Answer:
Total pencils: 17
Total rulers: 15
Step-by-step explanation:
"I will buy 15 pencils."
15 * 8p = £1.20
15 pencils
"Then I will buy as many rulers as possible."
£5 - £1.20 = £3.80
£3.80/30p = 12 remainder 20p
12 rulers
"With my change, I will buy more pencils.”
20p/8p = 2 remainder 4 p
2 pencils
Total pencils: 17
Total rulers: 15
Answer:
(-1.5, 0) and (0, -6)
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
Using the rules of logarithms
log
= nlogx
b = 1
Then

= 9
x
= 9
Answer:
Profit of $196
Step-by-step explanation:
725 - 529 = $196
Answer:
The percentle for Abby's score was the 89.62nd percentile.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation(which is the square root of the variance)
, 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.
Abby's mom score:
93rd percentile in the math SAT exam. In 1982 the mean score was 503 and the variance of the scores was 9604.
93rd percentile. X when Z has a pvalue of 0.93. So X when Z = 1.476.

So




Abby's score
She scored 648.

So



has a pvalue of 0.8962.
The percentle for Abby's score was the 89.62nd percentile.