Answer:
39.63
Step-by-step explanation:
If the number after the place you are rounding to is 4 or lower, then you round down. If it is 5 or higher round up.
Answer:
c) 3 units
d) g(x) - f(x) = x² + 2x
e) (-∞, -2] ∪ [0, ∞)
Step-by-step explanation:
<h3><u>Part (c)</u></h3>
To calculate the length of FC, first find the coordinates of point C.
The y-value of point C is zero since this is where the function f(x) intercepts the x-axis. Therefore, set f(x) to zero and solve for x:
As point C has a <u>positive</u> x-value, C = (1, 0).
To find point F, substitute the x-value of point C into g(x):
⇒ F = (1, 3).
Length FC is the <u>difference</u> in the y-value of points C and F:
<h3><u>Part (d)</u></h3>
Given functions:
Therefore:
<h3><u>Part (e)</u></h3>
The values of x for which g(x) ≥ f(x) are where the line of g(x) is above the curve of f(x):
Point A is the <u>y-intercept</u> of both functions, therefore the x-value of point A is 0.
To find the x-value of point E, equate the two functions and solve for x:
As the x-value of point E is negative ⇒ x = -2.
Therefore, the values of x for which g(x) ≥ f(x) are:
- <u>Solution</u>: x ≤ -2 or x ≥ 0
- <u>Interval notation</u>: (-∞, -2] ∪ [0, ∞)
The probability that it also rained that day is to be considered as the 0.30 and the same is to be considered.
<h3>
What is probability?</h3>
The extent to which an event is likely to occur, measured by the ratio of the favorable cases to the whole number of cases possible.
The probability that the temperature is lower than 80°F and it rained can be measured by determining the number at the intersection of a temperature that less than 80°F and rain.
So, This number is 0.30.
Hence, we can say that it was less than 80°F on a given day, the probability that it also rained that day is 0.30.
To learn more about the probability from the given link:
brainly.com/question/18638636
The above question is incomplete.
The conditional relative frequency table was generated using data that compared the outside temperature each day to whether it rained that day. A 4-column table with 3 rows titled weather. The first column has no label with entries 80 degrees F, less than 80 degrees F, total. The second column is labeled rain with entries 0.35, 0.3, nearly equal to 0.33. The third column is labeled no rain with entries 0.65, 0.7, nearly equal to 0.67. The fourth column is labeled total with entries 1.0, 1.0, 1.0. Given that it was less than 80 degrees F on a given day, what is the probability that it also rained that day?
#SPJ4
Answer:
36 degrees
Step-by-step explanation:
Those two angles are vertical therefore they are congruent.
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