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maksim [4K]
2 years ago
13

Given: p(a) =0.70, p(b)=0.60, p(a or b) =0.88. are a and b independent? (use your answer from question

Mathematics
1 answer:
allsm [11]2 years ago
4 0

Answer:

Step-by-step explanation:

P(a or b) = P(a) + P(b) - P(a and b)

0.88 = 0.70 + 0.60 -  P(a and b)

P(a and b) = 1.30 - 0.88 = 0.42.

So the events a and b are not mutually exclusive.

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Maddie swims the hundred meter freestyle in 30 seconds what is her average speed in meters per minute​
Naily [24]
Answer: 200 meters per minute

Explanation: we know that she can run 100 meters per 30 seconds. the question is asking in terms of minutes, however. we have to convert the seconds into minutes. How many minutes is 30 seconds? well, 60 seconds are in a minute so 30 seconds are in half a minute. 30 seconds = .5 minutes.

Now, we have to find how many meters she runs per minute. this means how many meters she runs in one minute. we create a proportion:

100 meters/ .5 minutes = x meters / 1 minute

we cross multiply to get 100 = .5x

then, we simplify by dividing each side by .5 which equals

200=x
3 0
2 years ago
Read the instructions
nordsb [41]

Answer:

Step-by-step explanation:

\frac{5x - 2}{4}+\frac{1}{2}=\frac{3y+2}{2}

Multiply the equation by 4

4*\frac{5x - 2}{4}+4*\frac{1}{2}=4*\frac{3y+2}{2}\\

5x - 2 + 2 = 2*(3y + 2)

5x +0 = 2*3y + 2*2

5x = 6y + 4

5x - 6y = 4 --------------------(I)

\frac{7y+3}{3}=\frac{x}{2}+\frac{7}{3}\\

Multiply the equation by 6

6*\frac{7y+3}{3}=6*\frac{x}{2}+6*\frac{7}{3}\\

2*(7y + 3) = 3x + 2*7

14y + 6 = 3x + 14

14y = 3x + 14 - 6

14y = 3x + 8

-3x + 14y = 8 ------------------------(II)

Multiply equation (I) by 3 and equation (II) by 5 and then add

(I)*3              15x - 18y = 12

(II)*5           <u>-15x  + 70y = 40</u>     {Now add}

                          52y = 52

                              y = 52/52

                            y = 1

Substitute y =1 in equation (I)

5x - 6*1 =  4

5x - 6 = 4

      5x = 4 +6

      5x = 10

         x = 10/5

x = 2

7 0
3 years ago
Jase's farm has 9 chickens, each of which laid 3 eggs. Jases farm has 4 horses. Edna's farm has chickens which laid a total of 2
s344n2d4d5 [400]

Answer:

You can use the basic multipication as an infrence



5 0
3 years ago
If x is greater than 16 and less than 25, then is _____.
Akimi4 [234]

Answer:

greater than 16 and less than 25(easy)

6 0
3 years ago
Please help due ASAP <br> Show workings please
Nostrana [21]

Step-by-step explanation:

I don't know if this is the right way to so it, but I would do it like this

since a triangle has 180 degrees, the angles all have to add up to 180

So 180 = a + b + c

we already know a, its 95

So 180 = 95 + b + c

now we know the equation for b, so we'll just put it there instead of the b, and since the angles are the same, we should put it instead of c too

180 = 95 + (4x-15) + (4x-15)

now subtract 95 from both sides

85 = (4x-15) + (4x-15)

add the xs and numbers together

85 = 8x - 30

now add the 30 to both sides

115 = 8x

divide by 8

your x is 14 3/8 or 14.375 or 115/8

that's not your angle, that's your x

5 0
3 years ago
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