well, let's split the hours in minutes, so since 1 hr is 60 minutes, so he can walk 2.833 miles in 60 minutes, well, 3 hrs is 3*60 = 180 minutes, then we add 15 minutes, that's 195 minutes.
if he can walk 2.833 miles in 60 minutes, how long will it be for 195 minutes?
Answer:
11, 12, 13
Step-by-step explanation:
x is the first number
(x + 1) is the second number
(x + 2) is the third number
x + x+1 + x+2 = 36
3x + 3 = 36
3x = 36 - 3
3x = 33
x = 11 ← the first number
the second number = x + 1 = 11 + 1 = 12
the third number = x + 2 = 11 + 2 = 13
The vertex of this parabola is at (3,-2). When the x-value is 4, the y-value is 3: (4,3) is a point on the parabola. Let's use the standard equation of a parabola in vertex form:
y-k = a(x-h)^2, where (h,k) is the vertex (here (3,-2)) and (x,y): (4,3) is another point on the parabola. Since (3,-2) is the lowest point of the parabola, and (4,3) is thus higher up, we know that the parabola opens up.
Substituting the given info into the equation y-k = a(x-h)^2, we get:
3-[-2] = a(4-3)^2, or 5 = a(1)^2. Thus, a = 5, and the equation of the parabola is
y+2 = 5(x-3)^2 The coefficient of the x^2 term is thus 5.
Answer:
P = 300
r = 0.15
n = 12
A(t) = 300(1.0125)^12t
Step-by-step explanation:
Given that:
Total credit taken for book purchase = $300
Annual Interest rate = 15% compounded monthly
Time or period = 4 years
P(1 + r/n)^nt
P in the expression above means the principal amount which is the total credit spent on book purchase = $300
r = annual interest rate on Emma's account = 15% = 15/100 = 0.15
n = number of compounding times per period ; loan which compounds monthly = number of months in a year = 12
Hence,
P = $300 ; r = 0.15 ; n = 12
Substituting into the equation :
P(1 + r/n)^nt
Simplified expression written in terms of t:
Final amount, A after t years
A(t) = 300(1 + 0.15/12)^12t
A(t) = 300(1 + 0.0125)^12t
A(t) = 300(1.0125)^12t
Answer:
Then the probability that 14 of the 19 voters will prefer Candidate A is approximately 0.1928 or 19.28%
Step-by-step explanation:
We can define X the random variable of interest "number of voters that will prefer Candidate A", since we have a sample size given and a probability of success we can use the binomial distribution to model the random variable. And on this case we can assume the following distribution:
The probability mass function for the Binomial distribution is given by:
Where (nCx) means combinatory and it's given by this formula:
For this problem we want to find this probability:
And usign the probability mass function defined before we got:
Then the probability that 14 of the 19 voters will prefer Candidate A is approximately 0.1928 or 19.28%
