Answer:
1/9
Step-by-step explanation:
135 in Sport centre: Total
59:swimming pool
31:track
19 both swimming and gym
16 gym and track
4 all three facilities
4 people use all three facilities, then
16 - 4 = 12 people use the gym and the track and do not use the pool;
9 - 4 = 5 people use the pool and the track and do not use the gym;
19 - 4 = 15 people use the gym and the pool and do not use the track.
At least two facilities use 4 + 12 + 5 + 15 = 36 people, 4 of them use all three facilities. Thus, the probability that a randomly selected person which uses at least two facilities, uses all the facilities is
4/36=1/9
Hope this helps!!!
Answer:
Cross price elasticity using midpoint method = 0.56
Step-by-step explanation:
Using the mid-point method
Cross-price Elasticity of Demand = <u>% change in Quantity demanded of UPS</u>
% change of price of FedEx
%change in Quantity demanded of UPS
using Mid-point method = <u> Q2-Q1 </u> × 100
(Q1+Q2)÷ 2
= <u>1.3-1.2 </u> × 100
(1.2+1.3)÷2
= <u>0.1 </u> × 100
1.25
= 8%
% change in price of FedEx
using midpoint method =<u> P2-P1 </u>× 100
(P1+P2)÷ 2
=<u> 75-65 </u>× 100
(65+75)÷2
=<u> 10 </u> × 100
70
= 14.28%
Cross-price Elasticity of Demand = 8% ÷ 14.28%
using midpoint method = 0.56
Answer:
x > 36 in
Step-by-step explanation:
Let x = the width of the picture frame.
Then x + 6 = the length of the frame.
The formula for the perimeter P of a rectangle is'
P = 2l + 2w.
So, the condition is
2l + 2w > 156
2(x + 6) + 2x > 156 Distribute the 2
2x + 12 + 2x > 156 Combine like terms
4x + 12 > 156 Subtract 12 from each side
4x > 144 Divide each side by 4
x > 36
The perimeter of the picture frame will be greater than 156 in if x > 36 in.
Answer:
13
Step-by-step explanation:
The GCF of 36, 48, and 72 is 12 so there will be 36 / 12 = 3 stacks of English books, 48 / 12 = 4 stacks of science books and 72 / 12 = 6 stacks of math books for a total of 3 + 4 + 6 = 13 stacks.
Total internal energy increases by 1760 J
Step-by-step explanation:
The kinetic energy of an object is the energy possessed by the object due to its motion.
It is calculated as
where
m is the mass of the object
v is its speed
For the hammer in this problem:
m = 2.50 kg
v = 65.0 m/s
So its kinetic energy is
Then the problem says that 1/3 of the hammer's kinetic energy is converted into internal energy: therefore, the total internal energy increases by
Learn more about kinetic energy:
brainly.com/question/6536722
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