First you have to multiply 2x33 which is 66 then you have to add 1 which is 67 so the answer would be 67/2 I don’t know about the percent sign though
For this case we have that by definition, the point-slope equation of a line is given by:

Where:
m: It's the slope
b: It is the cut-off point with the y axis
We have two points:

We found the slope:

Thus, the equation is of the form:

We substitute one of the points and find "b":

Finally, the equation is:

Answer:

Using the hypergeometric distribution, it is found that there is a 0.0273 = 2.73% probability that the third defective bulb is the fifth bulb tested.
In this problem, the bulbs are chosen without replacement, hence the <em>hypergeometric distribution</em> is used to solve this question.
<h3>What is the hypergeometric distribution formula?</h3>
The formula is:


The parameters are:
- x is the number of successes.
- N is the size of the population.
- n is the size of the sample.
- k is the total number of desired outcomes.
In this problem:
- There are 12 bulbs, hence N = 12.
- 3 are defective, hence k = 3.
The third defective bulb is the fifth bulb if:
- Two of the first 4 bulbs are defective, which is P(X = 2) when n = 4.
- The fifth is defective, with probability of 1/8, as of the eight remaining bulbs, one will be defective.
Hence:


0.2182 x 1/8 = 0.0273.
0.0273 = 2.73% probability that the third defective bulb is the fifth bulb tested.
More can be learned about the hypergeometric distribution at brainly.com/question/24826394
Answer:
Option A is right
Step-by-step explanation:
Given that approximately 52% of all recent births were boys. In a simple random sample of 100 recent births, 49 were boys and 51 were girls. The most likely explanation for the difference between the observed results and the expected results in this case is
A) variability due to sampling
-- True because there is a slight difference whichmay be due to sampling fluctuations.
B) bias
False because given that 100 random births selected
C) nonsampling error
False. There is no chance for systematic error here.
d) Confounding: There is no confounding variable present inchild birth since each is independent of the other
e) a sampling frame that is incomplete
False because the sampling is done correctly.
Answer:
A’ is (3,-3)
B’ is (-1,-4)
C’ is (-1,2)
D’ is (3,1)
Step-by-step explanation: i forgot how i did this but i did it last week in math or somthing sorry if its wrong it was right for me