State the number of complex zeros f(x) = x’ + 4x² – 2x

Question 63:

We have to identify a set of data best which represents a histogram with 4 bars, the bar labeled 0-9 has a height of 5, the bar labeled 10-19 has a height of 3, the bar labeled 20-29 has a height of 6, the bar labeled 30-39 has a height of 4.

Let us observe the four data sets:

1. In the first data set, there are 9 values in the interval 0 to 9 instead of 5 values. This set does'not represents the given histogram.

2. In the second data set, there are 4 values in the interval 20 to 29 instead of 6 values. This set does'not represents the given histogram.

3. In the third data set, there are 6 values in the interval 0 to 9 instead of 5 values. This set does'not represents the given histogram.

4. In the fourth data set, there are 5 values in the interval 0 to 9, 3 values in the interval 10 to 19, 6 values in the interval 20 to 29, 4 values in the interval 30 to 39. Therefore, this data represents the given histogram.

Option 4 is the correct answer.

Question 64:

We have to find the lower quartile (Q1), median (Q2) and upper quartile (Q3).

{20, 22, 22, 24, 26, 28, 29, 32, 33, 35}

Firstly, we will arrange the numbers in ascending order.

{20,22,22,24,26,28,29,32,33,35}

Since there are total 10 terms. There are even terms.

So, median = Mean of () and ()+1 th observation

As,

So, Median =mean of 5th and 6th observation.

Mean = sum of all the observations divided by the total number of observations.

Mean =

Median = 27.

SO, the median (Q2) is 27.

Now to calculate Q1(Iower quartile),

Consider the data set {20,22,22,24,26}

Q1 is calculated by taking the middle term of first half data set, which is 22.

Now to calculate Q2(upper quartile),

Consider the data set {28,29,32,33,35}

Q3 is calculated by taking the middle term of second half data set, which is 32.

Question:

Consider the given matrix:

We need to find the dimension of the matrix.

A matrix "" mean it is a matrix with 'm' rows and 'n' columns.

Since, in this matrix there are 3 rows and 2 columns.

So, the dimension of the matrix is .

So, option C is the correct answer.