Answer:
45
Step-by-step explanation:
3 over 2 so then you take the 30 over 1 then the 2 at the bottom you divide the 30 and the 2 and you get 15 then you take the 15 times 3 and that is your answer 45.
The critical values for x are -2 and -6.
We break the function domain into regions:
-∞ to -6 f(x) ≥ 0
-6 to-2 f(x) < 0 this is the correct statement, answer 2
-2 to +∞ f(x) ≥ 0
Answer: the correct option is f
Step-by-step explanation:
Since costs for standard veterinary services at a local animal hospital follow a Normal distribution, we would apply the the formula for normal distribution which is expressed as
z = (x - u)/s
Where
x = costs for standard veterinary services at a local animal hospital
u = mean cost
s = standard deviation
From the information given,
u = $88
s = $24
We want to determine the probability that one bill for veterinary services costs less than $42. It is expressed as
P(x lesser than or equal to 42)
For x = 42,
z = (42 - 88)/24 =- 1.92
Looking at the normal distribution table, the corresponding value for the z score is 0.02743
P(x lesser than or equal to 42) = 0.02743
Answer:
The area of remaining sheet is 1077cm²
Step-by-step explanation:
First, you have to find the area of circle using the formula, A = πr², where r is the radius of circle:
r = 20cm
A = π × 20²
= 400π cm²
Second, you have to find the area of rectangle:
A = 12 × 15
= 180 cm²
Lastly, you need to substact the area of rectangle feom the area of circle to find the remaining sheet that has not being cut:
A = 400π - 180
= 1077 cm² (3s.f)