Answer:
28 units^2
Step-by-step explanation:
1. First, let's divide this figure into two shapes: a square and a trapezoid. (Look at the image below explanation for division).
2. Next, we should know the area formulas of the square and trapezoid.
- Square:
, where s = side
, where a and b = top and bottom and h = height
3. Solving Area of Square and Trapezoid
. Area of square is 16
. Area of trapezoid is 12.- 16 + 12 = 28
Therefore, the area of the figure is 28 units^2.
Answer:
The coefficient is 9
Step-by-step explanation:
(a)(b)(c)+(a)(2c)(2a)+(2b)(b)(c)+(2b)(2c)(2a)
abc+4ca^2+2cb^2+8abc
9abc+4ca^2+2cb^2
Answer:
32 nd term
Step-by-step explanation:
The formula for the sequence is
n² + 1 ( that is 1 added to each square number )
Equate to 1025 and solve for n
n² + 1 = 1025 ( subtract 1 from each side )
n² = 1024 ( take the square root of both sides )
n =
= 32
Answer:
I could be wrong, but I think it's D
Answer: c. z = 1.35; Reject the null hypothesis
Step-by-step explanation:
Let
be the average life expectancy of its batteries.
As per given , we have
Null hypothesis : 
Alternative hypothesis : 
Since
is right-tailed and population standard deviation is also known, so we perform right-tailed z-test.
Test statistic : 
where, n= sample size
= sample mean
= Population mean
=population standard deviation
For
, we have

Critical one-tailed test value for 0.10 significance level :

Decision : Since critical z value (1.28) < test statistic (1.35), so we reject the null hypothesis .
[When critical value is less than the test statistic value , we reject the null hypothesis .]