Answer:
C. f(x) = 40(1/4)^x
Step-by-step explanation:
Check all the options:
When x = 0
A. f(x) = 1/4(40)^x
f(x) = 1/4(40)^0
f(x) = 1/4(1)
f(x) = 1/4
When x = 0
B. f(x) = 1/2(40)^x
= 1/2(40)^0
= 1/2(1)
f(x) = 1/2
When x = 0
C. f(x) = 40(1/4)^x
= 40(1/4)^0
= 40(1)
= 40
When x = 0
D. f(x) = 4(1/3)^x
= 4(1/3)^0
= 4(1)
= 4
Answer:
Nina practiced the viola for 11.25 hours last week.
Step-by-step explanation:
Juan practiced the violin for 9 hours last week. For each 3 hours that he practices the violin, he practices 2.5 hours of cello. So
3h violin - 2.5h cello
9h violin - xh cello


He practiced 7.5 hours of cello, the same as Nina.
For every 3 hours Nina spends practicing the viola she practices the cello for 2 hours. So:
3h viola - 2h cello
xh viola - 7.5h cello



Nina practiced the viola for 11.25 hours last week.
Answer:
a) 14960 bottles
b) 502 bottles
Step-by-step explanation:
Given that:
Mean (μ) = 24 ounces, standard deviation (σ) = 0.14 ounces
a) From empirical rule (68−95−99.7%) , 68% of the population fall within 1 standard deviation of the mean (μ ± 1σ).
Therefore 68% fall within 0.14 ounces of the mean
the number of bottle = 22,000*68% = 14960 bottles
b) To solve this we are going to use the z score equation given as:
where x is the raw score = 23.72

From the normal probability distribution table: P(X < 23.72) = P (Z < -2) = 0.0228
The number of rejected bottles = 22000 × 0.0228 = 502 bottles
Answer:
The length of the line segment is 10 units.
Step-by-step explanation:
Let us call the given two points: (x₁, y₁) = (2, -3) and (x₂, y₂) = (8, 5).
The distance between two points, d = 
Here,
and

Therefore, distance, d = 



= 10 units.
Hence, the answer.