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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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Maria's Grocery Store buys grapefruit at a cost
Amanda [17]

Answer: 25 grapefruits

Step-by-step explanation:

They buy grapefruit at a price of 5 per dollar. This means that the price per grapefruit is:

= 1 / 5

= $0.20 per grapefruit.

They then sell at a price of 5 per $3. The selling price per grapefruit is:

= 3 / 5

= $0.60

The profit per grapefruit is:

= 0.60 - 0.20

= $0.40

In order to make a profit of $10, they should sell:

= 10 / 0.4

= 25 grapefruits

4 0
3 years ago
The Lovin lemon company sells a 4 gallon jug of lemonade for $24 dollars. The sweet and Sour company sells an eight pack of 1 qu
aivan3 [116]

Answer:

lovin lemon co. sells 1 gallon for 24/4 = $6

sweet & sour co. sells 8 qt = 2 gallons for 16/2 = $8

3 0
3 years ago
Help me pls find m<b. also to the best of your ability, pls explain it in your answer.
rewona [7]

The measure of angle B is equal to 60 degrees.

In order to find this, we can first note that the angle C (in the right side triangle) is equal to 80 degrees. We can tell this because it creates a straight line with the other angle C and therefore the two combined give us 180 degrees.

Then we can add angle A, B and C together in the right side triangle to get 180 degrees since they are all the measures of angles in a triangle.

A + B + C = 180

2x + 3x + 80 = 180

5x + 80 = 180

5x = 100

x = 20

Now that we have the x value, we can plug into the equation for B.

B = 3x

B = 3(20)

B = 60

3 0
3 years ago
What is the equation of this graphed line?
barxatty [35]

Answer:

y=-\frac{1}{3}x-5

Step-by-step explanation:

Given:

The two points on the line are:

(x_1,y_1)=(-6,-3)\\(x_2,y_2)=(6,-7)

Now, for a line with two points on it, the slope of the line is given as:

m=\frac{y_2-y_1}{x_2-x_1}

For the points (x_1,y_1)=(-6,-3)\ and\ (x_2,y_2)=(6,-7), slope is:

m=\frac{-7-(-3)}{6-(-6)}\\m=\frac{-7+3}{6+6}\\m=\frac{-4}{12}=-\frac{1}{3}

Now, for a line with slope 'm' and a point (x_1,y_1) on it is given as:

y-y_1=m(x-x_1)

Plug in all the values and determine the equation of the line. This gives,

y-(-3)=-\frac{1}{3}(x-(-6))\\\\y+3=-\frac{1}{3}(x+6)\\\\y+3=-\frac{1}{3}x-\frac{1}{3}\times 6\\\\y+3=-\frac{1}{3}x-2\\\\y=-\frac{1}{3}x-2-3\\\\y=-\frac{1}{3}x-5

Therefore, the equation of the line is:

y=-\frac{1}{3}x-5

4 0
3 years ago
Which of the following best represents the average speed of a fast runner?
Tpy6a [65]
For the answer to the question above, the easiest way to determine is changing every runner's speed into the same unit.

<span>First = 10 m/s </span>

<span>Second = 10 miles/min = 16090.34 / 60 m/s (As 1 mile = 1609.34 meter and 1 min = 60 sec) </span>
<span>Second = 260.82 m/s </span>

<span>Third = 10 cm/hr = 10*(0.01)/60*60 (As 1 cm = 0.01 m and 1 hr = 60*60 sec) </span>
<span>Third = 0.000028 m/s </span>

<span>Fourth = 10 km/sec = 10*1000 m/s (As 1 km = 1000 m and time is already in sec) </span>
<span>Fourth = 10000 m/s </span>

<span>So fastest would be the one who covers the largest distance in 1 sec. It would be the fourth one.</span>
3 0
3 years ago
Read 2 more answers
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