8 / 2 = 45 / x....8 servings to 2 cups = 45 servings to x cups
cross multiply
(8)(x) = (2)(45)
8x = 90
x = 90/8
x = 11 1/4 (or 11.25) cups of flour are needed <==
Answer:
155 + + 14
Step-by-step explanation:
The variable x would represent the number/value we don't know, and in this case, we don't know what number is raised to the third power. This being said, x would represent that number.
The question, although worded a bit confusingly, asks to add 155, the number (x) to the exponent of 3, and 14. Mathematically, this would be 155 + + 14.
Hello!
The equation can be written as seen below. You only need a y-intercept and slope to write the equation.
y=-2x+3 (it intercepts at a y-value of 3).
I hope this helps!
Answer:
chisquare = 31.667
degree of freedom = 2
Step-by-step explanation:
Formula for chisquare test = (O-E)²/E
total number observations= 60 + 25 + 15 = 100
Estimated E,
80% x 100 = 80
15%x100 = 15
5% x 100 = 5
chisquare =
= 5 + 6.67 + 20
= 31.667
from the calculation above the value of the chisquare statistic = 31.67
the degree of freedom is the number of samples in the test n - 1
= 3-1
= 2
I have solve this question also in a tabular form to aid understanding in the file i uploaded.
thank you and good luck!
Answer:
95% Confidence interval for the variance:
95% Confidence interval for the standard deviation:
Step-by-step explanation:
We have to calculate a 95% confidence interval for the standard deviation σ and the variance σ².
The sample, of size n=8, has a standard deviation of s=2.89 miles.
Then, the variance of the sample is
The confidence interval for the variance is:
The critical values for the Chi-square distribution for a 95% confidence (α=0.05) interval are:
Then, the confidence interval can be calculated as:
If we calculate the square root for each bound we will have the confidence interval for the standard deviation: