There are 10 vehicles in a parking lot: 3 SUVs and 7 trucks. What is the probability that any 7 randomly chosen parking spots have 2 SUVs and 5 trucks OR 3 SUVs and 4 trucks?

Answers

Answer 1

Answer: We have to calculate the probability that any randomly choosen parking spots have 2 SUVs and 5 trucks or 3 SUVs and 4 trucks. We will use the formula with combinations: P = ( 3C2 * 7C5 ) / ( 10C7) + ( 3C3 * 4C7) / ( 10C7). For example: 10C7 = 10! / 7!*(10-7)! = 10!/7!*3!= 10*9*8/3*2*1 = 120, etc. P = ( 3 * 21 ) / 120 + ( 1 * 35 ) / 120 = 63 / 120 + 35 / 120 = 98 / 120 = 0.8166. Answer: The probability is 0.8166 or 81.66%.

Related Questions

Which numbers are solutions of the equation?|5 – 4x| – 3 = 4
The Kahn's Family lives in a house that has a backyard in the shape of an isosceles trapezoid and a triangle. The area of the backyard can be expressed as the sum of the area of the triangle and the area of the trapezoid, which is 1/2bh+1/2(p+q)L The base and the height of the triangle are represented by b and h, respectively. The bases of the trapezoid are p and q, and the height of the trapezoid is L. 2 Rearrange the formula to find the length of base as a function of the lengths of the other sections of the backyard.
Find the area of a 45°-45°-90° triangle with a hypotenuse of 24. a. 144 square units c. 99 square units b. 125 square units d. 100 square units
A perfect score on a quiz is 100. Mrs. Frisoil gives students 1 point for putting their name on the paper. If there are only 9 questions on the quiz, how much is each question worth? Explain how you found your answer
Which list shows the lengths from shortest to longest ? A. 0.2, 1/4, 3/8, 0.8, 7/8 B. 0.2, 1/4, 3/8, 7/8, 0.8C. 1/4, 0.2, 3/8, 7/8, 0.8D. 0.8, 1/4, 3/8, 0.2, 7/8

Solve for X
126°
3x

Vertical angles

Answers

Answer:

Step-by-step explanation:

simply divide 126 by 3

3x = 126
X = 42

Vertical angles are congruent :)

A credit card issuer charges an APR of 15.77%, and its billing cycle is 30 days long. What is it periodic interest rate?

Answers

Given:
Billing cycle = 30 days long
APR = 15.77%

There is 365 days in a year.

365 / 30 = 12.17

15.77% / 12.17 = 1.2958% or 1.30%

The periodic interest rate is 1.30%.

Answer:

1.30%

Step-by-step explanation:

I just answered it

Which number is equivalent to 3⁴÷3² This problem comes straight from a standardized test given in New York in 2014.

Answers

Answer:

Step-by-step explanation:

3^4 / 3^2 = 3^(4 - 2)

= 3^2
= 9

A quadratic equation is shown below:x2 − 8x + 13 = 0

Which of the following is the first correct step to write the above equation in the form (x − p)2 = q, where p and q are integers?
Subtract 5 from both sides of the equation

Add 3 to both sides of the equation

Add 5 to both sides of the equation

Subtract 3 from both sides of the equation

Answers

The given quadratic equation can be represented in the form $(x-p)^2 = q$

by adding 3 to both sides of the equation.

What is a quadratic equation?

The polynomial equation whose highest degree is two is called a quadratic equation. The equation is given by

$ax^2 + bx + c = 0$

where $a\neq 0$ .

The given quadratic equation is

$x^2 - 8x + 13 = 0$

Case 1: Subtract 5 from both sides of the equation

i.e. $x^2 - 8x + 13 - 5 = 0 - 5$

⇒ $x^2 - 8x + 8 = -5$

The LHS of the above equation can not be expressed in $(x-p)^2$ form. Hence, it is not the correct step.

Case 2: Add 3 to both sides of the equation.

i.e. $x^2 - 8x + 13 +3 = 0 + 3$

⇒ $x^2 - 8x + 16 = 3$

⇒ $x^2 - 2* x * 4 + (4)^2 =3$

⇒ $(x - 4)^2 = 3$

The above equation is expressed in $(x-p)^2 = q$ form where p = 4 and q = 3.

Case 3: Add 5 to both sides of the equation

i.e. $x^2 - 8x + 13 + 5 = 0+5$

⇒ $x^2 - 8x + 18 = 5$

The LHS of the above equation can not be expressed in the $(x-p)^2$ . Hence, it is not the correct step.

Case 4: Subtract 3 from both sides of the equation

i.e. $x^2 - 8x + 13 - 3 = 0-3$

⇒ $x^2 - 8x + 10 = -3$

The LHS of the above equation can not be expressed in the $(x-p)^2$ . Hence, it is not the correct step.

Hence, "Add 3 to both sides of the equation" is the correct step.

Learn more about quadratic equations here:

brainly.com/question/2263981?referrer=searchResults

#SPJ2

Add 3 to both sides, so you will have

x^2 - 8x + 13 + 3 = 3
x^2 -8x + 16 = 3

And now the left side is a perfect square trinolmial: (x-4)^2.

abbie spent 5/8 of her money and saved the rest. if she spent 45,how much money did she have at first?

Answers

$72

Further explanation

Given:

Abbie spent ⁵/₈ of her money and saved the rest.

She spent $45.

Question:

How much money did she have at first?

The Process:

The meaning of "Abbie spent ⁵/₈ of her money" is that she has spent 5 of the 8 parts of the money she had at first.

Let us make a pattern of 8 units for the amount of money that Abbie had at first.

$\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}$

Since Abbie spent ⁵/₈ of her money, then we create a pattern of 5 units containing $9 each. Recall that $\boxed{\$ 45 / 5 = \$ 9}$

$\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9} = \$ 45$

From the pattern above, we can see that $\boxed{ \ 1 \ unit = \$ 9 \ }.$

Let us calculate how much money Abbie had at first.

$\boxed{ \ 1 \ unit = \$ 9 \ }$

$\boxed{ \ 8 \ unit = \ ? \ }$

$\boxed{ \ 8 * \$ 9 = \$ 72 \ }$

Thus, the money Abbie had at first is $72.

The complete pattern of Abbie's initial money is as follows:

$\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9} = \$ 72$

- - - - - - - - - -

Quick Steps:

Let M as Abbie's initial money.

$\boxed{ \ (5)/(8) * M = \$ 45 \ }$

Both sides are multiplied by ⁸/₅ so that M is the subject alone on the left side.

$\boxed{ \ M = (8)/(5) * \$ 45 \ }$

We crossed out 5 and 45.

$\boxed{ \ M = 8 * \$ 9 \ }$

$\boxed{ \ M = \$ 72 \ }$

Thus, the money Abbie had at first is $72.

Learn more

How much did Ciro spend altogether for the concert ticket, hotel, and dinner? brainly.com/question/12507869
How much does his cat weigh (Jesse's)? brainly.com/question/388037
How much more paint will Mathilde need to buy? brainly.com/question/36885

Keywords: Abbie, spent 5/8 of her money, saved the rest, $45, $72, how much money, she have at first, the pattern

Note that 5/8 is equivalent to $45

1/8 is equivalent to $45 ÷ 5 = 9

8/8 (aal) is equivalent to 8 x 9 = 72

She had $72

Divide (15x^2+x-8)/(3x-1)

Answers

Simplifying -15x2 + -2x + 8 = 0
Reorder the terms: 8 + -2x + -15x2 = 0 Solving 8 + -2x + -15x2 = 0 Solving for variable 'x'.
Factor a trinomial. (2 + -3x)(4 + 5x) = 0 Subproblem 1Set the factor '(2 + -3x)' equal to zero and attempt to solve:
Simplifying 2 + -3x = 0 Solving 2 + -3x = 0
Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3x = 0 + -2
Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2
Combine like terms: 0 + -2 = -2 -3x = -2
Divide each side by '-3'. x = 0.6666666667
Simplifying x = 0.6666666667
Subproblem 2
Set the factor '(4 + 5x)' equal to zero and attempt to solve:
Simplifying 4 + 5x = 0
Solving 4 + 5x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-4' to each side of the equation. 4 + -4 + 5x = 0 + -4
Combine like terms: 4 + -4 = 0 0 + 5x = 0 + -4 5x = 0 + -4
Combine like terms: 0 + -4 = -4 5x = -4
Divide each side by '5'. x = -0.8 Simplifying x = -0.8
Solutionx = {0.6666666667, -0.8}

Other Questions

A set of equations is given below:Equation E: c = 2d + 1 Equation F: c = 3d + 7 Which statement describes a step that can be used to find the solution to the set of equations? Equation F can be written as c = 3(c − 1) + 7. Equation F can be written as c = 2(c − 7) + 1. Equation F can be written as d + 1 = 3d + 7. Equation F can be written as 2d + 1 = 3d + 7.

Nancy is very happy with the service at the hotel she is staying in. She wants to tip the room service waiter 15 percent of the food bill, which is $120.75. How much should she tip?$12 $18 $24

What is the quotient of 22 and 7? Is it 22/7 or 7/22? (division)

Which fraction is larger 1/3, 2/5, 8/15, 13/30. and how do i solve this