Answer:
Give
null hypothesis: H0 = 5.5
alternative hypothesis: Ha different 5.5
standard error = 1 / (31) 1/2= 0.1796
we deduce that:
t stat = (5.2-5.5) /0.1796 = -1.67033
p-value = 0.105
the null hypothesis cannot be rejected because the value of p is greater
We will transform the equation to the vertex form:
y = x² + 8 x + 12 = x² + 8 x + 16 - 16 + 12 =
= ( x + 4 )² - 4
Vertex form is: y = a ( x - k )² + h
Vertex coordinates are: ( - 4, - 4 ).
Answer:
x = 30
Step-by-step explanation:
The diagonals are bisected so DE =EB
67 = 2x+7
Subtract 7
67-7 = 2x+7-7
60 =2x
Divide by 2
60/2 =2x/2
30 = x
Essentially this means for every 5 people there are three boys. Therefore since 40/5 = 8 it would mean there are 8 groups of 5. Then that would mean 3 for every group therefore 8x3=24 boys.
