A building 64 ft high casts a 288-ft shadow. Sarah casts an 18-ft shadow. The triangle formed by the building and its shadow is

The maximum allowable length related to x is: The peak packaging expense is: The reasonable domain and range values for this function are as follows:

This slope can be described as passing through the origin or more formally, the point (0,0).

Answer:

Step-by-step explanation:

First, we need to calculate how many potential credit card numbers can be created using the digits 0 through 9.

We aim to create a number that consists of 16 digits from a total of 10 digits, therefore:

The total count of possible numbers formed is . However, only 100 million of these are valid (). Let n represent the valid number of combinations.

This leads us to the probability of selecting a valid number:

P(valid) = n / N

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

If we compare the p value to a predetermined significance level we conclude that we cannot reject the null hypothesis, indicating insufficient evidence to assert that the true average is different from 6.6 pounds.

The best conclusion is:

a. Failing to reject the null hypothesis.