Answer:
1/4,
Step-by-step explanation:
Answer:
66.7 in^3
Step-by-step explanation:
The volume of a triangular pyramid is given by
V = 1/3 B h
where B is the area of the base and h is the height
Calculate the area of the base. The base is a triangle
B = 1/2 bh where b is 8 and h is 5
= 1/2 (8) * 5
=20
V = 1/3 (20) 10
66.6666666
To the nearest tenth
66.7 in^3
Using the empirical rule 68% would fall within one standard deviation of the mean.
The standard deviation is given as 2 inches and the mean is 49 inches.
Since it is only one standard deviation find the lower number by subtracting the standard deviation from the mean and find the higher number by adding the standard deviation to the mean.
49 - 2 = 47
49 + 2 = 51
68% would be between 47 inches and 51 inches tall.
Answer:
20.3 units
Step-by-step explanation:
Write and solve an equation involving ratios:
5 units 15.7 units
------------- = ----------------
9 units C
Cross-multiplying, we get 5C = 9(15.7), with C measured in "units."
Then 5C = 141.3, so that C = 141.3 units / 5 = 20.3 units.
Direct Proportion functions look like this:
y=kx
'k' is the constant of proportionality and in this case its 7.5 or 15/2.
--------------------------------------------
When x=1, y=7.5
When x=2, y=15
When x=3, y=22.5
Therefore y is directly proportional to x.
--------------------------------------
DIRECT PROPORTION EXPLAINED:
Say a football costs £7.50. If you buy one football you'll have to pay out £7.50, but if you you buy two footballs you'll have to pay out £15.00. Therefore the cost of the football(s) is directly proportional to the amount of footballs you buy. C=cost, f=football(s) and C<span>∝f, therefore C=kf, but as k=7.5, C=7.5f.
INVERSE PROPORTION EXPLAINED:
If it were to take 8 hours for one bricklayer to set up a wall, how long would it take for two bricklayers to set up a wall? The answer in this case would be 4 hours.
T=time to set up a wall
b=bricklayer(s)
Therefore T</span><span>∝1/b, and T=k/b. In this case k=8 so T=8/b.
When b=1, T=8.
When b=2, T=4.
We'd say that the time it would take for bricklayers to set up a wall would be inversely proportional to the amount of bricklayers available.</span>
