Answer:
The 26th term of an arithmetic sequence is:

Hence, option A is true.
Step-by-step explanation:
Given
An arithmetic sequence has a constant difference 'd' and is defined by

substituting a₁ = -33 and d = 4 in the nth term of the sequence



Thus, the nth term of the sequence is:

now substituting n = 26 in the nth term to determine the 26th term of the sequence




Therefore, the 26th term of an arithmetic sequence is:

Hence, option A is true.
The last one 7(30)-7(7) because if you do it then it is 7(23) which doesn’t make sense because it is 27 we need to find
Answer:
25.2294 feet
Step-by-step explanation:
We can solve this question drawing a triangle using the values given and then using the law of sines. (See image attached to know how to draw the triangle and use the values).
First we need to find the third angle of the triangle, that is, the angle in the vertix where the bird is:
y + 55 + 63 = 180
y = 62°
The relation between the angles and the distances are:
25 / sin(y) = x / sin(63)
25 / 0.8829 = x / 0.8910
x = 25 * 0.8910 / 0.8829 = 25.2294 feet
Answer:

And for this case we know this condition:

By the complement rule we know that:

But since the distribution is symmetrical we know that:

So then the statement for this case is FALSE.
b. False
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
For this case if we define the random variable of interest X and we know that this random variable follows a normal distribution:

And for this case we know this condition:

By the complement rule we know that:

But since the distribution is symmetrical we know that:

So then the statement for this case is FALSE.
b. False