Answer:
76
Step-by-step explanation:
recall that for a quadratic equation in the form
ax² + bx + c = 0, the discriminant is given by
discriminant, D = b²- 4ac
we are given the following:
-6x² + 2x + 3 = 0,
comparing this with the general equation above, it is clear that,
a = -6, b = 2 and c = 3,
substituting these into our equation for discriminant:
D = b²- 4ac
= 2² - 4(-6)(3)
= 4 + 72
= 76
Answer:
The given fraction 
reduces to 
Step-by-step explanation:
Consider the given fraction
We have to reduce the fraction to the lowest terms.
Consider numerator 
We can take x² common from both the term,
Thus, numerator can be written as 
Given expression can be rewritten as ,
We can now cancel 
from both numerator and denominator,
Thus, the given fraction reduces to
Answer:
the answer is (B) this is an example of Simpson paradox.
Step-by-step explanation:
Simpson's paradox is a phenomenon in probability and statistics, in which a trend appears in several different groups of data but disappears or reverses when these groups are combined.
So if in 2 hours you drove 80 miles the in 1 hour you have to have driven 40 miles (80m/2h)
so you have to divide the 1200 miles by the 40mph to find out how many hours the trip will take (1200m/40mph=30h)
Answer:
There is significant evidence that treatment will create effect on the subject. Hence We reject H0
Step-by-step explanation:
H0 : μ = 37
H1 : μ ≠ 37
μ = 37 ; σ = 7 ; sample size, x = 51 ; sample size, n = 1
Decision region :
If P value < α ;
Reject H0
Using the Z test statistic :
Zstatistic = (x - μ) ÷ (σ / √n)
Zstatistic = (51 - 37) ÷ (7 / 1)
Zstatistic = 14 ÷ 7
Zstatistic = 2
Obtaining p value from Zstatistic using the p value calculator ;
Zscore = 2 ; 2-tailed test, significance level = 0.05
P value = 0.0455
Zcritical at α = 0.05 for a 2 - tailed test = 1.96
0.0455 < 0.05
There is significant evidence that treatment will create effect on the subject. Hence We reject H0
