4x-3y = 12 and 3x+2y =6

Answer:

0.6864 = 68.64% probability out of the 8 new cars it just received that, when each is tested, no more than 2 of the cars have defective radios

Step-by-step explanation:

The cars are chosen without replacement, so the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

48 new cars being shipped to local dealerships, corporate reports indicate that 12 have defective radios installed.

This means that [tex]N = 48, k = 12[/tex]

8 cars received.

This means that [tex]n = 8[/tex]

What is the probability out of the 8 new cars it just received that, when each is tested, no more than 2 of the cars have defective radios

This is

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

In which

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 0) = h(0,48,8,12) = \frac{C_{12,0}*C_{36,8}}{C_{48,8}} = 0.0802[/tex]

[tex]P(X = 1) = h(1,48,8,12) = \frac{C_{12,1}*C_{36,7}}{C_{48,8}} = 0.2655[/tex]

[tex]P(X = 2) = h(2,48,8,12) = \frac{C_{12,2}*C_{36,6}}{C_{48,8}} = 0.3407[/tex]

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0802 + 0.2655 + 0.3407 = 0.6864[/tex]

0.6864 = 68.64% probability out of the 8 new cars it just received that, when each is tested, no more than 2 of the cars have defective radios

Answer:

-8/15

Step-by-step explanation:

That's your answer

Answer:

Volume = 126 cm^2

Step-by-step explanation:

You don't exactly know what the base looks like, but it doesn't matter. The volume of a Prism is Base * height.

Solution

V = Base (which is the Cross sectional Area) * Length

V = 21 cm^2 * 6 cm

V = 126 cm^2

Answer:

See Explanation

Step-by-step explanation:

Given

The given side lengths are not clear enough:

So, I will give a general explanation.

From the question, we understand WXYZ is dilated to produce W'X'Y'Z

This implies that the sides of WYZY is multiplied by the scale factor (k) to give W'X'Y'Z'

i.e.

[tex]ZW *k =Z'W'[/tex]

Divide both sides by k to get side length ZW

[tex]ZW = \frac{Z'W'}{k}[/tex]

Assume that:

[tex]k = 4[/tex] and

[tex]Z'W' = 28[/tex]

[tex]ZW = \frac{Z'W'}{k}[/tex]

[tex]ZW = \frac{28}{4}[/tex]

[tex]ZW = 7[/tex]

Apply these steps and you will get your answer

Answer:

84.85cm

Step-by-step explanation:

Let the sides of the square be x

The perimeter of the square = 4x

Get x using the pythagoras theorem

x^2 + x^2 = 30^2

2x^2 = 900

x^2 = 450

x = 21.21cm

Perimeter of the plate = 4(21.21)

Perimeter of the plate = 84.85cm

Answer and Step-by-step explanation:

With the distributive property, the 8 will distribute itself to the a and the 4, resulting in 8a + 32.

#teamtrees #PAW (Plant And Water)

Answer:

im pretty sure its y=1/3x

Step-by-step explanation:

rearrange for y to be subject

its perpendicular so then the gradient will be the negative reciprocal (-1 / -3= 1/3) so thats your new gradient

then when you substitute the (3,-1) into that equation get -1=1 + c so then c is 0  and your whole equation is y=1/3x

Answer:

it will take 12 hours

Step-by-step expl

The question is incomplete. Here is the complete question.

To set up a game of billiards, the first player moves the balls contained within a triangular rack as shown. What happens to the distance between each billiard during this rigid transformation?

A. The distance remains constant throughout the transformation.

B. The distance decreases at the start and increases after all motion stops.

C. The distance stays the same at the start but decreasesexactly when motion ends.

D. The distance increases at the start and then decreases as the rack gets further from the player.

Answer: A. The distance remains constant throughout the transformation.

Step-by-step explanation: In a rigid motion, all moving points in the plane are moving in way such tha:

1)  relative distance between them stays the same and

2) relative position of the points stays the same

There are four types of rigid motions: translation, rotation, reflexion and glide reflection.

Translation: every point or object is moved by the same amount and in the same direction;

Rotation: the object rotates by the same amount around a fixed point;

Reflexion: the object exchange points from one side of a line with points on the other side of the line at the same distance from the line;

Glide Reflection: is a mirror reflection followed by a translation parallel to the mirror.

In the game of billiards, because all the balls are inside the triangular rack, the distance, and also the position, between them stays the same, limited by the rack. Since they are moving by the same amount in the same direction, the rigid transformation is a translation.

Therefore, the distance of the balls in the triangular rack remains constant throughout the transformation.

Answer:

14

Step-by-step explanation:

-21+-13+20=14

This is true because when subtracting negatives by negatives you pretty much add them and then when you add a positive to a negative you are technically removing the negative by the amount you are adding.

In short its kind of like using inverse operation in a way.

Hope this helps and have a nice day

Also may I please have a brainliest!!!

Answer:

According to the table in both equation u can see the similar variables x=1, y=3

Step-by-step explanation:

Please I don't have graph with me

Answer:

n + 0.5 = p

Step-by-step explanation:

I'm not sure how you format it so the AI would understand.

Answer: 15 Dogs

Step-by-step explanation:

1.) Set up a ratio!

6 Dogs =    ?

4 Hours    10 Hours

2.) Cross Multiply

6x10=60

60/4= 15

Answer:

Day 1=0.075

Day 2=0.0375

Step-by-step explanation:

Divide each day by 2

The probability it rains on both days if the probability that it rains in London on any particular day is 0.3 is 0.595

The probability is the likeliness of happening an event. It can be calculated by using the following formula:

Probability=Number of events/Number of total outcomes

The probability that it rains in London on any particular day is 0.3

If it rains then the probability of it raining the following day decreases to 0.15.

The probability that it rains on the second day=1-0.15=0.85

The probability that it rains on the third day=0.85-0.15=0.7

The probability that it rains on both is=0.85*0.7=0.595

Hence the probability that it rains on both is 0.595

Learn more about probability at  https://brainly.com/question/24756209

#SPJ2

The Answer Is 180. :)

Answer:  the square root of 99 lies somewhere between 9.9 and 10.

Step-by-step explanation:

Answer:9 and 10

Step-by-step explanation:

it was hw

Answer:

Basically we need to add all of the inches

Step-by-step explanation:

so...

8 inch ( first day ) + 6 inch ( second day) + 9 inch ( third day )

add all those inches together what do you get?

23 inches in total. So altogether 23 inches of snow fell during the 3-day storm

Answer:

1.9

Step-by-step explanation:

A foot is 12 inches, add 8+9+6 you get 23 convert. 23 inches to feet you get 1.9 feet

Answer:

3/8 so it is less than 1

Step-by-step explanation:

Answer:

i did it .but not sure.thanks.

Answer:

I need to know how much each bag costs. And how many pounds they are. If you can add that I can give you and answer.

Step-by-step explanation:

Answer:

166

Step-by-step explanation:

let two numbers be x and y

according to question,

x+y=527..........equation 1

x-y=195...........equation 2

add both the equations you will get

x=361 and y= 166

So the smaller of two numbers is y=166

Answer: 16%

Step-by-step explanation:

168.2 - 145 = 23.2

23.2/145 = 0.16

0.16 as a percent is 16%

The percentage change of the height is A = 16 %

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.

Percentage change is the difference between the measured value and the true value , as a percentage of the true value

Percentage change =( (| Measured Value - True Value |) / True Value ) x 100

Given data ,

Christian's height increased by

168.2 - 145 = 23.2 cm

To find the percentage increase, we need to divide the increase by the original height and then multiply by 100:

Percentage increase = (23.2 / 145) x 100%

Percentage increase = 0.16 x 100%

Percentage increase = 16%

Hence , Christian's height increased by 16%

To learn more about percentage click :

https://brainly.com/question/12861068

#SPJ3

Answer:

56

Step-by-step explanation:

Hope this helps

Answer:

56

Step-by-step explanation:

56×1=56

Hey there!!

Let me know if you need an explanation on how I reached my final answer:

As we solve for the first variable in one of the equations, we then substitute the result into the other equation.

Your answer:

Y=2x-5

Let me know if you have any questions or concerns!! Hope this helps!!

Answer:

B

Step-by-step explanation:

Closest answer

Answer:

1

Step-by-step explanation:

hope it helps . ans is c

Answer:

The scores within one standard deviation of the mean are: 77, 79, 80, 83, 87, 88

Step-by-step explanation:

The mean of the data is 83 and the standard deviation is 6.5, find scores within 1 standard deviation of the mean:

Between

83 - 6.5 = 76.5

83 + 6.5 = 89.5

So:

The scores within one standard deviation of the mean are: 77, 79, 80, 83, 87, 88

Answer:

C

Hope that helps!

Step-by-step explanation:

Answer:Melissa's  mom, dad, and brother  each drove 312miles, 168miles and 0 miles respectively

Step-by-step explanation:

If Mellisa's dad drove 35% of the way

and Melissa's mum drove 65% of the way,

Then

Melissa's brother did not drive at all because

Miles covered by her dad = 35% x 480 = 0.35 x480= 168 miles

Miles covered by her mum= 65% x 480 = 0.65 x 480=312miles

her mom, dad, and brother  each drove 312miles, 168miles and 0 miles respe ctively