A to the middle one
B to the top one
C to the bottom one
The top one is all real numbers because any number in the "l l" absolute brackets will come out to be positive, example: l-3l=3 and l3l=3. Thats going to be equal to and since the sign says "less than or equal to" that will work.
The middle one is only positive solutions because for 7x to be more than lxl it would need to be positive since the sign is "greater than"
The bottom one is none because the absolute of anything will always be more than a negative since the absolute is always positive. Never less or equal to a negative, always more.
Y = 3x + 13
You can get this by using the same slope and then plugging into the equation to find the intercept. <span />
Answer:
1944x^2.
Step-by-step explanation:
sqrt 2x^2 * sqrt18^5
= sqrt2x^2 * (sqrt(9^5*2^5))
= sqrt 2 x^2 * (sqrt9^5 * sqrt 2^5)
= sqrt2 x^2 * (243* sqrt2^5)
= 2^0.5 (243 * 2^2.5) x^2
= 2^3 * 243 x^2
= 1944x^2.
You're going to have to work out the z-scores of both values in each option and see if it makes sense.
n = m + sz
The mean is 20 and the standard deviation is 3.
So let's find try the z-scores of the outer range values and determine their probabilities:
from 14-20:
n = m + sz
20 = 20 + 3z and 14 = 20 + 3z
0 = 3z and -6 = 3z
z = 0 and z = -2
So now using a z-score table, such as the one below, find the probabilities.
z = 0 is easy, it's 0.5
z = -2 is 0.02275
Subtract the smaller from the larger to get the probability of getting in the range:
0.5 - 0.02275 = 0.47725 (so times 1000, you get 477.25, which is not about 340, so this option is wrong)
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Now trying option 2, from 17-29:
n = m + sz
29 = 20 + 3z and 17 = 20 + 3z
9 = 3z and -3 = 3z
z = 3 and z = -1
0.99865 - 0.158655 = 0.839995 (not 680, so not the answer)
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Now trying option 3, from 20-23:
n = m + sz
23 = 20 + 3z and 20 = 20 + 3z
3 = 3z and 0 = 3z
z = 1 and z = 0
0.841345 - 0.5 = 0.341345 (close to 340, so is your answer)
