Answer:
adults tickets=1384
kids:616 tickets
1384-616= 768 tickets
Step-by-step explanation:
let x be adult tickets and y kids
x+y=2000 ⇒x=2000-y
20x+12y=35072 solve by substitute for x=2000-y
20(2000-y)+12y=35072
40000-20y+12y=35072
-8y=35072-40000
-8y=-4928
y=-4928/-8
y=616
x=2000-616
x=1384 tickets
check:
20(1384)+12(616)=35072 ( correct)
Answer:
Step-by-step explanation:
<h3>Given</h3>
- ΔXYZ with m∠Z > m∠X + m∠Y
<h3>Options</h3>
<u>m∠X + m∠Z < 90°</u>
- incorrect, the sum of these two angles should be > 90°
<u>m∠Y > 90°</u>
- incorrect, it should be < 90°
<u>∠X and ∠Y are complementary</u>
- incorrect as angle Z is greater that the sum of angles X and Y, then sum of three angles would be greater than 180°
<u>m∠X + m∠Y < 90°</u>
- correct, this is the only possible option
Answer:
1.22 feet, or 1 11/50 ft
Step-by-step explanation:
Find 1/25 th of 30 1/2 feet:
1 61 ft
----- * ---------- = 1.22 feet, or 1 11/50 ft
25 2
The length of the model is 1.22 feet, or 1 11/50 ft
Answer:
The 90% confidence level is 
Step-by-step explanation:
From the question we are told that
The sample size is 
The mean age is 
The standard deviation is 
Generally the degree of freedom for this data set is mathematically represented as
substituting values
Given that the level of confidence is 90% the significance level is mathematically evaluated as

10 %

Now 
Since we are considering a on tail experiment
The critical value for half of this significance level at the calculated degree of freedom is obtained from the critical value table as

The margin for error is mathematically represented as

substituting values


he 90% confidence interval for the true average age of all students in the university is evaluated as follows

substituting values


Answer:
the planes ground speed is 658.94 kph
Step-by-step explanation: