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Bad White [126]

3 years ago

15

John spent $75 on a shopping trip for new clothes last week. He had expected to spend $100 on clothes.How much was the absolute

error in his estimate?

2 answers:

ozzi3 years ago

6 0

$25! :)

Good luck! I’d appreciate if you made this the brainliest answer! :)

ollegr [7]3 years ago

3 0

Answer:

25

Step-by-step explanation:

jw.org

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Unoccupied seats on flights cause airlines to lose revenue. Suppose a large airline wants to estimate its mean number of unoccup

Mkey [24]

The given sample's 95% confidence interval is 11.6 ± 0.5357. I.e., from the lower bound 11.06 to the upper bound 12.14. Its margin error is 0.5357.

<h3>How to find the confidence interval?</h3>

To find the confidence interval C.I,

Determine the mean(μ) of the sample
Determine the standard deviation(σ)
Determine the z-score for the given confidence level using the z-score table
Using all these, the confidence interval is calculated by the formula, C. I = μ ± z(σ/√n) where n is the sample size and z(σ/√n) gives the margin error. So, we can also write C. I = mean ± margin error.

<h3>Calculation:</h3>

It is given that,

Sample size n = 225

Sample mean μ = 11.6

Standard deviation σ = 4.1

Since 95% confidence interval, z-score is 1.96

So, the required confidence interval is calculated by,

C. I = μ ± z(σ/√n) or mean ± margin error

On substituting,

C. I = 11.6 ± 1.96(4.1/√225)

= 11.6 ± 1.96 × 0.2733

= 11.6 ± 0.5357

So, the lower bound = 11.6 - 0.5357 = 11.065 and

the upper bound = 11.6 + 0.5357 = 12.135.

Thus, the confidence interval is from 11.06 to 12.14, and its margin error is 0.0537 for the population mean number of unoccupied seats per flight.

Learn more about confidence intervals here:

brainly.com/question/16236451

#SPJ4

3 0

2 years ago

Verify the identity (tan x + 1)^2 + (tan x-1)^2= 2 sec^2 x

Elina [12.6K]

$(\tan x+1)^2+(\tan x-1)^2=2\sec^2x\\\\\text{use}\ \tan x=\dfrac{\sin x}{\cos x}\\\\L_s=\left(\dfrac{\sin x}{\cos x}+\dfrac{\cos x}{\cos x}\right)^2+\left(\dfrac{\sin x}{\cos x}-\dfrac{\cos x}{\cos x}\right)^2\\\\=\left(\dfrac{\sin x+\cos x}{\cos x}\right)^2+\left(\dfrac{\sin x-\cos x}{\cos x}\right)^2\\\\=\dfrac{(\sin x+\cos x)^2}{\cos^2x}+\dfrac{(\sin x-\cos x)^2}{\cos^2x}\\\\\text{use}\ (a\pm b)^2=a^2\pm2ab+b^2$

$=\dfrac{\sin^2x+2\sin x\cos x+\cos^2}{\cos^2x}+\dfrac{\sin^2x-2\sin x\cos x+\cos^2}{\cos^2x}\\\\=\dfrac{\sin^2x+2\sin x\cos x+\cos^2+\sin^2x-2\sin x\cos x+\cos^2}{\cos^2x}\\\\=\dfrac{2\sin^2x+2\cos^2x}{\cos^2x}=\dfrac{2(\sin^2x+\cos^2x)}{\cos^2x}\\\\\text{use}\ \sin^2x+\cos^2x=1\\\\=\dfrac{2(1)}{\cos^2x}=2\cdot\dfrac{1}{\cos^2x}=2\left(\dfrac{1}{\cos x}\right)^2\\\\\text{use}\ \sec x=\dfrac{1}{\cos x}\\\\=2(\sec^2x)=2\sec^2x=R_s\\\\L_s=R_s\Rightarrow The\ identity$

4 0

3 years ago

In your own words, explain to me what is absolute value? Make sure to talk about the definition of it, how you find it, and how

Tom [10]

Answer:

It's a function that associates a real number x with a positive real number using the flowing definition: If the number is not negative (so either positive or 0) the absolute value is x. If x is negative, the absolute value is -x.

This means that to find the absolute value of x you must first determine if x is negative or not, and if it is, multiply it by -1. If it isn't, leave it as it is.

Since the absolute value is a function (of a given number), you can't just plot that number in the number line but the function (so in this case absolute value must be taken first.

The absolute value of x is never negative, so given the absolute value of x we can't determinate if x was positive or negative (if x =/ 0) before the absolute value was taken.

4 0

2 years ago

How many gallons of water is being filled each minute? (8th Math)

Nadya [2.5K]

Answer:

3 gallons

Step-by-step explanation:

its in between 2 and 4 on minute 1 and its on 6 at minute 2

4 0

1 year ago

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Express 3m24cm in kilometers,leaving your answer in standard form

erastova [34]

Answer:

0.00324 kilometres

Step-by-step explanation:

Remember:

100 centimeters = 1 meter

1000 meters = 1 kilometer

So first, let's add together the meters and centimeters. To do that, we have to convert the meters to centimeters. That would become 300 centimeters, then you add the 24 centimeters to get 324 centimeters. Then, you convert that to kilometers. You can use a calculator for this, but I'll show you how to do this without a calculator. Since 100 centimeters is one meter, and 1000 meters equals to one kilometer, there would be 5 spaces from 324 to our answer, so you move the invisible decimal point 5 spaces to the left, and you get your answer, which is 0.00324 kilometres!

7 0

3 years ago

Read 2 more answers