Answer:
F = 105
Step-by-step explanation:
The sum of the interior angles of a polygon with n sides is (n – 2)180.
This polygon has 6 sides so the sum of the interior angles is (6-2) * 180 =
720
Add up the angles
x-60 +x-40 +130 +120 +110 + x-20 +x-20 = 720
Combine like terms
4x +220 = 720
Subtract 220 from each side
4x+220-220 = 720-220
x = 500
Divide each side by 4
4x/4=500/4
x = 125
We want to find angle F
F = x-20
= 125-20
105
Answer:
We reject the null hypothesis, and accept the alternative hypothesis.
So, it means that the machine is under filling the bags
Step-by-step explanation:
Given
Null Hypothesis
--- works correctly at 419g
Alternate Hypothesis
--- under fills the bag
--- the sample
--- the mean
--- the standard deviation
--- the significance level
Required
What is the decision rule
Since n is less than 30, we make use of t test
Calculate df
Calculate the p value from the Student's t-distribution at df = 14 and
Given that:
Since
So, it means that the machine is under filling the bags
Answer:
Step-by-step explanation:
Given
CE=85
In , using trigonometry
Answer:
Step-by-step explanation:
<u>1- digit numbers: </u>
- 1 to 9, number of digits = 9
<u>2- digit numbers:</u>
- 10 to 99, number of digits = 2(99 - 9) = 180
<u>3- digit numbers:</u>
- 100 to 999, number of digits = 3(999 - 99) = 2700
This is more than we have, but we know the number of pages is 3-digit.
<u>Let it be x, then we have:</u>
- 9 + 180 + 3(x - 99) = 1074
- 3(x - 99) = 1074 - 189
- 3(x - 99) = 885
- x - 99 = 885/3
- x - 99 = 295
- x = 295 + 99
- x = 394
Step-by-step explanation:
Actual graph for this problem is attached below
m∠TUV = 167°
m∠TUL = (x + 11)°
m∠LUV = (11x)°
m∠TUV=
m∠TUL+
m∠LUV
now plug in the angles for each
m∠TUV=
m∠TUL+
m∠LUV
solve the equation for x
Subtract 11 from both sides
divide both sides by 12
x=13
m∠TUL = (x + 11)°
m∠TUL = (13+ 11)°
= (24)°
answer:
24°