Question

An experiment is conducted with a coin. The results of the coin being flipped twice 200 times is shown in the table.

Outcome Frequency
Heads, Heads 40
Heads, Tails 75
Tails, Tails 50
Tails, Heads 35


What is the P(No Tails)?
20%
25%
50%
85%

What is the slope of the line that contains the points (−3, −1) and (3, −10)?

Undefined
0
negative two thirds
negative three halves
A scatter plot is shown on the coordinate plane.

scatter plot with points plotted at 1 comma 7, 1 comma 8, 2 comma 9, 3 comma 6, 4 comma 8, 5 comma 5, 5 comma 6, 6 comma 7, 7 comma 5, 8 comma 7, 9 comma 4, and 10 comma 2

Which of the following graphs shows a line on the scatter plot that fits the data?

scatter plot with points plotted at 1 comma 7, 1 comma 8, 2 comma 9, 3 comma 6, 4 comma 8, 5 comma 5, 5 comma 6, 6 comma 7, 7 comma 5, 8 comma 7, 9 comma 4, and 10 comma 2, with a line drawn through about 3 comma 6 and 5 comma 6
scatter plot with points plotted at 1 comma 7, 1 comma 8, 2 comma 9, 3 comma 6, 4 comma 8, 5 comma 5, 5 comma 6, 6 comma 7, 7 comma 5, 8 comma 7, 9 comma 4, and 10 comma 2, with a line drawn through about 2 comma 9 and 6 comma 7
scatter plot with points plotted at 1 comma 7, 1 comma 8, 2 comma 9, 3 comma 6, 4 comma 8, 5 comma 5, 5 comma 6, 6 comma 7, 7 comma 5, 8 comma 7, 9 comma 4, and 10 comma 2, with a line drawn through about 1 comma 7 and 3 comma 6
scatter plot with points plotted at 1 comma 7, 1 comma 8, 2 comma 9, 3 comma 6, 4 comma 8, 5 comma 5, 5 comma 6, 6 comma 7, 7 comma 5, 8 comma 7, 9 comma 4, and 10 comma 2, with a line drawn through about 1 comma 8 and 7 comma 5

Triangle ABC ~ triangle DEF.

triangle ABC with side AB labeled 11, side CA labeled 7.6 and side BC labeled 7.9 and a second triangle DEF with side DE labeled 3.3

Determine the measurement of FD.

FD = 1.1
FD = 1.39
FD = 2.28
FD = 2.37

Answer 1

For the first question, the probability of getting no tails in two coin flips is the probability of getting two heads, which is given in the table as 40/200 = 0.2, or 20%.

For the second question, we can use the slope formula:

slope = (y2 - y1)/(x2 - x1)

Plugging in the coordinates, we get:

slope = (-10 - (-1))/(3 - (-3)) = -9/6 = -3/2

So the slope of the line is negative three halves.

For the third question, the scatter plot points do not appear to lie on a perfectly straight line, but a line that fits the data could be drawn through points around (3,6) and (5,6). Therefore, the first graph (with a line drawn through about 3,6 and 5,6) shows a line on the scatter plot that fits the data.

For the fourth question, we can use the properties of similar triangles to find FD. The ratio of corresponding side lengths in similar triangles is equal. Therefore, we can write:

AB/DE = BC/EF = CA/FD

Plugging in the values, we get:

11/3.3 = 7.9/EF = 7.6/FD

Solving for FD, we get:

FD = (7.6*3.3)/11 = 2.28 (rounded to two decimal places)

Therefore, FD is 2.28 units long.