Affirmative action commitments by many organizations have led to an increase in the number of women in executive positions. Satellite Office Systems has vacancies for two executives that it will fill from among four women and six men. What is the probability that at least one woman is selected

Answers

Answer 1

Answer:

2/3

Step-by-step explanation:

We solve with combination formula

C(n, r) = nCr = n!/r!( n - r)!

The selection will happen between four women and six men

Total number of people = Total number of possibly outcomes = Four women + six men

= 10 people

This can happen in two ways

a) 2 women

b) 1 man and 1 woman

The probability that at least one woman is selected =

4C2 ×(6C1 + 4C1)÷ 2 ways / 10C2

[6 × (6+ 4)] ÷ 2 / 45

= (6 × 10) ÷ 2/45

= 30/45

= 2/3


Related Questions

express each of the following percentages as a fraction. 45%

Answers

Answer:

9/20

Step-by-step explanation:

45% can be written as

= 45/100

= 9/20

Hope it will help u..

45% = 9/20
45% can be expressed as 45/100
simplify to get 9/20

Please help me ASAP!!!

Answers

Solution:

[tex] \huge \purple {\tt {{ (\frac{49}{64}) }^{ \frac{1}{2} } = \sqrt[2]{ \frac{49}{64} } = \frac{7}{8}}} [/tex]

Answer:

[tex] \huge \pink {\tt {\frac{7}{8}}} [/tex]

Answer:

[tex] \boxed{ \bold{ \huge{ \sf{ \frac{7}{8}}}}} [/tex]

Step-by-step explanation:

[tex] \star \tt{ \: \: ( \frac{49}{64} ) ^{ \frac{1}{2} } }[/tex]

[tex] \hookrightarrow{ \tt{( \frac{7 \times 7}{8 \times 8} ) ^{ \frac{1}{2} } }}[/tex]

[tex] \hookrightarrow{ \tt{ {( \frac{ {7}^{2} }{ {8}^{2} }) }^{2} }}[/tex]

[tex] \hookrightarrow{ \tt{ { (\frac{7}{8} )}^{2 \times \frac{1}{2} } }}[/tex]

[tex] \hookrightarrow{ \tt{( \frac{7}{8} ) ^{ \cancel{2} \times \frac{1}{ \cancel{2} } } }}[/tex]

[tex] \hookrightarrow{ \tt{( \frac{7}{8} )}}[/tex]

Hope I helped!

Best regards! :D

~TheAnimeGirl

Suppose the population of a certain city is 3339 thousand. It is expected to decrease to 2694 thousand in 50 years. Find the percent decrease.

Answers

Answer:

  -19.3%

Step-by-step explanation:

The percentage change in a value is computed from ...

  percent change = ((new value) -(old value))/(old value) × 100%

  = (2694 -3339)/3339 × 100% = -645/3339 × 100% ≈ -19.3%

The decrease in 50 years is about 19.3%.

x+x/7+1/11(x+x/7)=60

Answers

Answer:

5 yes or good i'm not good morning guys

Answer:x= 48.126

Step-by-step explanation:

What number is 10 times greater than 300?

Answers

The answer above is correct 30,000

The inequality for the given statement is 10x>300.

We need to find what number is 10 times greater than 300.

What is inequality?

In Mathematics, equations are not always about being balanced on both sides with an 'equal to' symbol. Sometimes it can be about a 'not an equal to' relationship like something is greater than the other or less than. In mathematics, inequality refers to a relationship that makes a non-equal comparison between two numbers or other mathematical expressions.

Let the unknown number be x.

Now, 10 times the number=10x

The number is 10 times greater than the 300.

That is, 10x>300

Therefore, the inequality for the given statement is 10x>300.

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The city library subscribes to
125 magazines at an
average cost of $23 a year
for each. What is the yearly
cost of all these magazines?

Answers

Answer:

Yearly Cost per each magazine=$23

Since there are 12 months in every year,

$23 × 12 =yearly cost

Therefore, $276 is equal to the yearly cost

where is the result of -5+3 located in a number line?

Answers

Answer:

-2 is found to the left of the origin (0), in a more specific way, -2 is 2 down to the left of zero.

Step-by-step explanation:

what is 2 + 2???????
i need help plz

Answers

Answer:

4

Step-by-step explanation: 2+2=4

because imagine if u had 2 dollars and your mom gave u another 2 dollars u will have 4 dollars

4 Imagine you have 2 apples, you get 2 more then you come back to the number of apples which means 4.

D
Franklin needs 2.75 cups
of flour for every 1.5 cups
of sugar in his cookie
recipe. This will yield 3.5
dozen cookies. What is the
unit rate for sugar per
cookie? Round your
answer to the tenths place.
1.3 cups of sugar

Answers

The answer is god amen

Dr. Jane is studying the growing population of a species of jellyfish in a body of water. Each year, she records the population of jellyfish. The first year, she recorded a population of 15 jellyfish. Every following year, the population increased by four times the previous year’s population. At this rate, what will be the jellyfish population in the 9th year of her study?

Answers

Answer:

983040

Step-by-step explanation:

Second Year : 15x4=60

Third Year : 60x4=240

Fourth Year : 240x4=960

Fifth Year : 960x4=3840

Sixth Year : 3840x4=15360

Seventh Year : 15360x4 = 61440

Eighth Year: 61440x4=245760

Ninth Year : 245760x4= 983040

I’m I think it is uh

if 10 days needed to earn 1 $ then how many days will take to earn 46$?

Answers

460days
Because 10 days : 1$
X days : 46$
So X= 10*46/1= 460days

Which two expressions are equivalent?
A. 5x - 5 and 5(x - 5)
B. 5(x - 5) and 5x - 25
C. 5x - 1 and 5(x - 5)
D. 5x(x - 1) and 5x - 5

Answers

Answer:

B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Can somebody help me with this?​

Answers

Answer: x=2

Step-by-step explanation:

We can see that ∠RTU and ∠STR make up ∠STU. Therefore, we add them together and set it equal to 114°.

24x+34x-2=114                [combine like terms]

58x-2=114                         [add both sides by 2]

58x=116                            [divide both sides by 58]

x=2

Now, we know that x=2.

The revenue for Company A was ​$239 ​million, compared to ​$467 million for Company B. The revenue for Company A was ____​% of the revenue for Company B. ​(Round to the nearest tenth as​ needed.)

Answers

The correct answer would be 51%. If you do 239/467 you get .5117 and then you round to the nearest 10th. The 5 is the the tenth and the first is closer to 0 than 10 so you would stay with 51 rather than 52

Company A's revenue was $239 million whereas Company B's was $467 million as a result revenue for Company A was equal to 52% of that for Company B. ​

What is the percentage?

It shows the proportion between two integers when stated as a decimal fraction of 100 parts. It is a statistic used to compare two sets of data, and the sign % is used to represent it as a percentage.

It is given that, the revenue for Company A was ​$239 ​million, compared to ​$467 million for Company B.

We have to find the % by which A was revenue for Company B.

Suppose  x% by which A was revenue for Company B.

⇒$467 of x =$239

⇒467×x​=239

⇒x=239/467

⇒x=0.5177 ≈ 0.52

⇒x%=52%

Thus, the revenue for Company A was equal to 52% of that for Company B. ​

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Ora Nation
sela
Barney went to play laser tag for the day and spent a total of $48.75. The laser tag
arena charges $12.50 for the first game and $7.25 for each additional game. The cost
of the first three games is shown below.
Time E
Attempt
7 Hour
1 game
2 games
3 games
$12.50
$19.75
$27.00
The equation to determine the number of additional games, g, Barney played is
7.259 + 12.50 = 48.75
• Solve the equation to determine the number of additional games, g, Barney played
. What is the total number of laser tag games that Barney played?
Barney played a total of
games.
Activate

Answers

Answer:

The first blank is g=5 Barney played 6 games of lazer tag

Step-by-step explanation:

7.25g+12.50=48.75

First subtract 12.50 from 48.75

7.25g=36.25

then divide 7.25 from both side

g=5

thats how many games he played that cost 7.25 and he played one game that cost 12.50 so he played 6 games  

what is a number in which the digit 7 is worth 70

Answers

Answer:

Tens, 70, 7x10'1

Calvin's credit card computes finance charges using the daily balance method. His card has a billing cycle of 30 days and an APR of 14.75%. The following table details Calvin's transactions in the month of September. Date 9/1 Amount ($) Transaction 716.54 Beginning balance 84.94 Purchase 977 9/12 Purchase 15.69 200.00 9/20 Payment What will Calvin's starting balance be next month? a. $617.17 b. $624.74 c. $625.91 d. $623.52​

Answers

Answer:

c. 625.91

Step-by-step explanation:

took the quiz an got 100%

The starting balance is $625.91 if the card has a billing cycle of 30 days and an APR of 14.75%. Option (C) is correct.

What is APR?

The full name of APR is the annual percentage rate. It is defined as the percentage rate applied on the borrowing money in the form of interest, but APR has applied annually.

We have:

His card has a billing cycle of 30 days and an APR of 14.75%.

Here the list data is not mentioned, clearly. Transactions with the amount.

As we know, the APR is the annual percentage rate, which is 14.75%.

Monthly percentage rate = 14.75/12 = 1.22%

But we can calculate the new balance with the formula:

Previous Balance + Finance Charge + New Purchases - (Payments + Credits) = New Balance

Thus, the starting balance is $625.91 if the card has a billing cycle of 30 days and an APR of 14.75%. Option (C) is correct.

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What is the effect on the graph of f(x) = x2 when it is transformed to
h(x) = 5x2 + 12?

Answers

The graph of the function h(x) = 5x² + 12 is more compact than the graph of function f(x) = x² and both the graphs represent parabolic curve along y axis.

What is graph?

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The graph of the two functions is attached with the answer below. For the first graph, we will get the parabola whose vertex lies on the origin.

For the function h(x) = 5x² + 12 the graph will again parabolic having its vertex at ( 0,12) and the parabola is more compact than the parabola of the function F(x) = x².

Therefore the graph of the function h(x) = 5x² + 12 is more compact than the graph of function f(x) = x² and both the graphs represent parabolic curve along y axis.

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A golf ball is selected at random from a golf bag. If the golf bag contains 6 green ​balls, ​5 red balls, and 9 brown ​balls, find the probability of the following event. The golf ball is green or red . The probability that the golf ball is green or red is nothing. ​(Type an integer or a decimal rounded to three decimal places as​ needed.)

Answers

Using it's concept, it is found that the probability that the golf ball is green or red is of 0.55.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there are 6 + 5 + 9 = 20 balls, of which 11 are green or red, hence the probability is given by:

p = 11/20 = 0.55.

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2x = 14
Help please I am stuck how do I check this?

Answers

Answer:

x=7

Step-by-step explanation:

The Answer is (X=7)

Hannah had $237 in her
bank account at the start of
the summer. She worked for four
weeks and now she has $1685
in her bank.how much did Hannah make each week in her summer job

Answers

Answer:

$362

Step-by-step explanation:

Step 1:

$1685 - $237

Step 2:

$1448 ÷ 4

Answer:

362

Hope This Helps :)

Find the h. c. f of 24, 30, 36​

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \text{6}}}}}[/tex]

Step-by-step explanation:

[tex] \bigstar{ \text{ \: H.C.F \: of \: 24, 30, 36}}[/tex]

[tex] \text{Step \: 1 : First \: of \: all \: find \: the \: prime \: factor \: of \: each \: number}[/tex]

[tex] \mapsto{ \sf{24 = \: 2 \: ∗ \: 2 \: ∗ \: 2 \: ∗ \: 3}}[/tex]

[tex] \mapsto{ \sf{30 = 2 \: ∗ \: 3 \: ∗ \: 5}}[/tex]

[tex] \mapsto{ \sf{36 = 2 \: ∗ \: 2 \: ∗ \: 3 \: ∗ \: 3}}[/tex]

[tex] \text{Step \: 2 : Take \: out \: the \: common \: prime \: factors \: of \: given \: number}[/tex]

[tex] \mapsto{ \sf{Common \: prime \: factors = 2 \: and \: 3 \: }}[/tex]

[tex] \text{Step \: 3 : \: Multiply \: those \: all \: common \: prime \: factors \: and \: the \: number \: which \: is \: obtained \: is \: h.c.f}[/tex]

[tex] \mapsto{ \sf{ \: H.C.F = Common \: prime \: factors}}[/tex]

[tex] \mapsto{ \sf{H.C.F = 2 \: ∗ \: 3}}[/tex]

[tex] \mapsto{ \boxed{\sf{H.C.F = 6}}}[/tex]

[tex] \text{∴ \: the \: H.C.F \: of \: 24 \: , \: 30 \: and \: 36 \: is \: 6. }[/tex]

[tex] \sf{Hope \: I \: helped !!}[/tex]

[tex] \sf{Best \: regards !!}[/tex]

~[tex] \text{ TheAnimeGirl}[/tex]

Which equation has a graph that is a parabola with a vertex at (-2, 0)?

y=-2x2
.y=(x + 2)2
O y = (x - 2)2
o y=x-2

Answers

Answer: B  

y=(x+2)^2

Step-by-step explanation:

e2020

Answer:

B

Step-by-step explanation:

Brainliest? lol

Aubrey's car used 4 gallons to travel 100 miles. How many miles can the car go on one gallon of gas?

Answers

Answer: 25 miles

Step-by-step explanation:

Divide total miles by total gallons.

100 / 4= 25 miles per gallon

pls answer All of the above..


1) Solve the equation.


-0.06 m = 7.2

m =



2)Solve the equation.

= -1.2

n =

Answers

Answer:

1)  m=0.0083....

Step-by-step explanation:

-0.06 divided by 7.2. that isolates m.


In 0.356, which digit is in the thousandths place?

Answers

Answer:

6 is in the thousandths place

Step-by-step explanation:

7. Write the equation of the line that passes through the
point P (0,0), and is parallel to the line y = 7x - 8. Write
the answer in slope-intercept form.

Answers

Answer: y=7x

Step-by-step explanation:

To find the line that is parallel to the given line, we know that the slope will stay the same. Parallel lines NEVER touch or cross. Therefore, the slope MUST stay the same. All we have to do is plug in the given point to find the y-intercept.

y=7x+b

0=7(0)+b          [multiply]

b=0

Now, we know the equation is y=7x+0 or y=7x.

Can someone please help, ty!!

Answers

Your answer is 0 by the way

12+8x10.00000000000000000

Answers

Answer:

92

Step-by-step explanation:

10.00000000000000000 is the same as just 10

so through bodmas/bidmas you know thta the multiplication ha sto be done first so 8 x 10 =80

no add the first value.

12+80=92

please help , i don’t know how to do these

Answers

2) 94, 124, 154

3) 8, 12, 16

4) -428, -528, -628

5) - 98, -118, 138

6) 13, 18, 23

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