Answer:
Step-by-step explanation:
Given that a confidence interval was constructed using the sample standard deviation, say CI-1.
We then construct a confidence interval with the same numerical values of sample mean, standard deviation, and sample size, but this time assuming the population standard deviation is known, say CI-2.
When population std dev is known we use std error =
For sample std deviation s, we use std error =
When s= sigma, there will not be any difference between these two confidence intervals.
So answer is equal.
- 70
Step-by-step explanation:
Answer from: Quest
d, x=8
step-by-step explanation:
simplifying
4x + -5 = 2x + 11
reorder the terms:
-5 + 4x = 2x + 11
reorder the terms:
-5 + 4x = 11 + 2x
solving
-5 + 4x = 11 + 2x
solving for variable 'x'.
move all terms containing x to the left, all other terms to the right.
add '-2x' to each side of the equation.
-5 + 4x + -2x = 11 + 2x + -2x
combine like terms: 4x + -2x = 2x
-5 + 2x = 11 + 2x + -2x
combine like terms: 2x + -2x = 0
-5 + 2x = 11 + 0
-5 + 2x = 11
add '5' to each side of the equation.
-5 + 5 + 2x = 11 + 5
combine like terms: -5 + 5 = 0
0 + 2x = 11 + 5
2x = 11 + 5
combine like terms: 11 + 5 = 16
2x = 16
divide each side by '2'.
<span><span>Let x = the 10's digit
Let y - units digit
then
10x + y = original number
:
Write and equation for each statement:
;
"the units digits of a two-digit number is 3 more than twice the tens digit."
y = 2x + 3
:
"If the digits are reversed, the new number is 9 less than 4 times the original number."
10y + x = 4(10x+y) - 9
10y + x = 40x + 4y - 9
10y - 4y = 40x - x - 9
6y = 39x - 9
:
Find the original number.
:
Substitute (2x+3) for y in the above equation:
6(2x+3) = 39x - 9
12x + 18 = 39x - 9
18 + 9 = 39x - 12x
27 = 27x
x = 1
:
Then using y = 2x+3
y = 2(1) + 3
y = 5
:
Original number = 15
:
:
Check solution in the statement:
"If the digits are reversed, the new number is 9 less than 4 times the original number."
51 = 4(15) - 9</span><span>
</span></span>
Answer:
20.38
Step-by-step explanation:
64/3.14=20.38
20.38 is the diameter
Answer: A.14x + 6; the answer is a polynomial
Step-by-step explanation:
Since all of the variables have integer exponents that are positive this is a polynomial.