Answer:
The number is -6.
Step-by-step explanation:
Variable x = a number
Set up an equation:
3x + 12 = -6
Isolate variable x:
3x = -18
x = -6
Check your work:
3(-6) + 12 = -6
-18 + 12 = -6
-6 = -6
Correct!
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.
Answer: - 2 and 6
Step-by-step explanation:
<u>Answer</u>
y⁻¹ = ∛(4x+8)
<u>Explanation</u>
y=(1/4)x³ - 2.
To find the inverse of this equation, you first make x the subject of the formular.
y=(1/4)x³ - 2
Multiply both sides by 4;
4y = x³ - 8
Add 8 on both sides of the equation;
4y + 8 = x³
x³ = 4y + 8
Apply the cube root on both sides to get the value of x;
x = ∛(4y+8)
The inverse of y=(1/4)x³ - 2 is;
y⁻¹ = ∛(4x+8)
