The line with equation y=my+b is perpendicular to the line with equation y=16 - x/3. The value of m is ____?
1 answer:
Answer:
m=3
Step-by-step explanation:
Perpendicular lines intersect at 90 degrees or perpendicular angles. As such, their slopes are related. The slope of each line is the negative reciprocal of the other. For the equation, . The slope or
. This means the slope of the other line will be the negative reciprocal which is -(-3)=3
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Answer:
0.01596
Step-by-step explanation:
A scientist claims that 8% of the viruses are airborne
Given that:
The population proportion p = 8%
The sample size = 477
We can calculate the standard deviation of the population proportion by using the formula:
The required probability can be calculated as:
= P(Z < -2.41) + P(Z > 2.41)
= P(Z < -2.41) + P(Z < -2.41)
= 2P( Z< - 2.41)
From the Z-tables;
= 2 ( 0.00798
= 0.01596
Thus, the required probability = 0.01596