Answer:
There is difference in the scores of males and females
Step-by-step explanation:
Given that a professor teaches a certain section of material using a lot of examples with sports and cars to illustrate. He is concerned that this may have biased his instruction to favor male students
Since simple variances are unequal, we can do t test for comparison of two means with unequal variances

Group Group One Group Two
Mean 84.00 78.00
SD 4.00 8.00
SEM 1.26 2.53
N 10 10
The mean of Group One minus Group Two equals 6.00
95% confidence interval of this difference: From 0.06 to 11.94
t = 2.1213
df = 18
standard error of difference = 2.828
The two-tailed P value equals 0.0480
Since p <0.05 we reject null hypothesis
There is difference in the scores of males and females
Answer: The correct option is (D) neither collinear nor co planar.
Step-by-step explanation: We are given to select the correct statement for the points R, S and T.
We know that
the points R, S and T will be co planar if they lie on the same plane
and
they will be collinear if they lie on the same straight line.
From the given figure we see that
the points R, S an T neither lie on the same straight line nor on the same plane.
Therefore, the points R, S and T are neither collinear nor coplanar.
Thus, option (D) is CORRECT.
Algebraic expresion: 56-2x
Answer:
Explanation:
The formula for calculating exponential growth is expressed as
P(x) = Po(1 + r)^x
where
A is the final amount after time t
Po is the initial amount
r is the growth rate
x is the time
In this case, the population is decreasing. The formula would be
P(x) = Po(1 - r)^x
From the information given,
Po = 1600
r = 13.9% = 13.9/100 = 0.139
Thus, the exponential decay model is
P(x) = 1600(1 - 0.139)^x
A = 1600(0.861)^x
In 7 years, the population would be
P(7) = 1600(0.861)^7
P(7) = 561
In 7 years, there would be 561 students