Answer:
2424.5
904.16
Step-by-step explanation:
the mean = ∑frequency /n
∑f = 5+17+36+115+125+81+47+45+22+7 = 500
∑xf = 1212250
∑x²f = 3347037625
sample mean = 1212250/500
= 2424.5
variance = 1/500-1[3347037625 - 1212250²]
= 815710.02
standard deviation is = √variance
standard deviation = √815710.02
= 904.16
Simplify the equation to find X:
7/8 (-32 - 48x) +36 = 2/3( - 33x - 18) - 10x
Distribute the terms in parentheses:
-28 - 42x + 36 = -22x - 12 - 10x
Collect like terms
-42x + 8 = -32x - 12
Add 32x to both sides, and subtract 8 from both sides:
-10x = - 20
Divide both sides by -10
x = 2
Answer:
66.00
Step-by-step explanation:
Convert 10% to a decimal by moving the point from 10. to 0.10 (back two places) and multiply it by 50 which gives you $5, which equals the tax they payed. Now they want to tip 20% of the entire bill including tax, so convert 20% to a decimal 20. to 0.20. Now multiply .20 * 55(55 is the $50 payed in meals and the $5 payed in taxes added) And you get $11 for the tip. Add 55 +11 and there's your answer
To convert a percentage to a decimal we divide it by 100. So, 5% = .05
To find the tax, multiply the cost by the tax rate
(.05)(11.20) = 0.56
Add this to the cost to get the total
$11.20 + $0.56 = $11.76
Yes the additive inverse in postive,because the opposite of negative is postive and the opposite of subtraction is addition