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Butoxors [25]
2 years ago
8

Geometry: Help this makes no sense I don’t think there’s enough info needa find x so you have a triangle and you have a 90 degre

e angle and across that is the hypotenuse which is 18
Mathematics
1 answer:
Natasha2012 [34]2 years ago
8 0

Answer:

9√2

Step-by-step explanation:

a^2+b^2=c^2

a^2+b^2=18^2

a^2+b^2=324

324 ÷ 2 = 162

162 + 162 = 324 (on a 45 45 90 right triangle)

81 and 2 are factors of 162

square root of 162

√162 = √81 * 2  = 9√2

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Seven balls are randomly withdrawn from an urn that contains 12 red, 16 blue, and 18 green balls. Find the probability that (a)
UNO [17]

Answer:

a) P=0.226

b) P=0.6

c) P=0.0008

d) P=0.74

Step-by-step explanation:

We know that the seven balls are randomly withdrawn from an urn that contains 12 red, 16 blue, and 18 green balls. Therefore, we have 46 balls.

a) We calculate the probability that are 3 red, 2 blue, and 2 green balls.

We calculate the number of possible combinations:

C_7^{46}=\frac{46!}{7!(46-7)!}=53524680

We calculate the number of favorable combinations:

C_3^{12}\cdot C_2^{16}\cdot C_2^{18}=660\cdot 120\cdot 153=12117600

Therefore, the probability is

P=\frac{12117600}{53524680}\\\\P=0.226

b) We calculate the probability that are at least 2 red balls.

We calculate the probability  withdrawn of 1 or none of the red balls.

We calculate the number of possible combinations:

C_7^{46}=\frac{46!}{7!(46-7)!}=53524680

We calculate the number of favorable combinations: for 1 red balls

C_1^{12}\cdot C_7^{34}=12\cdot 1344904=16138848

Therefore, the probability is

P_1=\frac{16138848}{53524680}\\\\P_1=0.3

We calculate the number of favorable combinations: for none red balls

C_7^{34}=5379616

Therefore, the probability is

P_0=\frac{5379616}{53524680}\\\\P_0=0.1

Therefore, the  the probability that are at least 2 red balls is

P=1-P_1-P_0\\\\P=1-0.3-0.1\\\\P=0.6

c) We calculate the probability that are all withdrawn balls are the same color.

We calculate the number of possible combinations:

C_7^{46}=\frac{46!}{7!(46-7)!}=53524680

We calculate the number of favorable combinations:

C_7^{12}+C_7^{16}+C_7^{18}=792+11440+31824=44056

Therefore, the probability is

P=\frac{44056}{53524680}\\\\P=0.0008

d) We calculate the probability that are either exactly 3 red balls or exactly 3 blue balls are withdrawn.

Let X, event that exactly 3 red balls selected.

P(X)=\frac{C_3^{12}\cdot C_4^{34}}{53524680}=0.57\\

Let Y, event that exactly 3 blue balls selected.

P(Y)=\frac{C_3^{16}\cdot C_4^{30}}{53524680}=0.29\\

We have

P(X\cap Y)=\frac{18\cdot C_3^{12} C_3^{16}}{53524680}=0.12

Therefore, we get

P(X\cup Y)=P(X)+P(Y)-P(X\cap Y)\\\\P(X\cup Y)=0.57+0.29-0.12\\\\P(X\cup Y)=0.74

8 0
3 years ago
What is 4 times 4 and 5555 times 8999989
Ket [755]

Answer:

4 *4 = 16

16 * 5555 = 88880

88880 * 8999989 = 799919022320

Brainliest :D

Step-by-step explanation:

8 0
2 years ago
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What is 13/20 as a part to part ratio
notsponge [240]

65%

Convert fraction (ratio) 13 / 20 Answer: 65%

7 0
3 years ago
target sell 24 bottle of water for$3, and 36 bottle of water for $4. which is the batter buy and how much?
Ksenya-84 [330]
Probably the 36 for 4$, but it also depends on the fluid OZ's of the bottle.
5 0
3 years ago
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Chose an equation below that represents the line passing through the point (-2,-3) with a slope of -6
olganol [36]
Hey there!

Let's take a look at this problem... Okay so for these questions there is formula known as the point-slope formula that is used...

(y - y₁) = m(x - x₁)

From here on out you substitute in your given values...

(y + 3) = -6(x + 2)
y + 3 = -6x -12
<u>y = -6x -15</u><u />                <----- That's your answer! 

I hope this helped you!

<u>Please vote me for Brainliest if there is a second answer!</u><u /> ^__^
3 0
2 years ago
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