Answer:
–3 and –3
Step-by-step explanation:
x² + 6x = – 9
Rearrange
x² + 6x + 9 = 0
Multiply the first term i.e x² and last term i.e 9 together. The result is 9x².
Next, we shall find two factors of 9x² such that when we add them together, the result will be the same as the 2nd term i.e 6x in the expression above.
The factors are 3x and 3x.
Next, we shall replace 6x with 3x and 3x in the equation above as shown below:
x² + 6x + 9 = 0
x² + 3x + 3x + 9 =0
Factorise
x(x + 3) + 3(x + 3) = 0
(x + 3)(x +3) = 0
x + 3 = 0 or x + 3 =
x = – 3 or x = – 3
Therefore, the solutions are –3 and –3
Multiply 9 by 2
18 = 4
Then subtract 4 from both sides
18 - 4 = 0 will become
14 = 0
Since 14 ≠ 0, there are no solutions
15.6 divided 11.7 the answer is the percent
Answer:
0.703
Step-by-step explanation:
By inspection this is a binomial probability distribution problem.
We are given;
Probability that the deer in a region carries a certain type of tick; p = 40% = 0.4
Sample size; n = 300
Now we want to find the probability that fewer than 124 deer have this tick.
Thus is at P(x ≤ 124)
Formula for binomial distribution problem is;
P(X = x) = C(n, x) × p^(x) × (1 - p)^(n - x)
But now in this question,
P(x ≤ 124) = P(0) + P(1) + P(2) +.... P(124)
Getting all the Probabilities from P(0) to P(124) is too long we will make use of an online binomial probability distribution calculator with the result attached as an image.
In the calculator we input n = 300; p = 0.4; and P(X ≤ x)
We have a value of 0.703
Answer:
The amount of the loan Mr. Tan borrowed was $ 287,000.
Step-by-step explanation:
Since Mr. Tan bought a house for $ 410,000, paying a deposit of 30% of its value and requesting a loan for the rest of its value, to determine the amount of the loan, the following calculation is required:
100 - 30 = 70
410,000 x 0.70 = X
287,000 = X
Therefore, the amount of the loan Mr. Tan borrowed was $ 287,000.