Bernardo and Ogechi were asked to find an explicit formula for the sequence 1\,,\,8\,,\,64\,,\,512,...1,8,64,512,...1, comma, 8,
MatroZZZ [7]
Answer:
will be the correct formula for the given sequence.
Step-by-step explanation:
The given sequence is 1, 8, 64, 512...........
The given sequence is a geometric sequence having a common ratio (r) of
r = 
r = 
Since explicit formula of a geometric sequence is given by
where 
= nth term of the sequence
a = first term of the sequence
r = common ratio of the successive term to the previous term
Now we plug values of a and r in the formula to get the explicit formula for the given sequence.
Therefore, if Bernardo is saying that the formula of the sequence is
h(n) = 
then he is correct.
Answer:
The angle of rotation is 2.11 °
Step-by-step explanation:
Given as :
The radius of the round path = r = 18 feet
The length of the distance cover by wheel = l = 38 feet
Let The angle of rotation = Ф
Now, According to question
∵ length of the arc of a circle subtending an angle at center = Ф
So,
length of the distance cover by wheel = π × radius × 
Since 180° = π radian
And π = 3.14
So, length of the distance cover by wheel = 180 °× radius ×
i.e l = r × Ф
Or, Ф = 
Or, Ф = 
Or, Ф = 2.11 °
So, The angle of rotation = Ф = 2.11 °
Hence, The angle of rotation is 2.11 ° Answer
Answer:
0.60
Step-by-step explanation:
Use binomial probability.
P = nCr pʳ qⁿ⁻ʳ
where n is the number of trials,
r is the number of successes,
p is the probability of success,
and q is the probability of failure (1−p).
The probability of a mistake on at least one page is 1 minus the probability of making no mistakes.
P(at least 1) = 1 − P(none)
P = 1 − ₁₁C₀ (0.08)⁰ (0.92)¹¹⁻⁰
P = 1 − (0.92)¹¹
P = 0.60
Answer: Both students are correct.
Explanation:
In rotation a shape is rotated about a fixed point and it does not affect its measurements. it only changes its position.
Now, When Marcus rotated the 
about point S then this process did not affect its shape and size this is why he got the 
which is congruent to the .
In reflection, when a shape reflected across a line then its all points get reflected across this line. But it also does not affect the measurement of the shape.
So, when Sam mapped by the reflection of then the measurement of the did not change. And, he also got the congruent triangle.
Thus, we can say that, Both Marcus and Sam are right.
Answer:
The confidence interval for the difference in proportions is
No. As the 95% CI include both negative and positive values, no proportion is significantly different from the other to conclude there is a difference between them.
Step-by-step explanation:
We have to construct a confidence interval for the difference of proportions.
The difference in the sample proportions is:
The estimated standard error is:
The z-value for a 95% confidence interval is z=1.96.
Then, the lower and upper bounds are:
The confidence interval for the difference in proportions is
<em>Can it be concluded that there is a difference in the proportion of drivers who wear a seat belt at all times based on age group?</em>
No. It can not be concluded that there is a difference in the proportion of drivers who wear a seat belt at all times based on age group, as the confidence interval include both positive and negative values.
This means that we are not confident that the actual difference of proportions is positive or negative. No proportion is significantly different from the other to conclude there is a difference.
