Jusst plug in n = 10
so its 5(10) + 100 = 150
Answer:
Step-by-step explanation:
The arithmetic sequence has the form:
When a=10.31, n=9, we substitute to get:
Similarly, when n=13 and a=11.71, we get:
Subtract equation 1 from equation 2 to get:
This implies that
Substitute into the second equation to get:
Solve to get
Hence the explicit formula is:
Answer:
C. 469 in²
Step-by-step explanation:
The net of the object is a rectangle that is 28 inches long and 14 inches wide. Its area is 392 square inches.
In addition, there are two triangles with base 11 inches and height 7 inches. Together, they have the area of a rectangle 7 by 11, or 77 square inches.
The total surface area of the prism is then ...
(392 + 77) in² = 469 in²
_____
The area of a rectangle is the product of its length and width.
The area of a triangle is half the product of its base and height. So, the area of two identical triangles is the product of their base and height.
_____
<em>Comment on the geometry</em>
This geometry cannot exist as shown. The height of the triangular face is closer to 6.454 inches than to 7 inches.
Answer:
a) 0.0016
b) 0.0224
Step-by-step explanation:
If every question has 5 possible answers, the probability of getting the correct answer by guessing would be 0.20. The probability of getting an incorrect answer would be 0.80.
a)Find the probability she lucks out and answers all four questions correctly.
To do this, Allison would have to guess right the first, second, third AND fourth answers. Therefore, we have to multiply the probabilities:
0.20 x 0.20 x 0.20 x 0.20 = 0.0016
The probability that she answers all 4 questions correctly is 0.0016.
b) Find the probability that she passes the quiz.
To pass the quiz, she has to have three OR 4 correct answers:
- The probability that she has 3 correct answers is: 0.20 x 0.20 x 0.20 x 0.80 (since she has to have 1 correct answer and 1 incorrect one) = .0064.
- We already calculated the probability that she guesses 4 answers correctly: 0.0016.
Now, we have to sum up these two scenarios:
0.0064 + 0.016 = 0.0224.
Thus, the probability that she passes the quiz is 0.0224
Answer:4,1x101, 9, 4.1, 2, 0.42, 0.042
Step-by-step explanation: