Answer:
0.324m^2 ; 18 ft
Step-by-step explanation:
Given the triangle :
Base (b) of triangle = 54cm
Height (h) of triangle = 1.2m
Area(A) of a triangle is given by:
0.5 * base * height
Base = 54cm = 54/100 = 0.54 m
Therefore,
A = 0.5 * 0.54m * 1.2m
A = 0.324m^2
2.) Average of the two bases in the trapezoid :
From the trapezium Given :
Base 1 = 15 feets
Base 2 = 7 yards
1 yard = 3 Feets
Therefore, base 2 in Feets = 7 * 3 = 21 Feets
Average of the two bases :
(21 Feets + 15 Feets) / 2
= 36 Feets / 2
= 18 Feets
Just combine like terms: (f+g)(x)=x^2+6x+30
Answer:
3y = -2x -7
Step-by-step explanation:
The equation of the line;
y = 
x + 8
Unknown:
Equation of the line passing through (4, -5);
Solution:
To solve this problem;
the equation of a line is given as;
y = mx + c
where x and y are the coordinate
m is the slope
c is the intercept
To solve this problem,
The slope if the same as that of the new line since they are parallel;
Equation of the new line;
x = 4 and y = -5
-5 = x 4 + c
-5 = 
+ c
c = -5 + 
c = 
So, the equation of the line is;
y = x - 
or ;
3y = -2x -7
Answer:
Step-by-step explanation:
Hello!
Suppose that the objective of the experiment is to test if a certain treatment modifies the mean of the population of interest.
If for example, the treatment is "new fertilizer" and the population of interest is "yield of wheat crops"
Then you'd expect that using the new fertilizer will at least modify the average yield of the wheat crops.
The hypotheses will be then
H₀: μ = μ₀
H₁: μ ≠ μ₀
Where μ₀ represents the known average yield of wheat crops. (is a value, for this exercise purpose there is no need to know it)
We know that the treatment modifies the population mean, i.e. the null hypothesis is false.
The sample we took to test whether or nor the new fertilizer works conducts us to believe, it does not affect, in other words, we fail to reject the null hypothesis.
Then we are in a situation where we failed to reject a false null hypothesis, this situation is known as <em><u>Type II error</u></em>.
I hope this helps!
Answer:
6.6
Step-by-step explanation:
For this problem, you need to add 5 to the given equation, by replacing "c" with "5"
1.8(5)-2.4
= 6.6
