Let
A------> <span>(5√2,2√3)
B------> </span><span>(√2,2√3)
we know that
</span>the abscissa<span> and the ordinate are respectively the first and second coordinate of a point in a coordinate system</span>
the abscissa is the coordinate x<span>
step 1
find the midpoint
ABx------> midpoint AB in the coordinate x
</span>ABy------> midpoint AB in the coordinate y
<span>
ABx=[5</span>√2+√2]/2------> 6√2/2-----> 3√2
ABy=[2√3+2√3]/2------> 4√3/2-----> 2√3
the midpoint AB is (3√2,2√3)
the answer isthe abscissa of the midpoint of the line segment is 3√2
see the attached figure
Answer:
Step-by-step explanation:
Given that:
population mean = 25
sample size = 50
sample mean = 24.02
standard deviation = 4.75
The null and alternative hypothesis can be computed as follows:
Null hypothesis:

Alternative hypothesis:

b. Yes, the necessary assumptions to perform the inference are satisfied because the sample size is large and as a result, the data approximately follows a normal distribution.
c. To determine the P-value, we need to Find the t-test statistics which can be expressed by the formula:



t = - 1.458
The degree of freedom df = n- 1 = 50 - 1 = 49
The p -value = P(T < -1.458)
p -value = 0.0756
d. The p-value is the probability of finding the observed value when null hypothesis is true.
e.
Decision rule: To reject the null hypothesis if the level of significance at 0.05 is greater than the p-value.
Conclusion: We fail to reject the null hypothesis because the p-value is greater than the level of significance, hence, there is no sufficient evidence to conclude that the company has failed to meet its goal.
Answer:
(7, -6)
Step-by-step explanation:
You will graph it at this point because the point is basically the origin and when you rotate it clockwise 90° it will end up in Quadrant IV.