Answer:
x = 4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2(8−12x)+8x=−25x+52
(2)(8)+(2)(−12x)+8x=−25x+52(Distribute)
16+−24x+8x=−25x+52
(−24x+8x)+(16)=−25x+52(Combine Like Terms)
−16x+16=−25x+52
−16x+16=−25x+52
Step 2: Add 25x to both sides.
−16x+16+25x=−25x+52+25x
9x+16=52
Step 3: Subtract 16 from both sides.
9x+16−16=52−16
9x=36
Step 4: Divide both sides by 9.
9x/9 = 36/9
x = 4
23 for 5=6
Step-by-step explanation:
Answer:
table:
.1, .25, .35, .2, .1
p(x=4) = .1
p(x<2) = .35
p(3≤x≤4)= .55
1.95, 1.12
Step-by-step explanation:
this is kind of hard to read, but i think i've got it
mean:
0*.1+1*.25+2*.35+3*.2+4*.1= 1.95
The second moment:
0²*.1+1²*.25+2²*.35+3²*.2+4²*.1= 5.05
the variance is the second moment minus the first moment squared (first moment is the mean) and then the standard deviation is the square root of the mean
5.05-1.95²= 1.2475 √1.2475= 1.1169 or 1.12
Answer:
0.375 litres
Step-by-step explanation:
Given that:
Total amount of lemonade held by pitcher = 3 litres
Number of people in which lemonade is to be given equally = 8
Amount of Lemonade received by each person will be:
Total amount of lemonade / number of persons
3 litres / 8
= 0.375 litres
Each person receives 0.375 litres of lemonade
Answer:
3: No
4: 25
Step-by-step explanation:
3: It won't because not everyone is the same height and there will be variation in the mean height.
4: A larger sample size will give a more accurate representation of the population, where as a sample size of 5 is much more likely to have a higher percentage of outliers, and each outlier matters much more in finding the mean. In a sample size of 25, each outlier matters much less.
