Answer:
The probability that she gets all 7 questions correct is 0.0078.
Step-by-step explanation:
We are given that Karri takes a 7 question true-false test and guess on every question.
The above situation can be represented through binomial distribution;
where, n = number of samples (trials) taken = 7 question
r = number of success = all 7 questions correct
p = probability of success which in our question is probability that
question is correct, i.e. p = 50%
Let X = <u><em>Number of question that are correct</em></u>
So, X ~ Binom(n = 7, p = 0.50)
Now, the probability that she gets all 7 questions correct is given by = P(X = 7)
P(X = 7) = 
= 
= <u>0.0078</u>
Answer:
A. BC ≈ 2.52; AB ≈ 1.28; m∠C = 27°
B. BC ≈ 1.28; AB ≈ 2.52; m∠C = 27°
C. BC ≈ 2.52; AB ≈ 1.28; m∠C = 117°
D. BC ≈ 1.28; AB ≈ 2.52; m∠C = 117°
Answer:
$17.85792
Step-by-step explanation:
$0.4544 x 39.3 = $17.85792
Answer:
Step-by-step explanation:
We can use the Polynomial Remainder Theorem. It states that if we divide a polynomial P(x) by a <em>binomial</em> in the form (x - a), then our remainder will be P(a).
We are dividing:
So, a polynomial by a binomial factor.
Our factor is (x + k) or (x - (-k)). Using the form (x - a), our a = -k.
We want our remainder to be 3. So, P(a)=P(-k)=3.
Therefore:
Simplify:
Solve for <em>k</em>. Subtract 3 from both sides:
Factor:
Zero Product Property:
Solve:
So, either of the two expressions:
Will yield 3 as the remainder.
Answer:
∠ B ≈ 66.42°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos B = 
= 
= 
, thus
B = 
( ) ≈ 66.42° ( to the nearest hundredth )
