What is the square root of 8X^2 divided by 12X^5

1. Find p(-3) if p(x) = 4x3 - 5x2 + 7x - 10

SVETLANKA909090 [29]

Answer:

1) -184

2) 13 $(m^{4}) ^{2}$ -3( $m^{4}$ )+4

Step-by-step explanation:

For problem number 1, Let's start by substituting all the x's for -3

So the equation will look like

p(-3)= $4(-3)^{3}$ - $5(-3)^{2}$ +7(-3)-10

Now, lets simplify by solving the exponents

First we'll do $-3^{3}$ which equals -27

Now we'll do $-3^{2}$ which equals 9

So now our equation looks like

p(-3)=4(-27)-5(9)+7(-3)-10

Now, we are going to multiply all these numbers

First 4(-27) which equals -108

Now -5(9) which equals -45

And finally 7(-3) which equals -21

Now our equation looks like

p(-3)= -108-45-21-10

Now we can solve

-108-45-21-10=-184

8 0

4 years ago

An interior automotive supplier places several electrical wires in a harness.Apull test measures the force required to pull spli

oksano4ka [1.4K]

Answer:

a) For this case we can use the following R code to construct the qq plot

> data<-c(28.8, 24.4, 30.1, 25.6, 26.4, 23.9, 22.1, 22.5, 27.6, 28.1, 20.8, 27.7, 24.4, 25.1, 24.6, 26.3, 28.2, 22.2, 26.3, 24.4)

# The above line is in order to store the data in a vector

> qqnorm(data, pch = 1, frame = FALSE)

# The line above is in order to calculate the quantiles from the data assumin Normal distribution

> qqline(data, col = "steelblue", lwd = 2)

# The line above is in order to put a line for the theoretical dsitribution

The result is on the figure attached.

b) For this case as we can see on the figure attached the calculated quantiles are not far from the theorical quantiles given byt the straaigth blue line so then we can conclude that the distribution seems to be normal.

Step-by-step explanation:

For this case we have the following data:

28.8, 24.4, 30.1, 25.6, 26.4, 23.9, 22.1, 22.5, 27.6, 28.1, 20.8, 27.7, 24.4, 25.1, 24.6, 26.3, 28.2, 22.2, 26.3, 24.4

The quantile-quantile or q-q plot is a graphical procedure in order to check the validity of a distributional assumption for a data set. We just need to calculate "the theoretically expected value for each data point based on the distribution in question".

If the values are asusted to the assumed distribution, we will see that "the points on the q-q plot will fall approximately on a straight line"

For this case our distribution assumed is normal.

Part a

For this case we can use the following R code to construct the qq plot

> data<-c(28.8, 24.4, 30.1, 25.6, 26.4, 23.9, 22.1, 22.5, 27.6, 28.1, 20.8, 27.7, 24.4, 25.1, 24.6, 26.3, 28.2, 22.2, 26.3, 24.4)

# The above line is in order to store the data in a vector

> qqnorm(data, pch = 1, frame = FALSE)

# The line above is in order to calculate the quantiles from the data assuming Normal distribution (0,1)

> qqline(data, col = "steelblue", lwd = 2)

# The line above is in order to put a line for the theoretical distribution

The result is on the figure attached.

Part b

For this case as we can see on the figure attached the calculated quantiles are not far from the theorical quantiles given byt the straaigth blue line so then we can conclude that the distribution seems to be normal.

4 0

4 years ago

NEED HELP ASAP !! MARKIN BRAINIEST !!<br><br> btw the choices for all of em are is not or is

yulyashka [42]

answers are

is

is not

is

is not

8 0

3 years ago

The graph of y=f(x) is the solid black graph below. Which function represents the dotted graph?

Fed [463]

Answer: y = f(x - 4) - 1, lower left corner

=============================================================

Explanation:

Let's focus on only the left-most points of each curve

For the black semicircle, the left-most point is located at (-7,0). The corresponding point on the red semicircle is at (-3,-1)

To go from (-7,0) to (-3,-1), we will do two things

Shift 4 units to the right
Shift 1 unit down

This can be done in any order. The action of "shift 4 units to the right" is effectively the same as shifting the xy axis 4 units to the left while keeping the curves fixed in place. This gives the illusion of movement. When we shift 4 the xy axis 4 units to the left, we're replacing each x input with x-4 as the new input.

In short, we go from f(x) to f(x-4). This is why we have this opposite motion going on.

The up and down motion is fairly straight forward. To shift 1 unit down, we subtract off 1. This is to subtract 1 from the y coordinate.

Overall, we go from y = f(x) to y = f(x - 4) - 1

Applying this transformation will move (-7,0) to (-3,-1) as described above. It will also move every other point on the black curve to their new corresponding location on the red curve.

3 0

3 years ago

Erin is making fruit salad.For each bowl of fruit salad,she needs 2/3 cup of strawberries.How many cups will she use if she make

grigory [225]

She needs 18 times of 2/3 cup, this is

$18\cdot \frac{2}{3}=12$ cups

5 0

4 years ago

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