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ss7ja [257]
3 years ago
9

A special deck of cards consists of 5 red cards, 20 blue cards, and 25 green cards. Svetlana selects 1 card from the special dec

k 500 times. How many times can she expect to draw a red card?
Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
7 0

Answer:The answer is 50

Step-by-step explanation:

The first step is to add up the numbers in order to get the outcome

5 red + 20 blue +25 green =5+20+25 =50

Step 2

Probability =no of events /no of outcome

We were asked to find the probability of red

Where red represent event

And the summation of red ,green and blue represents outcome .

So probability of red =5/50 = 1/10

Step 3

Recall in the question ,we were told that the card was selected 500 times ,so we multiply the probability of getting red by 500

1/10 *500 =50

Therefore the probability of drawing a red card from the special deck 500 times is 50 .

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mr Goodwill [35]

In the second fraction, factorize the denominator:

x^2-9x-10=(x-10)(x+1)

Then we have, as long as x\neq10,

\dfrac1{x-10}\div\dfrac{9x}{x^2-9x-10}=\dfrac{\frac1{x-10}}{\frac{9x}{(x-10)(x+1)}}=\dfrac1{\frac{9x}{x+1}}=\dfrac{x+1}{9x}

which you could also write as

\dfrac{x+1}{9x}=\dfrac x{9x}+\dfrac1{9x}=\dfrac19+\dfrac1{9x}

4 0
2 years ago
The circumference of a circle can be found using the formula C = 2r. Which is an equivalent equation solved for r? r = C r = C(2
vaieri [72.5K]

Answer:

r equals StartFraction C Over 2 pi EndFraction

Step-by-step explanation:

we know that

The circumference of a circle is equal to

C=2\pi r

where

r is the radius of the circle

Solve for r

That means -----> isolate the variable r

Divide by 2π both sides

\frac{C}{2\pi}=\frac{2\pi r}{2\pi}

Simplify right side

\frac{C}{2\pi}=r

Rewrite

r=\frac{C}{2\pi}

so

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5 0
3 years ago
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An 18 foot ladder is leaned against a wall if the base of the ladder is 8 feet from the wall how high up on the wall will the la
Aloiza [94]

Answer:

16.12ft

Step-by-step explanation:

Check attachment

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3 years ago
A multinational firm wants to estimate the average number of hours in a month that theiremployees spend on social media while on
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Answer:

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Step-by-step explanation:

  1. subtracting 1 from sample size: 83-1= 82
  2. Note Mean=21.5 and standard deviation=2.5
  3. Subtracting confidence interval from 1 and dividing by 2: (1-0.95)/2=0.025
  4. At α=0.025 and dF=82,  the t-distribution table gives  1.984
  5. Divide standard deviation by square root of sample size: 21.5/√83= 2.36
  6. Multiplying answer in step 4 by answer in step 5: 2.36×1.984= 4.68
  7. For lower end: 21.5-4.68= 16.82
  8. for upper end: 21.5+4.68=26.18

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3 years ago
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