Answer: B) x + y = 17
1.60x + 2.45y = 34
Step-by-step explanation:
Cost of x = $1.60 per pound
Cost of y = $2.45 per pound
Total pounds of x and y = 17
Cost per pound of mixture = $2
Total number of pounds of the mixture :
x + y = 17
Since the cost per pound of the mixture = 2
Hence ;
(Cost of x * number of pounds of x) + (Cost of y * number of pounds of y)
(1.60 * x) + (2.45 * y) = (cost per pound of mixture * total number of pounds of the mixture)
1.60x + 2.45y = 2 * 17
1.60x + 2.45y = 34
Answer:
(-5/2, 3/2)
Step-by-step explanation:
[(-5.5+.5)/2, (9.1-6.1)/2)} = (-5/2, 3/2)
<span>a. A two-dimensional figure</span>
Answer:
![20.5\%](https://tex.z-dn.net/?f=20.5%5C%25)
Step-by-step explanation:
Let's write out a case for two specific questions being correct and the rest being incorrect:
,
The
represents the chances of getting the question correct, as there are 5 answers and 1 correct answer choice.
The
represents the chances of getting the question incorrect, as there are 5 answers and 4 incorrect answer choices.
The equation above does show the student getting two answers correct and three answers incorrect, but it only shows one possible case of doing so.
We can choose any two of the five questions to be the ones the student gets correct. Therefore, we need to multiply this equation by the number ways we can choose 2 from 5 (order doesn't matter):
.
Therefore, the probability the student gets two questions correct is:
![\frac{1}{5}\cdot \frac{1}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot \binom{5}{2}=\frac{1}{5}\cdot \frac{1}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot 10=0.2048\approx \boxed{20.5\%}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B5%7D%5Ccdot%20%5Cfrac%7B1%7D%7B5%7D%5Ccdot%20%5Cfrac%7B4%7D%7B5%7D%5Ccdot%20%5Cfrac%7B4%7D%7B5%7D%5Ccdot%20%5Cfrac%7B4%7D%7B5%7D%5Ccdot%20%5Cbinom%7B5%7D%7B2%7D%3D%5Cfrac%7B1%7D%7B5%7D%5Ccdot%20%5Cfrac%7B1%7D%7B5%7D%5Ccdot%20%5Cfrac%7B4%7D%7B5%7D%5Ccdot%20%5Cfrac%7B4%7D%7B5%7D%5Ccdot%20%5Cfrac%7B4%7D%7B5%7D%5Ccdot%2010%3D0.2048%5Capprox%20%5Cboxed%7B20.5%5C%25%7D)
True.
The vectors are -25 in the left direction and;
-52 in the left direction
So they lie on the same line.