Graph the six terms of a finite sequence where a

Which of the following represents a first step in solving the equation (x - 6)² = 9?

Alik [6]

"B." Because you must do what's in the parenthesis first. So 6² is 36 so that would be x-36=9 then to solve it $x-36=9 \\ +36=x-9 \\ 9+36=45 \\ x=45$

3 0

4 years ago

A sample of 900 college freshmen were randomly selected for a national survey. Among the survey participants, 372 students were

Rufina [12.5K]

Answer:

a) $ME=2.58 \sqrt{\frac{0.413(1-0.413)}{900}}=0.0423$

b) $0.413 - 2.58 \sqrt{\frac{0.413(1-0.413)}{900}}=0.371$

Step-by-step explanation:

1) Data given and notation

n=900 represent the random sample taken

X=372 represent the students were pursuing liberal arts degrees

$\hat p=\frac{372}{900}=0.413$ estimated proportion of students were pursuing liberal arts degrees

$\alpha=0.01$ represent the significance level

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

p= population proportion of students were pursuing liberal arts degrees

2) Solution to the problem

The confidence interval would be given by this formula

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

For the 99% confidence interval the value of $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=2.58$

The margin of error is given by:

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

If we replace we have:

$ME=2.58 \sqrt{\frac{0.413(1-0.413)}{900}}=0.0423$

And replacing into the confidence interval formula we got:

$0.413 - 2.58 \sqrt{\frac{0.413(1-0.413)}{900}}=0.371$

$0.413 + 2.58 \sqrt{\frac{0.413(1-0.413)}{900}}=0.455$

And the 99% confidence interval would be given (0.371;0.455).

We are confident (99%) that about 37.1% to 45.5% of students were pursuing liberal arts degrees.

7 0

3 years ago

PLEASE HELP I CANT FIGURE IT OUTTTT

agasfer [191]

Miss girl i lost 5 brain cells looking at that

6 0

3 years ago

Read 2 more answers

Water boils at sea level at 100°C. The boiling point of water decreases about 5°C for every mile above sea level. Santa Fe, New

KIM [24]

First lets convert feet to miles: if 1 mi = 5280 feet then 7200 feet / 5280 feet = 1.364 miles. Now we need to see how much degrees does the boiling point for water decreases: if 1 mile = 5 degrees Celsius, then 0.364 miles correspond to 0.364*5=1.82 degrees Celsius. So now we add the two values: 5+1.82 = 6.82 degrees Celsius. Now we find the decrease in the boiling point of water: 100-6.82 = 93.18 degrees Celsius. So at 7200 feet above sea level, in Santa Fe, the water boils at 93.18 degrees Celsius.

6 0

3 years ago

Find the area of a sector with a central angle of 140° and a diameter of 9.6 cm. Round to the nearest tenth.

olchik [2.2K]

Answer:

$A=28.1\ cm^2$