Answer:
1. d. Two sided t-test
2. b. 0.000193
3. a. Since p- value is very small we can conclude that the more soda the student drink the heavier they get.
4. c. Test in inconclusive; thus we cannot claim that there is a correlation between drinking soda and weight.
Step-by-step explanation:
The hypothesis testing is used to test the claim against the alternative hypothesis. The p value is determined in order to conclude the result for the test as whether to accept or reject the null hypothesis. The null hypothesis can be accepted when the p value is greater than the critical value of the t-test.
For this case we have the following equation:
h = -16t ^ (2) + 30t + 6
We substitute the value of h = 10 in the equation:
10 = -16t ^ (2) + 30t + 6
Rewriting we have:
0 = -16t ^ (2) + 30t + 6-10
0 = - 16t ^ (2) + 30t - 4
We look for the roots of the polynomial:
t1 = 0.144463904
t2 = 1.730536096
"the ball passes its maximum height, it comes down and then goes into the hoop". Therefore, the correct root is:
t = 1.730536096
Answer:
It goes into the hoop after:
t = 1.73 seconds
Answer:
x = 3
Step-by-step explanation:
Since all 3 sides of the triangle are congruent then the triangle is equilateral
The 3 angles are congruent and equal to 60°, thus
25x - 15 = 60 ( add 15 to both sides )
25x = 75 ( divide both sides by 25 )
x = 3
Answer:
Yes, they are parallel
Step-by-step explanation:
You can rewrite the second equation in slope intercept form to get your answer.
x-2y-8=0
-2y=-x+8
y=1/2x-4
Since the slope of this line is the same as that of the first, they are parallel. Hope this helps!
Answer:
£9.50
Step-by-step explanation:
× 100 = 10
× 20 = 10
= 
= 
2x = 19
x = 9.5
