Answer:
y = 1/2x - 3
Step-by-step explanation:
y2 - y1 / x2 - x1
0 - (-4) / 6 - (-2)
4/8
= 1/2
y = 1/2x + b
0 = 1/2(6) + b
0 = 3 + b
-3 = b
Answer:
0.0112 liters to the nearest ten thousandth.
Step-by-step explanation:
Density = mass / volume
So volume = mass / density.
Mass = 21753 mg = 21753 / 1000 = 21.753 g.
Density = 1.935 g/mL = 1.935 * 1000 = 1,935 g/L.
Volume in liters = 21.753 / 1,935
= 0.0112 liters to the nearest ten thousandth.
In problems like this the outer and inner part are in equal ratio
0.442
Step-by-step explanation:
Step 1 :
Given that 11% of the lights are defective.
So probability of a light randomly chosen is defective is .11
This implies probability of a light randomly chosen is not defective is 1 - .11 = .89
Step 2 :
In a pack of 5 light bulbs the probability that none of them are defective is (0.89)^ 5
Hence the probability that at least one of the light bulbs is defective is
1-(0.89)^ 5 = 1 - 0.558 = 0.442
Answer:
see below for a graph
Step-by-step explanation:
To draw a graph on a grid, locate the point (4, -2) and use the slope to find another point. One such point will be 1 to the left and up 3*, at (3, 1). With two points, you can draw the line through them to complete the graph.
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For a graphing tool that requires an equation, the point-slope form of the equation can be used:
y -k = m(x -h) . . . . . a line of slope m through point (h, k)
For the given slope and point, the equation of the line is ...
y +2 = -3(x -4)
y = -3x +10
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* The slope is "rise" over "run". The slope of -3 means that a <em>run</em> of +1 will result in a <em>rise</em> of -3. The given point is already below the x-axis, so we don't really want to find more points farther down. In order to go up on a line with negative slope, we must choose a point to the left of the given one.