To find the midpoint, add x1 and x2 then divide by 2, then add y1 and y2 and divide by 2.
Midpoint = (2a +2b /2 , 0 + 2c /2)
Midpoint = a+b, c
7+5=12 so it can be one of these 8+4=12, 9+3=12, 10+2=12, and 11+1=12.
Answer: $12*0.05=$0.60. Then, add this amount to his current hourly rate. So he now makes $12.60.
The answer is: x = 7 - √53 or x = 7 + √53
The general quadratic equation is: ax² + bx + c =
0.
But, by completing the square we turn it into: a(x + d)² + e = 0, where:<span>
d = b/2a
e = c - b²/4a
Our quadratic equation is x² - 14x -4 = 0, which is
after rearrangement:
So, a = 1, b = -14, c = -4
Let's first calculate d and e:
d = b/2a = -14/2*1 = -14/2 = -7
e = c - b²/4a = -4 - (-14)</span>²/4*1 = -4 - 196/4 = -4 - 49 = -53<span>
By completing the square we have:
a(x + d)² + e = 0
1(x + (-7))</span>² + (-53) = 0
(x - 7)² - 53 = 0
(x - 7)² = 53
x - 7 = +/-√53
x = 7 +/- √53
Therefore, the solutions are:
x = 7 - √53
or
x = 7 + √53
Answer:
And using the probability mass function we got:
And adding the values we got:
The best answer would be:
D. 0.377
Step-by-step explanation:
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
For this case in order to pass he needs to answer at leat 6 questions and we can rewrite this:
And using the probability mass function we got:
And adding the values we got:
The best answer would be:
D. 0.377
