Answer:
Step-by-step explanation:
About 3.5 . Divide.
Answer:
the inter-quartile range will increase
Step-by-step explanation:
The initial data-set was;
20,32,32,45,50
Adding a new value 78 will have several effects;
The mean of the new set of values will increase since 78 is mostly likely to be an outlier.
The median of the new data set will increase. The median of the old data set is 32 while that of the new data set will be 38.5
The mode is the most frequent observation. Both the new and the old sets of values will have a mode of 32. The mode will therefore remain the same.
The inter-quartile range just like the range will increase
Answer:
x = 2
Step-by-step explanation:
-3 +6x = 25 -8x
Add 8x to each side
-3 +6x+8x = 25 -8x=8x
-3+14x = 25
Add 3 to each side
-3+3+14x = 25+3
14x = 28
Divide by 14
14x/14 = 28/14
x = 2
Answer:
a) 
b)

c)

d)
cos 330° = 1- 2 sin² (165°)
Step-by-step explanation:
<u><em>Step(i):-</em></u>
By using trigonometry formulas
a)
cos2∝ = 2 cos² ∝-1
cos∝ = 2 cos² ∝/2 -1
1+ cos∝ = 2 cos² ∝/2

b)
cos2∝ = 1- 2 sin² ∝
cos∝ = 1- 2 sin² ∝/2

<u><em>Step(i):-</em></u>
Given

we know that trigonometry formulas

1- cos∝ = 2 sin² ∝/2
Given

put ∝ = 315

multiply with ' 2 sin (∝/2) both numerator and denominator

Apply formulas

1- cos∝ = 2 sin² ∝/2
now we get

b)

put ∝ = 330° above formula



c )

put ∝ = 315° above formula


d)
cos∝ = 1- 2 sin² ∝/2
put ∝ = 330°

cos 330° = 1- 2 sin² (165°)
Answer:
<u>a. two or more samples are equal.</u>
<u>Step-by-step explanation:</u>
ANOVA (Analysis of Variance) is a statistical procedure that could be used to compare two or more population means are equal.
Remember, the means referred to here is the expected value or average value of a set of numbers, which is calculated by summing the values in a given set divided by the number of values. Also, put simply, the analysis of variance is a measure of how much differences exist out a data set.