Answer:
A B D
Step-by-step explanation:
Answer:
0.7392 = 73.92% probability of obtaining a value less than 45 or greater than 49.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
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.
Mean 47 and standard deviation 6
This means that 
Less than 45:
p-value of Z when X = 45, so:



has a p-value of 0.3696.
More than 49:
1 subtracted by the p-value of Z when X = 49. So



has a p-value of 0.6304.
1 - 0.6304 = 0.3996
Less than 45 or greater than 49:
2*0.3696 = 0.7392
0.7392 = 73.92% probability of obtaining a value less than 45 or greater than 49.
Answer:
<h3>The answer is 12.7 units</h3>
Step-by-step explanation:
The distance between two points can be found by using the formula

where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
S(6,5) and T(-3,-4)
The distance between them is

We have the final answer as
<h3>12.7 units to the nearest tenth</h3>
Hope this helps you
Answer:
1 ) ∠1 = 105 ∠2 = 75
2) ∠1 = 50 ∠2 = 50
Step-by-step explanation:
Answer:
linear
Step-by-step explanation:
The x-values are evenly spaced (1 apart), so it is helpful to look at the differences of the f(x) values.
Successive f(x) values all differ by the constant 0.5, a characteristic of a linear function.
_____
<em>Comment on differences</em>
The differences of successive y-values are called "first differences". The differences of those are called "second differences". And the differences of those are "third differences." The "degree" of the differences that are constant is the degree of the function describing the sequence.
That is, a sequence (like this one) with constant first differences can be described by a first-degree polynomial, a linear function. If third differences are constant, the sequence is described by a third-degree polynomial, a cubic function.
A square root function will have first differences that decrease by a decreasing amount. Successive differences of differences will continue to decrease, never becoming constant.
An exponential function will have first differences with a common ratio.