A store has a bargain bin filled with red (R), blue (B), pink (P), and yellow (Y) shirts in sizes small (S) and large (L). Which outcomes are possible when randomly pulling one shirt from the bin?
A {S, L}
B {R, B, P, Y}
C {RS, BS, PS, YS}
D {RS, RL, BS, BL, PS, PL, YS, YL}
The correct answer is B {R, B, P, Y}.
The possible outcomes when randomly pulling one shirt from the bin are:
- Red shirt (R)
- Blue shirt (B)
- Pink shirt (P)
- Yellow shirt (Y)
The size of the shirt (S or L) is not included in the possible outcomes, so options A, C, and D are incorrect.
so B?
Yes, the correct answer is B {R, B, P, Y}.
Ellie is buying a camera for $615.50 and a camera bag is $65.50. If the sales tax rate is 8%, what will be the amount of sales tax on Ellie's purchase?
Responses
A $35.26$35.26
B $40.58$40.58
C $54.48$54.48
D $58.72
To calculate the amount of sales tax on Ellie's purchase, we need to multiply the total cost by the sales tax rate. The total cost of the camera and the camera bag is $615.50 + $65.50 = $681.
The sales tax rate is 8%, so to find the sales tax amount, we multiply $681 by 8%:
$681 * 8% = $54.48
Therefore, the amount of sales tax on Ellie's purchase is $54.48.
The correct answer is C. $54.48.
A model of a football field and track is shown. The model is composed of a rectangle for the football field and 2 rectangles and 2 semi-circles for the track.
Which measurement is the best estimate of the area of land needed for the entire football field and track?
Responses
A 7,353 m27,353 m 2
B 15,242 m215,242 m 2
C 11,548 m211,548 m 2
D 9,624 m2
Unfortunately, I cannot see the image of the model you are referring to. Please provide a detailed description of the model, including the dimensions of the football field and track, so that I can assist you in finding the best estimate of the area of land needed.
An igloo has a circular floor with a radius of 3 yards. What is the floor’s circumference?
Responses
A 9.42 yds9.42 yds
B 7.965 yds7.965 yds
C 18.84 yds18.84 yds
D 113.04 yds
To find the circumference of the circular floor of the igloo, you can use the formula for the circumference of a circle:
Circumference = 2πr
where r is the radius of the circle.
In this case, the radius of the circular floor is given as 3 yards. Plugging that value into the formula, you get:
Circumference = 2π(3) = 6π ≈ 18.85
Therefore, the best estimate for the floor's circumference is 18.84 yards, which is option C.
The table shows the distance, y, an African tiger beetle can travel in meters in x seconds.
Speed of an African Tiger Beetle
Time, x (seconds) Distance, y (meters)
5 12.5
10 25.0
15 37.5
20 50.0
25 62.5Based on information in the table, which equation can be used to model the relationship between x and y?
Responses
A y = 2.5xy = 2.5 x
B y = x + 7.5y = x + 7.5
C y = x + 2.5y = x + 2.5
D y = 5x
To determine the equation that models the relationship between x (time in seconds) and y (distance in meters) based on the table, we need to look for a pattern or relationship between the two variables.
By observing the given values in the table, we can see that the distance travelled (y) is directly proportional to the time (x). Each time value is multiplied by 2.5 to determine the corresponding distance value.
Therefore, the equation that models the relationship between x and y is:
y = 2.5x
Hence, the correct answer is A. y = 2.5x.
Stacy and Clinton are setting up the community center for a freshman orientation. They set up 8 rectangular tables with 6 chairs each and 5 round tables with 4 chairs each. The chairs are randomly numbered starting with 1 and the freshman will be randomly assigned a seat number.
What is the probability that the first freshman to arrive will be seated at a round table?
Responses
A
12
1712 17
B
5
135 13
C
1
201 20
D
5
17
To find the probability that the first freshman to arrive will be seated at a round table, we need to determine the total number of seats and the number of seats at round tables.
The total number of seats can be found by multiplying the number of rectangular tables by the number of chairs per rectangular table, and adding it to the product of the number of round tables and the number of chairs per round table.
Total number of seats = (8 tables * 6 chairs per table) + (5 tables * 4 chairs per table) = 48 + 20 = 68 seats
The number of seats at round tables is 5 tables * 4 chairs per table = 20 seats.
Therefore, the probability that the first freshman to arrive will be seated at a round table is:
Probability = Number of seats at round tables / Total number of seats = 20 / 68
To simplify the fraction, we can divide both the numerator and denominator by 4:
Probability = (20 / 4) / (68 / 4) = 5 / 17
So the probability is 5/17.
The correct answer is D. 5/17.