Answer:
(A) When the sample size increases, both α and β may decrease.
Step-by-step explanation:
Which of the following is correct?
(A) This option is right.
When a sample's size increases, the values for alpha and beta may decrease; if and only if sample size is the denominator in the slope equation (in each case) and the numerator stays the same (that is, ceteris paribus; all other things being equal). The larger the denominator, the smaller the slope value for alpha and beta.
(B) This option is wrong
Type 2 error can only occur when you fail to reject a true H0
(C) This option is wrong
Type 1 error can only occur if or when you don't reject a false H0
(D) This option is wrong
The level of significance is the probability of a Type 1 error, not the probability of a Type 2 error.
The correct question is
<span>
Penelope determined the solutions of the quadratic function by completing the square.f(x) = 4x² + 8x + 1
–1 = 4x² + 8x
–1 = 4(x² + 2x)
–1 + 1 = 4(x² + 2x + 1)
0 = 4(x + 2)²
0 = (x + 2)²
0 = x + 2
–2 = x
What error did Penelope make in her work?
we have that
</span>f(x) = 4x² + 8x + 1
to find the solutions of the quadratic function
let
f(x)=0
4x² + 8x + 1=0
Group terms that contain the same variable, and move the
constant to the opposite side of the equation
(4x² + 8x)=-1
Factor the
leading coefficient
4*(x² + 2x)=-1
Complete the square Remember to balance the equation
by adding the same constants to each side.
4*(x² + 2x+1)=-1+4 --------> ( added 4 to both sides)
Rewrite as perfect squares
4*(x+1)²=3
(x+1)²=3/4--------> (+/-)[x+1]=√3/2
(+)[x+1]=√3/2---> x1=(√3/2)-1----> x1=(√3-2)/2
(-)[x+1]=√3/2----> x2=(-2-√3)/2
therefore
the answer is
<span>
Penelope should have added 4 to both sides instead of adding 1.</span>
Answer:
3. 112.2 yd
4. 30m
Step-by-step explanation:
Number 3:
- L × W (length × width) = A
- 18.7 × 6 = 112.2 yd
Number 4:
- B × H (base × height) = A
- 6 × 5 = 30 m
I hope this helps!
