61

Looking for the number that belongs to X

tester [92]

Answer:

60 should be your answer

3 0

4 years ago

Finding the interpolating polynomial for the function

zhenek [66]

Answer:

f(x) = x^3 -2x^2 -3x +7

Step-by-step explanation:

Cubic polynomial regression using your favorite tool (graphing calculator, spreadsheet, or web site) will tell you the interpolating polynomial is ...

f(x) = x^3 -2x^2 -3x +7

_____

You can use Lagrange polynomial interpolation. It gives the function as the sum of four factored cubics:

$f(x)=3\cdot\dfrac{(x-2)(x-3)(x-4)}{(1-2)(1-3)(1-4)}+1\cdot\dfrac{(x-1)(x-3)(x-4)}{(2-1)(2-3)(2-4)}+\\\\\text{ }\qquad7\cdot\dfrac{(x-1)(x-2)(x-4)}{(3-1)(3-2)(3-4)}+27\cdot\dfrac{(x-1)(x-2)(x-3)}{(4-1)(4-2)(4-3)}$

Or, you can write equations for the coefficients a, b, c, d of ...

ax^3 +bx^2 +cx +d = f(x)

These would be ...

a + b + c + d = 3

8a +4b +2c +d = 1

27a +9b +3c +d = 7

64a +16b +4c +d = 27

Your friendly linear equation solver will tell you ...

(a, b, c, d) = (1, -2, -3, 7) . . . matches the equation shown above

6 0

3 years ago

Plz :<

insens350 [35]

Answer:

D 8 hours

Step-by-step explanation:

it has to be positive and it is obviously more than 1 hour so it has to be 8 hours by process of elimination.

5 0

3 years ago

Jayce made a scale drawing of the elementary school. He used the scale 7 centimeters = 1 meter. What is the drawing's scale fact

galben [10]

Answer:

Is this multiple choice or do you have to do it on your own with your own answer?

Step-by-step explanation:

4 0

2 years ago

A vending machine automatically pours soft drinks into cups. The amount of soft drink dispensed into a cup is normally distribut

labwork [276]

Answer:

a) $P(X>8)=P(\frac{X-\mu}{\sigma}>\frac{8-\mu}{\sigma})=P(Z>\frac{8-7.6}{0.4})=P(Z>1)$

And we can find this probability using the complement rule and the standard normal table or excel:

$P(Z>1)=1-P(Z$

b) $P(X$

And we can find this probability using the standard normal table or excel:

$P(Z$

c) For this case we have a total of 868 cups and we know that the fraction of cups that will be overflow is 0.159, so then the expected number of cups overflow would be:

$N = 868*0.159= 138.012 \approx 138$

Step-by-step explanation:

Previous concepts

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".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable that represent the amount of soft frink of a population, and for this case we know the distribution for X is given by:

$X \sim N(7.6,0.4)$

Where $\mu=7.6$ and $\sigma=0.4$

We are interested on this probability

$P(X>8)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X>8)=P(\frac{X-\mu}{\sigma}>\frac{8-\mu}{\sigma})=P(Z>\frac{8-7.6}{0.4})=P(Z>1)$

And we can find this probability using the complement rule and the standard normal table or excel:

$P(Z>1)=1-P(Z$

Part b

We are interested on this probability

$P(X$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X$

And we can find this probability using the standard normal table or excel:

$P(Z$

Part c

For this case we have a total of 868 cups and we know that the fraction of cups that will be overflow is 0.159, so then the expected number of cups overflow would be:

$N = 868*0.159= 138.012 \approx 138$

6 0

4 years ago