Answer:
1/36
Step-by-step explanation:
P( red die is 6) = number of 6/ total = 1/6
P( green die is 6) = number of 6/ total = 1/6
P( red is 6 and green is 6) = P( red die is 6) *P( green die is 6)
=1/6*1/6
=1/36
Answer:
256 sq cm
Step-by-step explanation:
cube is a three-dimensional figure with six congruent square faces. Since each face is congruent, each of the edges have the same length.
The cross-section described is shown below.
The cross-section is also a square which is congruent to the other faces of the cubes. Therefore, the edges of the cross-section will each measure 16 cm. Find the area by using the formula for the area.
A=lw
=(16cm) (16cm)
=256 sq cm
So, the area of the cross-section is 256 sq cm.
No. The closest prime numbers are 23 and 29.
Answer:
a. y = -1/2x - 2
Step-by-step explanation:
The correct answer choice can be determined by finding the slope of the line. The slope is the ratio of rise to run.
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<h3>slope</h3>
The x-intercept is 4 units left of the y-axis. As the line "runs" those 4 units, it "rises" -2 units to intercept the y-axis at -2. The slope of the line is ...
m = rise/run = -2/4 = -1/2
In the slope-intercept form of the equation of a line, the slope is the coefficient of x. This information is sufficient to let us choose the first answer choice.
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<h3>equation</h3>
The slope-intercept equation is ...
y = mx +b . . . . . . . slope m, y-intercept b
We know the slope is -1/2, and the y-intercept is where x=0, at y=-2. Then the equation is ...
y = -1/2x -2 . . . . . matches choice A
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<em>Additional comment</em>
When answering multiple-choice questions, you only need to do enough work to tell which answers are <em>not</em> viable.
When we plot the points, we see that the line has negative slope. (eliminates choice C). The slope is shallow, rather than steep (the x-intercept is farther from the origin than the y-intercept), so the magnitude of the slope is less than 1 and choices B and D are eliminated.