area = x^2 - 4x + 3
...................................
Answer: x=5
Step-by-step explanation:
0 x 5= 0
1 x 5= 5
2 x 5= 10
3 x 5= 15
Answer:
$362.5
Step-by-step explanation:
Given that :
x : _____ 230 ______340 ______ 590
P(x): ____0.25______0.55 _____ 0.20
To obtain the expected value E(x) of the outcome ; we can use the formula :
E(x) = Σ(x * P(x))
E(x) = (230 * 0.25) + (340 * 0.55) + (590 * 0.20)
E(x) = 57.50 + 187 + 118
E(x) = 362.50
Answer:
D. 1.2
Step-by-step explanation:
The sum of an arithmetic sequence is the product of the average term value and the number of terms.
The average term is often computed by averaging the first and last terms of the sequence. It can also be computed by averaging the middle two terms of the sequence (when there are an even number of terms, as here).
We are given a_13 is 1.9. We know that a_12 is 3.7 less, so is -1.8. Then the average of these two middle terms is ...
... (-1.8 + 1.9)/2 = 0.05
The product of this value and the number of terms (24) is ...
... 24·0.05 = 1.2 . . . . . the sum of 24 terms of the sequence
Answer:
(x - 5)² = 1
Step-by-step explanation:
x² - 10x + 24 = 0
look for a number that can be added to give -10 and be multiplied to give 24 which is -6 and -4,
i.e -6 + (-4) = - 6 - 4 = -10
(-6) × (-4) = 24
x² - 6x - 4x + 24 = 0
factorize
x(x - 6) -4(x - 6) =0
(x - 4)(x - 6) = 0
(x - 4) = 0
x = 4
x
(x - 6) = 0
x = 6
(x - 5)² = 1
take root of both sides
√(x - 5) = √1
x - 5 = 1
x = 1 + 5 = 6