Answer:
The possible values for X is: 
Yes, it is a discrete random variable.
Step-by-step explanation:
Consider the provided information.
We need to determine whether the variable is discrete or not.
Discrete variables are which can only take on a finite number of values.
Let the variable X be the number of unbroken eggs in a randomly chosen standard egg carton.
In a standard egg carton we can put 12 eggs.
Therefore, the possible values for X is:
The number of unbroken eggs (X) can take infinite values, thus by the above definition it is a discrete random variable.
Answer:
170 muffins
Step-by-step explanation:
We start from the ratio between baker B and C
The ratio of cakes baked by both is 4:3.
We know baker C baker 150 muffins:
This mathematically means:
B:C = 4:3 = B:150
This means 4/3 = B/150
B = (4 * 150)/3 = 200
Baker B baked 200 cakes
We now move back to the first statement
The ratio between baker A and B is 8:5
Mathematically, this means:
A:B = 8:5 = A:200
8/5 = A/200
A = (8 * 200)/5 = 320
The number of cakes baker A baker pass baker C would be 320 - 150 = 170 muffins
The answer is 15 in³.
The volume of the cone is:
where:
V₁ - the volume of the cone
r₁ - the radius of the cone
h₁ - the height of the cone
The volume of the cylinder is:
where:
V₂ - the volume of the cone
r₂ - the radius of the cone
h₂ - the height of the cone
Since <span>the cone fits exactly inside of the cylinder, they have the same radius and the height:
r</span>₁ = r₂
h₁ = h₂
Also:
V₁ = 5
Now, let's write two volume formulas together:
<span>
</span>
We can include V₂ into V₁:
⇒
Answer:
P(A or B) = 25%
Step-by-step explanation:
P(A and B) = 30%
P(A) = 40%
P(B) = 15%
Apply given formula:
P(A or B) = P(A) + P(B) - P(AB)
= 40%+15+-30%
= 25%
Answer:
C: Xint = 2, Yint. = -7
Step-by-step explanation:
Given the equation, 2x - 7y = -14:
The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates (0, b). It is also the value of y when x = 0. To solve for the y-intercept, set x = 0:
2x - 7y = -14
2(0) - 7y = -14
0 - 7y = -14
-7y = -14
Divide both sides by -7 to solve for y:
-7y/-7 = -14/-7
y = 2
Therefore, the y-intercept = 2.
Next, the x-intercept is the point on the graph where it crosses the x-axis, and has coordinates, (a, 0). To find the x-intercept, set y = 0 and substitute into the given equation:
2x - 7y = -14
2x - 7(0) = -14
2x - 0 = -14
2x = -14
Divide both sides by 2 to solve for x:
2x/2 = -14/2
x = -7
x-intercept = -7.
Therefore, the correct answer is C: Xint = 2, Yint. = -7
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