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3 years ago

The staff at a company went from 40 to 29 employees. what is the percent decrease in staff

1 answer:

5 0

Number of employees outside of company=40-29=11

we can calculate the percent decrease in staff by the rule of 3

40 employees-----------------100%
11 employees---------------- x

x=(11 employees*100%) / 40 employees=27.5%

The percent decrease in staff was: 27.5%

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point) Covert the following integers from decimal notation to binary notation. (Do not put extra zeros in front of your binary n

Paha777 [63]

Answer:

The binary notation of the integer 234 is 11101010.

Step-by-step explanation:

To convert decimal to binary you must:

Divide the number by 2.
Get the integer quotient for the next iteration.
Get the remainder for the binary digit.
Repeat the steps until the quotient is equal to 0.
Write the remainders from bottom to top.

So, to convert the decimal number 234 to binary

$\left\begin{array}{ccc}\mathrm{Division\:by \:2}&\mathrm{Quotient}&\mathrm{Remainder}\\234/2&117&0\\117/2&58&1\\58/2&29&0\\29/2&14&1\\14/2&7&0\\7/2&3&1\\3/2&1&1\\1/2&0&1\end{array}\right$

The binary notation of the integer 234 is 11101010.

3 0

2 years ago

Five cards are drawn from a standard 52-card playing deck. A gambler has been dealt five cards—two aces, one king, one 3, and on

Nookie1986 [14]

Answer:

The probability that he ends up with a full house is 0.0083.

Step-by-step explanation:

We are given that a gambler has been dealt five cards—two aces, one king, one 3, and one 6. He discards the 3 and the 6 and is dealt two more cards.

We have to find the probability that he ends up with a full house (3 cards of one kind, 2 cards of another kind).

We know that gambler will end up with a full house in two different ways (knowing that he has given two more cards);

If he is given with two kings.
If he is given one king and one ace.

Only in these two situations, he will end up with a full house.

Now, there are three kings and two aces left which means at the time of drawing cards from the deck, the available cards will be 47.

So, the ways in which we can draw two kings from available three kings is given by = $\frac{^{3}C_2 }{^{47}C_2}$ {∵ one king is already there}

= $\frac{3!}{2! \times 1!}\times \frac{2! \times 45!}{47!}$ {∵ $^{n}C_r = \frac{n!}{r! \times (n-r)!}$ }

= $\frac{3}{1081}$ = 0.0028

Similarly, the ways in which one king and one ace can be drawn from available 3 kings and 2 aces is given by = $\frac{^{3}C_1 \times ^{2}C_1 }{^{47}C_2}$

= $\frac{3!}{1! \times 2!}\times \frac{2!}{1! \times 1!} \times \frac{2! \times 45!}{47!}$

= $\frac{6}{1081}$ = 0.0055

Now, probability that he ends up with a full house = $\frac{3}{1081} + \frac{6}{1081}$

= $\frac{9}{1081}$ = <u>0.0083</u>.

3 0

3 years ago

Read 2 more answers

George cut a cake into eight pieces. Explain what the unit fraction of the cake is.

morpeh [17]

Answer:

1/8th

Step-by-step explanation: A unit fraction is a rational number written as a fraction where the numerator is one and the denominator is a positive integer. A unit fraction is therefore the reciprocal of a positive integer, 1/n. Examples are 1/1, 1/2, 1/3, 1/4 ,1/5, etc. so in this case the cake is eight slices so 1/8

6 0

2 years ago

What is the exact value of tan 30° ? enter your answer, as a simplified fraction, in the box?

attashe74 [19]

In this question , we have to find the value of tan 30 and we need to write the answer in simplified form .

$tan x = \frac{sin x}{ cos x}$