Question 7In which of the following cases- do the quantities vary directly with each other- a beginarray - - - - - Whinex - 0-5 - 2 - 8 - 32 1y - 2 - 8 - 32 - 128 - hline end array Whinep - 1- 2 - 2- 2 - 3- 2 - 4 - 2 1q - 1- 3 - 2- 3 - 3- 3 - 4- 3 lihlinearray c array Whiner - 2 - 5 - 10 - 25 - 50 1s - 25 - 10 - 5 - 2 - 0-511 hlinearray Whineu - 2 - 4 - 6 - 9 - 12 llv - 18 - 9 - 6 - 4 - 3 illhline end array

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XI

Statistics

Quartiles & Percentiles

Question 7In ...

Question

Question 7

In which of the following cases, do the quantities vary directly with each other?
$(a) \begin{matrix} x & 0.5 & 2 & 8 & 32 y & 2 & 8 & 32 & 128 \end{matrix}$
$(b) \begin{matrix} p & 1^{2} & 2^{2} & 3^{2} & 4^{2} q & 1^{3} & 2^{3} & 3^{3} & 4^{3} \end{matrix}$
$(c) \begin{matrix} r & 2 & 5 & 10 & 25 & 50 s & 25 & 10 & 5 & 2 & 0.5 \end{matrix}$
$(d) \begin{matrix} u & 2 & 4 & 6 & 9 & 12 v & 18 & 9 & 6 & 4 & 3 \end{matrix}$

Open in App

Solution

In option (a)
x =0.5, 2, 8,32 and y =2,8, 32, 128
If we multiply x with 4, we get the directly required result as same as shown in corresponding y. In this case, as the value of x increases, the value of y also increases. Hence, option (a) is correct.

Suggest Corrections

Similar questions

Question 7

In which of the following cases, do the quantities vary directly with each other?
$(a) \begin{matrix} x & 0.5 & 2 & 8 & 32 y & 2 & 8 & 32 & 128 \end{matrix}$
$(b) \begin{matrix} p & 1^{2} & 2^{2} & 3^{2} & 4^{2} q & 1^{3} & 2^{3} & 3^{3} & 4^{3} \end{matrix}$
$(c) \begin{matrix} r & 2 & 5 & 10 & 25 & 50 s & 25 & 10 & 5 & 2 & 0.5 \end{matrix}$
$(d) \begin{matrix} u & 2 & 4 & 6 & 9 & 12 v & 18 & 9 & 6 & 4 & 3 \end{matrix}$

Q. Match the following.

A447, 8341Like fractionB103, 542Unlike fractionC13, 231Mixed fractionD35, 781Improper fraction

If
A = {1, 2, 3, 4}

B = {3, 4, 5, 6, 7}

C = {6, 7, 8, 9}

D = {7, 8, 9, 10}

$\begin{matrix} C o l u m n A & C o l u m n B 1. A \cup B & a . {3, 4, 6, 7} 2. A \cap B & b . \emptyset 3. (B \cap C) \cup D & c . {3, 4} 4. B \cup C \cup D & d . {3, 4, 5, 6, 7, 8, 9, 10} 5. (A \cap B) \cap (B \cup C) & e . {1, 2, 3, 4, 5, 6, 7} f . {6, 7, 8, 9, 10} g . {7} \end{matrix}$

If A = {3, 6, 9, 12, 15, 18, 21}
B = {2, 4, 6, 8, 10, 12, 14, 16}
C = {5, 10, 15, 20}

$\begin{matrix} A & B 1. B - C & A . {5, 10, 20} 2. A - C & B . {3, 9, 15, 21} 3. C - (A - B) & C . {3, 6, 9, 12, 18, 21} 4. C \cap (A - B) & D . {15} E . {2, 4, 6, 8, 12, 14, 16} \end{matrix}$

Q. Calculate Mean and Variance for the following frequency distribution:

X	:	1	2	3	4	5	6	7	8	9	10
f	:	2	5	8	16	21	18	13	10	4	3

Join BYJU'S Learning Program

Explore more

Quartiles & Percentiles

Standard XI Statistics

Join BYJU'S Learning Program

Question 7 In which of the following cases, do the quantities vary directly with each other? (a)x0.52832y2832128 (b)p12223242q13233343 (c)r25102550s2510520.5 (d)u246912v189643

In option (a) x =0.5, 2, 8,32 and y =2,8, 32, 128 If we multiply x with 4, we get the directly required result as same as shown in corresponding y. In this case, as the value of x increases, the value of y also increases. Hence, option (a) is correct.

In option (a)
x =0.5, 2, 8,32 and y =2,8, 32, 128
If we multiply x with 4, we get the directly required result as same as shown in corresponding y. In this case, as the value of x increases, the value of y also increases. Hence, option (a) is correct.