Julie is graduating from college. She has studied biology, chemistry, and computing and hopes to work as a forensic scientist applying her science background to crime investigation. Late one night, she thinks about some jobs she has applied for. Let A, B, and C be the events that Julie is offered a job by:
A = the Connecticut Office of the Chief Medical Examiner
B = the New Jersey Division of Criminal Justice
C = the federal Disaster Mortuary Operations Response Team
Julie writes down her personal probabilities for being offered these jobs:
P(A) = 0.6
P(B) = 0.5
P(C) = 0.3
P(A and B) = 0.2
P(A and C) = 0.1
P(B and C) = 0.1
P(A and B and C) = 0
1. Make a Venn diagram of the events A, B, and C. Mark the probabilities of every intersection involving these events and their complements. Use this diagram to answer the following.
2. If Julie is offered the federal job, what is the conditional probability that she is also offered the New Jersey job? (Round your answer to two decimal places.)
3. If Julie is offered the New Jersey job, what is the conditional probability that she is also offered the federal job? (Round your answer to two decimal places.)

Answer:

Angle 1= 106° and Angle 2=74°

Step-by-step explanation:

Angle 2 is 74° because lines a and b are parallel, and since there is a transversal, the 74° angle and angle 2 are corresponding angles.

Angles 1 and angle 2 are supplementary, so you would just do 180° - 74° and you get 106°

Answer:

The central arc measure is 125.

Answer:

the answer is 3

Step-by-step explanation:

that is the answer

Answer:

equilateral, acute

Step-by-step explanation:

Answer:

Scalene, Acute

Step-by-step explanation:

It is scalene because it has all 3 different side lengths, and its acute because every angle is acute

Answer:

(x+2-5y^2) (x+2+5y^2)

Step-by-step explanation:

......,....................

Answer:

Whats the math?

Step-by-step explanation:

sir/miss please add something to answer or this can be reported so remake this add something then we will answer

Answer:

1,1-3,1=2

so I think 2,0

Answer:

Yup that's a scientific number alright.

Answer:

Step-by-step explanation:

The scientific notation 1019e-9 is same as 1019×10^-9 or 1019×10-9. Thus, to get the answer to 1019e-9 as a decimal, we multiply 1019 by 10 to the power of -9.

That means a down bow, it means you move your hand away from the violin, away/down :D Hope it helped!

Answer:

Step-by-step explanation:

Let the total value be T. If he gave them 33% each, they received

.33T each.

Jeff on the other hand still has T(1-.33-.33)=.34T, so Jeff has more than the others.

Answer:

She needs to run 1/2 mile on Saturday.

Step-by-step explanation:

Hope this helps!!

Given:

[tex]4,4+2x,4+4x[/tex] are in geometric sequences​.

To find:

The value of x.

Solution:

If a, b, c are in geometric sequences​, then

[tex]\dfrac{b}{a}=\dfrac{c}{b}[/tex]

[tex]b^2=ac[/tex]           ...(i)

It is given that [tex]4,4+2x,4+4x[/tex] are in geometric sequences​. By using (i), we get

[tex](4+2x)^2=(4)(4+4x)[/tex]

[tex]4^2+2(4)(2x)+(2x)^2=(4)(4)+4(4x)[/tex]

[tex]16+16x+4x^2=16+16x[/tex]

[tex]4x^2=16+16x-16-16x[/tex]

On further simplification, we get

[tex]4x^2=0[/tex]

[tex]x^2=0[/tex]

[tex]x=0[/tex]

Therefore, the value of x is 0.

Answer:

6.25h=50

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

v=1/3Ab*h= 1/3(72)*6

72*2= 144 cm3 so

A

if my answer helps please mark as brainliest.

Answer:

let one part =x

part of vinegar= x

part of oil =2x

part of oil +part of vinegar = 450ml

2x+x=450

3x=450

x=450/3

x=150

part of vinegar=150ml

part of oil= 300ml

The amount of oil used by Ollie is 300ml.

The linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.

Suppose the vinegar is x ml.

So, the oil is 2x ml.

Ollie makes 450mls of salad dressing.

⇒ 2x + x = 450

Solve the above linear equation for x.

⇒ 3x = 450

⇒ x = 150ml

Therefore, amount of oil she used = 2 × 150ml = 300ml.

Hence, the amount of oil used by Ollie is 300ml.

Learn more about the linear equation in one variable here:

https://brainly.com/question/17139602

#SPJ2

Answer:

X= -10

Step-by-step explanation:

Answer:

Determine a single event with a single outcome. ...

Identify the total number of outcomes that can occur. ...

Divide the number of events by the number of possible outcomes. ...

Determine each event you will calculate. ...

Calculate the probability of each event.

Step-by-step explanation:

CAN I PLS HAVE BRAINLIEST

Answer:

Determine the proportion of months where memberships sold decreases,

increases and remained the same.

Step-by-step explanation:

I just took the test and got it correct.

The first step needed to simulate this data is:

Assign each month a digit from 1 to 24 to account for the 24 total months being compared.

Option B is the correct answer.

Simulating data means creating artificial data that mimics the characteristics of real data.

This artificial data is generated by using a model or a set of rules that describe how the data might be generated under certain conditions.

We have,

The first step needed to simulate this data is to assign each month a digit from 1 to 24 to account for the 24 total months being compared.

This will allow for an easy comparison of the sales data from last year and this year.

Once each month has been assigned a digit, the data can be organized and analyzed to determine the proportion of months where memberships sold decreased, increased, and remained the same, as well as the mean monthly sales from last year and this year.

Finally, random digits can be assigned to each sales figure from last year and this year to create a simulated data set that can be used for further analysis and modeling.

Thus,

The first step needed to simulate this data is:

Assign each month a digit from 1 to 24 to account for the 24 total months being compared.

Learn more about simulating data here:

https://brainly.com/question/30862586

#SPJ2

Answer:

[tex]\displaystyle \frac{x + 7}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{x^2 + 12x + 35}{3x + 15}[/tex]

Step 2: Simplify

Answer:

B

Step-by-step explanation:

Answer:

18x - 30

Step-by-step explanation:

in order to expand the expression, you need to use the distributive property to simplify 6(3x - 5).

first, distribute 6 to 3x, which is just 6 • 3x.

now distribute 6 to -5, which is just 6 • -5.

therefore, 6(3x - 5) expanded is 18x - 30 :) i hope this helps!! have a lovely rest of your day <3

Answer:

[tex]0.035 \times 10 {}^{2} [/tex]

0.035 x 10 to the second power

Step

Given:

Amount = Rs. 34476

Rate of compound interest = 4%

Time = [tex]2\dfrac{1}{2}=2.5[/tex] years

To find:

The principal value.

Solution:

Formula for amount is

[tex]A=P\left(1+\dfrac{r}{100}\right)^t[/tex]

Where, P is principal value, r is rate of interest and t is time in years.

Putting the given values, we  get

[tex]34476=P\left(1+\dfrac{4}{100}\right)^{2.5}[/tex]

[tex]34476=P\left(1+0.04\right)^{2.5}[/tex]

[tex]34476=P\left(1.04\right)^{2.5}[/tex]

[tex]\dfrac{34476}{\left(1.04\right)^{2.5}}=P[/tex]

Now,

[tex]P=31256.0090[/tex]

[tex]P\approx 31256[/tex]

Therefore, the value of sum or principal value is Rs.31256.

Answer:

C. y= 6.18x + 10.9

Step-by-step explanation:

Every game that he plays (x) costs 6.18, for example, if he plays 3 games it would be 6.18 times 3 (games)

Now you have to add your admission, 10.9

To enter he needs to pay the admission ( 10.9 ) and also each game ( x ) he plays ( 6.18 )

Answer:

15. 6

16. 40

Step-by-step explanation:

Use the formula for pythagorus: c^2 = a^2 + b^2

15. 10^2 = 8^2 + b^2

100 = 64 + b^2

*minus 64 on both sides

36 = b^2

*square root both sides

b = √36 = 6  

16. c^2 = 24^2 + 32^2

c^2 = 576 + 1024

c^2 = 1600

*square root both sides

c = √1600 = 40

Hope this helps :)

1) 164

2) 1600

because a^2 + b^2 = c^2 <3

Answer:

C. MSRP

Step-by-step explanation:

Commonly called the sticker price because it’s the bottom line figure in a cars window sticker, is the base price plus any options

There are different kinds of terms. Another name that can be used for the cost above is Sticker Price.

The sticker price is also known or called the total MSRP. It is often said to be sticker price due to the fact that it is the conclusive ( bottom line ) figure found on a car's window sticker.

Tis also known as the base price with the addition of any other options, option-package discounts, etc. A person can purchase a vehicle for less than the amount of the sticker price.

Learn more about Sticker Price from

https://brainly.com/question/11947230

Answer:

36

Step-by-step explanation: