ΔABC ο ΔQRS
Find the missing side length, m.

The probability that a point chosen at random on AE is on AB is; 1/5.

The total distance over AE is given as; |-5 -5| = 10.

And the total distance covered over AB is; |-5 -(-3)| = 2.

On this note, the required probability is; 2/10 = 1/5.

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Answer:

numbers are equivalent if O) pie /4

7/8 or 0.88

Just recall the formula for the volume of a prism: area of the base times its height. Now, is common to associate the base of a prism to the side which serves as a ‘‘base’’, i.e., the one in the bottom from our perspective.

This formula is right, but not quite precise. A better formulation for the formula would be: ‘‘the volume of a rectangular prism is equal to the area of a side times its relative height’’. Notice that we only need to rotate a prism to have a different side as a basis.

In the figure we have that the area of the green side is 1/2, and its relative height is 1 3/4. Thus, its volume is

V=(1/2)*(1 3/4) = 7/8 = 13.5

Answer:

<3

Step-by-step explanation:

Here! I hope you have a great day/night

Answer:

17,420

Step-by-step explanation:

It the same on the other side so you would have to multiply 134 and 130 together which u get 17,420 and when u plug it in and divide it u get 130 degrees

I will take 1000 dollars because it is advertised at 1000 dollars

Answer:

It will be

5/6 which it can be used as 0.83

Step-by-step explanation:

Distribute:

=2x+(y)(5x)+(y)(−y)+(y)(3)

=2x+5xy+−y2+3y

Answer:

=5xy−y2+2x+3y

The appropriate hypotheses for this test are :

A hypothesis is a statement that proposes a result that will be tested to get a verified result.A hypothesis is not hundred percent true, that is why it is always put to test. Hypothesis is singular while hypotheses is plural

Making a hypothesis in this case is an attempt to predict an answer or result that will be verified by doing the experiment.

We can conclude by saying that a hypothesis is not hundred percent true.

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The heaviest 10% of fruits weigh more than 814.79 grams.

The problem setup implies that the weight of this fruit is a random variable when it says a particular fruit's weights are normally distributed.

Define X = Random Variable of the fruit's weight

[tex]X \sim N(mean = 760, standard deviation = 39)[/tex]

We want to find the specific gram value for which 8% of the fruits are heavier

The 92nd percentile of X's normal distribution

[tex]Solve for x: Pr( X < x ) = Normal( 760, 39 ) CDF = .92[/tex]

Standardizing we obtain

[tex]Pr( [X - 760]/39 < [x - 760]/39 ) = Pr( Z < [x - 760]/39 ) = .92,[/tex]

where Z is a standard normal random variable

[tex]Pr( Z < [x - 760]/39 ) = Standard \ Normal \ CDF( [x - 760]/39 )[/tex]

==> Set this equal to .92:

[tex]Standard \ Normal \ CDF( [x - 760]/39 ) = .92[/tex]

Then, from the standard normal table:

[tex][x - 760]/39 = Inverse Standard Normal[/tex]

[tex]CDF( .92 ) = 1.405[/tex]

Use algebra to solve for x:

[tex]x = 39 * 1.405 + 760 = 814.795[/tex]

Therefore the heaviest 10% of fruits weigh more than 814.79 grams.

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Answer:

  False

Step-by-step explanation:

The formula for direct variation is ...

  y = kx

where k is the constant of variation.

If -8 is the constant of variation, we should have ...

  1 = -8×8 . . . . false

  1 ≠ -64

The constant of variation is not -8.

__

Additional comment

The constant of variation is 1/8.

Answer:

Step-by-step explanation:

Coordinates of the original down ward parabola are ( - 10, - 7 )

Coordinates of the image upward parabola are ( - 10, 7 )

g(x) = 8( x + 10 )² + 7

For a reflection of parabola across x axis the rule is

Means a turns negative

So

Here a is -8

Turn negative

k is -7

turn negative

New one

If Pat borrows $12,000 to buy a car. The total cost of the car is: D)$14,340.

First step

Using this formula

Interest=Principal×Rate×Time

Let plug in the formula

Interest=$12,000×3×6.5%

Interest=$2,340

Second step

Total cost=Principal +Interest

Total cost=$12,000+$2,340

Total cost=$14,340

Therefore the correct option is D.

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Answer:

See below

Step-by-step explanation:

A 2.5 % decrease means  97.5 % remains (.975)

population =  10800 ( .975) ^n     where n = years past 2002

  in 2020    n = 18

    10800 (.975)^18 = 6847  people

Answer:

complex number Z = a+ib

so when a=2 and b=3 so complex number = 2+3i

Answer:

Step-by-step explanation:

Comment

The formula that relates edges faces and vertices is  F + V = E + 2

Givens

Edges (E): 37

Faces (F) = 25

Vertices: x

Solution

25 + x = 37 + 2                Subtract 25 from both sides.

25-25 +x= 37 - 25 + 2    Combine

x = 12 + 2

x = 14

Answer: The vertices = 14

Answer:

Step-by-step explanation:

Area of rectangle: 35*22=770

Area of semi circle: 1/2pi(11)^2=60.5 pi

Area of garden 770+60.5 pi or 959.97 ft squared if pi =3.14

What do you mean? I think you need to add a graph with the angles for people to be able to answer that question (you can take a screenshot and then use the paperclip button when you are re-writing the question). Hope this helped.

Answer:

it is impossible as when we multiply two prime numbers other than 2 we get the number odd but 3128 is an even number

Step-by-step explanation:

Mean=Sum of data/No of data

#a

Mean

#b

Mean:-

#c

Mean

#d

Mean

Answer:

See below ~

Step-by-step explanation:

a)

b)

c)

d)

Answer:

it can be arranged in 40320 ways

Step-by-step explanation:

this is simply permutation,

so the ways of arrangement = 8!

=8×7×6×5×4×3×2×1

=40320

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There are 40,320 different ways for Padma to arrange the 8 figurines in the display case.

The permutation is defined as considered an ordered combination.

To determine the number of different ways Padma can arrange the 8 figurines in the display case, we can use the concept of permutations.

The number of permutations of n objects taken r at a time is given by the formula:

P(n, r) = n! / (n - r)!

In this case, Padma has 8 figurines, and she wants to arrange all of them in the display case, so r = 8.

P(8, 8) = 8! / (8 - 8)!

Simplifying:

8! / 0! = 8!

Calculating 8! (8 factorial):

8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40,320

Therefore, there are 40,320 different ways for Padma to arrange the 8 figurines in the display case.

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Answer: 5

Step-by-step explanation: 5 x 5 is 25 + 8 is 33

Answer:

y = 4√x

Step-by-step explanation:

Finding the constant of proportionality, k

Equation

Answer:

Y will equal

4√x as the answer

Answer:

0.6 is 6/10 that is equal to 60/100.

0.39 is 39/100.

60/100 > 39/100

OR

0.6 is more than half and 0.39 is less than half.

Answer:

Yhe greater value of 0.39 is 1.50

Step-by-step explanation:

The small flash driver is 1/4 inch long, the medium is 1/2 inch long, and

the large 1 inch long. The combined length of all his flash drives is 11/8 inch.

1 gigabyte = 1000000000 bytes

1 megabyte = 1000000 bytes

1 gigabyte = 1000 megabytes

A small flash driver has a storage capacity of 200Gb, a medium 350GB, and a large 600Gb.

The small flash driver is 1/4 inch long, the medium is 1/2 inch long, and

the large 1 inch long.

Javier owns the same number of flash drives of all three sizes, giving him a total of 11,500Gb of storage capacity.

The combined length of all his flash drives

= 1/4 + 1/2 + 1

= 11/ 8

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Answer:

Step-by-step explanation:

Analyzing both equations

As the slopes are different, then it can be concluded that the system has only one solution.

Answer:

How many solutions will the system have?

✔ one solution

What is the reason you determined that number of solutions?

✔ The equations graph intersecting lines.