Answer:
9.5 = 8 + AB (M1)
Note: Award (M1) for correct substitution into Pythagoras’ theorem.
AB = 5.12 (cm) (5.12347…)
Step-by-step explanation:
Answer:
5x - 6y = 14
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
given
y - 1 =
(x - 4)
Multiply through by 6 to eliminate the fraction
6y - 6 = 5(x - 4) ← distribute
6y - 6 = 5x - 20 ( add 20 to both sides )
6y + 14 = 5x ( subtract 6y from both sides )
14 = 5x - 6y , thus
5x - 6y = 14 ← in standard form
Answer:
19.77% of average city temperatures are higher than that of Cairo
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 question, we have that:

What percentage of average city temperatures are higher than that of Cairo?
This is 1 subtracted by the pvalue of Z when X = 21.4.



has a pvalue of 0.8023
1 - 0.8023 = 0.1977
19.77% of average city temperatures are higher than that of Cairo
21 - (3 x 4)
3 x 4 is 12, so it becomes 21 - 12.
21 - 12 = 9