Three construction companies have bid for a job. Max knows that the two companies with which he is competing have probabilities 1/3 and 1/9, respectively, of getting the job. What is the probability that Max will get the job?

Answers

Answer 1

Answer:

0.5555 = 55.55% probability that Max will get the job.

Step-by-step explanation:

What is the probability that Max will get the job?

The sum of all probabilities is 100% = 1, so, considering Max's probability as x:

[tex]x + \frac{1}{3} + \frac{1}{9} = 1[/tex]

[tex]\frac{9x + 3 + 1}{9} = 1[/tex]

[tex]9x + 4 = 9[/tex]

[tex]9x = 5[/tex]

[tex]x = \frac{5}{9}[/tex]

[tex]x = 0.5555[/tex]

0.5555 = 55.55% probability that Max will get the job.

Answer 2

The max has probability of getting this job is x= 0.5555 and 55.55%

Suppose that ;

Max has probability of getting this job is = x

and other two companies have probability to get job is [tex]\frac{1}{3} or \frac{1}{9}[/tex].

Sum of the probability have bid a job is 100% which is equal to 1.

The sum of the probabilities in a probability distribution is always 1. A probability distribution is a collection of probabilities that defines the likelihood of observing all of the various outcomes of an event or experiment. Based on this definition, a probability distribution has two important properties that are always true:

According to given question ;

Sum of all the companies having probability to get the job = 1

[tex]x + \frac{1}{3} + \frac{1}{9} = 1[/tex]

[tex]\frac{9.x+1.3+1.1}{9} = 1\\9x+3+1 = 9.1\\9x+4 =9\\9x = 9-4\\9x = 5\\x = \frac{5}{9}[/tex]

x = 0.5555

The Max has probability of getting this job is x= 0.5555 or 55.55%

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Related Questions

What is the x-intercept of the graph of the function f(x) = x2 − 16x + 64?

(−8, 0)
(0, 8)
(8, 0)
(0, −8)

Answers

Answer:

(8,0)

Step-by-step explanation:

f(x) = x^2 − 16x + 64

The x intercepts ( or zeros) are found by setting y=0

0 =   x^2 − 16x + 64

Factor

0 = (x-8)(x-8)

Using the zero product property

x-8 =0  x-8 =0

x=8   x=8

(8,0)

Answer:

8,0

edge 20201

Please help me to find this answer

Answers

Step-by-step explanation:

angle of a triangle is 180, therefore to get the remaining one, subtract the sum of the two knows from 180, also for the second one; angle on a straight line is as well 180, since you have fine the interior one, subtract it from 180 to get the second answer

Answer:

so angles in a triangle add up to 180,

32+50+m<MQP=180

82+m<MQP=180

m<MQP=180-82

=98°

and angles on a straight line add up to 180 therefore

m<MQR=180-m<MQP

=180-98

=82

I hope this helps and if you don't understand feel free to ask

PLS HELP
Find an equation of the line with a y-intercept of -3 and an x-intercept of -4.5

Answers

Answer:

y = - [tex]\frac{2}{3}[/tex] x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, - 3) and (x₂, y₂ ) = (- 4.5, 0 ) ← coordinates of intercepts

m = [tex]\frac{0-(-3)}{-4.5-0}[/tex] = [tex]\frac{0+3}{-4.5-0}[/tex] = [tex]\frac{3}{-4.5}[/tex] = - [tex]\frac{2}{3}[/tex]

The line crosses the y- axis at (0, - 3 ) ⇒ c = - 3

y = - [tex]\frac{2}{3}[/tex] x - 3 ← equation of line

Find the missing segment in the image below

Answers

It should be 75c if I’m not mistaken

The volume of a rectangular prism (shown below) is 48x^3+56x^2+16x Answer the following questions:
(1) What are the dimensions of the prism?
(2) If x = 2, use the polynomial 48x^3+56x^2+16x to find the volume of the prism.
(3) If x = 2, use the factors found in part a to calculate each dimension.
(4) Using the dimensions found in part c, calculate the volume. Show all work.

Answers

Answer:

(a)

[tex]Length = 8x\\Width = 3x + 2\\Height = 2x + 1[/tex]

(b)

[tex]P(2) = 640[/tex]

(c)

[tex]Length= 16[/tex]

[tex]Width = 8[/tex]

[tex]Height =5[/tex]

(d)

[tex]Volume = 640[/tex]

Step-by-step explanation:

Given

[tex]P(x) = 48x^3 + 56x^2 + 16x[/tex]

Solving (a): The prism dimension

We have:

[tex]P(x) = 48x^3 + 56x^2 + 16x[/tex]

Factor out 8x

[tex]P(x) = 8x(6x^2 + 7x + 2)[/tex]

Expand 7x

[tex]P(x) = 8x(6x^2 + 4x + 3x + 2)[/tex]

Factorize

[tex]P(x) = 8x(2x(3x + 2) +1( 3x + 2))[/tex]

Factor out 3x + 2

[tex]P(x) = 8x(3x + 2)(2x + 1)[/tex]

So, the dimensions are:

[tex]Length = 8x\\Width = 3x + 2\\Height = 2x + 1[/tex]

Solving (b): The volume when [tex]x = 2[/tex]

We have:

[tex]P(x) = 48x^3 + 56x^2 + 16x[/tex]

[tex]P(2) = 48 * 2^3 + 56 * 2^2 + 16 * 2[/tex]

[tex]P(2) = 640[/tex]

Solving (c): The dimensions when [tex]x = 2[/tex]

We have:

[tex]Length = 8x\\Width = 3x + 2\\Height = 2x + 1[/tex]

Substitute 2 for x

[tex]Length=8*2[/tex]

[tex]Length= 16[/tex]

[tex]Width = 3*2+2[/tex]

[tex]Width = 8[/tex]

[tex]Height = 2*2 + 1[/tex]

[tex]Height =5[/tex]

So, we have:

[tex]Length= 16[/tex]

[tex]Width = 8[/tex]

[tex]Height =5[/tex]

Solving (d), the volume in (c)

We have:

[tex]Volume = Length * Width * Height[/tex]

[tex]Volume = 16 * 8 * 5[/tex]

[tex]Volume = 640[/tex]

Select the expression that has a value of 13.

9 + 3 x (2 ÷ 3) + 6
(9 + 3) x 2 ÷ 3 + 6
9 − (3 x 2) ÷ 3 + 6
(9 + 3 x 2) ÷ 3 + 6

Answers

Answer:

9 − (3 x 2) ÷ 3 + 6 is the answer

Segment addition and midpoints

Answers

N is the midpoint of MO and NO is 5, so MN would also be 5

MP = MN + NP = 5 + 9 = 14


Help.. what does Y=

Answers

Answer:

The answer is B. 3

Step-by-step explanation:

The right angle points at side C which is the biggest side of a triangle and the smallest side is half of what side C is which is 3

Answer: B.3

Explanation: calculator.net, triangle calculator !

How many times greater is
6.6 x 10^10
than
3 x 10^7
2.2
22
1000
2200

Answers

Answer:

2,200

Step-by-step explanation:

6.6 x 10^10

= 66,000,000,000

3 x 10^7

= 30,000,000

66,000,000,000 ÷ 30,000,000

2,200

Answer:

2200.

Step-by-step explanation:

6.6 / 3  *  10^10/10^7

= 2.2 * 10^3

= 2200

Prove that: sec⁴B - sec²B = tan⁴B + tan²B.​

Answers

Step-by-step explanation:

sec⁴B - sec²B = sec²B(sec²B - 1)

= (1 + tan²B)(tan²B)

= tan⁴B + tan²B

= Right-hand side (Proven)

21. SCALE FACTOR A regular nonagon has an area of 90 square feet. A similar
nonagon has an area of 25 square feet. What is the ratio of the perimeters of
the first nonagon to the second?

Answers

Answer:

The ratio of the perimeters of the first nonagon to the second is 3.6 to 1.

Step-by-step explanation:

Given that a regular nonagon has an area of 90 square feet, and a similar nonagon has an area of 25 square feet, to determine what is the ratio of the perimeters of the first nonagon to the second, the following calculation must be performed:

25 = 1

90 = X

90/25 = X

3.6 = X

Therefore, the ratio of the perimeters of the first nonagon to the second is 3.6 to 1.

Complete the table using the equation w = m + 4

Answers

Answer:

5+4 = 9

6+4 = 10

7+4 =11

Step-by-step explanation:

Answer:

(5,9)

(6,10)

(7,11)

Step-by-step explanation:

w = m + 4

when m = 5,

w = 5 + 4 = 9

when m = 6

w = 6 + 4 = 10

when m = 7

w = 7 + 4 = 11

Define mean and median for a set of data

Answers

Answer:

The mean is the average number of a data set gotten by adding all the numbers then dividing by two.

the median is the middle number in a sorted set of data,either sorted in ascending order or descending order.

I hope this helps

To calculate mean:

• add up all the numbers,

• then divide by how many numbers there are.

Example:

Data: 5, 6, 10, 1

Add these all together, which is 22, then divide by 4 (because that is how many numbers there are), so:

the mean is 5.5

To calculate median:

Arrange your numbers in order.

Cross off numbers until you get to the middle.

If there is an even number of data, then find the two in the middle and find the middle of that.

Example:

Data: 5, 6, 10, 1

Arrange: 1, 5, 6, 10

So, the middle 2 are 5 and 6. In between these would be 5.5, so that is the median.

If the data was: 1, 5, 6, 8, 10,

then the median would be 6.

what should be added to 780629 so that the sum is exactly divisible by 493?​

Answers

Answer:

283

Step-by-step explanation:

Given problem is based on divisibilityy,

 = 780629/493

quotient = 1583

remainder = 210

So,Add 283 with remainder (210) to get 493

= 283+210

= 493

There for 283 should be added to 780629 so that the sum is exactly divisible by 493

The problem has come from division .

First divide them

[tex]\\ \sf\longmapsto \dfrac{480629}{493}[/tex]

[tex]\\ \sf\longmapsto Remainder=210[/tex]

[tex]\\ \sf\longmapsto Quiotent=1583[/tex]

Now We have to add x to the remainder by which it will be 493

[tex]\\ \sf\longmapsto x+210=493[/tex]

[tex]\\ \sf\longmapsto x=493-210[/tex]

[tex]\\ \sf\longmapsto x=283[/tex]

simplify 27-{ 9+(12-5)÷4} with solution​

Answers

Answer:

16.25

Step-by-step explanation:

first do 12 -5 = 7. then 7/4 = 1.75 then 9+1.75 = 10.75 and finally 27-10.75= 16.25

This is how you do it

Simplify Square root (150n^2)

Answers

Answer:

12

Step-by-step explanation:

Hi! I'd appreciate if you could help me on this question.

Liam is buying bottles of soda in packages that contain 8 bottles each. If the total number of sodas Liam bough t was between 45 and 50, how many did he buy? Explain your answer.

Answers

Answer:

48

Step-by-step explanation:

We need to find the multiples of 8

8,16,24,32,40,48

48 is between 45 and 50 so he must have bought 48

Answer:

6 bottles

Step-by-step explanation:

For this question we need to know the multiple of 8 which are:

8 x 1 = 8

8 x 2 = 16

8 x 3 = 24

8 x 4 = 32

8 x 5 = 40

8 x 6 = 48

8 x 7 = 56

There is only one multiple, which is greater than 45 but less than 50, which is 8x6 l.

This means he bought 6 bottles.

Answered by g a u t h m a t h

What is the length of the line?

Answers

The length of the line is B

Find the value of x.
A. 57
B. 72
C. 90
D. 124

Answers

Answer:

90

Step-by-step explanation:

Angle Formed by Two Chords= 1/2(SUM of Intercepted Arcs)

105 = 1/2 (120+x)

210 = 120+x

Subtract 120 from each side

210-120 = x

90 =x

The value of  Intercepted Arcs x will be 90. so option C is correct.

What is the relation between line perpendicular to chord from the center of circle?

If the considered circle has center O and chord AB, then if there is perpendicular from O to AB at point C, then that point C is bisecting(dividing in two equal parts) the line segment AB.

Or

|AC| = |CB|

Angle Formed by Two Chords= 1/2 (Sum of Intercepted Arcs)

105 = 1/2 (120+x)

210 = 120+x

Subtract 120 from each side;

210-120 = x

90 =x

Hence, the value of  Intercepted Arcs x will be 90. so option C is correct.

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A number has ........... number of factors but ........... number of multiple. ​

Answers

A number has fixed number of factors but infinite number of multiples

Ex:-

Take a number 12

It has factors 1,2,3,4,6,12

It is fixed.

But

It has multiples 12,24,36,48,60...

It is infinite

If 40 men working on a U.S. government project can complete the job in 100 hours, how many men would be required to complete the job in 80 hours?

Answers

Answer:50

Step-by-step explanation:(40x100):80

Answer: 50 workers

Let the ratio be

(40×100):80

= 400/80

= 50

Therefore 50 workers will complete the same work in 80 hours.

Must click thanks and mark brainliest

2. Write the equation of the line in point-slope form.
(-1,3) and (2,9)

Answers

Answer:

y - 9 = 2 (x - 2)

Step-by-step explanation:

y2 - y1 / x2 - x1      9 - 3 / 2 - (-1)      6/3    = 2

y - 9 = 2 (x - 2)

Find the standard deviation for the following group of data items.
9, 11, 11, 16

Answers

The standard deviation for the given data items is 2.6

The standard deviation of the given data items can be calculated by taking the square root of the variance.

Variance is a measure of variability and it is calculated by taking the average of squared deviations from the mean.

Hence, we will first determine the mean of the given data items.

Mean is simply the average of the numbers.

Therefore mean of the given data items is

[tex]Mean = \frac{9+11+11+16}{4}[/tex]

[tex]Mean = \frac{47}{4}[/tex]

Mean = 11.75

Now, for the variance of the data

[tex]Variance = \frac{(9-11.75)^{2}+(11-11.75)^{2}+(11-11.75)^{2}+(16-11.75)^{2} }{4}[/tex]

[tex]Variance = \frac{(-2.75)^{2}+(-0.75)^{2}+(-0.75)^{2}+(4.25)^{2} }{4}[/tex]

[tex]Variance = \frac{7.5625+0.5625+0.5625+18.0625}{4}[/tex]

[tex]Variance = \frac{26.75}{4}\\[/tex]

∴ Variance = 6.6875

But,

Standard deviation [tex]= \sqrt{Varinace}[/tex]

∴Standard deviation  [tex]=\sqrt{6.6875}[/tex]

Standard deviation = 2.586

Standard deviation ≅ 2.6

Hence, the standard deviation for the given data items is 2.6

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If you get a raise from $12 per hour to $15 per hour, what is the percent change?

Answers

Answer:

25%

Step-by-step explanation:

Formula to calculate the percent change :-

Change in distance from $12 per hour to $15 per hours = 15-12=3 per hour

Previous value = $12 per hour

Now, the percent change will be :_

Hence,  the percent change for  from $12 per hour to $15 per hour= 25%

(I copied this answer from JeanaShupp from question-11653373 [no links])

A random number generator is used to create a list of 300 single digit numbers

Answers

What are we trying to find?

?
What is the equation of a parabola whose focus is (-4, -1)
and whose directrix is
y = -5?

y = + x – 1
8
o
y = -

--X+1
8
y?
x =
+ у - 1
8
y2
X = -
8 Y+1

Answers

Answer:

1st option,

y = x²/8 + x - 1

Answered by GAUTHMATH

What is the range of the function f(x) = 3x + 2 overthe interval -6 < x < 5?

Answers

Answer:

(-16, 17)

Step-by-step explanation:

The range of the function will be (-16, 17)

The range of function f(x) = 3x + 2 overthe interval -6 < x < 5 is (-13,14)

What is Range?

The difference between the highest and lowest values.

The given function is  f(x) = 3x + 2

f(x) equal tp three times of x plus two.

The given interval is minus six less than x less than five.

-6 < x < 5

Which means the x values are -5, -4, -3, -2, -1, 0, 1, 2,3,4

Plus in the function

f(-5)=-15+2=-13

f(-4)=-10

f(-3)=-9+2=-7

f(-2)=-6+2=-4

f(-1)=-3+2=-1

f(0)=0+2=2

f(1)=3+2=5

f(2)=6+2=8

f(3)=9+2=11

f(4)=12+2=14

Hence the range of function f(x) = 3x + 2 overthe interval -6 < x < 5 is (-13,14)

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I need help with C,D,E,F,G thank you

Answers

Answer:

D = 120 Degrees ,  E : x = 14 , F: <JHK = 21, G: Summplementary Angle is 96 Degrees

Step-by-step explanation:

4X+2X = 180

6X=180

X=30

<ABD = 4X = 4(30) = 120

D= 120 degrees
If I am correct

18. The maintenance department ordered $3,450 worth of supplies from a valve and fitting supplier. The
supplier will allow a 15% discount because of the large order. How much will the maintenance department
have to pay for the supplies?
A. $2,932.50
B. $3,398.25
C. $3,406.45
D. $2,954.50

Answers

Answer:

A) [tex]\$\ 2932.5[/tex]

Step-by-step explanation:

One is given that a certain amount of money was allotted to be spent on supplies. However, there was a discount applied to the purchase. One is asked to find the amount of money actually spent on the supplies.

$3450 was the initial price that was to be spent on supplies, however, a (15%) discount was applied to this price. Subtract (15) from (100) to find the percent value that was actually spent on supplies.

[tex]100-15=85[/tex]

(85%) of the allotted money was actually spent on supplies. Now one has to find out the numerical value of the amount spent. Divide (85) by (100) and then multiply it by the amount of money allotted to the purchase, to fin the amount actually spent on the purchase.

[tex]3450*(\frac{85}{100})\\\\=3450*0.85\\\\=2932.5[/tex]

Help me please and thank you

Answers

Step-by-step explanation:

jlejej

are u using chrome os

Log 1 with whatever base (except 0) is 0 for any number (except 0) raised to 0th power is 1. And 0 times anything is 0. Answer should be B.
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