Answer:
D. 8
Step-by-step explanation:
We have been given that the number of days that homes stay on the market before they sell in Houston is bell-shaped with a mean equal to 56 days. Further, 95 percent of all homes are on the market between 40 and 72 days.
As per empirical rule 95% of the data on bell curve lies between 2 standard deviations of mean.
So we can set an equation as:
or





Therefore, the standard deviation for our given data is 8 and option D is the correct choice.
Answer:
Step-by-step explanation:
According to the diagram MK is the angle bisector of ∠LMJ in the triangle LMJ.
Use angle bisector theorem, which states:
- <em>an angle bisector of an angle of a triangle divides the opposite side into two parts that are proportional to the other two sides of the triangle.</em>
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Applied to the given triangle, the ratios are:
Use segment addition postulate and substitute known values to get:
- (LJ - JK)/JK = LM/JM
- (14 - JK)/JK = 50/48
- 50JK = 48(14 - JK)
- 50JK = 672 - 48JK
- 50JK + 48JK = 672
- 98JK = 672
- JK = 672/98
- JK = 6.86 (rounded)
Answer:
Step-by-step explanation:
(-4,-8)...x = -4 and y = -8
slope = 3/2
in y = mx + b form, the m is ur slope
now sub ur info into y = mx + b......we need to find b, the y intercept
y = mx + b
-8 = 3/2(-4) + b
-8 = -6 + b
-8 + 6 = b
-2 = b
so ur equation is : y = 3/2x - 2.....but u need it in another form
y = 3/2x - 2.....subtract 3/2x from both sides
-3/2x + y = -2 ....then u can multiply by -2 and get 3x - 2y = 4....just in case u dont want fractions
Answer: x=3 y=1
Step-by-step explanation: