12) A study conducted at a certain college shows that 55% of the school's graduates find a job in their chosen field within a year after graduation. Find the probability that among 7 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating

Answers

Answer 1

Answer:

[tex]P(At\ least\ 1) = 0.9963[/tex]

Step-by-step explanation:

Represent the probability that a graduate finds a job with p

[tex]p = 55\%[/tex]

Required

Determine the probability that at least 1 of 7 gets a job.

In probability:

[tex]P(At\ least\ 1) = 1 - P(None)[/tex]

So, we calculate the probability that none of the 7 gets a job.

Represent the probability that a graduate will not get a job with q.

[tex]q= 1 - p[/tex]

[tex]q= 1 - 55\%[/tex]

[tex]q=45\%[/tex]

Represent as decimal

[tex]q = 0.45[/tex]

The probability that none of the 7 will get a job is [tex]q^7[/tex]

i.e.

[tex]P(None) = q^7[/tex]

So, we have:

[tex]P(At\ least\ 1) = 1 - P(None)[/tex]

[tex]P(At\ least\ 1) = 1 - q^7[/tex]

Substitute 0.45 for q

[tex]P(At\ least\ 1) = 1 - 0.45^7[/tex]

[tex]P(At\ least\ 1) = 1 -0.00373669453[/tex]

[tex]P(At\ least\ 1) = 0.99626330547[/tex]

[tex]P(At\ least\ 1) = 0.9963[/tex] -- approximated


Related Questions


Please solve needed as soon as possible thank you I really appreciate it

Answers

Answer:

143

Step-by-step explanation:

6(3³)-2(3²)+3-4=

6(27)-2(9)-1=

162-18-1=

143

The ratio of Mollie’s age to Heather’s age is 4:9 Heather is 40 years older than Mollie
How old is Mollie?

Answers

Answer:

I believe it would be 90

Step-by-step explanation:

The required age of Mollie's is 32years and age of Heather's is 72years.

Given that,

The ratio of Mollie’s age to Heather’s age is 4:9,

Heather is 40 years older than Mollie.

We have to determine,

How old is Mollie.

According to the question,

The ratio of Mollie’s age to Heather’s age is 4:9,

The age of Mollie's = 4x

And age of Heather's = 9x

Then ,

The age of Mollie is calculated in the following steps.

The difference between the age of both is 40 years

Age of Heather's - Age of Mollie = Difference of their ages

Then,

[tex]= 9x-4x = 40\\\\= 5x = 40\\\\= x = \frac{40}{5} \\\\= x = 8[/tex]

The value of x is 8.

Therefore,

Age of Mollie's = 4x = (4).(8) = 32years

And Age of Heather's = 9x = (9).(8) = 72years

Hence, The required age of Mollie's is 32years and age of Heather's is 72years.

For more information about linear equation click the link given below.

https://brainly.com/question/11897796

Pls help!

What is 7/20+3/5 (as a fraction)
3/5+3/10 (as a fraction)
Thanks!

Answers

Answer:

your answers would be 19/20 as a fraction and 9/10 as a fraction

Step-by-step explanation:

:P

Answer:

15/20(3/4), 9/10

Step-by-step explanation:

well in order to add or subtract fractions for that matter, you must have the a common denominator meaning the bottom number on both of the fractions must be the same. and in order to do that you must take the smaller denominator and find what can multiply that into the bigger denominator so in your case 5 is the smaller denominator so in order to get 20 we multiply by 4 and so what you do to the bottom you must also do to the top so we have 3 and now we must also multiply that by 4 leaving us with 12/20 as our new fraction. so now the adding is easy, 7+12=15 and you keep the same denominator 20

so your first answer would be 15/20 and if you need that simplified then you do the same thing once again and you find a common factor between your denominator (the bottom number) and the numerator (the top number) and in this case they do have a common factor which is 5 therefore if you divide both parts ofthe fraction by 5 it will leave you with 3/4 which is your simplified answer to this first question

now for the second equation i'm not going to go through the steps one by one again, as we already have but you may feel free to practice these on your own, but if we skip the step of creating the denominators to be the same with a common factor, then we will should have 6/10+3/10 leaving us with 9/10 as our simplified answer because 9 and 10 do not have any number in common to divide by.

hope this helps, if it does please make sure to like, rate, learn from it, and mark me the brainliest if possible!

awesome hope you have a great day!

Which relationships describe angles 1 and 2?

Select all correct answers.


A. adjacent angles

B. complementary angles

C. supplementary angles

D. vertical angles

Answers

Answer:

A, B

Step-by-step explanation:

C supplementary angels

A building cast a shadow that is 72 feet long a garage next to the building is 27 feet high in Cassa shadow that is 4.5 feet long what is the height of the building

Answers

Answer:

c<190

Step-by-step explanation:

Step 1: Subtract 670 from both sides.

7c+670−670<2000−670

7c<1330

Step 2: Divide both sides by 7.

7c  7 <

1330

7

anyways thjis would be the answer c<190

Answer:

Step-by-step explanation:

2(a - 4) + 15 = 13
Please help

Answers

Answer:

a=3

Step-by-step explanation:

Answer:

a = 3

Step-by-step explanation:

A fruit punch recipe uses 6 cups of lemonade for every 8 cups of fruit punch. If Sally used 15 cups of lemonade, how many cups of fruit punch were used?

Answers

20 cups of fruit punch

write a function of least degree to model this graph with the final answer in factored form.

Answers

Answer 1 maybe

Step-by-step explanati

Barry entered a singing competition. Three of 15 judges voted for him to go on to the semifinals.

What percent of the judges voted for him?

Answers

20% of the judges voted for him

3 divided by 15 = 0.20 multiply that times 100 to convert to percentage

20% because only 3 out of 15 voted for him if you take a candy bar and cut it out into 15 pieces and take away 3 you’re taking away 20% of the candy bar. And you’re left with 80% so that means 80% didn’t vote for him to go to the semifinals only 20% did.

i need help with this problem down below

Answers

Answer:

[tex] y = 4 [/tex]

Step-by-step explanation:

Given:

[tex] y = \frac{7x + 1}{3x - 6} [/tex],

To find the value of y, let's find x by solving 3x = 15.

3x = 15

Divide both sides by 3

x = 15/3

x = 5

Plug in the value of x into [tex] y = \frac{7x + 1}{3x - 6} [/tex]

[tex] y = \frac{7(5) + 1}{3(5) - 6} [/tex]

[tex] y = \frac{35 + 1}{15 - 6} [/tex]

[tex] y = \frac{36}{9} [/tex]

[tex] y = 4 [/tex]

Please Help!!!! 20 Points!!! Will mark Brainliest!!!!

Answers

The answer is 125 because x=-1.4649..

Hey PLEASE HELP ME ASAP I BEG OF YOU I WILL GIVE U BRAINLEST.

Answers

Answer:

31333.75cm³

Step-by-step explanation:

Volume = πr²h

= 3.14 × (46.45/2)² × 18.5 = 31333.75cm³

Use slope-intercept form to write an equation of a line passing through the given point and having the given slope. Express the answer in standard form. P(-4,-9); m= -3/4

Answers

Answer:

4y = -3x - 48

Step-by-step explanation:

y - y1 = m(x - x1)

y1 = -9 x1= -4 m = -3/4

y -(-9) = -3/4(x -(-4)

y + 9 = -3/4(x + 4)

y + 9 = -3/4x -12/4

multiply through by 4

4y + 36 = -3x -12

4y = -3x -12-36

4y = -3x -48 in the form y = mx + c

A manufacturing firm just received a shipment of 18 assembly parts, of slightly varied sizes, from a vendor. The manager knows that there are only 16 parts in the shipment that would be suitable. He examines these parts one at a time. a. Find the probability that the first part is suitable. (Round your answer to 2 decimal places.) b. If the first part is suitable, find the probability that the second part is also suitable. (Round your answer to 4 decimal places.) c. If the first part is suitable, find the probability that the second part is not suitable. (Round your answer to 4 decimal places.)

Answers

Answer:

(a) 0.89

(b) 0.8823

(c) 0.1176

Step-by-step explanation:

According to the scenario, calculation of the given data are as follows,

Total number of parts = 18

Total number of suitable parts = 16

(a). Probability for the first part is suitable are as follows,

Here, favourable outcomes = 16

So, P1 = favourable outcomes ÷ Total number of parts

= 16 ÷ 18

= 0.89

(b). Probability for the second part is suitable are as follows,

Here, favourable outcomes = 16 - 1 = 15

total number of parts = 18 - 1 = 17

So, P2 = favourable outcomes ÷ Total number of parts

= 15 ÷ 17

= 0.8823

(c). Probability for the second part is not suitable are as follows,

Here, favourable outcomes = 17 - 15 = 2

Total number of parts = 17

So, P2 = favourable outcomes ÷ Total number of parts

= 2 ÷ 17

= 0.1176

please help me ASAP i’ll give you Brainlest if you get the answer correct!!

Answers

Answer:

The answer is x=3. Want me to explain?

Answer:

816 is the answer

Step-by-step explanation:

Tyler orders a meal that costs $15. The sales tax rate in Tyler's county is 6.6%. Write an equation to represent the relationship between the original cost of the meal and the cost after the sales tax. Use x for the original cost for the meal and y for the cost after sales tax.

Answers

Answer:

Step-by-step explanation:

y = (1.066)x

The equation to represent the relationship between the original cost of the meal and the cost after the sales tax is y = 1.066x

How to calculate the sales tax?

The sales tax is the amount charged on the price of goods and services.

Let x be the original cost for the meal

Let y be the cost after the sales

If the sales tax rate in Tyler's county is 6.6%, the tax charged is expressed as:

0.066 of theoriginal cost
0.066x

Cost after tax = original cost + tax
Cost after tax = x + 0.066x
y = 1.066x

Hence the equation to represent the relationship between the original cost of the meal and the cost after the sales tax is y = 1.066x

Learn more on tax here: https://brainly.com/question/9625982

Solve this system by substitution​

Answers

This is what I got. (-17/3,1) looks like weird number but I think I did it right.

I need to help my daughter and I can't, someone help me

Answers

Answer:

Step-by-step explanation:

2 9 16 23 30

4         16

6 7  8   9  10        

8          2

10 5 0 -5 -10

Solve 3 ÷ 2. Express your answer as a mixed number.

Answers

Answer:

[tex]1\frac{1}{2}[/tex]

Answer:

when u divide u get 1.5

Step-by-step explanation:

1.5 is the same thing as "one and five-tenths," or "one and five over ten, or one and half," which is written as 112 as a fraction.

list the factors of 9​

Answers

Answer:

Step-by-step explanation:

the factors of 9 are 1,3,9

Answer:

1, 3, 9

[tex] \\ \\ \\ \\ [/tex]

please help me

please pleaseplease please please
I Please please please please please please please please please please please please please please please please

Answers

Answer:

Your answer is.....

In every big pieces there will be 3 * 1/3 pieces.

So total 12 of 1/3 pieces

Mark it as brainlist answer . follow me for more answer.

Step-by-step explanation:

Describe the difference between f(x) = 2 ^ x and f (x) = 0.5 (2) ^ x.

Answers

Answer:

compress vertically with factor of 0.5

Step-by-step explanation:

f (x) = 0.5 (2) ˣ : compress vertically from f(x) = 2ˣ by a factor of 0.5

The curve y=ax2+bx+c passes through (2,5) (3,12) and (-1,-4).find the equation of the curve

Answers

Explanation:

You want to first to substitute to form 3 equations.

5=4a+2b+c

12=9a+3b+c

-4=a-b+c

Now solve with whatever way you fell comfortable, I'm going to use elimination.

First eliminate c

7=5a+b

16=8a+4b --> 4=2a+b

Then I'll eliminate b,

3=3a

a=1

Now solve for b and c

7=5+b

b=2

1-2+c=-4

c=-3

Now for the equation:

y=x^2+2b-3

Hope this helps!

Image is down below, pls answer

Answers

Answer:

67

6+7=13

76-67=9

Done!

Consider the following portion of an electric circuit with three relays. Current will flow from point a to point b if there is at least one closed path when the relays are activated. The relays may malfunction and not close when activated. Suppose that the relays act independently of one another and close properly when activated, with a probability of .9. Given that current flowed when the relays were activated, what is the probability that relay 1 functioned?

Answers

Answer:

0.9009

Step-by-step explanation:

Let X be the event that Current will flow

Let Y be the event that the first relay which is 1 is closed

Thus, we can say that every element of Y is in X, but X possesses more elements. Thus, Y ⊂ X.

Thus, we can say that;

P(X ∩ Y) = P(Y)

Thus, given that current flowed, the probability that relay 1 functioned will be expressed as;

P(Y | X) = (P(Y ∩ X))/P(X)

From earlier, we saw that P(X ∩ Y) = P(Y). Thus;

P(Y | X) = P(Y)/P(X)

From the question, P(Y) = 0.9

Since there are 3 relays, then we have;

P(X) = 1 - 0.1³ = 0.999

Thus;

P(Y | X) = 0.9/0.999

P(Y | X) = 0.9009

The  probability that relay 1 functioned is 0.9009

Calculation:

Let us assume X be the event that Current will flow

And,

Let us assume Y be the event that the first relay

So,  Thus, Y ⊂ X.

Now

P(X ∩ Y) = P(Y)

The probability that relay 1 functioned should be

P(Y | X) = (P(Y ∩ X)) ÷ P(X)

From earlier, we saw that P(X ∩ Y) = P(Y).

So,

P(Y | X) = P(Y) ÷ P(X)

Now

P(X) =[tex]1 - 0.1^3[/tex] = 0.999

So,

P(Y | X) = 0.9  ÷0.999

P(Y | X) = 0.9009

learn more about the probability here: https://brainly.com/question/4203858

A rectangle is 3 meters wide and 10
meters long. How long is the diagonal
of the rectangle?

Answers

a^2 + b^2 = c^2

A-15.1

B-13

Answer:

Diagonal = 10.44 m

Step-by-step explanation:

(3×3)+(10×10) = 109

Sq rt 109 = 10.44 m

can u help me with 3 and 4

Answers

Answer:

3)

   18:6

   66:22

4)

    1:4

     2:24

Hope this helps! <3

How are the triangles similar PLEASEEE HELPPPPPPP

Answers

Answer:

AA similarity postulate

Hope this helps you. Do mark me as brainly.

Rt=R1 R2__, determined Rt when R1=100 and R2 =200?
R1+R2 (electronics)​

Answers

Answer:

[tex]R_t=300\ \Omega[/tex]

Step-by-step explanation:

Given that,

R₁ = 100 ohms

R₂ = 200 ohms

We need to find the equivalent resistance of the circuit. So,

[tex]R_t=R_1+R_2\\\\R_t=100+200\\\\R_t=300\ \Omega[/tex]

So, the equivalent resistance is [tex]300\ \Omega[/tex].

Can anyone please show me how to do this?

Answers

Answer:

Answer and explanation below:

Step-by-step explanation:

The formula to convert radians to degrees is 180/pi

For A:π/8=180/π

Cross multiply

The pi's cross each other out and you're left with

1440 degrees as your answer

Hope this helps! :)

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