Answer: a) 
b) 
Step-by-step explanation:
Since we have given that
Number of days in a year = 365
Number of students = 50
Probability that no two students share the same birthday. It means each student has different birthday.
Probability(no two students share the same birthday)
Probability(no two students share the same birthday)
Probability(no two students share the same birthday)
Probability that at least one of the students has the same birthday as another student in the class is given by
Answer:
x = 6 ; y = -9
Step-by-step explanation:
8 x + 2 y = 30 ..........equ No 1
7 x + 2 y = 24......... equ No 2
8 x = 30 - 2y
∴ x =
substituting the value of x in equ No 2
7 
+ 2 y = 24
7 ( 30 -2 y) + 2 y × 8 = 24 × 8
7 × 30 - 14 y + 16 y = 192
210 + 2 y = 192
2 y = 192 - 210
2 y = - 18
∴ y = - 9
put y = -9 , 8 x = 30 - 2 y
8 x = 30 - 2 ( -9)
8 x = 30 - ( -18)
8 x = 48
∴ x = 6
x = 6 ; y = -9
Answer:
Step-by-step explanation:
Answer(1):
Given that h(y)=2y-7.
h(8) means plug y=8 into h(y)=2y-7.
h(8)=2*8-7=16-7=9
Hence C) 9 is the final answer.
Answer 2:
(7/8) = (m/32)
to solve for m, we begin by cross multiply
8m=7*32
8m=224
m=28
Hence choice C) 28 is final answer.
Reflection symmetry occurs when a line is drawn to divide a shape in halves so that each half is a reflection of the other.
Rotational symmetry is to check if the given picture is symmetric after some rotation.
Answer 3:
Letter "E" will have
B) the letter has reflection symmetry only
So B) is correct.
Answer 4:
Which statement is true?
Letter "Z" will have
B) the letter has rotation symmetry only
Hence B) is correct.
Answer 5:
Letter "X" will have
A) the letter has both reflection and rotation symmetry
Hence A) is correct.
Answer:
262.12mph and 419kph
Step-by-step explanation:
Given: It takes 4 hours and 15 minutes to fly from Orlando, Florida, to Boston, Massachusetts. The distance between the two cities is 1114 miles
To Find: the average speend of the plane in miles per hour, If every mile is approximately 1.6 kilometers, the speed of the airplane in kilometers per hour
Solution:
Distance between Orlando,Florida and Boston, Massachusetts
Time taken to cover the distance 
and 
We know that,
It is given that,
therefore,
Speed Of plane in Kilometers per hours 
Speed of in miles per hour is 
and Speed in kilometer per hour
