Solve the simultaneous equations 4x+8y=-4 2y-5x=23
2 answers:
Answer:
y is equal to 1.5, and x is equal to -4
Step-by-step explanation:
given:
We can start by factoring 4 out of the first equation:
Now let's multiply it by -5:
We'll rearrange the other equation to match that (just for clarity):
Now let's subtract the modified equation from that:
So y is equal to 18/12, or 1.5
Let's plug that into one of the first equations and see what we get:
Giving us an x value of negative four. Let's plug that into the other equation to confirm:
That matches up, so our answer is correct.
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Answer:
There is not enough evidence to conclude that average starting salary for clerical employees in the state is less than $35,000 per year.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 35,000 dollars per year
Sample mean, = 34,700 dollars per year
Sample size, n = 100
Alpha, α = 0.10
Population standard deviation, σ = 3,500 dollars per year
First, we design the null and the alternate hypothesis
We use one-tailed z test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
Since,
We fail to reject the null hypothesis and accept the null hypothesis.
Thus, there is not enough evidence to conclude that average starting salary for clerical employees in the state is less than $35,000 per year.