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2 years ago

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4(x−2+y) It's for khan academy

1 answer:

inessss [21]2 years ago

4 0

The answer is 4x-8+4y i think?

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The sugar content of the syrup in canned peaches is normally distributed. A random sample of n = 10 cans yields a sample standar

Serggg [28]

Answer:

The 95% confidence interval is given by:

3.30<σ<8.76

Step-by-step explanation:

1) Data given and notation

s=4.798 represent the sample standard deviation

$\bar x$ represent the sample mean

n=10 the sample size

Confidence=95% or 0.95

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 mean or variance 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.

The Chi Square distribution is the distribution of the sum of squared standard normal deviates .

2) Calculating the confidence interval

The confidence interval for the population variance is given by the following formula:

$\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}$

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:

$df=n-1=10-1=9$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a tabel to find the critical values.

The excel commands would be: "=CHISQ.INV(0.025,9)" "=CHISQ.INV(0.975,9)". so for this case the critical values are:

$\chi^2_{\alpha/2}=19.022$

$\chi^2_{1- \alpha/2}=2.700$

And replacing into the formula for the interval we got:

$\frac{(9)(4.798)^2}{19.022} \leq \sigma \frac{(9)(4.798)^2}{2.700}$

$10.892 \leq \sigma^2 \leq 76.736$

Now we just take square root on both sides of the interval and we got:

$3.30 \leq \sigma \leq 8.76$

So the best option would be:

3.30<σ<8.76

7 0

2 years ago

Graph f(x)=4x^3-4x-2

maw [93]

Answer:

minimum: ( $\frac{\sqrt{3} }{3} , -\frac{8\sqrt{3} }{9}-2$ )

maximum: (- $\frac{\sqrt{3} }{3} , \frac{8\sqrt{3} }{9}-2$ )

vertical intercept: (0 , -2)

Step-by-step explanation:

3 0

2 years ago

Which statement is true? 5 6 8 27 을 ll < - 3 8 4 8 6 6

Neko [114]

Fractions

We are going to be checking each statement in order to find which of them are correct:

<h2>5/6 < 6/8 - 5/6 is smaller than 6/8</h2>

We can see that in the drawing 3/8 is smaller than 5/6. Then this statement is false.

<h2>4/6 < 5/8 - 4/6 is smaller than 5/8</h2>

We can see that in the drawing 5/8 is smaller than 4/6. Then this statement is false.

<h2>2/6 = 3/8 - 2/6 is equal to 3/8</h2>

We can see that in the drawing 3/8 is bigger than 2/6. Then this statement is false.

<h2>3/6 = 4/8 - 3/6 is equal to 4/8</h2>

We can see that in the drawing 4/8 is equal to 3/6. Then this statement is true.

<h2>Answer: 3/6 = 4/8</h2>

6 0

1 year ago

A scooter was bought at Rs 42,000. its value depreciated at the rate of 8% per annum. find its value after one year

Alona [7]

Answer:

Rs 38,640

Step-by-step explanation:

<u>Pay attention:</u>

$A = P(1+r/100)^n$

The principle (p) : Rs 42,000

Rate of interest (r) : 8%

Time (n) : 1 years

Exact Amount (a) : P(1-R/100)^n

Value:

A = 42,000(1 - 8/100)^1

A = 42,000(1 - 2/25)

A = (42,000 * 23)/25

A = 1,680 * 23

A = Rs 38,640

4 0

2 years ago

A squirrel climbs 15 feet up a tree. He then runs 8.26 feet down the tree. How much further does the squirrel need to go before

Lostsunrise [7]

That would be 15 - 8.26 = 6.74 feet

4 0

2 years ago

Read 2 more answers