Answer:
75,62.5
Step-by-step explanation:
Given that Mr. Dennis gave his class a 20-question multiple choice quiz. The distribution of raw scores had a mean of 15 and a standard deviation of 2.5
If X is the correct questions in the 20 mcq then
X is with mean = 15 and std dev = 2.5
when score is multiplied by 5
random variable now is
Y = 5x
E(Y) = Mean of Y = 
Thus new score out of 100 would have mean = 75 and std deviation = 62.5
Answer:
3x - y + 7 = 0
Step-by-step explanation:
The given point is , ( -4 , -5) and the slope is 3. The point slope form is ,
=> y - y₁ = m( x - x₁)
=> y - (-5) = 3 { x - (-4) }
=> y +5 = 3( x + 4 )
=> y + 5 = 3x + 12
=> 3x - y + 12 - 5 = 0
=> 3x - y +7 = 0
<h3>
<u>Hence</u><u> the</u><u> </u><u>equation</u><u> of</u><u> the</u><u> line</u><u> is</u><u> </u><u>3x</u><u> </u><u>-</u><u> </u><u>y </u><u>+</u><u> </u><u>7</u><u> </u><u>=</u><u> </u><u>0</u><u> </u><u>.</u></h3>
Answer:
1 = - 4 - 14 √3
2 = 9 - 11 √3
Step-by-step explanation:
Question 1
(-4√3 + 2)(√3 + 4)
Apply FOIL method
= (-4√3) √3 + (-4√3) . 4 + 2 √3 + 2 . 4
Apply minus-plus rules: + (-a) = -a
= -4 √3 √3 - 4 . 4 √3 + 2 √3 + 2 . 4
Simplify
= - 4 - 14 √3
Question 2
(-3 + √3)(1 + 4 √3)
Apply FOIL method
= (-3) . 1 + (-3) . 4 √3 + √3 . 1 + √3 . 4 √3
Apply minus-plus rules: + (-a) = -a
= -3 . 1 - 3 . 4 √3 + 1 . √3 + 4 √3 √3
Simplify
= 9 - 11 √3
Answer:
12(x+2)
Step-by-step explanation:
Factor a 12 out of
12x + 24
12 goes into 12 once
12 goes into 24 twice
= 12(x+2)
