Answer:
3
Step-by-step explanation:
FH is 4x + 2x.
4x + 2x = 18
6x = 18
Divide both sides by 6.
6x/6 = 18/6
x = 3
I hope this helps.
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Let x be the length of one side of the smaller square
Let y be the length of one side of the larger square
4x would be the perimeter of the smaller square, as it has 4 sides
Therefore 4x = y + 10, as the perimeter of the smaller square is 10 inches bigger than one side of the larger square.
We're going to solve this question using simultaneous equations. This means we need another equation to compare the first one to.
Since we know that one side of the larger square is 2 inches bigger than the first one, we can make the equation
y = x + 2
Know that we know the value of y in terms of x, we can introduce this value to the original equation to find:
4x = (x + 2) + 10
Therefore:
4x = x + 12
3x = 12
x = 4
Now that we know the size of the sides on the smaller square, we can figure out the size of the larger square by using our second equation (y = x + 2)
y = 4 + 2
y = 6
Therefore, the length of each side of the larger square is<u> B.6</u>
Answer:
<em>H₀</em>: <em>μ</em>₁ - <em>μ</em>₂ = 0 vs. <em>Hₐ</em>: <em>μ</em>₁ - <em>μ</em>₂ > 0.
Step-by-step explanation:
A test is to be performed to determine whether the average sales are higher in stores where customers are approached by salespeople than in stores where they aren't.
A two-sample test can be used to determine whether there is a significant difference between the sales of the stores where the customers are approached by salespeople and the stores where the customers are not approached by salespeople.
We can either use the <em>z</em>-test or <em>t</em>-test. If the population standard deviation for the sales of the two stores are given then we will use the <em>z</em>-test. And if not then the <em>t</em>-test will be used.
1 : group of stores where customers are approached by salespeople
2 : group of stores where customers are not approached by salespeople
The hypothesis can be defined as follows:
<em>H₀</em>: There is no difference between the average sales of the two stores, i.e. <em>μ</em>₁ - <em>μ</em>₂ = 0.
<em>Hₐ</em>: The sales for the store 1 is higher than that for store 2, i.e. <em>μ</em>₁ - <em>μ</em>₂ > 0.
Answer: 720
Step-by-step explanation:
Number of different ways he can create a path to 3 different roller coasters is given by;
N = nPr ( n permutation r) = n!/(n-r)!
Where n is the total number of roller coasters = 10
and r is the number of roller coasters he could ride = 3
Therefore,
N = 10P3 = 10!/(10-3)! = 10!/7!
N = 10×9×8 = 720
N = 720
Answer:
720 i would think.
Step-by-step explanation:
