Answer:
Top 3%: 4.934 cm
Bottom 3%: 4.746 cm
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
Top 3%
Value of Z when Z has a pvalue of 1 - 0.03 = 0.97. So X when Z = 1.88.
Bottom 3%
Value of Z when Z has a pvalue of 0.03. So X when Z = -1.88.
y = (2/3)x + 6
because the slope stays the same because it is parallel and to get the y intercept you plug in -3 for x into the equation (2/3)x +? =4 and ?=6 so that gives you the equation y = (2/3)x + 6
Answer:
Step-by-step explanation:
Interest formula -
I = P × R × T
I = 3,280 × 0.3% × 9
What I basically did there wws multiply the amount of money, the simple interest, and the time.
Turn 0.3% into a decimal by dividing by a 100 which should give you 0.003
I = 3,280 × 0.003 × 9
Put that into a calculator, you get $88.56
Now, that's just the interest amount. Now you add it back to 3,280 to get the *total* amount.
3,280 + 88.56 = 3,368.56
Cathy ends us paying $3,368.56
Hope what I said made sense.
Answer:
2y -10 > 13
Step-by-step explanation:
Answer: x = -1 y = 4 I got my answer by solving for one variable in the first equation and then substituting what I got for that variable into the second equation in place of that aforementioned variable then solving for the last variable.
