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xz_007 [3.2K]
2 years ago
14

PPPPLLLLLLSSSS I NEEED HELP

Mathematics
1 answer:
Nuetrik [128]2 years ago
7 0

Answer:

x=63

Step-by-step explanation:

The two interior angles add up the the exterior angle, so 51+x+12=2x. From there, solve to get x=63. Hope this helped!

You might be interested in
Find the fractional notation for the ratio 5 to 9
vazorg [7]
5:9 is just 5/9
Hope this helps!
5 0
3 years ago
Two athletic teams play a series of games; the first team to win 4 games is declared the overall winner. Suppose that one of the
kodGreya [7K]

Answer:

  • p=0.7103 (4-game series)
  • p=0.6480 (2-game series)

Step-by-step explanation:

Let X be the random variable equal the the first 4 straight wins. An overall win for the stronger team implies a negative binomial function with the parameters  n=4, p=0.6:

P(X=4)={{i-1}\choose {4-1}}0.6^40.4^{i-4},\  i=4,5,6,7

#We find probabilities for the different values of i:

P(X=4)={3\choose 3}0.6^4=0.1296\\\\P(X=5)={4\choose 3}0.6^40.4^1=0.2074\\\\P(X=6)={5\choose 3}0.6^40.4^2=0.2074\\\\P(X=4)={6\choose 3}0.6^40.4^3=0.1659

Hence, probability of the stronger team winning overall is:

=P(X=4)+P(X=5)+P(X=6)+P(X=7)\\\\=0.7103

#Define Y as the random variable for winning 2/3 games.:

P(Y=2)={1\choose 1}0.6^2=0.3600\\\\P(Y=3)={2\choose3}0.6^20.4=0.2880\\\\P(win)=0.2880+0.3600=0.6480

Hence, probability of the stronger team winning in 2 out 3 game series is 0.6480

The stronger team has a higher chance of winning in a 4-game series(0.7103>0.6480)

8 0
3 years ago
URGENT HELPPP !!!!!! Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!
GaryK [48]

Answer:

(8,-3)

Step-by-step explanation:

I just added 1 to the x value and added 2 to the y value because that was the difference between point A and the midpoint of the segment.

Hope this helps!

3 0
3 years ago
Pls answer ASAP<br> 5 extra points
Leona [35]

Answer:

The answer is B.

Step-by-step explanation:

Any percentage is a number divided by 100 . So 0.4%=0.4100 . Dividing 0.4 by 100 gives 0.004 .

5 0
4 years ago
What is the present value of $6,000 to be received at the end of each of eight periods, assuming the first payment occurs at the
Kipish [7]

Answer: Present value = $7200

Step-by-step explanation: Given Principal that is the original amount is $6000

Rate is 10% every fourth year

But the total period is eight.

So the interest would be paid 8/4 = 2 times.

Therefore,

Simple interest

= {principal * rate * no of times}/100

= {$6000*10*2}/100

Simple interest = $1200

Present value

= principal + Simple interest

= $6000 + $1200

= $7200.

6 0
3 years ago
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