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%

For the more information about probability click the link given below

https://brainly.com/question/14210034


Related Questions

Casey borrowed $4500 at a 5% interest rate for 4 years.
What was the total interest?
Enter your answer in the box.
Hint: Use the formula l=P*R*T where
I= Interest Earned/Owed
P= Principal
R= Rate
T= Time

Answers

Answer:

  $900

Step-by-step explanation:

Put the numbers in the formula and do the arithmetic.

  I = PRT

  I = ($4500)(0.05)(4) = $900

The total interest was $900.

[tex]\large\tt\green{Answer}[/tex]

The total interest was $900

[tex]\large\tt\green{Step-by-step \: explanation}[/tex]

Step 1:

Put the numbers in the formula and do the arithmetic.

I = P × R × TI = $4500 × 5% × 4

Step 2:

Rename 5% into decimal

I = P × R × TI = $4500 × 0.05 × 4

Step 3:

Solve the problem with the full solution.

I = P × R × TI = $4500 × 5% × 4I = $4500 × 0.05 × 4I = $ 900

Therefore, the total interest was $900

Use the distributive property to simplify this expression -2x(3x + x-5)

Answers

Answer:

− 8 x ^2  +  10 x

Step-by-step explanation:

-6x-2x+10x
8x+10x
18x.

A total of 180 students and 35 chaperones are going on a field trip to the Smithsonian Institution in Washington, D. C.

Write the ratio in simplest form.


the ratio of students to people on the trip ​

Answers

Answer:

36 : 43

Step-by-step explanation:

So, we have 180 : 35 + 180 in the students to people on the trip180 : 21536 : 43Therefore, the ratio of students to people is 36 : 43

How to graph the table

Answers

could you please take the picture at a better angle

1) Solve 3x 8-6. Graph the solution.
A)
B)
C)
D)

Answers

Answer: negative 2 arrow to the left

Step-by-step explanation:

Can someone help me please

Answers

Answer:

31.25

Step-by-step explanation:

Divide 250 by 8=31.25

Which of the following best describes
the slope of the line below?
• A. Positive
• B. Negative
• C. Undefined
D. Zero

Answers

Answer:

A. Positive I'm sorry if I got this wrong answer

Answer:

Please add the picture

Step-by-step explanation:

If it point upward right: positive

if it point downward: negative

If it is just a horizontal line : zero

You use a garden hose to fill a wading pool. If the water level rises 16 centimeters every 7 minutes
and you record the data point of (21,y), what is the value of y? Use slope to justify your answer.



The rate of change at which the water level rises is ____ centimeters per minute. So solving the equation ____ for y gives a y-value equal to ____

Answers

Rise=16, run=7. Slope is rise/run, and therefore is 16/7. The run is considered to be the x coordinate. Since the x coordinate on the point is 21, we know it has moved 3 exact points away from the origin (21/7=3). We can use this movement of 3 exact points to determine the y coordinate as well. Since the rise (y) is 16 for every exact point on a graph, we know the graph has risen 48 units (16x3=48). So, the point ends up being (21,48). The rate of change is 16cm per 7 minutes, or 2.28cm/minute. The equation is Y=(16/7)X (no y intercept because the graph starts at the origin). The equation gives you the y value of 48 when x is equal to 21.

Kripa’s father is 35 years younger than her grandfather, and 40 years older than her. If the sum of the ages of the three is 160 years, let’s find her grandfather’s age?

Answers

Answer:

90 years

Step-by-step explanation:

if Kripa's age = x

Father's age = x + 40

Grandfather's age = (x + 40) + 35 = x + 75 (father is 35 years younger than grandfather i.e. grandfather is 35 years older than father)

x + x + 40 + x + 75 = 160

=> 3x = 160 - 115

=> x = 45/3 = 15

grandfather's age = x + 75 = 90 years

Answer:

90 years

Step-by-step explanation:

x + x + 40 + x + 75 = 160

=> 3x = 160 - 115

=> x = 45/3 = 15

Grandfather's age = x + 75 = 90 years

which of the following represents an arithmetic sequence with a common difference of -8.5?​

Answers

Answer:

C

Step-by-step explanation:

to have a common difference of -8.5, the sequence has to consistently go down by 8.5.

in the first one, y would go up by 2 every time x goes up by 1, so its not that one.

in the second one, it does go down by 8.5 the first time but the next time it goes down by 4.25, so it's not consistent.

in the third one, each time it goes down by 8.5 so this is the answer.

the fourth one also isn't correct because the graph shows that it is going up, so you know for sure it's not that one.

Hi, I'm going to be starting homeschooling most likely from 7th to 12th Grade mainly due to my Public School failing me miserably and C0vid. I was curious if anyone could recommend me any home-schooling programs? All I'm looking for in a home-school is one that's easy in math or one that potentially has a lot of multiple-choice questions as obviously i will be using this website a lot to help me get through the stuff i don't exactly fully understand. All replies are GREATLY appreciated, Thank you so much.

Answers

Answer:

I use connexus :)

Step-by-step explanation:

Hi this isn’t a home schooling program however khan academy was incredibly helpful for math and science for me! They have videos as well as little multiple choice problems to follow!

5.4-0.25 I'm so confused

Answers

Answer:

5.15

Step-by-step explanation:

Answer:

5.15

Step-by-step explanation:

5.4 = 5.40

 5.40

- 0.25

= 5.15

because 0.40 - 0.25 = 0.15

HELPPP FAST LIKE 4 minutes left

Answers

Answer: A. 40

Step-by-step explanation:

Help with this polynomial problem.​

Answers

Answer:

i cannt see it

Step-by-step explanation:

3.
Billy and Karen are playing a billy and Karen are playing a game. They toss a coin that can land either heads or tails and a
spinner that can land on any of 8 equal regions. If a coin is tossed and the spinner is spun,

howmany possible outcomes are there?

Answers

The number of possible outcomes for both Billy and Karen = 32 possible outcomes.

A coin has head and tail and thus;

Number of possible outcomes of a coin toss = 2

Now, for the for the spinner, since there are 8 equal regions;

The number of possible outcomes of the spinner = 8

Now, since they are playing a game;

Number of possible outcomes for Billy for one toss of coin and one time of spinning the spinner = 8 × 2 = 16

Similarly;

Number of possible outcomes for Karen for one toss of coin and one time of spinning the spinner = 8 × 2 = 16

Therefore;

Total possible outcomes for both Karen and Billy = 16 + 16 = 32 possible outcomes.

Read more about probability at; https://brainly.com/question/21186493

Two pieces of equipment were purchased for a total of $5000. If one piece cost $410 more than the other, find the price of the less expensive piece of equipment

Answers

Answer:

correct answer explained above

You plant 9 rows of different bulbs in a garden. For each row, you use the rule, “onion, onion, garlic, flower.” How many garlic and flower bulbs do you plant altogether? How many bulbs do you use in all?

Answers

Answer:

18; 36

Step-by-step explanation:

If there's 9 rows of "onion, onion, garlic, flower", then you repeat this cycle 9 times.

onion, onion, garlic, flower(1)

onion, onion, garlic, flower(2)

onion, onion, garlic, flower(3)

onion, onion, garlic, flower(4)

onion, onion, garlic, flower(5)

onion, onion, garlic, flower(6)

onion, onion, garlic, flower(7)

onion, onion, garlic, flower(8)

onion, onion, garlic, flower(9)

Add up the garlic and flower bulbs, which equals 18. Then add up all of the bulbs, which is 36.

-hope it helps

satellite makes 4 revolutions of the earth in one day. How many revolutions would it make in 6 1/2 days?

Answers

4 x 6.5 = 26 revolutions

The graph show how many minutes it takes Ziah to run a certain distance in the city What is the constant of proportionality? Write your answer as a decimal

need answer in 5 minutes will give brainliest​

Answers

Answer:  1.5

Explanation:

The constant of proportionality is the same as the slope for equations of the form y = kx.

To find the value of k, we divide the y over x values.

k = y/x = 12/8 = 1.5

or

k = y/x = 6/4 = 1.5

Either way the answer is 1.5

This means Ziah ran at a rate of 1.5 city blocks per minute.

Help pls , I’m lost

Answers

i think maybe 2,7 Sorry if i’m wrong

Sally was standing 30 feet from a tree.The angle of elevation from her eyes(standing 4 feet above the ground) to the top of the tree was 38. How tall is the tree? Round your answer to the nearest foot

Answers

Answer:

27ft-long

Step-by-step explanation:

good luck!!!

find the equation of a circle (3,2) (1,4)

Answers

Answer:

y = −x + 5

Explanation:

Use the slope formula and slope-intercept form y = mx + b to find the equation.

Hope this helped. Have a good one!

WILL GIVE BRAINLIEST!!!!

Answers

Answer:

$319

Step-by-step explanation:

Usually, sales tax is proportional to the amount of the sale, so if the sales tax is a factor of 22/16 times the original tax, then the sale amount must be 22/16 times the original item cost:

 (22/16)·$232 = $319

The length of a man's shadow is directly proportional with his height.
At the same time of day, a man who is 1.8 meters tall casts a 25.2
meter shadow and his son casts a 21 meter shadow. What is the
height of the man's son, in meters? If necessary, round to the nearest
tenth.

Answers

Answer:

The man's son height is 1.5m

Step-by-step explanation:

[tex]\frac{x}{21} =\frac{1.8}{25.2}[/tex]

[tex]\frac{21x1.8}{25.2}[/tex]

21x1.8= 37.8

37.8 ÷ 25.2= 1.5

Hope this helps

sorry if i got it wrong

Gemma and Leah are both jewelry makers, Gemma made 106 beaded necklaces. Leah
made 39 more necklaces than Gemma.
Each necklace they make has exactly 104 beads on it. How many beads did both
Jewelers use altogether while making their necklaces? How many necklaces did Gemma and Leah each make

Answers

Answer:

Gemma made $34 more than Leah.

Step-by-step explanation:

Gemma made number of beaded necklaces = 106

Leah made 39 more necklaces than Gemma.

Leah made number of beaded necklaces  = 106 + 39 = 145

a. There are 104 beads on each necklace.

The total number of beads used altogether

= (106 × 104) + (145 × 104)

= 11,024 + 15,080

= 26,104

b. Gemma sold her 106 necklaces for = $14

Total price of her necklaces = 106 × 14

                                              = $1,484

Leah sold her 145 necklaces for = $10

Total price of her necklaces = 145 × 10

                                              = $1,450

Difference in Gemma and Leah's amount = 1484 - 1450 = $34.00

Therefore, Gemma made $34.00 more money than Leah.

emma is finding 7/2 x 2/5

Answers

Answer:

14/10

OR

7/5

Step-by-step explanation:

(7*2)/(2*5) = 14/10

(14/2) / (10/2) = 7/5

Answer:

Mixed fraction: 1 2/5

Decimal form: 1.4

Hope this helps :)

Please help! I need help with this question.

Answers

Answer:

check online for more information

7 1/4 -3 3/4= 4 1 /4 - 3/4

Answers

Answer:

7/2

Step-by-step explanation:

What is 1 + 1 I need to know.

Answers

Answer:

2

Step-by-step explanation:

please mark my answer in brainlist

Answer:

2

Step-by-step explanation:

1+1=2

whats the answer to 3 1/2 divided by 2 1/4

Answers

Answer:

1.556

Step-by-step explanation:

Divide

3 and 1 over 23

1

2

÷ 2 and 1 over 42

1

4

= 28 over 18

28

18

Step 1 of 2: Divide, sub-step a: Convert mixed number to improper fraction.

Convert mixed number to improper fraction

3 and 1 over 23

1

2

= ( 3 × 2 ) over 2

3 × 2

2

+ 1 over 2

1

2

= ( 6 + 1 ) over 2

6 + 1

2

= 7 over 2

7

2

Step 1 of 2: Divide, sub-step b: Convert mixed number to improper fraction.

Convert mixed number to improper fraction

2 and 1 over 42

1

4

= ( 2 × 4 ) over 4

2 × 4

4

+ 1 over 4

1

4

= ( 8 + 1 ) over 4

8 + 1

4

= 9 over 4

9

4

Step 1 of 2: Divide, sub-step c: Divide.

Divide

7 over 2

7

2

÷ 9 over 4

9

4

= 7 over 2

7

2

× 4 over 9

4

9

= ( 7 × 4 ) over ( 2 × 9 )

7 × 4

2 × 9

= 28 over 18

28

18

To divide fractions, invert the second one (turn it upside-down), then multiply the numerators and denominators.

Step 1 of 2: Divide.Hide

Step 2 of 2: Simplify.

Simplify

28 over 18

28

18

= 14 over 9

14

9

= 1 and 5 over 91

5

9

Step 2 of 2: Simplify, sub-step a: Reduce fraction to lowest terms.

Reduce fraction to lowest terms

28 over 18

28

18

= ( 28 ÷ 2 ) over ( 18 ÷ 2 )

28 ÷ 2

18 ÷ 2

= 14 over 9

14

9

2 is the greatest common divisor of 28 and 18. Reduce by dividing both numerator and denominator by 2.

Step 2 of 2: Simplify, sub-step b: Convert improper fraction to mixed number.

Convert improper fraction to mixed number

14 over 9

14

9

= 1 and 5 over 91

5

9

14 ÷ 9 = 1 remainder 5

Answer:

1.5555555555556

Step-by-step explanation:

when you divide those numbers, thats your answer

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However, if you choose to use char as the data type, you should use unsigned char to ensure that the compiler generates logical rather than arithmetic shifts.) void prt_bin( int value, int length ){ int i; for( i=(length-1); i>=0; i--){ if((value>>i)&1) putchar('1'); else putchar('0'); } }For example, if you declare acc as an int, then you could call prt_bin(acc,8) to print the 8-bit value in the accumulator.You should format your output to exactly match the output below. 10% of the grade will be awarded for following the same format.Sample Run is given below:multiplicand: 33multiplier: 55c and acc set to 0mq set to multiplier = 55 decimal and 00110111 binarymdr set to multiplicand = 33 decimal and 00100001 binary---------------------------------------------------step 1: 0 00000000 00110111 + 00100001 ^ add based on lsb=1 ---------- 0 00100001 00110111 >> shift right 0 00010000 10011011---------------------------------------------------step 2: 0 00010000 10011011 + 00100001 ^ add based on lsb=1 ---------- 0 00110001 10011011 >> shift right 0 00011000 11001101---------------------------------------------------step 3: 0 00011000 11001101 + 00100001 ^ add based on lsb=1 ---------- 0 00111001 11001101 >> shift right 0 00011100 11100110---------------------------------------------------step 4: 0 00011100 11100110 + 00000000 ^ no add based on lsb=0 ---------- 0 00011100 11100110 >> shift right 0 00001110 01110011---------------------------------------------------step 5: 0 00001110 01110011 + 00100001 ^ add based on lsb=1 ---------- 0 00101111 01110011 >> shift right 0 00010111 10111001---------------------------------------------------step 6: 0 00010111 10111001 + 00100001 ^ add based on lsb=1 ---------- 0 00111000 10111001 >> shift right 0 00011100 01011100---------------------------------------------------step 7: 0 00011100 01011100 + 00000000 ^ no add based on lsb=0 ---------- 0 00011100 01011100 >> shift right 0 00001110 00101110---------------------------------------------------step 8: 0 00001110 00101110 + 00000000 ^ no add based on lsb=0 ---------- 0 00001110 00101110 >> shift right 0 00000111 00010111---------------------------------------------------check: binary decimal 00100001 33 x 00110111 x 55 ---------------- ------ 0000011100010111 1815 Firms A and B plan to collude in an economy for their similar products, which includes the grim strategy for punishment. 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