Answer:
One example is the equation:
2x + 6 = 4x/2 + 12/2
To solve this, we need to transpose like terms to the same side.
2x - 4x/2 = 12/2 - 6
2x - 2x = 6 - 6
0 = 0
Since both sides are zero, it means that the equation has infinite number of solutions.
Step-by-step explanation:
Answer:
H0: The distribution of players featured on the cards is 0.30 rookies, 0.60 veterans, and 0.10 All-Stars.
Ha: At least one of the proportions in the null hypothesis is false.
Step-by-step explanation:
On this case we need to apply a Chi squared goodness of fit test, and the correct system of hypothesis would be:
H0: The distribution of players featured on the cards is 0.30 rookies, 0.60 veterans, and 0.10 All-Stars.
Ha: At least one of the proportions in the null hypothesis is false.
And in order to test it we need to have observed and expected values. On this case we can calculate the Expected values like this



The observed values are not provided. The statistic on this case is given by:

And this statistic follows a chi square distribution with k-1 degrees of freedom on this case k=3, since we have 3 groups.
We can calculate the p valu like this:

And if the p value it's higher than the significance level we FAIL to reject the null hypothesis. In other case we reject the null hypothesis.
12 oz box o rice divided by 1.93 = 16 cents per oz
6 oz box o rice divided by .90 = 15 cents per oz
9 oz box o rice divided by 1.25 = 13 cents per oz.
The third option is the most cheapest.
Hope this helps!!!
Answer:
Step-by-step explanation:
Mean = np
Where
n = number of students
p = probability of success
n = 200
p = 118/200 = 0.59
mean = 200 × 0.59 = 118
Standard deviation, s = √npq
q = 1 - p = 1 - 0.59
q = 0.41
s = √(200 × 0.59 × 0.41)
s = √48.38 = 6.956
For a confidence level of 99%, the corresponding z value is 2.58. This is determined from the normal distribution table.
We will apply the formula
Confidence interval
= mean ± z ×standard deviation/√n
It becomes
118 ± 2.58 × 6.956/√200
= 118 ± 2.58 × 0.492
= 118 ± 1.2694
The lower end of the confidence interval is 118 - 1.2694 = 116.7306
The upper end of the confidence interval is 118 + 1.2694 = 119.2694
Answer:
x + x+1 + x+2 + x+3 + x+4 + x+5 + x+6 =217
7x+21=217
7x=196
x=28
Middle Number will be:
x+3
28+3
=31
Therefore, the middle number is 31.
Step-by-step explanation: