Answer:
404 times
Step-by-step explanation:
Answer:
x = .87, or when approximated to a fraction, 27/31
y = -3.67, or when approximated to a fraction, -1287/350
Step-by-step explanation:
Lets start by rewriting out our equations
2x + 7y = -24
18x + y = 12
Lets solve for a y value; the second equation is easiest, as the y value has no coefficient (the number that is multiplied times a variable). To do this, lets move the 18x to the other side. Now our two equations look like:
2x + 7y = -24
y = -18x + 12
Next, lets plus the second equation into the first equation in regards to y.
2x + 7(-18x + 12) = -24
Now, lets solve!
2x -126x + 84 = -24
Then, combine your terms!
-124x = -108
Divide by (-124)!
x = -108/-124
x = 27/31
Now that we know x, lets plug this back in to the first equation to find y!
2(27/31) + 7y = -24
1.74 + 7y = -24
7y = -25.74
y = -3.67, or when approximated to a fraction, -1287/350
Answer:
The test statistic for this hypothesis test for a proportion is z=1.90.
Step-by-step explanation:
This is a hypothesis test for a proportion.
The claim is that the unemployment rate is less than 5%.
Then, the null and alternative hypothesis are:
The sample has a size n=1500.
The sample proportion is p=0.061.
The standard error of the proportion is:
Then, we can calculate the z-statistic as:
<span> Not 100% sure but I think it is: consumers need to be better informed about what services are available and what those services cost.</span>
Answer:
-7π/3 or -420 degrees
Step-by-step explanation:
So we know that the arrow has made one full rotation and that it is moving in a clockwise direction. So already we have -2π degrees.
The arrow stops at π/6 before the next π/2 rotation. Therefore we find the difference between the two.
π/2 - π/6
3π/6 - π/6 = 2π/6
π/3
Since this is still clockwise, we make this negative. So the measure of the angle shown by the arrow is -2π - π/3
