Problem 1
Answer: Closer to 1
Explanation:
There are 20 gumballs total. Half of this is 20/2 = 10 gumballs. If there's more than 10 of one color, then the probability of getting that color is closer to 1, than it is to 0. Here we have 12 pink which is greater than 10, so that's why the answer is closer to 1.
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Problem 2
Answer: Closer to 0
Explanation:
The amount of green (3) is less than 10, so that's why the probability is closer to 0 than it is to 1. We can see that 3/20 = 0.15 is less than 0.50
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Problem 3
Answer: Closer to 0
Explanation:
We have a similar situation compared to problem 2. This time we have 5/20 = 0.25 which is less than 0.50
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Problem 4
Answer: 48% chance; fairly likely
Explanation:
We have 12 green out of 25 total, so the probability of choosing green is 12/25 = 0.48 = 48%. While this probability is not over 50%, I still say it's fairly likely considering the other colors lead to smaller probabilities. For instance, purple has a chance of 6/25 = 0.24 = 24% and orange has a probability of 2/25 = 0.04 = 4%, both of which are smaller than 48%
Answer:
n^6 is the answer

![\frac{1}{\sqrt[4]{n} } * n^{\frac{25}{4} } = \frac{n^{\frac{25}{4} } }{n^{\frac{1}{4} } } = n^{\frac{25}{4} } - n^{\frac{1}{4} } = n^{6}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Csqrt%5B4%5D%7Bn%7D%20%7D%20%2A%20n%5E%7B%5Cfrac%7B25%7D%7B4%7D%20%7D%20%3D%20%5Cfrac%7Bn%5E%7B%5Cfrac%7B25%7D%7B4%7D%20%7D%20%7D%7Bn%5E%7B%5Cfrac%7B1%7D%7B4%7D%20%7D%20%7D%20%20%3D%20n%5E%7B%5Cfrac%7B25%7D%7B4%7D%20%7D%20-%20n%5E%7B%5Cfrac%7B1%7D%7B4%7D%20%7D%20%3D%20n%5E%7B6%7D)
Step-by-step explanation:
Answer:
3x = 18
x = 6
Step-by-step explanation:
Let's assume x is the variable. There are 3 pairs of pants, hence the 3. The total fee is 18, hence the 18.
Answer:
y =
x + 1
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = 
with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (0, 1) ← 2 points on the line
m =
=
= 
the line crosses the y- axis at (0, 1 ) ⇒ c = 1
y =
x + 1 ← equation of line
Answer:
4x + 6 feet
Step-by-step explanation:
The deck is the shape of a rectangle
Hence, the perimeter of a rectangle is:
P = 2L + 2W
Where
L = Length = x feet
The width of the deck was 3 feet longer than the length.
W = Width = 3 + x feet
Hence:
Perimeter = 2(x ) + 2(3 + x)
Perimeter = 2x + 6 + 2x
Perimeter = 4x + 6 feet
Hence, the expression for the Perimeter of the deck is given as:
4x + 6 feet