L = - W
P = 2L + 2W = 2(L + W) → ( take out common factor of 2)
divide both sides by 2
= L + W
subtract W from both sides
- W = L
If you vertically compress the absolute value parentsl function, f(x)=|x| by a factor of 4 what is the equation if thr new funct
1 answer:
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Answer:
See the explantion below
Step-by-step explanation:
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
Assuming the X follows a normal distribution
We know that the margin of error for a confidence interval is given by:
(1)
If we see the formula (1) at the same confidence level, for example 95% and with the same sample size the margin of error just depends of the deviation. If the population deviation for population A is higher than the population deviation for B then A will have more margin of error than B.
On the other case if the deviation for population A is lower than the deviation for population B, then we will have less margin of error for population A than population B.
And the other possible case if both population have the same deviation, then both have equal margin of error.
Answer:
Step-by-step explanation:
We are asked to find the length of the third side in a triangle, given the other 2 sides.
Since this is a right triangle (note the small square in the corner of the triangle representing a 90 degree /right angle), we can use the Pythagorean Theorem.
In this theorem, <em>a</em> and <em>b</em> are the legs of the triangle and <em>c</em> is the hypotenuse.
We know that the unknown side (we can say it is a) and the side measuring 5 are the legs because they form the right angle. The side measuring 10 is the hypotenuse because it is opposite the right angle.
- b= 5
- c= 10
Substitute the values into the formula.
Solve the exponents.
- (5)²= 5*5 = 25
- (10)²= 10*10= 100
We are solving for a, so we must isolate the variable. 25 is being added to a. The inverse operation of addition is subtraction, so we subtract 25 from both sides.
a is being squared. The inverse of a square is the square root, so we take the square root of both sides.
Round to the nearest tenth. The 6 in the hundredth place tells us to round the 6 up to a 7 in the tenth place.
The length of the third side is approximately <u>8.7</u>