PLEASE HELP!
If triangle MNO and triangle PQR are similar, which of the following must be true?

Answer:

He should play the Slow Ball Challenge

Step-by-step explanation:

The number of pitches = 9 pitches

The speed of the 9 pitches = 60 mph

The percentage of the time Diego estimates he can each pitch = 95%

P = 0.95

The amount Diego will win if he can hit all 9 pitches = $45

The amount he will loose = $10

The Fast Ball challenge

The number of pitches =  4 pitches

The speed of the 4 pitches = 90 mph

The percentage of the time Diego estimates he can each pitch = 60%

The amount Diego will win if he can hit all 4 pitches = 60 %

The amount he will loose = $20

For the Slow Ball challenge, we have;

The probability that he hits all 9 pitches and wins the $45, is given by the binomial probability distribution as follows;

P(X) = ₙCₓ · Pˣ ·(1 - P)ⁿ⁻ˣ

Therefore, we get;

P(X) = ₉C₉ · P⁹ ·(1 - P)⁹⁻⁹ = 1 × 0.95⁹ ≈ 0.63025

The probability that he losses the $45 = 1 - P(X) ≈ 1 - 0.63 = 0.36975

The expected value = 0.63025 × 45 - 0.36975 × 10 ≈ 24.66375

The expected value ≈ 24.66375

For the Fast Ball challenge, we have;

The probability that he hits all 4 pitches and wins the $80, is given by the binomial probability distribution as follows;

P(X) = ₙCₓ · Pˣ ·(1 - P)ⁿ⁻ˣ

Therefore, we get;

P(X) = ₄C₄ · P⁴ ·(1 - P)⁴⁻⁴ = 1 × 0.6⁴ ≈ 0.1296

The probability that he losses the $80 stake = 1 - P(X) ≈ 1 - 0.1296 = 0.8704

The expected value = 0.1296 × 80 - 0.8704 × 20 ≈ -7.04

The expected value ≈ -7.04.

Given that the expected value for the Fast Ball Challenge is lesser than the expected value for the Slow Ball Challenge, Diego should play the Slow Ball Challenge.

Answer: the area of the circle is 2827.43cm²

Step-by-step explanation:

Answer:

J

Step-by-step explanation:

Since it says 30 each month, each being the keyword, we now can see what our x is. It states that the INITIAL payment, initial is only in the beginning so we now know what our b is, 50. Following the y=mx+b format we plug it in. y=30m+50      

Answer:

G ( i like ur pfp btw)

Answer:

132°

Step-by-step explanation:

x+48=180

x=180-48=132

Answer:

available

Step-by-step explanation:

if its available if available comment

Answer:

$35.00

Step-by-step explanation:

Add the exacted prices of the five books together.

5.99 + 6.00 + 6.45 + 7.75 + 7.99 = 34.18

The number closest to 34.18 on the list of choices is 35.00.

Have a nice day :)

Answer:

+ ( + 9) - (+ 6)

= 9 - 6

= 3

espero que ayude

Step-by-step explanation:

Answer:

0.8

Step-by-step explanation:

8x8=64 but put the decimal point back in 0.8x0.8=6.4

Answer:

Dark blue = 44 in

Red = 33 in

Purple = 75 in

Green = 40 in

Light blue = 46 in

Answer:

im just answering this to give the other person brainliest

Step-by-step explanation:

Answer:

I think $ 649.35 cents

Step-by-step explanation:

65% off means the sale price is 35% of the regular price.  

35% of something is 0.35 times the something.

Answer:

C , 6/15

Step-by-step explanation:

Hope it helps !!:)

Answer:

$198.75

Step-by-step explanation:

total amount spent = cost of groceries + cost of flowers

total cost of groceries = initial cost - coupon value

coupon value = 0.10 x 150 = $15

Total cost = $135

total cost of flowers = cost of flowers + tax value

tax value = 0.0625 x $60 = $3.75

total cost of flowers = $3.75 + $60 = $63.75

total amount spent = $135 + $63.75 = $198.75

Answer:

5 in

Step-by-step explanation:

Answer:

[tex]A=141.6\ cm^2[/tex]

Step-by-step explanation:

The surface area of a cylinder is given by :

[tex]A=2\pi rh[/tex]

For larger cylinder, A = 236 cm² and h = 5 cm

So,

[tex]236=2\pi \times 5\times r\\\\r=\dfrac{236}{10\pi}\\\\r=7.51\ cm[/tex]

Now, Put r = 7.51 and h = 3 cm to find the surface area of the smaller cylinder.

[tex]A=2\pi \times 7.51\times 3\\\\A=141.56\ cm^2\\\\A=141.6\ cm^2[/tex]

So, the surface area of the smaller cylinder is equal to [tex]141.6\ cm^2[/tex].

Answer:

85

Step-by-step explanation:

i did it and got it right

Answer:

m = x / n

n = 15

Step-by-step explanation:

Number of chairs per row = m

Number of rows = n

Number of people = x

Number of chairs per row, m = number of people, x / Number of rows, n

m = x / n

If number of attendees, x = 60 ;

Number of chairs per row, m = 4

The number of rows, n = number of attendees / number of chairs per row, m

Hence, n = 60 / 4 = 15 rows

Answer: [tex]\$2400[/tex]

Step-by-step explanation:

Given

Kaylee's gross income is [tex]\$32,000\text{per month}[/tex]

[tex]25\%[/tex] is taken out for taxes and other required deduction

left amount is

[tex]\Rightarrow 3200-25\%\times 3200\\\Rightarrow 3200(1-0.25)=\$2400[/tex]

So, her take-home pay is [tex]\$2400[/tex]

Answer:

The answer is letter A

Step-by-step explanation:

Area of a circle in terms of radius:

A circle of radius = 6.996 or 7, or diameter = 13.99 or circumference = 43.96 meters

Area = π · r^2 = 3.14 * 7^2 = 153.86 square meters

Answer:

[tex]A_{n} =3(3)^n^-^1[/tex]

[tex]A_{10} = 59,049[/tex]

Answer:

29 = 16.4

30=

Step-by-step explanation:

The formula for finding a hypotenuse is a^2 + b^2 = c^2. Therefore, if you want to solve 29 you would do 13^2 + 10^2 = c^2.

13^2= 169

10^2=100

269+100 = c^2

368= c^2

So next, we have to do the square root of 368 which is 16.4.

Now for number 30, we know that it is a right triangle. So if we want to work with that, we have to find the angles of everything. We know that the sum of all angles in a triangle is 180. So a right angle is 90 degrees. We have 90 left over. Could you solve the rest?

Answer:

Linear as it would be a straight line.

Step-by-step explanation:

If you move up one and to the left one you would have a straight line touching the y-intercept 4.

Answer:

10+x=16

Step-by-step explanation:

Answer:

1. 6

2. 5

3. 3

4. 7

5. (x-4)2 + (y+3)2 =25

6. x2+ y2 = 36

7. (x-3)2+(y-3)2 = 4

8. x2 + (y+2)2 = 81

Step-by-step explanation:

use formula (x-h)2 + (y-k)2 = r2

where (h,k) is center and r is radius

Answer:

3:2

Step-by-step explanation:

I'd say 3:2 because when you divide 45/30, you get 3/2, which is the same as 3:2. Hope this helps!

Answer: 1 boy for every 3 girls

Step-by-step explanation:

I put 30/45 into a fraction and simplified.

Answer:

The constant cost of dog food is $1.59 per pound.

Step-by-step explanation:

Divide each pound by the cost and you get $1.59

Answ guud ground

Step-by-step explanation:

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The qyaeriin has no attached diagram. A related diagram was found and used to provide the steps required to solve the problem.

Answer:

1 inch = 8.333 feets

Step-by-step explanation:

Initial dimension of rectangle :

100 feets by 10 feets

Fractional decrease in garden = 2/3

New Dimension of garden :

2/3(100 feets) by 2/3(10 feets)

66.667 feets by 6.6667 feets

Hence

From the picture attached :

8 inch = 66.667

1 inch = 8.333

The new scale of the drawing = 1 inch = 8.333 feets