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GuDViN [60]
2 years ago
15

Suppose you pay $1.00 to roll a fair die with the understanding you will get $3.00 back rolling a 4 or a 2, and nothing otherwis

e. What is the expected amount you will win?
Mathematics
1 answer:
nikdorinn [45]2 years ago
6 0

There are 2 chances out of 6 to win $3

Every 6 rolls you are expected to win $6

Every 3 rolls you are expected to win $3.

On average, even though it's impossible, every roll you would make $1.

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What is the vertex and the equation of the axis of symmetry of the graph of y=x2-6x-7?
Ray Of Light [21]
X= -b over 2a = --6 over 2×1=3
y=3²-6(3)-7=-16
vertex is (3,-16)
axis of symmetry is 3
3 0
3 years ago
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PLEASE HELP ME I BEG
Kay [80]

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identity

• 1 + cot²x = csc²x

Consider the left side

csc^{4} x - cot^{4} x

Factorise as a difference of squares

= (csc²x - cot²x)(csc²x + cot²x)

= (1 + cot²x - cot²x)(csc²x + cot²x)

= csc²x + cot²x

= csc²x + csc²x - 1

= 2csc²x - 1 = right side ⇒ verified




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3 years ago
What is the interquartile range of the data ? 0,2,4,0,2,3,8,6
Alexeev081 [22]

(arrange the data set from least to greatest)

0, 0, 2, 2, 3, 4, 6, 8

(find the median: *the middle number*)

Median: 2.5

Lower quartile: 1

Upper quartile: 5

Interquartile range : upper quartile - lower quartile = answer

Interquartile range: 5 - 1 = 4

So the IQR or interquartile for the following data set is 4.

6 0
3 years ago
Find the Area of the figure below, composed of a rectangle and a semicircle.
Mamont248 [21]

Answer:

68.1 units²

Step-by-step explanation:

Start by finding the area of the rectangle...

Area=lw\\Area=6*9\\Area=54

Then, find the area of the semicircle...

Radius=\frac{1}{2}*Diameter=\frac{1}{2}*6=3

Area=\frac{1}{2}\pi r^2\\Area=\frac{1}{2}\pi 3^2\\Area=\frac{1}{2}\pi 9\\Area=\frac{9}{2}\ pi\\Area\approx14.1

Now, add the two to get...

54+14.1=68.1

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2 years ago
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Answer:

30 points, 20$,3 laps, 6 miles,15 degrees,7 books,11 gallons,22 miles,12 calls

Step-by-step explanation:

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3 years ago
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