7 eighty percent of all california drivers wear seat belts. if three drivers are pulled over, what is the probability that all would be wearing their seat belts? worksheet

Answers

Answer 1
4/5*4/5*4/5 =64/125

64/125

Related Questions

I just need the answers and I promise I will give the brainliest whoever comment first

1. Vertex (1,2), Point (2,-5)

2. Vertex (-3,6), Point (1,-2)

3. Vertex (0,5), Point (1,-2)

4. Vertex (1/4, -3/2), Point (1,3)

Answers

Hello,

1: y=-7(x-1)²+2

2: y=-1/2(x+3)²+6

3: y=7x²+5

4: y=8(x-1/4)²-3/2

The abs r us bodybuilding club has an annual membership fee of $414. you plan to visit 8 times each month. how much is your cost per visit during the year?

Answers

Cost of visit per month is $414/12 = $34.5

Cost of individual visit per month = $34.5/8 = $4.3125

Answer:

cost per visit during the year= $4.31

Step-by-step explanation:

The abs r us bodybuilding club has an annual membership fee of $414. you plan to visit 8 times each month

annual membership fee  = $414 times each month

1 year = 12 months

Membership fee for 1 month = 414/12= 34.5

In 1 months total visit is 8

To find the cost per visit we divide the monthly fee by 8

Cost per visit = [tex]\frac{34.5}{8} =4.3125[/tex]

cost per visit during the year= $4.31

The point-slope form of the equation of the line that passes through (–4, –3) and (12, 1) is y – 1 = (x – 12). What is the standard form of the equation for this line?

Answers

      y-y1 = m (x-x1)          y+3 = (1/4)(x+4)                 [using point (x1,y1)]      or          y–1 = (1/4)(x–12)                [using point (x2,y2]   [let's use this one since you did] To put this into Standard Form (Ax+By=C),          y–1 = (1/4)(x–12)           4y - 4 = x - 12          -x + 4y - 4 = -12           [subtract x from both sides]          -x + 4y = -8                 [add 4 to both sides]           x - 4y = 8            [multiply by (-1) to have x-coefficient positive

Answer:

[tex]x-4y=8[/tex]

Step-by-step explanation:

Given : (–4, –3) , (12, 1)

Solution:

[tex](x_1,y_1)=(12,1)[/tex]

[tex](x_2,y_2)=(-4,-3)[/tex]

Two point slope form : [tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

Substitute the given values.

[tex]y-1=\frac{-3-1}{-4-12}(x-12)[/tex]

[tex]y-1=\frac{-4}{-16}(x-12)[/tex]

[tex]y-1=\frac{1}{4}(x-12)[/tex]

Now standard form of equation of line = [tex]Ax+By=C[/tex]

So, [tex]y-1=\frac{1}{4}(x-12)[/tex]

[tex]4(y-1)=(x-12)[/tex]

[tex]4y-4=(x-12)[/tex]

[tex]12-4=x-4y[/tex]

[tex]8=x-4y[/tex]

[tex]x-4y=8[/tex]

Hence  the standard form of the equation for this line is [tex]x-4y=8[/tex]

ABCD∼EFGH

AD=45 in. , EH=75 in. , and AB=30 in.

What is EF ?

Enter your answer in the box.

EF =
in.

Answers

45/75 = 30/x

30*75 = 2250/45 = 50

EF = 50 in.
the answer is EF = 50 in.

The number of adults who attend a county fair (measured in hundreds of people) is represented by the function a(d)=−0.3d2+4d+9 , where d is the number of days since the fair opened. The number of children who attend the same county fair (measured in hundreds of people) is represented by the function c(d)=−0.2d2+5d+11 , where d is the number of days since the fair opened. What function, f(d) , can be used to determine how many more children than adults attend the fair on any day?

Answers

 f(d)=0.1d2+d+2 would be your answer I believe

Given is the function for number of adults who visit fair at day 'd' after its opening, a(d) = −0.3d² + 4d + 9.

Given is the function for number of children who visit fair at day 'd' after its opening, c(d) = −0.2d² + 5d + 11.  

Any function f(d) to find excess of children more than adults can be written as follows :-  

f(d) = c(d) - a(d).

⇒ f(d) = (−0.2d² + 5d + 11) - (−0.3d² + 4d + 9)

⇒ f(d) = -0.2d² + 0.3d² + 5d - 4d + 11 - 9

⇒ f(d) = 0.1d² + d + 2

Given the following functions f(x) and g(x), solve (f + g)(3) and select the correct answer below:

f(x) = 2x + 21

g(x) = x − 24

A)−27
B)−21
C)6
D)48
I THINK ITS D BUT IM NOT SURE HELP ME PLEASE IM RIGHT?,

Answers

You can evaluate the functions separately, then add results:
.. f(3) = 2*3 +21 = 27
.. g(3) = 3 -24 = -21
(f +g)(3) = f(3) +g(3) = 27 -21 = 6

Or, you can find the combined function and evaluate that for x=3.
.. (f +g)(x) = f(x) +g(x)
.. = (2x +21) +(x -24)
.. = 3x -3
The
.. (f +g)(3) = 3*3 -3 = 6

Either way, the best choice is C) 6.

The expression sin x (cos x cot x - sin x) simplifies to?

Answers

◆ Trigonometric Identities ◆

Hey !!

Check the attachment.
Hope it helps you :)
this is the correct answer. I just got it wrong on my quiz but this was the right option. cos(2x)

Choose all that are correct.

An inscribed angle measures 80° with an arc measurement of 160°.

An inscribed angle measures 30° with an arc measurement of 15°.

A central angle measures 50° with an arc measurement of 25°.

An arc measures 40° with an inscribed angle is 20°.

Answers

Answer: Second and third options are correct.

Step-by-step explanation:

As we know that

Angle at the center is the double the angle formed at the circumference of the circle.

So, An inscribed angle measure  30° if the angle formed at the circumference ( an arc measurement is of 15°)

Similarly, A central angle measures 50° with an arc measurement of 25°.

Hence, Second and third options are correct.

Answer:

The answer is the first one and the last one.

An inscribed angle measures 80° with an arc measurement of 160°.

and

An arc measures 40° with an inscribed angle is 20°.

the guy above is wrong do not do his answers

What’s the answer to this?

Answers

The answer is A. Notice that the origin (0,0) of the old graph is moved to (-6,1) on the new graph. The graph has been moved 6 units left and 1 unit up. So the new graph is f(x)=\cbrt(x+6)+1, where x+6 accounts for the horizontal translation and +1 accounts for the vertical translation. 

Which equation is in standard form and represents a line with slope 5 through the point (0, 2)?

Answers

Hey there! :D

We can put this through point slope first.

y-y1= m(x-x1)

y-2= 5(x-0)

y-2= 5x

Ax+By= C <== standard form

Subtract y from both sides. 

-2= 5x-y <== standard form

I hope this helps!
~kaikers


Hey there!

Just follow the steps that Kaikers said XD She is soooo smart

Always remember, you are a Work Of Art!
- Nicole <3 :)

Guillermo is a professional deep water free diver. his altitude (in meters relative to sea level), xxx seconds after diving, is modeled by g(x)=\dfrac{1}{20}x(x-100)g(x)= 20 1 ​ x(x−100)g, left parenthesis, x, right parenthesis, equals, start fraction, 1, divided by, 20, end fraction, x, left parenthesis, x, minus, 100, right parenthesis what is the lowest altitude guillermo will reach?

Answers

Answer: The maximum depth that he will reach is -125 meters.

The first thing you should realize is that this is a quadratic equation and the graph will be a parabola.

We can simply the equation to:

y = (1/20)x^2 - 5x

Now, use -b/2a to find the x-value of the vertex which is 50. Then, input 50 back into the equation to get -125 for the maximum depth.

Answer:

-125 meters.

Step by step explanation:  

We have been given that Guillermo is a professional deep water free diver. his altitude (in meters relative to sea level), x seconds after diving, is modeled by [tex]g(x)=\frac{1}{20}x(x-100)[/tex].

We have been given a quadratic function and the minimum value will occur at vertex.

First of all we will write it in standard quadratic form by using distribution property.

[tex]\frac{x^{2}}{20}-\frac{100x}{20}[/tex]

[tex]\frac{x^{2}}{20}-5x[/tex]  

Now we will find vertex of our parabola using [tex]x=\frac{-b}{2a}[/tex]

[tex]x=\frac{-(-5)}{2(\frac{1}{20})}[/tex]

[tex]x=\frac{5}{(\frac{2}{20})}[/tex]

[tex]x=\frac{5\times20}{2}[/tex]

[tex]x=5\times10[/tex]

[tex]x=50[/tex]

Now let us substitute x=50 in our quadratic function to find lowest altitude of Guilermo.  

[tex]g(50)=\frac{50^{2}}{20}-5\times 50[/tex]

[tex]g(50)=\frac{2500}{20}-250[/tex]

[tex]g(50)=125-250[/tex]

[tex]g(50)=-125[/tex]

Therefore, the lowest altitude Guilermo will reach is -125 meters.          







A cone-shaped hole is drilled into a solid cube of metal as shown. If the cube has sides of length 9 cm, what is the volume of the metal after the hole is drilled? Let π ≈ 3.14 and round your answer to the nearest tenth.

Answers

the anwser is the cicumferintes of the circle - 4

draw and label a figure that has 4 points, 2 rays, and 1 right angle.

Answers

This image has 4 points, 2 rays, and 1 right angle. 

The points are: A, B, C, D, E, and F. 

The rays are: BA, BF, BD, CD, and CE

The right angle is located in the bottom left corner of the rectangle, however there are three other right angles in the upper and lower corners of the rectangle. 

Answer:

 Figure attached below.

Step-by-step explanation:

To draw and label - A figure that has 4 points, 2 rays, and 1 right angle.

Image is attached below.

This image has 4 points, 2 rays, and 1 right angle. 

The point is a dot from which a line form.

The point s are: A, B, C, D.

A ray is starts out at a point and continues off to infinity.

The rays are: BA, BF, BD, CD, and CE

An angle is the angle formed between two rays .

The right angle is at B i.e, 90°


Easy Math Problem....
A bat and a ball cost one dollar and ten cents in total. The bat costs a dollar more than the ball. How much does the ball cost?

Incorrect answers will be reported!

Answers

Hello there!

We can make an equation 

x = bat and y = ball

x + y = $1.10

x + $1 = y 


y must equal 5 cents 

5 cents plus 1 dollar 5 cents = 1.10

Hope I was of assistance!

~ Fire


WILL GIVE BRAINLIEST FOR CORRECT ANSWER

8. Find the value of x. Round the length to the nearest tenth. The diagram is not drawn to scale. EXPLAIN HOW YOU GOT THE ANSWER OR YOU DONT GET THE BRAINLIEST

Answers

The value of x in the triangle using the principle of Pythagoras is 2879.4 meters

Given the right angle triangle :

The angle of elevation = 10°Opposite side = 500 mx = hypotenus

Recall :

SOHCAHTOA

Using the relation :

Sin θ = opposite / hypotenus

Sin 10° = 500 / x

Cross multiply :

x(sin 10°) = 500

0.1736481x = 500

x = 500 / 0.1736481

x = 2879.39 meters

Therefore, the value of x in the triangle is 2879.4 meters.

Learn more :https://brainly.com/question/3770177?referrer=searchResults

Answer: 2879.39 meters

Step-by-step explanation:

What is the value of 238 - 3x^2 when x=4??

Answers

x=4

=238 - 3x^2
substitute 4 for x
=238 - 3(4)^2
multiply exponents first
=238 - 3(16)
=238 - 48
=190

ANSWER: 190

Hope this helps! :)

Given f(x)=4x^2−5 and g(x)=x+3 . What is (fg)(x) ?

Answers

(fg)(x)=f(g(x))=4(g(x))²-5=4(x+3)²-5=4x²+24x+31

The Main answer is  [tex](fg)(x)=4x^{3} +12x^{2} -5x-15.[/tex] Given  [tex]f(x)=4x^{2} -5[/tex]  and [tex]g(x)=x+3[/tex] the value of  [tex](fg)(x)[/tex] is  [tex](fg)(x)=4x^{3} +12x^{2} -5x-15.[/tex]

To find the product of two functions [tex]f(x)[/tex] and [tex]g(x),[/tex] denoted as [tex](fg)(x)[/tex], we simply multiply the two functions together.

Given [tex]f(x)=4x^{2} -5[/tex] and [tex]g(x)=x+3[/tex], we multiply them to get [tex](fg)(x)[/tex]:

[tex](fg)(x)=f(x)*g(x)=(4x^{2} -5)*(x+3).[/tex]

Now, we distribute [tex]4x^{2} -5[/tex] across [tex](x+3)[/tex]:

[tex](fg)(x)=4x^{2} *(x+3)-5*(x+3).[/tex]

Expanding further:

[tex]=4x^{3} +12x^{2} -5x-15.[/tex]

So, [tex](fg)(x)=4x^{3} +12x^{2} -5x-15.[/tex]

COMPLETE QUESTION:

Given  [tex]f(x)=4x^{2} -5[/tex]  and [tex]g(x)=x+3[/tex]. What is [tex](fg)(x)[/tex]?

If Thomas wants a volume of 12 in3, what size does the cutout need to be? What would be the dimensions of this box?

Answers

They can be a variety of dimensions but to find volume you multiply length*width*height= volume. So the dimensions can be 2 by 2 by 3. 

Lyle deposited a check for $75.26. He’ll use the check register to record his transaction. What will be his new balance?

Answers

Answer

$896.44

Explanation

Remember that to get the current balance, you subtract all the debits from balance and add all the deposits to it.

We know from our table that the first transaction is medical bill, which is debit, so we are going to subtract the medical bill from the balance to find the  balance at that point in time.

Balance = $862.74 - $41.56 = $821.18

We also know that the second transaction is a check deposit for $75.26, so to find the current balance, we just need to add $75.26 to our previous balance.

Current balance = $821.18 + $75.26 = $896.44

Answer:

its B

Step-by-step explanation:

Samantha’s younger brother just turned 3 years old. Fred’s brother is now 30 months old. Who brother is older? Explain

Answers

1. You have that:
 
 - Samantha’s younger brother  turned 3 years old.
 - Fred’s brother is 30 months old.
 
 2. one (1) year has twelve (12) months. Keeping this on mind, you have to follow the proccedure below:
 
 3 yearsx12 months=36 months
  
 3. As you can see, Samantha’s younger brother just turned 36 months old  and Fred’s brother is 30 months old. Therefore, you can conclude that Samantha’s younger brother is older than Fred’s brother.


tan(x+pi/2)= negative cot x

Answers

I'm only going to alter the left hand side. The right side will stay the same the entire time

I'll use the identity tan(x) = sin(x)/cos(x) and cot(x) = cos(x)/sin(x)
I'll also use sin(x+y) = sin(x)cos(y)+cos(x)sin(y) and cos(x+y) = cos(x)cos(y)-sin(x)sin(y)

So with that in mind, this is how the steps would look:

tan(x+pi/2) = -cot x
sin(x+pi/2)/cos(x+pi/2) = -cot x
(sin(x)cos(pi/2)+cos(x)sin(pi/2))/(cos(x)cos(pi/2)-sin(x)sin(pi/2)) = -cot x
(sin(x)*0+cos(x)*1)/(cos(x)*0-sin(x)*1) = -cot x
(0+cos(x))/(-sin(x)-0) = -cot x
(cos(x))/(-sin(x)) = -cot x
-cot x = -cot x

Identity is confirmed

A man wants to make up 100 one-pound jars of nuts to sell for 66 cents a jar. He plans to use 40 pounds of nuts worth 75 cents a pound. What should be the price of the other type of nuts he uses? Answer:

Answers

He has 60 pounds that cost x cents/pound
He has 40 pounds that cost 75 cents/pound
He wants to sell 100 pounds for 66 cents a pound.

The equation looks like this.
40*75 + 60*x = 100*66 
3000 + 60x = 6600 Subtract 3000 from both sides.
60x = 6600 - 3000
60x = 3600 Divide by 60
x = 3600/60
x = 60

He needs to mix 60 pounds of 60 cent nuts

60 cents a pounds is needed.

From the question, we are given that:

100 one pound of nut to sell for 66 percent a jar 40 pound of nuts worth 75 cents a pound

Since the question says he plans to use 40 pounds and he wants to make up 100 pounds jar of nut, therefore you should know that 60 pounds of the nuts is needed.

Further Explanation

Let Y be the price of 60 pounds of nuts

Therefore, the equations should as follows:

(40 x 75) + (60 x y) = 66 x 100

= 3000 + 60y = 6600

60y = 6600 – 3000

60y = 3600 (divide both side by 60)

60y/60 = 3600/60 (60 cross out 60)

Y = 3600/60

Y = 60  

Therefore, 60 cents a pounds is needed.

LEARN MORE:

A man wants to make up 100 one-pound jars of nuts to sell for 66 cents a jar. https://brainly.com/question/8565795A grocer mixed nuts worth 80 cents per pound with nuts worth 50 cents per pound. https://brainly.com/question/8080590

KEYWORDS:

66 cents jar40 pounds of nut100 one-pound60 cents75 cents a pound

The U.S. government borrows money by _____.

A. asking banks or foreign investors
B. printing money
C. issuing stocks
D. issuing Treasury bonds and other government-backed securities

Answers

 D. Issuing Treasury bonds and other goverment-backed securities.
-Hope this helps :)

Answer:

D. issuing Treasury bonds and other government-backed securities

Step-by-step explanation:

Governments create debt by issuing government bonds and bills. Less creditworthy countries sometimes borrow directly from a supranational organization (e.g. the World Bank) or international financial institutions.

Treasury bonds are how the US - and all governments for that matter - borrow hard cash: they issue government securities, which other countries and institutions buy. So, the US national debt is owned mostly in the US - but the $5.4tn foreign-owned debt is owned predominantly by Asian economies.

4(5y − 8 − 2) = 185 − 15 solve that pls

Answers

plug in 10.5 into the equation you should get 170 witch is 185-15 so y= 10.5

What is measure of angle P?

Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.

Answers

Sin P = opp/hyp
sin P = 15/17
P = sin⁻¹(15/17)
P = 61.93° (nearest hundredth)

Answer:

The measure of angle P is 61.93°

Step-by-step explanation:

We are given a right triangle with measures 8 cm, 15 cm and 17 cm.

For angle P, we see that,

Perpendicular = 15 cm

Hypotenuse = 17 cm

Using the trigonometric forms of the angles, we have,

[tex]\sin P=\frac{Perpendicular}{Hypotenuse}[/tex]

i.e. [tex]\sin P=\frac{15}{17}[/tex]

i.e. [tex]\sin P=0.88235[/tex]

i.e. [tex]P=\arcsin 0.88235[/tex]

i.e. P = 61.93°

Hence, the measure of angle P is 61.93°.

BRAINLIEST ANSWER!!!!!!!!!!!!!!!!!!!!!!! HELP PLZ!!!!!! Use the net to determine the lateral surface area.

The net of a triangular prism with the height of 4 inches, and each leg of the triangular base is 6 inches and its height is 5.2 inches is laid flat.

**i can't paste the picture, so this is all I have. If you can please help, i would appreciate it so much. plz help, ty!

Answers

THe lateral surface consists of 3 rectangles whose dimensions are 6*4  so lateral surface area = 3*24  = 72 in^2.

Write the quadratic equation y= x^2 -6x + 7 in vertex form

Answers

y=(x-3)^2-2

I hope this helps!

Three coins are in a bag. the first coin flips heads with probability 50%, the second coin flips heads with probability 60%, and the third coin flips heads with probability 70%. i pull out a coin and flip heads. if i flip this coin again, what is the probability i will get heads?

Answers

It is going in order so my guess is 80%

Final answer:

The probability of flipping heads again after already flipping heads once is 50%

Explanation:

The probability of getting heads when flipping a coin twice can be calculated by multiplying the probabilities of getting heads each time. Let's calculate the probability step by step:

Pick a coin: Each coin has a probability of being picked, so the probability of picking any of the three coins is 1/3.The probability of picking a coin that flips heads is 50%, since the first coin has a 50% probability of flipping heads.Flip the coin: Since we know the coin flips heads, the probability of getting heads on the second flip is still 50%, regardless of which coin was picked.

Therefore, the probability of getting heads on the second flip is 50%.

Which expression is equivalent to (x - 6) (2x2 - 3x + 4)? 2x2 - 2x - 2 2x2 - 2x + 4 2x3 - 3x2 + 4x - 6 2x3 - 15x2 + 22x - 24

Answers

(x -6)(2x² -3x +4) = 2x³ -15x² +22x -24

The 4th selection is appropriate.

_____
You only need to look at the constant term of the product (-6)(+4) = -24 to choose the correct answer.

What is the perimeter of 10 and 12?

Answers

Hi there!

To find the perimeter of a rectangle, we need to add all of its side lengths together.

10 + 10 + 12 + 12 = 44

So, the perimeter of the rectangle is 44 units.

Hope this helps!
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If her commission rate is 5%, find her gross earnings. Employees who are paid a portion of the profit from the sale of a product or service are paid on a(n) _____ basis. salary commission hourly contract Lottery organizers heavily promote the jackpot winners so that people are continually hearing about those who've won big. by contrast, players hear almost nothing about the vast majority of people who haven't won a single dollar. this tactic draws upon which type of bias? Read this summary of the story of Frankenstein.Frankenstein is a story about a man, Victor Frankenstein, who is so driven by his desire to uncover the secret of life that he uses his scientific knowledge to bring to life a monstrous being. Despite pouring all of his hope and energy into the effort, Victor is horrified by the creature he has created and abandons it. The creature, though hideous, still has human feelings and behaviors and acts out its feelings of rejection. In the events that follow, the creature turns against Victor and directly or indirectly causes harm to many of the most important people in Victors life. Victors life is forever changed as he is consumed by guilt for creating the monster and by the desire to stop the creature from inflicting more violence. Finally, exhausted by his mental and physical battle against the monster and all it represents, Victor dies. The story of Frankenstein is an allegory that conveys the idea that those who intentionally defy divine or natural law bring serious consequences upon themselves and others. Based on this summary of Frankenstein, which theme is most developed in the story through the use of allegory?A) Scientific thought and morality are opposing forces.B) People are rarely accountable for consequences of their actions.C) Individuals are ultimately responsible for their actions.D) Spirituality may inhibit the pursuit of knowledge. 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