Answer: 8x - 7y = -21
Step-by-step explanation:
Since, the line has the y-intercept same as 9x-2y=-6
And for the y-intercept of the line x =0
⇒ y = 3
Therefore, y-intercept of the line 9x-2y=-6 is (0,3)
Thus, the line passes through the points ( -7,-5) and (0,3)
Therefore equation of the line,
-7y+21=-8x
8x - 7y + 21=0
⇒ 8x - 7y = -21
Which is the required equation of the line.
Answer:
68%
Step-by-step explanation:
The Empirical rule formula =
68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .
68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .
mean speed was 48 mph and the standard deviation was 16 mph.
Testing out the first rule in Empirical rule
= 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .
μ - σ
= 48 - 16
= 32
μ + σ
= 48 + 16
= 64
From the above use of the empirical rule,we can see that 68% of the data falls in 32mph
And 68% of the data falls in 64 mph
Hence , 68% + 68% /2
= 136%/2
= 68%
Therefore, the approximate percentage of vehicle speeds that were between 32 and 64 mph is 68%
Answer:
Option C is the correct one
Step-by-step explanation:
The events are independent because you are selecting the students randomly and how much they like rap music does not depend on the results on the other students. However, in each event of the binomial distribution there are two possible outcomes: success and fail. In this experiment there are 10 possible results for each event, therefore the distribution inst binomial. The correct answer therefore is C.
M = 3/2
b = - 5
y intercept,x=0
y=3/2x -5
y = - 5
x = 3/2(-5) + (-5)
x = -15/2-5
x = - 25/2
