First, find the number of shaded blocks.
shaded blocks = 8 × 3
shaded blocks = 24
There are 24 shaded blocks
Second, find the number of the blocks
all blocks = 8 × 10
all blocks = 80
There are 80 blocks in total.
Third, write a fraction defining the shaded blocks compare to the blocks in total
fraction = 24/80
simplify
fraction = 3/10
Fourth, change the fraction into percent
Percent means per hundred. Change the denominator to 100
fraction = 3/10
percent = (3 × 10) / (10 × 10)
percent = 30/100
percent = 30%
The percentage of the blocks shaded in the picture is 30%
xBar ± z * sx / sqrt(n)
where xBar is the sample
mean
z is the zscore for having
α% of the data in the tails, i.e., P( |Z| > z) = α
sx is the sample standard
deviation
n is the sample size
For sample size
calcualtions we need the following. The width of the interval, from one end
point to the center is:
z * sx / sqrt(n) =
w and solving for n gives:
<span> n = (z * sx / w) ^ 2 </span>
remember that n needs to
be an integer. Always take the ceiling, i.e., round up. If you round down then
the width of the interval will not be correct, it will be too wide. By rounding
up, the interval will be more narrow than asked for, but this is a good thing.
It means there is more precision in the estimate.
<span> here we have </span>
z = 2.05
w = 0.04 * 152 = 6.08
n = (z * sx / w) ^ 2 n =
(2.05 * 26 / 6.08)^2
n = 76.8506
Round of the answer since
n must be an integer.
<span>n = 77 </span>
Hello! I am happy to help you.
What you do for this problem is you take the total distance and divide by the times traveled.
1182 / 12 = 98.5.
The trail is 98.5 km long.
Hope this helps.
The asnwer is 28. Since 7 is one of the factors,and 7+x=11,you would do 11-7 to find x. After doing 11-7 to find x (4),then you multiply 7 and 4 since they are the factors of the missing number. 7×4 is 28,therefore,you are the number 28.
9514 1404 393
Answer:
103°
Step-by-step explanation:
The law of sines tells you ...
sin(C)/c = sin(A)/a
sin(C) = (c/a)sin(A)
C = arcsin(c/a·sin(A)) = arcsin(37/19·sin(30°)) ≈ 180° -76.8° ≈ 103°
Obtuse angle C is about 103°.
