Answer:
A) Mean = 135 Variance = 62 Standard Deviation = 8
Step-by-step explanation:
Given that :
Proportion (p) = 54%
Sample size (n) = 250
Using Normal approximation :
Mean = np
Mean = 250 * 0.54 = 135
Variance = npq ; q = 1 - p = 1 - 0.54 = 0.46
Variance = (250 * 0.54 * 0.46) = 62.1 = 62
Standard deviation = √variance = √62.1
Standard deviation = 7.8803553 = 8
Answer: " y = 30° " .
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<u>Note</u>: The sum total of the measure of all angles lying on a straight
line is 180°.
So; x + y + z = 180 .
Given: x = 2y ;
z = 3y ;
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Find the value of: " y " ;
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Since: x + y + z = 180 ;
Substitute: "2y" for "x" ;
and: "3y" for "z" ;
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2y + y + 3y = 180 ;
6y = 180 ;
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Divide EACH SIDE of the equation by "6" ; to isolate "y" on one side of the equation; and to solve for "y" ;
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6y/ 6 = 180 / 6 ;
y = 30 ;
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Let us check our work;
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2y + y + 3y = 180 ;
Substitute our solved value: "30" ; for "y" ; in the equation; to see if the equation holds true:
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2(30) + 30 + 3(30) =? 180 ?
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60 + 30 + 90 = ? 180 ?
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90 + 90 = ? 180 ? Yes!
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-138 <span>≥ -6(6b - 7)
Start by multiplying everything within the parentheses by -6.
-138 </span><span>≥ -36b + 42
Now move the +42 to the other side, so you're left with -36b. (You do this by subtracting 4242)
-138 - 42 </span><span>≥ -36b
-180 </span>≥ -36b
Divide both sides by -36 to find the value of b.
-180 / -36 ≥ b
5 ≥ b.
The answer is b ≤ 5.
956
no restrictions right? it could be anything
