Tree A has a bright 8h-1 feet. Tree B has a height of 6h-11 feet. How much taller in feet is Tree A than Tree B?

How can i use decimal models to add decimals?

Vinil7 [7]

<span>Understand that a decimal is any number written in the base-10 system....

Represent decimals using area models.

State the fraction (tenths or hundredths) that is equivalent to a given decimal.
<span>
Compare the values of decimals (tenths or hundredths) using area models and/or a number line.</span></span>

3 0

3 years ago

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Suppose that the sample standard deviation was s = 5.1. Compute a 98% confidence interval for μ, the mean time spent volunteerin

NISA [10]

Answer:

The 95% confidence interval would be given by (5.139;5.861)

Step-by-step explanation:

1) Previous concepts

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".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

2) Confidence interval

Assuming that $\bar X =5.5$ and the ranfom sample n=1086.

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=1086-1=1085$

Since the Confidence is 0.98 or 98%, the value of $\alpha=0.02$ and $\alpha/2 =0.01$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.01,1085)".And we see that $t_{\alpha/2}=2.33$

Now we have everything in order to replace into formula (1):

$5.5-2.33\frac{5.1}{\sqrt{1086}}=5.139$

$5.5+2.333\frac{5.1}{\sqrt{1086}}=5.861$

So on this case the 95% confidence interval would be given by (5.139;5.861) We are 98% confident that the mean time spent volunteering for the population of parents of school-aged children is between these two values.

5 0

3 years ago

<img src="https://tex.z-dn.net/?f=x%20%7B%7D%5E%7B2%7D%20%20-%202ax%20%2B%202%28a%20%7B%7D%5E%7B2%7D%20%20-%206%29%20%3D%200" id

pentagon [3]

answer

$- {4a}^{2} + 48$

5 0

3 years ago

Determine+the+percentile+indicating+the+bottom+ranking+20%.+in+other+words,+what+is+the+dollar+number+that+defines+where+the+low

Aloiza [94]

The dollar number that defines where the lowest values falls is

20% percentile value =$20

This is further explained below.

<h3 /><h3>What is the dollar number that defines where the lowest value falls?</h3>

Generally, Now we need to determine the 20th percentile ($20). It indicates that we need to locate a dollar amount that marks the point at which the 20 % data has a value lower than that number.

i=(p/100)*n

Where i is the position of p^th

percentile when the data is presented in ascending order.

i=20/100*50

i=1000/100

i=10

Therefore

n=50

p=20

In conclusion, the 10th position for given data is 20,

Therefore, 20% percentile value =$20