Answer:
H0 : mu1 = mu2
Ha : mu1 ≠ mu2
Which means
Null hypothesis H0; the true mean price when buying from a friend mu1 and the true mean price when buying from a stranger mu2 is the same/equal
Alternative hypothesis Ha; the true mean price when buying from a friend mu1 and the true mean price when buying from a stranger mu2 is different (not equal)
Step-by-step explanation:
The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean(i.e it tries to prove that the old theory is true). While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.
Therefore, for the case above;
H0 : mu1 = mu2
Ha : mu1 ≠ mu2
Which means
Null hypothesis H0; the true mean price when buying from a friend mu1 and the true mean price when buying from a stranger mu2 is the same/equal
Alternative hypothesis Ha; the true mean price when buying from a friend mu1 and the true mean price when buying from a stranger mu2 is different (not equal)
Answer:
The scale factor for dilation can be worked out from the ratio of sides.
Here, for i.e, I'H'/IH = (8 + 4)/(4 + 2) = 12/6 = 2
Hope this helps!
:)
ANSWER
The function if the graph is,

EXPLANATION
We want to write the function for the graph that, goes through (1,8) and (0,2).
Let the function be of the form

Where m is the slope and

is the y-intercept.
The slope is

The equation becomes,
2(2-x) ≤ -3x -2
4- 2x ≤ -3x -2
4+2 ≤ -3x +2x
6 ≤- x
x ≤ - 6
hope it helped
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Define x :
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Let the two digit number be 10x + y.
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Construct Equation :
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<span>Four times the units digit is six less than twice the tens digit
</span>⇒ 4y = 2x - 6
⇒2y = x - 3
⇒ x = 2y + 3
<span>The number is nine less than three times the number obtained by reversing the digits.
</span>⇒10x + y = 3(10y + x) - 9
⇒ 10x + y = 30y + 3x - 9
⇒ 7x = 29y - 9
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Solve for x and y :
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x = 2y + 3 ----------------------- (1)
10x = 29y - 9 ------------------- (2)
Sub (1) into (2) :
7(2y + 3) = 29y - 9
14y + 21 = 29y - 9
15y = 30
y = 2 ------------------- Sub into (1)
x = 2(2) + 3
x = 7
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Find the number:
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Number = 10x + y = 10(2) + 7 = 27
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Answer: The 2-digit number is 27.
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