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4 years ago

One-Half the difference of a number and 15

Mathematics

2 answers:

vitfil [10]4 years ago

6 0

Answer:

(n-15) / 2

Step-by-step explanation

Don't forget the parentheses

slega [8]4 years ago

5 0

Answer:

x - 15 ÷ 2

Step-by-step explanation:

Since it wants you to find the half of your answer after you find the difference, be sure to leave the two at the end of your equation. With that said, let's move into finding out what "the difference of a number and fifteen is". Whenever they tell you 'a number', it means they want you to put a variable, such as x, since you do not know the number and it could be any number. Now, the "difference" of something usually means...you guessed it, subtraction! Now that you've decoded your equation, you now know it means that x - 15 is the first part, and you can now put the one half right after it.

If this is confusing, I can explain further. :D

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Determine the margin of error, m m , of a 90% confidence interval for the mean IQ score of all students with the disorder. Assum

Vsevolod [243]

Answer:

The margin of error is 6.45.

Step-by-step explanation:

The complete question is:

As an early intervention effort, a school psychologist wants to estimate the average score on the Stanford-Binet Intelligence Scale for all students with a specific type of learning disorder using a simple random sample of 36 students with the disorder.

Determine the margin of error, of a 99% confidence interval for the mean IQ score of all students with the disorder. Assume that the standard deviation IQ score among the population of all students with the disorder is the same as the standard deviation of IQ score for the general population, σ = 15 points.

The (1 - α)% confidence interval for population mean μ is:

$CI=\bar x\pm z_{\alpha/2}\times\frac{\sigma}{\sqrt{n}}$

The margin of error for this interval is:

$MOE= z_{\alpha/2}\times\frac{\sigma}{\sqrt{n}}$

Given:

n = 36

σ = 15

(1 - α)% = 99%

Compute the critical value of z for 99% confidence level as follows:

$z_{\alpha/2}=z_{0.01/2}=z_{0.005}=2.58$

*Use a z-table.

Compute the value of MOE as follows:

$MOE= z_{\alpha/2}\times\frac{\sigma}{\sqrt{n}}$

$=2.58\times\frac{15}{\sqrt{36}}$

$=2.58\times 2.5\\=6.45$

Thus, the margin of error is 6.45.

5 0

3 years ago

Alison, the owner of a regional chain of pizza stores, is trying to decide whether to add calzones to the menu. She conducts a s

Mekhanik [1.2K]

Answer:

Step-by-step explanation:

Confidence interval is written as

Sample proportion ± margin of error

Margin of error = z × √pq/n

Where

z represents the z score corresponding to the confidence level

p = sample proportion. It also means probability of success

q = probability of failure

q = 1 - p

p = x/n

Where

n represents the number of samples

x represents the number of success

From the information given,

n = 700

x = 46

p = 46/700 = 0.066

q = 1 - 0.066 = 0.934

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.9 = 0.1

α/2 = 0.1/2 = 0.05

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.05 = 0.95

The z score corresponding to the area on the z table is 1.645. Thus, the z score for a confidence level of 90% is 1.645

Therefore, the 90% confidence interval is

0.066 ± 1.645√(0.066)(0.934)/700

= 0.066 ± 0.0094

The lower limit of the confidence interval is

0.066 - 0.0094 = 0.0566

The upper limit of the confidence interval is

0.066 + 0.0094 = 0.0754

5 0

3 years ago

The graph shows how many sandwhiches can be made from diffrent numbers of loaves of bread. what is the slope of the graph?

ki77a [65]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Help me please oh and show your work (step by step) please!!

Pachacha [2.7K]

You would divided both sides by 3 and 1x would equal 6

6 0

3 years ago

Read 2 more answers

A photo is 15 cm high and 9 cm wide Michael wants to but porcelain shrink it so it's height is 6 cm High how wide will it then b

weqwewe [10]

Answer:

3.6cm

Step-by-step explanation:

Given data

We are given that the dimension of the photo is

Height= 15cm

Width= 9cm

That is

15cm height will make 9cm width

hence 6cm height will make x widht

cross multiply

9*6= 15*x

54= 15x

x= 54/15

x= 3.6cm

Hence the width will be 3.6cm

3 0

3 years ago