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vivado [14]
3 years ago
10

It is estimated that 55% of the freshmen entering a particular college will graduate from that college in four years.

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
8 0

Answer:

Step-by-step explanation:

Let x be a random variable representing the number of freshmen that will enter and graduate from the college. This is a binomial distribution since the outcomes are two ways. It is either they graduate or they don't graduate. The probability of success, p = 55/100 = 0.55

The probability of failure, q would be 1 - p = 1 - 0.55 = 0.45

a) We want to determine P(x = 3)

From the binomial distribution table,

P(x = 3) = 0.34

b) A majority would be all 3 and above graduating. From the binomial distribution table,

P(x ≥ 3) = 0.26

c) mean = np

mean = 80 × 0.55 = 44

Standard deviation = √npq

Standard deviation = √80 × 0.55 × 0.45 = 4.45

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Two doctors is what percent of 25 doctors
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Answer:

0. 8?

Step-by-step explanation:

you have to divide 2 by 25. If you have the percent and want to find the nonpercent like 2 of 25, then you multiply . 08 by 25 and you get 2

4 0
3 years ago
consider the line y= 2/3x-0. Find the equation of the line that is parallel to this line and passes through the point (8, 4).
tresset_1 [31]
Point-slope form of a line: we need a point (x₀,y₀) and the slope "m".
y-y₀=m(x-x₀)

slope intercept form :
y=m+b

m=slope

If the line is parallel to y=2/3 x-0, the line will have the same slope, therefore the slope will be: 2/3.

Data:
(8,4)
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y-y₀=m(x-x₀)
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y-4=2/3 x-16/3
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if we have the next slope "m",then the perendicular slope will be:
m´=-1/m

We have this equation: y=2/3 x+0; the slope is: m=2/3.

The perpendicular slope will be: m`=-1/(2/3)=-3/2

And the equation of the perpendicular line to : y=2/3 x+0, given the point (8,4) will be:

y-y₀=m(x-x₀)
y-4=-3/2 (x-8)
y-4=-3/2 x+12
y=-3/2x + 12+4
y=-3/2x+16

answer: the perpendicular line to y=2/3 x+0 , given the point (8,4) will be:
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3 0
3 years ago
What are the solutions of the equation (x−13)2=400?
Slav-nsk [51]

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<h2>        x = −7  and  x = 33</h2>

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7 0
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Plz help ASAP with Question 14
Yuliya22 [10]

Answer:

5000 cubic ft is the correct answer

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Lenny is 3 times older than Max. When you subtract Max's age from lenny's age, you get 24. How old is Lenny and how old is max?
Helga [31]
Let Max be x years.

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