Miss Berk has 8 pairs of pajama pants and 3 pairs of slippers. Three pairs of the pajama pants are Harry Potter themed and one p
2 answers:
The probability that both items will be Harry Potter themed is 1/8.
<u>Step-by-step explanation:</u>
Total Number of pajama pants n(P) =8
Total number of slippers n(S)= 3
Number of Harry Potter themed Pajama pants n(H.P)=3
Number of Harry Potter themed slippers n(H.S)=1
We have to determine the probability of selecting pants and slippers that are both Harry Potter themed.
If two events A and B are independent, then the probability of A and B is given by
P(A and B)=P(A)*P(B)
Here the events selecting Harry potter themed pants and selecting harry Potter themed slippers are independent.
Hence probability of selecting Harry potter themed pants and Harry potter themed slippers is 1/8
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Let
x-------> t<span>he horizontal length of the roller coaster
y------> </span>the elevation of the roller coaster
c------> t<span>he incline of a roller coaster
</span>
we know that
applying the Pythagoras theorem
c²=x²+y²-----> equation 1
c=2y-----> equation 2
x=11+y----> equation 3
substitute equation 2 and equation 3 in equation 1
[2y]²=(11+y)²+y²
4y²=11²+22y+y²+y²
2y²-22y-121=0
using a graph tool-----> to resolve the second order equation
see the attached figure
the solution is
y=15.026 m
c=2*y-----> c=2*15.026----> c=30.052 m
the answer is
30.05 m
x-------> t<span>he horizontal length of the roller coaster
y------> </span>the elevation of the roller coaster
c------> t<span>he incline of a roller coaster
</span>
we know that
applying the Pythagoras theorem
c²=x²+y²-----> equation 1
c=2y-----> equation 2
x=11+y----> equation 3
substitute equation 2 and equation 3 in equation 1
[2y]²=(11+y)²+y²
4y²=11²+22y+y²+y²
2y²-22y-121=0
using a graph tool-----> to resolve the second order equation
see the attached figure
the solution is
y=15.026 m
c=2*y-----> c=2*15.026----> c=30.052 m
the answer is
30.05 m
Answer:
D. The cost of purchasing avocados for $1.75 per pound plus a shipping fee of $0.16 per pound.
Step-by-step explanation:
A linear relationship is of the form , where,
is the unit rate and
is the fixed value (constant).
For a proportional relationship, the value of and thus it is of the form
Let us check each option and express it in the form above.
Option A:
Given:
Unit rate of purchasing a basket of apples,
Fixed price for the basket,
Since, , therefore, it is not a proportional relationship.
Option B:
Given:
Unit rate of purchasing a banana,
Fixed price for the box,
Since, , therefore, it is not a proportional relationship.
Option C:
Given:
Unit rate of purchasing a lime,
Discount from total cost,
Since, , therefore, it is not a proportional relationship.
Option D:
Given:
Unit rate of purchasing an avocado =
Unit rate of shipping =
Therefore, total cost per pound is the sum of the unit rates of purchasing and shipping. So,
Total cost of avocados per pound,
There is no fixed cost on this. So,
Since, , therefore, it is a proportional relationship.
Therefore, the correct option is D.