Since x dollars is the total monthly sales Paul makes when his sales exceed 20,000 dollars, then the function f(x) should add x dollars and $20,000. The answer is B. x+20,000.
Assuming that x dollars is still the sales after gaining $20,000, then 15 percent of x is modeled by B. 0.15x.
The answer to that problem is -5
Answer:
Step-by-step explanation:
The concept of variance in random variable is applied in solving for the value of c for the estimator cW1 + (1 − c)W2 to be most efficient. Appropriate differentiation of the estimator with respect to c will give the value of c when the result is at minimum.
The detailed analysis and step by step approach is as shown in the attachment.
Answer:
3/20
Step-by-step explanation:
The total number of marbles is
3 red marbles+ 2 blue marbles+ 5 green marbles = 10 marbles
P(1st marble is red) = red marbles/total
=3/10
We replace the marble so there are still 10 marbles in the bag
P(2nd marble is green) = green marbles/total
=5/10 = 1/2
P(1st red, 2nd green) = P(1st marble is red) * P(2nd marble is green)
=3/10 *1/2
=3/20
Angle-5 and angle-7 are 'vertical angles', so they're equal,
and we can write ...
<u>10x- 9 = 9x</u>
Subtract 9x from each side: x - 9 = 0
Add 9 to each side: <u> x = 9</u>
Now that we know what 'x' is, we can find the size of Angles-5 and -7 .
Angle-7 = 9x = 81° .
Now look at Angle-6 ... the one that's the answer to the problem.
Angle-6 and -7 together make a straight line, so they must
add up to 180°.
<u>Angle-6 + 81° = 180°</u>
Subtract 81° from each side: Angle-6 = <em>99° .</em>
