Answer:
The teacher can hand out pizza to 8 students.
Step-by-step explanation:
To find how many slices of pizza the teacher can hand out , you can divide 7 by 7/8 and round down the nearest whole number.
7 ÷ 7/8 = 8
8 is already a whole number. No need to round down.
The teacher can hand out pizza to 8 students.
Answer:
Total cost is $205328
Step-by-step explanation:
Given data:
cost C(q) = 0.1 q^3 - 0.5 q^2 + 500 q + 200
current units q = 4 ( 4000 units )
The current level of production is 4000 ( 4 )units, and manufacturer is planning to upgrade this to 4100 ( 4.1 ) units
C'(q) = 3 * 0.1 q^2 - 2 * 0.5 q + 500
C'(q) = 0.3 q2 - q + 500
C(4.1) - C(4) ≈ C’(4) x Δq
≈ C’(4) x 0.1
≈ ( 0.3 * 4^2 - 4 + 500 ) x 0.1
≈ ( 0.3 * 16 - 4 + 500 ) x 0.1
≈ 500.8 x 0.1 ≈ 50.08
total cost = 4100 x 50.08 = $205328
Answer:
Trump 2020 is the best
Step-by-step explanation:
T
r
u
m
p
2
0
2
0
If the focus is at (6, 2) and the directrix is a horizontal line y = 1, then that tells us that is an x^2 parabola. Since the parabola hugs the focus, it will open upwards since the focus is above the directrix. The rule here is that the vertex is the same distance from the focus as it is from the directrix. If the focus is at a y-value of 2 and the directrix is at y = 1, then the vertex is right in between them as far as the y coordinate goes, which is 1.5. It will have the same x coordinate at the focus. The vertex is in the form (h, k), so our h is 6, and our k is 1.5. The vertex is (6, 1.5). The standard form of a parabola of this type is
, where p is the distance from the vertex to the focus. Our p is 1/2. Using the h and k from the vertex, and the p of 1/2, we now have this as our equation, not yet simplified:
. That will simplify a bit to
. Depending upon how you are to state your answer, how it needs to "look" in the end will vary. I am going to FOIL the left and distribute the right and then put everything on one side and set it equal to y. That would be this:
. And there you go!
The standard deviation of the distribution = 1.5°F
Given that the distribution of daily high temperature is approximately normal.
Population mean, = 86°F
Also approximately 95% of all daily high temperatures are between 83°F and 89°F.
So here = 83°F and = 89°F
We have the z - statistic ,
where is the Standard deviation.
For 95% probability, the z-value for normal distribution is 1.96.
As we consider the positive z-value, take X = = 89°F
So,
⇒ ≈ 1.5°F
So the standard deviation of the distribution = 1.5°F
Learn more about standard deviation at brainly.com/question/475676
#SPJ4