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yulyashka [42]
3 years ago
13

Use dimensional analysis to convert the quantity to the indicated units.

Mathematics
1 answer:
Eva8 [605]3 years ago
4 0

Answer:

27 ft = 324 inches

Step-by-step explanation:

We want to use dimensional analysis to convert a quantity here

27 ft to inches

Mathematically;

12 inches = 1 ft

so;

x inches = 27 ft

So the number of inches will be 27 * 12 = 324 inches

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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
What is (1,5) and (-2,-1) in slope intercept form
Tasya [4]

Answer: y=2x+3

Step-by-step explanation:

y=mx+b

slope: 2

Y-intercept: 3

I'm sorry if this is wrong!

5 0
3 years ago
What is the measure of the secant DE?
ladessa [460]
Using the formula (AB +BC) *BC = (DE +CD) *CD

fill i n what is known:

(17 + 4) *4 = (DE +6) *6

21*4 = (DE +6)*6

84 = (DE+6)*6

84/6 = DE+6

14 = DE +6

DE = 14-6
DE = 8
4 0
3 years ago
Plz help me with this question​
Hunter-Best [27]

Answer:

i have no idea girl or boy

Step-by-step explanation:

3 0
3 years ago
Examine this system of linear<br> equations.<br> y – 3x=-2,<br> y = 4
Verdich [7]

Answer:

2, 4

Step-by-step explanation:

Ok so for this you have to substitute. y=4 so you put a 4 where the y is. This becomes

4 - 3x = -2 We can already rule out (2,2) and (4,2) Why? Because the y is not a 4. So it’s gonna be either (0,4) or (2,4). Now, we have to find x. We have to isolate it. You do this by subtracting 4 from both sides.

4 - 4 - 3x = -2 - 4 Now Simplify

-3x = -6 Why -6? Because you can’t subtract a positive from a negative so it becomes -2 + -4. Since they are both negatives, you just add them together, then put the negative sign.

Now divide -3 from both sides. Which becomes

x = 2

4 0
3 years ago
Read 2 more answers
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