Question

anyone know's this question

Answer 1

${ \blue{ \boxed{ \sf{ Question\: 1}}}}$

Given:

• Sudha has 15 more than 5 fives times the marbles avin has. And sudha has 35 marbles

To Find:

• The number of marbles avin has

Solution:

➝ Let the number of marbles

⠀⠀⠀⠀☆ Avin has be x

⠀⠀⠀⠀☆ Sudha has be 5x + 15

${ \underline{ \frak{ \dag{As \: we \: know \: that }}}}$

• The number of marbles owned by sudha = 35

☆Framing an equation we get ,

${ : \implies} \sf 5x + 15 = 35 \\ \\ \\ { : \implies} \sf5x = 35 - 15 \\ \\ \\ { : \implies} \sf5x = 20 \: \: \: \: \: \: \: \: \: \\ \\ \\ { : \implies} \sf \: x = \cancel\frac{20}{5} \: \: \: \: \: \: \: \: \: \\ \\ \\ { : \implies} \sf{ \purple{ \underline{ \boxed{ \pmb{ \frak{x = 4}}}} \bigstar}} \: \: \: \: \:$

• Henceforth the no of marbles avin has are 4

${ \blue{ \boxed{ \sf{ Question\: 2}}}}$

Given:

${ \boxed{ \tt{ \: ob = 33, 41, 31, 37, 49, 49, 68, 120, 77}}}$

To Find:

• The mode
• The range

Solution:

Mode:

• The value that has the most frequently in a set of data

Frequency of :

$\leadsto \tt \: 33 = { \boxed{1}}$

$\leadsto \tt \: 41 = { \boxed{1}}$

$\leadsto \tt \: 31 = { \boxed{1}}$

$\leadsto \tt \: 37 = { \boxed{1}}$

$\leadsto \tt \: 49 = { \boxed{2}}$

$\leadsto \tt \: 68 = { \boxed{1}}$

$\leadsto \tt \: 120 = { \boxed{1}}$

$\leadsto \tt \: 77 = { \boxed{1}}$

• Henceforth 49 is the mode of their scores

☆ Now let's find the Range of the data

Range :

• Greatest value - Least value in the data is range

$\leadsto {\frak{ Range = 120 - 31}} \\ \\ \leadsto { \frak{ Range = \: 89} \star} \: \: \: \: \: \: \: \: \: \:$

• Henceforth the range of the data is 89

${ \blue{ \boxed{ \sf{ Question\: 3}}}}$

Given:

• A transversal shown in the figure

To Find:

• The value of x

Solution:

$\leadsto \tt \: x = \angle \: 50 \degree[ opposite \: interior \: angles] \\ \\ \\ \leadsto { \boxed{ \pmb{ \frak{x = 50 \degree}}} \bigstar} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

• Henceforth the measure of x is 50°