Step-by-step explanation:
x = number of multiple choice questions
y = number of short response questions
x + y = 15
5x + 10y = 100
=>
x + 2y = 20
let's subtract the first from the second equation :
x + 2y = 20
- x + y = 15
--------------------
0 y = 5
x + y = 15
x + 5 = 15
x = 10
to graph you need to consider both equations as linear functions. and you need to transform them into e.g. a slope intercept form : y = ax + b
a is the slope, b is the y- intercept.
x + y = 15
transforms to
y = -x + 15
this line goes e.g. through the points (0, 15) and (1, 14).
and
x + 2y = 20
transforms to
2y = -x + 20
y = -x/2 + 10
this line goes e.g through (0, 10) and (2, 9).
the crossing point of both lines is the solution and should therefore be the point (10, 5) as calculated above.
3.04 , 3.14 , 3.4 , 4.03 , 4.4
<u>10M </u><u>different </u><u>codes </u><u>are possible.</u>
Probability Definition in Math-
- Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e. how likely they are to happen, using it.
- Four perspectives on probability are commonly used: Classical, Empirical, Subjective, and Axiomatic.
- For example, the probability of flipping a coin and it being heads is ½, because there is 1 way of getting a head and the total number of possible outcomes is 2 (a head or tail). We write P(heads) = ½ .
- It’s simple. there are 7 digits, so that would mean you start with 0,000,000 and end with 9,999,999.
- If the highest digit is 9,999,999 and you add a 1 more to it, you have a total of 10M combinations.
Learn more about probability
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Noelle goes east at N mph.
Karina travels west at N + 9
then their velocity between them is (N + N + 9)
After 8 hours they travel 8(2N + 9) = 232
(2N + 9) = 29
2N = 20
N = 10 mph for Noelle
N+9=19 mph for Karina
the answer is
x=8y/3(1-8y)
y=3x/8(1+3x)
hope this helped l used cymath to solve this problem.
good day : )
