Question
Find the probability that a leap year selected at random will have 53 sundays.
✓
Answer
$\frac{2}{7}$
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Similar questions
Kalpana saves some amount every month. In first three months she saves $Rs.100,$
$Rs.150$ and $Rs.200$ respectively. In how many months will she save $Rs.1200?$
Activity :- Kalpana’s monthly saving is $Rs.100,Rs.150,Rs.200........Rs.1200$
Here $d=50.$Therefore this sequence is an A.P.
$a=10, d=50,$ $t _{ n }$___$ n=?$
$t _{ n }= a+(n-1)$____
_____$= 100+(n-1)\times 50$
$\frac{\square}{50}=n-1$
$n=\square$
therefore, she saves $Rs.1200$ in ____ months.
→$Rs.150$ and $Rs.200$ respectively. In how many months will she save $Rs.1200?$
Activity :- Kalpana’s monthly saving is $Rs.100,Rs.150,Rs.200........Rs.1200$
Here $d=50.$Therefore this sequence is an A.P.
$a=10, d=50,$ $t _{ n }$___$ n=?$
$t _{ n }= a+(n-1)$____
_____$= 100+(n-1)\times 50$
$\frac{\square}{50}=n-1$
$n=\square$
therefore, she saves $Rs.1200$ in ____ months.
Solve for x and y:
3x - 5y - 19 = 0,
-7x + 3y + 1 = 0
3x - 5y - 19 = 0,
-7x + 3y + 1 = 0
The. number of telephone calls received at an exchange per interval for 250 successive one-minute intervals are given in the following frequency table:
Compute the mean number of calls per interval.
|
No of calls (x)
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
|
No of intervals (f)
|
15
|
24
|
29
|
46
|
54
|
43
|
39
|
Find the value of k for which the root are real and equal in the following equations:
$kx^2 + 4x + 1 = 0$
→$kx^2 + 4x + 1 = 0$
The monthly income of $100$ families are given as below:
Calculate the modal income.
→|
Income in ₹
|
Number of families
|
|
$0-5000$
|
$8$
|
|
$5000-10000$
|
$26$
|
|
$10000-15000$
|
$41$
|
|
$15000-20000$
|
$16$
|
|
$20000-25000$
|
$3$
|
|
$25000-30000$
|
$3$
|
|
$30000-35000$
|
$2$
|
|
$35000-40000$
|
$1$
|
In the adjoining figure, $\angle$L = $\angle$MKN = 90°, $\angle$MKL = 30° and $\angle$MNK = 45°. If KL = $6 \sqrt{3}$, then find MK, ML, KN, MN and perimeter of $\square$MNKL.
→If the point $P(k - 1, 2)$ is equidistant from the points $A(3, k)$ and $B(k, 5)$, find the values of $k$.
→O is the centre of a circle of a radius $8\ cm$ the tangent at a point A on the circle cuts a line through O at B such that AB = $15\ cm$. Find OB.
→Find the value of k for which each of the following system of equations have infinitely many solutions:
→$kx + 3y = 2k + 1$
$2(k + 1)x + 9y = 7k + 1$
Six years hence a man's age will be three times the age of his son and three years ago he was nine times as old as his son. Find their present ages.