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A variable which can take any possible values within the range is called as _______________

A is a subset of B. If n(A) = 10 and n(B) = 30, then n(B U A) = __________ .

What is the surface area of a sphere formed by joining four identical solid quarter spheres, if the surface area of each one of them is $32c{m}^2$?

Complete the following

Question 18
Bulbs are packed in cartons each containing 40 bulbs. Seven hundred cartons were examined for defective bulbs and the results are given in the following table.


$\begin{array}{ccccccccc}\text{Number of}& 0& 1& 2& 3& 4& 5& 6& \text{More}\\ \text{defective}& & & & & & & & \text{than 6}\\ \text{bulbs}& & & & & & & & \\ \text{Frequency}& 400& 180& 48& 41& 18& 8& 3& 2\end{array}$

One carton was selected at random. What is the probability that it has
(i) No defective bulb?

(ii) Defective bulbs from 2 - 6?

(iii) Defective bulbs less than 4?

Three rectangles are cut along their diagonals and the triangles so got are rearranged to form a regular pentagon as shown below:

Find the dimensions of the rectangles.

Find the equivalent form of $\frac{4\sqrt{2}+3\sqrt{6}}{5\sqrt{6}+6\sqrt{2}}$.

At an event, a total participation fee of $900 was collected from participants

The equation representing the number of participants at career's talk is

Find the mean of the given numbers :

450 , 526 , 444 , 570 and 510

For y = ${\log }_{a}x$ to be defined a and x must be _____.

Question 07.1.

Suppose 2 kg of sugar contains $9\times {10}^6$ crystals. How many sugar crystals are there in 5 kg of sugar?

Which of the following is an irrational number?

i) $2\sqrt{3}$

ii) $0.143\overline{32}$

iii) $5.\overline{46}$

iv) $\sqrt{5}$

In the given figure, if $\angle BAD=\angle CAD,\angle ABD=\angle ACD,$ then which of the following is false?

If $\frac{9}{7}$ and $\frac{a}{63}$ are equivalent fractions, then the value of $a$ is ___.

In the figure given below, if lines PQ and RS intersect at point T, such that,

$\angle PRT={40}^{\circ }$, $\angle RPT={95}^{\circ }$ and $\angle TSQ={75}^{\circ }$, then find $2\angle SQT$.

What is the area (in $c{m}^2$) of a regular hexagon with 8 $cm$ sides?

Consider the polynomial:

$a_n{x}^n$ + $a_{n-1}{x}^{n-1}$ + $a_{n-2}{x}^{n-2}$ + ....+$a_{1}x$ + $a_0$

When will this polynomial be called Zero Polynomial?

Three solids metal cubes of size 6&8&10 cm are metalled to form a new cube . Find the side of the new cube

In parallelogram ABCD, two points P and Q are taken on diagonal BD such that DP = BQ (see the given figure).

Show that:

(i) ΔAPD ≅ ΔCQB

(ii) AP = CQ

(iii) ΔAQB ≅ ΔCPD

(iv) AQ = CP

(v) APCQ is a parallelogram

1. 85

In the figure below, ABC is a right angled triangle. AB = 10 centimetres and AC = 6 centimetres. The midpoint of AB is M.

Compute the lengths of the sides of ΔMBN.

Simplify $2\sqrt{3}+4\sqrt{2}$

Write down the sample space for rolling a pair of dice. Also write down the set of outcomes for the events (i) rolling a double (ii) getting a sum of 7 (iii) getting a sum of 1.

The value of ‘k’ for which the points (1, 2), (5, 6) and (k, 1) are collinear is

In the following diagram, if AC = AB, then $\frac{CF}{BE}$ is equal to _______.