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3 years ago

Quadratic functionI need help writing quadratic functions the zeroes are 3 and -10

Mathematics

1 answer:

rusak2 [61]3 years ago

3 0

Answer:

у = x² + 7x - 30

Step-by-step explanation:

x₁ = 3 and x₂ = -10

Use the formula (x - x₁)(x - x₂) = 0

(x - 3)(x - (-10)) = 0

(x - 3)(x + 10) = 0

x² + 10x - 3x - 30 = 0

x² + 7x - 30 = 0

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From 19 measurements of a pressure controller, the mean operating pressure is 4.97 kPa with a standard deviation of 0.0461 kPa.

Semenov [28]

Answer:

$4.97-2.10\frac{0.0461}{\sqrt{19}}=4.95$

$4.97+2.10\frac{0.0461}{\sqrt{19}}=4.99$

So on this case the 95% confidence interval would be given by (4.95;4.99)

Step-by-step explanation:

Previous concepts

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 means 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.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X =4.97$ represent the sample mean

$\mu$ population mean (variable of interest)

s=0.0461 represent the sample standard deviation

n=19 represent the sample size

Confidence interval

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=19-1=18$

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 table to find the critical value. The excel command would be: "=-T.INV(0.025,18)".And we see that $t_{\alpha/2}=2.10$

Now we have everything in order to replace into formula (1):

$4.97-2.10\frac{0.0461}{\sqrt{19}}=4.95$

$4.97+2.10\frac{0.0461}{\sqrt{19}}=4.99$

So on this case the 95% confidence interval would be given by (4.95;4.99)

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Answer:

Step-by-step explanation:

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2 years ago

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VladimirAG [237]

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3 years ago

Read 2 more answers

Convert 88% to a fraction.<br> a 1/8<br> b 22/25<br> c 23/50<br> d 22/55

Elena L [17]

Answer:

The correct answer is B 22/25

Step-by-step explanation:

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3 years ago

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EastWind [94]

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3 years ago

Quadratic functionI need help writing quadratic functions the zeroes are 3 and -10​

Quadratic functionI need help writing quadratic functions the zeroes are 3 and -10