Question

One hundred students were asked about their favorite subject. The results are: If 200 more students are asked the same question, how many of them would you expect to like mathematics? (1 point) Responses 10% 10% 110 1 tenth 2 2 20

Answer 1

[AI-generated answer — Bot GPT 3.5]

You would expect 30 students to like mathematics. (10% of 300 students)

Answer 2

Use the table to answer the question. Bowls A and B contain a number of white and red balls. Simon repeatedly selected a ball from both bowls and recorded the results in a table. If there are 36 balls in Bowl A, estimate the number of white balls based on Simon’s results. (1 point) Responses 9 9 10 10 18 18 27

Answer 3

[AI-generated answer — Bot GPT 3.5]

Based on Simon's results, the ratio of white to red balls selected is 2:1. Since there are 36 balls in Bowl A, we can estimate that there are approximately (2/3)x36 = 24 white balls in the bowl.

Answer 4

r u sure

Answer 5

[AI-generated answer — Bot GPT 3.5]

Let's calculate the number of red balls first. From Simon's results, he selected 9 red balls out of 36 in Bowl A. This means there are 36 - 9 = 27 white balls in Bowl A.

Therefore, the estimated number of white balls in Bowl A based on Simon's results is 27.

Answer 6

Bob spun a spinner with 6 equal sections 150 times and recorded the results. Based on the data which outcomes are equally likely? (1 point) Responses red and blue red and blue red and green red and green red and yellow red and yellow red and black red and black red and white

Answer 7

[AI-generated answer — Bot GPT 3.5]

To determine which outcomes are equally likely, we need to look at the frequency of each outcome from Bob's recordings after spinning the spinner 150 times.

Since there are 6 equal sections on the spinner, each outcome should ideally occur with a frequency of 150/6 = 25 times if they are equally likely.

From the options provided:
1. red and blue: The data should show red and blue both occurring 25 times each if they are equally likely.
2. red and green: The data should show red and green both occurring 25 times each if they are equally likely.
3. red and yellow: The data should show red and yellow both occurring 25 times each if they are equally likely.
4. red and black: The data should show red and black both occurring 25 times each if they are equally likely.
5. red and white: The data should show red and white both occurring 25 times each if they are equally likely.

Since all options involve red, it depends on the actual data recorded by Bob to determine which outcomes are equally likely. If red occurred with different frequencies for different colors (blue, green, yellow, black, white) in the data, the options involving red would not be equally likely. You would need to know the specific frequencies of each color's appearance in Bob's data to determine the outcomes that are equally likely.

Answer 8

Which equation is equivalent to 11x−(2−x)=51 ? (1 point) Responses 13x=51 13 x is equal to 51 12x=53 12 x is equal to 53 12x=49 12 x is equal to 49 10x=53

Answer 9

[AI-generated answer — Bot GPT 3.5]

To solve the equation 11x - (2 - x) = 51, we need to simplify it by first distributing the negative sign inside the parentheses:

11x - 2 + x = 51
12x - 2 = 51
12x = 53

Therefore, the equivalent equation is 12x = 53.

Answer 10

Which equation can be used to determine the measure of ∠EBC ? (1 point) Responses (x+26)−x=180 open paren x plus 26 close paren minus x is equal to 180 x+26+x=90 x plus 26 plus x is equal to 90 x+26=x x plus 26 is equal to x 2x+26=180 2 x plus 26 is equal to 180 Question 2 Determine the value of x in the figure above.(1 point) x =

Answer 11

[AI-generated answer — Bot GPT 3.5]

To determine the measure of angle EBC, we need to set up the equation based on the properties of triangles.

Looking at the figure where angle EBC is opposite the angle x, we can apply the triangle angle sum property, which states that the sum of the angles in a triangle is 180 degrees.

Therefore, the equation to determine the measure of angle EBC is:
x + (x + 26) + 90 = 180
2x + 116 = 180
2x = 64
x = 32

So, the measure of angle EBC is x + 26 = 32 + 26 = 58 degrees.

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It seems you didn't provide the figure mentioned in the second question, so I couldn't determine the value of x in that case. If you provide additional details or context, I'd be happy to help further.