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Len [333]
3 years ago
8

Dave Flip a coin 20 times and got heads on eight of the flips Based on Dave's results what is the experimental probability of th

e coin landing on heads?​
Mathematics
1 answer:
Alex Ar [27]3 years ago
3 0

Answer:

Experimental probability of head = 2 / 5 or 40%

Step-by-step explanation:

Given:

Total chances of getting head = 20 times

Number of heads come = 8

Find:

Experimental probability of head

Computation:

Experimental probability of head = Number of heads come / Total chances of getting head

Experimental probability of head = 8 / 20

Experimental probability of head = 2 / 5 or 40%

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Ella has 0.5 lb of sugar. how much water should she add to make the following concentrations? Tell Ella how much syrup she will
makkiz [27]

Answer:

For 50% syrup, add 0.5 lb of water for 1 lb of syrup; for 5% syrup, add 9.5 lb of water for 10 lb of syrup; for 75% syrup, add 0.17 lb of water for 0.67 lb of syrup; for 1.5% syrup, add 32.8 lb of water for 33.3 lb of syrup.

Step-by-step explanation:

Let x represent the amount of water added.  This means the total mass of the syrup is represented by 0.5+x.

To find percentages, we divide the part by the whole.  For a 50% syrup, we need the part (sugar) compared to the whole (sugar + water) to equal 50%, or 0.50:

Multiply both sides by 0.5+x:

Using the distributive property, we have

0.5 = 0.5(0.5)+0.5(x)

0.5 = 0.25+0.5x

Subtract 0.25 from each side:

0.5-0.25 = 0.25+0.5x-0.25

0.25 = 0.5x

Divide both sides by 0.5:

0.25/0.5 = 0.5x/0.5

x = 0.5

For 50% syrup, add 0.5 lb of water.  This makes the total mass 0.5+0.5 = 1 lb.

For 5% syrup, we change the equation to equal 0.05 (5% = 5/100 = 0.05) and leave everything else the same:

Multiply both sides by 0.5+x:

Using the distributive property,

0.5 = 0.05(0.5)+0.05(x)

0.5 = 0.025 + 0.05x

Subtract 0.025 from both sides:

0.5-0.025 = 0.025+0.05x-0.025

0.475 = 0.05x

Divide both sides by 0.05:

0.475/0.05 = 0.05x/0.05

x = 9.5

For 5% syrup, add 9.5 lb of water; the total mass will be 9.5+0.5 = 10 lb.

For 75% syrup, set the equation equal to 0.75:

Using the distributive property,

0.5 = 0.75(0.5)+0.75(x)

0.5 = 0.375 + 0.75x

Subtract 0.375 from each side:

0.5 - 0.375 = 0.375 + 0.75x - 0.375

0.125 = 0.75x

Divide both sides by 0.75:

0.125/0.75 = 0.75x/0.75

0.17 = x

For 75% syrup, add 0.17 lb of water; the total mass is 0.17+0.5 = 0.67 lb.

For 1.5% syrup, set the equation equal to 0.015:

Using the distributive property,

0.5 = 0.015(0.5) + 0.015(x)

0.5 = 0.0075 + 0.015x

Subtract 0.0075 from each side:

0.5-0.0075 = 0.0075 + 0.015x - 0.0075

0.4925 = 0.015x

Divide both sides by 0.015:

0.4925/0.015 = 0.015x/0.015

32.8 = x

For 1.5% syrup, use 32.8 lb of water; the total mass is 32.8+0.5 = 33.3 lb.

I hope this is right and have a good day

3 0
3 years ago
Read 2 more answers
The cost of 10 days at Healthy Gym is $ .
liq [111]

Answer: $25

Step-by-step explanation:

4 0
3 years ago
If you know the number of yards for a measurement, you can change that measure to
otez555 [7]

Answer:

f(x) = 0.9144x

Step-by-step explanation:

To convert 3 yards to meters by multiplying 3*0.9144 = 2.7432 meters. This can be done for any number of yards x by writing f(x) = 0.9144x.

7 0
3 years ago
What is the sum of -19 and the product of 48 ?
lord [1]
-16 and -3

I just used 24 and 2, adding &/or subtracting to opposite sides until I got 16*3=48, whether they be positive or negative.

Add -16 and -3 together and you get -19.

Hope this helps you! :)
8 0
3 years ago
A bag contains 8 blue marbles 6 red marbles and 4 green marbles what is the probability of selecting a blue marble replaced it i
Sauron [17]

Answer:

\dfrac{4}{27}

Step-by-step explanation:

A bag contains 8 blue marbles 6 red marbles and 4 green marbles, 8 + 6 + 4 = 18 marbles in total.

The probability of selecting a blue marble is

P(\text{blue marble})=\dfrac{\text{Number of blue marbles}}{\text{Total number of marbles}}=\dfrac{8}{18}=\dfrac{4}{9}

Then the blue marble was replaced in the bag.

The probability of selecting a red marble is

P(\text{red marble})=\dfrac{\text{Number of red marbles}}{\text{Total number of marbles}}=\dfrac{6}{18}=\dfrac{1}{3}

The probability of selecting a blue marble replaced it in the bag and then selecting a red marble is

P=\dfrac{4}{9}\cdot \dfrac{1}{3}=\dfrac{4}{27}

4 0
3 years ago
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