Answer:
The average rate of change of <em>g</em> from <em>x</em> = <em>a</em> to<em> x</em> = <em>a</em> + <em>h</em> is -3.
Step-by-step explanation:
We are given the function:

And we want to determine its average rate of change of the function for <em>x</em> = <em>a</em> and <em>x</em> = <em>a</em> + <em>h</em>.
To determine the average rate of change, we find the slope of the function between the two points. In other words:

Simplify:

In conclusion, the average rate of change of <em>g</em> from <em>x</em> = <em>a</em> to <em>x</em> = <em>a</em> + <em>h</em> is -3.
This is the expected result, as function <em>g</em> is linear, so its rate of change would be constant.
Answer:
18- 300
20- 1,500
22- 300
Step-by-step explanation:
You can easily find the answer like this:
18. Multiply 60 and 100 together. The hundred is from 100%. After that, divide it by 20 because of the percent. After doing this, you should get 300.
20. 360*100=36,000 36,000/24= 1,500
22. 9*100=900 900/3=300
I hope this is what you were looking for. If you need more out of this, ask me to answer it again. :)
Answer:
£17.20
Step-by-step explanation:
A clothes shop has some special offers. ?
The normal price of a T-shirt is £7.40 The normal price of a jumper is £9.80.
T-shirts are buy one get one free Jumpers are 3 for 2.
How much does it cost to get 5 jumpers and 2 T-shirts using this offer as appropriate?
The cost of 2 T-shirts since it is a buy 1 get 1 free => £7.40
The cost of 5 jumpers =
You buy 3 Jumpers ,you get 2 jumpers free => £9.80
The total cost = £7.40 + £9.80
= £17.20
Answer:
a) 0.0167
b) 0
c) 5.948
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 6.16 ounces
Standard Deviation, σ = 0.08 ounces
We are given that the distribution of fill volumes of bags is a bell shaped distribution that is a normal distribution.
Formula:
a) Standard deviation of 23 bags

b) P( fill volume of 23 bags is below 5.95 ounces)
P(x < 5.95)
Calculation the value from standard normal z table, we have,
c) P( fill volume of 23 bags is below 6 ounces) = 0.001
P(x < 6) = 0.001
Calculation the value from standard normal z table, we have,


If the mean will be 5.948 then the probability that the average of 23 bags is below 6.1 ounces is 0.001.