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2 years ago

Which is the rate of change for the interval between 3 and 6 on the x-axis? 0-2

Mathematics

1 answer:

Hunter-Best [27]2 years ago

8 0

Image is missing, so i have attached it.

Answer:

Rate of change = 2

Step-by-step explanation:

From the image attached, we are given a parabola which opens upwards with many points marked on the curve.

We are asked to find the rate of change for the interval between 3 and 6 on the x axis.

Now, rate of change of any function f(x) from a to b is given by the formula ;

Rate of change = [f(b) - f(a)]/(b - a)

For this question, a = 3 and b = 6

f(3) is simply the y-value when x is 3. On the graph, f(3) = -2

Similarly,f(6) = 4

Thus;

Rate of change = [4 - (-2)]/(6 - 3)

Rate of change = 6/3

Rate of change = 2

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Suppose a marketing company computed a 94% confidence interval for the true proportion of customers who click on ads on their sm

Ksivusya [100]

Answer:

d. There is a 98% chance that the true proportion of customers who click on ads on their smartphones is between 0.56 and 0.62.

Step-by-step explanation:

Confidence interval:

x% confidence

Of a sample

Between a and b.

Interpretation: We are x% sure(or there is a x% probability/chance) that the population mean is between a and b.

In this question:

I suppose(due to the options) there was a small typing mistake, and we have a 98% confidence interval between 0.56 and 0.62.

Interpreation: We are 98% sure, or there is a 98% chance, that the true population proportion of customers who click on ads on their smartphones is between 0.56 and 0.62. Option d.

3 0

2 years ago

Pecans that cost $28.50 per kilogram were mixed with almonds that cost $22.25 per kilogram. How many kilograms of each were used

atroni [7]

Answer:

The pecans used in the mixture = 8 kg

The almonds used in the mixture = 17 kg

Step-by-step explanation:

The cost of per kg of pecans = $28.50

The cost of per kg of almonds = $22.25

Now, total weight of mixture = 25 kg

Let us assume the weight of pecans in the mixture = m kg

So, the amount of almonds in the mixture = Total weight - Weight of Pecans

= (25 - m) kg

Now, cost of m kg pecans = m x ( cost of 1 kg pecans) = m x ( $ 28.50)

= 28.50 m

cost of (25- m) kg almonds = (25 -m) x ( cost of 1 kg almonds)

= (25 - m) x ( $ 22.25)

= 556.25 - 22.25 m

Total cost of 25 kg of mixture = 25 x ( $24.25) = $606.25

Now, Total Cost of (almonds + Pecans) = Total cost of mixture

⇒28.50 m + 556.25 - 22.25 m = $606.25

or,6.25 m = 50

or, m = 50/6.25 = 8

Hence, the pecans used in the mixture = m = 8 kg

And the almonds used in the mixture = (25 - m) = 25 - 8 = 17 kg

5 0

2 years ago

The amount of rhubarb in the original recipe is 3 1/2 cups. Using what you know of whole numbers and what you know of fractions,

Alexxx [7]

The easiest way, I think, is to convert the mixed number into an improper fraction, then multiply by 3.
3 1/2 = 7/2
7/2 · 3 = 21/2
now just change the improper fraction back to a mixed number by dividing and putting the remainder into fraction form
21/2 = 10 1/2

You could also multiply the whole number by 3 and the fraction by 3, ending up with 9 3/2, but then have to convert the improper fraction into a mixed number
3/2 = 1 1/2
then add the numbers together
9 + 1 1/2 = 10 1/2
either way works, whatever is easiest for you.

8 0

2 years ago

a) As a student, you are able to earn extra money by assisting your neighbors with odd jobs. If you charged $10.25 an hour for y

inna [77]

ABout 821.95 hours. 8,425 divided by 10.25 is 821.95

7 0

2 years ago

.002 is 1/10 of what

8_murik_8 [283]

This uses the concept of proportions.

.002 converted to a fraction is 2/1000, or 1/500.

We set up the proportion like so:
10/100 = .002/x
Solve for x.

Cross-multiply.
10 * x = .002 * 100
10 * x = .2
x = .2 / 10
x = .02

The answer is .02

3 0

2 years ago