Answer:
x = 2, y = 9 or (2,9)
Step-by-step explanation:
Hello!
The first equation "y = 5x - 1" is telling us that y is equal to 5x - 1
We can plug in the first equation into the second like this:
2x + y = 13 (we know y so we can plug it in)
2x + (5x - 1) = 13
2x + 5x - 1 = 13
7x - 1 = 13
Now we add 1 to both sides
7x - 1 + 1 = 13 + 1
7x = 14
x = 2
Now we plug in x to find y:
y = 5x - 1
y = 5(2) - 1
y = 10 - 1
y = 9
Answer:
Correct option:
"The distribution of the statistic in all possible samples of size <em>n</em> from a given population."
Step-by-step explanation:
The sampling distribution is a probability distribution of a sample statistic.
A sample statistic is a numerical value representing a characteristic of a sample. For example, the sample mean represents the mean value of the sample, the sample variance represent the variance of the sample. Both of these values are sample statistic.
A statistic is an unbiased estimator of the parameter value.
That is, the sample mean value can be used to estimate the value of population mean.
If various large samples are taken from a population and the sample statistic value is computed for each of these samples, then the probability distribution of theses sample statistic is known as the sampling distribution.
The mean of the sampling distribution is same as the population mean and the standard deviation of the sampling distribution is known as the standard error.
The correct option is:
"The distribution of the statistic in all possible samples of size <em>n</em> from a given population."
Answer:
B. 147 feet
Step-by-step explanation:
We can easily imagine a right triangle for this problem. The height of the triangle is what we're looking for (x), at the bottom of x, we have the right angle formed by the building and the ground. The other side of that right angle is the distance to the car (300 ft). On top of the x side, we have the angle of 63 degrees looking down, since Craig is looking down by 27 degrees (90 - 27 = 63).
We can easily apply the Law of Sines that says:

Then we can isolate c and fill in the values:

So, we know Craig's eyes are 153 feet above ground... since Craig is 6 feet tall, the balcony sits at 147 feet high (153 - 6 = 147).
Answer:
40
Step-by-step explanation:
anything percent out of 100 is the same number without percent
Answer:
10- 4x
Step-by-step explanation:
decreased = subtract
times = multiply