4 + d = 11
-4 -4
d = 7
Hope this helps!
X^2 - 6x + 40 = x + 5
Solution for quadratic equation
Subtract 40 from both sides.
x^2 - 6x + 40 - 40 = x + 5 - 40
= x^2 - 6x = x - 35
Subtract x from both sides.
x^2 - 6x - x = x - 35 - x
= x^2 - 7x = -35
Rewrite the equation in the form
(x + a)^2 = b
(x - 7/2)^2 = - 91/4
Answer
x = 7/2 + sqroot 91/2,
x = 7/2 - sqroot 91/2
Solution to simplify
Group like terms
x^2 - 6x + 40 = x + 5
x^2 - 6x - x = 5 - 40
x^2 - 7 = -35
Using the binomial distribution, the probabilities are given as follows:
a. 0.2637 = 26.37%.
b. 0.8965 = 89.65%.
c. 0.0148 = 1.48%.
<h3>What is the binomial distribution formula?</h3>
The formula is:
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
The values of the parameters for this problem are:
n = 5, p = 0.25.
Item a:
The probability is P(X = 2), hence:
Item b:
The probability is:
In which:
Then:
Item c:
The probability is:
In which:
Then:
More can be learned about the binomial distribution at brainly.com/question/24863377
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A = 1/2 bh can be written as
A = bh/2.
2A = (bh/2)(2)
2A = bh
Divide both sides by h to find b.
2A/h = b
Done.
Answer:
Step-by-step explanation:
Given the following expression:
And knowing that:
We get:
Move the 3 to the left side of the equation:
Apply the Quadratic formula:
In this case:
Substituting values into the Quadratic formula, we get: