To form the vector notation for the translation:
--> must find how much the new graph moved horizontally from the old
graph
--> <u>the graph moved 8 units horizontally</u>
--> must find how much the new graph moved vertically from the old
graph
--> <u>the graph moved 4 units vertically</u>
<u />
<u />
In vector notation, that would be <u>(8,4)</u>
<u></u>
Hope that helps!
Step-by-step explanation:
1. 5,11,17,23,29,35
Common difference is 6
3. 8,21,34, 47,60
Common difference is 13
5. 5,10,15,20,25
Common difference is 5
Answer:
a
The null hypothesis is
The alternative hypothesis is
b

c
The decision rule is
Reject the null hypothesis
d
The conclusion is
There is no sufficient evidence to conclude that the variance of the immune response is equal to 1.9.
Step-by-step explanation:
From the question we are are told that
The variance is
The sample size is n = 30
The sample variance is
The level of significance is
The null hypothesis is
The alternative hypothesis is
Generally the test statistics is mathematically represented as

=> 
=> 
Generally from the degree of freedom is mathematically represented as

=> 
=> 
Generally from the chi distribution table the critical value of
at a degree of freedom of
is

=> 
Gnerally from the values obtained we see that
hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is no sufficient evidence to conclude that the variance of the immune response is equal to 1.9.
Answer:
length = 60 cm
Step-by-step explanation:
ratio of width : length = 3 : 4 = 3x : 4x
perimeter = (2 × width ) + (2 × length) = 6x +8x = 14x
now perimeter = 210, hence
14x = 210 ( divide both sides by 14 )
x = 15
hence length = 4 × 15 = 60 cm
52 would be less, 918 inches converts to 76.5 feet.