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Mademuasel [1]
3 years ago
9

Can anyone help me please with number 5 and 6 question attached above please and thank you

Mathematics
1 answer:
Nina [5.8K]3 years ago
3 0

Answer:

5. Vertical angle

6. Linear function/linear graph

Brainliest would be appreciated

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Assume the random variable x has a binomial distribution with the given probability of obtaining a success. Find the following.
borishaifa [10]

Answer:

P(x > 10) = 0.6981.

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this question:

n = 14, p = 0.8

P(x>10)

P(x > 10) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 11) = C_{14,11}.(0.8)^{11}.(0.2)^{3} = 0.2501

P(X = 12) = C_{14,12}.(0.8)^{12}.(0.2)^{2} = 0.2501

P(X = 13) = C_{14,13}.(0.8)^{13}.(0.2)^{1} = 0.1539

P(X = 14) = C_{14,14}.(0.8)^{14}.(0.2)^{0} = 0.0440

P(x > 10) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) = 0.2501 + 0.2501 + 0.1539 + 0.0440 = 0.6981

So P(x > 10) = 0.6981.

8 0
3 years ago
-2(x+2)=-12 .............
Dima020 [189]

Answer:

x=4

Step-by-step explanation:

-2(x+2)=-12

x+2=-12/-2

x+2=6

x=6-2

x=4

6 0
3 years ago
What is the slope of the line represented by the equation y =4/5x-3?
Katen [24]

Answer:

4/5 is the slope

Step-by-step explanation:

the formula is y=mx +b

m = slope

b= y intercept

Therefore, the slope in 4/5

5 0
3 years ago
X+y=11<br> (4x² – 3y² = 8<br> Which equation is part of salving the system by substitution
DanielleElmas [232]
Equation 1, which would be
x=11-y
8 0
3 years ago
A figure is made up of with seven X rodes and five Y rodes . If X= 3 and Y= 5 calculate the perimeter with the formula.
sergey [27]
46? Since we got 7*3+5*5 and that is 21+25=46.
5 0
3 years ago
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