so it is (5,0)


3. y-intercept is at x=0, y = 0 - 4 = -4

so it is (0,-4)

</span>
6 0
3 years ago
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