Answer:
Distribution 4, mean is 20 and standard deviation is 3.2
Step-by-step explanation:
The standard deviation tells us on average how far each of our data values is from the mean. A standard deviation that is larger than the others will mean a distribution that is more spread out than the others; 3.2 is the largest standard deviation, so Distribution 4 has the greatest spread.
Y = mx + b
b: y-intercept (when x equals zero)
m: slope ((y₂ - y₁) ÷ (x₂ - x₁))
Y - Intercept:
To find the y-intercept, just look at the table. The y-intercept is whatever y equals when x equals zero. In this case it is -8.
Slope:
(y₂ - y₁) ÷ (x₂ - x₁)
Pick two points and substitute them into this equation. Let's use (-3, 1) and (-2, -2).
(-2 - 1) ÷ (-2 + 3)
-3 ÷ 1
-3
Now substitute these values back into the equation.
y = mx + b
y = -3x - 8
The answer is a.
Answer:
4y + 1 = 4 - 5y
First option
Step-by-step explanation:
x - 4y - 1 =0; add both sides by + 4y + 1
x - 4y - 1 + 4y + 1 = 0 + 4y + 1
Simplifying
x = 4y + 1
x + 5y - 4 = 0; Add (-5y + 4) to both sides
x + 5y - 4 -5y + 4 = 0 -5y + 4
Simplying
x = -5y +4
x = 4 - 5y
Now you have both equations
x = 4y + 1
x= 4 - 5y
Now you can use the comparison method
4y + 1 = 4 - 5y
What we know:
3.14 pi
radius: 7in.
Result units: in^3, this is the results of in used for radius; no conversion needed
Formula volume of a sphere: (4/3)* pi * r^3
(4/3)(3.14)(7)(7)(7)
(4/3)(3.14)(343)
(4/3)(1077.02)
(1.3)(1077.02) \\repeated 3 infinite
1436.026666\\repeated 6inf
The volume of the sphere is about 1436.0266 in^3
Answer:
The cost of 5 hours of skiing would be the same ($125) after 5 hours.
Step-by-step explanation:
Black Diamond: ChargeBD(h) = $50 + ($15/hr)h, where h is the number of hours spent skiing.
Bunny Hill: ChargeBH(h) = $75 + ($10/hr)h
We equate these two formulas to determine when the cost of using the ski slopes is the same:
ChargeBD(h) = $50 + ($15/hr)h = ChargeBH(h) = $75 + ($10/hr)h
We must now solve for h, the number of hours spent skiing:
50 + 15h = 75 + 10h
Grouping like terms, we obtain:
5h = 25, and so h = 5 hours.
The cost of 5 hours of skiing would be the same ($125) after 5 hours.
