Answer:
Total area = 26.13 ft²
Step-by-step explanation:
area of a triangle = 1/2 x base x height
From inspection, the base of the triangle = 3 x 2 = 6
and the height of the triangle = 4
⇒ area = 1/2 x 6 x 4 = 12 ft²
area of a semicircle = 
⇒ area = 
⇒ area = 14.13 ft²
Total area = 12 + 14.13 = 26.13 ft²
Answer:
87.75
Step-by-step explanation:
19.74 + 72.73= 92.47
92.47 - 4.72 = 87.75
Answer:
530.66 cm^2.
Step-by-step explanation:
Area = 3.14 *r^2
= 3.14 * 13^2
= 530.66 cm^2
Answer:
We do not reject the null
Step-by-step explanation:
Given that :
Sample size, n = 41
Test statistic ; Zstatistic ;= 1.53
Critical value ; Zcritical ; = 2.57
The null hypothesis H0 ;
H0: μ1 - μ2 = 0
Alternative hypothesis, H1 ;
H1: μ1 ≠ μ2
Decision region :
Reject Null ; if |Zstatistic ≥ Zcritical|
Zstatistic > Zcritical
Result :
1.53 < 2.57
Zstatistic < Zcritical
Hence, we do not reject the null ; there is no significant evidence that there is difference in the average yield of the two samples.
Answer:
16 rides
Step-by-step explanation:
Option 1 . Admission fee = $10
Each ride = $0.50
Option 2 . Admission fee = $6
Each ride = $0.75
Let no. of rides be x
So, cost of ride according to option 1 = 0.50x
So, total cost after having x rides according to option 1 :
= 10+0.50x ---1
Cost of ride according to option 2 = 0.75x
So, total cost after having x rides according to option 2 :
= 6+0.75x --2
Now to find the beak even point i.e. having the same cost
Equate 1 and 2





Thus for 16 rides , the two options have the same cost .
Hence the break even point is 16 rides