Answer: 30
Step-by-step explanation: To solve this problem, we're going to have to use the Pythagorean theorem...
a² + b² = c²
24² + 18² = c²
576 + 324 = c²
c² = 900
30
30 = c
I hope this helps!
Answer:
Simplifying
x2 + bx + 9 = 0
Reorder the terms:
9 + bx + x2 = 0
Solving
9 + bx + x2 = 0
Solving for variable 'b'.
Move all terms containing b to the left, all other terms to the right.
Add '-9' to each side of the equation.
9 + bx + -9 + x2 = 0 + -9
Reorder the terms:
9 + -9 + bx + x2 = 0 + -9
Combine like terms: 9 + -9 = 0
0 + bx + x2 = 0 + -9
bx + x2 = 0 + -9
Combine like terms: 0 + -9 = -9
bx + x2 = -9
Add '-1x2' to each side of the equation.
bx + x2 + -1x2 = -9 + -1x2
Combine like terms: x2 + -1x2 = 0
bx + 0 = -9 + -1x2
bx = -9 + -1x2
Divide each side by 'x'.
b = -9x-1 + -1x
Simplifying
b = -9x-1 + -1x
Step-by-step explanation:
Answer:
Step-by-step explanation:
Assuming this question : "A bottling plant fills one-gallon jugs with milk. The labels on the jugs state that the volume of milk they contain is 128 fluid ounces (fl. oz.). Federal law mandates that the jugs must contain no less than the stated volume. The actual volume of milk in the jugs is normally distributed with mean μ=129 fl. oz. and standard deviation σ=0.8 fl. oz. Plant workers take a simple random sample (SRS) of 8 jugs, measure the volume of milk in each jug, and calculate the sample mean".
Previous concepts
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 Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the volume of milk in the jugs of a population, and for this case we know the distribution for X is given by:
Where and
Since the distribution for X is normal then the distribution for the sample mean is given by:
And the standard deviation for the sample mean would be given by:
Answer:
Domain
In other words Domain
Step-by-step explanation:
Let after weeks she has left no money.
That means she can have money for ice cream from the week 1 to week 20 and after that she will have no money.
So can be any number between and
Hence Domain
Jamil is 9 years old.
The square root of Jamil's age is √9=3.
Eve's age is x.
The square root of Eve's age is two more than the square root of Jamil's age.
Eve is 25 years old.