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IrinaVladis
5 days ago
8

Lupe can ride her bike at a rate of 20 mph when there is no wind. On one particular day, she rode 2 miles against the wind and n

oticed that it took her the same amount of time as it did to ride 3 miles with the wind. How fast was the wind blowing that day?
Mathematics
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You’re assembling desserts with a friend. Together you can make 12 desserts in five minutes. Two more friends arrive and you are
Svet_ta [12734]
There are 10 minutes in the second segment so first, we calculate 48/2 to get 24. Next, 24/4 (since there are 4 people involved) equals 6, and then multiplying that by 6, since the group consists of 6 people, the final result is 36 in 5 minutes
8 0
3 months ago
A sociologist is studying the social media habits of high school students in a school district. The sociologist wants to estimat
zzz [12365]

Answer:

A one-sample t-interval for estimating a population mean

Step-by-step explanation:

Given the inquiry "On average, how many minutes each day do you spend on social media sites?", the response will be numeric (in hours, whole numbers, or decimals).

This is not a proportion, so the suggestion of "A one-sample t-interval for a population mean" is not applicable.

The study does not specify another metric for paired comparisons, making a matched-pairs test irrelevant. Hence, the option "A matched-pairs t-interval for a mean difference" is also excluded.

Since there are no two means being examined, the options for "difference between means" are not applicable either. Therefore, options like "A two-sample z-interval for a difference between proportions" and "A two-sample t-interval for a difference between means" are dismissed.

The correct approach should be a one-sample t-interval for a population mean, as there is only a single sample and a defined population mean, with the population standard deviation remaining unknown.

3 0
3 months ago
do you agree that the equation (x-4)²=9 can be solved both by factoring and extracting square roots? ​
Zina [12379]

Given parameters:

  Equation:

          (x-4)²=9

Problem: Solve the equation by both factoring and extracting the square root.

Solution:

    Starting equation:

                  (x-4)²=9

         Subtracting 9 from both sides brings us to zero;

                (x-4)² - 9 = 0

                (x -4)² - 3² = 0

  This fits the concept of the difference of squares;

          x² - y² = (x + y)(x-y)

                     

Let x  = x-4 and y = -3

  Then input and solve;

              (x - 4 -3)(x - 4 -(-3)) = 0

              (x - 7)(x - 1) = 0

S thus,

             x - 7 = 0 or x-1 = 0

             x = 7 or 1

<pBy extracting the square roots;

          (x-4)² = 9

         √(x-4)² = √9

              x - 4 = 3

              x  = 4 + 3 = 7; however, this is not the sole solution

Thus, direct extraction of the square root is not the method for complete solutions.

7 0
3 months ago
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