Sum of angles in a triangle is 180°:
180 - 50 - 62 = 68
Sum of angles in a triangle is 180°:
180 - 80 - 53 = 47
Sum of angles in a triangle is 180° / Vertically opposite:
180 - 68 - 47 = 65°
Answer: 65°
Answer:
No, you didn't
Step-by-step explanation:
<u>20% of $1200 is:</u>
Since you saved $200 and its less than $240 you didn't reach your goal
Answer:
y = 3/2x + 6
Step-by-step explanation:
2/3 y - 4 = x
2/3y = x + 4
y = 3/2 * (x + 4)
y = 3/2x + 6
Answer:
4 is the maximum number of ride tickets she can buy
Step-by-step explanation:
Here, r represents the number of ride tickets and f represents number of food tickets.
The system of inequalities is given as:
r+f\geq 16 ....[1]
4r+2f\leq 40 .....[2]
To solve Mathematically:
Multiply equation [1] by -2 we have;
-2r-2f \leq -32 .....[3]
Add equation [2] and [3] we have;
2r \leq 8
Divide both sides by 2 we have;
r \leq 4
Since r must be less than or equal to 4.
You can also see the graph of the given system of inequalities as shown below.
The intersection point is, (4, 12)
Therefore, the maximum number of ride tickets she can buy is, 4
Answer: 2.5
Step-by-step explanation:
Let 
be the population mean .
Then, Null hypothesis : 
Alternative hypothesis : 
We assume that this is a normal distribution.
Given : Sample size : n=25 , since the sample is small (n<30) so we cannot apply z-test . Thus the test is t-test.
Sample mean : 
Population standard deviation : 
The test statistic for population mean is given by :-
i.e. 
Hence, the observed critical value = 2.5
