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never [62]
3 years ago
8

Five applicants are to be scheduled for job interviews at five given times. On an application form, each applicant was asked to

mark two out of the five times. What is the probability that each of them can be interviewed at one of the two times they have marked
Mathematics
1 answer:
dlinn [17]3 years ago
6 0

Answer:

0.01024

Step-by-step explanation:

Assume marking was done at random : Hence, each of the 5 time slots have equal Chamves of being marked ;

Number of time slots, n = 5

Required to mark, number of preferred timeslot x = 2

P(x) = 2 /5 = 0.4

Probability of 0.4 that an interviewee gets one of his preferred timeslot.

Probability that each of the 5 interviewees gets one of their preferred time slots :

Using the multiplication rule of independence :

0.4 * 0.4 * 0.4 * 0.4 * 0.4 = 0.4^5 = 0.01024

0.01024 * 100% = 1.024%

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What is the square root of 5 divided by the square root of 15 and simplify and in fraction form​
ozzi

Answer:

\sqrt{\frac{1}{3} }

or

\frac{\sqrt{3} }{3}

Step-by-step explanation:

The expression \frac{\sqrt{5} }{\sqrt{15} } can be simplified by first writing the fraction under one single radical instead of two.

\frac{\sqrt{5} }{\sqrt{15} } = \sqrt{\frac{5}{15} }

5/15 simplifies because both share the same factor 5.

It becomes \sqrt{\frac{5}{15} } = \sqrt{\frac{1}{3} }

This can simplify further by breaking apart the radical.

\sqrt{\frac{1}{3} }  = \frac{\sqrt{1} }{\sqrt{3} }  = \frac{1}{\sqrt{3} }

A radical cannot be left in the denominator, so rationalize it by multiplying by √3 to numerator and denominator.

\frac{1}{\sqrt{3} } *\frac{\sqrt{3} }{\sqrt{3} }  =\frac{\sqrt{3} }{3}

4 0
3 years ago
10. How many three-topping pizzas can be ordered from the list of toppings below? Did you calculate the number of permutations o
Nimfa-mama [501]

Step-by-step explanation:

Total numbers of pizza toppings = 12

Number of three topping pizzas can be ordered are:

P^{n}_{k}=\frac{n!}{(n-k)!}

where = n = number of elements

k = number of elements choosen

n= 12 , k = 3

\frac{12!}{(12-3)!} =\frac{12\times 11\times 10\times 9!}{9!}= 1,320

We calculated the number of permutations. We made this choice because in permutation order of element matters but in combination its not.

8 0
3 years ago
What is the range of h (x)
Svet_ta [14]

The range of the function is the set of all possible outputs, that is, the set of all values obtained by applying the function to elements of the domain. So the set of all values which can be obtained by applying h(x) to an element of its domain is {−4,0,5,60} , and thus that is the range of h(x) .
6 0
4 years ago
Please explain in simple language how to complete the square.
dsp73

Answer:

Step 1 Divide all terms by a (the coefficient of x2).

Step 2 Move the number term (c/a) to the right side of the equation.

Step 3 Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.

Step-by-step explanation:

hope i helped

3 0
3 years ago
What is the equation of this line?<br> A) y=4x<br> B) y= 1/4x<br> C) y= -1/4x<br> D) -4x
Thepotemich [5.8K]
Answer:
C) y=-1/4x

Explanation:
4 0
3 years ago
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