The probability that an employee at a company uses illegal drugs is 0.08. The probability that an employee is male is 0.62. Assuming that these events are independent, what is the probability that a randomly chosen employee is a male drug user?

Answers

Answer 1

Answer: 0.0496

Step-by-step explanation:

If events are said to be independent it means that the probability of one happening does not affect the probability of the other.

In calculating the probability that an employee is both male and a drug user using independent events, multiply the probabilities of the individual events to find the probability of the the events happening together.

P(A) * P(B) = P(A and B)

0.08 * 0.62 = 0.0496

Answer 2

Probabilities are used to determine the chances of events.

The probability that a randomly chosen employee is a male drug user is 0.0496

Represent the two events as A and B, such that:

[tex]P(A) = 0.08[/tex]

[tex]P(B) =0.62[/tex]

So, the probability that a randomly chosen employee is a male drug user is calculated as:

[tex]P(A\ and\ B) =P(A) \times P(B)[/tex]

This gives

[tex]P(A\ and\ B) =0.08 \times 0.62[/tex]

Multiply

[tex]P(A\ and\ B) =0.0496[/tex]

Hence, the probability that a randomly chosen employee is a male drug user is 0.0496

Read more about probabilities at:

https://brainly.com/question/20227629


Related Questions

4 x 12 = 6 x n.

4
6
8
12

Answers

Answer:

The answer is 8

Step-by-step explanation:

Because 4x12 is 48 and so is 6x8

Answer:

C. 8

Step-by-step explanation:

4 ⋅ 12 = 6n (6 ⋅ n is the same as 6n)

Multiply 4 ⋅ 12.

48 = 6n

Divide both sides by 6

n = 8

Hope I helped :)

Please consider Brainliest :)

A power boat travels along a river in which the flow of water is at a constant in one direction. If the boat travels at 40 mph downstream and 30 mph upstream. What is the speed of the boat in still water and the speed of the river?

Answers

Answer:

im guessing 35mph

Step-by-step explanation:

Answer:

30 mph and 40 mph

Step-by-step explanation:

It is the same with the speed and water.

Which situation represents a total change in value of 0?
A) You climbed 15 feet up a tree before coming back down 15 feet,
B) You climbed 3,000 feet up a mountain and then climbed down 1,000 feet to camp.

Answers

Answer:

A) You climbed 15 feet up a tree before coming back down 15 feet

HURRY PLEASE 2020 2021 T-Math-Geo T1-CIT: Section 2 - Calculator Section
Which of these is defined as a part of a line that is bounded by two end points?
ray
angle
point
line segment

Answers

Answer:

the answer is a line segment :)

The table below shows the location of four treasure chests relative to sea level. Which treasure chest is the farthest away from sea level?



a 0.75 foot

b 5/4 feet

c -0.5 foot

1 foot

Answers

Answer:

Step-by-step explanation:

sea level means negative so it have to be C -0.5 foot

problem solved

Electrical Resistance The electrical resistance R of a wire varies inversely with the square of its diameter d. If a 25-foot wire with a diameter of 2 millimeters has a resistance of 0.5 ohm, find the resistance of a wire having the same length and a diameter of 3 millimeters.

Answers

Answer:

The answer is below

Step-by-step explanation:

The electrical resistance R of a wire varies inversely with the square of its diameter d:

R ∝ 1 / d

Let k represent the constant of proportionality, hence we can represent the statement as an equation:

[tex]R=\frac{k}{d^2}\\ \\when\ R=0.5 \Omega,d=2\ mm\\\\0.5=\frac{k}{2^2} \\\\k=2\\\\The\ equation\ becomes :\\\\R=\frac{2}{d^2}\\ \\When\ d=3, we\ find\ R\\\\R=\frac{2}{3^2} \\\\R=0.22\ \Omega[/tex]

Which Polygons are similar to A? PLEASE ANSWER QUICKLY

Answers

Answer:

B and C are similar to A but E is same as A.

Find the value of x.

(A) 16 (B) 41 (C) 5 (D) 25 (E) 66

Answers

Answer:

D. 25

Step-by-step explanation:

D. 25 is the correct answer....Hopes it helps you....Hopes to get BRAINLIEST.. .

Thank you ☺️☺️☺️

In my opinion answer is 25 or D

HI! Please answer this question! I'll mark as brainliest for whoever gets it right!

Answers

Answer:

32

Step-by-step explanation:

to get the area of a parallelogram you just do base times height

Question 8
A log with diameter 60 cm is 3 m in length its hollow centre is 20 cm in diameter.

Find the surface area of the log in cm', including the ends and the inside, correct to one decimal place.

Answers

Answer:

The surface area of the log including the ends and the inside is 80424.8 cm²

Step-by-step explanation:

To determine the surface area of the log with hollow center including the ends and the inside, we will find the surface area of the outer part of the log, surface area of the inner part of the log and the surface area of the two ends; and then sum everything up.

From the question,

Diameter of log = 60 cm

Length of log = 3 m = 300 cm

Diameter of hollow center = 20 cm

For the surface area of the outer part,

Area of the outer part = Circumference of the outer part × length

Circumference = 2πr = πd

∴ Area of the outer part = πd × l

(NOTE: d here is the diameter of the log)

d = 60 cm and l = 300 cm

Area of the outer part = 60π × 300 = 18000π cm²

For the surface area of the inner part,

Area of the inner part = Circumference of the inner part × length = πd × l

(NOTE: d here is the diameter of the hollow center)

d = 20 cm and l = 300 cm

Area of the inner part = 20π × 300 = 6000π cm²

For the surface area of one end

This is the difference between the area of the outer end and the area of the inner end

Here, we can determine the area by using

Area = πr², where r is the radius

Radius = Diameter / 2

Radius of outer end (R) = Diameter of log / 2 = 60cm / 2 = 30cm

Radius of inner end (r) = Diameter of hollow center / 2 = 20cm / 2 = 10 cm

∴ Surface area of one end = πR² - πr² = π(R²-r²)

= π (30²-10²)

= π (900 - 100)

= 800π cm²

This is the area of one end

For the two ends,

Area of the two ends = 2 × 800π cm² = 1600π cm²

Hence, the surface area of the log is 18000π cm² + 6000π cm² + 1600π cm²

Surface area of the log = 25600π cm²

Putting the value of π (π = 3.141592654)

Surface area of the log = 25600 × 3.141592654 cm²

Surface area of the log = 80424.77193 cm²

Surface area of the log = 80424.8 cm²

Hence, the surface area of the log including the ends and the inside is 80424.8 cm² (to one decimal place)

2. Solve in two ways
1/2 +1/4

Answers

Answer:

Step-by-step explanation: the first time you get 0.75 and the second time you get 0.125 hope this helped

Write a polynomial fx that satisfies the given conditions. Express the polynomial with the lowest possible leading positive integer coefficient.

Polynomial of lowest degree with lowest possible integer coefficients, and with zeros 5-32i and 0 (multiplicity 4).

f(x)=________

Answers

Answer:

Step-by-step explanation:

Find the question attached.

Given the zero of the polynomial 5+3i and 0, this means that (x-0) and (x-(5+3i)) are factors

Multiplying the factors together we have;

= x((x-(5+3i))

= x(x-5-3i)

= x²-5x-3xi

Hence the polynomial expression of the zeros is x²-5x-3xi

Write the equation of the line that passes through the points (-9, -3) and (-7, 7). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line. क Answer: Submit Answer attempt out of 2 Type here to search O in G​

Answers

Answer:

5x-y +42=0

Step-by-step explanation:

Using m=Y2- Y1

X2- X1

the slope of the line is found .

Put your answer in Y - Y1 = m( X - X1)

to get the equation

6th grade math teehehheeheeheheheheehe​

Answers

Answer:

i think it's the second one

Step-by-step explanation:

i am not sure if it is correct or not. i hope it helps!

It’s the second one ........

Use inductive reasoning to predict the next three numbers in the pattern.

Home

3, 5, 8, 13, 21, 34, ...

nents

Predict the next three numbers in the pattern.

3, 5, 8, 13, 21, 34,

Answers

Answer:

The next three terms are 55,89 and 144

Step-by-step explanation:

We want to predict the next three numbers in the pattern

3, 5, 8 , 13 , 21 , 34

The difference between two successive terms is written between them.

Thus, we have

3 2 5 3 8 5 13 8 21 13 34

So the rule here is to add the next term to the previous so as to get the next coming term

Thus, we have;

34 + 21 = 55

55 + 34 = 89

89 + 55 = 144

Use the limit definition to find an equation of a tangent line of f(x)= 1/(x-1) at the given point (2,1)

Answers

By "limit definition", I assume you mean the derivative. We have

[tex]f'(c) = \displaystyle\lim_{x\to c}\frac{f(x)-f(c)}{x-c}[/tex]

For [tex]f(x)=\frac1{x-1}[/tex] and c = 2, we have

[tex]f'(2)=\displaystyle\lim_{x\to2}\frac{\frac1{x-1}-1}{x-2}[/tex]

[tex]f'(2)=\displaystyle\lim_{x\to2}\frac{\frac{1-(x-1)}{x-1}}{x-2}[/tex]

[tex]f'(2)=\displaystyle\lim_{x\to2}\frac{2-x}{(x-1)(x-2)}[/tex]

[tex]f'(2)=\displaystyle\lim_{x\to2}\frac1{1-x}=-1[/tex]

The tangent line to (2, 1) has slope -1. Using the point-slope formula, it has equation

y - 1 = - (x - 2)

y = - x + 3

Express 27x81 as a power of 3

Answers

Answer:

3^7

Step-by-step explanation:

27 = 3^3

81 = 3^4

3+4 = 7

In 1-3, match each description with the correct graph. Not all graphs will be used.



1.

My graph is non-proportional with a negative y-intercept.

2.

My graph is proportional with a negative slope.

3.
My graph is non-proportional with a positive slope

Answers

Answer:

1. d

2. b

3. a

Step-by-step explanation:

1. d => "my graph is non-proportional with a negative y-intercept."

Rationale: it is non-proportional because it does not pass through the point of origin, (0, 0). And also, the line intercepts the y-axis at a point where the value of y is below the point of origin, 0. That gives us a negative y-intercept value.

2. b => "My graph is proportional with a negative slope."

Rationale: it is proportional because the straight line cuts through the point of origin, (0, 0). And also, the line slants downward from left to the right, thus, such downward slope gives us a negative slope value.

3. a => "My graph is non-proportional with a positive slope".

Rationale: it is does not cut across the point of origin, and also the slope slants upward from left to the right. Therefore, it is a non-proportional graph with a positive slope.

Use scientific notation to find the product of 7.13 × 10 -3 and 40.

Answers

Answer:

(7.13 × 10^-3) x 40 = 285.2 x 10^-3 = 2.9 x 10^-1

Step-by-step explanation:

I  think this is the answer i hope if it right or not but aleast I try on it .

Austin is paid a salary of $350 weekly. Find the Austin's earnings per year.

Answers

18243 is the answer I think.

Answer:

$18234

Step-by-step explanation:

if you can help would that would be amazing

Answers

Answer:

yes for the first one

because if you take number one for an example and use it for y

1^7*1^7*1^7=1 and 1^7*7*7=1

they both equal one

2.) [tex]\sqrt{x}[/tex]

[tex]\sqrt[3]{x}\sqrt[6]{x}=\:x^{\frac{1}{3}}x^{\frac{1}{6}}=\:x^{\frac{1}{3}+\frac{1}{6}}[/tex]

[tex]=x^{\frac{1}{3}+\frac{1}{6}}[/tex]

join 1/3+1/6= 1/2

then you get the answer

[tex]\sqrt{x}[/tex]

Step-by-step explanation:

brainlist pls:>


1 point
Translate the words to an algebraic expression. "The first integer plus the next consecutive integer plus the next consecutive integer."



Answers

Answer:

3x+3

Step-by-step explanation:

The given expression is "The first integer plus the next consecutive integer plus the next consecutive integer."

Let the first integer is x.

Next consecutive integer of x = x+1

Other next consecutive integer of x+1 = x+1+1=x+2

ATQ,

The expression is :

=x+x+1+x+1+1

=3x+3

Anyone help? Please I’ve tried -35 but the graph is just to ten

Answers

Answer:

f(x) is always 5.

Step-by-step explanation:

The formula has a fixed value. Y is the f(x) in the function, and since there is no X, then Y is as said: 5. For example, when X is -7, the f(x), or Y, is still 5, and so on.

RS¯¯¯¯¯¯ bisects ∠QRT. If m∠QRT = 116°, what is m∠QRS?

A. 26°
B. 232°
C. 64°
D. 58°

Answers

Answer:

D. 58

Step-by-step explanation:

pretty easy clap

bisecting is midpoint which makes the two angles congruent

Chase rode his roller skates around the block 5 times for a total of 1 mile yesterday. Today he wants to ride his roller skates 3/5 of a mile. How many times will he need to ride his roller skates around the block?

Answers

3 blocks, if he rides 5 blocks to equal a mile (5/5), then that means 3 blocks would equal (3/5)

To write the polynomial 3x3 + x2 − 8x5 + 2x3 − 4x in standard form, which terms should be combined? A. 3x3 and 2x3 B. 3x3, 2x3, and x2 C. x2 and −4x D. x2 and 2x3

Answers

Answer:

Option A. is correct

Step-by-step explanation:

Like terms are those terms that have same variables of same powers. Terms that are not like terms are said to be unlike terms.

For example [tex]2x^3,7x^3[/tex] are like terms and [tex]5x^2,9x^5[/tex] are unlike terms.

Given polynomial is [tex]3x^3+x^2-8x^5+2x^3-4x[/tex]

Like terms need to be combined to write the polynomial in standard form

Here, like terms are [tex]3x^3,2x^3[/tex]

Option A. is correct.

The coordinates of the point 3/10 of the way from A(-3,-8) to B(11,4) are ___?

Answers

Answer:

The coordinate of the point 3/10 of the way from A to B = (0.5, -4.4)

Step-by-step explanation:

to calculate the point 3/10 of the way from A to B, let us first find the difference in the coordinates of the point

Change in x coordinate: x₁ = -3,  x₂ = 11

= x₂ - x₁ = 11 - (-4) = 11 + 4 = 15

3/10 of 15 = 0.3 × 15 = 4.5

This means that the point on the x axis is 4.5 points away from x₁

= -4 + 4.5 = 0.5

Change y coordinate: y₁ = -8,   y₂ = 4

= y₂ - y₁ = 4 - (-8) = 4 + 8 = 12

3/10 of 12 = 0.3 × 12 = 3.6

This means that the point on the y axis is 3.6 points away from y₁

= -8 + 3.6 = -4.4

Therefore the coordinate of the point 3/10 of the way from A to B = (0.5, -4.4)

6. Find CA*

Please help it’s so confusing

Answers

Answer:

The answer is 19.

Step-by-step explanation:

3x+1+12=9x+1

3x+13=9x+1

13=6x+1

12=6x

x=2

3(2)+1+12=19

Answer:

CA = 19

Step-by-step explanation:

3x + 1 + 12 = 9x + 1

combine like terms

3x + 13 = 9x + 1

Subtraction property of equality

3x - 3x + 13 = 9x - 3x + 1

13 = 6x + 1

Subtraction property of equality

13 - 1 = 6x + 1 - 1

12 = 6x

Division property of equality

12/6 = 6x/6

2 = x

Symmetric property of equality

x = 2

Substitute x for 2

9(2) + 1 = 19

Please help me ! Find y

Answers

109° as an icoloces triangle (you can tell by the two lines) has 2 identical angels so the two bottom angels are the same and the angels on a straight line add up to 180°
180° - 71° = y(109°)

A union charges monthly dues of $6.00 plus $0.15 for each hour worked during the month. A union member's dues for March were $30.60. How many hours did the union member work during the month of March?

Answers

Answer:

4.5

Step-by-step explanation:

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