Answer: It depends on what you're asking. If it can be equal, then yes. If it must be less, then no.
Step-by-step explanation:
Every composite number has a square root equal or less than its square root.
Answer:
y = -3
Step-by-step explanation:
The first thing you should know is that a horizontal line always has a slope of 0. When the line is horizontal, the y coordinate never changes. So, your equation in slope intercept is:
y = -3
Answer:
The probability that the proportion of rooms booked in a sample of 423 rooms would differ from the population proportion by less than 6% is 0.9946.
Step-by-step explanation:
According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
The mean of this sampling distribution of sample proportion is:
The standard deviation of this sampling distribution of sample proportion is:
The information provided here is:
<em>p</em> = 0.27
<em>n</em> = 423
As <em>n </em>= 423 > 30, the sampling distribution of sample proportion can be approximated by the Normal distribution.
The mean and standard deviation of the sampling distribution of sample proportion are:
Compute the probability that the proportion of rooms booked in a sample of 423 rooms would differ from the population proportion by less than 6% as follows:
*Use a <em>z</em>-table.
Thus, the probability that the proportion of rooms booked in a sample of 423 rooms would differ from the population proportion by less than 6% is 0.9946.
Answer:
x = 3
Step-by-step explanation:
f(x) = g(x)
9(x - 3)(x - 3) = 0
x = 3
The length of the pen is 8 meters and the width is 5 meters.
Explanation:
Since it is a rectangular goat pen the length and width can the the same number. So now just think of all the number that can be multiplied to get 40 and try them to see if they fit the perimeter too.
Say you get 8 and 5.
To check this you have to multiply the length times the width to see if it works for the area (which is 40 meters.
And 8 × 5 = 40, so these side lengths satisfy the area part... now to check if it works for the perimeter.
To find perimeter you add up all the sides. So if the length and width were to be 8 and 5 you would have to add up 8 + 8 + 5 + 5 To get the perimeter.
The total of 8 + 8 + 5 + 5 = 26 which satisfys the perimeter measurement.
So now you know the side lengths 8 (L) and 5 (W) work!