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Usimov [2.4K]
3 years ago
7

In how many ways can nine books be arranged on a shelf if the three math books must be placed next to each other?

Mathematics
1 answer:
marusya05 [52]3 years ago
4 0
C 40,320 is. The answer
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In a survey of 300 college graduates, 53% reported that they entered a profession closely related to their college major. If 9 o
ExtremeBDS [4]

Answer:

0.1348 = 13.48% probability that 3 of them entered a profession closely related to their college major.

Step-by-step explanation:

For each graduate, there are only two possible outcomes. Either they entered a profession closely related to their college major, or they did not. The probability of a graduate entering a profession closely related to their college major is independent of other graduates. This, coupled with the fact that they are chosen with replacement, means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

53% reported that they entered a profession closely related to their college major.

This means that p = 0.53

9 of those survey subjects are randomly selected

This means that n = 9

What is the probability that 3 of them entered a profession closely related to their college major?

This is P(X = 3).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 9) = C_{9,3}.(0.53)^{3}.(0.47)^{6} = 0.1348

0.1348 = 13.48% probability that 3 of them entered a profession closely related to their college major.

6 0
3 years ago
Deanna and Alise are shopping. Deanna buys a sweater for $25 and 3 tubes of lip gloss. Alise buys a hat for $13 and five tubes o
geniusboy [140]

Answer:

$1.5

Step-by-step explanation:

So you need to subtract 25 from 13 = 12 then take 3 and 5 and add = 8 then you need to divide 12 from 8 = 1.5 so i do believe that the tubes are $1.5

I may be wrong and im sorry but pls try :3

3 0
3 years ago
Translate the phrase into an algebraic expression the product of c and 8
MAVERICK [17]
Product is multiplying. when you multiply a letter with a number you don't put any symbols so it would be 8c
6 0
3 years ago
What is the difference graphing sin(x)/cos(x) and sec(x)/csc(x)?
cupoosta [38]

Step-by-step explanation:

1. secx / cscx

2. sinx /cosx

7 0
2 years ago
Give the equation of the line that is perpendicular to y= (1/2)x -1 and passes through the point (3,4)
nexus9112 [7]

Answer: y = -2x + 10

Step-by-step explanation:

Two lines are said to be perpendicular if the product of their slope = -1, that is , if m_{1} is the slope of the first line and m_{2} is the slope of the second line , if the two lines are perpendicular , then m_{1}m_{2} = -1

The equation of the line given :

y = 1/2x - 1

comparing with the equation of line in slope intercept form

y = mx + c , where m is the slope and c is the y - intercept , it implies that

m_{1} = 1/2

Therefore :

m_{2} = -2

To find the equation of the line with slope -2  and passes through the point ( 3 , 4 ) we will use the formula

y-y_{1} = m (x-x_{1} )

y - 4 = -2 ( x - 3 )

y - 4 = -2x + 6

y = -2x + 6 + 4

y = -2x + 10

7 0
3 years ago
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