(b) In a company, out of 20 candidates 14 men and 6 women apply for two vacancies. What is the probability that (1) both men are selected ? (ii) both women are selected ? (iii) one man and one woman are selected ?​

Answer:

Hope it will help you...

Answer:

The  inverse of the function of f(x) = 4x is h(x) = x/4

Since f(x) = 4x, to obtain its inverse, we write f(x) = y

So, y = 4x.

We now divide both sides by 4. so, we have

y/4 = 4x/4

y/4 = x

Next, we replace x with y. So,

y/4 = x

x/4 = y

Next, we now replace y with f⁻¹(x) which is the inverse of f(x).

So, y = x/4

f⁻¹(x) = x/4

Since  f⁻¹(x) = h(x), replacing these, we have

h(x) = x/4

So, the  inverse of the function of f(x) = 4x is h(x) = x/4

Learn more about inverse of a function here:

https://brainly.com/question/10219387

Answer:

it will probably be 1/5

hope I am correct and sorry if not.

Answer:

Step-by-step explanation:

A∩B = 4

The Level of significance that determines the area of the critical region for a hypothesis test, should be chosen before the statistical test findings are evaluated, as to not allow biasing of the test results by the individuals conducting the hypothesis test. -  False

Level of significance is the" measurement of the statistical significance. It defines whether the null hypothesis to be accepted or rejected. It is expected to identify if the result is statistically significant for the null hypothesis to be false or rejected. The level of significance, also denote as alpha".

The Level of significance that determines the area of the critical region for a hypothesis test, should be chosen before the statistical test findings are evaluated, as to allow biasing of the test results by the individuals conducting the hypothesis test.

Hence, the given question is False.

To learn more about Level of significance here

https://brainly.com/question/4599596

#SPJ2

Answer:

Vertical asymptote is at [tex]x=-3[/tex]

Step-by-step explanation:

Let us plot the function

Here

[tex]\frac{x-5}{x^{2}-2x-15}=\frac{x-5}{(x-5)(x+3)}\\\\=\frac{1}{x+3}[/tex]

Function does not exits at [tex]x=-3[/tex]

Vertical asymptote is at [tex]x=-3[/tex]

According to the desired test, the hypothesis are given by:

D) H0: μ=210

Ha: μ ≠ 210

At the null hypothesis, it is tested if the population mean is of 210 lbs, that is:

[tex]H_0: \mu = 210[/tex]

At the alternative hypothesis, it is tested if the population mean differs from 210 lbs, that is:

[tex]H_a: \mu \neq 210[/tex]

Hence, the correct option is:

D) H0: μ=210

Ha: μ ≠ 210

A similar problem is given at https://brainly.com/question/25707631

Answer:

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

Step-by-step explanation:

→ Minus the 2 numbers from each other

[tex]-1\frac{1}{5} -1\frac{3}{10}[/tex]

→ Find the LCM

[tex]-1\frac{2}{10} -1\frac{3}{10}[/tex]

→ Simplify

[tex]-2\frac{5}{10} =-2\frac{1}{2}[/tex]

Answer:

The answer is y= 100 +15x

Step-by-step explanation:

You start with a service fee of $100

$15 per hour

x because the amount of hours can vary

y which is the total cost

y= 100+ 15x

Answer:

Joel can do 20 math problems in 90 seconds

He can do 1 math problem in 90/20 = 4.5 seconds

Now, Joel can do 32 math problems in

4.5×32

= 144 seconds

= 2 minutes 24 seconds

Step-by-step explanation:

Here I used the unitary method to sovle the question

Answer:

The answer is 13,200 feet.

Step-by-step explanation:

1 mile equals 5,280 feet, So all we have to do is multiply 5,280 by 2.5 miles.

5,280 * 2.5 = 13,200.

If you don't have a calculator you can multiply be splitting the parts.

5,280 * 2 = 10,560

+ 2,640 = 13,200

You get the 2,640 feet by dividing 5,280 by 2 because the 0.5 in 2.5 is half of a mile and 5,280 feet is a whole mile. Meaning that we have to cut the 5,280 in half to find the 0.5 in 2.5

Hope this helps! :)

૮ ・ﻌ・ა

Answer:

13200 feet. Guaranteed

Step-by-step explanation:

Answer:

[tex]y=\frac{1}{2} x+9.[/tex]

Step-by-step explanation:

1) all the perpendicular lines are: 2x-4y=C, where C - unknown number;

2) if to substitute the coordinates (-8;5) into 2x-4y=C, then C=2*(-8)-4*5= -36;

3) if C= -36, then the required equation is: 2x-4y=-36 or y=1/2 x +9.

Answer:

8

Step-by-step explanation:

Answer:

C is your answer for your question

Answer:

the +ve no. = 2

Step-by-step explanation:

let the number be x - 3

three more than a positive number = x

acc. to condition

x^{2}x

2

- 20 = x

x^{2} - x - 20 = 0x

2

−x−20=0

x^{2} - 5x + 4x - 20 = 0x

2

−5x+4x−20=0

x(x - 5) +4(x - 5) = 0x(x−5)+4(x−5)=0

(x+4)(x-5) = 0(x+4)(x−5)=0

Case 1

x + 4 = 0x+4=0

x = -4x=−4

the Number cannot be negative because the condition given in question

Case 2

x - 5 = 0x−5=0

x = 5x=5

Hence, the positive number

= x - 3=x−3

= 5 - 3=5−3

= 2=2 hope i help you

Answer: a

Step-by-step explanation:

Answer:

it's A

Step-by-step explanation:

Answer:

[tex]\dfrac 34 , \dfrac 23 , \dfrac 35[/tex]

Step-by-step explanation:

[tex]\dfrac 34 >\dfrac 23 >\dfrac 35[/tex]

Answer:

There are a couple different solutions to your equation:

[tex]x=0[/tex]

[tex]x=\sqrt[22]{\frac{13}{n}}[/tex]

[tex]x=-\sqrt[22]{\frac{13}{n}}[/tex]

[tex]\:n\ne \:0[/tex]

Answer:

4:1

Step-by-step explanation:

if we assume there are only two types of horses it would be 4 black horses per 1 white

Answer:

f(-18) = -5

Step-by-step explanation:

Substitute−18forxiny=

1/3 x+1:

y= 1/3x+1

y= 1/3(−18)+1

y=−5(Simplify both sides of the equation)

Answer:

3/50

Step-by-step explanation:

Answer:

0.06 is equal to 3/50.

Hope that helps. x

Answer:

Step-by-step explanation:

Domain means all the x's on the graph. The x's that you can literally see on the graph and for what you can't see it's all the x's you can put into the equation...for this graph, when you reflect it across the x-axis it is still the same shape, just a peak instead of a V. So the y's (range) are VERY different on the graph and its reflection. But the x's (that's the domain!) Are all still there, still on the graph, still allowed in the equation. See image

The domain of the function are all real numbers greater than or equal to 0.

Domain is the set of values for which the given function is defined.

Range is the set of all values which the given function can output.

If the graph is reflected over the x-axis, then we need to find domain of the function.

Domain means all the x values on the graph. The x values  that you can literally see on the graph and for what you can't see it's all the x values  you can put into the equation...for this graph.

when you reflect it across the x-axis it is still the same shape, just a peak instead of a V.

So the y values  (range) are VERY different on the graph and its reflection.

Therefore, The domain of the function are all real numbers greater than or equal to 0.

Learn more about appropriate domain here:

https://brainly.com/question/20073127

#SPJ2

Answer: 61 haircuts

Step-by-step explanation:

Answer:   i have never did a math problem like this before because i'm only in the 2nd semester of 7th grade but i will try, i think it is 2090

Step-by-step explanation: 5000 divided by 2 = 2500. then you do 2500-410. 2500-410= 2090.  (i hope this will help you and sorry if i did it wrong) :)

Answer:

c(1) = -15

c(n) = c(n - 1) + 4

Step-by-step explanation:

Given arithmetic sequence is,

-15, -11, -7, -3...........

Common difference between each successive and previous term is,

d = -11 - (-15)

 = -11 + 15

 = 4

Since recursive formula of the arithmetic sequence is represented by,

a₁ = First term of the sequence

a(n) = a(n - 1) + d

where a(n) is the nth term and a(n-1) is the previous term of the nth term.

Form the given sequence,

c₁ = -15

c(n) = c(n - 1) + 4

Step-by-step explanation:

Answer:

  x > 23/6

Step-by-step explanation:

Solve this one the same way you would a 2-step linear equation.

  6x +3 > 26 . . . . . given

  6x > 23 . . . . . . . . subtract the unwanted constant from both sides (step 1)

  x > 23/6 . . . . . . . .divide both sides by the coefficient of x (step 2)

__

Additional comment

If the coefficient of the variable in a 2-step linear inequality is negative, then the inequality symbol must be reversed when dividing by that negative number.

The statements that are true based on the scatter plot and the given equation of line of best-fit are:

Given that the correlation coefficient of -0.951, it suggests that the policy cost and ages of the men as shown in the scatter plot are strongly negatively correlated.

This means that, the lower the higher the age of the men, the lesser the cost of a car insurance policy.

The slope value in the equation, y = -315.67x + 8986.5, is -315.67, which is the average cost of a car insurance policy per year.

Therefore, the statements that are true based on the scatter plot and the given equation of line of best-fit are:

Learn more about line of best fit on:

https://brainly.com/question/17261411