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dusya [7]
2 years ago
6

Mathew rolls a number cube labeled with the numbers 1−6. He then flips a fair coin. What is the probability that he rolls a 4 an

d flips a head?
Mathematics
2 answers:
KATRIN_1 [288]2 years ago
7 0

Answer:

0.083

Step-by-step explanation:

Numbers of Cube = 6

Faces on coins = 2

Therefore, The total outcomes = 6 \times 2 = 12

Now the favourable outcome that he rolls a 4 & flips a head = 1

The probability that he rolls a 4 & flips a head = 1

\frac{Favourable \: Outcome}{Total \: Outcome}

=> The probability that he rolls a 4 & flips a head = \frac{1}{2}  = 0.83333/ approx. 0.83

Therefore, The probability that he rolls a 4 & flips a head = 0.083

xxMikexx [17]2 years ago
6 0

Answer:

its 1/12

Step-by-step explanation:

just saw the question on edgen

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Anthony is informed that there is a 10% chance that he will be hired by the prestigious Acme corporation. He believes that, give
Korolek [52]

Answer:

8% probability that Anthony will soon be playing on the Acme golf team

Step-by-step explanation:

We have these following probabilities:

10% probability that he is hired by the corporation.

If he is hired by the corporation, an 80% probability that he will earn a spot on the golf team.

Given this information we can estimate that the likelihood that Anthony will soon be playing on the Acme golf team to be:

80% of 10%

So

P = 0.8*0.1 = 0.08

8% probability that Anthony will soon be playing on the Acme golf team

4 0
2 years ago
If the federal reserve decreases the reserve rate from 2.5% to 1.25% how does this affect the amount of money that would result
kirza4 [7]
The correct answer for this question is this one: "D it increases by $1,800,000"
<span>If the federal reserve decreases the reserve rate from 2.5% to 1.25%,  this affect the amount of money that would result because of fractional reserve banking from an initial deposit in a bank of $45,000 is that </span><u>it increases by $1,800,000</u>Hope this helps answer your question and have a nice day ahead.
3 0
2 years ago
Suppose 50 percent of the customers at Pizza Palooza order a square pizza, 70 percent order a soft drink, and 35 percent order b
Firdavs [7]

Answer:

Ordering a soft drink is independent of ordering a square pizza.

Step-by-step explanation:

20% more customers order a soft drink than pizza, therefore they cannot be intertwined.

Given: P(A)=0.5 & P(B)=.7

P(A∩B) =  P(A) × P(B)

=  0.5 × .7

=  0.35

P(A∪B) =  P(A) + P(B) - P(A∩B)

=  0.5 + .7 - 0.35

=  0.85

P(AΔB) =  P(A) + P(B) - 2P(A∩B)

=  0.5 + .7 - 2×0.35

=  0.5

P(A') =  1 - P(A)

=  1 - 0.5

=  0.5

P(B') =  1 - P(B)

=  1 - .7

=  0.3

P((A∪B)') =  1 - P(A∪B)

=  1 - 0.85

=  0.15

7 0
1 year ago
The top of a ladder is 4m up a vertical wall.The bottom is 2m from the wall.The coordinate axes are the wall and the horizontal
mash [69]

Answer:

Part a) y=-2x+4

Part b) The coordinates of the point are (\frac{4}{3},\frac{4}{3})

Step-by-step explanation:

Part a) Find the equation representing the ladder

we have the ordered pairs

(0,4) and (2,0)

Find the slope

m=(0-4)/(2-0)=-2

Find the equation of the line in slope intercept form

y=mx+b

we have

m=-2\\b=4

substitute

y=-2x+4

Part b) A square box just fits under the ladder.Find the coordinates of the point where the box touches the ladder.

If the box is a square

the x-coordinate of the point where the box touches the ladder must be equal to the y-coordinate

x=y

y=-2x+4

substitute

x=-2x+4\\3x=4\\x=\frac{4}{3}

y=x=\frac{4}{3}

therefore

The coordinates of the point are (\frac{4}{3},\frac{4}{3})

6 0
1 year ago
A triangle has two sides that are perpendicular. Could the triangle be isosceles, equilateral, or scalene? Explain.
marta [7]
It could only be scalene or isosceles ... an equilateral triangle has all 60 degree angles
Isosceles- 90-45-45 degrees
Scalene- 90-35-55 degrees

8 0
2 years ago
Read 2 more answers
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