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3 years ago

What is the consequence of L'hopital's Rule?

Mathematics

1 answer:

arlik [135]3 years ago

8 0

Answer:

So, L'Hospital's Rule tells us that if we have an indeterminate form 0/0 or ∞/∞ all we need to do is differentiate the numerator and differentiate the denominator and then take the limit. (Brainliest? :3)

Step-by-step explanation:

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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:

The question is incomplete:

"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."

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

(23 + ) + 19 = 23 + ( + 19)

Tpy6a [65]

I think it should be 42

6 0

3 years ago

What are two ways the debt to GDP ratio can decrease?

kobusy [5.1K]

Think of debt to GDP as a fraction. Debt / GDP

So the two ways the ratio can decrease is if the nominator decreases (for example 2/3 goes to 1/3), or the denominator increases (1/3 goes to 1/4).
Dose this help?

5 0

3 years ago

Read 2 more answers

Geoff must mentally multiply –5 × 0.75 × 20. Which shows how Geoff could use the associative and commutative properties to make

joja [24]

Answer:

Step-by-step explanation:

–5 × 0.75 × 20 could be rewritten (applying the associative property) as –5 × (0.75 × 20). I chose this configuration because 0.75 * 20 is 15. Next, evaluate -5(15). This is -75. This matches Answer D.

4 0

2 years ago

Read 2 more answers

Sooo I need to know the answer to the second picture

tatuchka [14]

Answer:

Origin symmetry?

Step-by-step explanation:

I believe it's origin, simply because it isn't symmetric according to either the x or y axis, but I'm not 100% sure

3 0

3 years ago

What is the consequence of L'hopital's Rule?​

What is the consequence of L'hopital's Rule?