Answer:
Independent variable = the time. Dependent variable = amount of water per minute
Step-by-step explanation;
The total amount of water depends on how long the hose is left on.
Step-by-step explanation:
Answer:
f^-1(x) = 1/4 x - 7/4
Step-by-step explanation:
f(x)=4x+7
Inverse:
x = 4y + 7
4y = x - 7
y = 1/4 x - 7/4
Answer
f^-1(x) = 1/4 x - 7/4
You would use the cosine rule for this as you have 2 lines and are given the angle between them
The angle can be figured out easily as the clock has 12 equal components, meaning each component is 360/12 which is 30
As there are 5 components between A and B the angle is 30*5 =150
You can plug all of this into the cosine rule
a^2= b^2+c^2-2bcCos(A)
So a = sqrt( 10^2 +7^2 -(2*10*7) cos150)
a=16.4 to 3 sf
Answer:
4.76% probability that a randomly selected person from the population has a positive test result
Step-by-step explanation:
We have these following probabilities:
4% probability of having the disease.
If a person has a disease, 95% probability of a positive test.
100-4 = 96% probability a person does not have the disease.
If a person does not have the disease, 1% probability of a positive test.
What is the probability that a randomly selected person from the population has a positive test result
95% of 4% and 1% of 96%. So
p = 0.95*0.04 + 0.01*0.96 = 0.0476
4.76% probability that a randomly selected person from the population has a positive test result
I think the answer is c but I'm not sure
