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WARRIOR [948]
2 years ago
6

Yesterday's World Cup final had viewing figures of 138,695,157. What is the value of the 3?

Mathematics
1 answer:
crimeas [40]2 years ago
8 0

Answer:

The value of the 3 is 30,000,000.

Step-by-step explanation:

From the digit at the right, you go multiplying each element by 10 powered to a counter that starts at zero and increases at every digit. So:

Our counter is i

i = 0;

v(7) is the value of the 7

v(7) = 7*10^{0} = 7

i = 1;

v(5) is the value of the 5

v(5) = 5*10^{1} = 50

i = 2;

v(1) is the value of the 1

v(1) = 1*10^{2} = 100

i = 3;

v(5) is the value of the 5

v(5) = 5*10^{3} = 5,000

i = 4;

v(9) is the value of the 9

v(9) = 9*10^{4} = 90,000

i = 5;

v(6) is the value of the 6

v(6) = 6*10^{5} = 600,000

i = 6;

v(8) is the value of the 8

v(8) = 8*10^{6} = 8,000,000

i = 7;

v(3) is the value of the 3

v(3) = 3*10^{7} = 30,000,000

The value of the 3 is 30,000,000.

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By definition, the arc length is given by:
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 arc = (π / 5) * (2.8)
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 arc = ((3.14) / 5) * (2.8)
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the arc length is:
 
arc = 1.76 cm
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2 years ago
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Power usage is measured in kilowatt-hours, kWh. After 7 a.m., the power usage on a college campus increases at a rate of 21% per
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After 7 a.m., the power usage on a college campus increases at a rate of 21% per hour.

t be the number of hours

the power usage   increases at a rate of 21% per hour

21% = 0.21, constant rate = 0.21 . So slope = 0.21

Prior to 7 a.m., 15,040 kWh have been used.

At 7.am , power used = 15,040kWh. so our y intercept is 15,040

We use slope  intercept form y=mx+b

slope m = 0.21  and b = 15040

power usage , y = 0.21 t + 15040

The university has a daily goal to keep their power usage less than or equal to 100,000 kWh

Power usage is less than or equal to 100,000

So inequality becomes 0.21t + 15,040 <= 100,000


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Zacharias is using the quadratic formula to solve the equation 0 = –2x2 5x – 3. he begins by substituting as shown.quadratic for
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Answer:

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Step-by-step explanation:

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Amy is just learning how to rock climb. Her instructor takes her to a 26 ft climbing wall for her first time. She climbs up 5 ft
boyakko [2]
Let's compute the speeds as she goes up and down of the climbing wall. Speed is the ratio of distance to time.

Speed going up = 5 ft/(2min * 60 s/1 min) = 1/24 ft/s
Speed going down = 2 ft/10 s = 0.2 ft/s
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Using this net speed, we can already calculate for the total time:

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7 0
2 years ago
A committee of 15 members is voting on a proposal. Each member casts a yea or nay vote. On a random voting basis, what is the pr
Igoryamba

Answer:

0.006% probability that the final vote count is unanimous.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they vote yes, or they vote no. The probability of a person voting yes or no is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Random voting:

So 50% of voting yes, 50% no, so p = 0.5

15 members:

This means that n = 15

What is the probability that the final vote count is unanimous?

Either all vote no(P(X = 0)) or all vote yes(P(X = 15)). So

p = P(X = 0) + P(X = 15)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{15,0}.(0.5)^{0}.(0.5)^{15} = 0.00003

P(X = 15) = C_{15,15}.(0.5)^{15}.(0.5)^{0} = 0.00003

So

p = P(X = 0) + P(X = 15) = 0.00003 + 0.00003 = 0.00006

0.006% probability that the final vote count is unanimous.

7 0
2 years ago
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