To solve the question we proceed as follows:
z-score is given by:
z=(x-μ)/σ
where:
μ- mean
σ-standard deviation
The z-score of our information will be:
z=(65-64)/2.8
z=0.3571
thus the probability associated with this z-score is:
P(X≤x)=0.6404
Thus the <span>probability that the mean of any one of these 10 samples is greater than 65 inches will be:
P(X</span>≥x)=1-P(X≤x)
=1-0.6404
=0.3596
So a triangle will always equal 180°, and since you already have angels Q and R, it’ll be easy to find angel P
Add Q and R together 28° + 67° = 95°
Use 180° and subtract it to 95°
180° - 95° = 85°
Your explanation can easily be “I added both Q and R together and subtracted it by 180 in order to find the angel P”
Answer:
B
Step-by-step explanation:
14t +22m+100
There's no number of hours
9 is correct answer because it is given that ML=LB.
Answer:
<em>97.5 sq. ft.</em>
Step-by-step explanation:
Im presuming the question asks to find area of the shaded region.
First of all, the total figure is a rectangle. We can write an expression(in words) for the shaded area.
<em>Shaded Area = Area of Rectangle - Area of Small Triangle(White) - Area of Large Triangle(White)</em>
Now, we find respective areas.
Area of rectangle:
length * width = (5+10) * (12) = 15 * 12 = 180
Area of Small Triangle (white):
A = (1/2) * base * height = (1/2) * 5 * (12-3) = (1/2) * 5 * 9 = 22.5
Area of Large Triangle (white):
A = (1/2) * base * height = (1/2) * 10 * (12) = 60
Now, we find area of shaded region:
<em>Shaded Area = Area of Rectangle - Area of Small Triangle(White) - Area of Large Triangle(White)</em>
<em>Shaded Area = 180 - 22.5 - 60 = 97.5 sq. ft.</em>