-4(3)=-12
-4(6)=-24
-12+(-24)=-36
Nice handwriting!
I am pretty sure that its 18(?)
(I'm just a pleb, sorry if its wrong)
Answer:
There is not enough evidence to reject the null hypothesis.
Their sum is greater than the probability value , the data does not fit the experiment and the null is accepted.
Step-by-step explanation:
There are 3 colors so degrees of freedom = 3-1 = 2
The chi square value = 0.85
The p value for chi square =0.85 for 2 degrees of freedom for the left tailed test to be 0.34623 for 0.1,0.05 and 0.01 significance level.
There is not enough evidence to reject the null hypothesis.
The p value for chi square =0.85 for 2 degrees of freedom for the right tailed test to be 0.65377 for 0.1,0.05 and 0.01 significance level.
There is not enough evidence to reject the null hypothesis.
Their sum is greater than the probability value , the data does not fit the experiment and the null is accepted.
Answer:
<h2>For the first triangle, <u>x equals 22cm.</u></h2>
Here's how:-
x is the altitude or height of the triangle. To find it, we can use the Pythagoras theorem:-

The base is 120cm and the hypotenuse is 122cm
Putting this in the equation, we get:-



= 484
altitude = 
<h3>altitude = 22cm</h3><h2><u>So, x = 22cm</u></h2>
The Pythagorean's Theorem for our situation would look like this:

So let's call the short leg s, the long leg l and the hypotenuse h. It appears that all our measurements are based on the measurement of the short leg. The long leg is 4 more than twice the short leg, so that expression is l=2s+4; the hypotenuse measure is 6 more than twice the short leg, so that expression is h=2s+6. And the short leg is just s. Now we can rewrite our formula accordingly:

And of course we have to expand. Doing that will leave us with

Combining like terms we have

Our job now is to get everything on one side of the equals sign and solve for s

That is now a second degree polynomial, a quadratic to be exact, and it can be factored several different ways. The easiest is to figure what 2 numbers add to be -8 and multiply to be -20. Those numbers would be 10 and -2. Since we are figuring out the length of the sides, AND we know that the two things in math that will never EVER be negative are time and distance/length, -2 is not an option. That means that the short side, s, measures 10. The longer side, 2s+4, measures 2(10)+4 which is 24, and the hypotenuse, 2s+6, measures 2(10)+6 which is 26. So there you go!