Answer:
7/3
Step-by-step explanation:
If I solved it correctly, you use y2-y1 / x2-x1. From here you get -3-4/1-4=-7/-3 which when you divide equals 7/3. LMK IF its wrong and ill figure it out champ!
How many times is the volume of the large sphere than the
small sphere?
2
VX
O 4
O 6
O 8
Answer:
4 times as great
Step-by-step explanation:
Compute the two different volumes and then compare them.
Smaller sphere: V = (4/3) · π ·r²
Larger sphere: V = (4/3) · π · (2r)² = (4/3) · π · 4 · r²
Comparing these, one sees immediately that the volume of the larger sphere is 4 times as great as that of the smaller sphere.
Answer:
D
Step-by-step explanation:
When an equation shifts down, you simply subtract the amount of units and when it shifts up, you add the amount of units so since it is 2 units down, it is -2
Answer:
D
Step-by-step explanation:
It is D because 'moving it down 2 spaces' has to do with the y-axis. If you move a line 2 spaces down then you are moving it down by -2.
Answer:
AS
Step-by-step explanation:
Answer:
All Calendula College students enrolled in the spring.
Step-by-step explanation:
A researcher at Calendula College wishes to estimate the number of units earned by students during the spring semester at Calendula.
To do so, he randomly selects 100 student transcripts from among all Calendula College students enrolled in the spring and records the number of units each student earned in the spring term.
а-3
11
5
15а а-3
о
о
Cul —
за
о за
O3
The product of the given expressions is (1/3a). therefore, option (1/3a) is correct.
To find the product of the two expressions:
(а - 3) / (15a) * (5 / (a - 3))
First, notice that (a - 3) appears in both the numerator and the denominator, and these terms will cancel out, leaving:
(5 / 15a)
Now, you can simplify this fraction:
5 / 15a = (1/3a)
So, the product of the given expressions is:
(а - 3) / (15a) * (5 / (a - 3)) = (1/3a)
for such more question on expressions
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Answer:
1/3a
Step-by-step explanation:
Answer:
a)
And rounded up we have that n=551
b)
And rounded up we have that n=494
Step-by-step explanation:
Previous concept
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The population proportion have the following distribution
Solution to the problem
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by and . And the critical value would be given by:
Part a
The margin of error for the proportion interval is given by this formula:
(a)
And on this case we have that and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
We can assume that since we don't know prior info. And replacing into equation (b) the values from part a we got:
And rounded up we have that n=551
Part b
And rounded up we have that n=494
To determine the required sample size for the survey, we can use a sample size formula based on the desired confidence level and margin of error. If nothing is known about the passenger preferences, a sample size of 549 would be needed. If a prior survey suggests a certain proportion, the sample size can be calculated using the known proportion.
In order to determine the number of randomly selected air passengers that must be surveyed, we need to calculate the required sample size for a desired confidence level and margin of error.
a. If nothing is known about the percentage of passengers who prefer aisle seats, we can use a sample size formula given by n = (Z^2 * p * q) / E^2, where Z is the z-score corresponding to the desired confidence level, p and q are the estimated proportions for aisle seat preference and non-aisle seat preference respectively, and E is the desired margin of error. Since a confidence level of 99% and a margin of error of 5.5% are specified, we can round up the sample size to 549.
b. If a prior survey suggests that about 34% of air passengers prefer an aisle seat, we can use the same sample size formula but with the known proportion p = 0.34. We do not have information about the non-aisle seat preference, so we cannot determine the required sample size.
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