Answer:
4x^3 - 15x^2 - 10x + 24
Step-by-step explanation:
FOIL (x-4)(4x^2+x-6)
= x(4x^2+x-6) -4(4x^2+x-6)
= 4x^3+x^2-6x-16x^2-4x+24
=4x^3-15x^2-10x+24
Answer:
Correct option: B
Step-by-step explanation:
The professor can perform a One-mean <em>t</em>-test to determine whether the average score of the students in his class is more than the average score of all the students attending university.
A <em>t</em>-test will be used instead of the <em>z</em>-test because the population standard deviation is not provided instead it is estimated by the sample standard deviation.
The hypothesis for this test can be defined as follows:
<em>H₀</em>: The average score of the students in his class is not more then the entire university, i.e. <em>μ ≤ 35</em>.
<em>Hₐ</em>: The average score of the students in his class is more then the entire university, i.e. <em>μ > 35</em>.
Given:

The test statistic is:

Thus, the correct option is (B).
Answer:
x=7
Step-by-step explanation:
The two triangles are similar .
We can use the ratio's of the side to figure out x
2 3.5
-------- = --------------
4 x
Using cross products
2x = 4*3.5
2x=14
Divide each side by 2.
2x/2 = 14/2
x=7
Answer:
28 Nickels
Step-by-step explanation: