Hello,
| 2 k|
|4 -9 |=6
==>2*(-9)-4*k=0
==>k=-9/2
Answer:
3(x+8)
Step-by-step explanation:
Answer:
The probability that he answered neither of the problems correctly is 0.0625.
Step-by-step explanation:
We are given that a student ran out of time on a multiple-choice exam and randomly guess the answers for two problems each problem have four answer choices ABCD and only one correct answer.
Let X = <u><em>Number of problems correctly answered by a student</em></u>.
The above situation can be represented through binomial distribution;
where, n = number of trials (samples) taken = 2 problems
r = number of success = neither of the problems are correct
p = probability of success which in our question is probability that
a student answer correctly, i.e; p =
= 0.75.
So, X ~ Binom(n = 2, p = 0.75)
Now, the probability that he answered neither of the problems correctly is given by = P(X = 0)
P(X = 0) = 
= 
= <u>0.0625</u>
Answer:
∅ = 67.71°
Step-by-step explanation:
The flag pole is 20 ft tall is casting a shadow that is 8.2 ft long .At what angle is the sun hitting the ground. The illustration forms a right angle triangle.
The right angle triangle has an hypotenuse, opposite and adjacent sides. The flag height forms the opposite side. The shadow forms the adjacent side . The angle the sun is hitting the ground can be using SOHCAHTOA principle.
using Tan
tan ∅ = opposite / adjacent
tan ∅ = 20/8.2
tan ∅ = 2.4390243902
∅ = tan⁻¹ 2.4390243902
∅ = 67.7063708403
∅ = 67.71°
Step-by-step explanation:
area (S) = base x height, so 2.7 × 7.3 which would be 19.71 inch²