Response:

Step-by-step explanation:
1. The line includes the points (34,12) and (32,48). Then, apply the slope formula, which is:

2. By substituting values into the formula, you will get:


Answer:
(A) 0.15625
(B) 0.1875
(C) Cannot be determined
Step-by-step explanation:
The time it takes for a student to finish a statistics quiz is uniformly distributed between 32 and 64 minutes.
Let's denote X as the duration needed for the student to complete the statistics quiz
Thus, X ~ U(32, 64)
The probability density function (PDF) for a uniform distribution is expressed as;
f(X) =
, a < X < b where a = 32 and b = 64
The cumulative distribution function (CDF) is given by P(X <= x) =
(A) The probability of a student taking longer than 59 minutes to complete the quiz = P(X > 59)
P(X > 59) = 1 - P(X <= 59) = 1 -
= 1 -
=
= 0.15625
(B) The probability that a student completes the quiz between 37 and 43 minutes = P(37 <= X <= 43) = P(X <= 43) - P(X < 37)
P(X <= 43) =
=
= 0.34375
P(X < 37) =
=
= 0.15625
P(37 <= X <= 43) = 0.34375 - 0.15625 = 0.1875
(C) The probability that a student takes exactly 44.74 minutes to complete the quiz
= P(X = 44.74)
This probability cannot be calculated as it is a continuous distribution, which doesn't provide probabilities for specific points.
$13 because Isabella will receive $104, resulting in a ratio of 1:8.
Answer:
P=x/2.2
Step-by-step explanation:
We can set up an equation to solve this.
Let P represent the number of pounds
Let X represent the number of kilograms
Knowing that 1 kilogram equals 2.2 pounds.
So, if there is 1 kilogram (X) it translates to 2.2 pounds (P).
X=2.2P
Simply rearrange the equation to determine the pounds in x kilograms. Thus, divide both sides by 2.2.
Therefore, we derive P=x/2.2
The inquiry requests that I calculate and formulate the parametric representation for the specified surface and the plane that includes the vector i - j and j - k, originating from the origin. Based on my development of this, the equation for the surface in parametric form can be expressed as S:(U,V,-U-V). I hope this information is useful.