Answer:
x = -1 and y = 1/2
Step-by-step explanation:
Let u = 1/x, and v = 1/y
Then the pair of equations
-3/x + 4/y = 11
1/x - 2/y = -5
Can be written as
-3u + 4v = 11 .................................(1)
u - 2v = -5......................................(2)
From (2)
u = 2v - 5 .......................................(3)
Substituting (3) into (1)
-3(2v - 5) + 4v = 11
-6v + 15 + 4v = 11
-6v + 4v = 11 - 15
-2v = -4
v = 4/2 = 2
Substituting this value of v in (3)
u = 2v - 5
u = 2(2) - 5
= 4 - 5
= -1
That is
u = -1, v = 2
Since u = 1/x, and v = 1/y, we have
1/x = -1
=> x = -1
And
1/y = 2
=> y = 1/2
Therefore
x = -1 and y = 1/2
Answer:
There is not enough evidence to support the claim that Alaska had a lower proportion of identity theft than 23%.
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 1432
p = 23% = 0.23
Alpha, α = 0.05
Number of theft complaints , x = 321
First, we design the null and the alternate hypothesis
This is a one-tailed test.
Formula:
Putting the values, we get,
Now, we calculate the p-value from the table.
P-value = 0.298
Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept the null hypothesis.
Conclusion:
Thus, there is not enough evidence to support the claim that Alaska had a lower proportion of identity theft than 23%.
-2, -5, -8
You're subtracting three each time.
Answer:
-5p-3
Step-by-step explanation:
use the distributive property
CMR for the first and MRC for the second
JUST TRUST YOU DON'T HAVE TIME