The probability of pulling one marble out of a jar containing 49 red marble and 1 blue marble is 1 / 50, hence it is an unlikely event, so option D is correct.
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a value between 0 and 1.
Given:
Pull a blue marble at random out of a jar with 49 red marbles and 1 blue marble,
Calculate the probability of pulling blue marble as shown below,
Probability = number of blue marble / total marble
Probability = 1 / 49 + 1
Probability = 1 / 50
As you can see here, the probability of the event pulling the blue marble in the jar is not dependent on the probability of pulling the red marble as there is only one marble so, it is an example of an unlikely event.
We know that the probability of an unlike event is between 0 and 1 / 2 and here probability is 1 / 50,
Thus, it is an unlikely event.
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Answer:D. Unlikely
Step-by-step explanation:
A: 100-b=15
B: b+15=100
C: 15b<100
D: 15b> (or equal to) 100
Answer:
D
Step-by-step explanation:
The complex number 5-3i is plotted on the complex plane at point (5,-3). The modulus of this complex number is approximately 5.8.
Complex numbers are mathematical entities that extend real numbers to include imaginary components, represented as "a + bi," where 'a' and 'b' are real numbers and 'i' is the imaginary unit (equal to the square root of -1). Complex numbers are used in various fields, including engineering and physics, to describe phenomena involving oscillations, electrical circuits, and quantum mechanics. They are vital for solving equations that have no real solutions and play a fundamental role in understanding complex systems and mathematical analysis, making them a valuable tool in science and engineering.
To graph the complex number 5-3i in the complex plane, you need to plot the point (5,-3). On the horizontal axis (real axis) you mark 5 and on the vertical axis (imaginary axis) you mark -3.
The modulus of a complex number a + bi is the square root of (a2 + b2). In this case, the modulus would be sqrt((5)2 + (-3)2) = sqrt(25 + 9) = sqrt(34), which is approximately 5.8 when rounded to the nearest tenth.
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Answer:
Box 2 : ( 1,5,3,10,9)
[(5-3)×1]-(10-9)
(2*1)-1 =1
Box 3 : {1,6,2,8,7,4}
(1+6+3 -7)- (8÷4) =
10-7-2 = 1
Answer:
2) 1 · 5 + 9 - 3 - 10 = 1
3) 1 · 8 + 6 - 2 - 4 - 7 = 1
Which expression can be used to determine the greatest possible volume of the cardboard box?
A) (x−7)(x−11)x
B) (7−2x)(11−2x)x
C) (11−7x)(11x−7)
D) (7x−11)(7−11x)
Answer:
Option B
Step-by-step explanation:
Given is a rectangle with width 7 and length 11.
From each corner of the rectangle a square of length x is cut and foled to make a box
Now for the open box we made, height = x
width = rectangle width - 2 times d
= 11-2x
Length = rectangle length-2x
Hence volume of box
=lwh
= (7-2x)(11-2x)x
Answer: B)
Step-by-step explanation:
Given: The length of the cardboard = 11 in.
The width of the cardboard =7 in.
If a box is created without a top from a piece of cardboard, but cutting out square corners with side length x, then the dimensions of box will be:-
Width (w)=
length (l)=
Height (h)=
Now, volume of rectangular box is given by :-
Hence, the expression can be used to determine the greatest possible volume of the cardboard box is given by :-