Answer:
The child needs a score of 37.2 to move up to the next level of the competition.
Step-by-step explanation:
The mean is the sum of all scores divided by the number of competions. So

In which S is the sum of all her scores and T is the number of competitions.
The child has five competions:
Which means that 
She has to get a mean of at least 36.5, so 
Her scores are: 35.5, 36.3. 36.6, and 36.9. Her last score, i am going to call x. So

The child needs a score of _____ to move up to the next level of the competition.
This score is x. So




Answer:
Graph D is correct
Step-by-step explanation:
This is complicated because the scales on the x-axis and y-axis are not the same. Graph D has the correct y-intercepts and the correct slopes. The solution is x = 500, where the two lines intersect.
Answer:
answer -10
Step-by-step explanation:
Answer:

Step-by-step explanation:
We are given the following in the question:
Quantity, q
Selling price in dollars per yard, p

Total revenue earned =

f(20)=13000
This means that 13000 yards of fabric is sold when the selling price is 20 dollars per yard.
f′(20)=−550
This means that increasing the selling price by 1 dollar per yards there is a decrease in fabric sales by 550.
We have to find R'(20)
Differentiating the above expression, we have,

Putting the values, we get,

Answer:
z =15cm and
y=9.0cm
Step-by-step explanation:
Use sine rule
12/ sin53 = z / sin 90
Z = 12 x sin 90 / sin 53
Z = 15cm
To find y the angle opposite to y will be 180-(90+53)=37º
So
15/sin 90= y/sin37
y= 15 x sin37 /sin 90
y = 9.0cm