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blagie [28]
3 years ago
11

Approximately 9 out of every 50 people who saw a movie this week say they watched it on Netflix. Suppose we want to find the pro

bability that a randomly selected movie-goer saw a movie on Netflix this weekend. Express that probability in three ways: As a fraction, a proportion, and a percentage.
Mathematics
1 answer:
uysha [10]3 years ago
6 0

Answer:

<u></u>

  • <u>1. As a fraction: 9/50</u>
  • <u>2. As a proportion: x/1 = 9/50</u>
  • <u>3. As a percentage: 18%</u>

<u></u>

Explanation:

<u>1. As a fraction:</u>

Depart from the definition of probability: probability is the number of favoragle outcomes divided by the total number of possible outcomes:

  • Probability = number of movie-goers who say they watched a movie on Netflix this week / number of movie-goers that saw a movie this week

  • Probability = 9 / 50

<u>2. As a proportion:</u>

A proportion is the equality of two ratios. In this case you must set the ratio of people who say they watched it on Netflx, x, per every people who saw a movie this week, 1, equal to the ration 9 /50.

Hence, the proportion that shows the probability is:

  • x / 1 = 9 / 50

Where x is the probability.

<u>3. As a percentage</u>

You just have to multiply the probability by 100:

  • (9/50) × 100 = 18%
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PLEASE HELP ME ASAP!
TEA [102]

Answer:

x=5, y=2

Step-by-step explanation:

You simply write down what you see:

3x - 4y + 4x - 5y = 17

2x - 3y + 3x - 5y = 9

Then you simplify by grouping the x and the y terms:

7x - 9y = 17

5x - 8y = 9

Now you want to get equal amounts of x or y. Let's go for x. If we multiply the top eq with 5 and the bottom one with -7, we get:

35x - 45y = 85

-35x  + 56y = -63

-------------------------+ now we can add them:

11y = 22 divide by -11

y = 2

So 7x - 18 = 17, x =5

Finally, it makes sense to double check by filling in these answers in the original equations, just to see if no mistakes were made:

3*5 - 4*2 = 7

4*5 - 5*2 = 10

7+10 = 17: ok!

2*5 - 3*2 = 4

3*5 - 5*2 = 5

4+5 = 9: ok!

4 0
3 years ago
What is the inverse of function F f(x) 3-x/7
algol [13]

Answer: f^-1(x)=-7x+3 maybe ? i think

Step-by-step explanation:

8 0
3 years ago
Given that Cosecant (t) = negative StartFraction 13 Over 5 EndFraction for Pi less-than t less-than StartFraction 3 pi Over 2 En
Sergio [31]

Answer:

\bold{cot(t) =\dfrac{12}{5}}

Step-by-step explanation:

Given that:

Cosec (t) = -\frac{13}5

for \pi < t < \frac{3 \pi}2

That means, angle t is in the 3rd quadrant.

To find:

Value of cot(t)

Solution:

First of all, let us recall what trigonometric ratios are positive and what trigonometric ratios are negative in 3rd quadrant.

In 3rd quadrant, tangent and cotangent are positive.

All other trigonometric ratios are negative.

Let us have a look at the following identity:

cosec^2\theta -cot^2\theta =1

here, \theta =t

So, cosec^2t-cot^2t=1

\Rightarrow (-\dfrac{13}{5})^2-cot^2t=1\\\Rightarrow (\dfrac{169}{25})-cot^2t=1\\\Rightarrow \dfrac{169}{25}-1=cot^2t\\\Rightarrow \dfrac{169-25}{25}=cot^2t\\\Rightarrow \dfrac{144}{25}=cot^2t\\\Rightarrow cot(t)=\pm\sqrt{\dfrac{144}{25}}\\\Rightarrow cot(t)=\pm\dfrac{12}{5}

But, angle t is in 3rd quadrant, so value of

\bold{cot(t) =\dfrac{12}{5}}

4 0
3 years ago
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goldenfox [79]
In plain text, it is appropriate to express the division using a division bar (/) and parentheses around the numerator and denominator:
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It is best to reserve the square root symbol (√) for an actual square root.

Your quotient is
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8 0
3 years ago
Powers of 5
Korvikt [17]

Answer:

divide the previous value by 5

Step-by-step explanation:

125/5 = 25

25/5 = 5

5/5 = 1

1/5 = ⅕

7 0
3 years ago
Read 2 more answers
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