Parallel = same slope
y = 3x + b
5 = 3(1) + b, b = 2
Solution: y = 3x + 2
Hey there!
In order to solve this problem, we can use the slope given two points formula:
y2-y1/x2-x1
Now, we can plug in our points to get:
1-0/5-0 = 1/5
Your answer is 1/5, or B.
Hope this helps!
Answer:
The machine should be set at a mean weight of 51.23 kg.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation , the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
At what mean weight should the machine be set so that only 5% of the bags are underweight contain less than 50kg of sand?
We want 50 to be the 5th percentile.
So when X = 50, Z has a pvalue of 0.05. So when X = 50, Z = -1.645. We use this to find the mean weight
The machine should be set at a mean weight of 51.23 kg.
Answer:
x = 9/4 or 2.25
Step-by-step explanation:
First you will combine like terms. Combine 2x + 3x - x which gives you 4x. Then combine 9 - 2 and you get 7. Now the equation is 4x + 7 = 16. Subtract 7 from both sides to get x by itself. Now you have 4x = 9. To find what x equals, divide by 4 on each side. x = 9/4 or 2.25