20 has been added to the total of scores, so the new mean for the 20 scores will be 20/20 = 1 higher than it was.
The new population mean is 15+1 = 16.
I got the answer right, I just took the test: (going from left to right)
Fish+Bird= 6
Bird+Not fish= 8
Total= 14
Fish+Not bird= 19
Not fish+Not bird= 22
Total= 41
(Now going down the column)
Fish total= 25
Not fish total= 30
Total+Total= 55
Step-by-step explanation:
well,
(y - 7)² = (y - 7)(y - 7)
remember how to multiply 2 expressions ?
you have to multiply every term of one expression with every term of the other expression and sum the results all up (incl. considering their individual signs, of course).
so, when we do the multiplication, we get
(y - 7)(y - 7) = y×y - 7×y - 7×y + (-7)×(-7) =
= y² - 14y + 49
and that is clearly different to y² - 49
FYI
y² - 49 is the result of
(y - 7)(y + 7)
because
y×y + 7×y - 7×y + (-7)(7) = y² - 49
The value of x is 8 when y = 12 if variables x and y have proportional relationship.
According to the given question.
Variables y and x have proportional relationship.
⇒ y ∝ x
Let k be the constant of proportionality.
⇒ y = kx
Also, it is given that
y = 21 when x = 14
Substitute the value of y = 21 and x = 14 in y = kx to find the value of k.
21 = k(14)
⇒ k = 21/14
⇒ k = 3/2
Therefore, the value of x when y = 12
y = kx
⇒ 12 = (3/2)x
⇒ 12 × 2 = 3x
⇒ 24 = 3x
⇒ x = 24/3
⇒ x = 8
Hence, the value of x is 8 when y = 12.
Find out more information about proportional relationship here:
brainly.com/question/12917806
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B x h = triangle area
triangle area= 160
height= 10
b x 10 (divide it by) 2= b
160 x 2 (divide it by) 10= b
32= b
the height of the this triangle is 32