Answer:
It's the bottom right, the rectangle
Answer:
k=14/5
Problem:
Three points have coordinates A (0 , 7) , B (8 , 3) and C (3k , k)
Find the value of the constant k for which C lies on the line that passes through A and B
Step-by-step explanation:
The slope of a line containing points (a,b) and (c,d) is found by computing (b-d)/(a-c). This is just the change in y divided by the change in x.
The slope of a line containing points (0,7) and (8,3) is (7-3)/(0-8)=4/-8=-1/2.
The slope of a line containing points (0,7) and (3k,k) and (8,3) is still -1/2 because it doesn't matter what two points on a line you use to calculate the slope. The slope will remain the same no matter the pair of points on the line you choose for it's calculation.
So lets pretend the question is now find the point (3k,k) such that a line with slope -1/2 goes through (3k,k) and (0,7).
We want to solve the equation:
(k-7)/(3k-0)=-1/2
Simplify denominator
(k-7)/(3k)=-1/2
Cross multiple
(k-7)(2)=(-1)(3k)
Distribute or multiply
2k-14=-3k
Subtract 2k on both sides
-14=-5k
Divide both sufes by -5
-14/-5=k
Simplifying fraction
14/5=k
Answer:
<h3>Minimum area: 6.75 km2, maximum area: 10 km2.</h3>
Step-by-step explanation:
We are given that a rectangle has length = 2km and width = 5km.
Formula for area is :
Area = Length × Width
Plugging values in above formula for area, we get
Area = 2km × 5km
On multiplying 2 and 5, we get 10.
Therefore,
![Area = 10\ km^2](https://tex.z-dn.net/?f=Area%20%3D%2010%5C%20km%5E2)
So, the maximum area possible area is
.
Therefore, you can choose correct option as:
<h3>Minimum area: 6.75 km2, maximum area: 10 km2.</h3>
Answer:
Step-by-step explanation:
Given that :
the null and the alternative hypothesis are computed as :
![H_o: \mu_1 = \mu_2](https://tex.z-dn.net/?f=H_o%3A%20%5Cmu_1%20%3D%20%5Cmu_2)
![H_a : \mu _1 \neq \mu_2](https://tex.z-dn.net/?f=H_a%20%3A%20%5Cmu%20_1%20%5Cneq%20%5Cmu_2)
This is a two tailed test
This is because of the ≠ sign in the alternative hypothesis which signifies that the rejection region in the alternative hypothesis are at the both sides of the hypothesized mean difference .
Decision Rule: at the level of significance ∝ = 0 . 10
The decision rule is to reject the null hypothesis if z < - 1 . 64 and z > 1 . 64
NOTE: DURING THE MOMENT OF TYPING THIS ANSWER THERE IS A TECHNICAL ISSUE WHICH MAKES ME TO BE UNABLE TO SUBMIT THE FULL ANSWER BUT I'VE MADE SCREENSHOTS OF THEM AND THEY CAN BE FOUND IN THE ATTACHED FILE BELOW
A=pi times r•r
A=pi (9•9)
A=254.47