Answer:
The third graph.
Step-by-step explanation:
The equations for the lines will be
P(x) = 2x-4
l(x) = -2x-4
When x = 0 both of these functions equal -4. The only graph where this happens is the third one.
You can check this by looking at the slopes and plugging in points.
Well, we can input both variables to check and see if the numbers hold.
-691 = -51(-15) - 74
-691 = 765-64
-691 = 701
(-15, -691) does not make the equation true.
The equation is y=16(1.35)ˣ.
This equation is of the form y=a(1+r)ˣ, where a is the initial amount, r is the rate of growth expressed as a decimal number, y is the total, and x is the amount of time. For our problem, a is 16; b is 0.35 (35%=35/100=0.35). This gives us the equation above.
Answer:
The histogram is right-skewed.
Step-by-step explanation:
The income of all households in the United States can be categorized as low, medium and high.
Not many people earn a high income. So the proportions of people decreases as the income increases.
Most of the people earn a medium income. So the mode of the data would be somewhere in the start of the the distribution.
There are many households that earn a low income. But this proportion is not more than the proportion of people earning low income.
So the histogram for income distribution will have a long right tail with maximum data at the starting point.
This implies that the histogram is right-skewed.
Answer:
4989600
Step-by-step explanation:
The given word is MATHEMATICS
Number of letters in the given word is 11
there are 2 M's, 2 A's and 2 T's
the given word is arranged in 11! ways
three letters are repeating, so we divide by repeating occurrences
number of different arrangements =
= 4989600
