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3 years ago

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A class consists of 17 men and 14 women. An exam is given andstudents are ranked according to their performance. Assume notwo st

udents obtain the same score. If all rankings are consideredequally likely, what is the probability that women receive the top4 scores?

1 answer:

notsponge [240]3 years ago

5 0

Answer:

3.18%

Step-by-step explanation:

(14/31) X (13/30)X (12/29) X (11/28) = 0.0318 = 3.18%

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How to turn negative into mixed numbers into improper fractions

masya89 [10]

U turn negative numbers from mixed numbers to improper fractions the same way u do with positive...u just temporarily disregard the negative sign.

Example :
- 2 2/3.....temporarily disregard the negative sign......take ur whole number (2) and multiply it by ur denominator (3) giving u 6, then add that to ur numerator (2) giving u 8....then put that number over the original denominator (3) giving u 8/3...and then put back ur negative sign...-8/3

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3 years ago

A lunch box costs $4.50 plus sales tax. After sales tax, the lunch box is $4.86. What is the sales tax rate?

Alborosie

8 percent (C)

To find 1% you divide 4.50 by 100, which is 0.045.

Then you have to find what is added on.
4.86-4.50 is .36

Now you divide .36 by 0.045. An easier way to do this is 360 divided by 45. This equals 8.

Hope this helped

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3 years ago

Find the m∡B to the nearest tenth of a degree if cos B = 0.8926 and ∡B is an acute angle

mrs_skeptik [129]

Answer:

26.8°

Step-by-step explanation:

The cosine of an angle is the ratio of the adjacent side of the triangle in which the angle is formed to the hypotenuses side of the triangle. The cosine of the angle gives the ratio of these sides. However, the arc cosine of the ratio gives the angle measured in degrees.

If cos B = 0.8926

then arc cosine 0.8926 which may be expressed as cos-1 0.8926 will give the value of B.

B = cos-1 0.8926

= 26.8°

7 0

3 years ago

Solve the inequality y/ -6 is greater than 10

pashok25 [27]

Y<-60
hope this helps and good luck;)

4 0

3 years ago

There are 7 acts in a talent show.

lara31 [8.8K]

Answer:

<u><em></em></u>

<u><em>Event A: 1/35</em></u>

<u><em>Event B: 1/840</em></u>

<u><em></em></u>

Explanation:

<u>Event A</u>

For the event A, the order of the first 4 acts does not matter.

The number of different four acts taken from a set of seven acts, when the order does not matter, is calculated using the concept of combinations.

Thus, the number of ways that the first <em>four acts</em> can be scheduled is:

$C(m,n)=\dfrac{m!}{n!(m-n)!}$

$C(7,4)=\dfrac{7!}{4!(7-4)!}=\dfrac{7!}{4!(3)!}=35$

And<em> the number of ways that four acts is the singer, the juggler, the guitarist, and the violinist, in any order</em>, is 1: C(4,4).

Therefore the<em> probability of Event A</em> is:

$P(A)=1/35$

Event B

Now the order matters. The difference between combinations and permutations is ordering. When the order matters you need to use permutations.

The number of ways in which <em>four acts </em>can be scheculed when the order matters is:

$P(m,n)=\dfrac{m!}{(m-n)!}$

$P(m,n)=\dfrac{7!}{(7-4)!}=P(m,n)=\dfrac{7!}{4!}=840$

The number of ways <em>the comedian is first, the guitarist is second, the dancer is third, and the juggler is fourth</em> is 1: P(4,4)

Therefore, <em>the probability of Event B</em> is:

$P(B)=1/840$

7 0

3 years ago