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3 years ago

The first term of a geometric sequence is –2 and the common ratio is -1/4. What are the next three terms of the sequence?

1 answer:

3 0

I agree with the answer being B because since it's a common ratio you could just multiply -1/4 with -2 and keep doing that with each new term

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Blaine had $68 in his checking account. He tried buying a coat, but he could not make the purchase because the money in his acco

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Answer:

Step-by-step explanation:

68 plus 21 is 89.

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The histogram shows the distribution of hurricanes that have hit a country from 1851 through 2015, where 1 is the weakest level

aleksandrvk [35]

Answer:

a) mean = 0.2

variance = 0.0391

standard deviation = 0.198

b) The average hurricane is aprox. category 2.* (B)

Step-by-step explanation:

In order to find the mean, variance, and standard deviation, let us for a table for the data:

level x

1 0.411

2 0.278

3 0.221

4 0.080

5 0.010

Calculating the mean ( $\bar{x}$ )

$\bar{x} = \frac{x_1+x_2+x_3+x_4 + x_5}{n}\\\\\bar{x} = \frac{0.411 + 0.278 + 0.221 + 0.080 + 0.010}{5}\\\bar{x} = \frac{1}{5}\\ \bar{x} = 0.2$

∴Mean = 0.2

level x $x- \bar{x}$ $(x - \bar{x})^2$

1 0.411 0.211 0.0445

2 0.278 0.078 0.0608

3 0.221 0.021 0.000441

4 0.080 -0.12 0.0144

5 0.010 -0.19 0.0361

$\sum(x - \bar{x})^2 = 0.1562$

$variance = \frac{\sum(x - \bar{x})^2}{n-1} \\variance = \frac{0.1562}{4} \\variance = 0.0391$

standard deviation = √(variance)

Standard deviation = √(0.0391)

Standard deviation = 0.198

b) the average hurricane is aprox. category 2 (B)

8 0

3 years ago

Solve the quadratic equation for x in the simplest equation -6x^2+15x+9=0

Alexus [3.1K]

Answer:

x = 3, -1/2

Step-by-step explanation:

Use the quadratic formula: x = [-b ± √b² - 4ac]/2a

The square root sign should be over the entire expression b² - 4ac

In this problem, a = -6, b = 15, and c = 9

So, putting in those values, we get x = -15 ± √225+216, all divided by -12

Simplifying further, we get -15 ± 21 all divided by -12, or -36/-12 = 3 OR

6/-12 = -1/2

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2 years ago