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charle [14.2K]
2 years ago
11

A fair coin is tossed 3 consecutive times. What is the probability that the result of the first toss is heads and the results of

the next two are tails?
A: 1/8
B: 1/6
C: 1/2
D: 1/4
Mathematics
1 answer:
julia-pushkina [17]2 years ago
8 0

Answer: a). 1/8

Step-by-step explanation:

If the coin is fair, then the odds of getting heads or tails should be equal, 12.

Then 3 tosses of tails will have a chance of 12⋅12⋅12=18.

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What is the product of -1/2 x 1/8 in simplest form
hjlf

Answer: Edit: -0.0625

Step-by-step explanation:

3 0
3 years ago
There are 16 pieces of fruit in a basket, including 2 nectarines. What is the probability that a randomly selected piece of frui
Ahat [919]

Answer:

1/8

Step-by-step explanation:

P(nectarine) = number of nectarines / total

                       =2/16

                        = 1/8

4 0
3 years ago
If Colorado spring, Colorado, has 1.2 times as many days of sunshine as Boston, Massachusetts, how many days of sunshine does ea
Crank
C= Colorado B= Boston
C + B = 464
C = 1.2B
Substitute the known value of C from the second equation into the first
C + B = 464
(1.2B) + B = 464
2.2B = 464
Divide each side by 2.2
B = 210.9, rounded to 211 (it's asking for days, not partial days, so round)
If Boston has 211 days of sunshine , then Colorado Springs has 1.2 times that amount. 211 * 1.2 = 253.2 (rounded to 253)
Verification
211 + 253 = 464
3 0
3 years ago
When dividing 82 by 43, Linda estimated the quotient to be 2. Examine Linda’s work, and explain what
Vanyuwa [196]

Answer:

82/43 = 1 and 39/43

Step-by-step explanation:

When dividing 82 by 43 , the operation follows;

82/43 = 1 and 39/43

This means the quotient is 1 and reminder is 39

However;

82/43 = 1.907 ------nearest whole number is 2.

so the quotient can be approximated to the nearest whole number as 2.

8 0
3 years ago
Write the equation of a line that is perpendicular to the given line and that passes through the given point.
poizon [28]

Answer: y=-3x+29

Step-by-step explanation:

First put in y-intercept form to find the slope

4x-12y=2\\-12y=-4x+2\\y=\frac{1}{3} x-\frac{1}{6}

Slope of the 1st equation is 1/3-  the slope of the line perpendicular is the opposite reciprocal, so in the case it is -3

Use the point and the new slope to write the new equation in point slope format

y-y_{1} =m(x-x_{1} )\\y-(-1)=-3(x-10)\\y+1=-3x+30\\y=-3x+29

8 0
3 years ago
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