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Marrrta [24]
3 years ago
11

(02.06) The table below shows that 1 day equals 24 hours. Notice that 12 hours is one-half of that. Use the table to help you de

termine how many days are equal to 42 hours. 1 day 24 hours 12 hours 12 hours (3 points) 1 and 1 over 4. days 1 and 1 over 2. days 1 and 3 over 4. days 2 days
Mathematics
1 answer:
mixer [17]3 years ago
5 0

Answer:

1 and 3/4 days are equal to 42 hours

Step-by-step explanation:

42 hours = (42 hours) (1 day / 24 hours)

42 hours = 42/24 days

Simplyfing the fraction: Dividing the numerator and denominator by 6:

42 hours = (42/6) /  (24/6) days

42 hours = 7/4 days

42 hours = (4+3)/4 days

42 hours = (4/4+3/4) days

42 hours = 1 3/4 days

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bazaltina [42]

(a) The marginal distribution of <em>X</em> is

Pr(<em>X</em> = <em>x</em>) = ∑ Pr(<em>X</em> = <em>x</em>, <em>Y</em> = <em>y</em>)

… = 0.0625 + 0.0625 + 0.0625 + 0.0625

… = 0.25

That is, the first equality follows from the law of total probability, with the sum taken over <em>y</em> from {0, 5, 10, 15}. Each probability Pr(<em>X</em> = <em>x</em>, <em>Y</em> = <em>y</em>) is given in the table to be 0.0625.

Similarly, the marginal distribution of <em>Y</em> is

Pr(<em>Y</em> = <em>y</em>) = 0.25

(b) Yes, they're independent because

Pr(<em>X</em> = <em>x</em>, <em>Y</em> = <em>y</em>) = 0.0625,

and

Pr(<em>X</em> = <em>x</em>) Pr(<em>Y</em> = <em>y</em>) = 0.25 • 0.25 = 0.0625.

(c) The mean of <em>X</em> is

E[<em>X</em>] = ∑ <em>x</em> Pr(<em>X</em> = <em>x</em>)

… = 0.25 ∑ <em>x</em>

<em>… </em>= 0.25 (0 + 5 + 10 + 15)

… = 7.5

and you would find the same mean for <em>Y</em>,

E[<em>Y</em>] = 7.5

The variance of <em>X</em> is

V[<em>X</em>] = E[<em>X</em>^2] - E[<em>X</em>]^2

… = (∑ <em>x</em>^2 Pr(<em>X</em> = <em>x</em>)) - 7.5^2

… = 0.25 (∑ <em>x</em>^2) - 56.25

… = 0.25 (0^2 + 5^2 + 10^2 + 15^2) - 56.25

… = 31.25

and similarly,

V[<em>Y</em>] = 31.25

(each sum is taken with <em>x</em> and <em>y</em> from {0, 5, 10, 15})

7 0
3 years ago
The number 3.07 × 10 -4 written in standard form is _____.
Nina [5.8K]

Answer:

0.000307

Step-by-step explanation:there will be no explaintion but it should be correct

8 0
3 years ago
How to write 23 minutes after 4
olga_2 [115]
To write 4 as a time you write 4:00,  Then the word after means to add 23 minutes to the 4 so we have 4:23
6 0
3 years ago
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A football team has 26 players. How many more players should the coach recruit to meet his goal of having 32 players on the team
Elanso [62]
6 more playersssssss
8 0
3 years ago
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What is the value of the expression
Arturiano [62]

Answer:

OA) 14

Step-by-step explanation:

2((7+1)-1)

2(8-1)

You could expand the brackets then simplify or just simplify now. It will be better to simplify now though but I will do both methods.

Simplifying first:

2(7) = 2 × 7 = 14

Our answer is 14 So answer is OA) 14

Expanding first then simplifying:

2(8-1) = 16-2 = 14

Our answer is 14 So answer is OA) 14

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2 years ago
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