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vladimir2022 [97]
3 years ago
8

Given that (-9,-1) is on the graph of f(x) find the corresponding point for the function f(x+3).

Mathematics
1 answer:
Semmy [17]3 years ago
6 0
If you begin with the graph for f(x) and then substitutde x+3 for x, the effect on the graph will be to move the whole graph 3 units to the left.  

Given that (-9,-1) is on the graph of f(x), and that we are to move the entire graph 3 units to the left, then the coordinate -9 becomes -9-3, or -12:  (-12,-1).

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Let us suppose we have data on the absorbency of paper towels that were produced by two different manufacturing processes. From
maksim [4K]

Answer:

The 95% CI for the difference of means is:

-155.45 \leq \mu_1-\mu_2 \leq -44.55

Step-by-step explanation:

<em>The question is incomplete:</em>

<em>"Find a 95% confidence interval on the difference of the towels mean absorbency produced by the two processes. Assumed that the standard deviations are estimated from the data. Round to two decimals places."</em>

Process 1:

- Sample size: 10

- Mean: 200

- S.D.: 15

Process 2:

- Sample size:  4

- Mean: 300

- S.D.: 50

The difference of the sample means is:

M_d=M_1-M_2=200-300=-100

The standard deviation can be estimated as:

\sigma_d=\sqrt{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}\\\\\sigma_d=\sqrt{\frac{15^2}{10}+\frac{50^2}{4}} =\sqrt{22.5+625}=\sqrt{647.5}=25.45

The degrees of freedom are:

df=n_1+n_2-2=10+4-2=12

The t-value for a 95% confidence interval and 12 degrees of freedom is t=±2.179.

Then, the confidence interval can be written as:

M_d-t\cdot \sigma_d\leq \mu_1-\mu_2 \leq M_d+t\cdot \sigma_d\\\\-100-2.179*25.45\leq \mu_1-\mu_2 \leq -100+2.179*25.45\\\\-100-55.45 \leq \mu_1-\mu_2 \leq -100+55.45\\\\ -155.45 \leq \mu_1-\mu_2 \leq -44.55

8 0
3 years ago
4 is less than w, and 8 is greater than or equal to w​
sesenic [268]

Answer:

4 < w

8 > w

The greater than sign would have a line under it.

Step-by-step explanation:

7 0
2 years ago
How many faces does this shape have?
Veseljchak [2.6K]
DO NOT LISTEN TO THE OTHER PERSON, you can CLEARLY see thats not the right answer. She/He is bluffing.

The true answer:
The shape has 4 faces. Faces means the sides of a 3d figure/the sides are the 2d shapes that form together to form one 3d figure. Btw that figure is a triangular pyramid.
Com.ment me if u have any questions

Have a nice day!
4 0
3 years ago
Write an expression using the distributive property that can be used to find the quotient 56 / 4
olga55 [171]

Hello there! :)

<u><em>Answer:</em></u>

<u><em>14</em></u>

<u><em>*The answer must have a positive sign.*</em></u>

Step-by-step explanation:

<h3><u><em>Lesson: Order of operations and Distributive property</em></u></h3>

Pemdas

Stands for:

Parenthesis

Exponents

Multiply

Divide

Add

Subtract

Left to right

Distributive property: a(b+c)=ab+ac

Divide by the numbers from left to right.

56/4=14

<u><em>Final answer is 14.</em></u>

Hope this helps!

Thanks!

-Charlie

Have a nice day! :)

:D

-Charlie

5 0
2 years ago
Help me with the circled ones
mash [69]
On 5, the answer would be Area equals base plus base squared divided by two times by height I believe.
3 0
3 years ago
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