Find f. f ''(x) = −2 + 36x − 12x2, f(0) = 8, f '(0) = 18 f(x) =

Answer:

a) The margin of error for a 90% confidence interval when n = 14 is 18.93.

b) The margin of error for a 90% confidence interval when n=28 is 12.88.

c) The margin of error for a 90% confidence interval when n = 45 is 10.02.

Step-by-step explanation:

The t-distribution is used to solve this question:

a) n = 14

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 14 - 1 = 13

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 13 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.7709

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 1.7709\frac{40}{\sqrt{14}} = 18.93[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The margin of error for a 90% confidence interval when n = 14 is 18.93.

b) n = 28

27 df, T = 1.7033

[tex]M = T\frac{s}{\sqrt{n}} = 1.7033\frac{40}{\sqrt{28}} = 12.88[/tex]

The margin of error for a 90% confidence interval when n=28 is 12.88.

c) The margin of error for a 90% confidence interval when n = 45 is

44 df, T = 1.6802

[tex]M = T\frac{s}{\sqrt{n}} = 1.6802\frac{40}{\sqrt{45}} = 10.02[/tex]

The margin of error for a 90% confidence interval when n = 45 is 10.02.

Answer:

C. 904.78 cubic inches

Step-by-step explanation:

The volume of a cylinder = πr²h

=π(6²)(8)

=288π

=904.778684234 in³

Answer:

0.5 meters a second or 0.5:1

Step-by-step explanation:

10 meters ÷ 20

_______________

20 seconds ÷ 20

=  

0.5 meters

_______________

1 second  

Answer:

46

Step-by-step explanation:

Answer:

https://concalculator.com/sand-calculator/

Step-by-step explanation:

thats the link to  the answer

Answer:

1. 3

2. 5

3. 13

Step-by-step explanation:

there is your answers :)

Answer:

The first option

(-10, -7)

Step-by-step explanation:

Also I really like your pfp <33

The description that will show that it is safe to perform inference is that (a) Both dotplots are roughly symmetric. There are no outliers in either dotplot.

In order to use the two-sample t procedure to make inferences, certain conditions need to be met such as the sample being random and independent.

The variances for the groups in the data need to be equal which is why the presence of no outliers in either dotplot would present an safe opportunity to be able to perform inferences on the data.

In conclusion, option A is correct.

Find out more on two-sample t-tests at https://brainly.com/question/17438355.

there's your answer.............

Answer:

[tex]\frac{1}{8}[/tex] cup

Step-by-step explanation:

[tex]y=\frac{7}{8} -\frac{1}{4}-\frac{1}{2}[/tex]

[tex]y=\frac{7}{8}-\frac{2}{8}-\frac{4}{8}[/tex]

[tex]y=\frac{7}{8}-\frac{6}{8}[/tex]

[tex]y=\frac{1}{8}[/tex]

Answer:

18.90

Step-by-step explanation:

3x12=36

36-15=21

21 x 0.9

Answer:

$19.65

Step-by-step explanation:

12*3=36

15*.09=1.35

15+1.35=16.35

36-16.35=$19.65

Answer:

There's 3 pages in the book

Step-by-step explanation:

You add both of the amounts of stickers (12+9=21), then you divide by the amount on each page (21÷7=3)

Hope this helped!

9514 1404 393

Answer:

  $70

Step-by-step explanation:

The amount Elijah has remaining is ...

  $300 -(70 +2×33 +80 +2×7) = $300 -(70 +80 +2(33 +7)) = $300 -230 = $70

To the nearest dollar, Elijah has $70 left.

_____

Each amount is within a penny of the nearest dollar, so we can simply use the nearest dollar amounts for the prices. In order for the answer to be different, Elijah would have to purchase 50 or more items with this pricing (something.99).

Given:

ABCD is a parallelogram, A(-3,-1), B(1,4), C(4,-1).

To find:

The x-coordinate of point D.

Solution:

Let the point D be (x,y).

We know that the diagonals of a parallelogram bisect each other. So, third midpoints are same.

Midpoint formula:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

In parallelogram ABCD, AC and BD are two diagonals.

Midpoint of AC = Midpoint of BD

[tex]\left(\dfrac{-3+4}{2},\dfrac{-1+(-1)}{2}\right)=\left(\dfrac{1+x}{2},\dfrac{4+y}{2}\right)[/tex]

[tex]\left(\dfrac{1}{2},\dfrac{-2}{2}\right)=\left(\dfrac{1+x}{2},\dfrac{4+y}{2}\right)[/tex]

[tex]\left(\dfrac{1}{2},-1\right)=\left(\dfrac{1+x}{2},\dfrac{4+y}{2}\right)[/tex]

On comparing both sides, we get

[tex]\dfrac{1}{2}=\dfrac{1+x}{2}[/tex]

[tex]1=1+x[/tex]

[tex]1-1=x[/tex]

[tex]0=x[/tex]

Similarly,

[tex]-1=\dfrac{4+y}{2}[/tex]

[tex]-2=4+y[/tex]

[tex]-2-4=y[/tex]

[tex]-6=y[/tex]

The coordinates of point D are (0,-6).

Therefore, the x-coordinate of point D is 0.

9514 1404 393

Answer:

  (b)  ±4

Step-by-step explanation:

  4r^2 -5 = 59 . . . . given

  4r^2 = 64 . . . . . . . add 5

  r^2 = 16 . . . . . . . . . divide by 4

  r = ±4 . . . . . . . . . . . take the square root

Answer:

top and bottom

Step-by-step explanation:

Answer:

(2, 5)

Step-by-step explanation:

(x,y) -> )- y,x)

Answer:

D is correct

Step-by-step explanation:

as negatives grow bigger, the amount is smaller. Like if u owe somone $20, but u ask them for another $5, the number would be = -$25. so -3 1/2 is greater than -4.5

Answer:

B. Negative

Step-by-step explanation:

So first, we want to locate the variable.

y (x/y) = (y/1) (x/y)

           = (xy/y)

           = x

The y/y cancels out and now we know we need to find the sign of x. Because x is to the left of 0, it's negative. Anything to the left decreases and anything to the left of 0 is (-).

Answer: Jessica can use her measuring cup 11 times.

(hope this helps!)

Answer:

5 hr 30 minutes

2:12 pm

Step-by-step explanation:

s= 550km

v = 100km/hr

t = ?

SPEED = DISTANCE/ TIME TAKEN

or, v = s/t

or, 100km/hr = 550km/ t

or, t = 550/100

t = 5.5

t = 5 hrs 30 minutes

8:42

+5:30

13 :72

which is 14 :12 = 2 :12

Answer:

The median is 6.5

Step-by-step explanation:

To find the median, first organize the numbers from least to greatest:

1, 4, 6, 6, 7, 8, 9, 10

The median is always the number in the middle, but since there are eight numbers here, there will be two numbers in the middle: 6 and 7.

To solve for this, we have to find the average of the numbers.

Add the two numbers together and then divide by 2 (we divide by 2 because we are averaging two numbers).

(6 + 7)/2

13/2

6.5

Answer:

just multiply by 9 :)

Step-by-step explanation:

Answer:

25

200 divided by 8 is 25.

Step-by-step explanation:

Answer: B. 6 - 7i

Step-by-step explanation:

The complex conjugate of the given graph of the complex number is 6-7i.

We have given that,

7 – 6i

6 – 7i

–7 + 6i

–6 + 7i

We have to determine the conjugate of z.

changing the sign of the imaginary part of the complex number. To find the complex conjugate of 4+7i we change the sign of the imaginary part. Thus the complex conjugate of 4+7i is 4 - 7i.

Therefore the complex conjugate of the given graph of the complex number is 6-7i.

To learn more about complex numbers visit:

https://brainly.com/question/10662770

#SPJ5

Answer:

I’m not 100% sure but I think 120°.

Step-by-step explanation:

This is because, angles on a straight line add up to 180°. Because there is 60 degrees on one side of line B, this means the other section is 120° (120°+60°=180°) The angle labelled (3x) is alternate to the angle of 120°. Alternate angles are always equal, meaning that 3x is equal to 120°.

I hope this is right.

Answer:

-8

in this the arthmatic difference is table of 2

Answer:

the common d/f is that -2>-4>-6

Answer:

x=1, y=-5

Step-by-step explanation:

4(1)+2y=-6

2y=-10

y=-5

or

-3x-2(-5)=7

-3x=-3

x=1

Hope this helps!