Answer:
(r + 20)t = r
Step-by-step explanation:
Distance is constant in the scenario above, distance from home to wedding and wedding back home is the same.
From wedding back home. :
Recall : Distance = speed * time
Distance = r * 1 hour
From home to wedding :
Speed = 20 mph more ; r + 20
Time = t
Distance = (r + 20)* t = (r +20)t
Since the distance are the same, we can equate both :
(r + 20)t = r * 1
= (r + 20)t = r
Answer:
(8, 10, 12, 14, 16) is the set which describes the set of even integers from 8 to 16
Step-by-step explanation:
To find the set of even integers from 8 to 16 as below :
There are 8,10,12,14,16 even integers in between the numbers 8 and 16
Therefore (8, 10, 12, 14, 16) is the set which describes the set of even integers from 8 to 16
Answer:
8.08%
Step-by-step explanation:
Suppose several high schools in a city are sponsoring a walk-athon to raise money for a local charity. A certain route is mapped out through the city and each participant finds sponsors to donate money for the walk. If a participant completes the walk under a certain time, extra money will be donated. You are responsible for recording the finishing times for each of the participants. After collecting all of the data, you determine that the finishing times are normally distributed with a mean of 2.6 hours and a standard deviation of 0.3 hour.
Answer:
Given that:
Mean (μ) = 2.6 hours and standard deviation (σ) = 0.3 hour, n = 2
The z score is used in statistics to determine the amount of standard deviation by which the raw score is above or below the mean. It is given by the equation:
, where x is the raw score.
If the sample size (n) is taken then the z score is given by:
Therefore for this problem the z score is:
From the normal distribution table, probability that two randomly chosen players completed the walk in 2.9 hours or more = P(x > 2.9) = P(z > 1.41) = 1 - P(z < 1.41) = 1 - 0.9192 = 0.0808 = 8.08%
Dy/dx = y/(x^2)
dy/y = dx/(x^2)
int[dy/y] = int[dx/(x^2)] ... apply integral to both sides
ln(|y|) = (-1/x) + C
|y| = e^{(-1/x) + C}
|y| = e^C*e^(-1/x)
|y| = C*e^(-1/x)
y = C*e^(-1/x)
So you have the correct answer. Nice job.
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Check:
y = C*e^(-1/x)
dy/dx = d/dx[C*e^(-1/x)]
dy/dx = d/dx[-1/x]*C*e^(-1/x)
dy/dx = (1/(x^2))*C*e^(-1/x)
is the expression for the left hand side (LHS)
y/(x^2) = [C*e^(-1/x)]/(x^2)
y/(x^2) = (1/(x^2))*C*e^(-1/x)
is the expression for the right hand side (RHS)
Since LHS = RHS, this confirms the solution for dy/dx = y/(x^2)
The integers that make the linear equation false are:
3, 78, and 126
We found that by evaluating the equation in all the options.
<h3>Which integers make the equation false?</h3>
Here we have the linear equation:
8m - 15 = 5m + 63
And the possible solutions are:
S: {3, 26, 78, 126}
To see which of these integers make the equation false, we can replace the value of m by the given values and see when the equation is false (the number in the left is different to the one in the right).
if m = 3
8*3 - 15 = 5*3 + 63
9 = 78 this is false.
if m = 26
8*26 - 15 = 5*26 + 63
193 = 193 this is true.
if m = 78
8*78 - 15 = 5*78 + 63
609 = 453 this is false.
if m= 126
8*126 - 15 = 5*126 + 63
993 = 693 this is false.
So the integers that make the equation false are:
3, 78, and 126.
Learn more about linear equations:
brainly.com/question/1884491
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