Answer and Step-by-step explanation: The <u>critical</u> <u>value</u> for a desired confidence level is the distance where you must go above and below the center of distribution to obtain an area of the desired level.
Each sample has a different degree of freedom and critical value.
To determine critical value:
1) Calculate degree of freedom: df = n - 1
2) Subtract the level per 100%;
3) Divide the result by 2 tails;
4) Use calculator or table to find the critical value t*;
For n = 5 Level = 90%:
df = 4
t = = 0.05
Using t-table:
t* = 2.132
n = 13 Level = 95%:
df = 12
t = = 0.025
Then:
t* = 2.160
n = 22 Level = 98%
df = 21
t = = 0.01
t* = 2.819
n = 15 Level = 99%
df = 14
t = = 0.005
t* = 2.977
The critical values and degree of freedom are:
sample size level df critical value
5 90% 4 2.132
13 95% 12 2.160
22 98% 21 2.819
15 99% 14 2.977
Answer:
1.) 16.5
2.) 24.2 ft
3.) 10.8 ft
Step-by-step explanation:
1.) So first you need to use Heron's formula
S = (A + B + C)/2
So
S = (17 + 17 + 8)/2
S = 21
Now
Area =
So
So the Area is equal to 66.1
Now to find the height we use the Area of the triangle formula
A = 1/2 B*H
66.1 = 1/2(8) * H
66.1 = 4H
H = 16.525
So the height of the triangle is 16.5 units tall
2.) For this question you just use the Pythagorean theorem.
a² + b² = c²
So 22² + 8² = c²
484 + 64 = c²
548 = c²
= c
c = 24.1660919472 ft
So the length of the wire is 24.2 ft long
3.) Again this is the Pythagorean theorem.
a² + b² = c²
So 10² + 4² = c²
100 + 16 = c²
116 = c²
= c
c = 10.7703296143 ft
So the length of the banner is 10.8 ft long
There are 9 words on the list. If you see that 2/3 x 3/2 = 1, you can multiply 6 by 3/2 to get 9, since this is a proportion problem.
Answer:
Step-by-step explanation:
4 pounds
$9.05 = $1.45x + $3.25
(total cost = 1.45 times pounds, plus flat fee 3.25)
subtract 3.25 from both sides of equation
9.05-3.25=1.45x
$5.80 - = $1.45x, then divide both sides by 1.45
x = 4
Answer:
w= -1
Step-by-step explanation:
Use PEMDAS to solve.
9(1 + w) - 5w = 5
distribute 9 to everything inside the parentheses.
9 x 1 = 9
9 x w = 9w
rewrite equation
9 + 9w - 5w = 5
combine like terms
9w - 5w = 4w
rewrite equation
9 + 4w = 5
subtract 9 from both sides
9 - 9 = 0
5 - 9 = -4
rewrite equation
4w = -4
divide by 4 on both sides to get w by itself.
4w / 4 = w
-4 / 4 = -1
<u>Hope This Helps :)</u>