A committee is formed consisting of one representative from each of the 4 departments (CS-IS-IT-SW) in the computer science college, where the representative from a department is either the president or one of the two representatives from that department. How many ways are there to form this committee?

Using z-scores, we have that due to the higher z-score, the water bottling facility increased their efficiency more during that hour.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the facility with the higher z-score increased their efficiency more during that hour.

For the water bottling facility, we have that [tex]\mu = 33.5, \sigma = 1.92, X = 34.9[/tex], hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{34.9 - 33.5}{1.92}[/tex]

[tex]Z = 0.73[/tex]

For the cola bottling facility, we have that [tex]\mu = 26.2, \sigma = 1.42, X = 26.8[/tex], hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{26.8 - 26.2}{1.42}[/tex]

[tex]Z = 0.42[/tex]

Due to the higher z-score, the water bottling facility increased their efficiency more during that hour.

A similar problem is given at https://brainly.com/question/24663213

After how many minutes will the two pools have the same amount of water? 36 min.

How much water will be in each pool when they have the same amount? 2638 liters.

Explanation:

y=1900+20.5x

y=1351+35.75x

Let the time be t

[tex]\\ \sf\longmapsto 1900(1+\dfrac{20.5}{100})^t=1351(1+\dfrac{35.75}{100})^t[/tex]

[tex]\\ \sf\longmapsto 1900(\dfrac{120.5}{100})^t=1351(\dfrac{135.75}{100})^t[/tex]

[tex]\\ \sf\longmapsto 1900(1.2)^t=1351(1.35)^t[/tex]

[tex]\\ \sf\longmapsto \dfrac{1900}{1351}=\left(\dfrac{1.35}{1.2}\right)^t[/tex]

[tex]\\ \sf\longmapsto 1.4=(1.125)^t[/tex]

[tex]\\ \sf\longmapsto (1.125)^2.9=(1.125)^t[/tex]

[tex]\\ \sf\longmapsto t=2.9h[/tex]

Answer:

65 cows

Step-by-step explanation:

Inverse rule of three

[tex]45-------13\\x -------- 9[/tex]

[tex]x=\frac{(45)(13)}{9}=585/9=65[/tex]

Hope this helps

Answer: The price of the torch is 2 and 2/2.5 is 80% or 8/10th of the total price.

Step-by-step explanation:

x is the price of the battery

x + 1.50 is the price of the torch

x + (x + 1.50) is 2.50

x + (x + 1.50) = 2.50

2x = 2.50 - 1.50

2x = 1

x = 1/2

x = 0.50

The price of the torch is 2 and 2/2.5 is 80% or 8/10th of the total price.

Answer:

Calculate the mass of a body that is applied with a force that pushes the right side of 230 N and another force that pushes the left side of - 150N. Consider that the acceleration it acquires is 2 m / s2.

Step-by-step explanation:

230 e dos

Answer:

x = -7

Step-by-step explanation:

Eleven more than five times a number is equal to the difference between −38 and twice the number.

let x represent the number.

11 + 5x = -38 - 2x

7x +11 = -38.............add 2x to both sides

7x = -49................... subtract 11 from both sides

x = -7........................divide both sides by 7

Just because 2 things are related doesn't mean they will both be changed when one thing happens. For example steak and candy, just because they are both food doesn't mean they taste the same or interact with each other.

Answer:

Well following the order of operations

You just do this from left to right

11/15* 7/8 = 77/120

77/120 ÷ 3/4

or

77/120 * 4/3

77/90 (simplified)

77/90 is the answer

Answer:

49176000

I hope this helps.

Answer: 12√6

Step-by-step explanation:

Given the expression;

2√3 * 3√√8

= (2*3) * (√3*√8)

= 6 * (√24)

= 6 * √4*6

= 6 * (2√6)

= (6*2)√6

= 12√6

Therefore, the simplified form of the expression is 12√6.

Answer:

2_3_4_4/547767()9897568. thank

Answer:

b=2/3, b=10/3

Step-by-step explanation:

first equation

6-3b=4

6=4+3b

3b=2

b=2/3

second equation

6-3b=-4

10=3b

b=10/3

Answer:

Step-by-step explanation:

a) The height of the springboard above the water should be h(0) : Read, the height at t = 0

h(0) = -5(0) + 10(0) + 3

h(0) = 0 + 0 + 3

h(0) = 3

a) 3 meters

b)  The time it takes the diver to hit water should be, the positive 0 solution for t.  Remember, in a quadratic equation,  there are two values for t where a parabola crosses the horizontal axis, which in this case would be t.  Just by looking at the function, h(t) = -5t2 + 10t + 3 , one should be able to see that it cannot be factored easily, so it requires the Quadratic Formula to find the zeros ; x = -b ±√(b2-4ac)  / 2a

Substitute t for x, and use the coefficients for a, b, c:

t  =  (-10 ± √((102 - 4(-5)(3)))/2(-5)

t = (-10 ±√(100 + 60))/-10

t = (-10 ±√160)/-10) ; Now factor the 160 to simplify:

t = (-10 ±√(10*16))/-10

t = (-10 ±4√10)/-10 ; Factor out leading coefficient of -2 from the numerator:

t = -2(5 ± 2√10)/-10

t = (5 ± 2√10)/5

Using a calculator to find the zeros, and disregarding the negative zero (because t starts at 0):

t ≈ 2.265

b) approx. 2.265 seconds for diver to hit water.

c) To find this, set the function equal to 3 to find what other value for t would be equal to 3 (we know one is 0).

-5tt + 10t + 3 = 3

-5t2 + 10t = 0 ; factor out t

t(-5t + 10) = 0

We know t = 0:

We also know that -5t + 10 = 0

-5t = -10

t = 2

c) 2 seconds. This is the time that diver would equal height of t=0 which is where he started, and where he equals the height of the springboard.

d and e) The peak of the dive (parabola), is determined using the formula h = -b/2a (Derived from the Quadratic Formula) to find the y value (in this case, the h value, answering e) and then using that result in the function to find the x value (in this case, the t value answering d) of the point where the parabola (dive path) reaches a maximum(height), or minimum(in upward opening parabolas).

h = -10/2(-5)

h = -10/-10

h = 1

h(1) = -5(1)2 + 10(1) + 3

h(1) = -5 + 10 + 3

h(1) = 8

d) At t = 1 second, diver will have reached peak of dive.

e) At t = 1 second, diver will have reached a maximum height of 8 meters.

Answer:

c.7203

d.26244

Step-by-step explanation:

please mark me as brainliest

Answer:

[tex]3 \times 7 \times 7 \times 7 \times 7 = 3 \times {7 }^{4} = 7203[/tex]

[tex]2 \times 9 \times 9 \times 2 \times 9 = {2}^{2} \times {9}^{4} = 26244[/tex]

Answer:

I dont know the answer to it

Based on the information given, the number of tokens that will be bought if a child has $20 will be 70.

Since a child can buy 21 tokens for $6, the cost of one token will be:

= $6 / 21 = $0.2857143

Therefore, if a child has $20, the number of tokens that will be gotten will be:

= $20 / $0.2857143

= 70

Therefore, 70 tokens will be bought.

Read related link on:

https://brainly.com/question/25776703

Answer:

A and E

Step-by-step explanation:

Answer:

Number line D

Step-by-step explanation:

1 - 2x ≥ 3

Subtraact 1 from both sides

-2x ≥ 2

Multiply both sides by -1

When multiplying by a negative the inequality is reversed

2x ≤ -2

Divide both sides by 2

x ≤ -1

Number line D

Answer:

e would be 130 because its vertical angles and it has to add up to 180 so f would be 50 im not sure about d yet

Answer:

e = 130º it's a vertical angle

f = 50º it's supplementary to 130º

d = 90º it's a right angle

Answer:

Step-by-step explanation:

Mr. Anderson's rate is:

Given options, find rates and compare with the above number:

Step-by-step explanation:A(n)=−5+6(n−1)a, left parenthesis, n, right parenthesis, equals, minus, 5, plus, 6, left parenthesis, n, minus, 1, right parenthesis find the 12^\text{th}12 th 12, start superscript, t, h, end superscript term in the sequence

A(n)=−5+6(n−1)a, left parenthesis, n, right parenthesis, equals, minus, 5, plus, 6, left parenthesis, n, minus, 1, right parenthesis find the 12^\text{th}12 th 12, start superscript, t, h, end superscript term in the sequence

A sequence is an enumerated group of items in mathematics where repetitions are permitted and order is important. It has members, just like a set does. The length of the sequence is determined by the number of items.

To learn about sequence refer to:

https://brainly.com/question/1480398

#SPJ2

Answer:

edficycle cycle shop luisa sella otuff

Answer:

Step-by-step explanation:

Given:

First find g(- 2):

Find f(8):

g(-2):-

[tex]\\ \sf\longmapsto (-2)^2+4[/tex]

[tex]\\ \sf\longmapsto 4+4[/tex]

[tex]\\ \sf\longmapsto 8[/tex]

Now

[tex]\\ \sf\longmapsto f(x)=3x-8[/tex]

[tex]\\ \sf\longmapsto f(g(-2))=f(8)[/tex]

[tex]\\ \sf\longmapsto 3(8)-8[/tex]

[tex]\\ \sf\longmapsto 24-8[/tex]

[tex]\\ \sf\longmapsto 16[/tex]

Answer:

x = 7; y = 3

Step-by-step explanation:

I used the Trial and Error Method and found that x = 7 and y = 3

=> 7 + 3 = 10

=> 10 = 10. ✔

=> 7 - 3 = 4

=> 4 = 4. ✔

Therefore, x = 7 and y = 3

Hoped this helped.

Answer:

100 Degrees is the value of y.

Step-by-step explanation:

ALL triangles add up to 180 degrees, and in this figure, 40 degrees is on two of the 3 angles so, 40+40=80, 180-80=100.

100 Degrees = y

Answer:

The first five values are 12, 14, 16, 18 and 20

The recursive formula is as follow

Step-by-step explanation:

Since we need to find the first 5 values  we start with n = 1 to n = 5. Note that we don't start from n = 0 as the question states that  n ≥ 1.

For the first 5 values we just replace the value of n with 1, 2, 3, 4 and 5 and calculate the answer

The first five values are 12, 14, 16, 18 and 20

A recursive formula is one that

a) Mentions the initial term

b) provides a formula connecting the previous term to the existing term.

Since we know the first term is 12, i.e  and we know that the difference between consecutive terms is 2 we can conclude that the recursive formula is made up of the following two formulas

The over all formula is as follow

Step-by-step explanation:

Hope this helps:)

Answer:(x-3)² + (y-2)² = 25

Step-by-step explanation:

A circle's equation is (x-h)² + (y-k)² = r². When centered at the origin, h and k equal 0. If you shift the circle, say, one unit up, then k equals 1, and the equation is x² + (y-1)² = r².

So for your circle, the equation would be (x-3)² + (y-2)² = 5² or (x-3)² + (y-2)² = 25.

Answer:

(x - 3)² + (y - 2)² = 25

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

Here (h, k ) = (3, 2 ) and r = 5 , then

(x - 3)² + (y - 2)² = 5² , that is

(x - 3)² + (y - 2)² = 25 ← equation of circle

Answer:

911,250

Step-by-step explanation:

4050 · 225 = 911,250