Which spinner represents a uniform probability model?
Remember a uniform probability has outcomes that have the same theoretical probability
(1 point)
Responses
Spinner A
Spinner A
Spinner B
Spinner B
Spinner C
Spinner C
Spinner D
Spinner D
Spinner C
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
110
Explanation:
Out of the 100 students surveyed, 20 liked mathematics. This means that 20% of the students liked mathematics. Since it is assumed that the new 200 students will have a similar distribution of preferences, you would expect 20% of the 200 new students to also like mathematics.
20% of 200 = 0.20 * 200 = 40
Therefore, you would expect 40 of the new 200 students to like mathematics.
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
Based on the table, the proportion of white balls selected from Bowl A and Bowl B is 1:3.
Since there are 36 balls in Bowl A, if we assume the same proportion holds, we can estimate the number of white balls in Bowl A as follows:
(1/4) * 36 = 9
Therefore, you would estimate that there are 9 white balls in Bowl A.
So, the correct response is:
9
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
Since the spinner has 6 equal sections, all outcomes are equally likely. Therefore, all pairs of outcomes are equally likely.
So, the outcomes that are equally likely are:
- red and blue
- red and green
- red and yellow
- red and black
- red and white
All pairs are equally likely because each section of the spinner has an equal chance of being landed on.
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
To simplify the given equation, we first need to distribute the negative sign in front of the parentheses.
11x - 2 + x = 51
11x - 2 + x = 51
12x - 2 = 51
12x = 51 + 2
12x = 53
Therefore, the equivalent equation is 12x = 53.
So, the correct response is:
12x=53
Ginger and her friends have saved $5000 for an upcoming vacation. They plan to spend 25
on travel and lodging and 14
of the remainder on meals. How much money will Ginger and her friends have to spend on meals?(1 point)
Responses
$500
$500
$750
$750
$1250
$1250
$2000