Learning Task 2: Translate the following sentence into equation. Use x as the var- iable to represent number.
1. The perimeter of the rectangle is 96 when the length of a rectangle is twice the
width.
2. The perimeter of equilateral (equal sides) triangle is 24.
3. Two-third of the number is 72
4. The sum of two consecutive integers is 29.
5. Four times a number increased by 8 is 54.
B. Translate the following sentence to inequality. Use y as the variable to
represent a number.
1. The discount is not less than 100
2. The costs of the book is at most 300.00
3. His monthly income is at least 20,000.00
4. Twice the number is at least 80
5. Twice the measure of the acute angle is not more than 90 degrees.

PLEASE ANSWER THE RIGHT ANSWER I NEEDED IT NOW I WILL SUBMIT THIS NOW.​

Acell phone company offers two plans to its subscribers. at the time new subscribers sign up, they are asked to provide some demographic information. the mean yearly income for a sample of 40 subscribers to plan a is $45,000 with a standard deviation of $9,200. for a sample of 25 subscribers to plan b, the mean income is $64,300 with a standard deviation of $7,100. at the 0.025 significance level, is it reasonable to conclude the mean income of those selecting plan b is larger? assume unequal population standard deviations. hint: for the calculations, assume the plan a as the first sample. what is the decision rule? (negative amount should be indicated by a minus sign. round your answer to 3 decimal places.) compute the value of the test statistic. (negative amount should be indicated by a minus sign. round your answer to 2 decimal places.) what is your decision regarding h0 ? reject h0 fail to reject h0 compute the p-value. less than 0.01 between 0.01 and 0.025 between 0.025 and 0.05 between 0.05 and 0.10 greater than 0.10