The slope of the line is 2. Why? Well, see below for an explanation!
The slope of a line is found by using the formula rise/run (rise over run). This means that by starting at the initial value of the y-intercept, 3, we would count how many units away we are from the next complete point. We do so by counting from left to right, and in this case, going up and then to the right. To get from the point (0, 3) to the point (1, 5), we would move two spaces vertically along the y-axis and one space horizontally along the x-axis. Because the slope of the line is found using the formula m = rise over run, the slope would be 2/1 because we went up 2 points and to the right one. When simplifying, we will find that 2 divided by 1 equals 2. Hence, our slope is 2.
Your final answer: The slope of the line is 2/1 or 2. If you need extra help, let me know and I will gladly assist you.
One, not a question you should ask here.
Two, choose yourself, it's your life, take advantage of it.
Answer:
A. DE
Step-by-step explanation:
The side opposite the angle with the largest measure is the longest
<F has a measure of 72, so it is the largest angle and DE is opposite <F
Answer:
P-value 0.0013 is the probability that the samples drawn from a population where the true proportion of Canadians who read at least one book is not different than the true proportion of Britons who read at least one book in the past year. Assuming a <em>0.01 </em><em>significance level</em>, since this probability is low (0.0013<0.01) we can reject the null hypothesis and confirm a higher reading rate in Canada.
Step-by-step explanation:
let
p(c) be the true proportion of Canadians who read at least one book in the past year, and
p(b) be the true proportion of Britons who read at least one book in the past year
Then, the hypotheses are
From the Poll we have two samples. Sampling distributions are:
n1=1004 p1=0.86 mean1=n1×p1=863.44 standard deviation1=
=
≈0.3470
n2=1009 p2=0.81 mean2=n2×p2=817.29 standard deviation2=
=
≈0.3923
The formula for the test statistic is given as:
z=
where
- p1 is the sample proportion of Canadians who read at least one book in the past year (0.86)
- p2 is the sample proportion of Britons who read at least one book in the past year (0.81)
- p is the pool proportion of p1 and p2 (
)
- n1 is the sample size of Canadians (1004)
- n2 is the sample size of the Britons (1009)
Then
z=
≈ 3.02
P-value of the test statistic is ≈0.0013.
The probability of the samples drawn from a population where p(c)=p(b) is 0.0013. Assuming a <em>0.01 </em><em>significance level</em>, since this probability is low (0.0013<0.01) we can reject the null hypothesis and confirm a higher reading rate in Canada.
Answer:
A perfect square is a number that can be expressed as the product of two equal integers.
The only way to accurately calculate if a number is a perfect square is to find the factors. Before we go through the trouble of finding the factors, there is a quick trick you can use to help determine if you need even need to do the extra work.
Try these steps first:
A number that is a perfect square never ends in 2, 3, 7 or 8. If your number ends in any of those numbers, you can stop here because your number is not a perfect square.
Obtain the digital root of the number. The digital root essentially is the sum of all of the digits. If you're lost, don't worry, we'll go over each step in more detail below.
All possible numbers that are a perfect square have a digital root of 1, 4, 7, 9.
Let's try it...
Step 1:
What is the last number of 512? It is this number: 512. The answer is 2. Is 2 in the list of numbers that are never perfect squares (2, 3, 7 or 8)?
Answer: YES, 2 is in the list of numbers that are never perfect squares. The number 512 is NOT a perfect square and we can stop here as there is not need to complete the rest of the steps.
