Answer: <em>y = 3x + 2</em>
Step-by-step explanation:

<em>Let's choose two arbitrary points on the graph.</em>
<em>For example, let these be points with coordinates (1, 5) and (2, 8).</em>
<em>Substitute the coordinates of these points into the above formula and derive the equation of a straight line.</em>

9514 1404 393
Answer:
f(x) = 4·3^x
Step-by-step explanation:
We assume the function will be of the form ...
f(x) = a·b^x
Substituting the given values, we can find 'a' and 'b'.
4/9 = a·b^(-2)
108 = a·b^3
Dividing the second equation by the first gives ...
108/(4/9) = b^(3 -(-2))
243 = b^5
b = 3 . . . . . . 5th root
Using the second equation, we can find 'a':
108 = a·3^3 = 27a
a = 108/27 = 4
The formula for the exponential function is ...
f(x) = 4·3^x
Answer:
0.3075 = 30.75% probability that a person will wait for more than 7 minutes.
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.
The standard deviation is the square root of the variance.
In this problem, we have that:

Find the probability that a person will wait for more than 7 minutes.
This is 1 subtracted by the pvalue of Z when X = 7. So



has a pvalue of 0.6915
1 - 0.6915 = 0.3075
0.3075 = 30.75% probability that a person will wait for more than 7 minutes.
So first of all you can find x and y because all triangles have interior angles that add up to 180 degrees.
X= 10 degrees
Y= 60 degrees
Looking at the options, we see that the first statement is true. And if the angles are not equal, the triangles are not able to be similar.
Answer:
-22-6x
Step-by-step explanation:
Multiply, leave -7 out. Then combine like terms.