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Crank
3 years ago
8

Linear Equation: - x - 15 -3x = x

Mathematics
2 answers:
emmasim [6.3K]3 years ago
8 0

Answer:

x=15

Step-by-step explanation:

Alecsey [184]3 years ago
4 0
The answer x=-3 hope this helps
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Sin(x+20) - cos (2X+10)
Vladimir [108]

Answer:

X=20

Step-by-step explanation:

Sin(x+20)=cos(2x+10)

Sin(x+20)=sin(90-(2x+10)

X+20=90-2x-10

3x=60

X=20

8 0
2 years ago
two pages that are back to back in a text have 201as the sum of their page numbers what are the page numbers.​
REY [17]

Answer:

Pages 100 and 101

Step-by-step explanation:

Round 201 to 200 (to make it easier).

Divide 200 by 2, because it is 2 pages.

You are left with 100.

100 is one of the pages, but because you rounded down 1 number, the other number must be 101, because the pages are back to back.

I hope this made sense, this is just how I figured it out. :)

6 0
3 years ago
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
A major airline company is concerned that its proportion of late arrivals has substantially increased in the past month. Histori
lutik1710 [3]

Answer:

The correct statement is  

The  null hypothesis is  H_o  :  p =  0.18

The alternative hypothesis is  H_a :  p >  0.18

Step-by-step explanation:

From the question we are told that

    The population proportion is  p  =  0.18  

    The  sample size is  n  =  1240 airplane

     The  number of airplane is  k  =  310

 

Generally the sample proportion is  

      \^ p = \frac{k}{n}

=>   \^ p = \frac{310}{1240}

=>   \^ p =0.25

The  null hypothesis is  H_o  :  p =  0.18

The alternative hypothesis is  H_a :  p >  0.18

5 0
3 years ago
What is the value of<br> 83 + 5x, when x = 12?
liq [111]

Answer:143

Step-by-step explanation:

83

60

_

143

3 0
3 years ago
Read 2 more answers
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