We are going to want to change any mixed number into an improper fraction. 2 3/4 is 11/4 and 1 2/5 is 7/5.
We are going to set up a proportion where the lbs are on the top and the money is on the bottom. x is going to be how much it costs for 2 3/4 lbs of lunch meat.
(7/5)/3.36 = (11/4)/x
Cross multiplication \/
7/5x = 9.24
x = 6.60
As a final answer, the 2 3/4 lbs of lunch meat cost $6.60
Answer:
the ratio is still 46:21 because it cn't be reduced any further
<h3>3
Answers:</h3>
A) y intercept is (0,3)
C) Axis of symmetry is x = -1
D) Vertex is (-1, 4)
So basically everything but choice B is true.
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Explanation:
Choice A is true because plugging in x = 0 leads to y = 3. Effectively, anything with an x goes away when x = 0 leaving that 3 behind. So finding the y intercept in this form is fairly fast.
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To check choices B through D, let's convert the equation into vertex form.
y = -1x^2 - 2x + 3 is in the form y = ax^2 + bx + c where
a = -1
b = -2
c = 3
The vertex is located at (h,k) such that h = -b/(2a)
Plug the values of 'a' and 'b' into the equation below
h = -b/(2a)
h = -(-2)/(2*(-1))
h = 2/(-2)
h = -1
The x coordinate of the vertex is x = -1
Then use this to find the y coordinate of the vertex
y = -1x^2 - 2x + 3
y = -1(-1)^2 - 2(-1) + 3
y = 4
The y coordinate of the vertex is 4, meaning k = 4
The vertex overall is (h,k) = (-1, 4)
This shows choice D is true, meaning choice B has to be false.
Choice C is true because the axis of symmetry is the x coordinate of the vertex. This is the vertical line that cuts the parabola into two mirrored halves. This vertical line always goes through the vertex.
Answer:
a) 
b) 0.1567
c) 
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = $27,293 per year
Standard Deviation, σ = $7,235
We are given that the distribution of cost of college is a bell shaped distribution that is a normal distribution.
a) Distribution of X
Let X be the cost for a randomly selected college. Then,
b) Probability that a randomly selected Private nonprofit four-year college will cost less than $20,000 per year.
Calculation the value from standard normal z table, we have,
c) 70th percentile for the distribution.
We have to find the value of x such that the probability is 0.7
Calculation the value from standard normal z table, we have,
The 70th percentile for the distribution of college cost is $31,084.14
