Answer:
482
Step-by-step explanation:
We can see that the numbers shown resemble an arithmetic sequence because they have a common difference. The formula for the nth term of an arithmetic sequence is:
Where is the first term, is the nth term, and is the common difference. To find the 61st term, all we need is the first term and the common difference. By looking at what given, we can say the first term is 2. Now, to find the common difference, we find the difference of a term from the term before it. In this case we can do , which is , or the common difference. Since we have everything we need, it can be plugged into the equation:
So, the 61st term is 482.
The probability that exactly 4 of the selected adults believe in reincarnation is 5.184%, and the probability that all of the selected adults believe in reincarnation is 7.776%.
Given that based on a poll, 60% of adults believe in reincarnation, to determine, assuming that 5 adults are randomly selected, what is the probability that exactly 4 of the selected adults believe in reincarnation, and what is the probability that all of the selected adults believe in reincarnation, the following calculations must be performed:
- 0.6 x 0.6 x 0.6 x 0.6 x 0.4 = X
- 0.36 x 0.36 x 0.4 = X
- 0.1296 x 0.4 = X
- 0.05184 = X
- 0.05184 x 100 = 5.184
- 0.6 x 0.6 x 0.6 x 0.6 x 0.6 = X
- 0.36 x 0.36 x 0.6 = X
- 0.1296 x 0.6 = X
- 0.07776 = X
- 0.07776 x 100 = 7.776
Therefore, the probability that exactly 4 of the selected adults believe in reincarnation is 5.184%, and the probability that all of the selected adults believe in reincarnation is 7.776%.
Learn more in brainly.com/question/795909
Answer:
12b+1
Step-by-step explanation:
-4 + 4b + 5 + 8b
12b+1
Answer:
The most precise name for a quadrilateral ABCD is a parallelogram
Step-by-step explanation:
we have
A(2,3) B(7,2) C(6,-1) D(1,0)
Plot the quadrilateral'
using a graphing tool
The quadrilateral ABCD in the attached figure
Verify the length of the sides
the formula to calculate the distance between two points is equal to
step 1
Find distance AB
A(2,3) B(7,2)
substitute
step 2
Find distance BC
B(7,2) C(6,-1)
substitute
step 3
Find distance CD
C(6,-1) D(1,0)
substitute
step 4
Find distance AD
A(2,3) D(1,0)
substitute
step 5
Compare the length sides
AB=CD
BC=AD
Opposite sides are congruent
<em>Verify the slope of the sides</em>
The formula to calculate the slope between two points is equal to
step 1
Find slope AB
A(2,3) B(7,2)
substitute
step 2
Find slope BC
B(7,2) C(6,-1)
substitute
step 3
Find slope CD
C(6,-1) D(1,0)
substitute
step 4
Find slope AD
A(2,3) D(1,0)
substitute
step 5
Compare the slopes
The slope of the opposite sides are equal, that means, opposite sides are parallel
The slopes of consecutive sides are not opposite reciprocal, that means, consecutive sides are not perpendicular
therefore
The most precise name for a quadrilateral ABCD is a parallelogram