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

Find the sum ( u2-6uv+5v2)+3u2+2uv

Answers

Answer:

4u2−4uv+5v2

Explanation:

Answer:

u2-6uv +5v2 +3u2+ 2uv

= 4u2 -4uv +5v2

Identify the function's local and absolute extreme values, if any, saying where they occur. f(x) = x^3 + 4x^2 - 3x - 4 A) local maximum at x = -1/3; local minimum at x = 3 B) local maximum at x = -1; local minimum at x = 1 C) local maximum at x = -3; local minimum at x 1/3 D) local maximum at x = -1; local minimum at x = 1

Answers

Answer: C) local maximum at x = -3; local minimum at x = 1/3

Step-by-step explanation:

Given the function:

f(x) = x^3 + 4x^2 - 3x - 4

Set f'(x) = 0

f'(x) = 3x² + 8x - 3

f'(x) = 0

3x² + 8x - 3 = 0

Using the quadratic function calculator :

x = - 3 or x = 1/3

Critical points = - 3 ; 1/3

To find the maximum and minimum points :

f''(x) = 6x + 8

Substitute the values of X in

At x = - 3

6(-3) + 8

-18 + 8 = - 10

At x = 1/3

6(1/3) + 8

2 + 8 = 10

Value of f''(x) at - 3 is negative, hence - 3 is the maximum point

Value of f''(x) at 1/3 is positive , hence 1/3 is the minimum point

*
(1 Punto)
(7.006 x 1041) x (5.09 x 1022)
OA 3.566 x 1041
OB 3.566 x 1062
ОС
3.566 x 1063
D
3.566 x 1064​

Answers

This question was not written properly

Complete Question

(7.006 x 10⁴¹) x (5.09 x 10²²)

OA) 3.566 x 10⁴¹

OB) 3.566 x 10⁶²

ОС) 3.566 x 10⁶³

OD)3.566 x 10⁶⁴

Answer:

D. 3.566 × 10⁶⁴

Step-by-step explanation:

We are asked to solve:

(7.006 x 10⁴¹) x (5.09 x 10²²)

When we multiply this together

= (7.006 × 5.09 ) × 10(⁴¹+²²)

= (7.006 × 5.09 ) × 10⁶³

= 35.66054 × 10⁶³

= 3.566054 ×10⁶⁴

Approximately = 3.566 × 10⁶⁴

How many x-intercepts can an absolute value graph have?

Answers

Answer:

Zero, One, Two

Step-by-step explanation:

It can never touch the x-axis

when it's like

[tex]y=a|x-b|+c[/tex]

with

[tex]c>0[/tex]

it will be upward

it can touch only once when it's like

[tex]y=a|x-b|[/tex]

it will touch it in  [tex](b,0)[/tex]

It can touch twice when it's like

[tex]y=a|x-b|-c[/tex]

with

[tex]c>0[/tex]

the equations are just an example, there can be other ways too

have three or more it's impossible, because the absolute value graph is the union of two lines, and each line at most can touch the x-axis once

Find the probability for one roll of a number cube.
P(number is not 5)

A. 0
B. 5/6
C. 1/6
D. 1

Answers

Answer:

for 5 probability is 1/6

for not a five = 1-1/6 = 5/6

Step-by-step explanation:

7900 dollars is placed in an account with an annual interest rate of 5.25%. To the
nearest tenth of a year, how long will it take for the account value to reach 34300
dollars?

Answers

Answer:

x=28.7

Step-by-step explanation:

I just answered the question.

2(4x - 3) 2-3(3x) + 5x​

Answers

Answer:

12x-12

Step-by-step explanation:

I believe this is the correct answer, but correct me if I'm wrong.

Is 0.843 less than 0.846

Answers

Answer:

0.003

Step-by-step explanation:

6-3 =3 and 4-4 = is 0 and 8-8= 0 so the answer is 0.003

Yes 0.843 is less then 0.846. 0.846 is 0.003 more then 0.843

my cashapp is $alanajackson

Answers

Answer:

uhh okay what's the question

Given f (x) = 2x + 1 , find x when f (2) = 9
A 4
B 19
C 13
D 9

Answers

Answer:

Step-by-step explanation:

2x + 1 = 9

2x = 8

x = 4

answer is A

Find the equation of the line using the point-slope formula. Write the final equation using slope- intercept form. 6 (1,2) with a slope of - 7 Enter the exact answer.​

Answers

Answer:

y = -7x + 9

Step-by-step explanation:

Point-slope form:

y - 2 = -7 (x -1)

y - 2 = -7x + 7

y - 2 + 2 = -7x + 7 +2

y = -7x + 9

midpoint of (5, 8) (-1, -4)

Answers

Answer:

(2,2)

Step-by-step explanation:

mid point formula: x1+x2/2      y1+y2/2

5+(-1)=4/2=2

8+(-4)=4/2=2

(2,2)

Sally used 3/4 cup of milk to make pancakes, 5/8 cup of milk to make scrambled eggs, and 1/2 cup of milk to make biscuits. How many cups of milk did Sally use altogether?

Answers

Answer:

1 7/8 cups

Step-by-step explanation:

This is a addition problem. You need to add three fractions, so you need a common denominator.

The LCD is 2, 4, and 8 is 8.

3/4 + 5/8 + 1/2 =

= 6/8 + 5/8 + 4/8

= 15/8

= 1 7/8

Answer: 1 7/8 cups

Christine runs 4 miles in 30 minutes. At the same rate, how many miles would she run in 48 minutes?

Answers

Answer:

she would run 6.4 miles in 48 min

Step-by-step explanation:

hope it helps

Which of the following quadrilaterals contains opposite angles that are congruent? Select all that apply.

trapezoid
isosceles trapezoid
parallelogram
rhombus
rectangle
square

Answers

The quadrilaterals that have opposite angles equal are parallelograms, Rhombus, Rectangle, and Square. The correct options are C, D, E, and F.

What are Quadrilaterals?

Quadrilaterals are polygons with four sides, four vertices, and four angles.

The quadrilaterals that have opposite angles equal are parallelograms, Rhombus, Rectangle, and Square.

The opposite sides and opposite angles are equal in a parallelogram.

All sides are equal and opposite angles are equal in a Rhombus.

Opposite sides are parallel and equal, and all angles measure 90 degrees in a Rectangle.

All sides and angles are equal in a square.

Therefore, The correct options are C, D, E, and F.

To know more about Quadrilaterals

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(2 points)
A polynomial is divided by (x - 2), the quotient is (x – 6), and the remainder is -6
What is the original polynomial

Answers

Answer: x^2-8x+6

=========================================================

Explanation:

n = numerator polynomial = unknown (what we want to solve for)

d = denominator polynomial = x-2

q = quotient = x-6

r = remainder = -6

Based on that, we can say,

n/d = q + r/d

n = q*d + r ... multiply every term by d

n = (x-6)(x-2) + (-6) .... substitution

n = x^2-8x+12-6

n = x^2-8x+6

Dividing (x^2-8x+6) over (x-2) leads to a quotient of (x-6) and a remainder of -6.

Should the painter use stencil one or stencil two for her project? Why? Explain in terms of rigid transformations.

Answers

Answer: The painter should use stencil one for her project because a series of rigid transformations maps stencil one to the original pattern. The shapes are the same because you don’t have to deform stencil one to match the original shape.

Step-by-step explanation:

i just got a 100

If F(x)=4x-3, evaluate the following a. F(5) b. F(-4)

Answers

Answer:

F(5) = 17, F(4) = -19

Step-by-step explanation:

F(5) = 4(5) - 3

F(5) = 20 - 3

F(5) = 17

F(4) = 4(-4) - 3

F(4) = -16 - 3

F(4) = -19

You asked a sample of individuals what kind of animal is their favorite. Of the 167 individuals in your sample, 52 of them answered "dog". Which of the following gives a 95% confidence interval for the true percentage of individuals whose favorite animal is a dog
a. (23.4%, 38.9%)
b. (16.8%, 32.3%)
c. (3.1696, 3.2696)
d. (2.21%,4.21%)

Answers

Answer:

a. (23.4%, 38.9%)

Step-by-step explanation:

Р = x/∝ = 52/167 = 0.3114

At 95% confidence level

∝ = 1 - 0.95 = 0.05

Zerit = Z0.05/2 = 1.96

Р ± Zerit [tex]\sqrt{P(1-P) / n}[/tex]

= 0.3114 ± 1.96 [tex]\sqrt{0.3114(1-0.3114) / 167}[/tex]

= 0.3114 ±  0.0702

= 0.2412 or 0.3816

= 24.1% or 38.1%

Closest Option = 23.4%, 38.9%

A 95% confidence interval for the true percentage of individuals whose favorite animal is a dog is (23.4%, 38.9%)

The formula for calculating the confidence interval based o proportion is expressed according to the formula:

[tex]p\pm z\sqrt{\frac{p(1-p)}{n} }[/tex]

z is the z-score at 95% confidence interval

p is the proportion

n is the sample size

Given the following parameters

p = 52/167 = 0.31

z = 1.96

n = 167

Substitute the given parameters into the formula to have:

[tex]CI=0.31 \pm 1.96\sqrt{\frac{0.31(1-0.31)}{167} } \\CI=0.31 \pm 1.96\sqrt{\frac{0.31(0.69)}{167} } \\CI=0.31 \pm 1.96(0.035)\\CI=0.31\pm 0.0701\\CI = (0.31-0.0701, 0.31+0.0701)\\CI=(0.234, 0.389)[/tex]

Hence a 95% confidence interval for the true percentage of individuals whose favorite animal is a dog is (23.4%, 38.9%)

Learn more on confidence interval here: https://brainly.com/question/17212516

How many places do you need to move the decimal to the left to write the number below in the scientific notation?

Answers

Answer:

10

Step-by-step explanation:

in scientific notation a number cant be greater than 10. so you have to move the decimal to make it under 10.

What is the decimal form of 92/125 !???

Answers

Answer:

0.736

Step-by-step explanation:

Answer:

0.736

Step-by-step explanation:

decimal form of 92/125

Zander and Chloe were comparing the number of texts they send. Zander has already sent 38 texts and says he sends 28 texts per day. Chloe has sent 52 texts already and says she send 26 texts a day. After __ days, Zander and Chloe will have sent the same amount of texts. A. 5 days B. 6 days C. 7 days D. 9 days

Answers

Answer:

(C) 7

Step-by-step explanation:

We can create an equation here.

We know that Zander has 38 texts. He sends 28 texts per day.

Let us represent x as the number of days.

This can be represented as an expression, [tex]38+28x[/tex].

Same logic for Chloe.

52 texts already, 26 texts per day: [tex]52+26x[/tex]

If their texts are equal, both expression are equivalent to each other.

[tex]38+28x = 52+26x[/tex]

We can simplify this equation to get x on one side of it.

Subtract 38 from both sides:

[tex]28x = 14+26x[/tex]

Subtract 26x from both sides:

[tex]2x =14[/tex]

Divide both sides by 2:

[tex]x = 7[/tex]

So, Chloe and Zander will have sent the same amount of texts after 7 days.

Hope this helped!

What is the coefficient of 9(14) P ?

Answers

Answer:

the answer of this question is

the coffiecent is p

the coefficient is P

Please see picture

What type(s) of symmetry does this figure have?

A. Both rotational and reflectional

B. This figure is not symmetrical.

C. Rotational

D. Reflectional

Answers

D. Reflectional because if you cut it in half, it would look like the other piece.

A chain weighs 9 pounds per foot. How many ounces will 5 inches weigh? Round your answer to the
nearest tenth as needed.

Answers

Answer:

60 ounces.

Step-by-step explanation:

A chain weighs 9 pounds per foot.

We are to find the number of ounces 5 inches weigh.

First we find how many feet are in 5 inches.

1 foot = 12 inches

how many feet? = 5 inches.

Cross-multiplying gives;

[tex]\frac{5}{12} * 1 = \frac{5}{12}[/tex]   feet

1 foot of the chain = 9 pounds

[tex]\frac{5}{12}[/tex] feet = how many pounds?

Cross-multiplying gives;

[tex]\frac{5}{12} * 9 = 3.75[/tex] pounds

1 pound = 16 ounces

3.75 pounds = how many ounces?

Cross-multiplying gives;

[tex]\frac{3.75 * 16}{1} = 60[/tex] ounces.

The number of ounces will 5 inches weigh is 66.667 oz.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

A chain weighs 9 pounds per foot.

We know that

1 foot = 12 inches.

1 pound = 16 ounces.

Now based on this,

= 5 inches 1/12 x foot/ inches x 10 x pound/ feet x 16

= 5 x 10 x 16 / 12

= 66.667 oz.

Hence, the chain weight 66.6667 oz.

Learn more about Unitary Method here:

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Find the product. (-10) • (-10) • (-10)

Answers

Answer:

-1000

Step-by-step explanation:

-10 times -10 makes 100 as negative cancel each other

100 times -10 make -1000

Answer:

-1000

Step-by-step explanation:

-(10x10x10)

-10^3

-1000

Anika was shown a reduction of a complex figure.

2 complex figures. Side A corresponds to a side with length 35 centimeters. Side B corresponds to a side with length 25 centimeters. A side with length 15 centimeters corresponds to a side with length 60 centimeters.
Figures not drawn to scale.

What can Anika conclude about the scale factor and missing measurements? Select three options.
The scale factor is 0.60.
The scale factor is 0.25.
The length of side A is 8.75 cm.
The length of side A is 21 cm.
The length of side B is 6.25 cm.

Answers

Answer:

Scale factor is .25.

Step-by-step explanation:

Side A is .25 times 35 which is 8.75. Side b is .25 (25)= 6.25

Answer:

B: The scale factor is 0.25.

C: The length of side A is 8.75 cm.

E: The length of side B is 6.25 cm.

Step-by-step explanation:

To find the answer of 8.75 in C multiply 35 x .25

To find E multiply 25 by .25.

And the scale factor is .25 becuase the original is 1/4 the new perimeter.

Hallie can use the equation p = 4l + 4w + 4h to determine the sum of the lengths of the edges of a rectangular prism. She begins to solve the equation for h but runs out of time. Her partial work is shown below:

Answers

Answer: ( L+W)

Step-by-step explanation:

You work at a coffee shop and they pay you $12.80 an hour. If you work 34
works this week, what is your straight-time pay?

A. $435.20
B. $438.80
C. $442.20
D. $444.60
E. $446.40
F. $448.20

Answers

Answer:

answer is A $435.20

Step-by-step explanation:

I guess I was help full for u

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Change 84 inches to feet

Answers

Is 7 I’m pretty sure
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