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STALIN [3.7K]
3 years ago
7

Solve the linear expression 5(-3.4k-7)+(3k+21)

Mathematics
1 answer:
Ksivusya [100]3 years ago
6 0

Our expression is below

5(-3.4k-7)+(3k+21) = 0

by solving it for the value of k

(-17k-35)+(3k+21) = 0

-17k+3k-35+21 = 0

-14k-14 = 0

-14k = 14

k = \frac{14}{-14}

k = -1



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Answer:

Y=21

Step-by-step explanation:

add 13 on both sides you get Y=21

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2 years ago
I do not need an explanation, just a simple angle number!
Murljashka [212]

Answer:

Step-by-step explanation:

a + 143 = 180    {Linear pair}

a = 180 - 143

a = 37

37 + 93 + b = 180 {Angle sum property of triangle}

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3 0
2 years ago
What is the median of the data set?<br> 9 3 10 12 4 5 12 2
kramer
The key is to cross 1 number from both sides till you get to the middle last number so the answer is 4
5 0
3 years ago
Read 2 more answers
The prior probabilities for events A1 and A2 are P(A1) = 0.35 and P(A2) = 0.50. It is also known that P(A1 ∩ A2) = 0. Suppose P(
forsale [732]

Answer:

Step-by-step explanation:

Hello!

Given the probabilities:

P(A₁)= 0.35

P(A₂)= 0.50

P(A₁∩A₂)= 0

P(BIA₁)= 0.20

P(BIA₂)= 0.05

a)

Two events are mutually exclusive when the occurrence of one of them prevents the occurrence of the other in one repetition of the trial, this means that both events cannot occur at the same time and therefore they'll intersection is void (and its probability zero)

Considering that P(A₁∩A₂)= 0, we can assume that both events are mutually exclusive.

b)

Considering that P(BIA)= \frac{P(AnB)}{P(A)} you can clear the intersection from the formula P(AnB)= P(B/A)*P(A) and apply it for the given events:

P(A_1nB)= P(B/A_1) * P(A_1)= 0.20*0.35= 0.07

P(A_2nB)= P(B/A_2)*P(A_2)= 0.05*0.50= 0.025

c)

The probability of "B" is marginal, to calculate it you have to add all intersections where it occurs:

P(B)= (A₁∩B) + P(A₂∩B)=  0.07 + 0.025= 0.095

d)

The Bayes' theorem states that:

P(Ai/B)= \frac{P(B/Ai)*P(A)}{P(B)}

Then:

P(A_1/B)= \frac{P(B/A_1)*P(A_1)}{P(B)}= \frac{0.20*0.35}{0.095}= 0.737 = 0.74

P(A_2/B)= \frac{P(B/A_2)*P(A_2)}{P(B)} = \frac{0.05*0.50}{0.095} = 0.26

I hope it helps!

5 0
3 years ago
HELP ME WITH THIS NOW PLEASE
Kay [80]

Answer:

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Step-by-step explanation:

area of circle is \pi r^{2}

\pi 3^{2} =28.27

area of triangle is bh\frac{1}{2}

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\frac{28.27}{70}=0.403857

4 0
2 years ago
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