1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
il63 [147K]
3 years ago
10

What is the probability of getting 53 Sundays in a Leap year? Please explain with all the steps.

Mathematics
1 answer:
Vaselesa [24]3 years ago
8 0
What is the probability, that a leap year selected at random will contain 53 Sundays? 

Sol.: A leap year has 366 days, therefore 52 weeks i.e. 52 Sunday and 2 days.

The remaining 2 days may be any of the following : 

(i) Sunday and Monday 

(ii) Monday and Tuesday 

(iii) Tuesday and Wednesday 

(iv) Wednesday and Thursday 

(v) Thursday and Friday 

(vi) Friday and Saturday 

(vii) Saturday and Sunday 

For having 53 Sundays in a year, one of the remaining 2 days must be a Sunday. 

n(S) = 7 

n(E) = 2 

<span>P(E) = n(E) / n(S) = 2 / 7


I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
</span>
You might be interested in
The height of the rectangle and the triangle are the same. The base of the triangle is half the base of the rectangle.
Lina20 [59]
<h2>Answer: C 375 cm²</h2>

Step by step explanation: The last answer i wrote was wrong, so i retook the quiz and got 100% and this was right.

4 0
2 years ago
A right triangle is displayed.
Mazyrski [523]

Answer:

You have to use the Pythagorean Theorem to find the other side, which will be your base in the Area formula (A=1/2bh). So the Pythagorean theorem would be 36^2 + b^2 = 60^2. This gives you 48 in for your base/missing side length. Then, you plug it into the area formula. So, A=1/2(48) (36). This gives you 864 in^2 for the area of your triangle.

5 0
3 years ago
Can you please solve and explain how
Karolina [17]

First, it would help to simplify each side more:

Left side: 36 + 3(4x - 9) = 36 + 12x - 27 = 12x + 9

Right side: c(2x + 1) + 25 = 2cx + c + 25

Write the simplified equation:

12x + 9 = 2cx + c + 25

Usually when there is no solution, the coefficients of the variable on both sides are the same, so we can make the coefficient if x on the right side into 12:

2cx >>> 12x

Then, c must equal 6 to make this true.

The answer is choice (C).

6 0
3 years ago
Read 2 more answers
Which is equivalent to log<br> 2 18 = x-1<br> 18^2 = x-1<br> 2^18 =x-1<br> 18^х-1=2<br> 2^x-1= 18
uysha [10]

Answer:

it the second one

Step-by-step explanation:

b/c 18times it self 2in x-1 is just talking it a way bone

6 0
3 years ago
On a coordinate plane, triangles R S T and L M N are shown. Triangle R S T has points (5, 5), (2, 1), and (1, 3). Triangle L M N
ivolga24 [154]

Answer:

LMN has a larger area

Step-by-step explanation:

Given

RST

R =(5,5)

S= (2,1)

T = (1,3)

LMN

L = (0,-1)

M= (2,-4)

N= (-2,-3)

Required

Compare both areas

The area of triangle is:

Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3|

For RST, we have:

Area = \frac{1}{2}|5*1 - 2*5 + 2*3 - 1*1 + 1*5 - 5*3|

Area = \frac{1}{2}|-10|

Remove absolute signs

Area = \frac{1}{2}*10

Area = 10

For LMN, we have:

Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3|

Area = \frac{1}{2}|0*-4-2*-1+2*-3--2*-4--2*-1-0*-3|

Area = \frac{1}{2}|-14|

Remove absolute signs

Area = \frac{1}{2}*14

Area = 7

<em>By comparing both areas, we can conclude that LMN has a larger area</em>

3 0
3 years ago
Other questions:
  • Is 41/50 closer to 9/11 or 10/11
    12·1 answer
  • Can a triangle be formed by 7.4 cm , 8.1 cm , 9.8 cm
    9·1 answer
  • There are three highways in the county. The number of daily accidents that occur on these highways are Poisson random variables
    13·1 answer
  • How do you write <br> -84. 72<br> as a fraction repeating 72
    10·1 answer
  • You start driving north for 9 miles, turn right, and drive east for another 40 miles. At the end of driving, what is your straig
    7·1 answer
  • The ratio of Val's savings to Dan is 2:3 at first. After Dan spent P3000.00, Val's saving became 11/3 more of that Dan's remaini
    12·1 answer
  • What is -3/4(-5/9) ?
    12·2 answers
  • PLS HELP IN NEED NOW HAVE 5 MIN PLS
    14·2 answers
  • What equation in slope-intercept form represents the line that passes through the points (1, -6), (-3, 10).
    8·2 answers
  • The area of a triangular region is 3,136 sq . cm. if the perpendicular from one vertex to the opposite side is 64 cm, find the l
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!