Answer:
is in proportion.
is not in proportion.
is in proportion.
is in proportion.
Step-by-step explanation:
The first example is and it is in proportion.
This is because, you will get the same simplest fraction (
) from the fraction 
by dividing its numerator and denominator by 5.
The second example is and it is not in proportion.
This is because, you can not get the simplest fraction (
) from the fraction 
after simplification.
The third example is and it is in proportion.
This is because, you will get the same simplest fraction (
) from the fraction 
by dividing its numerator and denominator by 2 and from the fraction 
by dividing its numerator and denominator by 3.
The fourth example is and it is in proportion.
This is because, you will get the same simplest fraction () from the fraction 
by dividing its numerator and denominator by 5. (Answer)
Answer:
A continuous probability distribution having a rectangular shape, where the probability is evenly distributed over an interval of numbers is a(n) __uniform__________ distribution
Step-by-step explanation:
Given that there is a continuous probability distribution having a rectangular shape, where the probability is evenly distributed over an interval of numbers
Since the pdf is rectangular in shape and total probability is one we can say all values in the interval would be equally likely
Say if the interval is (a,b) P(X) = p the same for all places
Since total probability is 1,
we get integral of P(X)=p(b-a) =1
Or p= 
this is nothing but a uniform distribution continuous defined in the interval
A continuous probability distribution having a rectangular shape, where the probability is evenly distributed over an interval of numbers is a(n) __uniform__________ distribution
Answer:
<u>dollars per hour rate = $10</u>
<u>hours per dollar = 6 minutes 15 seconds</u>
Step-by-step explanation:
Take note that one is singular (dollar) without an 's', and the other is plural (dollars). Thus, since her dollars per hour rate tells us how much she will earn for each hour of work, we would expect her hours per dollar rate to tell us how much she has to work in minutes to earn a single dollar ($1).
If we divide 
= $0.16 which indicates how much she earns for every minute she works at the theater. Further dividing this value into 1 minute we find the hour per dollar rate 1/0.16 = 6.25. minutes.
Plug 8 into the equation and divide it by that equation but with 5 plugged in
The possible values of the third angle are from 18° to 20°
Step-by-step explanation:
The sum of the measures of the angles in any triangle is 180°
The given is:
1. α and β are two angles of a triangle
2. 58° ≤ α ≤ 59°
3. 102° ≤ β ≤ 103°
Assume that the third angle is Ф
∵ α + β + Ф = 180°
- Subtract α + β from both sides
∴ Ф = 180 - (α + β) ⇒ (1)
∵ 58° ≤ α ≤ 59°
∵ 102° ≤ β ≤ 103°
- Add the two inequalities
∴ 160° ≤ α + β ≤ 162°
- By substituting α + B = 160 in equation 1
∴ Ф = 180 - 160
∴ Ф = 20°
- By substituting α + B = 162 in equation 1
∴ Ф = 180 - 162
∴ Ф = 18°
- Put Ф in the form of inequality
∴ 18° ≤ Ф ≤ 20°
The possible values of the third angle are from 18° to 20°
Learn more:
You can learn more about triangle in brainly.com/question/3617539
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