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3 years ago

What's the 6th term in a sequence that starts with -7.5 and has a common ratio of 9?

1 answer:

6 0

$\bf n^{th}\textit{ term of a geometric sequence}\\\\
a_n=a_1\cdot r^{n-1}\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=-7.5\\
r=9\\
n=6
\end{cases}\implies a_6=-7.5\cdot 9^{6-1}$

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x^2=6x+1 rewrite the equation by completing the square your equation should look like (x+a)^2=b or (x-c)^2=d

ryzh [129]

Answer:

(x - 3)² = 10

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Algebra I

Completing the Square

Step-by-step explanation:

Step 1: Define

x² = 6x + 1

Step 2: Rewrite

Subtract 6x on both sides: x² - 6x = 1
Complete the Square: x² - 6x + 9 = 1 + 9
Factor: (x - 3)² = 10

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3 years ago

Calculate the mean and variance of the sample data set provided below. show and explain your steps. round to the nearest tenth.

eimsori [14]

Mean = (14 + 16 + 7 + 9 + 11 + 13 + 8 + 10) ÷ 8 = 11

Variance =
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Answer: 9.71

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3 years ago

Suppose that you are interested in determining the average height of a person in a large city. You begin by collecting the heigh

monitta

The standard error of the estimate of average height in the city is 0.25.

Given average height 64 inches, sample mean and sample standard deviation of 4 inches.

We have to determine the standard error of the estimate of the average height in the city.

Standard error is the error which is predicted before research to happen in research. It is calculated by dividing the standard deviation of the sample by the square root of the sample size.

n=256

μ=mean

s = sample standard deviation

Standard error=s/ $\sqrt{n}$

=4/ $\sqrt{256}$

=4/16

=0.25

Hence the standard error of the estimate of the average height is 0.25.

Learn more about standard error at brainly.com/question/1191244

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2 years ago

9.6 x 10^9 as a normal number

Alex17521 [72]

Answer:

9,600,000,000

Step-by-step explanation:

I am not sure it right but I hope it's helpful.

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3 years ago

Two balls are drawn in succession out of a box containing

victus00 [196]

There are a total of 8 balls

The probability of drawing a white ball is 4/8 on the first draw.
If you replace the ball then the probability will still be 4/8 for a white ball, since these events are independent of each other you multiply 4/8 x 4/8 = 16/64 or 1/4 then the probability of drawing at least 1 red ball with replacement is 1 - 1/4 = 3/4

Now without replacement:
the probability of drawing a white ball is 4/8 since you don't replace the ball then the probability of drawing a white ball the second time is 3/7 again multiply these two probabilities: 4/8 x 3/7 = 12/56 the the probability of drawing at least 1 red ball is 1- 12/56 = 44/56 or 11/14

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3 years ago