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posledela
3 years ago
5

N to the first power divided by (n - r) to the first power

Mathematics
1 answer:
Andreyy893 years ago
4 0
\dfrac{n^1}{(n-r)^1}=\dfrac{n}{n-r}
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Assume that the random variable X is normally distributed, with mean ? = 50 and standard deviation ? = 7. Compute the following
sineoko [7]

Answer:

Step-by-step explanation:

Given that  the random variable X is normally distributed, with

mean  = 50 and standard deviation  = 7.

Then we have z= \frac{x-50}{7} is N(0,1)

Using this and normal table we find that

a) P(56

b) When z=0.02

we get

x=50+0.02(7)=50.14

c) 90th percentile z value =1.645

90th percentile of X =50+7(1.645)\\= 50+11.515\\=61.515

4 0
2 years ago
In the diagram, point D divides line segment AB in the ratio of 5:3. If line segment AC is vertical and line segment CD is horiz
BabaBlast [244]

Answer:

C (2, -1)

Step-by-step explanation:

C has the same x coordinate as A = 2

that eliminates A and B.

and the y value of C has to be closer to the y value of B than to the y value of A (due to the 5:3 ratio).

so, without spending unnecessary effort on actual calculation, we can directly derive the correct answer to be C.

but to show in numbers, the "coordinate triangle" of the difference between D and B is a similar triangle to ACD. and so, the ratio of one side pair applies then to all other sides too. including the individual coordinate differences.

so, also the y difference of A to D relates to the y difference between D and B in the same ratio of 5:3 of the overall y difference of A to B.

the y difference A to B is 2 - -6 = 8

the 5/3 split of 8 units is actually 5 and 3.

so, the y coordinate of D is -6 + 5 = -1

and C must have the same y coordinate.

therefore, it is proven that answer C (2, -1) is the right answer.

4 0
3 years ago
The difference of 9 and the quotient of the number t and 6 is 5
zimovet [89]

The answer should be t=-24

8 0
2 years ago
1. Simplity the following into lowest term <br>3x - 2 - 2x​
Yakvenalex [24]
The answer is X-2 ........
3 0
3 years ago
Read 2 more answers
Can someone solve the system of equations?
kogti [31]
Y=x^2-5

y=2x-5
y+5=2x
x=(y+5)/2

y=((y+5)/2)^2-5
y=(y^2+10y+25)/4-5
4y=y^2+10y+25-20
0=y^2+6y+5
0=(y+5)(y+1)
y= -5 or -1

y=2x-5   (y= -5 doesn't work for this one so use -1)
-1=2x-5
2x=4
x=2

Using these answers, you can choose answer D with reasonable certainty.
5 0
3 years ago
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