Answer:
x = -0.2 and x = -3.5
Step-by-step explanation:
Combine like terms in the given equation, by subtracting 2x^2 from both sides:
6x^2 + 15x + 3 = 2x^2
-2x^2 = -2x^2
----------------------------------
4x^2 + 15x + 3 = 0
This is a quadratic equation. We'll find the two solutions using the quadratic equation
-b ± √(b^2 - 4ac)
x = ---------------------------
2a
Here the coefficients of the quadratic are a = 4, b = 15 and c = 3.
Thus, the discriminant b^2 - 4ac is 15^2 - 4(4)(3), or +177
and from that we know we'll find two real, unequal roots.
-15 ± √177
The roots are: x = ------------------- , or x = -0.2 and x = -3.5
8
Answer:
steps attached below
Step-by-step explanation:
Answer: 305 bags of chips were sold
Step-by-step explanation:
The probability of getting a total of 12 is 1/36
Further explanation:
When two fair-dices are rolled, and the total outcomes are 36.
Which means that our sample space has 36 elements
Let A be the event that the sum of both dice are 12
Only one outcome from the sample space sums up to 12
A = {(6,6)}
So,
=1/36
The probability of getting a total of 12 is 1/36
Keywords: Theoretical probability, Dice probability
Learn more about probability at:
#LearnwithBrainly
Answer:
We can conclude that there is significant evidence that the drug improves short term memory.
Step-by-step explanation:
Given the sample data : 8, 9, 10, 6, 8, 7, 9, 7.
The sample mean, xbar = Σx / n
Sample standard deviation :
√Σ(x - xbar)²/ n-1)
Xbar = 8
Sample size, n = 8
Standard deviation, s = 1.31
H0 : μ = 6
H0 : μ > 6
The test statistic :
(xbar - μ) ÷ (s/√(n))
(8 - 6) / (1.31 / √8)
2 /0.4631549
Test statistic = 4.318
Decision region :
Reject H0 ; if Pvalue < α
α = 0.05
Pvalue from Tscore calculator :
df = n - 1 ; 8 - 1 =7
Pvalue(4.318, 7) = 0.001744
Pvalue < α ; We reject H0 ; and conclude that there is significant evidence that the drug improves short term memory.
