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1a) 67.2 kg

1b) 66.5 kg

1c) 64 kg, 68 kg

2a) Mean = 58.1m, Median = 55m, Mode = 49m

2b) The mode is not a good measure since all data except 49m appeared twice i.e. the data set is quite distributed. (sorry I am not very sure with this answer)

3a) Independent variable is time, Dependent variable is distance.

3b) See attachment.

3c) Linear

3d) 2.5s: 10m 6.25s: 25m 8s: 32m

3e) 3m: 0.75s 21m: 5.25s. 36m: 9s.

Step-by-step explanation:

1a) Mean = (74+71+68+84+54+60+64+68+65+64)/10 kg = 67.2 kg

1b) Sort the data in ascending order (in kg).

54 60 64 64 65 68 68 71 74 84

Median = (65+68)/2 kg = 66.5 kg

1c) Mode = 64 kg, 68 kg (both appeared twice)

2a) Mean = (45+52+47+55+62+80+71+60+84+57+46+50+48+61+49+63+54+49+72)/19 m =  58.1m (correct to 1 decimal place)

Arrange the data in ascending order (in m).

45 46 47 48 49 49 50 52 54 55 57 60 61 62 63 71 72 80 84

Median = 55m

Mode = 49m (appeared twice)

2b) See answer.

3a) Independent variable is the variable that is to be changed. Dependent variable is the variable that is to be measured.

3b) Just plot the graph.

3c) Distance = 4 x time

3d) 2.5 x 4 = 10m. 6.25 x 4 = 25m. 8 x 4 = 32m.

3e) 3/4=0.75s. 21/4=5.25s. 36/4=9s.

22 dimes and 9 nickels

step-by-step explanation:

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.