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3 years ago

The first term is 1 in the geometric sequence 1,-3,9,-27,...what is the seventh term of the geometric sequence?

Mathematics

1 answer:

dezoksy [38]3 years ago

7 0

729 because all you do is multiply the previous number by -3

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Describe the sampling distribution of p(hat). Assume the size of the population is 30,000.

Naya [18.7K]

Answer:

a) $\mathbf{\mu_ \hat p = 0.6}$

b) $\mathbf{\sigma_p =0.01732}$

Step-by-step explanation:

Given that:

population mean $\mu$ = 30,000

sample size n = 800

population proportion p = 0.6

The mean of the the sampling distribution is equal to the population proportion.

$\mu_ \hat p = p$

$\mathbf{\mu_ \hat p = 0.6}$

The standard deviation of the sampling distribution can be estimated by using the formula:

$\sigma_p = \sqrt{\dfrac{p(1-p)}{n}}$

$\sigma_p = \sqrt{\dfrac{0.6(1-0.6)}{800}}$

$\sigma_p = \sqrt{\dfrac{0.6(0.4)}{800}}$

$\sigma_p = \sqrt{\dfrac{0.24}{800}}$

$\sigma_p = \sqrt{3 \times 10^{-4}}$

$\mathbf{\sigma_p =0.01732}$

7 0

3 years ago

What is the value of x? <br>enter your answer in the box.<br>x = _

UNO [17]

Answer: x = 7

Step-by-step explanation:

24 = 2x + 10

24 - 10 = 2x + 10 - 10 (Subtract 10 from both sides)

14 = 2x

14/2 = 2x/2 (Divide both sides by 2)

7 = x

x = 7

8 0

3 years ago

Use limits to find the area of the region bounded by the graph f(x)=4-2x^3 , the x-axis , and the vertical lines x=0 and x=1

gtnhenbr [62]

Answer:

$\frac{7}{2}$ square units.

Step-by-step explanation:

We have to use limits to find the area of the region bounded by the graph $f(x) = 4 - 2x^{3}$ , the x-axis, and the vertical lines x=0 and x=1.

So, the area will be

A = $\int\limits^1_0 {(4 - 2x^{3})} \, dx$

= $[4x - \frac{x^{4}}{2} ]^{1} _{0}$

= $4 - \frac{1}{2}$

= $\frac{7}{2}$ square units. (Answer)

3 0

3 years ago

Write the first 5 terms of the sequence 90 - 8n

Blababa [14]

I hope this helps you

90-8.5

90-40

50

4 0

3 years ago

PLSS HELPP 25 POINTS AND BRAINLIEST

Dennis_Churaev [7]

Answer:

$\Large \boxed{\sf 322.5 \ in^2}$

Step-by-step explanation:

Find the area of the 4 triangles and add them.

Area of triangle = base × height × 0.5

$(10 \times 15 \times 0.5 \times 3)+(15 \times 13 \times 0.5)= 322.5$

8 0

3 years ago