Answer:
there are 6 dogs
Step-by-step explanation:
x = dogs
x= 2 + 4
x = 6
Answer:
a) 20.61%
b) 21.82%
c) 42.36%
d) 4 withdrawals
Step-by-step explanation:
This situation can be modeled with a binomial distribution, where p = probability of “success” (completing the course) equals 80% = 0.8 and the probability of “failure” (withdrawing) equals 0.2.
So, the probability of exactly k withdrawals in 20 cases is given by

a)
We are looking for
P(0;20)+P(0;1)+P(0;2) =

0.0115292150460685 + 0.0576460752303424 + 0.136909428672063 = 0.206084718948474≅ 0.2061 or 20.61%
b)
Here we want P(20;4)

c)
Here we need

But we already have P(0;20)+P(0;1)+P(0;2) =0.2061 and

d)
For a binomial distribution the <em>expectance </em>of “succeses” in n trials is np where p is the probability of “succes”, and the expectance of “failures” is nq, so the expectance for withdrawals in 20 students is 20*0.2 = <em>4 withdrawals.</em>
9514 1404 393
Answer:
- ∠PTQ = 45°
- ∠QTR = 15°
- ∠PTS = 120°
Step-by-step explanation:
Parallelogram PTSR is divided into two equilateral triangles by diagonal RT. All of the acute angles in that quadrilateral are 60°, and the obtuse angles are 120° (2×60° and also the supplement of 60°).
Triangle PTQ is an isosceles right triangle, so its acute angles are 45°.
∠PTQ = 45°
∠QTR = ∠PTR -∠PTQ = 60° -45°
∠QTR = 15°
∠PTS = 120° . . . . . . obtuse angle in PTSR; sum of ∠PTR and ∠RTS
Answer:
0.333333 yards in a foot
Step-by-step explanation:
Answer: 44.6cm³
The formula is
.
Since the formula had π (pi) pi is 3.14.
The radius is the line inside the sphere.
That being said, the radius is 2.2, so the line is 2.2 long.
Now, let's solve.
4/3 × 3.14 = 4.186 → 4.19
4.19 × 2.2³ = 44.6
Hence, 44.6 is the answer.