It Given the focus (h,k) and the directrix y=mx+b, the equation for a parabola is (y - mx - b)^2 / (m^2 +1) = (x - h)^2 + (y - k)^2.
Answer: 11
Step-by-step explanation:
Exponential Functions:
y=ab^x
y=ab
x
a=\text{starting value = }550
a=starting value = 550
r=\text{rate = }18.8\% = 0.188
r=rate = 18.8%=0.188
\text{Exponential Decay:}
Exponential Decay:
b=1-r=1-0.188=0.812
b=1−r=1−0.188=0.812
\text{Write Exponential Function:}
Write Exponential Function:
y=550(0.812)^x
y=550(0.812)
x
Put it all together
\text{Plug in y-value:}
Plug in y-value:
60=550(0.812)^x
60=550(0.812)
x
\frac{60}{550}=\frac{550(0.812)^x}{550}
550
60
=
550
550(0.812)
x
Divide both sides by 550
0.109091=0.812^x
0.109091=0.812
x
\log 0.109091=\log 0.812^x
log0.109091=log0.812
x
Take the log of both sides
\log 0.109091=x\log 0.812
log0.109091=xlog0.812
use power rule to bring x to the front
\frac{\log 0.109091}{\log 0.812}=\frac{x\log 0.812}{\log 0.812}
log0.812
log0.109091
=
log0.812
xlog0.812
Divide both sides by log(0.812)
10.638757=x
10.638757=x
x\approx 11
x≈11
Given:
total = 750
ratio = 7 : 8
We need to get the ratio of the number to its total
7 + 8 = 15 ; 7/15 and 8/15 is the ratio of the number to its total.
We multiply these ratio to the total of 750
7/15 * 750 = 350
8/15 * 750 = 400
7:8 is equal to 350:400
Answer:
Step-by-step explanation:
We know that normal distribution as special characteristics such as symmetry, unimodal, no skewness, mean =median=mode, etc
A standardized variable for normal variable X is
will be normal with mean =0 and sigma =1
The probability will be divided equally on either side of the mean =0 i.e. y axis
Hence the answers would be
A standardized variable always has a mean of __0_____ and a standard deviation of ___1____. b. The z-score corresponding to an observed value of a variable tells you ____the std normal score.___. c. A positive z-score indicates that the observation is __to the right ____ the mean, whereas a negative z-score indicates that the observation is __to the left_____ the mean
In standard form, this would be 626
