Answer:
January had a higher z-score for sales on the 15th, and the value of that z-score was of 0.5.
Step-by-step explanation:
z-score:
In a set with mean
and standard deviation
, the z-score of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
January:
The mean daily sales for January was $300 with a standard deviation of $20. On the 15th of January, the shop sold $310 of yogurt. This means, respectively, that
. So



February:
The mean daily sales for February was $320 with a standard deviation of $50. On the 15th of February, the shop sold $340 of yogurt. This means, respectively, that
. So



January had a higher z-score for sales on the 15th, and the value of that z-score was of 0.5.
Answer:
The sample size is not appropriate.
The population isn’t given to be approximately normal. And for the following question, "A convenience sample of forty people is taken from a population. Which of the following is a reason why you can not make a statistical inference on the population?" The answer is The wrong sampling method was used.
First part of the race
speed1, s1 = 8.75 km/h
distance1 = 5 km - x
time 1 = 0.65 h - t
Second part of the race
speed2, s2 = 6 km/h
distance2 = x
time2 = t
s2 = x/t = 6 ⇒ t = x / 6
s1 = [5 - x] / [0.65 - t] = 8.75
5 - x = 8.75 [0.65 - t]
5 -x = 8.75(0.65) - 8.75t
5 - x = 5.6875 - 8.75 (x/6)
5 - x = 5.6875 - 1.4583x
1.4583 x - x = 5.6875 - 5
0.4583 x = 0.6875
x = 0.6875 / 0.4583 = 1.5
The first thing you should do for this case is to graph the data you have in the statement to see the relationship between grapes and blueberries.
The function represented by the table is
y = 0.25x
Then, as Mandie is making 15 glasses of fruit salad, we have:
y + x = 15
We have two equations and two unknowns that we must solve.
y = 0.25x
y + x = 15
Resolving
For x:
0.25x + x = 15
1.25x = 15
x = 15 / 1.25 = 12
For y:
y = 0.25x = 0.25 (12) = 3
Answer
The ratio of grapes to blueberries she should use is 12: 3
Answer: D
Step-by-step explanation: APEX