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3 years ago

Explicit equation for the sequence

Mathematics

1 answer:

Jlenok [28]3 years ago

3 0

Step-by-step explanation:

when we get the common ratio that must be equal

r=6/2=18/6=54/18=3 equal

So it is geometric

By using this equation:

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

and we have a(1)=2 , r=3

Explicit rule: a(n)=2*(3)^(n-1)

hope this helps

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X - 7 = 13 - x help asap plz

bekas [8.4K]

Answer:

x = 10

Step-by-step explanation:

$x - 7 = 13 - x$

Step 1 : Collect like terms and simplify

$x + x = 13 + 7 \\ 2x = 20$

Step 2 : Divide both sides of the equation by 2

$\frac{2x}{2} = \frac{20}{2}$

Step 3 : Simplify by cross cancellation of common term : 2

$x = 10$

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3 years ago

3. From the table below, find Prof. Xin expected value of lateness. (5 points) Lateness P(Lateness) On Time 4/5 1 Hour Late 1/10

wariber [46]

Answer:

The expected value of lateness $\frac{7}{20}$ hours.

Step-by-step explanation:

The probability distribution of lateness is as follows:

Lateness P (Lateness)

On Time 4/5

1 Hour Late 1/10

2 Hours Late 1/20

3 Hours Late 1/20

The formula of expected value of a random variable is:

$E(X)=\sum x\cdot P(X=x)$

Compute the expected value of lateness as follows:

$E(X)=\sum x\cdot P(X=x)$

$=(0\times \frac{4}{5})+(1\times \frac{1}{10})+(2\times \frac{1}{20})+(3\times \frac{1}{20})\\\\=0+\frac{1}{10}+\frac{1}{10}+\frac{3}{20}\\\\=\frac{2+2+3}{20}\\\\=\frac{7}{20}$

Thus, the expected value of lateness $\frac{7}{20}$ hours.

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3 years ago

Which of the following transformations are used when transforming the graph of the parent function...

hram777 [196]

1. 1st transformation is translation the parent function $y=\log_5x$ 6 units to the right to get the function $y=\log_5(x-6).$

2. 2nd transformation is reflection the function $y=\log_5(x-6)$ over the x-axis. This transformation gives you the function $y=-\log_5(x-6).$

3. 3rd transformation is vertical stretch of the function $y=-\log_5(x-6)$ by a factor of 2 to get the function $y=-2\log_5(x-6).$

Only last two are present in options, then

answer: C and D.

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Marina86 [1]

The answer is fir this question 20 ml

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4 years ago

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