There are 40 cats in the ecosystem.
You set 1/5 equal to x/200. Then you cross multiply the fractions to get 5x=200. You divide both terms by 5 to get x, which equals 40.
Using a t-distribution calculator and finding the p-value, the correct option regarding the conclusion is given by:
a) the p-value is 0.02. We reject h0 at the 5% significance level because the p-value 0.02 is less than 0.05.
<h3>What is the relation between the p-value and the conclusion?</h3>
It also involves the significance level, as follows.
- If the p-value is less than the significance level, we reject the null hypothesis
.
- If it is more, we do not reject.
In this problem, a t-distribution calculator for a right-tailed with <em>t = 2.15 and 25 - 1 = 24 df</em> is used to find a p-value of 0.02.
It is less than 0.05, hence option a is correct.
More can be learned about p-values at brainly.com/question/26454209
Answer: Domain: x=-2. Range: -2<=y<1
Step-by-step explanation:
Domain: The line is only on one x-point and that is x=-2.
Range: The line is ranging form -2 to 1. However, y=1 is not included on the line but y=-2 is. Hence, the range is notated as -2<=y<1.
Answer:
y = 9.75
Step-by-step explanation:
Since both triangles are said to be similar, the proportion or ratio of the sides of both triangles would be equal.
Therefore, 39/y = 23/5.75 = 35/8.75
Let's find y
39/y = 23/5.75
==>Cross multiply
39*5.75 = 23*y
224.25 = 23y
==>Divide both sides by 23
224.25/23 = y
9.75 = y
y = 9.75
Check:
Thus,
39/9.75 = 23/5.75 = 35/8.75 = 4
Our answer y, which is 9.75, is correct.
