Answer:
x=+30
Step-by-step explanation:
1200-5(3x+30)=600
We move all terms to the left:
1200-5(3x+30)-(600)=0
We add all the numbers together, and all the variables
-5(3x+30)+600=0
We multiply parentheses
-15x-150+600=0
We add all the numbers together, and all the variables
-15x+450=0
We move all terms containing x to the left, all other terms to the right
-15x=-450
x=-450/-15
x=+30
Answer: z(e) = 2.07
Step-by-step explanation:
1.-The problem is about a test of proportions. As research company claims than no more 55 % of Americans regularly watch Fox News
The null hypothesis is H₀ P₀ ≤ 0.55 from 55%
And the alternative hypothesis is Hₐ Pₐ > .55
Is one tail test
2.-We have to specify significance level we assume our test will be for a significance level α = 5% or α = 0,05
3.-Calculation of z (c) = ?? and z (e) = '??
For z (c) we find in z table the value of z(c) = 1.64
For z (e) = ( P -P₀)/√p₀q₀/n z(e) = 0.05 / √(0.55*0,45)/425 z(e) = 0,05/ 0.02413 z(e) = 2.07
z(e) > z(c) threfore z(e) is in the rejection zone . We reject null hyothesis
Answer:
Step-by-step explanation:
This is a hypothesis testing of single mean with population mean.
![H_0: x bar =423\\H_a: x bar >423](https://tex.z-dn.net/?f=H_0%3A%20x%20bar%20%3D423%5C%5CH_a%3A%20x%20bar%20%3E423)
(One tailed test)
Sample mean = 460.4 and n = 36 and s = 101.9 oz
Alpha = 0.05
Mean diff = 37.4 and std error = 101.9/sqrt 36 = 16.98
Test statistic t = mean diff/se = 2.20
p = 0.01725
Since p <0.05 reject H0.
There is evidence to show that the consumption of Coca-Cola beverages is higher in Atlanta, Georgia, the location of Coca-Cola's corporate headquarters
The values of x in the equation 1/3 * |x - 3| + 4 = 10 are x = 21 and x = -15
<h3>How to solve for x in the equation?</h3>
The equation statement is given as:
one third times the absolute value of the quantity x minus 3 end quantity plus 4 equals 10
Rewrite the equation as follows:
1/3 * |x - 3| + 4 = 10
Subtract 4 from both sides of the equation
1/3 * |x - 3| = 6
Multiply both sides of the equation by 3
|x - 3| = 18
Expand the equation
x - 3 = 18 and 3 - x = 18
Solve for x in both equations
x = 21 and x = -15
Hence, the values of x in the equation 1/3 * |x - 3| + 4 = 10 are x = 21 and x = -15
Read more about equations at:
brainly.com/question/2972832
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