Answer:
Each point (or pair) in a proportional relationship must share the same ratio.
Step-by-step explanation:
a proportional relationship must share the same ratio in order to be proportional it doesn't madder in what way it is proportional.
Answer:
Step-by-step explanation:
Given the length of the bugs as shown;
Lady bug = 3/8
Ant = 1/4
Firefly = 7/8
Honey bee = 0.8
Deer tick = 0.2
Before we arrange the length in ascending order (shortest to longest), we will have to represent them in percentage.
Lady bug = 3/8×100
= 300/8
= 37.5%
Ant = 1/4×100
Ant = 25%
Firefly = 7/8 × 100
Firefly = 87.5%
Honey bee = 0.8×100
Honey bee = 80%
Deer tick = 0.2×100
Deer tick = 20%
On rearranging in ascending order:
20%, 25%, 37.5%, 80%, 87.5%
Based on the insect
Deer tick, Ant, ladybug, honey bee, Firefly
Based on their length:
0.2, 1/4, 3/8, 0.8, 7/8
Answer:
The domain of f(x) is x>-2, so the range of f-1(x) is y>-2
The range of f(x) is y>-1, so the domain of the f-1(x) is x>-1
Step-by-step explanation:
Answer:
The spinner has 6 equal-sized slices, so each slice has a 1/6 probability of showing up.
I guess that we want to find the expected value in one spin:
number 1: wins $1
number 2: wins $3
number 3: wins $5
number 4: wins $7
number 5: losses $8
number 6: loses $8
The expected value can be calculated as:
Ev = ∑xₙpₙ
where xₙ is the event and pₙ is the probability.
We know that the probability for all the events is 1/6, so we have:
Ev = ($1 + $3 + $5 + $7 - $8 - $8)*(1/6) = $0
So the expected value of this game is $0, wich implies that is a fair game.
I believe the correct answers are:
<span>UV = 14 ft and m∠TUV = 45°</span>
<span>ST = 20 ft, UV = 14 ft, and m∠UST = 98°
Or, in other words, Options A and D.
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