What is the equation of the line that passes through the point (3,-7) and has a slope of -4/3?
1 answer:
Answer:
4x + 3y + 9 = 0
Step-by-step explanation:
When a slope of a line and a point passing through it is given then we use slope - one point form to determine the equation of the line.
It is given by:
where is the slope of the line and
is the point passing through it.
Here, and
.
Substituting in the formula
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Answer:
B. 199
Step-by-step explanation:
We are given an Arithmetic sequence : 3, 7, 11, 15, ...
We are supposed to find the 50th term .
So, first consider the formula of nth term in Arithmetic mean:
where
a is first term of sequence
n is term position
d is common difference
= the term you are supposed to find
Now,
a = 3 ( first term )
n = 50 th term ( given )
d = 7-3 = 11-7 = 4(common difference
Substitute these value in the formula given above
⇒
⇒
⇒
⇒
Hence ,The 50th term of given arithmetic sequence is 199
So, OPTION B is correct .
Using the normal distribution, we have that:
a) The sketch of the situation is given at the end of this answer.
b) The probability is:
In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:
- It 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, which is the percentile of X.
In this problem:
- Mean of 4.1 years, thus
.
- Standard deviation of 1.3 years, thus
.
Item a:
The part between 2.8 and 7 years is shaded on the sketch given at the end of this answer.
Item b:
The probability is the <u>p-value of Z when X = 7 subtracted by the p-value of Z when X = 2.8</u>, thus:
X = 7:
has a p-value of 0.9871.
X = 2.8:
has a p-value of 0.1587.
0.9871 - 0.1587 = 0.8284, thus:
A similar problem is given at brainly.com/question/25151638
