Answer:
The probability that the stock will sell for $85 or less in a year's time is 0.10.
Step-by-step explanation:
Let <em>X</em> = stock's price during the next year.
The random variable <em>X</em> follows a normal distribution with mean, <em>μ</em> = $100 + $10 = $110 and standard deviation, <em>σ</em> = $20.
To compute the probability of a normally distributed random variable we first need to compute the <em>z</em>-score for the given value of the random variable.
The formula to compute the <em>z</em>-score is:
Compute the probability that the stock will sell for $85 or less in a year's time as follows:
Apply continuity correction:
P (X ≤ 85) = P (X < 85 - 0.50)
= P (X < 84.50)
*Use a <em>z</em>-table for the probability.
Thus, the probability that the stock will sell for $85 or less in a year's time is 0.10.
3/4x+5/6=5x-125/3
3/4x+5/6-5/6=5x-125/3-5/6
4/3x=5x-85/2
4/3x-5x=5x-5x-85/2
-17/4x=-85/2
(-4*-17/4x)=(-85/2*-4)
17x=170
x=170/17
x=10
Answer:
yes
Step-by-step explanation:
yessssssssss
Given that Phil traveled with his family by car. They started their trip from Lexington to Louisville, driving directly west for 60 miles.
So AB=60
They then turned North, driving to Indianapolis which is 100 miles from Lexington.
So AC=100
Then, they turned to the West again, and drove to Decatur which which is 170 straight miles from Louisville.
so BD=170
Now we have to find about how many miles did they cover in total driving from Lexington to Decatur.
That means we have to find length of (AB+BC+CD)
We can use Pythogorean theorem to find the values of BC and CD.
then (AB+BC+CD)=60+80+150= 290
Hence final answer is miles.
Answer:
<em>4(y+2) = 3(x+4) and 4y - 3x = 4</em>
Step-by-step explanation:
The equation of the line in point slope form is expressed as;
y - y0 = m(x-x0)
m is the slope
(x0, y0) is the point on the line
Given the equation 3x - 4y = 7
Rewrite in slope intercept form
-4y = -3x+7
y = 3/4 x - 7/4
Slope = 3/4
Slope of the required line will also be 3/4 since they are parallel lines
Substitute the slope and the point into the equation above;
y - y0 = m(x-x0)
y +2 = 3/4 (x+4)
4(y+2) = 3(x+4)
4y + 8 = 3x+12
4y - 3x = 12-8
4y - 3x = 4
<em>Hence the required equations are 4(y+2) = 3(x+4) and 4y - 3x = 4</em>
