F(x) = 2^x what is the domain ? range ? asymptote ? and transformation
1 answer:
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Answer:
The Humming bee need to eat 0.0028 ounces of food each day.
Step-by-step explanation:
Given:
Weight of the humming bee = 0.0056 ounces
We need to find amount of food humming bee should eat each day to survive.
Solution:
Now given that:
They have to eat half their body weight every day to survive.
So we can say that;
Amount of food humming bee needs to eat is half of the weight of the humming bee.
framing in equation form we get;
Amount of food humming bee needs to eat =
Hence The Humming bee need to eat 0.0028 ounces of food each day.
Answer:7.125 min
Step-by-step explanation:
Given
Resting time =24 min
Personal time=10 min
Delay=14 min
Observed Time=6min/cycle
Performance Rating=95%
Allowance Time=Rest time+Personal time+delay
Allowance time=24+10+14=48 min
Allowance Factor=
Calculate the Normal Time
Normal time=Observed timepersonal Time=6\times 0.95=5.7 min
Standard time=Normal time Allowance Factor
Standard time ==7.125 min
Answer:
If we compare the p value and the significance level for example we see that
so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can conclude that the mean annual premium in Pennsylvania is significantly lower than the national mean annual premium of 1503 at 5% of significance.
Step-by-step explanation:
1) Data given and notation
represent the mean annual premium value for the sample
represent the sample standard deviation for the sample
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
t would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the mean annual premium in Pennsylvania is lower than the national mean annual premium, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:
(1)
t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".
Calculate the statistic
We can replace in formula (1) the info given like this:
P-value
The first step is calculate the degrees of freedom, on this case:
Since is a one side left tailed test the p value would be:
Conclusion
If we compare the p value and the significance level for example we see that
so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can conclude that the mean annual premium in Pennsylvania is significantly lower than the national mean annual premium of 1503 at 5% of significance.