Answer:
Option D
Step-by-step explanation:
A type I error occurs when you reject the null hypothesis when it is actually true.
The null hypothesis in this case is minimum breaking strength is less than or equal to 0.5.
A type one error would be allowing the production process to continue when the true breaking strength is below specifications.
Answer:
Step-by-step explanation:
Given triangle is a right angle triangle
To find out x we use Pythagorean theorem
where c is the hypotenuse
c=square root (20),
Plug in the values in the formula
Subtract 20 on both sides
Divide whole equation by 2
0=x^2-2x-8
factor the right hand side
Set each factor =0 and solve for x
so
so
The length x cannot be negative, so
Answer:
C; B
Step-by-step explanation:
The direct/explicit formula for a geometric sequence is the following:
Where <em>aₙ </em>represents the term <em>n</em>, <em>a</em> represents the initial value, and <em>r</em> represents the common ratio.
Therefore, to find the <em>nth</em> term, we just need to find the initial value and the common ratio.
1)
-8, 24, -72, 216...
The common ratio is the ratio between each consecutive term. Do two to confirm that they are indeed the same. Thus:
So, the common ratio is -3. And the initial value is -8. Thus, putting them into our equation:
Thus, the eighth term will be:
C
2)
Again, find the common ratio.
2, -14, 98, -686...
The common ratio is -7. The initial value is 2. Thus:
And the sixth term will be:
B
Step-by-step explanation: The place value chart can help us write a number in expanded notation. When we put 2,930,365 into the place value chart, we can recognize that our number is equal to 2 millions + 9 hundred thousands + 3 ten thousands + 0 thousands + 3 hundreds + 6 tens + 5 units.
The place value chart is attached in the image provided.
Answer:
x = 6
Step-by-step explanation:
6(9+x) = 5(3x)
6*9 + 6*x = 5*3x
54 + 6x = 15x
54 = 15x - 6x
54 = 9x
x = 54/9
x = 6
check:
(9+6)/(3*6) = 5/6
15/18 = 5/6