Answer:
And we can find the following probability:
And the last probability can be founded using the normal standard distribution or excel.
Step-by-step explanation:
For this case we define the random variable X as the ages of vehicles. We know the following info for this variable:
represent the mean
represent the deviation in years
They select a sample size of n=40>30. And they want to find this probability:
Since the sample size is large enough we can use the central limit theorem and the distribution for the sample mean would be:
We can use the z score formula given by:
And if we find the z score for 4 we got:
And we can find the following probability:
And the last probability can be founded using the normal standard distribution or excel.
9514 1404 393
Answer:
a) 4
b) 3
Step-by-step explanation:
a. The total number of real and complex zeros is equal to the degree of the polynomial. That total is (1 negative real) + (3 positive real/complex) = 4 total zeros. The degree of the polynomial is 4.
The even degree is confirmed by the answer to part b, and by the end-behavior shown in the table, which has a tendency to -∞ for |x|→∞.
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b. The intermediate value theorem tells you there will be zeros in the intervals (0, 1), (1, 2), and (2, 3) according to the values in the table. (The function changes sign in those intervals.) Thus there are 3 positive real zeros.
_____
<em>Additional comment</em>
Stanley cannot tell anything about Descartes' rule of signs by analyzing the table of function values. To use that rule, he must have terms of the polynomial. If he has those terms, he already knows the degree of the polynomial.
Answer:
uh. Yeah totally
Step-by-step explanation:
Answer:
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
Find the measure of the vertex angle ∠ABD of an isosceles triangle
we know that
An isosceles triangle has two equal sides and two equal angles
In this problem
----> the angles of the base are equals
Find the measure of the vertex angle ABD
------> the sum of the internal angles of a triangle is equal to 180 degrees
step 2
Find the measure of the angle ∠CBD in the equilateral triangle
we know that
A equilateral triangle has three equal sides and three equal angles
The measure of the internal angle in a equilateral triangle is equal to 60 degrees
so
step 3
Find the measure of the angle ∠ABC
we know that
---> by addition angle postulate
substitute the values
Answer:
Option D is correct.
Step-by-step explanation:
An exponential function is in the form of 
where a is the initial value and b≠ 0 , b >1 .
Given: The function f(x) = y = 
......[1]
The domain is all real numbers and the range is y > 0.
y-intercept defined as the graph crosses the y-axis.
Substitute the value of x= 0 in [1] to solve for y;
y = 
= 4
y-intercept = (0, 4)
End behavior:
when b =3 >1
then;
as 
, 
as 
, 
therefore, the only graph which represents the function y = is Option D
