Answer: x=6
Step-by-step explanation:
Let's solve your equation step-by-step.
4+3(2x−4)=28
Step 1: Simplify both sides of the equation.
4+3(2x−4)=28
4+(3)(2x)+(3)(−4)=28(Distribute)
4+6x+−12=28
(6x)+(4+−12)=28(Combine Like Terms)
6x+−8=28
6x−8=28
Step 2: Add 8 to both sides.
6x−8+8=28+8
6x=36
Step 3: Divide both sides by 6.
6x
6
=
36
6
At 13% significance level, there isn't enough evidence to prove the administrators to claim that the mean score for the state's eighth graders on this exam is more than 280.
<h3>How to state hypothesis conclusion?</h3>
We are given;
Sample size; n = 78
population standard deviation σ = 37
Sample Mean; x' = 280
Population mean; μ = 287
The school administrator declares that mean score is more (bigger than) 280. Thus, the hypotheses is stated as;
Null hypothesis; H₀: μ > 280
Alternative hypothesis; Hₐ: μ < 280
This is a one tail test with significance level of α = 0.13
From online tables, the critical value at α = 0.13 is z(c) = -1.13
b) Formula for the test statistic is;
z = (x- μ)/(σ/√n)
z = ((280 - 287) *√78 )/37
z = -1.67
c) From online p-value from z-score calculator, we have;
P[ z > 280 ] = 0.048
d) The value for z = -1.67 is smaller than the critical value mentioned in problem statement z(c) = - 1.13 , the z(s) is in the rejection zone. Therefore we reject H₀
e) We conclude that at 13% significance level, there isn't enough evidence to prove the administrators to claim that the mean score for the state's eighth graders on this exam is more than 280.
Read more about Hypothesis Conclusion at; brainly.com/question/15980493
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Answer:
10 miles per hour
Step-by-step explanation:
speed= distance/time
30/3
=10
2x - 2y = -4
-3x -3y = 0
_____________________
-1x - 5y = -4
For the units positions of all numbers we have:
From this we can conclude that total sum of these three numbers is 14. Number 1 we carry to next step. So we have:
For the tens positions of all numbers we have:
The extra number 1 on left side comes from the carry from last step. Similar to ones position we know that total sum is 11.
Now we insert x and z to find out y:
Now we need to find out the product of these three numbers:
