The functions in order from least to greatest according to their average rates of change are function f at the interval [1,2], function h at the interval [0,2] and function g at the interval [2,3]
<h3>How to order the functions?</h3>
The rate of change is calculated using:
For function g at the interval [2,3], we have:
This gives
For function h at the interval [0,2], we have:
Where:
h(2) = 3(3)^2 - 9 = 18
h(0) = 3(3)^0 - 9 = -6
This gives
For function f at the interval [1,2], we have:
This gives
Hence, the functions are function f at the interval [1,2], function h at the interval [0,2] and function g at the interval [2,3]
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Answer:
And the 96% confidence is given by (110.06; 117.34)
Step-by-step explanation:
Information given
represent the sample mean
population mean (variable of interest)
s=9.1 represent the sample standard deviation
n=29 represent the sample size
Confidence interval
The confidence interval for the mean is given by the following formula:
(1)
The degrees of freedom are given by:
The Confidence is 0.96 or 96%, the significance is 
and 
, and the critical value would be 
Replacing the info we got:
And the 96% confidence is given by (110.06; 117.34)
Liz squeezed lemons faster. Liz squeezed 18 lemons in 6 minutes. To find out how many she squeezed in a minute, you would do 18 / 6, which gives you three. Rick squeezed 24 lemons in 12 minutes. To find out how many lemons he squeezed in a minute, you would do 24/12, which gives you 2. So, Liz squeezed 3 lemons per minute while Rick squeezed 2 lemons per minute.
Answer:
4.75
Step-by-step explanation:
5 times $.95. equals $4.75
Answer:
z = 3.2 units
Step-by-step explanation:
sin 76°/z = sin 51°/2.6
cross-multiply to get:
z·(sin 51°) = 2.6·(sin 76°)
z = 2.6·(sin 76°) ÷ (sin 51°)
z = 3.2
