Answer:
94 cm^2
Step-by-step explanation:
The surface area of a rectangular prism can be found using:
A=2(wl+hl+hw)
We know the width is 3, the height is 5, and the length is 4. We can substitute 3 in for w, 5 in for h, and 4 in for l.
A=2((3*4)+(5*4)+(5*3))
Multiply 3 and 4
A=2(12+(5*4)+(5*3))
Multiply 5 and 4
A=2(12+20+(5*3))
Multiply 5 and 3
A=2(12+20+15)
Add 12 and 20 and 15
A=2(47)
Multiply 2 and 47
A=94
So, the the surface area is 94 cm^2
Answer:
68% of the sample can be expected to fall between 28 and 32 cm
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 30
Standard deviation = 2
What proportion of the sample can be expected to fall between 28 and 32 cm
28 = 30-2
28 is one standard deviation below the mean
32 = 30 + 2
32 is one standard deviation above the mean
By the Empirical Rule, 68% of the sample can be expected to fall between 28 and 32 cm
Answer:If two lines are cut by a transversal and the consecutive interior angles are supplementary ...
Step-by-step explanation:
Answer:
y= (3/2)x-3
Step-by-step explanation:
We need two points to find the equation of a line. Let's take (2,0) and (4, 3).
In the equation y=mx+b, m represents the slope. To find the slope, we can calculate the change in y/change in x. For (2,0) and (4,3), the change in y is 3-0=3 and the change in x is 4-2=2. Therefore, our slope is 3/2.
Then, in the equation y=mx+b, we can plug 3/2 in for m to get y = (3/2)x+b. To find b, we can plug one point in, such as (2.0), to get 0=(3/2)(2) + b, 0=3+b, and b=-3, making our equation
y= (3/2)x-3
