Answer:
23
Step-by-step explanation:
The amount of children's tickets is x, while the amount of adults' tickets is 2x
5.1*x- the amount of money from children
9.6*2x= 19.2x- the amount of money from adults
5.1x+19.2x= 558.9
x=23 - child tickets
We have the following:
To calculate the total money, you have to add the amounts that Paula won, as follows

Which means that in total they are $ 14.95
Answer:
55
Step-by-step explanation:
The Distance between (-2, -5) and (-2, 6) is 11 and the distance between (-2, 5) and (3, 5) [the altitiude] is 5. 11 x 5 is 55 so therefore the area is 55 :)
Answer:
.
Step-by-step explanation:
We know that
compresses f(x) vertically such that
- if 0 < a < 1 (a fraction), the graph is compressed vertically by a factor of a units.
- if a > 1, the graph is stretched vertically by a factor of a units.
If we vertically compress the linear parent function, F(x) = x, by multiplying by
.
Then, the equation of the new function is
.
i.e.
.
Answer:
920 points.
Step-by-step explanation:
We have been given that the mean score for a standardized test is 800 and the standard deviation is 120. To qualify for a special summer camp for accelerated students, a student must score within the top 16% of all scores on the test.
First of all we will find probability of 0.16 using normal distribution table.
Using normal distribution our Z score will be 0.994458
Now we will use raw-score formula to find the score (x) that a student must make to qualify for summer camp.

Upon substituting our given values in above formula we will get,


Upon rounding to nearest whole number we will get,

Therefore, a student must make 920 points to qualify for summer camp.