Define f(1) in a way that extends (S^3-1)/(S^2-1) to be continuous at S=1

A distance AB is observed repeatedly using the same equipment and procedures, and the results, in meters, are listed below: 67.4

skad [1K]

Answer:

a) $\bar X =\frac{67.401+67.400+67.402+67.396+67.406+67.401+67.396+67.401+67.405+67.404}{10}=67.401$

b) The sample deviation is calculated from the following formula:

$s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And for this case after replace the values and with the sample mean already calculated we got:

$s=0.0036$

If we assume that the data represent a population then the standard deviation would be given by:

$\sigma=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n}}$

And then the deviation would be:

$\sigma =0.00319$

Step-by-step explanation:

For this case we have the following dataset:

67.401, 67.400, 67.402, 67.396, 67.406, 67.401, 67.396, 67.401, 67.405, and 67.404

Part a: Determine the most probable value.

For this case the most probably value would be the sample mean given by this formula:

$\bar X =\frac{\sum_{i=1}^n X_i}{n}$

And if we replace we got:

$\bar X =\frac{67.401+67.400+67.402+67.396+67.406+67.401+67.396+67.401+67.405+67.404}{10}=67.401$

Part b: Determine the standard deviation

The sample deviation is calculated from the following formula:

$s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And for this case after replace the values and with the sample mean already calculated we got:

$s=0.0036$

If we assume that the data represent a population then the standard deviation would be given by:

$\sigma=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n}}$

And then the deviation would be:

$\sigma =0.00319$

3 0

3 years ago

12. If 5t + 2 = 6, then t =

tankabanditka [31]

It would be t=0.8, mainly bc you subtract two from six , that reduces it to four
then you divide four by five and it should give you your answer
and to chack your work put .8 where t was and solve

6 0

3 years ago

Read 2 more answers

4y-8-2y+5=0 help please

tia_tia [17]

4y - 8 - 2y + 5 = 0
2y - 3 = 0
2y = 3
y = 3/2

4 0

3 years ago

Which property was used to write the equation in step 2?

adelina 88 [10]

Answer:

A

Step-by-step explanation:

Given

5(x - 7) = 55, then using the distributive property, that is

a(b - c) = ab - ac, then

5x - 35 = 55

6 0

3 years ago

Read 2 more answers

(2) 345

inessss [21]

Answer:

275 miles in 5 hours

55 miles in one hour

Check

to check if im right

275×2 would be how many miles she drove in 10 hours rght ? 275×2=550

550 miles in 10 hours

we know one hour is 55 miles & 5 hours is 275 & 10 hours is 550

10 hours plus 3 hours = 13 hours right ?

55 ×3 = 165

550 +165=715

715 miles in 13 hours

Step-by-step explanation:

715÷13 to get how many miles she drove in one hour .

=55 miles in 1 hour .

then multiply 55 ×5 to get how many miles she drove in 5 hours

55×5=275

275 miles in 5 hours

5 0

3 years ago