An accounting firm has recently recruited six graduates: three men and three women. Three of the graduates are to be selected at random to work in the firm’s suburban office. Construct the probability tree. What is the probability that at least two women will be selected? Round your answer to three decimal places.

Answers

Answer 1

Answer:

a) The probability tree is constructed below

b) the probability that at least two women will be selected is 0.500

Step-by-step explanation:

Given the data in the question;

a) The probability tree is as follows;

                                                 3 men, 3 women

                                                            ↓

           _______________________|________________________

            ↓                             ↓                                  ↓                               ↓

         3 men                    2 men                          1 man                        0 men

      0 women                1 woman                     2 woman                   3 women

b) the probability that at least two women will be selected

p( at least two women would be selected) = P( there are 2 women out of 3 ) + P( there 3 women out of 3

so

p( at least two women would be selected) = C

³C₂ × ³C₁ / ⁶C₃ + ³C₃³C₀ / ⁶C₃  

= 3!/(2!(3-2)!) × 3!/(1!(3-1)!)  / 6!/(3!(6-3)!) + 3!/(3!(3-3)!) × 3!/(0!(3-0)!) / 6!/3!(6-3)!)

= 3 × 3 / 20 + 1 ×  1 / 20

= 9/20 + 1/20

= 0.45 + 0.05

p( at least two women would be selected) = 0.500

Therefore, the probability that at least two women will be selected is 0.500


Related Questions

round up 6,614,980 to hundreds​

Answers

well just look at the tens digit and see if it is bigger or smaller than 5, in this case 8>5

so the answer is 6,615,000, it is 000 because 9+1 became a 10

Rick earned 36 extra credit points. Cindy earned e fewer extra credit points than Rick. Write
an expression that shows how many extra credit points Cindy earned.
PLEASE ANSWER

Answers

Answer:

36-e

Step-by-step explanation:

-

Kirsten has to walk 2 3/4km to school. How far has she walked when she halfway? Give your answer in metres.

Answers

Answer:

375 m

Step-by-step explanation:

[tex] \frac{3}{4} \times 1000 = 750[/tex]

From halfway

[tex] \frac{750}{2} = 375[/tex]

Follow me and text me if you need anything in math.

i neeed help asap please

Answers

Answer:

last option.

linear pair

.............

Find the average rate of change

Answers

Replace x with 1 nd solve, then replace x with 3 and solve:

x^3 - 2x^2 +3x

When x = 1:  1^3 -2(1)^2 +3(1) = 3 -3 +3 = 3

When x = 3: 3^3 -2(3)^2 + 3(3) = 27 -18 +9 = 18

The difference between the two solutions is 18-3 = 15

The difference between the two x values = 3-1 = 2

The rate of change is 15/2  or 7.5 as a decimal.

find the measure of the missing angle​

Answers

Answer:

50

Step-by-step explanation:

40 plus 90 equals 130 and triangle must be 180 so we need 50 degree

50°

Let x be the missing angle.

90°(right angle) + 40°(given) + x = 180° ( the sum of degrees of interior angles of triangle)

x = 180°-130°

x = 50°

These are 2 questions please help me​

Answers

Answer:

Step-by-step explanation:23

En un paralelogramo de tiene ?

Answers

Answer:

Elementos y propiedades del paralelogramo

Lados: el paralelogramo tiene cuatro lados, siendo iguales y paralelos dos a dos (a y b). Ángulos: los ángulos interiores son iguales dos a dos, siendo iguales los ángulos no consecutivos (α y β). Como en todo cuadrilátero, sus ángulos interiores suman 360° (2α + 2β = 360°)

Step-by-step explanation:

Elements and properties of the parallelogram

Sides: the parallelogram has four sides, two by two (a and b) being equal and parallel. Angles: the interior angles are equal two by two, the non-consecutive angles (α and β) being equal. As in any quadrilateral, its interior angles add up to 360 ° (2α + 2β = 360 °) (English version lol)

Which expression is equivalent to -32^3/5?

Answers

Answer:

the first one

Step-by-step explanation:

Find the value of x for which L parallel m (3x-33) (2x+26)

Answers

Answer:

59

Step-by-step explanation:

Find the diagram attached

From the diagram, we can see that both given angles are vertically opposite angles, hence they are equal

3x - 33 = 2x+26

3x-2x = 26 + 33

x = 59

Hence the value of x is 59

Order this set of numbers from greatest to least. Then explain the order, referring to the number line in your explanation,

-1.79, 2 1/4, 2.54,-4


Answers

2.54, 2 1/4, -1.79, -4

write the number 31 in tens and ones. 2 tens ? Ones​

Answers

Answer:

you could do 3 tens and 1 ones or 2 tens and 11 ones

Step-by-step explanation:

hope this helps!

The length is 8 1/3 yd the width is 6 3/4 yd what is the area

Answers

Answer:

56 and 1/4 square yds

Step-by-step explanation:

A cookie factory uses 1/3 of a bag of flour in each batch of cookies. The factory used 2/3 of a bag of flour yesterday. How many batches of cookies did the factory make?

Please Help

Answers

Answer:

They made 2 batches

Step-by-step explanation:

If the factory used ⅔, and 1 batch is ⅓, the factory made 1 batch for each 3rd they used. ⅔, 2 batches

GEOMETRY HELP ME

Find the measures of all the angles listed and if the lines are parallel explain why?

Answers

Answer:

x= 110°

Step-by-step explanation:

if you continue drawing the top purple line you will have a triangle with three angles

70° ; is given

180-140= 40°; is the same angle as the supplement angle of 140° (complementary angles are congruent)

180-70-40 = 70°; because sum of angles in a triangle is 180°

So angle x= 180 -70 = 110 because are a linear pair

Answer:

110 deg

Step-by-step explanation:

The supplement of the 140 deg angle measures 40 deg.

Draw a line through the vertex where angle x is that is parallel to the other two lines. That line splits angle x into two angles, an upper angle and a lower angle.

By alternate interior angles, the lower angle that is part of angle x measures 70 deg. Also by alternate interior angles, the upper angle that is part of angle x  measures 40 deg.

x = 70 + 40 = 110

Answer: 110 deg

Mika rides his bike 3 miles each way to his friend's house. He leaves his house at 4 p.m. How many miles does he ride his bike there and back? What information is extra?

Answers

Answer: Mika rides his bike for 6 miles to his friend's house and back. The extra information is when the problem says "He leaves his house at 4 p.m." since we are talking about distance, not time.

Step-by-step explanation:

True or false: is x=4 a solution to |x+5| =-9?. Explain

Answers

Answer:

No

Step-by-step explanation:

if u subsitute x for 4, 4+5 would equal positive 9.

the options are
A. 1 B. -1 C. 1 D. 1

Answers

I think it is -1 as the answer.

Find the equation of the line passing through the points (-2,8) and (8,- 7). Write the equation in
slope-intercept form.

Answers

Answer:

Step-by-step explanation:

[tex]y=mx+b\\ \\ m=\frac{-7-8}{8-\ -2}=\frac{-15}{10}=\ -\frac{3}{2}\\ \\ y=\ -\frac{3x}{2}+b,\ (-2,8)\\ \\ 8=\ -\frac{3(-2)}{2}+b\\ \\ 8=3+b,\ b=5\\ \\ y=\frac{10-3x}{2}[/tex]

Answer:   y  = - 3/2x + 5

Step-by-step explanation:

To write the equation in slope intercept form, you will have to find the slope and the y-intercept.

(-2,8) (8,-7)  

To find the slope using these points, you will find the difference in the y coordinates and divide it by the difference in the x coordinates.

-7 - 8 = - 15

8 - (-2) = 10

   Slope:   -15/10   =  -3/2  

The slope is  -3/2

Now using the formula y=mx+b  , use one of the given points and the slope to solve for b , which is the y-intercept.

     8  = -3/2(-2) + b

    8 = 3 + b

   -3     -3

    b = 5

Solve x + 2∕5 = 1∕3 for x.
Question 15 options:

A)

x = –11∕15

B)

x = 1∕15

C)

x = 11∕15

D)

x = –1∕15

Answers

Answer:

D

Step-by-step explanation:

x + 2/5 = 1/3

x = 1/3 - 2/5

x = -1/15

Answer:

-1/15

Step-by-step explanation:

May someone please help me out with this? Look at the image above. How do I do this? May someone help me out please

Answers

Answer:

u = 9

Step-by-step explanation:

angle c and a are congruent so take the 2 angles and turn them into an equation

u + 99 = 12u

subtract 1u from both sides, you're left with 99 = 11u

now, divide each side by 11

now you'll get the value of u which is 9 (u = 9)

since 99/11 is 9 that's the value of u.

y=3x +4
How do you graph this

Answers

Answer:

Step-by-step explanation:

you can use desmos to see the graph

but 4 is the y intercept, so that means you can start from the point (0, 4). then, to draw the rest of the line,  you would go up 3 and right 1 because the slope is 3 or 3/1

Acellus
A bag contains 10 marbles. Four of
them are red, three blue, two white,
and one yellow. A marble is drawn at
random. What is the probability that it
is blue?

Answers

Answer:

3/10

Step-by-step explanation:

Answer:

[tex]\frac{3}{10}[/tex]

Step-by-step explanation:

the bag contains 10 marbles in total

the problem tells us that the bag contains 3 blue marbles

the probablity that a blue marble is drawn is 3/10


PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

Answer:

y = -x

Step-by-step explanation:

Let the equation representing the table attached is,

y = mx + b

Here, m = Slope of the line

b = y-intercept

Since, slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

From the table attached,

Slope of the line passing through (23, -23) and (33, -33),

m = [tex]\frac{-33+23}{33-23}[/tex]

m = -1

Equation of the line will be,

y = -x + b

Since, this line passes through another point (43, -43),

-43 = -43 + b

b = 0

Therefore, equation of the line representing the table will be,

y = -x  

An automobile manufacturer claims that its car has a 57.7 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this car since it is believed that the car has an incorrect manufacturer's MPG rating. After testing 210 cars, they found a mean MPG of 57.4. Assume the standard deviation is known to be 1.9. A level of significance of 0.1 will be used. Find the value of the test statistic. Round your answer to 2 decimal places.

Answers

Answer:

The value of test statistic

   |Z| = |-2.2883| = 2.2883

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 57.7miles/gallon

The standard deviation of the Population = 1.9

The mean of sample x⁻ = 57.4

Given that the sample size 'n' =210

level of significance = 0.1

Step(ii):-

Test statistic

        [tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]

       [tex]Z = \frac{57.4-57.7}{\frac{1.9}{\sqrt{210} } }[/tex]

      Z = -2.2883

  |Z| = |-2.2883| = 2.2883

Final answer:-

The value of test statistic

   |Z|  = 2.2883

Work out the length of EF

Answers

Answer:

EF=2 cm

Step-by-step explanation:

Answer:

EF = 2 cm

Step-by-step explanation:

HK = HG + GK

10 = 4 + GK

GK = 10 - 4

GK = 6 cm

or

KG = 6cm

[tex] \triangle EGH \cong\triangle KGF... (given) [/tex]

[tex]\because EG\cong KG.. (cpct) [/tex]

[tex]\therefore EG = 6 cm [/tex]

[tex]\because FG\cong HG.. (cpct) [/tex]

[tex]\therefore FG = 4 cm [/tex]

EF = EG - FG (E-F-G)

EF = 6 - 4

EF = 2 cm

what is the measure that is complementary to an 20 degree angle

Answers

I think it would be a 70 degree angle since a 90 degree is a right angle and subtracting from the 20 it would 70 so yep if this is wrong I am sorry.

Which of the following represents an equation of a line parallel to one whose equation is 2x + 8x = 18

Answers

Answer:

y=-4x+3

Step-by-step explanation:

it does not show the equations that are following

but the main thing you need to know is that when two lines are parallel they have the same slope

and do you mean 2x+8y=18 not x?

edit:

answer choices: y=-4x+3, y=8x-2, y=4x+7, y=-8x+9

2y+8x=18

first change that equation to slope intercept form to find the slope

2y = -8x+18 -> y = -4x+9

slope is -4

so the answer is y=-4x+3 because it also has a slope of -4

Six more than the quotient of a number squared and eleven

Answers

Answer:

Step-by-step explanation:

[tex]\frac{n^2}{11}+6[/tex]

solve

2. y+0.4=2

what is y?​

Answers

The answer is,

[tex]y = 1.6[/tex]

Answer:

Y = 1.6

Step-by-step explanation:

Y = 2 - 0.4

Y = 1.6

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