Answer:
1,5,25,125,
all can be added or multiplied to equal 125
Answer:
a) 48.408
b) 1.235
Step-by-step explanation:
a)
The average hardness value xbar can be computed as
xbar=sum of values/number of values
xbar=(46.5+46.9+49.4+50.3+49.8+48.8+47+47.7+48.3+49.4+47.8+49)/12
xbar=580.9/12
xbar=48.408 (rounded to 3 decimal places).
The average hardness value is 48.408.
b)
The standard deviation hardness value s can be computed as
x x-xbar (x-xbar)
²
46.5 -1.90833 3.64174
46.9 -1.50833 2.27507
49.4 0.99167 0.98340
50.3 1.89167 3.57840
49.8 1.39167 1.93674
48.8 0.39167 0.15340
47.0 -1.40833 1.98340
47.7 -0.70833 0.50174
48.3 -0.10833 0.01174
49.4 0.99167 0.98340
47.8 -0.60833 0.37007
49.0 0.59167 0.35007
Total 16.7692
s=1.235 (rounded to 3 decimal places)
The standard deviation hardness value is 1.235.
Answer:14708
Step-by-step explanation:Exponential Functions:
y=abxy=ab^x this is not right not correct
y=ab
x
a=starting value = 13000a=\text{starting value = }13000
a=starting value = 13000
r=rate = 2.5%=0.025r=\text{rate = }2.5\% = 0.025
r=rate = 2.5%=0.025
Exponential Growth:\text{Exponential Growth:}
Exponential Growth:
b=1+r=1+0.025=1.025b=1+r=1+0.025=1.025
b=1+r=1+0.025=1.025
Write Exponential Function:
y=13000(1.025)xy=13000(1.025)^x
y=13000(1.025)
x
Put it all together
Plug in time for x:\text{Plug in time for x:}
Plug in time for x:
y=13000(1.025)5y=13000(1.025)^{5}
y=13000(1.025)
5
y=14708.30677y= 14708.30677
y=14708.30677
Evaluate
y≈14708y\approx 14708
y≈14708
Step-by-step explanation:
multiplication is the mathematical operation used with scale factor