Mathematics High School

It is estimated that 78% of drivers use their turn signal. Part A: What is the probability that exactly 3 drivers use their turn signal if a police officer pulls over five drivers? (5 points) Part B: What is the probability the next driver using their turn signal that the police officer pulls over if the fifth driver? (5 points) (10 points)

Answers

Answer 1

Answer:

0.2297 ;

78% of drivers use their turn signal. Part A: What is the probability that exactly 3 drivers use their turn signal if a police officer pulls over five drivers? (5 points) Part B: What is the probability the next driver using their turn signal that the police officer pulls over if the fifth driver? (5 points) (10 points)

Step-by-step explanation:

p = 0.78

1 - p = 0.22

P(x = 3)

Using the binomial distribution formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

P(x = 3) = 5C3 * 0.78^3 * 0.22^2

P(x = 3) = 10 * 0.78^3 * 0.22^2

P(x = 3) = 0.2297

Related Questions

Graph the line.
y=4x

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Answer:

Heres the answer

Step-by-step explanation:

HOPE THIS HELPS :)

BAINLIEST PLSS

4x+34x+3, when x=10x=10

Answers

Answer:

4x10=40

34x10=340

40+340+3= 383

Step-by-step explanation:

Please help me with it this vectors exercise.
Calculate:

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Answer:

ummm

Step-by-step explanation:

This is the last one guys! :D

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Answer:

119 degrees

Step-by-step explanation:

You see that the angle BAD is the same angle as EAC so youhave to add the measures of the angles EAF, and FAC, which is 62 + 57, therefore the answer is BAD= 119 degrees   You are welcome

30 points. Need some help with this

Answers

Answer:

I dont see any question

Step-by-step explanation:

Answer:

where is the question????

100 points ! and I will mark me Brainliest

Answers

Answer:

it ARBY'S

Step-by-step explanation:

Answer:

I need 1 Brainliest before I can become Virtuoso

Step-by-step explanation:

Evaluate f(2)
F(x)=3x+1

Answer
A. 7
B. 11
C. 9​

Answers

f(x) = 3x + 1

f(2) = 3 * 2 + 1 = 6 + 1 = 7

Answer : A)

Answer:

The answer is 7

Step-by-step explanation:

[tex]f(2) = 3(2) + 1 \\ = 6 + 1 \\ = 7[/tex]


Mrs. Edgar bought an eight pack of bottled water for $4.00. What was the unit
price for the water?

Answers

The unit = 2 9gggggeeeeee

Ke'Andre joined the swim team. His high dive jump is modeled by the following equation: f(x) = -16x2 + 24x +6.
How high up is the diving board? Enter the numeric answer without a label.


please help

Answers

Oh yes, I mean -11 or either 11

Answer:

6

Step-by-step explanation:

Use the Distributive Property to simplify the expression. 5(x - 1)

Answers

Answer:

5x - 5

Step-by-step explanation:

Answer:

[tex]\bold{5x-5}[/tex]

Step-by-step explanation:

Hi there!

The Distributive property states that

[tex]\bold{a(b+c)=ab+ac}[/tex]

So, we take a number a, multiply it by b and c, and then add the products.

Now, let's solve the given math problem:

[tex]\bold{5(x-1)}[/tex]

[tex]\bold{5x-5}[/tex]

Hope it helps! Enjoy your day!

~Just a teen willing to help others

[tex]\bold{-Besties4Ever:-):-):-):-):-):-)}[/tex]

9. The volume of a triangular prism is 30 cm. Each triangular face has an area of 4 cm. How long is the prism?

Answers

Answer:

12

Step-by-step explanation:

The required length of the triangular prism is given as 15 centimeters.


Given that,
The volume of a triangular prism is 30 cm. Each triangular face has an area of 4 cm, how long the prism is to be determined.

What is volume?

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

Here,
The volume of the triangular prism = 1 / 2[area of face] × length
                                               30  = 1/2 [4] × length
                                          length = 15 cm

Thus, the required length of the triangular prism is given as 15 centimeters.

Learn more about Volume here:
https://brainly.com/question/1578538

#SPJ5

What is the average rate of change of the function f(x) = 4x – 2 over the interval x = –1 and x = 2?

Answers

Answer:

[tex]4[/tex]

Step-by-step explanation:

Given: [tex]f(x)=4x-2[/tex]

To find:  average rate of change of the function [tex]f(x)=4x-2[/tex] over the interval [tex]x=-1[/tex] and [tex]x=2[/tex]

Solution:

Take [tex]a=-1,\,b=2[/tex]

Find [tex]f(a),\,f(b)[/tex]

[tex]f(a)=f(-1)\\=4(-1)-2\\=-4-2\\=-6\\\\f(b)=f(2)\\=4(2)-2\\=8-2\\=6[/tex]

Average rate of change of the function [tex]=\frac{f(b)-f(a)}{b-a}[/tex]

[tex]=\frac{f(2)-f(-1)}{2-(-1)}\\\\=\frac{6-(-6)}{3} \\\\=\frac{12}{3}\\\\=4[/tex]

1. Which of the following linear equations has
a positive slope? Circle ALL that apply.
A. y=-3x - 5
B. y = 5 + 7x
D. X =-4
C. y = 6
E. y =-3x + 2
F. y = {x-2

Answers

Answer:

Step-by-step explanation:

The slope of a line is the coefficient of x. The only ones with a positive coefficient of x are B and F.

Is 16t - 3t equivalent 3t - 16t

Answers

Answer:

No, 16t -3t equals 13t while 3t - 16t equals -13t

Answer:

No,

16t= 16x2=32

3t=3x2=6

32-6=26

3t=3x2=6

16x2=32

6-32=-26

Step-by-step explanation:

t=2?

if you could give the answer without explanation it would be greatly appreciated​

Answers

Answer:

i think its (4, -6)

Step-by-step explanation:

help xxxxxxxxxxxxxxx

Answers

A is the correct answer
Sorry for who ever uploaded the disturbing photos :(
Hope this help and have a nice day!
Here’s a cute dog image to remove the other photo from mind


PLEASE HELP ASAP njjjjdkkdjdjfjf

Answers

Answer:

Its 5 over 8

5/8

Step-by-step explanation:

Jasmine has twice as much money as Madison. Madison has $6 less than Devanie. Together they have $54. How much money does Madison have?

Answers

Answer:

madision be $12

Jasmine be $24

And, the devanie be $18

Step-by-step explanation:

The computation is shown below:

Madison be x

Jasmine be 2x

Devanie be x + 6

And, the total is $54

Now the equation is

x + 2x + x + 6 = $54

4x = $48

x = $12

So madision be $12

Jasmine be $24

And, the devanie be $18

Which of the following is the surface area of the right cylinder below?
A. 204units2
B. 480 units2
C. 408 units2
D. 240ft units2
SIIRMIT

Answers

Answer:

There is no photo all I can say is to re ask this question so that we are able to see a photo.

Step-by-step explanation:

PLEASE Can someone plz help me

Answers

9514 1404 393

Answer:

  $11,988

Step-by-step explanation:

A graphing calculator gives you the answer easily.

The minimum unit cost is $11,988.

__

The equation for unit cost can be put into vertex form to find the minimum.

  C(x) = 0.7x^2 -210x +27738

  C(x) = 0.7(x^2 -300x +150^2) +27738 -0.7(150^2)

  C(x) = 0.7(x -150)^2 -11,988

This is vertex form:

  C(x) = a(x -h)^2 +k . . . . . . . where (h, k) is the vertex.

The vertex of this cost function is (150, 11,988).

The minimum unit cost occurs when 150 engines are produced. That unit cost is $11,988.

Answer:

the answer is $11,988

Step-by-step explanation:

:)

What is the surface area of the image below?

Answers

Surface Area = 2×(28.2×7.6 + 28.2×13.7 + 7.6×13.7) = 1409.56 feet2

Hisako sells dolls at her doll store. If she sells a doll for $35, and there is 6% sales tax, what is the tax amount a customer will pay on one doll?

Answers

Given:

The price of a doll = $35

Sales tax = 6%

To find:

The tax amount that a customer will pay on one doll.

Solution:

The price of doll is $35 and the sales tax is 6%, so the tax amount on a doll is 6% of 35.

[tex]\text{Tax amount}=35\times \dfrac{6}{100}[/tex]

[tex]\text{Tax amount}=\dfrac{210}{100}[/tex]

[tex]\text{Tax amount}=\dfrac{21}{10}[/tex]

[tex]\text{Tax amount}=2.1[/tex]

Therefore, the tax amount that a customer will pay on one doll is $2.1.

1/4x²+11=38
solve by square root method

Answers

1/4 x^2 + 11 = 38

multiply both sides by 4

x^2 + 44 = 152

x^× = 152 - 44

x^2 = 108

x = + or - 6 square root of 3

x¹ = -6 square root of 3

x² = +6 square root of 3

The sum of interior angles of a regular polygon is 24 times the size of exterior angle. Find number of sides of the polygon​

Answers

Answer:

n = 50

Step-by-step explanation:

The sum of interior angles of a regular polygon is 24 times the size of exterior angle. Find number of sides of the polygon​

let the sum of exterior be e

Let the sum of interior be i

IF the sum of interior angles of a regular polygon is 24 times the size of exterior angle, then;

i = 24e

Also sum of exterior angle = 360/n

i + e = 180

24e + e = 180

25e = 180

e = 180/25

e = 7.2

since  sum of exterior angle = 360/n

7.2 = 360/n

n = 360/7.2

n = 50

The number of sides is 50

Plz telll me someoneeee

Answers

Step-by-step explanation:

part 1

Area =2L×2B

2(9in) ×2(6in)

18in×12in

=216in²

Part 2

Area of a triangle =½×base ×height

½×9in×14in

=63cm²

PLEASE HELP ME I’LL GIVE BRILLIANCE TO YOU

Answers

Answer:

the answer for this question is line q

If you pay the minimum payment of $150/month on your $10,000 debt how long will take you to pay off the debt?

Answers

Answer: 5.5 years

Step-by-step explanation:

Answer:

5.55 years or 66.67 months.

Step-by-step explanation:

5.55 years assuming that you are not factoring in interest rates

10000/150 is 66.67 months

divided by 12 months to a year gives you 5.55 years

Which number is irrational?

Answers

Answer: The square root of 81/49 is the answer

Step-by-step explanation:

81/49 hope this helps

I WILL GIVE BRAINLIEST!!!

Answers

g(x)= (x + -5)²  minus -8= 33

Please help and explain please. would appreciate it!

Answers

Answer:

area of ΔAPQ = 8 units²

Step-by-step explanation:

since the dimensions are 1/3 size, the area scale factor will be 1/9.

72/9 = 8 units²

Answer:

Step-by-step explanation:

A/4=72/12

A=4(72)/12

A=24 u^2

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