Find the next four terms in the sequence. 1,-4, 16, -64, ...

Mathematics

1 answer:

labwork [276]2 years ago

5 0

Answer:

256, -1024, 4096, -16384

i think that's it

it's being multiplied by -4 (geometric)

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2x+3y=41 and 5x+4y=85

Sever21 [200]

Answer:

5x+4y=85-

Slope = -2.500/2.000 = -1.250

x-intercept = 85/5 = 17

y-intercept = 85/4 = 21.25000

2x+3y=41-

Slope = -1.333/2.000 = -0.667

x-intercept = 41/2 = 20.50000

y-intercept = 41/3 = 13.66667

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4 years ago

Find the product. -2x(x^2 - 3)

gayaneshka [121]

(-2x)(x^2)+(-2x)(-3) = -2x^3 + 6x

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4 years ago

Find the critical value needed to construct a 95% CI of a population mean with an unknown standard deviation and a sample size o

kaheart [24]

Answer:

$t_{\alpha/2}=-2.02, t_{1-\alpha/2}=2.02$

Step-by-step explanation:

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

In order to find the critical value we need to take in count that we are finding the critical value for the population mean and without the standard deviation, so on this case we need to use the t distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . We need to calculate the degrees of freedom are given by: