Answer:
If the null hypothesis is true in a chi-square test, discrepancies between observed and expected frequencies will tend to be small enough to qualify as a common outcome.
Step-by-step explanation:
Here in this question, we want to state what will happen if the null hypothesis is true in a chi-square test.
If the null hypothesis is true in a chi-square test, discrepancies between observed and expected frequencies will tend to be small enough to qualify as a common outcome.
This is because at a higher level of discrepancies, there will be a strong evidence against the null. This means that it will be rare to find discrepancies if null was true.
In the question however, since the null is true, the discrepancies we will be expecting will thus be small and common.
Answer:
18
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
first, see the formula in the attached picture.
now, by applying that formula we get :
the coefficient of the x7y2 is :
9C7 = 36 (you can either use a calculator or just the algebraic formula)
Question: What value of c will complete the square below (
) and make the expression a perfect square trinomial?
Answer: c = 225
Step-by-step explanation:
Perfect square trinomials come in the form a² + 2ab + b², which is equal to (a + b)². In the presented trinomial, we can immediately identify that <u>a = x, and b² = c</u>, but we need to find the numerical value of 
.
To do this, note that the middle term, or <u>2ab, corresponds with (is equal to) 30x</u>. We know that a = x, and thus, <u>2ab = 2bx</u>. Now, 2bx and 30x are corresponding terms; thus, <u>2bx = 30x</u>.
Dividing by 
on both sides gives us <u>b = 15</u>. Therefore, c = b² = 15² = 225. (As a squared binomial, this would be (x + 15)² as a = x and b = 15.)
4.a) 2x=7*3
2x=21
x=21/2 OR
x=10.5
4.b)5x=25*6
5x=150
x=150/5
x=30
4.c)4x=5*14
4x=70
x= 70/4
x=17.5
4.d)4x=9*3
4x=27
X=27/4
X=6.75
4.e)x=0.05*3
X=0.15
4.f)x=0.25*7
X=1.75
4.g)x=0.4*1.5
X=0.6
4.h)x=0.7*2.2
X=1.54
5a)x/7=7-3
X/7=4
X=4*7
X=28
B)2x/5=3+8
2x/5=11
2x=11*5
2x=55
X=55/2
X=27.5
C)2x/3=74-26
2x/3=48
2x=48*3
2x=144
X=72
(I can’t finish all but it is the same method )
