In a local car lot, 1/6

of the cars have standard transmissions. Find the

probability that 3 of 4 randomly-selected cars have standard transmissions.

Answers

Answer 1

Answer: [tex]\dfrac{5}{324}[/tex]

Step-by-step explanation:

Given

Probability that car has a standard transmission is [tex]\frac{1}{6}[/tex]

So, the probability that the car does not have transmission is

[tex]1-\dfrac{1}{6}=\dfrac{5}{6}[/tex]

Probability of that 3 out of 4 randomly selected cars have standard transmissions is given by selecting 3 cars with standard deviation and then multiply by their respective probabilities

[tex]\Rightarrow P=^4C_3\cdot \left(\dfrac{1}{6}\right)^3\cdot \left(\dfrac{5}{6}\right)\\\\\Rightarrow P=4\times\dfrac{5}{6^4}\\\\\Rightarrow P=\dfrac{20}{1296}\\\\\Rightarrow P=\dfrac{5}{324}[/tex]


Related Questions

round 11.475 to the nearest percent plz

Answers

Answer:

11.5 I think??

Step-by-step explanation:

11.475 rounded to the nearest percent would be 11. Rounded to the nearest tenth would be 11.5

Jalen is trying to set a pole that is 10 ft long into the ground so that it is perpendicular with the horizontal surface. Jalen locates a point 6 feet from the base of the pole, at C, and labels it A then he measures the distance from point a to b what distance to the nearest tenth of a foot does haley need for the pole to be perpendicular

Answers

Answer:

The distance from point A to B that Haley needs for the pole to be perpendicular is:

11.66 feet.

Step-by-step explanation:

To solve this exercise, imagine that it is a triangle, where the height is the pole, which is 10 feet, and the base of the triangle is the distance between the base of the pole and the point located by Jalen and called C, which it would have a measurement of 6 feet, finally, the measurement between A (the point located six feet) and B (the highest part of the pole) would correspond to the hypotenuse of a triangle,

Therefore, having these two measures, you could use the Pythagorean theorem to find the hypotenuse of a triangle with those measures and solve it, remember that the Pythagorean theorem is:

Hypotenuse^2 = opposite leg^2 + adjacent leg^2

We replace the values given in the exercise:

Hypotenuse^2 = (10 ft)^2 + (6 ft)^2Hypotenuse^2 = 100 ft^2 + 36 ft^2[tex]\sqrt{hypotenuse^{2} }[/tex] = [tex]\sqrt{100 ft^{2} +36ft^{2} }[/tex]Hypotenuse = [tex]\sqrt{136ft^{2} }[/tex]Hypotenuse = 11.66 ft approximately.

In this form, Jalen can be sure the pole is perpendicular to the ground when the distance from point A to B is 11.66 ft approximately.

13. Maddy received $100 for her birthday and decided to go shopping. She bought 2 shirts priced at
$ 12.25 each, a necklace for $8.50, and a pair of shoes for $22.75. If all the prices included tax,
what is the total amount Maddy spent?

Answers

She spent 55.75. You add them all together so you get 12.24+12.24+8.50+22.75 and then you’d get the answer 55.75

This poem is an example of which of the following? *

penguin
black, white
waddling, swimming, leaping
A tuxedo in cold water
Emperor

A. Sonnet
B. Cinquain
C. Haiku
D. Limerick

Answers

The answer is B. Cinquain. It is describing a penguin

Answer:

a

Step-by-step explanation:

Find the surface area of the ball shown. Use 3.14 for pie.

Radius is 17cm

The ball has a surface area of about ? Cm^2

Answers

Answer:

[tex] \displaystyle S _{ \text{sphere}} =3629.84 {cm}^{2} [/tex]

Step-by-step explanation:

we are given a ball

remember that,a ball is a Sphere

thus,

[tex] \displaystyle S _{ \text{sphere}} = 4\pi {r}^{2} [/tex]

given that, redious is 17 cm

substitute:

[tex] \displaystyle S _{ \text{sphere}} = 4 \times \pi \times {17}^{2} [/tex]

simplify square:

[tex] \displaystyle S _{ \text{sphere}} = 4 \times \pi \times 289[/tex]

substitute the approximate value of π:

[tex] \displaystyle S _{ \text{sphere}} = 4 \times 3.14 \times 289[/tex]

simplify multiplication:

[tex] \displaystyle S _{ \text{sphere}} =3629.84[/tex]

hence, the surface area of the sphere is 3629.84 cm²

Need help with this problem, any help I could get?

Answers

Answer:

D) 2x + y = 4

Step-by-step explanation:

2x + y = -6 and 2x + y = 4 will not have any solution because -6 ≠4

“7a - 17 = 4a +1”

Step by step pls

Answers

Answer:

a = 6

Step-by-step explanation:

7a-17 = 4a +1 ; Subtract 4a from both sides

3a - 17 = 1 ; Add 17 to both sides

3a = 18 ; Divide both sides by 3

a = 6

7a-17=4a+1

7a-4a=1+17

3a=18

a=6

Fran and Lamar are walking they walk 5 kilometers frans starts walking at 45 meter per minute Lamar starts 5 minutes later at 50 meters per minute how many minutes will lamar catch up to fran how far will they have walk

Answers

Answer:

The time Lamar will catch up to Fran is 50.26 mins and they would have walked 2.5 km each.

Step-by-step explanation:

Given;

total distance walked by both Fran and Lamar, d = 5 km = 5,000 m

speed of Fran, = 45 m/min

speed of Lamar, = 50 m/min

Let the time Lamar catch up to Fran = t (mins)

At the time "t" Lamar would have walked a distance of 50(t),

At the time "t" Fran would have walked a distance of 45(t + 5)

The total distance they walked; d = 50t  +  45(t + 5)

5000 = 50t  +  45(t + 5)

5000 = 50t  + 45t + 225

5000 - 225 = 95t

4775 = 95t

t = 4775/95

t = 50.26 mins

The distance walked by Frans: = 45 (50.26 + 5)

                                                    = 2487 m

The distance walked by Lamar: = 50 (50.26)

                                                    = 2513 m

can anyone help?? I’ll give brainliest! :)

Answers

Answer:

I believe the answer is C

Please help the questions are in the picture above

Answers

Not sure if I'm right but I think it's 3(x - 6) (x^2 + 5x)

Step-by-step explanation:

3x^3 - 3x^2 - 90x

Apply GCF: 3 (x^3 - x^2 - 30)

Split 30 into -6 and 5

(x^3 - 6x^2) (5x^2 - 30x)

GCF of both: x^2 (x - 6) and 5x (x - 6)

DON'T FORGET TO CARRY THE 3

And your answer is 3 (x - 6) (x^2 + 5x)

What is the measure of

Answers

Answer: Measure of what?

Answer:

measurement of what-?

I’m giving brainliest to who answers correct!

Answers

Answer:

y = 1/2x + 2

Step-by-step explanation:

for x=10, y=7

for x=20, y=12

for x=30, y=17

y = 1/2x + 2

keyonna and rachel hand out pencils for the class. there are 10 pencils. they only need 3/5 out of the pencils. how many pencils do they need?

Answers

Answer:

About 6 pencils

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

in order to solve this, you need to multiply 3/5 and 10:  [tex]\frac{3}{5}[/tex] × 10

to do this, first multiply 3 and 10: 3 x 10 = 30

now divide 30 by 5: 30 ÷ 5 = 6

What is the value of y-x?

A. 20

B. 30

C. 45

Answers

B! Angles of big triangle: x + 2x + 90=180, x=30. If x=30, y=60, by sum of angles in triangle. 60-30=30

Giving brainlist to whoever answers

Answers

Answer:

144m2

Step-by-step explanation:

I think very carefully on my brain is it cirrect?

A tepee with a dirt floor in the shape of a right cone has a slant height of 26 feet and a radius of 12.5 feet. Approximately how much canvas would be needed to cover the tepee?

Answers

Answer:

help me with this please

Solve the following quadratic function
by utilizing the square root method.
y = 16 – x2

Answers

Step 1) y=16-x2. Swap the sides so that all terms of the variables are on the left side. Step 2) 16-x_{2}=y. Subtract 16 from both sides. Step 3) -x_{2}=y-16 Divide the two sides by -1. Step 4). \frac{-x_{2}}{-1}=\frac{y-16}{-1} Dividing by -1 undoes the multiplication by -1. Step 5). x_{2}=\frac{y-16}{-1} Step 6) dived y-16 by -1 And the final answer = x_{2}=16-y


what is the value of x WILL GIVE BRAINLIEST ANSWER

Answers

Answer:

x = 116°

Step-by-step explanation:

number of degrees in a pentagon is (5-2)180° = 540°

x + 121 + 90 + 115 + 98 = 540

x + 424 = 540

x = 116°

please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

(-2.5, 1) and (0.5, 5)

Step-by-step explanation:

The main idea is to divide the line into four segments.

so you find the midpoint between (-4, -1) and (2, 7), which is (-1, 3).

then you find the midpoint again between (-4, -1)  (-1, 3) and (2, 7) (-1, 3), which is (-2.5, 1) and (0.5, 5).

A missile is fired such that its height above the ground is given by h=-9.8t^2+38.2t+6.5, where t represents the number of seconds since the rocket was fired. Using the quadratic formula, determine, to the nearest tenth of a second, when the rocket will hit the ground.


Please I need help with this question

Answers

Answer:

4.1 sec

Step-by-step explanation:

-9.8t^2 +38.2t + 6.5 = 0

t = [tex]\frac{-38.2 +-\sqrt{38.2^2{ - 4(-9.8)(6.5)} } }{2(9.8}[/tex]

 =  [tex]\frac{-38.2 +- \sqrt{1459.24 + 254.8} }{-19.6}[/tex]

 = [tex]\frac{-38.2 +- \sqrt{1714.04} }{-19.6}[/tex]

 = [tex]\frac{-38.2 +- 41.4}{-19.6}[/tex]

 = [tex]\frac{-79.6}{-19.6}[/tex]

 = 4.1

The rocket will hit the ground at 0.2 seconds

Function

The function is given as:

[tex]h=-9.8t^2+38.2t+6.5[/tex]

When the missile hits the ground, the value of height is 0

This means that:

[tex]h = 0[/tex]

So, we have:

[tex]-9.8t^2+38.2t+6.5 = 0[/tex]

Graph

Next, we plot the graph of [tex]-9.8t^2+38.2t+6.5 = 0[/tex]

See attachment for the graph of [tex]-9.8t^2+38.2t+6.5 = 0[/tex]

From the attached graph, we have:

[tex]t = (0.163, -4.061)[/tex]

Approximate

[tex]t = (0.2, -4.1)[/tex]

Time cannot be negative.

So, we have:

[tex]t = 0.2[/tex]

Hence, the rocket will hit the ground at 0.2 seconds

Read more about height functions at:

https://brainly.com/question/10837575

2. The pitcher had 1 quarts of water. After Lena poured some of the water into
a bowl, the pitcher had') quart of water left How much water was poured in
the bowl?

Answers

1 quart of water in the bowl

what is 50/277 decimal to the nearest hundredth?

Answers

Answer:

50/277 is also the same as 50 ÷ 277, so just divide those two numbers.

50 ÷ 277 = 0.181

Now we find out 0.181 to the nearest hundredth

To the nearest hundredth when rounding the answer will be 0.18

So your answer is 0.18

Hope I helped! :)

A straw is placed inside a rectangular box that is 2" x 6" x 8". If the straw fits exactly into the box diagonally from the bottom left corner into the top right back corner how long is the straw?

Answers

Answer: [tex]10.2"[/tex]

Step-by-step explanation:

Given

The dimension of the rectangular box is [tex]2"\times 6"\times8"[/tex]

If the Straw  fits exactly into the box diagonally

So, the length of the longest diagonal of the rectangular box is equal to the length of the straw i.e.

[tex]\Rightarrow l=\sqrt{2^2+6^2+8^2}\\\\\Rightarrow l=\sqrt{4+36+64}\\\\\Rightarrow l=\sqrt{104}\\\Rightarrow l=10.19\approx 10.2"[/tex]

Jacqueline has $5.65 in nickels and quarters. If she has 45 coins in all, how many nickels does she have?

Answers

Answer:

28 Nickels

Step-by-step explanation:

5x -6y=-32



3x+6y=48


solve using elimination, i have a bunch of these i need to get done

Answers

So this question is already perfectly set up. Since the 6 and -6 cancel you’ll be left with 5x + 3x which is 8x and -32 + 48 which is 16. 8x=16. Isolate x to get that x=2. Plug 2 back into one of the equations. 5(2) -6y = -32. Solve for y now. -10-32 equals -42. Divide -42 by -6 to get 7. So the final coordinate where the two equations will intersect is (2,7)

can we eliminate all fat people from the earth? they're useless individuals. ​

Answers

Answer:

No

Step-by-step explanation:

Dude, I'm not joking.

I started writing stuff as a joke, than developed it, and I think I'll write a book. You just gave me an incredible idea (not about fat people, about society itself and our future).

Thank you very much.

If you see any book written by a Racciatti in 10 years, contact me.

Hope this works, holy man so much ideas in my head. Thank you again.

Which of these organisms are sessile?

A.Birds.

B.Sloths.

C.Sponges.

D.Worms.​

Answers

Answer:

I think C

Step-by-step explanation:

Answer:

Sponges

Step-by-step explanation:

sponges are permanantly attached to an area in the water, making them sessile

Are the following triangles similar? Explain.

Answers

Answer:

yes

the sides bear a similar proportion to each other

CE = 1.67BC

CD = 1.67AC

Step-by-step explanation:

Two triangles are similar if the corresponding angels are congruent to each other and if the sides of the triangle are in proportion to each other

to determine if the triangles are similar, determine if the sides are in proportion to each other

CE = 10

BC = 6

10 / 6 = 1.67

DC = 15

AC = 9

15/9 = 1.67

The sides of the triangle are in proportion to each other, thus they are similar

0=5x^(2)+8x-7
Any solutions?

Answers

Answer:

4

5

1

5

x=\frac{-4-\sqrt{51}}{5}

x=5−4−51

=

4

+

5

1

Answer:

C. no solutions

1. Is it proportional?
2. If so, what is the constant of
proportionality? (unit rate)
3. Write an equation that
expresses the table in the
form
Y = KX

Answers

Answer:

Y=5(x) Yes it is porportional.

Step-by-step explanation:

So lets look at the graph.

We first have 1x = 5y

Well, that makes it seem like for each x there are 5 y.

Lets see the other values:

2x = 10y

Divide both sides by 2 tog et x alone:

1x=5y

Again, for each x, there are 5y.

This is true for each one:

3x=15y

=

1x=5y

4x=20y

=

1x=5y

5x=25y

=

1x=5y

and finally:

6x=30y

=

1x=5y.

So yes, this is poroportional.

It can be shown as x=5y, since for a single x, there are 5 y's.

Hope this helps!

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