The point-slope equation of the line is y-2=-2(x-7)
How will we find the equation of line?
First, we will find the slope of line using the given points then put slope and point in the formula to get equation of line.
We can find the equation as shown below:
Given points (6,4) and (7,2)
slope(m)= (2-4)/ (7-6)
m=-2/1
m=-2
The point slope form:
(y-y1) = m(x-x1)
y1=2, x1=7
putting in formula
(y-2) = -2(x-7)
y-2=-2(x-7)
Hence, the point-slope equation of the line is y-2=-2(x-7)
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Answer:
14.78% probability that a sample of 10 covers will contain exactly 2 defectives
Step-by-step explanation:
For each cover, there are only two possible outcomes. Either it is defective, or it not. The probability of a cover being defective is independent from other covers. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
If the fraction of defective covers produced on the USB Mouse Factory production line is known to be 8%, what is the probability that a sample of 10 covers will contain exactly 2 defectives?
This is when . So
14.78% probability that a sample of 10 covers will contain exactly 2 defectives
The lowest points of the graph are at x= -2 and x=4
at those points, the values of the local minimum are y= -3 and y= -5
The riddle given by Dr. Watson to Sherlock Holmes is:
217 is to 335
896 is to 543
345 is to ____
We need to find the missing number of the third pair of the riddle. This is a ratio and proportion problem.
217/ 335 = 896/ 543 = 345 / x
The value of x is 209.
Answer:
B. There is sufficient sample evidence to support the claim that the true mean weight, in ounces, of all Colgate toothpaste tubes is not 6 oz.
Step-by-step explanation:
A two-tailed hypothesis test is performed.
The null and alternative hypothesis are:
The P-value calculated in this test is 0.0104.
As this P-value (0.0104) is smaller than the significance level (0.05), the effect is significant.
The null hypothesis is rejected.
There is enough evidence to support the claim that the mean fill volume differs significantly from 6 oz.