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ki77a [65]
3 years ago
9

Use the given probability of each event to find the probability of the complement

Mathematics
2 answers:
jolli1 [7]3 years ago
6 0

Answer:

75% and 1/3

Step-by-step explanation:

devlian [24]3 years ago
6 0

Answer:

75% and 1/3

Step-by-step explanation:

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F(x)=x^2+1 and g(x)= [x-1]\sqrt{x}[/x-1] state the domain and find fog and​
weeeeeb [17]

Step-by-step explanation:

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3 0
2 years ago
Suppose 4-year-olds in a certain country average 3 hours a day unsupervised and that most of the unsupervised children live in r
natta225 [31]

Answer:

D)the time (in hours) a 4-year-old spends unsupervised per day

Step-by-step explanation:

Given that 4-year-olds in a certain country average 3 hours a day unsupervised and that most of the unsupervised children live in rural areas, considered safe

X - the time (in hours) a 4-year-old spends unsupervised per day

X is N(3,1.8)

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4 0
3 years ago
What is the square root of m^6?
Nastasia [14]
Answer:
If m is nonnegative (ie not allowed to be negative), then the answer is m^3
If m is allowed to be negative, then the answer is either |m^3| or |m|^3

==============================

Explanation:

There are two ways to get this answer. The quickest is to simply divide the exponent 6 by 2 to get 6/2 = 3. This value of 3 is the final exponent over the base m. Why do we divide by 2? Because the square root is the same as having an exponent of 1/2 = 0.5, so
sqrt(m^6) = (m^6)^(1/2) = m^(6*1/2) = m^(6/2) = m^3
This assumes that m is nonnegative. 

---------------------------

A slightly longer method is to break up the square root into factors of m^2 each and then apply the rule that sqrt(x^2) = x, where x is nonnegative

sqrt(m^6) = sqrt(m^2*m^2*m^2)
sqrt(m^6) = sqrt(m^2)*sqrt(m^2)*sqrt(m^2)
sqrt(m^6) = m*m*m
sqrt(m^6) = m^3
where m is nonnegative

------------------------------

If we allow m to be negative, then the final result would be either |m^3| or |m|^3. 

The reason for the absolute value is to ensure that the expression m^3 is nonnegative. Keep in mind that m^6 is always nonnegative, so sqrt(m^6) is also always nonnegative. In order for sqrt(m^6) = m^3 to be true, the right side must be nonnegative.

Example: Let's say m = -2
m^6 = (-2)^6 = 64
sqrt(m^6) = sqrt(64) = 8
m^3 = (-2)^3 = -8
Without the absolute value, sqrt(m^6) = m^3 is false when m = -2

4 0
3 years ago
Find the midpoint of points A(-2,-8) and B(7,-4) graphically.
k0ka [10]

Answer:

The midpoint is (2.5,-6) or written as a fraction (\frac{5}{2}, -6)

Step-by-step explanation:

MP= (\frac{x_1+x_2}{2}),(\frac{y_1+y_2}{2} ) \\MP= (\frac{-2+7}{2}),(\frac{-8+-4}{2} ) \\MP= (\frac{5}{2}),(\frac{-12}{2} ) \\MP= (2.5,-6 )

7 0
3 years ago
Carl ran around the track 3 more times than Daria and 2 fewer times than Erin. When they were done they added up the number of l
Paul [167]

Answer:

Total laps = 10d

Step-by-step explanation:

Let c = Carl's laps

d = Daria's laps

e = Erin's laps

c = 3d

c = e/2

c + d + e = totals laps

We can insert 3d in place of c in the third equation

3d + d + e = total laps

Also, e/2 equals 3d

e/2 = 3d

Multiply both sides by 2

(e/2 = 3d)2

e = 6d

Insert the new e

3d + d + 6d = 10d = totals laps

3 0
2 years ago
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