THE ANSWER TO X IS 14
1-3x+15
-3x=12/3=4
2-5x-45
+5=50/5=10
3-4+10=14
Answer:
Null hypothesis
Alternative hypothesis
t = - 2.05
Degree of freedom df = 14
P-value = 0.0298
Decision rule: To reject if significance level ∝ is greater than P-value.
Conclusion: We reject at the level of significance ∝ = 0.1, thus there is sufficient evidence to conclude that the machine is underfilling the bags.
Step-by-step explanation:
Given that:
Population mean = 443
Sample size n = 15
Sample mean = 434
standard deviation = 17
Level of significance ∝ = 0.01
The null and the alternative hypothesis can be computed as:
Null hypothesis
Alternative hypothesis
The t-test statistics can be computed as :
t = - 2.05
Degree of freedom df = n - 1
Degree of freedom df = 15 - 1
Degree of freedom df = 14
From t distribution table; from the area in the lower tail to the left of t = -2.05 and for the degree of freedom df = 14, it is given by 0.0298
Thus, P-value = 0.0298
Decision rule: To reject if significance level ∝ is greater than P-value.
Conclusion: We reject at the level of significance ∝ = 0.1, thus there is sufficient evidence to conclude that the machine is underfilling the bags.
So the length of the house is 15 so 15 x 2 or 15+15= 30. And the withht is 4 so 4 x 2 or 4+4= 8 so 30+8= 38
Answer:
19x = -38
x = -2
(-2,5)
Step-by-step explanation:
3(5x + 2y = 0)
2(2x - 3y = -19)
First step is to simplify the equations by using the distributive property.
3(5x + 2y = 0)
distribute the 3 by multiplying 3 by everything inside of the parenthesis
3 * 5x = 15x
3 * 2y = 6y
3 * 0 = 0
first equation simplified: 15x + 6y = 0
2(2x - 3y = -19)
distribute the 2 by multiplying 2 by everything inside of the parenthesis
2*2x = 4x
2 * -3y = -6y
2 * -19 = -38
second equation simplified: 4x - 6y = -38
We acquire the two equations
15x + 6y = 0
4x - 6y = -38
Notice how there are two 6ys, one is negative and the other is positive. When this happens we can add the two equations together and solve for x. We can do this because the two 6ys will cancel out and we will be left with one variable. when there is only 1 variable you can solve it.
So add the two equations
+ 15x + 6y = 0
4x - 6y = -38
--------------------
19x = -38
now solve for x
divide both sides by 19
19x/19 = -38/19
x = -2
Now we need to find the value of y.
To do so simply plug in the value of x into one of the equations and solve for y
4x - 6y = -38
x = -2
4(-2) - 6y = -38
multiply 4 and -2
-8 - 6y = -38
add 8 to both sides
-6y = -30
divide both sides by -6
y = 5
The solution to the system is (-2,5)
if you have 16 socks then you will have 8 pairs of 2.
16 / 2 = 8
answer is 8