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kirza4 [7]
3 years ago
15

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?

Mathematics
1 answer:
Gelneren [198K]3 years ago
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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89

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

6 0
2 years ago
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