Answer:
a. 1/16 which is 6.2500%
b. 15/16 which is 93.7500%
Step-by-step explanation:
a. For each 'coin toss' the probability of getting tails is 1/2. If you toss the coin 4 times, the probability of getting tails all times is 1/2 * 1/2 * 1/2 * 1/2 = 1/16.
b. This one is a bit trickier.
When flipping four coins, you either could get all four heads or you could get at least one tail. Both events cannot happen at the same time. This means the two events are complementary.
Complementary events occur when there are only two outcomes, for example passing an exam or passing an exam. The complement means the exact opposite of an event.
Complementary probabilities always add to 1.
We saw in part (a) that the probability you get all tails is 6.25% or 1/16.
0.0625 was the probability of getting all four heads, so 0.9375 is the probability of anything else (getting one or more tails).
The decimal 0.9375 converts to the fraction 15/16.
The probability is 93.75%.
Answer:
13.994%
Step-by-step explanation:
please kindly check the attached files for explanation
Answer:
1) Option A) is correct
The given rational exponent expression is not simplified correctly as a radical expression is
![x^{\frac{7}{4}}=\sqrt[7]{x^4}](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7B7%7D%7B4%7D%7D%3D%5Csqrt%5B7%5D%7Bx%5E4%7D)
2)Option A) is correct
That is 
Step-by-step explanation:
1) Given that 
![x^{\frac{7}{4}}=\sqrt[4]{x^7}](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7B7%7D%7B4%7D%7D%3D%5Csqrt%5B4%5D%7Bx%5E7%7D)
is the correct answer but in the given problem they gave the RHS as wrong.
Therefore the given rational exponent expression is not simplified correctly as a radical expression is
2)Given that the rational exponent expression is 
To find it as a radical expression:
Therefore
Therefore Option A) is correct
That is
Answer: the diameter of the circle is 226 cm
Step-by-step explanation:
The formula for determining the length of an arc is expressed as
Length of arc = θ/360 × 2πr
Where
θ represents the central angle.
r represents the radius of the circle.
π is a constant whose value is 3.14
From the information given,
Length of arc = 88π
θ = 140 degrees
Therefore,
88π = 140/360 × 2 × π × r
88π = 140/360 × 2 × π × r
Dividing both sides of the equation by π, it becomes
88 = 140/360 × 2r
88 × 360 = 140 × 2r = 280r
280r = 31680
r = 31680/280
r = 113 cm
Diameter = radius × 2
Diameter = 113 × 2 = 226 cm
Answer:
The greatest common factor would be u^2v^5
Step-by-step explanation:
To find the greatest common factor, simply count the lowest number of each term between the two monomials.
For u's, there are 2 in the first term and 4 in the second. So we take out u^2.
For v's, there are 5 in both, so we take out v^5.
