Answer:
1 1/2
Step-by-step explanation:
1/4 cups * 6 batches = 1/4 * 6 = 6/4 = 1 2/4 = 1 1/2
9514 1404 393
Answer:
bottom graph shown
Step-by-step explanation:
It can be helpful to rearrange the equation to either of the equivalent forms ...
f(x) = |3(x -2)|
or ...
f(x) = 3|x -2|
_____
The first of these forms represents a horizontal compression of the absolute value function by a factor of 3, then a right-shift by 2 units. This matches the bottom graph shown.
__
The second of these forms represents a horizontal right-shift by 2 units, and a vertical expansion by a factor of 3. This matches the bottom graph shown.
__
The attached graph shows the function given here along with the absolute value parent function.
_____
Additional comment
The transformations we're usually interested in are ...
g(x) = k·f(x) . . . . vertically scaled (stretched) by a factor of k
g(x) = f(kx) . . . . .horizontally compressed by a factor of k
g(x) = f(x) +k . . . shifted up by k units
g(x) = f(x -k) . . . . shifted right by k units
In many cases, as here, horizontal scaling and vertical scaling are indistinguishable as to which caused a given effect.
Answer:
bottom graph
Step-by-step explanation:
f(x) = |3q-6|
because you have absolute value there are 2 possibilities
y= +(3q-6) and y= -(3q-6)
to find where the graph intersects the x-axis make y=0 because there the y coordinate is 0, so we have...
3q-6 =0 and -3q+6 =0
3q= 6 and -3q =-6
q=2 and q=2
the bottom graph has the intersection with x-axis only at 2, so is the correct one
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.
#SPJ11
Answer:
<eba and <hbi are congruent angles
Step-by-step explanation:
They are vertical angles, therefore congruent
The distance MN is 9/(9+1) = 9/10 of the distance MP, so is
... MN = (9/10)×MP = (9/10)×2 = 9/5
The distance MK is 1/4 that, so is ...
... MK = (1/4)×(9/5) = 9/20 . . . . . matches selection (C)
Answer:
C
Step-by-step explanation:
the answer is C. give the person the brainly :) ignore this answer