<h2>
Plane's speed without wind i s 117.68 mph</h2>
Step-by-step explanation:
We have speed of plane without wind is x.
Distance to brothers place = 200 miles.
A headwind of 20 mph slowed down the plane's speed on the first leg of the trip
Speed to brothers place = x - 20
We have
Distance = Speed x Time
A tailwind of 20 mph sped up the plane on the return trip
Speed of return trip = x + 20
We have
Distance = Speed x Time
The entire trip took 3.5 hours.
That is
Plane's speed without wind i s 117.68 mph
The correct answer is C. A 2-column table with 3 rows. Column 1 is labeled x with entries negative 5, 0, 3. Column 2 is labeled y with entries negative 18, negative 2, 10.
Explanation:
The purpose of an equation is to show the equivalence between two mathematical expressions. This implies in the equation "–2 + 4x = y" the value of y should always be the same that -2 + 4x. Additionally, if a table is created with different values of x and y the equivalence should always be true. This occurs only in the third option.
x y
5 -18
0 -2
3 10
First row:
-2 + 4 (5) = y (5 is the value of x which is first multyply by 4)
-2 + 20 = -18 (value of y in the table)
Second row:
-2 + 4 (0) y
-2 + 0 = -2
Third row:
-2 + 4 (3) = y
-2 + 12 = 10
Answer: B - The mean height of all the students of the college.
Explanation:
In statistics, the concept of parameter refers to the value that you want to know about a population to characterize it, for example, mean height, mean age, etc.
In this case, the value that you want to know about the population of the college is the mean height of its students, so the correct option is B.
The following concepts are used in statistics that can be applied to the given example:
- Population (all students of the university).
- Parameter (mean height of university students).
- Sample (the 25 randomly selected students).
- Elements (the heights of the selected students).
- Estimator (average height of randomly selected students).
You will use the formula for the mass of a cylinder. Since the trunk forms like a cylinder.
It is Mcylinder = density x pi x radius x height
So the given in our problem is:
Density = 45 lb/ft^3
Radius = 3ft
Height = 10 ft
Plugging that in our equation:
M cylinder = 45 lb/ft^3 * pi * 3ft^2 * 10 ft
= 5771.26 kgs
<u>Answer</u>
2/3
<u>Explanation</u>
For f(x) = g(x) we should equate the two functions to get the value of x.
f(x) = g(x)
−3x + 4 = 2
-3x + 4 - 4 = 2 - 4
-3x = -2
Dividing by -3 on both sides;
(-3x)/-3 = (-2)/-3
x = 2/3
