A bag of rare spice that weighs 3/4 pounds will be split equally among 24 people. How much spice will each person get?
1 answer:
You might be interested in
Answer:
(-3, -5)
Step-by-step explanation:
By using the distance formula, we see that the length of RT is which equals
.
The ratio of RS to ST is 3:2, so we can write the distance of RS as which equals
. The distance of ST is then
.
Since we know the distance of RS and ST, we can find the coordinates of point S by using the distance formula again:
and
We solve for x and y, getting (-3, -5).
Answer:
Step-by-step explanation:
The missing options are:
For this exercise it is important to remember the mulitplication of signs:
By definition, the sum is the result of an addition.
Therefore, you need to add the numbers given in the exercise (-15 and 6) in order to find its sum. This is:
(Since the greatest number has a negative sign, the sum is negative).
Knowing this, you can check each option to find the expression whose sum is -9:
The answer is the option "d".
Answer:
If we compare the p value and the significance level given we see that
so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the true mean is less than 63 gallons per day at 1% of signficance.
Step-by-step explanation:
Data given and notation
represent the sample mean
represent the sample standard deviation
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 true mean is less than 63, 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 lower test the p value would be:
Conclusion
If we compare the p value and the significance level given we see that
so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the true mean is less than 63 gallons per day at 1% of signficance.