the money given by joe to hector is 125$
let the hector works for x weeks,
it is given that hector earns 50$ in a week,
so the total money hector wants to save is 1100$
now
from the above inequality, we will find x
it means the hector will work for 20 weeks in order to earn 1100$.
<h3>
Answer: Slope = -3/4</h3>
slope = rise/run
rise = -3 ... move down 3 units
run = 4 .... move to the right 4 units
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Work Shown:
m = slope
m = rise/run
m = (change in y)/(change in x)
m = (y2-y1)/(x2-x1)
m = (-17-(-2))/(24-4)
m = (-17+2)/(24-4)
m = -15/20
m = -3/4 is the slope
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It basically means "move down 3 units, and move to the right 4 units"
So, slope = rise/run = -3/4
rise = -3 = move down 3 units
run = 4 = move to the right 4
You could express the slope as a decimal, and that would be -3/4 = -0.75, but you lose the rise and run values. So I recommend you keep the fraction.
Another problem with decimals is that sometimes we could have approximations that aren't exact. For example, if the slope was 2/3, then that approximates to 0.667 which may cause rounding errors down the line. Though I should point out that decimals do have their advantages in some cases.
Answer:
a) The interval for those who want to go out earlier is between 43.008 and 46.592
b) The interval for those who want to go out later is between 47.9232 and 51.9168
Step-by-step explanation:
Given that:
Sample size (n) =128,
Margin of error (e) = ±4% =
a) The probability of those who wanted to get out earlier (p) = 35% = 0.35
The mean of the distribution (μ) = np = 128 * 0.35 = 44.8
The margin of error = ± 4% of 448 = 0.04 × 44.8 = ± 1.792
The interval = μ ± e = 44.8 ± 1.792 = (43.008, 46.592)
b) The probability of those who wanted to start school get out later (p) = 39% = 0.39
The mean of the distribution (μ) = np = 128 * 0.39 = 49.92
The margin of error = ± 4% of 448 = 0.04 × 49.92 = ± 1.9968
The interval = μ ± e = 44.8 ± 1.792 = (47.9232, 51.9168)
The way for those who want to go out earlier to win if the vote is counted is if those who do not have any opinion vote that they want to go earlier
Radius of cone is decreasing at the rate of 
inches
What is rate of change?
Suppose there is a function and there are two quantities. If one quantity of a function changes, the rate at which other quantity of the function changes is called rate of change of a function.
Here rate of change of radius of cone has been calculated
Radius of cone = 18 inches
Height of cone = 11 inches
Volume of cone (V) = 
Radius of cone is decreasing at the rate of inches
To learn more about rate of change, refer to the link-
brainly.com/question/24313700
#SPJ4
Answer:
{-1, 0, 1}
Step-by-step explanation:
If your function is f(x) = 1/2x -2, then the range is found by executing the function on each of the domain values:
f(2) = 2/2 -2 = -1
f(4) = 4/2 -2 = 0
f(6) = 6/2 -2 = 1
The range is {-1, 0, 1}.
