Answer:
Step-by-step explanation:
First we put our equation into slope intercept form by subtracting 6x from both sides and then dividing by 7.
6x + 7y = 13 -->
The line is parallel which means they both have the same slope.
Now we need to find b. this is where the given point comes in. We can find b by substituting -3 for x and -8 for y.
Then we multiply and give the numbers a common denominator so it is easier to manipulate. Remember that a negative times a negative is a positive.
Now we subtract from both sides so that the equation equals b
Finally we but b back into the equation
Answer:
Acute Triangle
Step-by-step explanation:
All angles are less than 90 degrees.
Answer:
Step-by-step explanation:
we know that
In the right triangle ABC of the figure
Applying the Pythagoras Theorem
substitute the given values
Solve for c
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.