Find completion to question in comment section.
Answer:
D. One of the jellybeans that slipped out was orange and one was black
Step-by-step explanation:
We calculate the option with the highest probability of occurrence :
Total number of jellybean = 75
n(T) =75
n(Pink) = 8
n(red) = 22
n(Orange) = 17
n(green) = 8
n(white) = 6
n(black) = 4
We assume that the jelly beans must have slipped out one after the other.
Evaluating the options :
A.)
P(pink) and P(white)
8/75 * 6/74 = 0.0086486
B.)
P(green) and P(green)
8/75 * 7/74 = 0.0100900
C.)
P(white) and P(white)
6/75 * 5/74 = 0.0054054
D.)
P(orange) and P(black)
17/75 * 4/74 = 0.0122522
From the probability values obtained, the highest is D. Hence, the most likely to have occurred is One of the jellybeans that slipped out was orange and one was black
Y=mx+b, m= slope, b= y intercept, plug in. Y=3x+5
The length of the bridge is 12.12 feet.
The length the dog swam is 32.36 feet.
The situation forms a right angle triangle.
<h3>What is a right angle triangle?</h3>
A right angle triangle has one of its angles as 90 degrees. Therefore, the sides and angle can be found using trigonometric ratios.
The length of the bridge is the opposite side of the triangle and the length the dog swim is the hypotenuse side of the triangle.
Therefore,
Let's find the length of the bridge as follows:
tan 68° = opposite / adjacent
tan 68° = 30 / l
cross multiply
l = 30 / tan 68
l = 12.1212121212
length of the bridge = 12.12 ft
The length the dog swim is as follows:
sin 68°= opposite / hypotenuse
sin 68° = 30 / h
h = 30 / sin 68
h = 32.3561767942
The distance the dog swimmed = 32.36 ft
learn more on right triangle here: brainly.com/question/22734914
Answer:
x = -2 and y = 2
Step-by-step explanation:
We have the following system of linear equations;
y=x+4
y=-2x-2
To solve the above system, we shall be equating the right hand sides of the two equations since we have y's on the left hand side of both equations;
x + 4 = -2x - 2
add 2x on both sides of the equation;
x + 4 + 2x = -2x - 2 + 2x
3x + 4 = -2
subtract 4 on both sides of the equation;
3x + 4 - 4 = -2 - 4
3x = -6
x = -2
We can use the first equation y=x+4 to determine the value of y;
y = -2 + 4
y = 2
The solution to the system of linear equations is thus;
x = -2 and y = 2
Answer:
<A=<D
Step-by-step explanation:
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