Answer:
7) BC = 10
8) BD = 20
Step-by-step explanation:
7) The segment addition theorem tells you ...
AB +BC +CD = AD
(3x+2) +(2x+4) +(3x-2) = 28
8x +4 = 28 . . . . collect terms
8x = 24 . . . . . . . subtract 4
x = 3 . . . . . . . . . divide by 8
BC = 2x+4 = 2(3) +4
BC = 10
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8) AB +BD = AC +CD
(2x -14) +(-7 +3x) = (2x -3) +(9)
5x -21 = 2x +6
3x = 27
x = 9
BD = -7 +3x = -7 +3(9)
BD = 20
Answer:
Step-by-step explanation:
Hello!
The definition of the Central Limi Theorem states that:
Be a population with probability function f(X;μ,δ²) from which a random sample of size n is selected. Then the distribution of the sample mean tends to the normal distribution with mean μ and variance δ²/n when the sample size tends to infinity.
As a rule, a sample of size greater than or equal to 30 is considered sufficient to apply the theorem and use the approximation.
X[bar]≈N(μ;σ²/n)
If the variable of interest is X: the number of accidents per week at a hazardous intersection.
There is no information about the distribution of this variable, but a sample of n= 52 weeks was taken, and since the sample is large enough you can approximate the distribution of the sample mean to normal. With population mean μ= 2.2 and standard deviation σ/√n= 1.1/√52= 0.15
I hope it helps!
That would be c
x could be any real number.
The correct answer is the last number line because with an inequality, the "equal to" sign below the "<" or ">" means the circle should be filled in. The line is traveling in a negative direction because the inequality says that n is less than -1.
The expression y = 1/2x + 6 is written in slope-intercept form (y = mx + b) where m equals the slope and b equals the y-intercept. In this equation m = 1/2 and b = 6. So, the slope is 1/2 and the y-intercept is 6. The y-intercept is going to be on y-axis, so, its going to be written as (0, 6). The only option that is correct is [ The slope is 1/2 and the y-intercept is at the point (0,6) ]
Best of Luck!
