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agasfer [191]
3 years ago
15

A six-sided die is tossed and a coin is flipped. What is the fractional probability that the die lands on 4 and the coin is head

s?
Mathematics
1 answer:
Nataliya [291]3 years ago
8 0

Answer:

1/12

Step-by-step explanation:

First we have to calculate the sample space i.e. The total number of outcomes,

(H represents heads, T represents Tails and Numericals represent the number on the die)

H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6

= 12 sample spaces

Ok now so what is the probability that the die lands on 4 and it pops up as heads. So when we see the total outcomes we see that such event has only one such outcome

The number of outcomes/Total number of outcome

So therfore we can represent it in fraction as

1 / 12

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$1,200 is deposited into an account with 4.5% simple interest. How much would it earn in interest after 3 years?
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$162

Step-by-step explanation:

$1200 x .045 = $54 x 3 years = $162

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PLEASE HELP THIS IS FOR MY DANCE CLASS
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The pythogarean theorem,

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The water reaches a max height when the horizontal distance from the firefighter to the building is approximately __m. Round to
elena-s [515]

The horizontal distance from the firefighter at which the maximum height of water occurs is 10.83m

<u>Explanation:</u>

Given:

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angle, θ = 30°

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the vertex is found at x = -b/2a

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As compared to the equation given:

a = -0.026

b = 0.563

Thus,

x = \frac{-0.563}{2 X -0.026} \\\\x = \frac{0.563}{0.052}\\ \\x = 10.83m

Therefore, horizontal distance from the firefighter at which the maximum height of water occurs is 10.83m

3 0
3 years ago
What is the slope of the line that passes through the points listed in the table?
Allisa [31]

Answer:

D. -4

Step-by-step explanation:

the slope formula is

m=(y2-y1)/(x2-x1)

(x2,y2) = (4,7)

(x1, y1) = (5,3)

So (7-3)/(4-5) = 4/-1 = -4

4 0
2 years ago
A roofer calculates his bid price using the formula P = 1.85s + 4.2f, where s is the area of the roof in square feet and f is th
solmaris [256]

Answer: 1,811 square foot

Step-by-step explanation:

Hi, to answer this question we have to solve the equation given, by substituting P = 4,148 and f=190 in the equation.

P = 1.85s + 4.2f

4,148 = 1.85s +4.2 (190)

Solving for s:

4,148 = 1.85s +798

4,148-798 =1.85s

3,350 = 1.85s

3,350/1.85 =s

s = 1,810.81 = 1,811 square foot  (rounded)

Feel free to ask for more if needed or if you did not understand something.

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