Michael has interviewed for two jobs. He feels that he has a 50% chance of getting an offer on Job A and a 60% chance of getting an offer on Job B. He also believes there is a 30% chance of getting an offer on both jobs. What is the probability that he receives an offer on at least one of the jobs?
A. 0.70
B. 0.25
C. 0.10
D. 0.80

Answers

Answer 1

Using Venn probabilities, it is found that the probability that he receives an offer on at least one of the jobs is given by:

D. 0.80

What is a Venn probability?

In a Venn probability, two non-independent events are related with each other, as are their probabilities.

The "or probability" is given by:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

In this problem, we have that:

50% chance of getting an offer on Job A, hence P(A) = 0.5.60% chance of getting an offer on Job B, hence P(B) = 0.6.30% chance of getting an offer on both jobs, hence [tex]P(A \cap B) = 0.3[/tex].

Then, the probability of getting an offer on at least one job is:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B) = 0.5 + 0.6 - 0.3 = 0.8[/tex]

Hence option D is correct.

More can be learned about Venn probabilities at https://brainly.com/question/25698611


Related Questions

What are coordinates of point X

Answers

Answer:

(3.5,3.5) are the coordinates of X

Answer:

(-3.5, -3)

Step-by-step explanation:

To get to point X, you have to travel -3.5 on the X-axis and -3 on the Y-axis. That means the answer is (-3.5, -3).

Simplify the equation.

Answers

Answer:

The answer is 3x+5/7

Step-by-step explanation:

Hope this helps

Mark brainliest please :)

[100POINTS)A line contains the points R (-5, -6) S (1, 5) and T (x, 10). Solve for x. Be sure to show and explain all work.


Please answer this in the most simplest way for me to understand.

Thank you.

I

Answers

Answer:

[tex]\frac{41}{11}.[/tex]

Step-by-step explanation:

1) to make up the equation of the given line:

[tex]\frac{x-X_R}{X_S-X_R} =\frac{y-Y_R}{Y_S-Y_R}; \ => \frac{x+5}{1+5} =\frac{y+6}{5+6}; \ => \frac{x+5}{6} =\frac{y+6}{11}.[/tex]

2) to substitute y=10 into the equation of the given line, then to calculate the value of 'x':

[tex]\frac{x+5}{6} =\frac{10+6}{11}; \ => \ x=\frac{96}{11}-5=\frac{41}{11}.[/tex]

Equation of ST :-

Slope=

m=5+6/1+5=11/6

Equation in point slope form

y+6=11/6(x+5)6y+36=11x+556y=11x+19y=11/6x+19/6

Now T lies on this line

10=11/6x+19/6

Ok solving we would get

x=41/11

What percent is equivalent to StartFraction 1 Over 25 EndFraction?

Answers

Answer:

4%

Step-by-step explanation:

[tex]\frac{1}{25}[/tex]

Convert to a decimal( by dividing the numerator by the denominator)

[tex]1[/tex] ÷ [tex]25[/tex] = [tex]0.04[/tex]

Multiply by 100 to get the percent.

[tex]0.04[/tex] · [tex]100\\[/tex] [tex]= 4\\[/tex]

4%

Please answer URGENT

Answers

Step-by-step explanation:

You divide the polygon into smaller shapes, rectangles suit this best.

There will be 2 rectangles:

1st rectangle whose length is 24ft and its width is 11 ft (21-10=11).

2nd rectangle its length is 10ft and its width is 7ft.

You find the area of both rectangles. The formula of finding the area of a rectangle is length X width.

1st rectangle has an area of 264 ft² (24 X 11)

2nd rectangle has an area of 70ft² (10 X 7)

Add the area of the two angles to get the area of the polygon.

What is the y-intercept (vertical intercept) of this graph?

Answers

Answer:

y=b

Step-by-step explanation:

Because i recently did it

4. Classify the following polynomial by degree
and number of terms.
5x3 + 2x - 2

Answers

hope that helps! check out the app socratic

See below.
Is 8:30 start time the most popular time with students?

Answers

Yes, 8:30 is the most popular start time

if f(x)=7x-7 what is f(8)+f(4)

Answers

Given Function is

f ( x ) = 7x - 7 ------- eqn ( 1 )

Now , put the value of x = 8 in eqn ( 1 )

f ( 8 ) = 7 ( 8 ) - 7f ( 8 ) = 56 - 7f ( 8 ) = 49 ------- eqn ( 2 )

Now , put the value of x = 4 in eqn ( 1 )

f ( 4 ) = 7 ( 4 ) - 7f ( 4 ) = 28 - 7f ( 4 ) = 21 ------- eqn ( 3 )

From eqn ( 2 ) nd eqn ( 3 ) we get,

f ( 8 ) + f ( 4 )49 + 21 70

Hope Helps! :)

this is a long one but here we go-
Tanvi teaches art lessons at a day camp and needs to get supplies. She purchases 40 Bright Streak paint sets from the Color Splash art store. She uses a coupon she received in the mail for $10 off her purchase. Tanvi spends $310 in all.
Which equation can you use to find p, the original price of each Bright Streak paint set?

Answers

P: $310 is the correct answer

in college there are 12 times as many students as professors. If together the students and professors number 32,500, how many students are there in the college?

Answers

The answer is 16,345 students

Answer:

2708

Step-by-step explanation:

If there are 12 times as many students as professors all you have to do is divide the amount of students my 12 (32,500/12)

32,500/12 = 2708.3333 (3 keeps repeating)

Obviously there is not 0.333 repeating professors, cant have 0.3 of a professor so just round down to 2708

List all the factor pairs of 180

Answers

Answer:

1,2,3,4,5,6,9,10,12,15,18,20,30,45,60,90,180

Step-by-step explanation:

Find the real solutions to the equation.
312,500 = 4z^7

Answers

Do you know what the first step is

Write the number for seven million twenty thousand

Answers

Answer:

7,020,000, is the answer

hey please help this is due today ​

Answers

Answer:

100

Step-by-step explanation:

Write in an equation:

4=4%x, then divide 4% from both sides, and then you get 100.

Answer:

Step-by-step explanation:

We have, 4% × x = 4

or,

4

100

× x = 4

Multiplying both sides by 100 and dividing both sides by 4,

we have x = 4 ×

100

4

x = 100

If you are using a calculator, simply enter 4×100÷4, which will give you the answer.

At Garcia's Bike Rentals, it costs $41 to rent a bike for 9 hours. How many dollars does it cost per hour of bike use? Please round to nearest hundredth if necessary and please answer as a decimal unless answer is a whole number. Answer to get 30 pts.

Answers

we know it costs $41 for 9 hours, how much will it be for 1 hour?

[tex]\begin{array}{ccll} \$&hours\\ \cline{1-2} 41&9\\ x&1 \end{array}\implies \cfrac{41}{x}=\cfrac{9}{1}\implies \cfrac{41}{x}=9\implies 41=9x \\\\\\ \cfrac{41}{9}=x\implies 4.56=x[/tex]

Simplify the following:

[tex]\frac{8x^2y^2-10xy^3-22y}{2y^2}[/tex]

Answers

Answer:

 [tex]\frac{4x^2y-5xy^2-11}{y}[/tex]  

Step-by-step explanation:

[tex]\frac{8x^2y^2-10xy^3-22y}{2y^2}[/tex]

[tex]=\frac{8x^2y-10xy^2-22y}{2y}[/tex]

[tex]=\frac{4x^2y-5xy^2-11}{y}[/tex]

[RevyBreeze]

21 yes im right brainly is brain

people keep putting nonsense answers on my questionsomeone plsss help me. the answer is y=2x+16 and y=-2x-20

Answers

Answer:

[tex]y=(x+8)(x+10)=x^2 + 18x + 80[/tex]

[tex]\frac{dy}{dx} = 2x + 18[/tex]

[tex]y=0[/tex] when [tex]x=-8[/tex] and [tex]x=-10[/tex]

so the tangent slopes are [tex]\frac{dy}{dx} = 2[/tex] and -2 at those x.

The lines are y = 2x + b and y = -2x + c.

We need to find b and c.

The first line must go through (-8,0) and the second one through (-10,0).

For the first line: 0 = 2*(-8) + b and b = 16.

For the second line: 0 = -2*(-10) + c and c = -20.

Step-by-step explanation:

I have  bunch of videos on calculus on my "Sciency Sergei" you tube channel. You are welcome to stop by :).

The mode of the set of measurements is
"24.35 cm, 22.51 cm, 20.98 cm, 20.98, 30.33 cm, 30.98 cm"
a 22.51 cm
b 24.35 cm
12
C 20.98 cm
o
d 23.43 cm

Answers

C. 20.98 cm

Mode happens when a number appears kore then once. So because 2.98 cm shows up twice we can figure out that it is the mode

A utility pole makes a 90° angle with the ground. A cable wire
connected to the utility pole makes an exterior angle of 110°
with the ground. Using the information, find m_XYZ.

A.)110°
B.)90°
C.)70°
D.)20°

Answers

Answer:

C- ) 70 degrees

Step-by-step explanation:

180 is the degree of half circle you already have the first number 110 now you need to find out which number gets you to 180 and the only one that works it 70

110+70

=80

If Lan was highlighting the multiples of 5 on a hundreds chart, which numbers would be highlighted? Which of these numbers are prime numbers? Explain.

Answers

Answer: The numbers that would be highlighted are 5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100. They would be highlighted because they are divisible by 5. Only 5 would be a prime number because all the other numbers are divisible by 5 as well so they wouldn't only have 1 and themselves as a divisor.

What angle corresponds to ∠M?



∠B
∠C
∠D
∠A
What angle corresponds to ∠M?



∠B
∠C
∠D
∠A

Answers

Answer:

angle B

Step-by-step explanation:

M is the angle in the top right corner of LMNO.

so, what angle of ABCD is in the top right corner ?

B.

it is as simple as that.

Which of the following is a monomial?

Answers

Answer:

C is a monomial

Step-by-step explanation:

Attached are some example of monomials

Hope this helps!

Find the factored form of the expression. Use radicals or i as needed. 6x^2+150=0

Answers

Answer: x=5

x=−5

Step-by-step explanation:

I need help with number 12

Answers

Answer:

( C ) Because U.S hospital admission has only 5% of Hospital-Acquired infections

Find the y-intercept of each exponential function and order the functions from least to greatest y-intercept.
h(x)
х
f(x)
2
2
A function, g, has a
growth factor of 2
an a value of 1, and
passes through (1,-2)
0
1
0
-2
-2
2
3
-6
-24
N

Answers

Answer:

Keep the exact order that is shown

Step-by-step explanation:

The first exponential already has a point at (1, -2) which means the y-intercept would be less than -2, which is the lowest among the three


The second has a y-int at -2

Third has y-int at 2

State the various transformations applied to the base function f(x) = |x| to obtain a graph of the function g(x) = |x + 1| − 2.

Answers

Step-by-step explanation:

2 units downward and 1unit to the left

Add. (5x3 – 3x + 12) + (4x3 + 10x2 – 2x)

Answers

3+3x+12+20-2x
35+x

ANSWER: 35+x

Answer: 9x^3 + 10x^2 - 5x + 12

Step-by-step explanation:

Use the equation below to find y , if m =4 ,x=8 and b=-1

Answers

Answer: y = 31

Step-by-step explanation:

The equation of a line is y = mx+b

Plugging in the values, we get

y = 4*8 + (-1)

y = 32-1

y = 31

Which expression is equivalent to the following 1/a^5?

Answers

Answer:

if this is a fraction, then negative 5 over a⁶

Other Questions
Help help ASAP help math If you love a person then he love another girl what you feel ? When the ocean water freezes or evaporates, the salinity of the ocean Planting more and more trees can reduce air pollution. find the phrase in this sentence and tell which type of phrase it is. which angle measure 90 degrees and forms a square corner A. acute angle B. obtuse angle C. right angle D. straight angle What is the product? Is 7x=5x-25+30 no solution,one solution, or all real numbers? Thank you! You choose a marble at random from a bag containing 12 red, 12 blue, 15 green, 9 yellow, and 12 black marbles. Write the probability of the marble is red: as a fraction as a decimal and as a percent how do you expect the spread of a foodborne disease to be similar to and different from the spread of a person-to-person disease find the coordinats of P the startup routine runs,when machine boots up is known as What is the value of the expression2((a + b)- b), when a = 7 and b= 1OA) 14OB) 49OC) 126OD 127 Select the correct answer.What argument does Thomas Jefferson make in this excerpt from the Declaration of Independence?Creator with Explain TWO factors that have contributed towards more students being able to study who would not ordinarily have been able to do so. A bear weighs 6435 grams. How much does the bear weigh in kilograms #2 What does the title Genghis Khan mean? A circular mirror is surrounded by a square metal frame. The radius of the mirror is 2x. The side length of the metal frame is 8x. What is the area of the metal frame? Given that ABCD is a rhombus. Prove 12. Select the correct answer. A parabola has an x-intercept of -1, a y Intercept of -3, and a minimum of 4 at x = 1. Which graph matches this description? Carla has 7 FEWER beads than Samantha. Samantha has 35 beads which equations can you use to find B the number of beads Carla has A: b= 35+7B: b= 35-7C: 7= 35-bD: 35= b+7E: b-7= 35