What is the distance between point (-5,-6) and (-3,-8)
2 answers:
Answer:
Step-by-step explanation:
First, find the distance between the x values. From -5 to -3, the distance is 2 units. Then find the distance between the y values. From -6 to -8 the distance is 2. Then, use the Pythagorean Theorem to find the distance.
(a^2)+(b^2)=c^2 Where a and b are the distances between the x and y values.
C will be your answer.
(2^2)+(2^2)=c^2.
4+4=c^2
8=c^2
So the answer is the square root of 8.
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Answer:
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.
Middle 85%.
Values of X when Z has a pvalue of 0.5 - 0.85/2 = 0.075 to 0.5 + 0.85/2 = 0.925
Above the interval (8,14)
This means that when Z has a pvalue of 0.075, X = 8. So when . So
Also, when X = 14, Z has a pvalue of 0.925, so when
Replacing in the first equation
Standard deviation:
Answer
Find out the measure, in degrees, of angle ABC .
To prove
The relationship between inscribed angles and their arcs
The measure of an inscribed angle is half the measure the intercepted arc.
The formula is
As given in the diagram
The measure of the intercepted arc A to B is 120°.
Put value in the formula
∠ABC = 60°
Therefore the measure of the ∠ABC is 60° .