Answer:
30 + 6x inches
Step-by-step explanation:
Let the required number be x
If the length of the triangle for the pool table is the twice the sum of 5 and a number
L = 2(5+x)
L = 10+2x
Since the triangle is quadilateral, this means that all sides are equal
Perimeter = 3L
Perimeter = 3(10+2x)
Perimeter = 30+6x
Hence the perimeter, in inches, of the triangle is 30 + 6x inches
Answer:
Step-by-step explanation:
We would assume a binomial distribution for the number of college students that said they use credit cards because of the rewards program. The formula is expressed as
P(x = r) = nCr × p^r × q^(n - r)
Where
x represent the number of successes.
p represents the probability of success.
q = (1 - r) represents the probability of failure.
n represents the number of trials or sample.
From the information given,
p = 37% = 37/100 = 0.37
q = 1 - p = 1 - 0.37
q = 0.63
n = 10
a) P(x = 2)
Therefore,
P(x = 2) = 10C2 × 0.37^2 × 0.63^(10 - 2)
P(x = 2) = 45 × 0.1369 × 0.02481557803
P(x = 2) = 0.15
b) P(x>2) = 1 - P(x ≤ 2)
P(x ≤ 2) = P(x = 0) + P(x = 1) + P(x = 2)
P(x = 0) = 10C0 × 0.37^0 × 0.63^(10 - 0) = 0.0098
P(x = 1) = 10C1 × 0.37^1 × 0.63^(10 - 1) = 0.058
P(x = 2) = 0.15
P(x ≤ 2) = 0.0098 + 0.058 + 0.15 = 0.22
P(x>2) = 1 - 0.22 = 0.78
Answer:
c=3
Step-by-step explanation:
Answer:
Slope and y-intercept
Step-by-step explanation:
The complete question is shown in the image attached with.
For each trip an initial fee of $ 25 is charged and $ 0.10 is charged for each vertical meter descended.
Since, for each vertical meter the charge is $ 0.10, for x meters the charges will be $ 0.10x. So,
Total charges of the trip would be:
Total charges/fee = Initial Fee + Fee for x meters
y = 25 + 0.10x
y = 0.10x + 25
The general slope intercept form of the equation of the line is:
y = mx + c
Where,
m = slope of the line
c = y-intercept
Compairing both the equations given above we, get:
Slope of line = m = 0.10
y-intercept = c = 25
So, the given statements gives us the slope and the y-intercept of the graph.
Answer:
2.5 m/s
Step-by-step explanation:
Matty's speed = 9 km/hr
We need to convert 9 km/hr to m/s
We know that,
1 km = 1000 m
1 hour = 3600 seconds
So, Matty jogs with the speed of 2.5 m/s.