T = -20 so
t+1= -20 + 1
= -19
Answer:
432 pages.
Step-by-step explanation:
We know Madison reads 24pgs/ per day. She reads for nine days, so she reads 24*9 pages, or 216.
We know also that this is halfway through her book, so 2*216= the whole book, so the book has 432 pages
Answer:
(3a + 2b)3
Step-by-step explanation:
STEP
1 :
Equation at the end of step 1
(((27•(a3))+((54•(a2))•b))+(36a•(b2)))+23b3
Step 2:
(((27•(a3))+((54•(a2))•b))+(22•32ab2))+23b3
Step 3:
(((27•(a3))+((2•33a2)•b))+(22•32ab2))+23b3
Step 4:
((33a3 + (2•33a2b)) + (22•32ab2)) + 23b3
Step 5:
Factoring: 27a3+54a2b+36ab2+8b3
Using the binomial distribution, it is found that there is a 0.4096 = 40.96% probability that he answers exactly 1 question correctly in the last 4 questions.
<h3>What is the binomial distribution formula?</h3>
The formula is:


The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
Considering that there are 4 questions, and each has 5 choices, the parameters are given as follows:
n = 4, p = 1/5 = 0.2.
The probability that he answers exactly 1 question correctly in the last 4 questions is P(X = 1), hence:


0.4096 = 40.96% probability that he answers exactly 1 question correctly in the last 4 questions.
More can be learned about the binomial distribution at brainly.com/question/24863377
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The third side of triangle ABC is AB. Using the Pythagorean Theorem, its length is 12.
12² + 16² = 20²
∠F is congruent to ∠C and so the sin(∠F) = sin(∠C)
The sin(∠C) = opposite/hypotenuse
= |AB| / |AC|
= 12/20
= 3/5
= 0.6
Answer:
Yes, it is 0.6