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>
2/3x -14/3 = -2 -foiled
2/3x = -6/3 +14/3 -common denominator
2/3x = 8/3
x = 8/3 * 3/2
x = 24/6
x= 4
Hello from MrBillDoesMath!
Answer:
See below
Discussion:
Triangles BAD and BCD are congruent by the SAS postulate.
* Side AD = DC because BD is the perpendicular bisector of AC.
* Angle ADB and CDB are both right angles, and hence equal, because
BD is the perpendicular bisector of AC)
Corresponding parts of congruent triangles are equal so angle BAD = angle BCD, which was to be proven.
Regards,
MrB
Answer:
$71.40
Step-by-step explanation:
Turn the percentage 30 to a decimal, which is 0.3 then multiply it by 238 to get 71.4
From this picture you can calculate coordinates of triangles' vertices:

.
Since
you can conclude that points A, B, C are rotated by

about the point (-0.5,0) to form points J, G, H, respectively.
Answer: A is correct choice.