Question 9
The probability that a vehicle will change lanes while making a turn is 55%.
Suppose a random sample of 7 vehicles are observed making turns at a
busy intersection.
Calculate the expected value.

Answers

Answer 1

Answer:

3.85 (rounded to 4 cars)

Step-by-step explanation:

Let X be the discrete random variable the number of vehicles changing lanes

X~B(7, 0.55)

The expected value is found by:

E(X) = 7 × 0.55

E(X) = 3.85


Related Questions

given that a/b = 2/3 and b/c = 3/7 find A:B:C

Answers

Answer:

2:3:7

Step-by-step explanation:

a/b = 2/3

That gives us a clue that a=2 and b=3

But to make sure it states b/c = 3/7

So A:B:C is

2:3:7

Hope this helps!

4х + Зу = — 15
Зу = 2х + 3

Answers

Answer:

(- 3, - 1 )

Step-by-step explanation:

4x + 3y = - 15 → (1)

3y = 2x + 3 → (2)

Substitute 3y = 2x + 3 into (1)

4x + 2x + 3 = - 15

6x + 3 = - 15 ( subtract 3 from both sides )

6x = - 18 ( divide both sides by 6 )

x = - 3

Substitute x = - 3 into (2)

3y = 2(- 3) + 3 = - 6 + 3 = - 3 ( divide both sides by 3 )

y = - 1

solution is (- 3, - 1 )

I think this is the answer

Find the graph for the equation y=|x-3|-6?

Answers

Answer:

Step-by-step explanation:

A rectangle that measures 2 inches by 4 inches.
What is the area of the rectangle?

Answers

Answer:

8 in

Step-by-step explanation:

because 4 x 2 = 8 inches squared

Answer:

8 inches²

Step-by-step explanation:

formula for the area of a rectangle is l x w

2 inches x 4 inches = 8 inches.

Area is written in  (unit)²

so, the area of the rectangle is 8 inches²

Find the area in square feet of a rectangle with a base of 3 feet and a height of 4 1/3 feet.

Answers

Answer:

13 ft^2

Step-by-step explanation:

Area = Base * Height

= 3 * (4+1/3)

=3*(13/3)

=13

A triangular prism is 18 centimeters long and has a triangular face with a base of 12 centimeters and a height of 8 centimeters. The other two sides of the triangle are each 10 centimeters.
What is the surface area of the triangular prism?

Answers

Answer:

672 sq cm

Step-by-step explanation:

Each triangular base is 1/2 (12 * 8) or 48, making them = 96.

One of the sides is 12 x 18 = 216

The other 2 sides are 10 x 18 = 180 x 2 = 360

Add them all together to get 672 sq cm

Solve |2x - 5| = 4.
a. {x | x = 0.5 or x = 4.5}
b. {x | 0.5 < x < 4.5}
c. {x | x = -4.5 or x = 4.5}

Answers

x = 4.5 x = .5
Step-by-step explanation:
|2x - 5| = 4
The absolute value has two solutions one positive and one negative
2x-5 = 4 2x-5 = -4
Add 5 on each side
2x-5+5 = 4+5 2x-5+5 = -4+5
2x = 9 2x =1
Divide by 2
2x/2 =9/2 2x/2 = 1/2
x = 4.5 x = .5

9x2+8x(5x-4) simplify

Answers

Answer:-14x + 40x² is the answer.Step-by-step explanation:9x(2) + 8x(5x - 4)=> 18x + 8x(5x-4)=> 18x + 40x² - 32x=> -14x + 40x²Conclusion:

Therefore, -14x + 40x² is the answer.

Hoped this helped.

[tex]-BrainiacUser1357-[/tex]

Men to women working for a company ie 2 to 3 if there are 80 employees total how many men work for the company

Answers

Answer:

32

Step-by-step explanation:

What does this equal 2(4+5) over 3

Answers

2(4+5) = 18
so 18/3 = 6

1. 2h−3(3−h)+ _=5h−8
Make equation have infinite solution

2. −k+_(k+1)=2k
make equation have no solution

Answers

Answer:

HOPE THAT HELPS BUT I DO NOT HAVE ANSWER

Step-by-step explanation:

3×2k=????

3×5=??

6×k=??

6×4=??

then put all those together in a 2 step equation and then add 9 to the answer

If we end up with the same term on both sides of the equal sign, such as 4 = 4 or 4x = 4x, then we have infinite solutions. If we end up with different numbers on either side of the equal sign, as in 4 = 5, then we have no solutions.

please help me on this​

Answers

Answer:

3

Step-by-step explanation:

2  +  3  =   7

---    ---      ---

6      6       6

Carpet Company A

c = 1.35y + 100

where c is the cost and y is the number of square yards.

Carpet Company B

This company charges $2.05 per square yard for the carpet and the installation.

Identify the unit rate in dollars per square yard for each carpet company.

Answers

Answer:

2.45

Step-by-step explanation:

Max's parents bought $8,000 from the bank for a new car. The interest rate is 6% per year. How much simple interest will they pay if they take 3 years to repay the loan?

Answers

Answer:

1440

Step-by-step explanation:


A textbook store sold a combined total of 272 biology and math textbooks in a week. The number of math textbooks sold was 50 less than the number of biology textbooks sold. How many textbooks of each type were sold? Number of biology textbooks sold: number of math textbooks sold:

Answers

Answer:

b = 161, m = 111

Step-by-step explanation:

b + m = 272

m + 50 = b

Substitute

m + 50 + m = 272

2m = 222

m = 111

Plug in for m

b + 111 = 272

b = 161

HELP!? ✋


What strategies help prevent cancer?

Select all that apply.

Question 8 options:

using sunscreen


avoiding tobacco


getting enough sleep


eating a healthy diet

Answers

All of them are strategies for preventing cancer

HELP ME OUT PLEASE!!!

Which function represents the relationship between x and y?

D) y = x - 2

C) y = x + 4

B) y = 2x

A) y = x + 2​

Answers

Answer:

The Answer is "A"

Step-by-step explanation:

x+2=y

Please help

Use the function f(x)=2−5x to fill out the table.
x f(x)
-2 ___
-1 ___
0 ___
1 ___
2 ___

Answers

Answer:

-2 12

-1 7

0 2

1 -3

2 -8

Step-by-step explanation:

[] With the function f(x)=2−5x we can tell that we will plug x into the equation without doing anything to it (x)

-2 ___

f(-2) = 2−5x

f(-2) = 2−5(-2)

f(-2) = 2 + 10

f(-2) = 12

-1 ___

f(-1) = 2−5x

f(-1) = 2−5(-1)

f(-1) = 2 + 5

f(-1) = 7

0 ___

f(0) = 2−5x

f(0) = 2−5(0)

f(0) = 2

1 ___

f(1) = 2−5x

f(1) = 2−5(1)

f(1) = 2 - 5

f(1) = -3

2 ___

f(2) = 2−5x

f(2) = 2−5(2)

f(2) = 2−5(2)

f(2) = 2−10

f(2) = -8

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

The sum of the angle measures of a triangle is 180°. Find the value of x. Then find the angle measures of the triangle.

Answers

Answer:

x = 4343°, 51°, 86°

Step-by-step explanation:

The sum of the angles is ...

  x° + (x +8)° + 2x° = 180°

  4x +8 = 180 . . . . . . . . . . . collect terms, divide by °

  x +2 = 45 . . . . . . . . . . divide by 4

  x = 43 . . . . . . . . . . subtract 2

  x +8 = 51

  2x = 86

The angles are 43°, 51°, 86°.

Which statement is the correct interpretation of the inequality −4 > −5? (5 points)

Question 7 options:

1)

On a number line, −4 is located to the left of 0 and −5 is located to the right of 0.

2)

On a number line, −4 is located to the right of 0 and −5 is located to the left of 0.

3)

On a number line, −4 is located to the right of −5.

4)

On a number line, −4 is located to the left of −5.

Answers

Answer:

On a number line, -4 is located to the right of -5

Step-by-step explanation:

Answer:

On a number line, -4 is located to the right of -5.

Step-by-step explanation:

this is correct, also I don't take credit for it the person above me is the original. :)

Solve the quadratic equation by using a numeric approach.

0.02x squared + 0.5x - 4 = 0

a. x = 1.3 and x = -23.2
c. x = 5.6 and x = -32.3
b. x = 2.8 and x = -20.5
d. x = 6.3 and x = -31.3

Answers

The solution to the quadratic equation by using a numeric approach

are x = 6.3 and x = -31.3

Given the quadratic function expressed as;

0.02x²+ 0.5x - 4 = 0

Multiply through by 100 to have;

2x² + 50x - 400 = 0

Using the general formula to solve:

x = -50±√2500-4(2)(-400)/2(2)

x = -50±√2500+3200/4

x = -50±75.49/4

x = -31.3 or 6.3

Hence the solution to the quadratic equation by using a numeric approach

are x = 6.3 and x = -31.3

Learn more on quadratic function here: https://brainly.com/question/25841119

Brittany works at the local fish hatchery. Her job is to unload the boxes of fish food. What is the surface area in square feet of the entire package? The package is a rectangular box.

Answers

Answer:

4.25 sq. ft

Step-by-step explanation:

l = 24

w = 0.5

h = 12

SA = 2lw + 2lh + 2wh

2*(12*0.5 + 24*0.5 + 12*24) = 612 sq. in = 4.25 sq. ft

A sequence begins with-3. Each term is calculated by multiplying the previous term by -4, then subtracting 1.
Which option correctly represents the sequence described?
A -3, 11, -45, 179, ...
B {-3, -13, -53, -213, ...}
C. {-3, 11, -45, 179, ...}
D -3, -13, -53, -213,...

Answers

Answer:

A

Step-by-step explanation:

We know that to find the next term we have to do

-3(-4)-1, which is equal to 11.

There are only to solutions with the '11' as the second term, A and C.

It can't be C as curly brackets state a set of numbers.

SCO
Sarah put 15 gumdrops on the roof of her
gingerbread house. How many gumdrops
will she need to make 16 more houses
exactly like this one?
MY
gumdrops

Answers

Answer: 240 gumdrops

Step-by-step explanation:

1 house: 15 gumdrops

16 houses : 240 gumdrops

1 x 16 = 16

15 x 16 = 240

help me please please​

Answers

Answer:

11/14

Step-by-step explanation:

Have a nice day !!!

Answer:

its B, its 11/14

Step-by-step explanation:

 the number of Significant Figures in 13410000 *​

Answers

Answer:

hhhhhhhhhhhhhhhhhhh

Step-by-step explanation:

hhhhhhhhhhhh

Answer:

4

Step-by-step explanation:

13410000

Sig Figs4

13410000

Decimals0

Scientific Notation1.341 × 107

E-Notation1.341e+7

Words thirteen million four hundred ten thousand

Sharon wants to buy a shirt that cost $60. The sales tax is 5%. How much is the sales tax. What is her total cost for the shirt?

Answers

5% of 60$ is 3$. So sales tax is 3$. Total cost is 63$

help pls :) solve x+4/3 = 3/x-4
i’ve also attached a picture of the problem if you get confused on the typing

Answers

Answer:

x= 5 or x= -5

Step-by-step explanation:

[tex] \frac{x + 4}{3} = \frac{3}{x - 4} [/tex]

Cross multiply:

(x +4)(x -4)= 3(3)

Expand:

[tex]\boxed{a {}^{2} - {b}^{2} = (a + b)(a - b)}[/tex]

x² -4²= 9

x² -16= 9

+16 on both sides:

x²= 9 +16

x²= 25

Square root both sides:

[tex]x = ± \sqrt{25} [/tex]

x= 5 or x= -5

Given that:

[(x+4)/3] = [3/(x-4)]

We know that

(a/b) = (c/d)

⇛a(d) = b(c)

Now,

By using cross multiplying fraction, we get

⇛x+4(x-4) = 3(3)

⇛x(x-4) + 4(x-4) = 9

⇛x² - 4x + 4x - 16 = 9

⇛x² - 0 -16 = 9

⇛x² = 9+16

⇛x² = 25

⇛x = √(25)

⇛x = ±√(5*5)

⇛x = ±5 = +5 or -5 Ans.

also read similar questions: Solve the expression and find the value of x. [tex] \frac{x⁠…

https://brainly.com/question/25420312

Can some one help me solve this x+3/2+3x/7 = 7

https://brainly.com/question/25742683

Clara is making a pennant. She attaches a rectangle that is 1 inch wide and 6 inches long to a triangle that has a base of 6 inches and a height of 28 inches. What is the area of the
pennant?

Answers

The area of the pennant made by Clara is 90 in²

Area

Area is the amount of space taken up by a two dimensional figure. It measures the quantity of space covered by the figure.

Area of the rectangle = length * width = 6 in * 1 in = 6 in²

Area of triangle = (1/2) * base * height = (1/2) * 6 in * 28 in = 84 in²

Area of the pennant = 6 in² + 84 in² = 90 in²

The area of the pennant made by Clara is 90 in²

Find out more on Area at: https://brainly.com/question/25292087

Answer:

90in^2

Step-by-step explanation:

Area of the rectangle = length times width = 6 x1 = 6 in^2

then the Area of triangle = 1/2 base times height = (1/2) x 6 x 28= 84 in^2

and the Area of the pennant is = 6 + 84 = 90 in

Step-by-step explanation:

Find the value of x.

Answers

Answer:

Step-by-step explanation:

The top left angle is 55 (alternate interior angles).

x + 100 + 55 = 180                     All triangles are made up of 180 degrees

x + 155 = 180                             Subtract 155 from both sides.

x = 180 - 155                              Combine

x = 25

Answer: x = 25°Step-by-step explanation:=> 55 + 100 + x = 180 [The '100' came into this equation because of vertically opposite angles.]=> 155 + x = 180=> x = 25°Conclusion:

Hence, 'x = 25°' is the value of 'x'

Hoped this helped.

[tex]-BrainiacUser1357-[/tex]

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