Which equation represents a proportional relationship?
2 answers:
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Answer:
slope-intercept form y= -2/3 x + 490 slope is -2/3 y intercept is (0.490)
Step-by-step explanation:
2x+3y= 1470
3y= 1470-2x
y= 1470/3- 2/3 x
y= -2/3 x+ 490
slope is -2/3 and y intercept is 490 when x =0
the graph represent the amount of sandwiches that Sal's shop sold, where x is the number of sandwiches and y is the number of wraps sold. so that x won't exceed 735 sandwiches : 0≤x≤735 and 0≤ y≤490.
<u>total profit is 1593.</u>
2x+3y= 1593
y= -2/3 x + 531
similar : the two functions have the same slope -2/3
difference: 0≤ y≤531
0≤x≤796.5
the two line are parallel
<h3>The probability of student passing the quiz with at least 50% of the questions correct is 0.05457.</h3>
Step-by-step explanation:
Here, the total number of T/F question = 10
The minimum answers needed correctly answered = 8
So, student needs to answer at least 8 questions correctly.
Here, the possibility of answering a question correctly = = p = 0.5
Also, the possibility of answering a question wrong = = q = 0.5
Now, to pass he needs to answer 8 or more ( 8 , 9 or 10) answers correctly.
P(answering 8 correct answer) =
P(answering 9 correct answer) =
P(answering 10 correct answer) =
So, the total Probability = P(8) + P(9) + P(10)
= (0.0439) + (0.0097) + (0.00097)
= 0.05457
Hence, the probability that the student passes the quiz with at least 8 of the questions correct is 0.05457.