A. -13
B. -45
C. 20
D. 84
E. 4
F. -4
G. -7
H. 48
Answer: ![H_0:\mu=120](https://tex.z-dn.net/?f=H_0%3A%5Cmu%3D120)
Step-by-step explanation:
Let
denotes the average braking distance for a population of small car.
Given : It is advertised that the average braking distance for a small car traveling at 65 miles per hour equals 120 feet.
i.e. ![\mu=120](https://tex.z-dn.net/?f=%5Cmu%3D120)
Objective of test : Whether the statement made in the advertisement is false
i.e.
Since '=' signs is contained by Null hypothesis and alternative hypothesis is against it.
So the null and the alternative hypotheses for the test will be:
![H_0:\mu=120](https://tex.z-dn.net/?f=H_0%3A%5Cmu%3D120)
How to solve it:
•1. multiply 7 x 1= 7
•2. multiply 7 x 4k= 28k
so the answer is: 7+28k
i hope i have been helpful :)
Answer:
(d) (4x² +7)(x -3)
Step-by-step explanation:
This polynomial can be factored by factoring pairs of terms.
= (4x³ -12x²) +(7x -21)
= 4x²(x -3) +7(x -3)
= (4x² +7)(x -3)
__
<em>Additional comment</em>
The answer choices suggest we're not interested in irrational or complex factors. The quadratic (4x² +7) could be factored into linear terms involving irrational complex numbers. The form for "difference of squares" would be used for the purpose.
The formula of a midpoint SR:
![M\left(\dfrac{x_S+x_R}{2},\ \dfrac{y_S+y_R}{2}\right)](https://tex.z-dn.net/?f=M%5Cleft%28%5Cdfrac%7Bx_S%2Bx_R%7D%7B2%7D%2C%5C%20%5Cdfrac%7By_S%2By_R%7D%7B2%7D%5Cright%29)
We have
S(4, 1) and M(7, -5)
Substitute:
![\dfrac{4+x_R}{2}=7\qquad|\cdot2\\\\4+x_R=14\qquad|-4\\\\x_R=10\\\\\dfrac{1+y_R}{2}=-5\qquad|\cdot2\\\\1+y_R=-10\qquad|-1\\\\y_R=-11](https://tex.z-dn.net/?f=%5Cdfrac%7B4%2Bx_R%7D%7B2%7D%3D7%5Cqquad%7C%5Ccdot2%5C%5C%5C%5C4%2Bx_R%3D14%5Cqquad%7C-4%5C%5C%5C%5Cx_R%3D10%5C%5C%5C%5C%5Cdfrac%7B1%2By_R%7D%7B2%7D%3D-5%5Cqquad%7C%5Ccdot2%5C%5C%5C%5C1%2By_R%3D-10%5Cqquad%7C-1%5C%5C%5C%5Cy_R%3D-11)
<h3>Answer: R(10, -11)</h3>