Out of 475 applicants for a job, 240 have 10 years experience and 83 have over 10 years experience and a graduate degree. what is the probability that a randomly chosen applicant has a graduate degree given that they have over 10 years of experience?

Answers

Answer 1

Answer:

Step-by-step explanation:

Could this be a tricky question? See the point:

240 have 10 years experience (exactly)and 83 have over 10 years experience and a graduate degreeCombining 1 and 2 the answer is 1

Though it's inlikely that the first 240 people have only 10 years. Don't take this answer very seriously

Related Questions

Eric is 8 years 4 months old. his mother is 40 years 3 months old. how old was his mother when eric was born?

Answers

Answer:

Eric´s mom had:

31 years 11 months

Step-by-step explanation:

1 year = 12 months

40 years = 39 years + 12 months

40 years 3 months = 39 years + 12 monts + 3 monts = 39 years 15 months

Then:

40 years 3 months

- 8 years 4 months

it´s equivalent to:

39 years 15 months

- 8 years 4 months

= 31 years 11 monts

The probability distribution for a
random variable x is given in the table.
-10
-5
15
20
Probability
.20
15
.05
.15
Find the probability that x ≥ 5

Answers

Answer:

Step-by-step explanation:

Comment

There is only 1 number under probability that is greater than or equal to 5. That number is 15

There are 4 possible answers. Only 1 is successful.

Answer: P(y≥5) = 1/4 or 0.25

I'm gonna need so help

Answers

Answer:

-4 and -6 are the answers

Describe all of the transformations occurring as the parent function f(x) = x^3 is transformed into g(x) = -0.5(3(x+4))^3 -8

Answers

Step-by-step explanation:

The translations of the typical functions are

[tex]y = a(bx + c) + d[/tex]

Where a is the vertical translation,

If a is greater than 1 or less than -1, we have a vertical stretch

If a is between -1 and 1 , we have a vertical compressions or shrink.

If a is negative, we have a negative reflection across the x axis.

If b is greater than 1 or less than -1, we have a horizontal compression or shrink

If b is between -1 and 1, we have a horizontal stretch

If b is negative, we have a reflection about the y axis,

If c is negative, we have a translation to the right c units

If c is positive, we have a translation to the left c units

If d is positive, we have a translation upward d units

If d is negative, we have a translation downward d units.

Here in this problem, our parent function is x^3.

So I would do the following transformations.

Reflect about the x axis Vertical Shrink by a factor of 1/2Horizontal Shrink by a factor of 3Shift to the left 4 unitsShift downward 8 units.

Which number has a repeating decimal form?
O A.
[tex] \sqrt{15} [/tex]

OB.
[tex] \frac{11}{25} [/tex]

O C.
[tex] \frac{3}{20} [/tex]

O D.
[tex] \frac{2}{6} [/tex]

Answers

Answer:

D. [tex] \frac{2}{6} [/tex]

Step-by-step explanation:

2÷ 6 = 0.33333

As you can see 3 is repeating.

Therefore [tex] \frac{2}{6} [/tex] as repeating decimal form.

Please help asap
What is the domain and range of T

Answers

Answer:

Domain = {-3, -2}Range = {-4, -3, 4}

Step-by-step explanation:

The domain is the set of x-values, and the range is the set of y-values.

Which of the following is equivalent to the
complex number ;³¹?
Choose 1 answer:
A
B
C
D
1
i
-1
-i

Answers

Step-by-step explanation:

[tex] = {i}^{31} [/tex]

[tex] = {i}^{28} \times {i}^{3} [/tex]

[tex] = {( {i}^{4} )}^{7} \times ( {i}^{2} \times i)[/tex]

[tex] = ( {i}^{2} \times {i}^{2} ) {}^{7} \times {i}^{2} \times i[/tex]

[tex] = ( - 1 \times ( - 1)) {}^{7} \times ( - 1) \times i[/tex]

[tex] = {1}^{7} \times ( - i)[/tex]

[tex] = 1 \times ( - i)[/tex]

[tex] = - i[/tex]

The answer is D.

Which of the following is an example of a quadratic equation?
A. y = 216+6
B. x²-64 = 0
C. y = 4x+6
D. x+10 = 33

Answers

Answer: B

Step-by-step explanation:

A quadratic equation has degree 2.

If the inspection division of a county weights and measures department wants to estimate the mean amount of

Answers

If inspection department wants to estimate the mean amount with 95% confidence level with standard deviation 0.05 then it needed a sample size of 97.

Given 95% confidence level, standard deviation=0.05.

We know that margin of error is the range of values below and above the sample statistic in a confidence interval.

We assume that the values follow normal distribution. Normal distribution is a probability that is symmetric about the mean showing the data near the mean are more frequent in occurence than data far from mean.

We know that margin of error for a confidence interval is given by:

Me=[tex]z/2* ST/\sqrt{N}[/tex]

α=1-0.95=0.05

α/2=0.025

z with α/2=1.96 (using normal distribution table)

Solving for n using formula of margin of error.

[tex]n=(z/2ST/Me)^{2}[/tex]

n=[tex](1.96*0.05)^{2} /(0.01)^{2}[/tex]

=96.4

By rounding off we will get 97.

Hence the sample size required will be 97.

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The given question is incomplete and the full question is as under:

If the inspection division of a county weights and measures department wants to estimate the mean amount of soft drink fill in 2 liters bottles to within (0.01 liter with 95% confidence and also assumes that standard deviation is 0.05 liter. What is the sample size needed?

The table gives the average monthly precipitation, in inches, in Seattle, Washington, from January through July, where January is month 1 and July is month 7. How would you describe the relationship between the variables in the data? Select all that apply.

There is a linear association between the month and average monthly precipitation.

There is a nonlinear association between the month and average monthly precipitation.

As the number of months increases, the average monthly precipitation, in inches, increases.

As the number of months increases, the average monthly precipitation, in inches, decreases.

Answers

The relationship between the variables in the data will be as the number of months increases, the average monthly precipitation, in inches, decreases. Then the correct option is D.

What is a function?

A statement, principle, or policy that creates the link between two variables is known as a function.

The table gives the average monthly precipitation, in inches, in Seattle, Washington, from January through July, where January is month 1 and July is month 7.

Month 1 2 3 4 5 6 7

Average monthly precipitation 5.2 3.9 3.3 2.0 1.6 1.4 0.6

Then the relationship between the variables in the data will be as the number of months increases, the average monthly precipitation, in inches, decreases.

Then the correct option is D.

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Which expression is equivalent to
(Q^5)^2

Answers

The correct value that equates to this expression is q¹⁰

To solve this expression, just:

eliminate the parentheses and multiply the exponents among themselves;[tex] \boxed{ \large \sf (a {}^{n} ) {}^{m} \rightarrow a {}^{n \times m} } \\ \\ [/tex]Resolution

[tex]{ = \large \sf (q {}^{5} ) {}^{2} } [/tex]

[tex]{ = \large \sf q {}^{5 \times 2} } [/tex]

[tex] \pink{ \boxed{ = \large \sf q {}^{10} } } \\ [/tex]

Therefore, the answer will be q¹⁰

Answer:

Q¹⁰

Step-by-step explanation:

Given that,

(Q⁵)^2

Solution:

Well,there is a law of exponents,which states that:

(a^b)^c = a^bc

Same case is here as well.

Just multiply both powers given.

(Q⁵)²

5*2 = 10

Q¹⁰

Hence, the expression equivalent to (Q⁵)² is (Q)¹⁰

Which form of controls are effective in eliminating, reducing, or minimizing hazards, which eventually help in reducing or even eliminating the need for ppe?.

Answers

The form of controls that are effective in eliminating, reducing, or minimizing hazards is called; Engineering controls

What are engineering controls?

Engineering controls are defined as strategies that are designed to protect workers from hazardous conditions by placing a barrier between the worker and the hazard or by removing a hazardous substance through air ventilation.

Now, the reason why this is effective in eliminating, reducing, or minimizing hazards is because they are designed to remove the hazard at the source, before it comes in contact with the worker.

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One third of a number less than nine equal to seven

Answers

Answer: The equation is given by: 9- 1/3x = 7
Step-by-step explanation:
Let the number be denoted by x.
Now, we are given a word phrase as follows one-third of a number less than nine is equal to seven.
Now this word phrase could be mathematically expressed as a equation by: one third of x is 1/3 x
And this number less than 9 is given by :

9- 1/3x

Now, this number is equal to 7.
I.e. we finally have:
9- 1/3x = 7

It is equal to 7
The person who answered is correct

The graph of the function f(x) = (x-3)(x + 1) is shown.
-10-8-6
q
10-

Which describes all of the values for which the graph is
positive and decreasing?
all real values of x where x < -1
all real values of x where x < 1
all real values of x where 1 O all real values of x where x > 3

Answers

Answer:

x < -1

Step-by-step explanation:

Draw a parabola (the graph) passing trough two x-intercepts -1 and 3 and open up.

explain please thanks :)

Answers

Answer:

Step-by-step explanation:

The question is saying, how many three digit numbers can be made from the digits 3, 4, 6, and 7 but there can't be two of the same digit in them. For example 346 fits the requirements, but 776 doesn't, because it has two 7s.

Okay, on to the problem:

We can do one digit at a time.

First digit:

There are 4 digits that we can choose from. (3, 4, 6, and 7)

Second digit:

No matter which digit we chose for the first digit, there is only going to be 3 of them left, because we already chose one, and you can't repeat that same digit. So there are 3 options.

Third digit:

Using the same logic, there are only 2 options left.

We have 4 choices for the first digit, 3 choices for the second, and 2 for the third.

Hence, this is 4 * 3 * 2 = 24 three-digit numbers that can be made.

Drag each tile to the correct location. The labels can be used more than once.

Match each polynomial expression with its degree.

0, 1, 2

Answers

The degrees of each expression will be (x-9) degree 1, -4x²-6x+9 degree 2, x²-2x+9 degree 2, -3 degree 0, 3x-2 degree 1, 6x+2 degree 1 and 5 degree 0.

What is the degree of a polynomial?

The degree of the polynomial is defined as the highest power of the variable of the given polynomial or it is the maximum power of the polynomial.

The degree of the given expressions are shown as follows:-

(x-9) → degree 1,

(-4x²-6x+9) → degree 2,

(x²-2x+9) → degree 2,

(-3) → degree 0,

(3x-2) → degree 1,

(6x+2) → degree 1

(5) → degree 0.

Therefore the degrees of each expression will be (x-9) degree 1, -4x²-6x+9 degree 2, x²-2x+9 degree 2, -3 degree 0, 3x-2 degree 1, 6x+2 degree 1 and 5 degree 0.

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If g(x) is the inverse of f(x), what is the value of f(g(2))?
0-6
O-3
02
O 5

Answers

Answer:

Step-by-step explanation:

When a function and its inverse are composed, the output is equal the input.

PLEASE HELP ME WITH THIS

Answers

Answer:

Vertex

Vertex are the end points of parabola where it opens up

locus are the group of points

latus rectum is the line parallel to it .

Question 4 (Essay Worth 10 points)
(05.06; 05.07 MC)

A prism and two nets are shown below:

Image of a right triangular prism and 2 nets. The triangle bases have base 4, height 3, and diagonal side 5. The length of the prism from the bases is 8.6. Net A has 3 rectangles in a row. The middle one has sides AC and CD. This middle one has triangle ABC on top and identical triangle below. Net B is the same except that the triangle base ABC is on top of the last rectangle which has sides AC and CD. Units are in inches.

Part A: Which is the correct net for the prism? Explain your answer. (2 points)

Part B: Write the measurements of Sides AB, BC, and CD of the correct net. (4 points)

Part C: What is the surface area of the prism? Show your work. (4 points)

Answers

Answer:

115.2 in^2

Step-by-step explanation:

total surface area Stot = 113.2 in2

lateral surface area Slat = 103.2 in2

top surface area Stop = 6 in2

bottom surface area Sbot = 6 in2

3x-1=2(x+34) in inches=feet. inches

Answers

Answer:

-69

Step-by-step explanation:

inches:-69

-5 9/12 (-5 3/4 clearer) feet

Explanation in detail:

Write the equation down and distribute it.

3x - 1 = 2(x + 34)

3x - 1 = 2x + 68

Remove the variable on one side first (it makes solving the equation less complicated.)

3x - 1 = 2x + 68

-3x -3x

-1 = -x + 68

On all sides, subtract 68.

-1 = -x + 68

-68 -68

-69 = x

I'm guessing the answer in feet and inches is...

inches:-69

-5 9/12 (-5 3/4 simplified) feet

Which expression is equivalent to 7a³ (8a² + a)²-4a³?
Simplify.

Answers

[tex]7a³ (8a² + a)²-4a³ \\ \\ 7 {a}^{3}(8 { {a}^{2} + a)(8 {a}^{2} + a )} - 4 {a}^{3} \\ \\ 7 {a}^{3} ( {8a}^{2} (8 {a}^{2} + a ) + a(8 {a}^{2} + a ) - 4 {a}^{3} \\ \\ 7 {a}^{3} (64 {a}^{4} + 8{a}^{3} + 8 {a}^{3} + {a}^{2} ) - 4 {a}^{3} \\ \\ 7 {a}^{3} (64 {a}^{4} + 16 {a}^{3} + {a}^{2} ) - 4 {a}^{3} \\ \\ 448 {a}^{7} + 112 {a}^{6} + 7 {a}^{5} - 4 {a}^{3} \\ \\ {a}^{3} (448 {a}^{4} + 112 {a}^{3} + 7 {a}^{2} - 4).[/tex]

PLEASE ANSWER ASAP!!!!!!!!
Consider △ABC, where a = 8, c = 11, and m∠C=33∘.

What are the measures of the missing angles and missing side?

Enter your answer by filling in the boxes. Enter all values rounded to the nearest tenth.

m m b=

Answers

The missing side and angles are 16.8 , 23.33 degree and 123.7 degree respectively.

What is a Triangle ?

Triangle is a polygon with three sides , three angles and three vertices.

Given is triangle ABC , with sides a = 8, c = 11, and m∠C=33 degree

The missing angle and side is given by Cosine rule of triangle

c² = a² + b² - 2ab cosC

11² = 8² + b² - 2* 8 * b * cos 33

57 = b² -13.42 b

b² -13.42b -57 = 0

b = 16.8

By sine rule

a / sin A = b/sin B = c/sinC

8 / sin A = 11 / sin 33

A = 23.33 degree

Similarly

B = 123.7 degree

Therefore the missing side and angles are 16.8 , 23.33 degree and 123.7 degree respectively.

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What is the missing reason in the proof?

Given: ∠ABC is a right angle, ∠DBC is a straight angle
Prove: ∠ABC ≅ ∠ABD

Answers

Answer: Since they have the some points in common we can just plot them and seeing ang. DBC would just be a straight line and angle ABC would be 90 degrees and half of that angle so they would be equal

A locker combination consists of two nonzero digits, and each combination consists of different digits. Event A is defined as choosing an odd number as the first digit, and event B is defined as choosing an odd number as the second digit.
If a combination is picked at random, with each possible locker combination being equally likely, what is P(A and B) expressed in simplest form?

A. 5/18
B. 4/9
C. 1/2
D. 5/9

Answers

The correct answer is option B which is P ( A|B) will be ( 4 / 9 ).

What is probability?

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Given that:-

A locker combination consists of two nonzero digits, and each combination consists of different digits. Event A is defined as choosing an odd number as the first digit, and event B is defined as choosing an odd number as the second digit.

The total sample will have 9 numbers

S = { 1,2,3,4,5,6,7,8,9} = 9

Even Number = { 2,4,6,8} = 4

Odd Number = { 1,3,5,7,9} = 5

P ( A ) = ( 4 / 9 )

P ( B ) = ( 5 / 9 )

The probability will be calculated as:-

P( A:B ) = [tex]\dfrac{P(A)\times P(B)}{P(B)}[/tex]

P( A:B ) =[tex]\dfrac{( 5/9 ) ( 4/9 )}{5 / 9 }[/tex]

P( A:B ) = 4 / 9

Therefore the correct answer is option B which is P ( A|B) will be ( 4 / 9 ).

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Solve for X
picture below

Answers

X= -4.
Explanation u make it equivalent to 4^3x=4^4(x+1) then u solve it to 3x=4(x+1) which equals x=-4

Find the length of diagonal BC of ABCD to the nearest hundredth.

Answers

The length of BC as shown in the diagram is 6.32units

Calculating distance between two points

The formula for calculating the distance between two points is expressed as:

D = √(x2-x1)²+(y2-y1)²

Given the following coordinate points (3, 6) and (5, 0)

Substitute

BC = √(0-6)²+(5-3)²

BC = √(36+4)

BC = √40

BC = 6.32 units

Hence the length of BC as shown in the diagram is 6.32units

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f(x) = 3x + 2
g(x) = x^2 + 1
find gf(x) in the form ax^2 + bx + c

please add an explanation because i’ve seen it being solved i just do not understand some steps

like, where does 12x come from

Answers

Answer:

g(f(x)) = 9x² + 12x + 5

Step-by-step explanation:

g(f(x))

= g(3x + 2) ← substitute x = 3x + 2 into g(x)

= (3x + 2)² + 1

to expand (3x + 2)² = (3x + 2)(3x + 2)

each term in the second factor is multiplied by each term in the first factor

3x(3x + 2) + 2(3x + 2) ← distribute both parenthesis

= 9x² + 6x + 6x + 4 ← collect like terms

= 9x² + 12x + 4

then

g(f(x)) = (3x + 2)² + 1 = 9x² + 12x + 4 + 1 = 9x² + 12x + 5

(5x-1) -(2-8x) for x = 0.75

Answers

6.75 is the answer to your question

there are 3 red pens, 4 blue pens, 2 Blac pens, and 5 green pens in drawer, suppose you choose a pen at random

help :(:

Answers

Answer:

1. 3/14

2. 2/7

3. 1/7

4. 5/14

5. 11/14

6. 9/14

Step-by-step explanation:

first get the total number of pens

3 red pens + 4 blue pens + 2 black pens + 5 green pens =

14 total number of pens

1. What is the probability that the pen chosen red?

3 red pens out of a total of 14 pens = 3/14

2. What is the probability that the pen chosen is blue?

4 blue pens out of a total of 14 pens = 4/14 -> simplified -> 2/7

3. What is the probability that the pen chosen is black?

2 black pens out of a total of 14 pens = 2/14 -> simplified -> 1/7

4. What is the probability that the pen chosen is green?

5 green pens out of a total of 14 pens = 5/14

5. What is the probability that the pen chosen is NOT red?

of the 3 red pens, 4 blue pens, 2 black pens and 5 green pens

4 blue pens, 2 black pens and 5 green pens are NOT red

4 blue pens + 2 black pens + 5 green pens =

11 total number of pens that are NOT red

11 total number of pens that are NOT red out of a total of 14 pens = 11/14

6. What is the probability that the pen chosen is NOT green?

of the 3 red pens, 4 blue pens, 2 black pens and 5 green pens

the 3 red pens, 4 blue pens, 2 black pens are NOT green

3 red pens + 4 blue pens + 2 black pens =

9 total number of pens that are NOT green

9 total number of pens that are NOT green out of a total of 14 pens = 9/14

gathmath.com

Given :-

Red pens = 3Blue pens = 4 Black pens = 2 Green pens = 5

>> Total no. of outcomes = 3 + 4 + 2 + 5

>> Total no. of outcomes = 3 + 4 + 7

>> Total no. of outcomes = 10 + 4

>> Total no. of outcomes = 14

Solution 1 :-

We know,