Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the given angles from 180 for B
B = 180° - (90 + 40)° = 180° - 130° = 150°
--------------------------------------------------------------
sin40° = 
= 
Multiply both sides by 21
21 × sin40° = a, thus
a ≈ 13.5 ( to the nearest tenth )
--------------------------------------------------------------
cos40° = 
= 
Multiply both sides by 21
21 × cos40° = b, thus
b ≈ 16.1 ( to the nearest tenth )
Answer: 0.28
Step-by-step explanation:
Binomial probability formula :
, where x = Number of success , n= sample size , p= probability of success for each trial.
Let x = Number of hens lay eggs.
then, p= 0.80
n= 12
For x=10
Hence, the required probability = 0.28
Answer:
32 pavers
Step-by-step explanation:
step 1
Find out the area of one square paver
The area of a square is
where
s is the length side of the square
we have
substitute
step 2
Find out the area of the rectangular patio
we know that
The area of a rectangle is
we have
substitute
step 3
Find out the number of pavers needed to build the patio
Divide the area of the rectangular patio by the area of one paver
The slope-intercept form is:
y = mx + b
where m = slope, and b = y-intercept.
You need a slope of 1, so m = 1.
You need a y-intercept of -1, so b = -1.
Replace m with 1 and b with -1 in the slope intercept form to get
y = 1x + (-1)
which simplifies to
y = x - 1
Percent means per one hundred so we can say that:
p/100≈(28)/(28+81+45+63+35) guessing with my old eyes :)
p/100≈28/252
p≈2800/252
p≈11.11%
So rounded to the nearest 5% you'd have:
p≈10%
