A. 507
B. 19,548
C. 15.08
D. 579
Answer:
n=97
Step-by-step explanation:
1) Notation and definitions
population standard deviation known
Confidence=90% or 0.9
n sample size required (variable of interest)
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
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".
The sample mean have the following distribution
2) Calculation for the sample size required
In order to find the critical value we need to take in count that we are finding the interval for the mean with the population deviation known, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by and . And the critical value would be given by:
The margin of error for the sample mean interval is given by this formula:
(a)
And on this case we have that and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
And replacing into equation (b) the values from part a we got:
And rounded up we have that n=97
Answer:
Cole has 62.11 grams of pepper left.
A. (2, 10)
B. (3, 15)
C. (4, 20)
D. (5, 15)
Answer: seriously the same question twice?
Step-by-step explanation:
Choice D like I said
Write an equation and solve.
The number is -27/2 if two times the sum of nine and a number is the opposite of 9 after applying the concept of the linear equation.
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
Two times the sum of nine and a number is the opposite of 9.
Let the number be x:
2(x + 9) = -9
2x + 18 = -9
2x = - 9 - 18
2x =- 27
x = -27/2
Thus, the number is -27/2 if two times the sum of nine and a number is the opposite of 9 after applying the concept of the linear equation.
Learn more about the linear equation here:
#SPJ2
Answer:
(7,5)
Step-by-step explanation:
x1 +x2 /2
4+10/2=7
y1 + y2/2
7 +3=10/2 =5
The answer is (7,5).