Simplify t^12/t^6 help!

The first three terms of a geometric sequence are as follows. −4 , 20 , −100 find the next two terms of this sequence. give exac

lbvjy [14]

You multiply by -5 to find any next term. so next two are 500 then -2500

7 0

3 years ago

In a survey, the planning value for the population proportion is . How large a sample should be taken to provide a confidence in

tatuchka [14]

Answer:

n=350

Step-by-step explanation:

Notation and definitions

$n$ random sample taken (variable of interest)

$\hat p=0.35$ estimated proportion (value assumed)

$p$ true population proportion

Confidence =0.95 or 95% (value assumed)

Me=0.05 (value assumed)

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".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})$

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.05$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

And replacing into equation (b) the values from part a we got:

$n=\frac{0.35(1-0.35)}{(\frac{0.05}{1.96})^2}=349.586$

And rounded up we have that n=350

4 0

3 years ago

Name the shapes that are being described.

4vir4ik [10]

A.) An equilateral triangle has three lines of symmetry. It has rotational symmetry of order 3. It has three equal sides.

b.) A Square (4 sides) has 4 Lines of Symmetry.

c.) A Regular Hexagon (6 sides) has 6 Lines of Symmetry

6 0

3 years ago

The three trigonometric functions can be used to calculate unknown side lengths and angles in which type of triangle(s)?

Mama L [17]

Triangles with a 90 degree angle. We use the sine, cosine and tangent functions to determine the missing angles and sides.

5 0

3 years ago

Read 2 more answers

PLEASE HELP ME PLSSSS I WILL MARK YOUR BRAINLIEST Kalie puts 6 stickers on her desk. Each sticker is 1/2 centimeters wide by 3/5

Damm [24]

Answer:

Total area: 9/5 square cm, or in decimal form 1.8 square cm

Step-by-step explanation:

Notice that each sticker is 1/2 cm by 3/5 cm, therefore they area is 1/2 times 3/5 = 3/10 square cm.

since she uses 6 of them, we need to multiply the area of each by 6 in order to get the total area:

6 times 3/10 = 18/10 square cm = 9/5 square cm or in decimal form 1.8 square cm

8 0

4 years ago