What is the first quartile , q1,of the following distribution ? 24,26,26,27,28,31,33,35,37,38,40,42 ,43,46,48,55,56 a . 27.5 b . 27 c . 24 d . 29.5

A. 27.5

Step-by-step explanation:

We have been given a data set. We are asked to find first quartile of our given data set.

24, 26, 26, 27, 28, 31, 33, 35, 37, 38, 40, 42, 43, 46, 48, 55, 56.

We can see that our given data set is in ascending form and it has 17 data points.

The median of the data set is 9th data point that is 37. The first quartile will be median of lower half.

The 1st quartile will be average of 4th and 5th data point that is:

Therefore, the first quartile of the given data set is 27.5 and option A is the correct choice.

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°

we have the parent function given by,

1. the function is translated 5 units to the left.

so, we get,   becomes

2. the function is translated 5 units to the right.

so, we get,   becomes

3. the function is translated 5 units upwards.

so, we get,   becomes

4. the function is translated 5 units downwards.

so, we get,   becomes

5. the function is reflected across x-axis.

so, we get,   becomes

6. the function is reflected across y-axis.

so, we get,   becomes .

step-by-step explanation:

mark brainliest.