Answer:
4m
Step-by-step explanation:
The point-slope form:

We have the point (-3, -1) and the slope m = 3/5. Substitute:

Answer:
point-slope form: y + 1 = 3/5(x + 3)
slope-intercept form: y = 3/5x + 4/5
standard form: 3x - 5y = -4
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
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Answer:
$3,000 was invested in the account that gained 13%
$17,500 was invested in the account that lost 10%
Step-by-step explanation:
Let the amount in both accounts be x and y
x for the first and y for the second
Adding both is 20,500
x + y = 20,500 •••••(i)
First account earned 13% profit
= 13/100 * x = 0.13x
Second account, a loss of 10%
= -10/100 * y = -0.1y
Total loss of -1,360
This is;
-0.1y + 0.13x = -1,360 •••••••(ii)
From i, x = 20,500-y
Insert this into ii
-0.1y + 0.13(20,500-y) = -1,360
-0.1y + 2665 -0.13y = -1360
-0.23y = -1360-2665
-0.23y = -4025
y = -4025/-0.23
y = 17,500
To get x, we have
x = 20,500 -y
x = 20,500- 17,500
x = 3,000