Answer:
e. reject the null hypothesis the p value is less than 0.05. therefore the difference is significant.
Step-by-step explanation:
given that after comparing response times between the audio and picture portions of the MIT test, the t-test resulted in a t-value of 2.97.
test statistic t = 2.97
Sample size n =250
Critical value of t at 95% is 1.96
We find that test statistic absolute value is greater than 1.96
So p value would be less than 0.05
This implies that null hypothesis stands in the rejected region.
So reject null hypothesis would be correct conclusion. Sample size cannot be said to be small as more than 30 itself is a good sample size.
e. reject the null hypothesis the p value is less than 0.05. therefore the difference is significant.
Simplifying
25x + -15 = 2y
Reorder the terms:
-15 + 25x = 2y
Solving
-15 + 25x = 2y
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '15' to each side of the equation.
-15 + 15 + 25x = 15 + 2y
Combine like terms: -15 + 15 = 0
0 + 25x = 15 + 2y
25x = 15 + 2y
Divide each side by '25'.
x = 0.6 + 0.08y
Simplifying
x = 0.6 + 0.08y
<span>All three sides of triangle X'Y'Z' must be parallel to the corresponding sides in triangle XYZ and the corresponding angles are congruent .
The dilated triangle will be similar to the original triangle, which means all angles will be the same.
</span><span>The sides of the two triangles will also be parallel. You can test this by observing the slopes:
Line XY has a slope of 2/3, moving from -4,2 and passing through -1,4.
Line X'Y' has the same slope, moving from (-6,3) to (-3,5)
You can see that this is the case for all corresponding sides' slopes. </span>
