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vodomira [7]
3 years ago
14

A bag contains 5 red, 3 green, 4 blue, and 8 yellow marbles. Find the probability of randomly selecting a blue marble.

Mathematics
1 answer:
Aleks04 [339]3 years ago
7 0

Answer:

the probability of randomly selecting a blue marble is 4/20

Step-by-step explanation:

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A new surgical procedure is said to be successful 60% of the time. Suppose the operation is performed five times and the results
USPshnik [31]

Answer:

0.07776, 0.3456,0.08704

Step-by-step explanation:

Given that a new surgical procedure is said to be successful 60% of the time

Let X be the no of successes

Then X has only two outcomes and each trial is independent of the other

Hence X is binomial with p = prob of success in a single trial = 0.60

n = Number of operations performed = 5

Prob that

a) all five operations are successful =

P(X=5)\\= (0.6)^5\\=0.07776

(b) exactly three are successful

=P(X=3) = 5C3 (0.6)^3(0.4)^2\\= 0.3456

(c) less than two are successful

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3 0
3 years ago
A nurse sees 24 patients in 5 hours. At this rate, approximately how many patients will the nurse be able to see in a 8-hour per
Vikki [24]

Hi!

We will solve this using proportions, like this:

24 patients in 5 hours

x patients in 8 hours

_________________

x = (24*8)/5

x = 192/5

x = 38,4

The nurse will be able to see 38,4 patients in a 8-hour period, but because it's patients we are talking about, living things which can't be represented in decimal form, the nurse will be able to see approximately 38 patients in a 8-hour period.

Hope this helps!

4 0
3 years ago
Solve for x:<br> <img src="https://tex.z-dn.net/?f=%202x%5E%7B2%2F3%7D%20%20%2B%203x%5E%7B1%2F3%7D%20-%202%20%3D%200%20" id="Tex
Margaret [11]

2x^{2/3}+3x^{1/3}-2=(2x^{1/3}-1)(x^{1/3}+2)=0

Then

2x^{1/3}-1=0\implies2x^{1/3}=1\implies x^{1/3}=\dfrac12\implies x=\dfrac18

or

x^{1/3}+2=0\implies x^{1/3}=-2\implies x=-8

(assuming you are solving over the real numbers)

4 0
3 years ago
Read 2 more answers
Use Natural Logarithms to solve the equation
Rus_ich [418]

Answer:

A) 0.106

Step-by-step explanation:

8e^3x + 4 = 15

Subtract 4 from each side

8e^3x + 4-4 = 15-4

8e^3x  = 11  

Divide each side by 8

8/8e^3x = 11/8

e^(3x) = 11/8

Take the natural log of each side

ln(e^(3x)) = ln(11/8)

3x = ln(11/8)

Divide by 3

3x/3 = 1/3 ln(11/8)

x = 1/3 ln(11/8)

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To the nearest thousandth

x = .106

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3 years ago
What is the answer to 29.14X5.2
Darya [45]
The answer is 151.528
7 0
4 years ago
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