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stellarik [79]
3 years ago
15

Find the 8th Term for the Geometric Sequence for which a1 - 3 and r = -2

Mathematics
1 answer:
Firdavs [7]3 years ago
4 0

Answer:

-384

Step-by-step explanation:

geometric sequence : every new element is generated by multiplying the previous element always with the same number r.

a(n) = a(n-1) * r

a(n) = a(1) * r^(n-1)

so, a(1) = 3, r = -2

a(8) = ?

a(8) = a(1) * r^7 = 3 * (-2)^7

a negative number to an uneven power is again a negative number.

so, (-2)^7 = -128

3 * -128 = -384 = a(8)

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X is normally distributed with a mean of 100 and a standard deviation of 15. What is the probability of randomly sampling a scor
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Answer:

Using calculator: 0.0415

Using Z-score Table: 0.0418

Step-by-step explanation:

There are two ways you can solve this problem.

1. Use the normal distribution function on a calculator.

Entered values:

Lower Limit: 126

Upper Limit: 999999999999999... (To encompass all the data)

Standard Deviation: 15

Mean: 100

2. Find the Z score and look up probabilities on table.

Formula for Z score:

Z=\frac{x-mean}{standard deviation} \\\\Z= \frac{126-100}{15}=1.7333...

Z = 1.7333

This means that the value 126 is 1.733 standard deviations away from the mean. We can look this value up on the Z table to find its corresponding probability.

This will show us the probability of the random sampling being equal to or lower than 126.

P = 0.9582

So to find the probability of it being above, we simply just calculate the inverse as all probabilities on the curve = 1.

1-0.9582 = 0.0418

NOTE: Values found from the table will usually be a bit different from if you find it from a calculator, the one you need will depend on the method you use in class.

Hope this helped!

6 0
3 years ago
How does the volume of a cylinder change if the radius is quadrupled and the height is reduced to a third of its original size?
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Oh yay, proportional thinking! (Vicious sarcasm). Alright, let's do this:

Volume of the cylinder = <span>π(h)r^2
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Therefore, it's D. Though it's spelled pi, and you should really use the ^ symbol. </span>
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vovikov84 [41]

Answer:

46

Step-by-step explanation:

=8-4x+5y

=8+8+30

=46

6 0
3 years ago
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