<h2>
Answer:</h2><h2>
<em>4</em><em>0</em><em>0</em></h2>
Step-by-step explanation:
12% × ? = 48
? =
48 ÷ 12% =
48 ÷ (12 ÷ 100) =
(100 × 48) ÷ 12 =
4,800 ÷ 12 =
400;
Answer:
a) Null Hypothesis: length of each screw is less than 14 centimeters
b) Alternate Hypothesis: length of each screw is equal to or greater than 14 centimeters
Step-by-step explanation:
Complete question
A factory that manufactures screws is performing a quality control experiment. Each object should have a length of no more than 14 centimeters. The factory believes that the length of the screws exceeds this value and measures the length of screws. The sample mean screw length was centimeters. The population standard deviation is known to be centimeters.
1. What is the null hypothesis?
2. What is the alternative hypothesis?
Solution :
The null hypothesis is basically the problem statement that needs to be tested.
Alternate hypothesis is opposite of that of null hypothesis
a) Null Hypothesis: length of each screw is less than 14 centimeters
b) Alternate Hypothesis: length of each screw is equal to or greater than 14 centimeters
Since two of the triangles are similar that means they are the same thing :
<A = <L
108 = 108
<C is twice from <M so :
<C is 2x < M is x
as you note down the answer you can draw two triangles and label them according to thier values, you will see that triangle ABC has two things now ;
a = 108 and c = 2x
when you have two measures in a triangle you can find the 3rd one :
suppose that third < of triangle ABC is x ;
108 + 2x + x = 180
108 + 3x = 180
3x = 180 - 108
3x = 72
<u> </u>
<u> x = 24</u><u />
<u>
<m = 24 </u>
further if you want to find C : < c = 2x
< c = 2 ( 24 )
< c = 48
48
There are two sets of equal triangles together they each equal a square so one sets area is 36 and the others area is 12
