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Vadim26 [7]
2 years ago
15

A bag contains 14 gray, 7 black and 10 white marbles. A marble is drawn at random. What is the theoretical probability, as a dec

imal, of drawing a black marble? Round the decimal to the nearest hundredth
Mathematics
1 answer:
Dahasolnce [82]2 years ago
6 0
The probability of drawing a black marble is 7/31 or .226 or 22.581%. To find the probability of these type of questions, add all together to get 31, then since there are 7 black marbles the probability would be 7/31.
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1. What is the value of x in the triangle?
brilliants [131]
Problem 1

cos(angle) = adjacent/hypotenuse
cos(18) = x/25
25*cos(18) = x
x = 25*cos(18)
x = 23.7764129073789
x = 23.78

Answer: x = 23.78

=====================================================

Problem 2

theta = greek letter that looks like a "zero" or the letter O with a horizontal line through it

With the reference angle of theta, the opposite side is 3. This side is the leg furthest from the angle theta. In contrast, the side 4 is the closest leg to theta. The longest side 5 is the hypotenuse. The hypotenuse is always the lonest side

sin(theta) = opposite/hypotenuse
sin(theta) = 3/5

cos(theta) = adjacent/hypotenuse
cos(theta) = 4/5

tan(theta) = opposite/adjacent
tan(theta) = 3/4

---------------------------

In summary:
sin(theta) = 3/5
cos(theta) = 4/5
tan(theta) = 3/4

=====================================================

Problem 3

cos(angle) = adjacent/hypotenuse
cos(x) = 15/29
x = arccos(15/29) .... inverse cosine or cos^(-1) also works
x = 58.852610078491
x = 58.85

Answer: x = 58.85

=====================================================

Problem 4

The rule we'll use is
sin(x) = cos(90-x)

sin(theta) = cos(90-theta)
cos(90-theta) = cos(58)
90 - theta = 58
90 - theta+theta = 58+theta
90 = 58+theta
90-58 = 58+theta-58
32 = theta
theta = 32

Answer: 32

=====================================================

Problem 5

x = height of pole

the vertical side is the side we want, which is the opposite side compared to the angle 55 degrees

sin(angle) = opposite/hypotenuse
sin(55) = x/25
25*sin(55) = x
x = 25*sin(55)
x = 20.4788011072248
x = 20.5

Each pole is roughly 20.5 feet tall.

=====================================================

Problem 6

The exact value is the fraction sqrt(3)/2 which can be written as \frac{\sqrt{3}}{2}

"sqrt" is shorhand for "square root"
6 0
3 years ago
Read 2 more answers
Convert the mixed numbers to improper fractions:1. 5 6/72. 8 3/9
finlep [7]
1. 5x72+6 over 72 = 366/72
2. 8x9+3 over 9. = 75/9
5 0
2 years ago
How many numbers multiple of 3 are in the range [2,2000]?
amm1812

Answer: so there are 666 multiples of 3 between 2 and 2000.

Step-by-step explanation:

the smallest number = 3 which is 3*1. The largest number is = 1998 = 3*666

multiples of 3 between {2,2000} = 666-1+1 = 666

7 0
3 years ago
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kodGreya [7K]
You mean, what is this number?

we can rephrase it like this: the sum of a number x and 8 is 15

which is:

x+8=15

we subtract 8 from both sides and we get
x=7

so the answer is 7.
3 0
3 years ago
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HURRY!!! Please tell me a awnser i can just pick them in my class pick from the bottem
LekaFEV [45]

Answer:

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Step-by-step explanation:

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8 0
2 years ago
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