Answer:
Step-by-step explanation:
GIVEN: A farmer has of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one side of the pen. The length of the barn is .
TO FIND: Determine the dimensions of the rectangle of maximum area that can be enclosed under these conditions.
SOLUTION:
Let the length of rectangle be and
perimeter of rectangular pen
area of rectangular pen
putting value of
to maximize
but the dimensions must be lesser or equal to than that of barn.
therefore maximum length rectangular pen
width of rectangular pen
Maximum area of rectangular pen
Hence maximum area of rectangular pen is and dimensions are
Answer:
A unit rate is a rate with 1 in the denominator
Answer:
B) (x^2-2x)/(2x+6)
Step-by-step explanation:
When dividing fractions, it's just like multiplying the reciprocal of the second fraction : x/y divided by z/w = x/y * w/z.
We use that and we get (x-2)/(x+3) * x/2. we simplify and get x(x-2)/2(x+3). So Our answer is B
Answer:
Correct option: (D).
Step-by-step explanation:
The hypothesis for testing whether there is a difference between the two population proportions is:
<em>H₀</em>: The population proportion of students who drive to school for R and S is same, i.e. <em>p</em>₁ = <em>p</em>₂.
<em>Hₐ</em>: The population proportion of students who drive to school for R was greater than that for S, i.e. <em>p</em>₁ > <em>p</em>₂.
The difference between the two sample proportion is,
And the <em>p</em>-value of the test is:
<em>p</em>-value = 0.114
The <em>p</em>-value is well defined as the probability, [under the null-hypothesis (H₀)], of attaining a result equivalent to or greater than what was the truly observed value of the test statistic.
We reject a hypothesis if the <em>p</em>-value of a statistic is lower than the level of significance <em>α</em>.
The <em>p-</em>value of 0.114 indicates that, assuming the null hypothesis to be true, the probability of obtaining a difference between the two sample proportions of at least 0.07 is 0.114.
The correct option is (D).
Answer:
w=4 I think
Step-by-step explanation:
hope this helps