Answer:
6 11/24
Step-by-step explanation:
7 3/24 - 16/24
6 27/24 - 16/24
6 11/24
If ∡A ≡ ∡B ∡C ⇒ ΔABC = equilateral ⇒ AB = BC = AC
3x - 5 = 2x + 20
(AB) (BC)
3x - 2x = 20 + 5
x = 25
Answer:
a. 0.00069
b. 0.063
c.0.00095
Step-by-step explanation:
a. Probability that exactly 5 men consider themselves professional baseball fans:-
Here, there's a 63/100 or 63% possiblity that five (5) men consider themselves fans and of course, a 37/100 possibility that the other 5 men consider themselves non fans. Each of these must be multiplied and then the result will be the probability that exactly five men consider themselves baseball fans:-
(63/100)^5 × (37/100)^5
= 0.09924 × 0.006934
= 0.000688
Therefore the probability that 5 consider themselves baseball fans is 0.00069
b. The probability that at least 6 are fans:-
In this case, each of the 6 men have some 63/100 or 63% possibility of being a fan.
We therefore multiply 63/100 by itself up to six times
i.e 63/100 × 63/100 × 63/100 × 63/100 × 63/100 × 63/100
or (63/100)^6
= 0.06252
The probability that at least 6 men consider themselves professional baseball fans is 0.063
c. Probability that less than four consider themselves baseball fans:-
In this scenario, it means that at least 7 men out of the ten do not consider themselves professional baseball fans. We then simply multiply 37/100 by itself up to seven times. It isn't too necessary what the remaining three are.
= (37/100)^7
= 0.0009493
Therefore the possibility that less than four men do not consider themselves baseball fans is 0.00095
Answer:
Step-by-step explanation:
Which expression represents [⁵√(−21)]⁶ in rational exponent form?
Solution:
Rational numbers are numbers which can be expressed as fractions in the form a / b, where a, b are integers and b is not equal to zero.
A rational exponent is an exponent that is a fraction. For example √2 = 
.
When expressing a number in rational exponent form, the numerator of the fractional exponent refers to a normal power, but the denominator refers to the root.
![[\sqrt[5]{(-21)}]^6 = (-21)^\frac{6}{5}](https://tex.z-dn.net/?f=%5B%5Csqrt%5B5%5D%7B%28-21%29%7D%5D%5E6%20%20%3D%20%28-21%29%5E%5Cfrac%7B6%7D%7B5%7D)
