400 children and 600 adults bought tickets.
Step-by-step explanation:
Given,
Cost of one child ticket = $14
Cost of one adult ticket = $32
Total attendance = 1000
Revenue generated = $24800
Let,
x be the number of children.
y be the number of adults.
According to given statement;
x+y=1000 Eqn 1
14x+32y=24800 Eqn 2
Multiplying Eqn 1 by 14
Subtracting Eqn 3 from Eqn 2
Dividing both sides by 18
Putting y=800 in Eqn 1
400 children and 600 adults bought tickets.
Keywords: linear equations, subtraction
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Solution:
we are given that
John is 3 years older than Jim. Jim is 4 years less than half of Dana’s age.
Let the age of Jim be x years then we can say
Age of John
If diana Age is D then
It can be re-wriiten as
Diana age
Given that their ages add up to 167
Hence jim is 39 nyears old, John is 39+3=42 years old. and Diana is 2*39+8=78+8=86 years old.
Answer:
1. 516 ppm; 2. 561 ppm
Step-by-step explanation:
1. CO₂ increase at old rate
Time = 2100 - 2010 = 90 years
Increase in CO₂ = 90 yr × (1.4 ppm/1 yr) = 126 ppm
CO₂ in 2010 = 390 + 126 = 516 ppm
At the old rate, the CO₂ concentration in 2100 will be 516 ppm.
2. CO₂ increase at new rate
Time = 2100 - 2010 = 90 years
Increase in CO₂ = 90 yr × (1.9 ppm/1 yr) = 171 ppm
CO₂ in 2010 = 390 + 171 = 561 ppm
At the new rate, the CO₂ concentration in 2100 will be 561 ppm.
Answer:
(i) Five number summary: Minimum value = 1, ,
,
, Maximum value = 26.
(ii) IQR = 2.5, upper fence = 24.25 and lower fence = 14.25.
(iii) 26 is an outlier of the data.
Step-by-step explanation:
The given data set is
19, 18, 23, 18, 18, 26, 19, 16, 20, 18, 17, 21
Arrange the data set in ascending order.
16, 17, 18, 18, 18, 18, 19, 19, 20, 21, 23, 26
Divide the data set in 4 equal parts.
(16, 17, 18), (18, 18, 18), (19, 19, 20), (21, 23, 26)
Minimum value = 16
Maximum value = 26
The inter quartile range (IQR) of the data is
Upper fence :
Lower fence :
If the any element of the data set lies out side the upper fence and lower fence, then it is called an outlier.
26 ∉ [14.25, 24.25]
Therefore, 26 is an outlier of the data.