Lets say y is number of adult tickets and x is number of student tickets
x+y=348
2x+y=348
(2x since I know that the student tickets are twice as much as adult tickets)
I now know that that student tickets make up 2/3 of the total number of tickets and 1/3 make up the number of adults tickets. So...
1/3 x 348= 116 adult tickets
2/3 x 348=232 student tickets
Answer:
Step-by-step explanation:
Let x be the random variable representing the set of art exam scores. Since they are normally distributed and the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = standard deviation
From the information given,
µ = 81
σ = 10
the probability of getting a score lower than 78 is expressed as
P(x < 78)
For x = 78,
z = (78 - 81)/10 = - 0.3
Looking at the normal distribution table, the probability corresponding to the z score is 0.38
Therefore, the percentage of exam scores that are lower than Calvin's score is
0.38 × 100 = 38%
Answer:
<h2>36ft cubed</h2>
Step-by-step explanation:
The total volume is 36ft. In order to find the volume, you can split this up into 3 boxes.
The first box go with the dimensions of 3ft (length) by 2 ft (width) by 1ft (height), multiply that, you get 6ft
The second box go with the dimensions of 3ft (length) by 4ft (width) by 1ft (height), multiply that, you get 12ft
The third box go with the dimensions of 3ft (length) by 6ft (width) by 1ft (height), multiply that, you get 18ft
Lastly, add together the 3 boxes, (6+12+18), which you get 36ft, and since this is volume, it is 36ft cubed
The easiest route I think here is to check if angles are congruent. basically if they are the same. can you find the missing angles in each. a hint, all angles of a triangle need to add to 180