Five applicants are to be scheduled for job interviews at five given times. On an application form, each applicant was asked to mark two out of the five times. What is the probability that each of them can be interviewed at one of the two times they have marked

Answer:

B. In Section P, the function is linear and increasing.

Step-by-step explanation:

Answer:

B. In Section P, the function is linear and increasing.

Answer:

[tex]A(t) = 1400(1 - e^{\frac{-t}{50}})[/tex]

Step-by-step explanation:

The net mass flow rate dA/dt = mass flow rate in - mass flow rate out

mass flow rate in = concentration of brine in × brine flow rate in = 4 lb/gal × 7 gal/min = 28 lb/min

Let A(t) be the amount of salt at time t. The concentration of salt in the tank at time, thus C = amount of salt/volume of tank = A(t)/700 lb/gal.

Since the well mixed solution is pumped out at a rate of 14 gal/min, the mass flow rate out = concentration of salt in tank × volume flow rate out = A(t)/700 lb/gal × 14 gal/min = m(t)/50 lb/min

So, dA/dt = mass flow rate in - mass flow rate out

dA/dt = 28 lb/min - A(t)/50 lb/min

dA/dt = 28 - A(t)/50

dA/dt = [1400 - A(t)]/50

separating the variables, we have

dA/[1400 - A(t)] = dt/50

integrating both sides, we have

∫dA/[1400 - A(t)] = ∫dt/50

-1/-1 × ∫dA/[1400 - A(t)] = ∫dt/50

1/-1 × ∫-dA/[1400 - A(t)] = ∫dt/50

-1 × ㏑[1400 - A(t)] = t/50 + C

-㏑[1400 - A(t)] = t/50 + C

㏑[1400 - A(t)] = -t/50 - C

taking exponents of both sides, we have

[tex]1400 - A(t) = e^{\frac{-t}{50} - C} \\1400 - A(t) = e^{\frac{-t}{50}}e^{-C}\\1400 - A(t) = Be^{\frac{-t}{50}} ( B = e^{-C}) \\A(t) = 1400 - Be^{\frac{-t}{50}}[/tex]

when t = 0, A(0) = 0. So,

[tex]A(t) = 1400 - Be^{\frac{-t}{50}}\\A(0) = 1400 - Be^{\frac{-0}{50}}\\0 = 1400 - Be^{0}\\0 = 1400 - B\\B = 1400[/tex]

So,

[tex]A(t) = 1400 - 1400e^{\frac{-t}{50}}\\A(t) = 1400(1 - e^{\frac{-t}{50}})[/tex]

Step-by-step explanation:

Total time taken=(30/24+12/8)

=(1.25+1.5)

=2.75 hrs

=165 minutes

=2 hrs and 45 minutes

formula used: v=d/t

or,d=v×t

or,t=d/v which is the master formula used in the solution of this problem.

If you are satisfied with my answer then please, give brainliest.

Answer:

64

Step-by-step explanation:

A square has 4 equal sides so all you have to do is divide 4 by 256. 256/4 is equal to 64. Therefore, the answer is 64 paving stones.

If this has helped please mark as brainliest

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

x^2−6x+9=5

Step 2: Subtract 5 from both sides.

x^2−6x+9−5=5−5

x^2−6x+4=0

Step 3:  a=1, b=-6, c=4

1x^2+−6x+4=0

Step 4: Quadratic formula (a) =1, b=-6, c=4

x= 6±√20 /2

Step 4: Last Step

x=3−√5

Explanation in words:

The first step of solving (x – 3)^2 = 5 is to use the quadratic formula. So the first step is to Simplify both sides of the equation which is the (x−3)^2. Our answer will led up to 5 after that.

Moving on to step 2 we will have to now subtract the 5 from both sides. So 5−5 = 0. So in this step, our answer is now led up to 0.

Now on the step 3 we will now have to use the formula named "quadratic formula". So in this case we will solve this equation with that formula       a=1, b=-6, c=4. At the end our answer will led up to x=3−√5.

Answer:

x=3+√5

x=3−√5

Hope this helps.

Answer:

Step-by-step explanation:

IG you wanted to solve for X ?   there are two answers ofc,  

x= 3-[tex]\sqrt{5}[/tex]

x=3+[tex]\sqrt{5}[/tex]

Answer:

Step-by-step explanation:

Angle A and 50 will combined have an angle of 180

Angle A = 180-50

Angle C is opposite of angle A and both will be equal. Same with Angle B and it's opposing Angle.

You got this!

Answer:

100

Step-by-step explanation:

When h has the value 25, the expression 4h has the value 4(25), or 100.

Answer:

100

Step-by-step explanation:

4(25)=100

Answer:

C, D and F

Step-by-step explanation:

Procedure:

9x+5=5x+21

4x+5=21 (subtract 5x)

4x=16 (subtract 5)

x=4 (divided by 4)

i dont know this questions

Answer:

0.1764

Step-by-step explanation:

This problem meets requirement that enables us to use the binomial probability relation :

Probability of success, p = 17% = 0.17

number of trials = 9

(1 - p) = 1 - 0.17 = 0.83

The binomial probability relation :

P(x = x) = nCx * p^x * (1 - p)^(n-x)

P(x = 3) = 9C3 * 0.17^3 * 0.83^6

P(x = 3) = 84 * 0.001606258054361897

P(x = 3) = 0.134925676566399348

P(x = 3) = 0.13492

P(x = 4) = 9C4 * 0.17^4 * 0.83^5

P(x = 4) = 126 * 0.000328992613544003

P(x = 4) = 0.041453069306544378

P(x = 4) = 0.04145

P(x = 3 or x = 4) = P(x = 3) + p(x = 4)

= 0.13492 + 0.04145

= 0.17637

= 0.1764

Answer:

A≈1385.44in²

Step-by-step explanation:

A=πr2=π·212≈1385.44236in²

Answer:

1384.74 inches.

Step-by-step explanation:

The formula for area of a circle is:

[tex]a=\pi *r^2(3.14*radius*radius)[/tex]

[tex]\pi =3.14, r=radius.[/tex]

According to the word problem, the radius of the circle is 21 inches.

Now, we can just plug the numbers into the formula.

[tex]\pi *21^2(3.14*21*21)=1384.74[/tex]

Therefore, the area of the circle is 1384.74 inches.

Answer:

circumference = 2πr

diameter = 3ft, so radius =3/2 =1.5

                       =2π ×1.5=3π= 9.42ft

Answer:

here diameter =3 ft

radius=diameter/2

=3/2

=1.5 ft

now use formula 2 pie r where pie =3.14

=2*3.14*1.5 ft

=9.42 ft

Step-by-step explanation:

Hope this helps u!!

(Hypotenuse)² = (Base)²+ (Perpendicular)²

Taking, Hypotenuse As H

Base As B

Perpendicular As P

_________________________

H²= B²+ P²

[tex](9 \sqrt{2} ) {}^{2} = x {}^{2} + {x}^{2} \\ \\ \implies \: 81 \times 2 = 2x {}^{2} \\ \\ \implies162 = 2x {}^{2} \\ \\ \implies \frac{162}{2} = x {}^{2} \\ \\ \implies \cancel\frac{162}{2} = x {}^{2} \\ \\ \implies81 = {x}^{2} \\ \\ \implies x = \sqrt{81} \\ \\ \implies \: x = 9[/tex]

Answer:

The volume of the pyramid is 126in^3

Step-by-step explanation:

To find the volume of a pyramid you need to use this formula which is

V=lw·h/3

V=9·6·7/3

V=54·7/3

V=126in^3

Answer:

Surface Area

Step-by-step explanation:

You are calculating the measurements for the surface of the prism. The interior is volume.

Answer:

Surface Area

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

[tex]\angle RPS = 3x + 12,\ \angle QPR = 7x + 88\ =>\ \angle QPS = 3x + 12 + 7x + 88 = 180[/tex]

[tex]3x + 12 + 7x + 88 = 180[/tex]

[tex]10x + 100 = 180[/tex]

[tex]10x = 80[/tex]

[tex]x = 8[/tex]

Answer:

10.5

Step-by-step explanation:

Answer:

1568cm²

Step-by-step explanation:

28cm + 28cm = 56cm

35cm + 21cm = 56cm

56 × 56 = 3136cm²

3136cm² ÷ 2 = 1568cm²

Answer:

Distance in ft = 597.57 feet

Step-by-step explanation:

As per the

First equation of motion

84 mph = 37.5514 m/s

45 mph = 20.1168 m/s

v-u = a* t

Substituting the given values, we get -

37.5514 m/s - 20.1168 m/s = a * 6.3

a = 2.76 m/s^2

Now as per Newton's third law of motion

v^2-u^2 = 2 *a*S

Substituting the given values, we get -

37.5514^2 - 20.1168^2 = 2 * 2.76 m/s^2 * S

S = 182.142 Meters

Distance in ft = 597.57 feet

Answer:

Step-by-step explanation:

Answer:

∠S = 151

Step-by-step explanation:

The figure shown is a pentagon

The angles in a pentagon add up to equal 540

Thus, ∠Q + ∠P + ∠T + ∠S + ∠R = 540

Or 10x - 3 + 5x + 2 + 7x - 11  + 13x - 31 + 8x - 19 = 540

This is the equation we will use to solve for x

Step 1 combine like terms

10x = 5x + 7x + 13x + 8x = 43x

-3 + 2 - 11 - 31 - 19 = -62

We now have 540 = 43x - 62

Step 2 add 62 to each side

-62 + 62 cancels out

540 + 62 = 602

we now have 602 = 43x

Step 3 divide each side by 43

43x / 43 = x

602 / 43 = 14

we're left with x = 14

Finally we plug in 14 for x in the given expression for ∠S

∠S = 13x - 31

* substitute 14 for x *

∠S = 13 ( 14 ) - 31

∠S = 13 * 14 = 182

182 - 21 = 151

Thus, ∠S = 151

The measure of ∠S is equal to 151°.

In mathematics, shapes define the perimeters or contours of an object. The forms can be categorized into numerous groups according to their individual traits. A border or outline made up of points, lines, curves, etc. frequently surrounds the forms.

As per the given data:

We are given the diagram of a shape and all its internal angles.

As the given shape is having 5 sides, it will be a pentagon.

The sum of all internal angles in a pentagon is equal to 540°.

∴ ∠P + ∠Q + ∠R + ∠S + ∠T = 540°

⇒ 10x - 3 + 5x + 2 + 7x - 11 + 13x - 31 + 8x - 19 = 540

= 43x - 62 = 540

= 43x = 602

x = 14

To find the measure of ∠S.

∠S = 13x - 31

∠S = 13(14) - 31

∠S = 151°

The measure of ∠S is equal to 151°.

To learn more about shape, click:

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Step-by-step explanation:

First u have to do the work of bracket and the solve

Answer:

-30

Step-by-step explanation:

0.6x+7=0.1x-8

0.6x-0.1x=-8-7

0.5x=-15

x=-15/0.5

x=-30

Answer:

For a data set of N elements:

{x₁, x₂, ..., xₙ}

The median is the middle value (or the average of the two middle values)

The average or mean is:

[tex]m = \frac{x_1 + ... + x_n}{N}[/tex]

The mode is the value that is more repeated.

The range is the difference between the largest value and the smallest value.

Now, let's try to construct two sets A and B that meet the required conditions:

Let's suppose two sets of 5 values each:

A = {2, 2, 3, 4, 5}

The median of A is 3.

The range of A is = 5 - 2 = 3

The average of A is: (2 + 2 +3 +4 +5)/5 = 16/5

And the value "2" appears two times, so the mode is 2.

Now, let's try to find a data set B such that:

The mode is smaller than 2  (so for example, we can have a "1" that repeats two times)

The median is smaller than 3 (let's have a median equal to 2)

The average is larger than 16/5

The range is larger than 3

This is ratter simple:

B = {1, 1, 2, 6, 9}

The median of B is 2.

The mode of B is 1

The range of B is: 9 - 1 = 8

The average of B is: (1 + 1 + 2 + 6 + 9)/5 = 19/5

So, we just found an example for two data sets A and B such that A has a greater median and mode, while B has a greater average and range.

So the answer is yes, it is possible.

Answer:

if you want to find perimeter you must do addition for the corners. For example on long side in the regtangle the number is 4. And the short side is 6. The one thing we must do is addition. Than the answer will be 10. You're welcome.