Excel evaluates the formula =4-2*6/2+7 and performs _______

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

What is the value of K

Elan Coil [88]

Answer:

k = 10

Step-by-step explanation:

We first have to get the 3rd angle: 180 - 115 = 65

Sum of angles in a triangle = 180

65 + (4k + 5) + (6k + 10) = 180

Collect like terms

65 + 10k + 15 = 180

80 + 10k = 180

Subtract 80 from both sides

10k = 100

Divide both sides by 10

k = 10

8 0

3 years ago

I need help with this one could anyone help

Makovka662 [10]

Answer:

the formula to use is A

hope it helps

6 0

3 years ago

Someone answer number 10.(Both parts please.)

Ede4ka [16]

X= 43

Angles Measures:

Top right: 86

Bottom right: 51

Bottom left: 43

3 0

4 years ago

It takes Hoai 20 minutes to walk to his friend's house 7/8 mile away.<br> What is his walking pace?

algol [13]

Step-by-step explanation:

To find her walking pace in 'miles per hour', we need to divide the distance (in miles) by the time (in hours)

speed

=

distance

time

The time is given in minutes, but

50

minutes =

50

60

hours

=

5

6

hours

1

2

3

÷

5

6

=

5

3

×

6

5

miles per hour

=

5

3

×

6

2

5

=

2

miles per hour

6 0

3 years ago

Read 2 more answers

Excel evaluates the formula =4-2*6/2+7 and performs ________ first.