The equation r = 6t gives the number of albums released, r, by a record label over time in years, t. If you graph this relations

Answer:

Option C: 0.28

Detailed explanation:

This situation presents a binomial probability distribution.

We need to determine the likelihood that at least 2 thumbtacks land point up out of 5 tossed ones. This can be expressed as;

P(X ≥ 2) = P(2) + P(3) + P(4) + P(5)

Referring to the histogram;

P(5) = 0.02

P(4) = 0.02

P(3) = 0.05

P(2) = 0.19

Consequently;

P(X ≥ 2) = 0.19 + 0.05 + 0.02 + 0.02

P(X ≥ 2) = 0.28

Response:    ∠B = 42°   ∠A = 23°  ∠F = 115°

Detailed explanation:

∠B is congruent to ∠C  alternate interior angles  42°

  ∠CDF is supplementary to ∠CDE,

thus m∠CDF = 23°  and ∠FAB is congruent to ∠CDF therefore m∠FAB= 23°

also ∠A is congruent to ∠CDE  corresponding angles  157° ∠FAB is supplementary to ∠A

which leads to 180 - 157 = 23 giving m∠FAB

The sum of angles in a triangle amounts to 180°, so m∠AFB = 180 -(23 +42)

This results in 180- 65 = 115 = m∠F

Answer:

Attached is the histogram illustrating the marathon runners’ times.

Step-by-step explanation:

The provided data is as follows;

2.21

2.25

2.76

3.1

3.3

3.5

3.6

3.77

3.8

4.23

4.25

4.25

4.6

4.9

From this data, we can determine;

The count of runners finishing between 0 and 1 hour = 0

The count of runners finishing between 1 and 2 hours = 0

The count of runners finishing between 2 and 3 hours = 3

The count of runners finishing between 3 and 4 hours = 6

The count of runners finishing between 4 and 5 hours = 5

Based on these frequencies across the various time ranges, the histogram for the provided data has been constructed and is attached.