Hi there!
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I believe your answer is:
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Here’s why:
- We will use inverse operations to solve for 'x'.
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Hope this helps you. I apologize if it’s incorrect.
Answer:
<em>z </em>= 9
Step-by-step explanation:
ln 63 = ln z + ln 7
We have the formula:
ln A + ln B = ln AB
So, ln 63 = ln 7<em>z</em>
7<em>z </em>= 63
Divide both sides by 7.

<em>z</em> = 9
The sample mean of the random sample is 50
The margin of error (E) is the amount of error allowed in the random sample.
The confidence interval (CI) is given by:
CI = μ ± E = (μ - E, μ + E)
Given a confidence interval of (38.02, 61.98), hence:
μ - E = 38.02 (1)
μ + E = 61.98 (2)
Hence solving equations 1 and 2 simultaneously gives:
μ = 50, E = 11.98
Hence the sample mean of the random sample is 50
Find out more at: brainly.com/question/24131141
Answer:
The ordered pair (4,1) gives a true statement for both equations.
Step-by-step explanation:
So for the first equation, x + 2y = 6. The ordered pair is (4,1). This means x=4 and y=1 because ordered pairs are in (x,y) form. First substitute the x and y values into the first equation
Let x=4 y=1
x + 2y = 6.
4 + 2(1) = 6
4 + 2 = 6
6=6. This means that the ordered pair works for the first equation.
Now, the second equation. x - y = 3.
Again, substitute the x and y values.
4 - 1 = 3
3=3. This means that the ordered pair (4,1) works for the second equation.
The ordered pair (4,1) gives a true statement for both equations.