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3 years ago

What is the 7th term of a geometric sequence where a1=256 and a3=16?

2 answers:

6 0

I fiddled around with the problem for a while but no, just find the formula:

$a_n=256\left(\frac{1}{4}\right)^{n-1}$

The ratio is 1/4 because:
4^4 = 256 = $a_1$
4^2 = 16 = $a_3$

First element of sequence: 256
So with these two numbers you can get the formula.

Now plug in 7 for n and solve.

$a_7 = 256( \frac{1}{4})^{7-1} = 256( \frac{1}{4})^{6} = \frac{256}{4096} = \frac{1}{16}$

siniylev [52]3 years ago

6 0

The answer is 0.0625

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How to work out volume

tankabanditka [31]

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5 0

3 years ago

Park officials make predictions of times to the next eruption of a particular geyser, and collect data for the errors (minutes

nalin [4]

Answer:

a) Null hypothesis: $\mu =0$

Alternative hypothesis: $\mu \neq 0$

b) t =-7.44

c) $p_v = 2*P(t_{98}$

d) Reject Null hypothesis. The is enough evidence to conclude that the mean prediction error is not equal to 0.

We reject the null hypothesis because the $p_v$ . So we can conclude that the difference is significantly different from 0 at 5% of significance.

Step-by-step explanation:

Assuming this output:

$t_{difference}=-0.395$

t(observed value) =-7.44

t(Critical value )= 1.984

DF = 98

p value (two tailed) < 0.0001

$\alpha =0.05$

a) What are the null and alternative hypothesis

Null hypothesis: $\mu =0$

Alternative hypothesis: $\mu \neq 0$

The reason is because the output says a bilateral test so for this case w eselect this option.

b) Identify the statistic

The correct formula for the statistic is given by:

$t=\frac{\bar X_1 -\bar X_2 -0}{\sqrt{(\frac{s^2_1}{n_1}+\frac{s^2_2}{n_2})}}$

Based on the output the calculated value its t =-7.44

c) Identify the p value

We have the degrees of freedom given 98

Based on the alternative hypothesis the p value is given by:

$p_v = 2*P(t_{98}$

d) State the final conclusion that addresses the original claim

Reject Null hypothesis. The is enough evidence to conclude that the mean prediction error is not equal to 0.

We reject the null hypothesis because the $p_v$ . So we can conclude that the difference is significantly different from 0 at 5% of significance.

4 0

3 years ago

What is the difference ? X/x^2-2x-15-4/x^2+2x-35

lara31 [8.8K]

x / x² - 2x - 15 - 4 / x² + 2x - 35

FIND THE FACTOR OF EACH DENOMINATOR

= x / (x-5)(x+3)

- 4 / (x-5) (x+7)

FIND THE LCD AND MULTIPLY EACH TERM TO ARRIVE AT THE SAME DENOMINATOR.

= x / (x-5)(x+3) *

(x+7) / (x+7) - 4 / (x-5) (x+7) * (x+3)/(x+3)

PERFORM SUBTRACTION

= x2 + 7x / (x-5) (x+3) (x+7) - (4x + 12) / (x-5) (x+7) (x+3)

= x2 + 7x – 4x – 12 / (x-5) (x+3) (x+7)

this would be your answer = x² + 3x – 12 / (x-5) (x+3) (x+7)

7 0

3 years ago

Read 2 more answers

3.345 3.35 3.3which one is farthest

joja [24]

3。35 is the farthest away from zero

6 0

3 years ago

What is the equation of the following line? Be sure to scroll down first to see

Brut [27]

Answer:

Step-by-step explanation:

The equation of a line passing through the origin is

y = mx ( m is the slope )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (- 3, 1) ← 2 points on the line

m = $\frac{1-0}{-3-0}$ = - $\frac{1}{3}$

y = - $\frac{1}{3}$ x ← equation of line

4 0

3 years ago