Answer:
The value of given function for x = - 3 is 9
Step-by-step explanation:
Given as :
The y is the function of x is as
f( x ) = x²
So, For any value of x , the value of f( x ) should change
If, x = - 3
So, f ( - 3 ) = ( - 3 )²
Or, f ( - 3 ) = ( - 3 ) × ( - 3 )
i.e f ( - 3 ) = ( - × - ) ( 3 × 3 )
Or, f ( - 3 ) = ( + ) ( 9 )
∴ f ( - 3 ) = 9
So, The value of function f ( - 3 ) = 9
Hence , The value of given function for x = - 3 is 9 Answer
A = 1/2 b h
5 = 1/2 (5) h
10 = 5h
h = 10/5
h = 2
answer
2
Answer: the width of the rectangle
= 31feet.
Step-by-step explanation:
Perimeter of a triangle = 2( l + b)
let the width = xfeet
The length = 2x feet.
Substitute for this in the equation above,
2( 2x + x ) = 186
2(3x) = 186
Divide by 2 through
3x = 93
Divide by 3
x = 31feet. Therefore, the width of the rectangular = 31feet.
Check.
Since the length is twice the width,
L = 31 x 2
= 62feet.
Put that into the formula above
2( 62 + 31 )
2 x 93
= 186 which is the perimeter of the rectangle.
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Answer:
There is evidence since we have to apply a two-tailed test
p-value = 0.0212
Step-by-step explanation:
Given data:
α=0.05.
population std = 5.32
A) To test if there is difference in the comprehension of the lab based on test scores at α = 0.05. = 5%
we will apply a two-tailed test ( Null and alternate hypothesis test )
H0 : u1 = u2
Ha : u1 ≠ u2
there is evidence since we have to apply a two-tailed test
B ) Determine the P-value for the test
attached below a detailed solution ( solved using excel )
Z- test : two sample for means
p-value = 0.0212