Cars are either​ race-car fast, slightly​ fast, or normal. It turns out that ​10% of all cars are​ race-car fast, ​40% are slightly​ fast, and 5% are normal. Of those that are​ race-car fast ​70% are​ red, as are ​45% of those that are slightly​ fast, and ​30% of those that are normal. what is the probability that a randomly selected car is red given that it is normal?

Answers

Answer 1

Answer:

Probability = 37.5%

Step-by-step explanation:

Prob (Race fast) = 10%, Prob (Slight Fast) = 40%, Prob (Normal Car) = 50%

Prob (Red Car) = 70% of race fast cars, & 45% of slight fast cars, & 30% of Normal cars, & = (70% x 10%) + (45% x 40%) + (30% x 50%) = 7% + 18% + 15% = 40%

Prob (Normal & Red Car) = 30% of 50%  = 15%

Prob (Red car I Normal car) = Prob (Red & Normal Car I Normal Car) =  15% / 40% = 37.5%


Related Questions

Tell if the number is rational or irrational. 3.65028​

Answers

Answer:

Irrational

Step-by-step explanation:

Answer: YES

Explanation: 3.65028 is a terminating decimal, or decimal that ends, and all terminating decimals are rational numbers.

Write an equation to represent the following statement.
33 is 15 less than k.

Answers

Answer:

33=k-15

Step-by-step explanation:

I hope this helps:)

. Which of the following is the correct algebraic representation of the translation below?


a. (x – 6, y – 5)
b. (x – 5, y – 6)
c. (x + 5, y + 6)
d. (x + 6, y + 5)

Answers

Answer:

D) (x+6, y+5)

Step-by-step explanation:

You can start with the top corner of triangle A

Then count up 5 units and right 6 units

Because you count vertically 5 units that means you're using the y-axis, And because you're counting up, than means the values are positive.

And because you count horizontally 6 units you're using the x-axis, And you are counting to the right so the values are positive.

Down vertically=Negative Y-axis Values. Up vertically=Positive Y-axis Values

Right horizontally=Positive X-axis values. Left horizontally=Negative X-axis Values

Emma bought a pair of earrings, a dress and a coat. The dress cost 6 times as much as the earrings, and the coat cost 13 times as much as the earrings. If the three items cost a total of $3200, how much did each of them cost?

Answers

Answer:cost of earring=$160

cost of dress=  $960

cost of coat =$2,080

Step-by-step explanation:

Let cost of earring be represented as x

so that the cost of dress =6x

And the cost of coat =13x

Since the  three items cost a total of $3200, we can develop an equation which can be represented as

cost of earring+cost of dress +cost of coat =3200

x +6x+13x=3200

20x =3200

x=3200/20=160

THerefore cost of earring=$160

cost of dress=  6x =$160 x 6=$960

cost of coat = 13x = $160 x 13=$2,080

38% of y is 494, what is y?

15% of c is 49, what is c?

Answers

Answer:

y= 1,300

c= 326.67

Step-by-step explanation:

Please help me with this homework show me how you get it and the answer

Answers

Answer:

226.08

Step-by-step explanation:

V=pir^2h

=3^2 x pi x8

=226.08

5. If p(x) = 2^2, what is the value of p(3) - P(2) ?
1) 1
2) 2
3) 6
4) 4

Answers

The answer would be 4)4

Use elimination to solve the system of equations. what is x and y

3x – 2y = 24
x + 2y = 48

Answers

Answer:

X=7 Y=5

Step-by-step explanation:

please help fast with an explanation if you can!

Answers

Answer:

5:8 or 5 to 8

Step-by-step explanation:

Its saying oranges (5) to bananad (8)

so 5 to 8

The average of the first 3 numbers was 28. The average of the next 12 numbers was 38. What was the overall average of the numbers?
***NO SPAM, PLEASE!!!!!!***

Answers

Answer:

ther overall average would be 36

Step-by-step explanation:

A frosting is made of cream cheese and powdered sugar in the ratio 3:2. If you use 120g or cream cheese, how much powdered sugar should you use

Answers

Answer: 80 g

Step-by-step explanation:

Given

The frosting is made of cream cheese and Powdered sugar in the ratio of 3:2.

If 120 g of cheese is used

Assume the quantity of powdered sugar is x

So, we can write the ratio as

[tex]\Rightarrow \dfrac{3}{2}=\dfrac{120}{x}\\\\\Rightarrow x=\dfrac{2}{3}\times 120\\\\\Rightarrow x=\dfrac{2}{3}\times 3\times 40\\\\\Rightarrow x=80\ g[/tex]

So, 80 g of powdered sugar is used.

Answer: 80grams

Step-by-step explanation: pretty simple 120/3=40. 40x2=80 grams. Sorry for explanation not being really clear.

Help me with my ixl please?!?

Answers

Answer:

funding a stuggling

Step-by-step explanation:

what is the difference between slope and a common ratio?

Answers

Answer:they are solved in a different manner

Step-by-step explanation:

Step-by-step explanation:

slope:

In math, slope is the ratio of the vertical and horizontal changes between two points on a surface or a line. The vertical change between two points is called the rise, and the horizontal change is called the run. The slope equals the rise divided by the run: . This simple equation is called the slope formula.

common ratio:

The constant factor between consecutive terms of a geometric sequence is called the common ratio.

Example: To find the common ratio , find the ratio between a term and the term preceding it. r=42=2. 2 is the common ratio.

Based on equation of the line of best fit how much money should Millie expect to earn if he works a five hour shift?

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]x = 5[/tex] ---- 5-hour shift

Required

The expected earnings

The question is incomplete, as the equation is not given. A general way to solve this, is to substitute the value of x in the equation, then solve for the y variable.

Take for instance, the equation is:

[tex]y = 10x + 2[/tex]

The expected earnings will be:

[tex]y = 10*5 + 2[/tex]

[tex]y = 50 + 2[/tex]

[tex]y = 52[/tex]

Expected Earnings = $52

Can someone please show me how to do this, I know the answer is 125 a^3 b^2.
The question is shown below in a picture I’m not sure how to do it please explain!

Answers

Answer:

Step-by-step explanation:

5^4 = 625. I hope your calculator will do this.

625 / 5 = 125

There is a more general way to do this which will be in harmony with the rest of the question.

5^4 / 5^1 = 5^(4 - 1) = 5^3 = 125

b^4 / b2 = b^(4 - 2) = b^2

a remains as it is at a^3

So the answer is 125 a^3 b^2

Amy is baking her famous pies to sell at the Town Fall Festival. She 1 point
uses 32 /4 cups of flour for every 1/2 batches of pie that she makes. How
many cups of flour would Amy use for 7 batches of pie?
A. 21 1/2 cups
B. 112 7/8 cups
C. 150 72 cups
D. 225 34 cups

Answers

Answer:

Step-by-step explanation:

A

Please help question is in image

Answers

Answer:

K

Step-by-step explanation:

I THINK IT'S SHAPE IS SQUARE. IT HAS FOUR SIDES.

I THINK THE NAME IS TRUCK DIRVER DRUNKED LOL

TE-PAHADI GAMING

Help out please and thank you

Answers

Answer:

Type: Quartic

Fourth-degree polynomials are also known as quartic polynomials.

Constant Term: [tex]\frac{1}{9}[/tex]

Number Of Terms: 4

Leading Term: [tex]-x^{4}[/tex]

Leading Coefficient: -1

Independent Practice

Now practice solving some problems.


Find the x- and y-intercepts of the equation.


–6x + 3y = –9


A.
− 3 ; 3/2


B.
3/2; −3


C.
−3/2; 3


D.
3; −3/2

Answers

Answer:

B.

3/2; −3

Step-by-step explanation:

To find the x-intercept, substitute in  0  for  y  and solve for  x  . To find the y-intercept, substitute in  0  for  x  and solve for  y .

x-intercept(s):  ( 3 /2 , 0 )  

y-intercept(s):  ( 0 , − 3 )

y=
y=
\,\,x^{2}+1
x
2
+1

Answers

Answer:

numbers are fun

Step-by-step explanation: teacher

What is m∠BAC.

............

Answers

Answer:

37 degrees

Step-by-step explanation:

1. m∠CBA = 71+45 = 116 degrees

2. m∠CBA = m∠CDA because of the quadrilateral property of opposite sides.

3. m∠CBA + m∠CDA = 2*116 = 232.

4. Total angle measure of a quadrilateral is 360 degrees, so m∠BAD + m∠BCD = 360-232 = 128 degrees.

5. m∠BAD = m∠BCD = 128/2 = 64 degrees

6. m∠BAC = m∠BAD - m∠CAD = 64 - 27 = 37 degrees

What is 28.5/42 simplified

Answers

Answer: 28/42 as a fraction simplified is 2/3

Hope this helped

FREEEE POINTS REALLY

Answers

Answer:

x is less than 46

x<46°

Step-by-step explanation:

............

Those with celiac disease must avoid cakes, cupcakes, pizza dough and tortillas unless the product is gluten free

A.True
B.False

Answers

It should be true bc it would mess with their stomach!

Find the measure of side c. Triangle A B C has a right angle at angle C. The measure of angle A is 29 degrees. Hypotenuse A B is labeled "c" and leg B C is labeled "a = 33 meters." 29 o c a = 33 m

Answers

Given:

In triangle ABC, right angle at angle C.

[tex]a = 33[/tex] meters

[tex]m\angle A=29^\circ[/tex]

To find:

The measure of side c.

Solution:

In a right angle triangle,

[tex]\sin \theta =\dfrac{Perpendicular}{Hypotenuse}[/tex]

It is also written as:

[tex]\sin \theta =\dfrac{Opposite}{Hypotenuse}[/tex]

In triangle ABC, angle C is a right angle. It means the side c is the hypotenuse.

In triangle ABC,

[tex]\sin A=\dfrac{a}{c}[/tex]

[tex]\sin 29^\circ=\dfrac{33}{c}[/tex]

[tex]c=\dfrac{33}{\sin 29^\circ}[/tex]

On further simplification, we get

[tex]c=\dfrac{33}{0.4848}[/tex]

[tex]c=68.0693[/tex]

[tex]c\approx 68.07[/tex]

Therefore, the measure of side c is 68.07 meters.

i really need help on this i’m confused

Answers

Ummm what u want me to do

Solve for m.
3m = 15

A. m = 45
B. m = 35
C. m = 12
D. m = 5​

Answers

Answer:

D.

Step-by-step explanation:

Have a Nice Day

Answer:

it's D.

Step-by-step explanation:

can someone please help me with this?? im trying to correct answers and i need help

Line CB is tangent to circle A at point B. The measure of angle CBA is ___ degrees.

Answers

Answer:

90° is correct answer. :)

Please help me with this. And my teacher said to show your work so what do I have to do and she said on paper please help thank you!

Answers

Answer:

Step-by-step explanation:

V=H x W x  L  so 11.25= H (1.5) (2);  3H=11.25 so the height of one box is 3.75’

To find the volume of 5 stacked boxes multiply the volume of one box by 5.

5(3.75 x 1.5 x 2) which is 20.25 cubic feet.

Find the radius r of the circle. Round your answer to the nearest tenth.

Answers

Answer:

76.2 yd

Step-by-step explanation:

180 ÷30 = 6

12.7 × 6 = 76.2

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