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suter [353]
2 years ago
7

a computer shop charges 20 pesos per hour (or a fraction of an hour) for the first two hours and additional 10 pesos per hour fo

r each succeeding hour. find how much you would pay if you used one of their computers for 40 minutes. show solutions.​
Mathematics
1 answer:
Serhud [2]2 years ago
7 0

Answer:

The equation for the price, as a function of time in hours is:

P(x) = 20*x    for 0 ≤ x ≤ 2

P(x) = 40 + 10*(x - 2)  for  2 ≤ x

Now, we want to evaluate this function in 40 mins.

we know that 1 hour = 60mins.

Then 40 mins = (40/60) hours = 0.67 hours.

Then we input this in our function, and because this is smaller than 2, we use the first piece of our function:

P(0.67) = 20*0.67 = 13.4

So in 40 mins, the charge will be 13.4 pesos.

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A large restaurant is being sued for age discrimination because 15% of newly hired candidates are between the ages of 30 years a
Fudgin [204]

Answer:

See explanation below.

Step-by-step explanation:

Let's take P as the proportion of new candidates between 30 years and 50 years

A) The null and alternative hypotheses:

H0 : p = 0.5

H1: p < 0.5

b) Type I error, is an error whereby the null hypothesis, H0 is rejected although it is true. Here, the type I error will be to conclude that there was age discrimination in the hiring process, whereas it was fair and random.

ie, H0: p = 0.5, then H0 is rejected.

7 0
2 years ago
What's the angle of x?
vichka [17]

Answer:

60 as corresponding and alternate angles r equal

Step-by-step explanation:

3 0
1 year ago
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What is the quotient (2x4 – 3x3 – 3x2 + 7x – 3) ÷ (x2 – 2x + 1)?
MrRa [10]

Answer:

Quotient: 2x^2+x-3

Please see the attachment.

Step-by-step explanation:

Given: (2x^4-3x^3-3x^2+7x-3)\div (x^2-2x+1)

We are given rational expression and need to find quotient.

Using long division method to find the quotient.

First we get rid of 2x^4 by x^2

x^2-2x+1 ) 2x^4-3x^3-3x^2+7x-3 ( 2x^2+x-3

                 -2x^4+4x^3-2x^2

                              x^3-5x^2+7x

                               -x^3+2x^2-x

                                      -3x^2+6x-3

                                      3x^2-6x+3

                                              0

Hence, The quotient of division is 2x^2+x-3

8 0
2 years ago
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If the area of the rectangle is 120, what is the area of triangle cpd
zimovet [89]

Answer:

Step-by-step explanation:

area of rectangle=120

find area of CPD

area=1/2  (area of the rectangle)

area =  1/2×120=60

5 0
2 years ago
Which is the best approximation for the solution of the system of equations? y = A system of equations. y equals negative StartF
Alla [95]

Answer:

(0.88, 0.65)

Step-by-step explanation:

Given that the two equations of the line are:

y =( -2/5)x + 1 and  y = 3x – 2. To find the solution, we have to solve the equations simultaneously.

y =( -2/5)x + 1       .             .            .      1)

y = 3x – 2             .            .             .      2)

Subtracting equation 1 from equation 2:

3.4x -3 = 0

3.4x = 3

Dividing through by 3.4

3.4x/3.4 = 3/3.4

x = 0.88

To find y, substitute x = 0.88 in equation 2:

y = 3(0.88) - 2

y = 2.65 - 2

y = 0.65

This means that the solution to the system of equations is the point of intersection of the two lines which is at (0.88, 0.65)

7 0
2 years ago
Read 2 more answers
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