Answer:
26 times
Step-by-step explanation:
The question has missing details. However, the given parameters are
Given
Without Coupon
Bus Fare = $2.00
With Coupon
Coupon = $39.00
Bus Fare = $0.50
Represent the number of fares with x
Without Coupon, cost of fares is
Cost = 2x
i.e.
f(x) = 2x
With Coupon, cost of fares is
Cost = 39 + 0.5x
i.e.
g(x) = 39 + 0.5x
To calculate when both fares will be equal, we must have:
f(x) = g(x)
2x = 39 + 0.5x
Collect like terms
2x - 0.5x = 39
1.5x = 39
Solve for x
x = 39/1.5
x = 26
This implies that, for both cost to be equal, the person must go 26 times
The answer is: The sum of angles A and B are supplementary to able C
Answer:
The river is 3.15 feet deep.
Step-by-step explanation:
First let's recognize what we need to find: the depth of the river
We know last year the river was 4.2 feet deep, but it dropped 25%. This means we also need to find how much it dropped. To find this, we need to know what 25% of 4.2 is. Write an equation for this.
y = 25% of 4.2
y = 0.25 • 4.2
y = 1.05
This means that the river dropped 1.05 feet. To know its depth now, we need to subtract 1.05 from 4.2. Write an equation for this.
d = 4.2 - 1.05
d = 3.15
The river is 3.15 feet deep.
Hope this helps!
Answer:
81 samples
Step-by-step explanation:
According to the empirical rule :
Possible values of the sample mean is within 3 standard deviations of the population mean :
μ ± 3 sd(x) ; sd(x) = standard deviation of sampling distribution.
3 * sd(x) = 1
sd(x) = 1/3
Recall:
Standard deviation of sampling distribution, sd(x)
sd(x) = σ / sqrt(n)
1/3 = 3 / sqrt(n)
Square both sides
1/9 = 9/n
Cross multiply :
n * 1 = 9 * 9
n = 81
Use the geometric mean for right triangles here. Like this
. Cross multiply to get
, and
. That simplifies down to
. Pull out the 9 as a perfect square of 3 and you're left with
, first choice above.
