Answer:
6
Step-by-step explanation:
-Under point reflections, figures sizes and shapes remains unchanged.
-The dimensions of JL=
=8:
#We therefore equate to solve for x:

Hence, the measure of x is 6.
Answer:
Step-by-step explanation:
From the given information:
The null hypothesis and the alternative hypothesis can be computed as:
(i.e. there is no difference between the SAT score for students in both locations)
(i.e. there is a difference between the SAT score for students in both locations)
The test statistics using the students' t-test for the two-samples; we have:






t = 2.06
degree of freedom = (
) -2
degree of freedom = (45+38) -2
degree of freedom = 81
Using the level of significance of 0.05
Since the test is two-tailed at the degree of freedom 81 and t = 2.06
The p-value = 0.0426
Decision rule: To reject
if the p-value is less than the significance level
Conclusion: We reject the
, thus, there is no sufficient evidence to conclude that there is a significant difference between the SAT math score for students in Pennsylvania and Ohio.
Y=9-x is slope-intercept form of that line, which means it has a slope of -1. Parallel lines have the same slope, so the slope of this new line will also be -1.
To find the line that goes through (5,1), we can use a blank equation y=mx+b. We know that m=-1, so we can use the given point to find b:
y=mx+b
Y=-x+b
1=-5+b
6=b
So the line would be y=-x+6.
Answer:
14/81
Step-by-step explanation:
The probability of getting a green is number of green sections ÷ total number of sections = 2/4+3+2 = 2/9
Probability of not getting a green is = 1 - probability of getting a green = 1 - 2/9 = 7/9
Now we calculate the probability of not getting 2 consecutive greens. I.e probability of getting a green the first time and not getting it the second time= (2/9 × 7/9) = 14/81
Answer:
14/63
Step-by-step explanation:
(2*7) / (9*7) = 14/63