N=8
x= -19
Let me know if you need to see how to solve it
Answer:
x² - x - 12 = (x - 4)(x - 3)
Step-by-step explanation:
We have the trinomial x² - x - 12.
We have to show two binomials to be factors of this above trinomial.
For this first we have to factorize the trinomial.
Now, x² - x - 12
= x² - 4x + 3x - 12
= x(x - 4) + 3(x - 4)
= (x - 4)(x - 3)
So the binomials are (x - 4) and (x - 3) that are factors of the trinomial x² - x - 12. (Answer)
Answer:
65 times 5.4 divided by 100
351/100
3.51
3.5
Answer:
a) 0.216
b) 0.1587
c) 0.369
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 12.2 grams
Standard Deviation, σ = 2.8 grams
We are given that the distribution of weights of impurities per bag is a bell shaped distribution that is a normal distribution.
Formula:
a) P(contains less than 10 grams of impurities)
P(x < 10)
Calculation the value from standard normal z table, we have,

b) P(contains more than 15 grams of impurities)
P(x > 15)
Calculation the value from standard normal z table, we have,

c) P(contains between 12 and 15 grams of impurities)

d) The mean divide the data in exactly two parts. Since 15 is farther away from the mean as compared to 10, the probability obtained in part (b) is smaller as compared to probability obtained in part (a).
You first need to multiply the whole second equation by to. So, your two equations would then be -8x + 5y = -9 and 8x + 6y = -46. You then add the two equations to get 11y = -55. This would mean you get y = -5. Then you substitute -5 for y in the first equation. This would mean it would be -8x -25 = -9. Then you add 25 to both sides to get -8x = 16. Then you divide both sides by -8 to get x = -2.