1.
The edge lengths of a triangle are inversely proportional to 2,3 and 4.
The actual proportions of the lengths are then
12(1/2:1/3:1/4)=6:4:3
The longest side
= 39* (6/(6+4+3)
= 39*6/13
=18
2. 63 breads : 35 kg flour
is the same as
54 breads : x kg flour
Cross multiply and get
x=54*35/63=30
30 kg of flour are needed to make 54 breads.
When you bring something up or move something down, you have to multiply the exponent by -1. So in this case, you are bringing up the exponent. Multiply 5 by -1 and your answer should be x^5/1.
Answer:
B., E.
Step-by-step explanation:
what was the difficulty ? this is just to understand the movement of a thrown rock.
what happens, when you throw a rock through the air ? it will first move up a little bit, reaches a maximum height, and then drops down again.
that is what the graphic shows.
so, can A. be correct ? no. as we move from 0 seconds to the right (time passes) the height of the rock increases first (before decreasing again later on).
can C. be correct ? no, it would mean that the function would look the same on both sides of the x-axis. this is clearly impossible.
can D. be correct ? no, nowhere in the graph is the height (= the functional value, the y to the x) negative.
can F. be correct ? no, we clearly see the maximum height at 1.5 seconds. at 3 seconds the height is actually at its minimum.
Answer:
16)<1 and <7
<8 and <2
<6 and <4
<3 and <5
17)<2 and <3
<7 and <6
18)<1 and <3
<8 and <6
<7 and <5
<2 and <4
19) <1 and <5
<4 and <8
20)<7 and <3
<2 and <6
Step-by-step explanation:
Answer:
15.85%
Step-by-step explanation:
Empirical rule states that for a normal distribution, 68% of the data falls within one standard deviation, 95% falls within two standard deviation and 99.7% falls within three standard deviation.
Given mean (μ) = 41 months, standard deviation (σ) = 5 months
One standard deviation = μ ± σ = 41 ± 5 = (36, 46)
Therefore 68% falls within 36 months and 41 months
Two standard deviation = μ ± 2σ = 41 ± 2(5) = (31,51)
Therefore 95% falls within 31 months and 51 months
Three standard deviation = μ ± 3σ = 41 ± 3(5) = (26, 56)
Therefore 99.7% falls within 26 months and 56 months
The percentage of cars that remain in service between 46 and 51 months = 32%/2 - 0.3%/2 = 16% - 0.15% = 15.85%
