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Sidana [21]
3 years ago
11

Events M and N are independent events. In this scenario, if P(M) = 0.46 and P(M and N) = 0.138, then P(N) = .

Mathematics
2 answers:
Oksi-84 [34.3K]3 years ago
7 0

Answer:

P(N)=0.3

Step-by-step explanation:

Given: P(M)= 0.46, P(M and N)=0.138

Using P(M) ×P(N)= P(M and N)

⇒0.46×P(N)= 0.138

⇒P(N)= \frac{0.138}{0.46}

⇒P(N)=0.3

olganol [36]3 years ago
3 0

Answer:

The value of P(N) is, 0.3

Step-by-step explanation:

If two events i.e A and B are independent then;

P(A \cap B) = P(A) \cdot P(B)

As per the statement:

Events M and N are independent events.

If P(M) = 0.46 and P(M \cap N) = 0.138

To find the value of P(N):

By definition we have;

P(M \cap N) = P(M) \cdot P(N)

Substitute the given values we have;

0.138 = 0.46 \cdot P(N)

Divide both sides by 0.46 we have;

0.3 = P(N)

or

P(N) = 0.3

Therefore, the value of P(N) is, 0.3

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kaheart [24]

Answer:

The first one is correct.

Hope this helps

Mark me brainliest if I'm right :)

7 0
3 years ago
An isosceles triangle has two sides of equal length, a, and a base, b. The perimeter of the triangle is 15.7 inches, so the equa
Setler [38]

Answer:

b=0.5 in

b=2 in

Step-by-step explanation:

we know that

The perimeter of triangle is equal to

2a+b=15

Solve for a

a=\frac{15-b}{2} -----> equation A

Applying the Triangle Inequality Theorem

a+a > b

2a > b -----> inequality B

<u>Verify each case</u>

case 1) b=-2 in

This value not make sense, the length side cannot be a negative number

case 2) b=0 in

This value not make sense

case 3) b=0.5 in

substitute the value of b in the equation A and solve for a

a=\frac{15-0.5}{2}=7.25\ in

substitute the values of b and  a in the inequality B

2a > b

2(7.25) > 0.5

14.50 > 0.5 -----> is  true

therefore

b=0.5 in  make sense for possible values of b

case 4) b=2 in

substitute the value of b in the equation A and solve for a

a=\frac{15-2}{2}=6.5\ in

substitute the values of b and  a in the inequality B

2a > b

2(6.5) > 2

13 > 2 -----> is true

therefore

b=2 in  make sense for possible values of b

case 5) b=7.9 in

substitute the value of b in the equation A and solve for a

a=\frac{15-7.9}{2}=3.55\ in

substitute the values of b and  a in the inequality B

2a > b

2(3.55) >7.9

7.1 > 7.9 -----> is not true

therefore

b=7.9 in  not make sense for possible values of b

5 0
3 years ago
Read 2 more answers
I needdd helpp :)))))
NeTakaya
I can’t see the scenario on top so can’t rlly help u out sorry
3 0
2 years ago
An elephant needs to drink at least 40 gallons of water each day. A drinking tank contains 4 gallons of water. The elephant has
natulia [17]
6 more gallons, I don’t know how it’ll be as an inequality though, maybe. 40x/4= 24x/4=6 ?
5 0
3 years ago
Use the discriminant to determine the number of real solutions to the equation,<br> 10n^2 = 10 - 8n
galben [10]

Answer:

2 real solutions

Step-by-step explanation:

Get all the terms to one side

10n^2 = 10 - 8n

10n^2 +8n -10 =0

ax^2 +bx+c =0

The discriminant is

b^2 -4ac

8^2 - 4(10)(-10)

64 +400

464

If the discriminant is greater than 0 we have 2 real solutions

6 0
3 years ago
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