In a bag of marbles, you have 4 green, 3 yellow, 5 blue, and 8 red marbles. What is the probability of picking a green marble from the bag?a) 3/20
b) 1/5
c) 1/10
d) 1/4

Answers

Answer 1

Answer: 4 + 3 + 5 + 8 = 20

4 / 20 = 1/5

Answer 2

Answer: A) 3/20
add up all of the marbles and whatever is asking you for possibilities is the number of marbles is given you already. for example. i have a ticket for a raffle. so i got only 1 and there is 25 people more with a ticket. what are my chances of winning? 1 out of 25 right?(1/25) because i got 1 ticket if i had 2 it would be 2 out of 25 or (2/25) hope this helps. :)

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What is the quotient of 32 divided by -4 as a fraction?

Answers

the neat part of dividing and putting them into fraction form is that you just put those two numbers together in a fraction

32/4(32 divided by 4)

however, this can be simplified into 8/1 or just 8 but the question asks us to state it as a fraction so you can either leave it as 32/4 or 8/1.

Verify the identity:

cos(a+B)/cos a sin B = cot B -tan a

Answers

cos( A + B ) = cosAcosB - sinAsinB ;
cos( A + B ) / ( cosAsinB ) = ( cosAcosB - sinAsinB ) / ( cosAsinB ) = ( cosAcosB ) / ( cosAsinB ) - ( sinAsinB ) / ( cosAsinB ) = cosB / sinB - sinA / cosA = cotB - tanA ;

A rectangular painting measures 15 inches by 18 inches and contains a frame of uniform width around the four edges. The perimeter of the rectangle formed by the painting and its frame is 90 inches. Determine the width of the frame.

Answers

Answer:

3 inches

Step-by-step explanation:

Lenght = 18 inches

Width =15 inches

Perimeter of the rectangular painting and frame = 90 inches

Let X be the width of the frame

The width of the framed picture = 15 + 2x

The length of the framed picture = 18 + 2x

Perimeter = 2 (L + W)

90 = 2(15 + 2x + 18+ 2x)

90 = 2(33 + 4x)

90 = 66 + 8x

8x = 90 - 66

8x = 24

x = 24/8

x = 3 inches

the width of the frame is 3 inches

Final answer:

To determine the width of the frame, subtract twice the frame width from the length and width of the outer rectangle and set up an equation based on the perimeter.

Explanation:

To determine the width of the frame, we need to first find the dimensions of the inner rectangle formed by the painting. If we subtract twice the frame width from the length and width of the outer rectangle, we get the length and width of the inner rectangle. Let's call the width of the frame 'x'.

The length of the inner rectangle is 15 inches - 2 inches, and the width of the inner rectangle is 18 inches - 2 inches. The perimeter of the inner rectangle is the sum of its four sides, which can be calculated using the

formula P = 2l + 2w. We know that the perimeter of the inner rectangle is 90 inches, so we can set up the equation:

90 = 2(15 - 2x) + 2(18 - 2x)

Solving this equation will give us the value of 'x', which represents the width of the frame.

Learn more about the Dimensions of a rectangular frame here:

brainly.com/question/32613996

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The data set represents the number of rings each person in a room is wearing.0, 2, 4, 0, 2, 3, 2, 8, 6

What is the interquartile range of the data?

Answers

Answer: 4

Step-by-step explanation:

First arrange the given data in ascending order :-

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

Number of terms = 9

Second quartile =Median= $(9+1)/(2)=5^(th)\ term=2$

Now, the first quartile $Q_1$ =The median for the lower half of data

= Mean of 2nd term and 3rd term

$=(0+2)/(2)=1$

The third quartile $Q_3$ =The median for the upper half of data

= Mean of 7th term and 8th term

$=(2+8)/(2)=5$

Now, Interquartile range = $Q_3-Q_1=5-1=4$

Hence, the interquartile range of the data =4.

Answer:

Step-by-step explanation:

♥☺

the ratio of red marbles to blue marbles in a bag is 4:7. There are 16 red marbles.How many blue marbles are there? solve for indicated variable.

Answers

red marbles : blue marbles = 4:7

16 - red marbles
x - blue marbles

$(16)/(x)=(4)/(7) \n 16 * 7 = 4x \n4 * 7 = x \nx=28$

There are 28 blue marbles.

4x - number of red marbles
7x - number of blue marbles

$4x=16\nx=4\n\n7x=7\cdot4=\boxed{28} \leftarrow \hbox{number of blue marbles}$

A football coach gives half his players a protein bar to eat before each game; the other players do not receive the protein bar. After a month of games, he analyzes their playing stats. He concludes the protein bar helped improve their performance on the field. How can the coach test the means to be sure the results are not likely to happen by chance?A.He can rerandomize the results by separating the two groups randomly, then calculate the means and the difference of the means.
B.He can pick players at random and analyze their playing stats without calculating means.
C.He can analyze the two groups by calculating the means and the difference of the means.
D.He can pick the players he wants to analyze based on the best stats.

Answers

Answer:

The answer is option A.

Step-by-step explanation:

How can the coach test the means to be sure the results are not likely to happen by chance?

A.He can re randomize the results by separating the two groups randomly, then calculate the means and the difference of the means. (This is because, in statistical data, it cannot happen by chance. It has to be a valid occurrence, nothing by chance.)

Answer:

A.He can rerandomize the results by separating the two groups randomly, then calculate the means and the difference of the means.

Step-by-step explanation:

He can randomize again the players that are receiving the bar and those who are not, and then after that he can see if the results from the previous experiment were accurate or if they happened just by chance. In this way he can make sure that if the results with this two new groups after randomizing are the same that the bar is actually improving the players an edge on performance.

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