A bag of marbles contains 16 blue, 8 green, 9 red, 12 yellow and 5 black marbles. What is the probability of drawing a green marble?

Answers

Answer 1
Answer:

If a bag of marbles contains 16 blue, 8 green, 9 red, 12 yellow, and 5 black marbles. The probability of drawing a green marble will be 4/25.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

It is given that, a bag of marbles contains 16 blue, 8 green, 9 red, 12 yellow, and 5 black marbles.

The total number of marbles will be

=16+8+9+12+5

= 50

Number of green marble = 8

The probability of drawing a green marble is,

P(G) = 8 / 50

P(G) = 4/25

Thus, if a bag of marbles contains 16 blue, 8 green, 9 red, 12 yellow, and 5 black marbles. The probability of drawing a green marble will be 4/25.

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Answer 2
Answer:

Answer:

8/50

Step-by-step explanation:

you would take the number of that colored marble which in this case is green so now we have our numerator which is 8 next we are going to add all of the amount of numbers including the green and we get 50 and 50 is our denominator.


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A 50 ft tall tree is casting a shadow while the sun is at an angle of elevation of 63  . to the nearest foot, how long is the tree's shadow?

Answers

Remark

The question is an application of the Tangent Function.

Tan(63) = Opposite / Adjacent

Givens

Opposite side = height of the tree = 50 feet.

Adjacent side = shadow length which we have to solve for.

Solution

Tan(63) = opposite/ Adjacent Add a 1 on the left so you have a proportion.

Tan(63)/ 1 = 60 / adjacent Cross multiply

Adjacent * Tan(63) = 1 * 60

Adjacent = 60 / tan(63)

Adjacent = 60 / 1.963

Adjacent = 30.57 feet.

Một xưởng dệt thảm được giao làm một số thảm trong 30 ngày. Thực tế xưởng dệt đã tăng năng xuất lên 25% nên sau 25ngay không những đã làm xong số thảm mà còn làm thêm được 20 chiếc nữa. Tính số lượng thảm mà xưởng đã dệt trong 25 ngày

Answers

Gọi số tấm thảm xưởng dệt dệt theo dự định là x ( tấm, x >0 )

⇒ số tấm thảm xưởng dệt dệt trong 1 ngày theo dự định x/30 (tấm)

xưởng dệt dệt đc số tấm thảm trong thực tế là x/20 (tấm)

⇒số tấm thảm xưởng dệt dệt trong 1 ngày thực tế là x+20/25 (tấm)

Vì năng suất tăng 25% nên số tấm thảm dệt được trong 1 ngày thực tế sẽ bằng 125% số tấm thảm dệt đc trong 1 ngày theo dự định nên ta có PT : x+20/25=125% * x/30

me lười làm khúc dưới quá nên tự xử nha.

A rope is 66 feet long. It is cut into two pieces such that one piece is half the length of the other. What is the length of the longer piece of rope?a.22 feet
b.26 feet
c.33 feet
d.44 feet

Answers

So if one bit of the length, is half the size of the other bit then we can make the following equation, for x being the length of rope:

x + 2x = 66
3x = 66
x = 22

That is the length, of the smaller one (half the big one), so 2x = 44. Hence d) is your answer.

Hope I helped!
let's say the two piece's lengths are x and y

so x+y=66

then we are told that "one piece is half the length of the other"
so x = (1/2)y

we plug this into the first equation and get
(1/2)y + y = 66
or
1.5 y = 66

divide both sides by 1.5 to get y alone
y = 66 / 1.5 = 44

we can check to see if y is the longer one by finding x
x = 66 - y = 66 - 44 = 22

44 is bigger than 22
therefore 44 is the length of the longer piece

Q6: Women's heights have a mean of 63.6 inches and a standard deviationof 2.5 inches. What is the z-score corresponding to a woman with a height
of 70 inches? Is this usual or unusual?
A. Z-score is 2.56 and is usual. B. Z-score is 2.56 and is unusual
C. Z-score is -2.56 and is usual D. Z-score is -2.56 and is unusual

Answers

The corresponding z-score for a height of 70 inches is 2.56, which is considered unusual based on the standard threshold.

Use the concept of statistics defined as:

Statistics is a discipline of mathematics that deals with all aspects of data. Statistical knowledge aids in the selection of the appropriate technique of data collection and the use of those samples in the appropriate analysis process in order to effectively create the results. In short, statistics is an important procedure that assists in making data-driven decisions.

Given that,

The mean height of women: 63.6 inches

The standard deviation of women's heights: 2.5 inches

Height in question: 70 inches

Z-score formula: Z = (X - μ) / σ

The Z-score calculation for a height of 70 inches: Z = 2.56

Z-score interpretation: Unusual (greater than 2)

To find the z-score,

Use the formula:

Z = (X - μ) / σ

Where,

X is the value (in this case, 70 inches),

μ is the mean (63.6 inches),

σ is the standarddeviation (2.5 inches).

Calculating the z-score for a height of 70 inches:

Z = (70 - 63.6) / 2.5

Z = 6.4 / 2.5

Z = 2.56

So, the z-score corresponding to a woman with a height of 70 inches is 2.56.

Now, to determine if this z-score is usual or unusual,

Use the standard z-score table.

Usually, z-scores greater than 2 or less than -2 are considered unusual.

In this case,

The z-score is 2.56, which is greater than 2.

Hence,

The correct answer is B. The z-score is 2.56 which is unusual.

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Answer:

A

Step-by-step explanation:

Hopefully this helps

1.a.)In a two-digit number, the units digit is twice the tens digit. If the number is doubled, it will be 12 more than the reversed number. Find the number.
b.)Eight times the sum of the digits of a certain two-digit number exceeds this number by 19. The tens digit is two less than the units digit. Find the number.
c.)In a two-digit number, the units digit is twice the tens digit. If the number is doubled, it will be 9 more than the number reversed. Find the number.
ALL DUE IN 7 MIN! HELP NOW OR NEVER

Answers

x: the unit digit
y: the tens digit

The unit digit is twice the tens digit so:
x=2y

The two digit number:
10y+x

The two digit number doubled:
2(10y+x)

The reversed number:
10x+y

So:
2(10y+x)=10x+y+12

substitute x for 2y

2(10y+2y)=10(2y)+y+12

24y=21y + 12

3y=12
y=4

x=2y=2*4=8

So the number is 48.
xy is the number


a.
unit digit is y
tens is x
units is twice tens digit
y=2x
if it is doubled, it will be 12 more than reversed
20x+2y=12+10y+x
20x+4x=12+20x+x
3x=12
x=4
y=2x
y=2(4)
y=8
48 is the number




b. 8 times sum of digis is bigger than that number by 19
8(x+y)=19+10x+y
x=y-2

8(y-2+y)=19+10(y-2)+y
16y-16=19+10-20+y
y=3
x=y-2
x=3-2
x=1
the number is 13


c.
y=2x
2(10x+y)=9+10y+x
2(10x+2x)=9+20x+x
x=3
y=2x
y=3(3)
y=6

the number is 36



a. 48
b. 13
c. 36

How do I go about solving (27x^3/8y^9)^5/3? And what is the role of the numerator and denominator?

Answers

\left( (27x^3)/(8y^9)\right)^ (5)/(3)  \n\n\n =\left( ((3x)^3)/((2y^3)^3)\right)^ (5)/(3) \n\n\n =  \frac{(3x)^{3 *  (5)/(3) }}{(2y^3)^{3 *  (5)/(3) }} \n\n\n =((3x)^5)/((2y^3)^(5 )) \n\n\n =(243x^5)/(32y^(15))

Now, If the exponent was negative like you asked....

\left( (27x^3)/(8y^9)\right)^ {-(5)/(3)} \n\n\n =\left( (8y^9)/(27x^3)\right)^ {(5)/(3)}\n\n\n =\left( ((2y^3)^3)/((3x)^3)\right)^ (5)/(3) \n\n\n = \frac{(2y^3)^{3 * (5)/(3) }}{(3x)^{3 * (5)/(3) }} \n\n\n =((2y^3)^(5 ))/((3x)^5) \n\n\n =(32y^(15))/(243x^5)