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3 years ago

How do you simplify

Mathematics

1 answer:

ki77a [65]3 years ago

4 0

This is t the simplified version of the fraction thingy in your picture.

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The probability of drawing a heart from a standard deck of cards is 0.25. You record the car do you draw and return the car befo

Licemer1 [7]

Answer: C) 0.112

Step-by-step explanation:

In binomial distribution with parameters n (Total trails) and p (probability of getting success sin each trial) , the probability of getting success in x trials is given by :-

$P(X=x)=^nC_xp^x(1-p)^{n-x}$

Given : The probability of drawing a heart from a standard deck of cards is 0.25

Here , getting heart is the success.

Then p= 0.25

For n= 20

The probability that you will draw a heart seven times i.e. x= 7:

$P(X=7)=^{20}C_7(0.25)^7(1-0.25)^{20-7}$

$P(X=7)=\dfrac{20!}{7!(20-7)!}(0.25)^7(1-0.25)^{20-7}\ \ [\because\ ^nC_r=\dfrac{n!}{r!(n-r)!}]$

$=\dfrac{20\times19\times18\times17\times16\times15\times14\times13!}{7!13!}(0.25)^7(0.75)^{13}\\\\=77520(0.00006103515625)(0.0237572640181)\\\\=0.112406195476\approx0.112$

Hence, the probability that you will draw a heart seven times = 0.112

Thus , the correct answer is C) 0.112 .

8 0

3 years ago

a ship sails 20km due north. It changes direction and then sails 15 due east. How far is it from its starting point?

Feliz [49]

It is 35km from its starting point

7 0

3 years ago

The radius of the water well is 9 inches. Find the area of the water well

leva [86]

Answer:

A=254.34

Step-by-step explanation:

1. A=πr²

2. A=π(9)²

3. A=π(81)

4. A=3.14(81)

5. A=254.34

8 0

3 years ago

Read 2 more answers

The cost of renting a boat is $51 for 5 hours. Which of the following is not an equivalent rate? Give the letter of your answer

alexgriva [62]

B. Obviously all the numbers have to do with one and it’s 30. If it’s wrong let me know !

4 0

3 years ago

Corey spent 25% of his savings on a printer at Louie’s Electronics.

KengaRu [80]

Let c represent the original amount that this guy had saved up.

He spent 25% of this amount, or 0.25c, on the printer.

To progress further, we have to know how much the printer cost.

Supposing that the printer cost $100 (which we do not know as a fact), this would be equal to 0.25c.

Thus, his savings originally amounted to c = $100/0.25 = $400.

7 0

3 years ago