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Wittaler [7]
3 years ago
11

At a football stadium, 5% of the fans in attendance were teenagers. If there were 10 teenagers at the football stadium, what was

the total number of people at the stadium?
Mathematics
1 answer:
TiliK225 [7]3 years ago
6 0

Answer:

200 people were at the stadium

Step-by-step explanation:

Let us represent the total number of people at the stadium = x

At a football stadium, 5% of the fans in attendance were teenagers. If there were 10 teenagers at the football stadium

Hence:

5% of total number of people = 10 teenagers

5/100 × x = 10

5x/100 = 10

Cross Multiply

5x = 100 × 10

5x = 1000

Divide both sides by 5

5x/5 = 1000/5

x = 200

The total number of people in the stadium is 200

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A group of 8 friends (5 girls and 3 boys) plans to watch a movie, but they have only 5 tickets. If they randomly decide who will
Eddi Din [679]

Answer:

D. 0.821

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The combinations formula is important to solve this question:

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)!}

Desired outcomes

The order is not important. For example, Elisa, Laura and Roze is the same outcome as Roze, Elisa and Laura. This is why we use the combinations formula.

At least 3 girls.

3 girls

3 girls from a set of 5 and 2 boys from a set of 3. So

C_{5,3}*C_{3,2} = 30

4 girls

4 girls from a set of 5 and 1 boy from a set of 3. So

C_{5,4}*C_{3,1} = 15

5 girls

5 girls from a set of 5

C_{5,5} = 1

D = 30+15+1 = 46

Total outcomes

5 from a set of 8. So

T = C_{8,5} = 56

Probability

P = \frac{D}{T} = \frac{46}{56} = 0.821

So the correct answer is:

D. 0.821

6 0
3 years ago
Read 2 more answers
The correlation between height and weight among men age 18-74 in the U.S. is about 0.40. Say whether each conclusion below follo
zzz [600]

Answer:

Options a, b, c are correct.

Step-by-step explanation:

First let's see the equation that governs the statement, which is the following:

r = \frac{cov (x, y)}{\sqrt{var(x) var (y)} }

Therefore, reading options a, b, c are correct.

Since from the formula we have the correlation coefficient of two variables x and y and here it shows us the correlation between x, y and y, x is the same.

 This means that the 0.4 correlation implies a moderate but positive relationship between the two variables.

 that is, the highest or lowest value of one variable implies a highest or lowest value of the other variable, respectively.

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3 years ago
Pls help, i will give brainiest if you do!
Elza [17]

Answer:

THE CORRECT ANSWER IS D " THE THEORETICAL PROBABILITY OF PULLING A BLUE PEN BASED ON THE EXPECTED FREQUENCY WILL GET CLOSER TO 1/2 AS THE NUMBER OF TRIALS INCREASES. "

4 0
3 years ago
Hi can someone check my answers please? thanks, :).
gregori [183]
The 3rd answer is wrong, the answer is 19.
The 5th answer is wrong, the answer is -9.
The 7th answer is wrong, the answer is 8.
The 11th answer is wrong, the answer is 2.
The 12th answer is wrong, the answer is 10.

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5 0
3 years ago
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I NEED HELP PLEASE, THANKS! :)
marissa [1.9K]

Answer:

x = 28.01t,

y = 10.26t - 4.9t^2 + 2

Step-by-step explanation:

If we are given that an object is thrown with an initial velocity of say, v1 m / s at a height of h meters, at an angle of theta ( θ ), these parametric equations would be in the following format -

x = ( 30 cos 20° )( time ),

y = - 4.9t^2 + ( 30 cos 20° )( time ) + 2

To determine " ( 30 cos 20° )( time ) " you would do the following calculations -

( x = 30 * 0.93... = ( About ) 28.01t

This represents our horizontal distance, respectively the vertical distance should be the following -

y = 30 * 0.34 - 4.9t^2,

( y = ( About ) 10.26t - 4.9t^2 + 2

In other words, our solution should be,

x = 28.01t,

y = 10.26t - 4.9t^2 + 2

<u><em>These are are parametric equations</em></u>

5 0
3 years ago
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