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Ahat [919]
3 years ago
8

Tim spends about 1/3 of each weekday sleeping and about 7/24 of each weekday in school. What fraction of the weekday does Tim sp

end either sleeping or in school
Mathematics
1 answer:
White raven [17]3 years ago
3 0

We have been given that Tim spends about 1/3 of each weekday sleeping and about 7/24 of each weekday in school. And we need to find what fraction of the weekday does Tim spend either sleeping or in school.

This means that we need to find the time he spends in sleeping when he is in the school.

Therefore, we have to add the time he spends in sleeping and the time he spends in school.

Therefore, required fraction is given by

\frac{1}{3} +\frac{7}{24}

Now in order to add the fractions, we have to make the denominator same.

Multiply the numerator and denominator of first fraction by 8 to make the same denominator.

\frac{8}{24} +\frac{7}{24}

Now, we have the same denominator hence, we can add the numerator

\frac{8+7}{24}

\frac{15}{24}

Therefore, Tim spends 15/24 hours each weekday sleeping in the school.

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Answer:

y+1=-2(x+3)

Step-by-step explanation:

Slope is negative reciprocal when two lines are perpendicular

m1=1/2 therefore m2=-2

The equation of the line in point-slope form is given as

y-y_1=m_2(x-x_1)

Here m=-2 and (x1, y1)=(-3, -1)

Therefore,

y+1=-2(x+3)

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What is the slope of the line that passes through the points (2, -4) and (5, 2)? Write
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Answer:

Slope: 2

The slope how much y increases when x increases by 1.

Step-by-step explanation:

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2. Find the difference between both x-coordinates. (3)

Divide the difference between y and x. y/x=2

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What’s the side of 200cm in a square
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3 years ago
Suppose that Adam rolls a fair six-sided die and a fair four-sided die simultaneously. Let AAA be the event that the six-sided d
myrzilka [38]

The question is incomplete. Here is the complete question.

Suppose that Adam rolls a fair six-sided die and a fair four-sided die simultaneously. Let A be the event that the six-sided die is an even number and B be the event that the four-sided die is an odd number. Using the sample space of possible outcomes below, answer each of the following questions.

What is P(A), the probabillity that the six-sided die is an even number?

What is P(B), the probability of the four-sided die is an odd number?

What is P(A and B), the probability that the six-sided die is an even number  <em>and</em> the four-sided die is an odd number?

Are events A and B independent?

a) Yes, events A and B are independent events.

b) No, events A and B are not independent events.

Answer: P(A) = 1/2

P(B) = 1/2

P(A and B) = 1/4

a) Yes, events A and B are independent events.

Step-by-step explanation: The event A is related to a six-sided die, so total possibilities is 6.

For a six-sided die to show a even number, there are 3 possibilities: (2,4,6)

so, P(A) = 3/6 = 1/2

The event B is for a 4-sided die, i.e. total possibilities is 4.

To show an odd number, there are 2 possibilities: (1,3).

Then, P(B) = 2/4 = 1/2

Now, the probability of occuring A and B is:

P(A and B) = P(A).P(B)

P(A and B) = 1/2*1/2

P(A and B) = 1/4

The events are <u>independent</u> events because the probability of A happening does not influence the occuring of event B.

3 0
3 years ago
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