Find the solution of the equation from the given numbers.
2 answers:
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Answer:
Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
- Perpendicular lines always have slopes that are negative reciprocals (ex. 3 and -1/3, 1/2 and -2, etc.)
<u>1) Determine the slope (m)</u>
<u />
Looking at the given line, we can identify clearly that -1 is in the place of m, making it the slope of the line. Because perpendicular lines have slopes that are negative reciprocals of each other, we know that the slope of the line we're solving for is 1. Plug this into :
<u>2) Determine the y-intercept (b)</u>
Plug in the given point (4,1)
Subtract 4 from both sides
Therefore, the y-intercept is -3. Plug this back into :
I hope this helps!
Answer:
0.2
Step-by-step explanation:
Given that:
P(particleboard with excessive bark) = 0.15
The P(that particleboard do not have excessive bark) = 1 - 0.15
i.e the population proportion number of success p = 0.85
The sample size (n) is given to be = 1000
To find the P(X ≥ 860)
Since the sample size is large, we will apply the normal approximation of binomial distribution to treat this question.
The population mean
The population standard deviation
Let X be the random variable which obeys a normal distribution;
Then;
P(X ≥ 860) = P(Z ≥ 0.8856)
P(X ≥ 860) = 1 - P(Z ≤ 0.8856)
From z table
P(X ≥ 860) = 1 - 0.8122
P(X ≥ 860) = 0.1878
P(X ≥ 860) 0.2
Thus, the probability of having more than 860 bark-free chips in a batch of 1,000 = 0.2