An investigative bureau uses a laboratory method to match the lead in a bullet found at a crime scene with unexpended lead cartridges found in the possession of a suspect. The value of this evidence depends on the chance of a false positivethat ​is, the probability that the bureau finds a​ match, given that the lead at the crime scene and the lead in the possession of the suspect are actually from two different​ "melts," or sources. To estimate the false positive​ rate, the bureau collected bullets that the agency was confident all came from different melts.​ Then, using its established​ criteria, the bureau examined every possible pair of bullets and found matches. Use this information to compute the chance of a false positive.

Answer:

d.  $62,080

Step-by-step explanation:

Annual earned income  = $58,475

Passive income  = $1255

Capital gains  = $2350

Unknown:

Total gross income for the year = ?

Solution:

Gross income is the some of all the income within a given period time.

   Gross income = Annual income earned + Passive income + Capital gains

                           = $58,475 + $1255 + $2350

                           = $62,080

His gross income is $62,080

Answer:

His gross income is $62080

Step-by-step explanation:

Gross income, in other words, means total income. So if you want to find the gross income, you have to add ALL his earnings together.

$58475+$1255+$2350=$62080

And that is the final answer, since that his is only income earned.

Answer:

Step-by-step explanation:

I have taken out time to prepare the raw file as a CSV file (comma separated variable) please see attached the excel format.

Z-SCORE= (DataPoint-AVERAGE(DataSet))/STDEV(DataSet)    

IN EXCEL,

AVERAGE, an excel function that calculates the Average of data set

STDEV.S: calculates the standard deviation while treating the data as a ‘sample’ of a population.

STDEV.P: This function calculates the standard deviation while treating the data as the entire population.

kindly find attached the excel sheet, with calculations done

Kindly let me know if you need more information,

Answer:  A. 46

My reason is that you would want to times each one to see if they would equal 100 so what you would is (2 x 46+8) which equal 100.

Answer:

1.

-2x - 9y = -3

-7x - 9y= -33

Set equal to y.

-2x - 9y = -3

-9y = 2x - 3

y = -2/9x + 3/9

y = -2/9x + 1/3

-7x - 9y= -33

-9y = 7x - 33

y = -7/9x + 33/9

y = -7/9x + 11/3

Set equal to each other

-2/9x + 1/3 = -7/9x + 11/3

Combine like terms.

5/9x = 10/3

Multiply by 9/5

x = 6

Plug x in.

y = -7/9(6) + 11/3

y = -42/9 + 11/3

y = -42/9 + 33/9

y = -9/9

y = -1

(6, -1)

2.

-3x - 7y = 18

9x + 2y = 3

Set equal to y.

-3x - 7y = 18

-7y = 3x + 18

y = -3/7x - 18/7

9x + 2y = 3

2y = -9x + 3

y = -9/2x + 3/2

Set equal to each other.

-3/7x - 18/7 = -9/2x + 3/2

57/14x = 57/14

Multiply 14/57.

x = 1

Plug x in.

-3(1) - 7y = 18

-3 - 7y = 18

-7y = 21

y = -3

(1, -3)

Answer:

the answer is -9

could you also please mark me as brainliest?

Answer:

Step-by-step explanation:

and

Right angle equals 90°, therefore

Answer:

you can look that up on google, answer is 100.8

Step-by-step explanation:

Answer:

-17

Step-by-step explanation:

-4*2=-8

-8*3=-24

-24+7=-17

Answer:

[tex]2x^{2} +3x[/tex]

Step-by-step explanation:

g(2x+3)

x(2x+3)

2x^2+3x

I believe the answer is x ≤ -60.

Answer: Number 4

Step-by-step explanation: None

Answer: 4x3=12 5x3=15 6x3=18 7x3=21 This is multiplied by 3

Step-by-step explanation:

This question is incomplete, the complete question is;

Given that is a standard normal random variable, find for each situation (to 2 or 3 decimals)

a. The area to the left of z is 0.8

b. The area to the left of z is 0.882

c. The area to the right of z is 0.8225

(Hint: Enter the positive z-value)

Answer:

a) z = 0.84

b) z = 1.185

c) z = -0.925

Step-by-step explanation:

a)

area to the left of z is 0.8

Making use of the standard normal table

p( Z < z ) = 0.8

we check the the probability of 0.8 in the standard normal table

so the corresponding value of z is 0.84

p( Z < 0.84 ) = 0.8

z = 0.84

b)

area to the left of z is 0.882

Making use of the standard normal table

p( Z < z ) = 0.882

we check the the probability of 0.882 in the standard normal table

so the corresponding value of z is 1.185

p( Z < 1.185 ) = 0.882

z = 1.185

c)

area to the right of z is 0.8225

Making use of the standard normal table

p( Z > z ) = 0.8225

1 - p( Z < z ) = 0.8225

p( Z < z ) = 1 - 0.8225

p( Z < z ) = 0.1775

p( Z < -0.925 ) = 0.1775

z = -0.925

Answer:

8 eight ounce glasses

Step-by-step explanation:

1 gallon = 128 oz

.5 gallons = 64 oz

64 oz / 8 oz glasses = 8 8-oz glasses

Answer:

that's a right angle and its equals 90° but I think you add all of them 56°,31°, and x°

Answer:

x should equal 93

Step-by-step explanation:

180° - 56° - 31 degrees = 93°.

Let me if its wrong and I will correct it if is.

Answer:

the answer is complicated it is 5 actully

Step-by-step explanation:

the answer is 5

Answer:

√(65) Simplified

Step-by-step explanation:

Complete question is;

A consulting firm submitted a bid for a large research project. The firm's management initially felt they had a 50-50 chance of getting the project. However, the agency to which the bid was submitted subsequently requested additional information on the bid. Past experience indicates that for 74% of the successful bids and 39% of the unsuccessful bids the agency requested additional information.

1. What is the prior probability of the bid being successful (that is, prior to the request for additional information)?

2. What is the conditional probability of a request for additional information given that the bid will ultimately be successful?

3. Compute the posterior probability that the bid will be successful given a request for additional information (to 2 decimals).

Answer:

1) 0.5

2)0.74

3) 0.65

Step-by-step explanation:

1) Since we are told that they had a 50-50 chance of getting the project, Thus;

Probability of a successful bid is;

P(Successful bid) = 50/(50 + 50) = 50/100 = 0.5

2) We are told that for 74% of the successful bids, the agency requested additional information. Thus;probability of a request for additional information given that the bid will ultimately be successful is;

P(request|successful) = 74% = 0.74

3) For us to find the posterior probability that the bid will be successful given a request for additional information will be gotten using bayes theorem to get;

P(successful|request) = [P(request|successful) × P(Successful bid)] / [(P(request|successful) × P(Successful bid)) + (P(request|unsuccessful bid) × P(unsuccessful bid))]

P(request|unsuccessful bid) is given as 0.39 and P(unsuccessful) will be 0.5.

Thus;

P(successful|request) = (0.74 × 0.5)/[(0. 74 × 0.5) + (0.39 × 0.5)] ≈ 0.65

Answer:

Step-by-step explanation:

ABC

CBA

1

B

Answer:

1 ABC CBA B is the correct answers

Answer:

n>17

Step-by-step explanation:

Step 1: Flip the equation.

n-3>14

Step 2: Add 3 to both sides.

n-3+3>14+3

The value of the n is more than 17 which is mathematically given in the form of an inequality equation as n > 17.

Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as well as is used to compare two statements.

The inequality equation is given below.

14 < n - 3 ​

Add 3 on both sides then we have

17 < n

More about the inequality link is given below.

https://brainly.com/question/19491153

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Answer:

Step-by-step explanation:

set up a proportion

6/4.18 = 33/x

137.94 = 6x

x = $22.99

Answer:

[3,4,5]

Step-by-step explanation:

the answer is [3,4,5,]

because domain means it is the value of x.

Answer:

x=2(5−3iy−2i)

Step-by-step

Regroup terms.

5-3iy= \frac{1}{2} x+2i

​​Simplify \frac{1}{2}x\frac{x}{2}

5-3iy= \frac{x}{2}+2i

Subtract 2i from both sides.

5−3iy−2i= \frac{x}{2}

Multiply both sides by 2.

(5−3iy−2i)×2=x

Regroup terms

2(5−3iy−2i)=x

Switch sides

x=2(5−3iy−2i)

The solution for the variables x and y are 30 and -2/3 respectively:

Given the expression 15-3yi=1/2x+2i, to solve for the value of x and y, we need to compare the real and the imaginary sides as shown:

Comparing the real sides:

[tex]15=\frac{x}{2} \\x= 15\times 2\\x = 30[/tex]

For the imaginary sides:

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

Hence the solution for the variables x and y are 30 and -2/3 respectively:

Learn more here: https://brainly.com/question/17794535

Answer: 3.5

Step-by-step explanation:

Answer:

give me a answer

Step-by-step explanation:

Answer:

*2520

Step-by-step explanation:

A quarter of him income was spent on food

X (representing his income) - x/4= 3x/4

Then 2/3 was spent on house rent. Notice the, the question didnt say 2/3 of his income. Therefore it would be 2/3 of what is remaining after he pays for food.

2/3 * 3x/4= x/2

3x/4-x/2=x/4.

The remaining after all expenses are paid is 630. So:

x/4=630

x=630*4

x=2520

1/4 + 2/3 + 1/12 = 1

That is fraction on

Food + house rent + other items = Total amount

If 1/12 = 630.............. equation 1

Then 1/4 + 2/3 = 11/12

11/12= x................. equation 2

Cross multiply equation 1 & 2

1/12*x = 1155/2

To find x, cross multiply again

2x = 13860

x = 13860/2

x = 6930

This means that 11/12 + 1/12 = 6930 + 630

= 7560

Therefore 2/3(fraction for house rent)*7560(total amount)=5040

Answer is 5040

Answer:

x=7.5

Step-by-step explanation:

4-4/9x=2/3

-4/9x=2/3-4/1

-4/9x=-12/3-2/3

-4/9x=-10/3

TIMES 3 To each side.

-4x=-30

x=7.5

Answer:

650 from fiji

Step-by-step explanation:

837-187=f

837-187=650

The required solution to the given system of equations is (3,1) using the substitution method.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The system of given equations following as:

y = - 2x + 7 ....(i)

y = 3x - 8   ....(ii)

We have to determine the solution to the given system using substitution or elimination.

The required solution using the substitution method would be as;

Substitute the value of the equation y = 3x - 8 in equation (ii), and solve for x

3x - 8 = - 2x + 7

3x + 2x = 7 + 8

5x = 15

x = 15/5

x = 3

Substitute the value of x = 3 in equation (ii), and solve for y

y = 3(3) - 8

y = 9 - 8

y = 1

Thus, the solution to the given system of equations is (3,1).

Learn more about the equation here:

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