Answer:
49.865%
Step-by-step explanation:
Given that:
μ = 4 ; σ = 1
For x = 4
P(x < 4) :
Z score (x - μ) / σ
P(x < 7) - P(x < 4)
((7 - 4) / 1) - ((4 - 4) / 1)
P(Z < 3) - P(Z < 0)
Usibg the Z probability calculator :
0.99865 - 0.5
= 0.49865
= 0.49865 * 100
= 49.865%
<h3>
Answer: 6</h3>
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Explanation:
Rule: If a set has n elements in it, then it will have 2^n subsets.
For example, there are n = 3 elements in the set {a,b,c}. This means there are 2^n = 2^3 = 8 subsets. The eight subsets are listed below.
- {a,b,c} .... any set is a subset of itself
- {a,b}
- {a,c}
- {b,c}
- {a}
- {b}
- {c}
- { } ..... the empty set
Subsets 2 through 4 are subsets with exactly 2 elements. Subsets 5 through 7 are singletons (aka sets with 1 element). The last subset is the empty set which is a subset of any set. You could use the special symbol 
to indicate the empty set.
For more information, check out concepts relating to the power set.
-------------------
The problem is asking what value of n will make 2^n = 64 true.
You could guess-and-check your way to see that 2^n = 64 has the solution n = 6.
Another approach is to follow these steps.
Which is fairly trivial.
Or you can use logarithms to solve for the exponent.
Due to rounding error, we don't land exactly on 6 even though we should.
(6, 7) and (-3, -2)
1. Find the slope.
m = slope
m = (-2 -7)/(-3 -6)
m = -9/-9
m = 1
2. Plug the slope and one of the points into the equation y - y_1 = m(x - x_1).
y - 7 = 1(x - 6)
3. Solve for y.
y - 7 = x - 6
y = x - 6 + 7
y = x + 1
Answer is choice D.
Answer:
C. The total number of movies watched categorized by science fiction vs. non-science fiction
Step-by-step explanation:
A stacked bar chart is a type of graph that is mostly used to simplify multiple parts and compare them as a whole.
It uses different "bars" and each bar represents one part of the whole and segments of that bar show the different parts or categories of the whole.
Consider option A
In this option, the total average height of men and women cannot be considered as a whole. Therefore, the stacked chart cannot be used.
Consider option B
In this option, the totak number of red cars and bicycles cannot be considered as a whole because cars and bicycles are two different kinds of sets.
Consider option C
Here, the total number of movies watched categorized by science fiction and non-science fiction can be considered a whole because science and non-science fiction movies are the same sets of data and they add up to the total number of movies.
Hence, a stacked graph is appropriate here.
Option C is the correct answer
