Answer:
Angle R is 99 degree
Angle Y=48 degrees
Angle T is 33 degrees
Step-by-step explanation:
Let angle T be x
Angle R will be 3x
Angle Y will be x+15
Total=x+3x+x+15=5x+15
5x+15=180
5x=165
x=165/5=33
Therefore, angle T is 33 degrees, angle Y=15+33=48 degrees and angle R=33*3=99 degrees
Answer:
La suma de los ángulos complementarios es 90 °
Step-by-step explanation:
Answer:
0.96
Step-by-step explanation:
12% = 0.12
0.12 * 8 = 0.96
Solution :
Given :
n = 15
s = 0.5902
The hypothesis :
This is a 2 tailed test.
The significance level is
The test statistic :
= -0.72
The p value : The p value for Z = -0.72 is 0.4716
The critical value : the critical value at α = 0.05 is +1.96 to -1.96
The decision rule :
If or if , then reject .
Also if p value is less than α, then reject .
The decision :
Since the Z falls in between +1.96 and -1.96, we fail to reject the . Also since p value is greater than α, we fail to reject .
The conclusion :
There is not sufficient evidence at the 95% significance level to warrant rejection of the claim that the pills come from a population in which the amount of the atorvastatin is equal to 25 mg.
Now calculating the mean and the standard deviation :
Standard deviation =
Variance =
Where, SS =
X Mean
24.1 24.89 0.62
24.4 24.89 0.24
24.3 24.89 0.35
24.9 24.89 0
24.1 24.89 0.62
24.2 24.89 1.72
24.1 24.89 0.04
26.2 24.89 0.04
25.1 24.89 0.24
25 24.89 0.01
24.7 24.89 0.04
25.1 24.89 0.04
25.3 24.89 0.17
25.5 24.89 0.37
25.5 24.89 0.37
n 15
Sum 373.3
Average 24.89
SS 4.8775
Variance = 0.348392857
Standard deviation 0.5902
Answer:
20ft²
Step-by-step explanation:
Let the length = L
Let the width = W
Perimeter of a rectangle = 2L + 2W
Translating the word problem into an algebraic equation, we have;
L = 5W .......equation 1
2L + 2W = 24 ........equation 2
To find the width
Substituting equation 1 into equation 2, we have;
2(5W) + 2W = 24
10W + 2W = 24
12W = 24
W = 24/12
Width, W = 2 ft
To find the length;
Substituting the value of "W" into equation 1, we have;
L = 5W
L = 5*2
L = 10 ft
To find the area of the rectangle;
Area = LW
Area = 10*2
<em>Area = 20 ft²</em>
Therefore, the deck's area is 20 feet square.