The school can expect to raise 1500p for charity.
<u>Explanation:</u>
(a)
The possibility space is solved in the image attached.
(b)
20p for each player
30p for lollipop
Number of people = 120
Charity amount = ?
Out of 12 outcomes, the probability of getting 7 is 3
So, probability of getting 7 for 120 people = 
= 30
Money earned from the players = 20p X 120
= 2400p
Cost of 30 lollipops = 30p X 30
= 900p
Money received for charity = 2400p - 900p
= 1500p
Therefore, the school can expect to raise 1500p for charity.
Based on the information, there were initially 1200 ferns; the monthly percent rate of change is 68% and this situation is modeled by an exponential growth function
<h3>How to complete the information?</h3>
The given parameters from the question are:
P(n) = 1200(1.68)^n
Where
n represent the number of months
An exponential growth function is represented as:
P(n) = a * (1 + r)^n
Where
a represents the initial value
r represents the rate
By comparison, we have
a = 1200
1 + r = 1.68
This gives
r = 0.68 = 68%
Hence, there were initially 1200 ferns; the monthly percent rate of change is 68% and this situation is modeled by an exponential growth function
Read more about exponential growth function at:
brainly.com/question/2456547
#SPJ1
Answer:
(b) the unknown angle is 80°
Step-by-step explanation:
The unkown angle is:
[2(x-10)]°
Substituting "x" by 50 (part a)
[2(50-10)]°=[2(40)]°=80°
Step-by-step explanation:
given:
$12.50- the price of the tshirts
40- the tshirts they have sold
$850- the raise they need
solve:
$12.50 × 40 = $500 (the price of tshirts and tshirts they have sold)
$850 - $500 = $350 (the raise they need and the money they have so far from the 40 tshirts they have sold)
$350 ÷ $12.50 = 28 (the money they lack and the price of a tshirt)
answer:
thus, they need to sell 28 more tshirts to have the raise of at least $850
hope this helps, good luck! :)
Answer:
<em>B. The graph of g is the graph of f shifted 2 units down</em>
Step-by-step explanation:
<u>Graph of Functions</u>
We have two functions:
f(x)=3^x
g(x)=3^x-2
Since g(x)=f(x)-2 it will be represented as an identical graph as that for f(x), but vertically displaced 2 units down. Let's check it by plugging some points
f(0)=3^0=1
g(0)=3^0-2=-1
f(1)=3^1=3
g(1)=3^1-2=1
f(3)=3^3=27
g(3)=3^3-2=25
We can notice the values of g(x) are always 2 units below f(x), thus the correct answer is
B. The graph of g is the graph of f shifted 2 units down