Answer:
in order to find the area, we should break up the figure. you can see that in the image we have a quarter of a circle and a square. here are the areas for each of these shapes
square:
circle:
but since we only have a quarter of this circle we need to divide the area by 4 so the formula becomes
now we can plug in our numbers
we are given 6 m for our radius or length of square
the square will be (6)^2 = 36 m^2
now onto our circle
π(6)^2/4 = 28.26 m^2
now add these two shapes together to find the total area = 64.26 m^2
Answer:
<h2>The slope of the line tangent to the function at x = 1 is 2.01 ≅2.</h2>
Step-by-step explanation:
Using the formula of derivative, it can be easily shown that, 
where 
.
Here we need to show that as per the instructions in the given table.
Δy = f(x + Δx) - f(x) = f(1 + 0.01) - f(1) = 
.
In the above equation, we have put x = 1 because we need to find the slope of the line tangent at x = 1.
Hence, dividing Δy by Δx, we get, 
.
Let's examine this taking a smaller value.
If we take Δx = 0.001, then Δy = 
.
Thus, 
.
The more smaller value of Δx is taken, the slope of the tangent will be approach towards the value of 2.
I really dont understand what your asking, but probably 75%
Answer:
Step-by-step explanation:
Hello!
To decide over a hypothesis test using a confidence interval the following conditions are to be met:
1. The hypotheses should be two-tailed.
2. The hypotheses and the confidence interval should be made for the same parameter.
3. The confidence level and the significance level should be complementary, so if the CI is 1-α: 0.99 the level of significance should be α: 0.01
If all conditions are met, the decision rule is the following:
If the value stated in the null hypothesis is contained by the CI, the decision is to not reject the null hypothesis.
If the value stated in the null hypothesis is not contained by the CI, the decision is to reject the null hypothesis.
Let's say in this example the hypotheses are:
H₀: μ = 71
H₁: μ ≠ 71
α: 0.01
99% Confidence level is (71.36;78.64).
As you can see, 71 is not contained in the CI so the decision to take is to reject the null hypothesis, in other words, the population mean is not 71.
I hope it helps!
Multiply 912 x 512 x 3 = ? then divide your answer by 12 .
