Answer:
The slope of the line would be -2.
Step-by-step explanation:
Because the equation is a line, the slope is the same throughout the entire graph on the equation.
Lets let f(x)=y=-2x+4.
f(0) = -2(0) + 4 = 4
f(0)=4
f(1) = -2(1) + 4 = 2
f(1)=2
Use the equation to find slope.
m(slope) = 
= 
= -2
<em>The slope would be -2.</em>
<em />
Or:
Use the equation y = mx + b where m=slope.
In the equation y=-2x+4, m=-2.
<em>The slope is -2.</em>
Answer:
a. z = 2.00
Step-by-step explanation:
Hello!
The study variable is "Points per game of a high school team"
The hypothesis is that the average score per game is greater than before, so the parameter to test is the population mean (μ)
The hypothesis is:
H₀: μ ≤ 99
H₁: μ > 99
α: 0.01
There is no information about the variable distribution, I'll apply the Central Limit Theorem and approximate the sample mean (X[bar]) to normal since whether you use a Z or t-test, you need your variable to be at least approximately normal. Considering the sample size (n=36) I'd rather use a Z-test than a t-test.
The statistic value under the null hypothesis is:
Z= X[bar] - μ = 101 - 99 = 2
σ/√n 6/√36
I don't have σ, but since this is an approximation I can use the value of S instead.
I hope it helps!
Let the equal sides of the isosceles Δ ABC be x.
Given that the perimeter of Δ ABC = 50m.
Therefore, 2x + AC = 50 --- (1)
It is also given that the perimeter of Δ ABD = 40m.
Therefore, x + BD + AD = 40
BD is the median of the Δ ABC. Therefore, D is the midpoint of AC.
So AD = CD.
Or, AD = 
AC
Therefore, 
Multiply both sides by 2.
2x + 2BD + AC = 80
From (1), 2x + AC = 50.
Therefore, 2BD + 50 = 80
2BD = 80 - 50
2BD = 30
BD = 15m.
Answer:
95.2
Step-by-step explanation:
1.15(300).
Substitute k for 300, since the plane is flying 300 knots per hour, and k=knots per hour.
1.15(300)=345 miles per hour
After multiplying, 300 by 1.15, you get 345 miles per hour. This is the speed of the plane from Knots to MPH (Miles Per Hour).
