Answer:
0.1056
Step-by-step explanation:
Mean(μ) = 12 ounce
Standard deviation (σ) = 0.2 ounce
P(x<11.75) = ???
Let x be the random variable for the amount of soda a machine will dispense.
Using normal distribution
Z = (x - μ) / σ
Z = (11.75 - 12) / 0.2
Z = (-0.25)/0.2
Z = -1.25
From the normal distribution table
1.28 is 0.3944
Φ(z) is the tabular value of z
Φ(z) = 0.3944
Recall that when Z is negative
P(x<a) = 0.5 - Φ(z)
P(x < 11.75) = 0.5 - 0.3944
= 0.1056
The correct answer is B) its graph is symmetrical about the y-axis.
A quadratic graph cannot be "folded" across the x-axis.
The domain, or set of inputs, is all real numbers; there is no value of x for which there will be no y.
The range, or set of outputs, is not all real numbers; there are values of y that will not be used in the graph.
Answer:
(4,3) (4,5)
Step-by-step explanation:
You have one of the answers correct. The fraction 4/8 is equal to 1/2
Other answers are: 5/10, 10/20, and 6/12
If you reduced each of those fractions, you'd get to 1/2.
You can use a calculator to find that
4/8 = 0.5
1/2 = 0.5
5/10 = 0.5
10/20 = 0.5
6/12 = 0.5
All fractions mentioned lead to the same decimal value, so this confirms all of the fractions are equivalent to one another.
The answer is C
Multiply all of the measurements and divide by 2. Picture cutting the triangle in half from the top point, then use the measurements you have and multiply live it’s a rectangular prism.
