Help i need it fast and i did not listen

Determine if the sequence below is arithmetic or geometric and determine

klio [65]

Answer:

It is arithmetic

Step-by-step explanation:

Using the rule T2-T1

We see that 16-22 is -6

We can also try T3-T2

We see that 10-16 is also -6

Their is a constant common difference and that constant common difference is -6.

Hope that helps :)

5 0

2 years ago

The surface area of a square pyramid is 125 square feet. The base length is 5 feet. What is the slant height?

Mademuasel [1]

Answer:

10.31 ft

Step-by-step explanation:

the base is 25 ft²

leaves 100 ft² for the 4 sides on top

so each triangle got 25ft²

the base length of the triangle is 5ft, bc it's the base length of the pyramid

so the height of the triangle is 10ft,

bc only then do we get a surface area of 25ft²

(b * h /2) for the triangle

now that we got base length and height,

let's look for the slant

we recall the pythagoras stuff to get the missing side of the triangle. but notice that we need to split the triangle in half to get a 90° angle.

leaving us with 10ft (height) and 2.5ft

slant² = 10² + 2.5²

slant² = 106.25

slant = sqrt(106.25)

slant = 10.31

3 0

2 years ago

Read 2 more answers

Consider two x distributions corresponding to the same x distribution. The first x distribution is based on samples of size n =

Tanya [424]

Answer:

The distribution with n = 225 will give a smaller standard error.

Since sigma x = sigma/√n, dividing by the square root of 225 will result in a small standard error regardless of the value of sigma.

Step-by-step explanation:

Standard error is given by standard deviation (sigma) divided by square root of sample size (√n).

The distribution with n = 225 would give a smaller standard error because the square root of 225 is 15. The inverse of 15 multiplied by sigma is approximately 0.07sigma which is smaller compared to the distribution n = 100. Square of 100 is 10, inverse of 10 multiplied by sigma is 0.1sigma.

0.07sigma is smaller than 0.1sigma

8 0

3 years ago

The U.S. Department of Housing and Urban Development publishes data on the fair market monthly rent for existing one-bedroom hou

Aleksandr [31]

Answer:

$n=(\frac{1.960(80)}{25})^2 =246.73 \approx 247$

So the answer for this case would be n=247 rounded up to the nearest integer

Step-by-step explanation:

We know that the standard deviation is :

$\sigma = 80$ represent the deviation

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =25 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

The critical value for 95% of confidence interval now can be founded using the normal distribution and the critical value would be $z_{\alpha/2}=1.960$ , replacing into formula (b) we got:

$n=(\frac{1.960(80)}{25})^2 =246.73 \approx 247$

So the answer for this case would be n=247 rounded up to the nearest integer

8 0

3 years ago

olice response time to an emergency call is the difference between the time the call is first received by the dispatcher and the

yan [13]

Answer:

0.7823 = 78.23% probability that the response time is between 3 and 9 minutes.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 7.2 minutes and a standard deviation of 2.1 minutes.

This means that $\mu = 7.2, \sigma = 2.1$