Answer:
The answer is -1.2
Step-by-step explanation:
Recalling the standard deviation formula,
we have : σ = sqrt[ P * ( 1 - P ) / n ]
Where sqrt = square root
n = Number of derivative
Therefore,:
if, H0: p is not 48% vs H1: p1 = 48%
standard deviation is:
σ = sqrt[ P * ( 1 - P ) / n ] = sqrt[ .48*.49/900 ] = .01666333+
z -score is (p-P)/σ
= (.51-.53)/.01666333
The answer therefore = -1.2
ICONCLUSION:
It can therefore be concluded that there is statistical evidence that the proportions are different. H0 accepted in the hypothesis.
The answer to the equation is x < 2.
Answer:
64 cm²
Step-by-step explanation:
Firstly,let us lay down the clues;
So, we have been given the Length and Width of the rectangle.
Rectangle;
<em>Length</em><em>=</em><em> </em><em>10</em><em> </em><em>cm</em>
<em>Width</em><em>=</em><em>6</em><em> </em><em>cm</em>
We know that
Perimeter= 2L + 2W
Perimeter= 10+10+6+6
Perimeter =32 cm
In the questionnaire, it is mentioned that a square has the same perimeter as the rectangle. That means, the perimeter of the square is similar to the one of the rectangle which is 32 cm.
So,
Perimeter of square =32 cm
Length of one side of the square =32÷4
=8 cm
Area= L × W
Area= 8 cm× 8 cm
Area= 64 cm²
Hope it helps.
Answer:
Going from left to right, 84, 31, 74, then 111 on top and 228 on bottom
Step-by-step explanation:
6% or 0.06 is the simple interest rate the bank pays him.
<u>Step-by-step explanation:</u>
Sir Ving Spoon earned $5,436 on his $7,550 certificate of deposit.
From this given information,
It can be determined that the Principal amount is $7550 and the interest amount is $5436.
The CD is for 12 years. Therefore, the number of years is 12.
<u>To find the interest rate (r) :</u>
Using the simple interest formula,
Interest = P×r×t
where,
- P is the principal amount = $7550
- r is the rate of interest.
- t is the number of years = 12
⇒ 5436 = 7550 × r × 12
⇒ 5436 = 90600 × r
⇒ r = 5436 / 90600
⇒ r = 0.06
Multiply by 100 to represent in rate %
⇒ r = 0.06 × 100
⇒ r = 6%
∴ 6% or 0.06 is the simple interest rate the bank pays him.
