According to the normal distribution curve:
<span>"the percent of women whose heights are between 64 and 69.5 inches"</span> represents the values within 2 standard deviation ,,,
And that value is 95% of the whole data
Start by writing the system down, I will use 
to represent 
Substitute the fact that 
into the first equation to get,
Simplify into a quadratic form (
),
Now you can use Vieta's rule which states that any quadratic equation can be written in the following form,
which then must factor into
And the solutions will be 
.
Clearly for small coefficients like ours 
, this is very easy to figure out. To get 5 and 6 we simply say that 
.
This fits the definition as 
and 
.
So as mentioned, solutions will equal to but these are just x-values in the solution pairs of a form 
.
To get y-values we must substitute 3 for x in the original equation and then also 2 for x in the original equation. Luckily we already know that substituting either of the two numbers yields a zero.
So the solution pairs are 
and 
.
Hope this helps :)
98 days = (98 ⁄ 7) weeks = 14 weeks
<span>Po = initial population = 5 </span>
<span>Ƭ = doubling time in weeks </span>
<span>t = elapsed time in weeks </span>
<span>P{t} = population after "t" weeks </span>
<span> P{t} = (Po)•2^(t ⁄ Ƭ) </span>
<span> P{t} = (Po)•2^(t ⁄ 4) </span>
<span> P{t} = 5•2^(t ⁄ 4) </span>
<span> P{14} = (5)•2^(14 ⁄ 4) … t = 14 weeks = 98 days </span>
<span> P{14} = 56 … population after 14 weeks</span>
Answer:
Total interest you will pay is $103.07.
The total you will pay for interest and loan amount is $749.07
iStep-by-step explanation:
Answer:
x=3 e y=4
Step-by-step explanation:
x/2=6/y=27/18
...
x/2=27/18
18.x=2.(27)
18x=54
x=54/18
x= 3
...
6/y=27/18
27y=6.(18)
27y=108
y=108/27
y=4
