From -∞ to -4 the blue line is situated above the X axis, indicating that it is >0
Between -4 and -3, the blue line is below zero
Thus, the correct answer is: F(x) > 0 over the interval (-∞,-4)
Answer:
(C) 10% to 70%(
Step-by-step explanation:
Given that at least 40% of the students are learning German, the upper limit of those who might be enrolled in English but not in German is 60%. However, since a minimum of 70% study English, it leads to the conclusion that at least 10% of students must be taking both German and English.
If we consider that at least 30% of students are learning Italian, and assuming that no student is studying all three languages simultaneously, then there is a maximum of 70% of students who could potentially be registered in both English and German.
This means the possible percentage for students enrolled in both English and German ranges from 10% to 70%
In certain cases, a function necessitates multiple formulas to achieve the desired outcome. An example is the absolute value function \displaystyle f\left(x\right)=|x|f(x)=∣x∣. This function applies to all real numbers and yields results that are non-negative, defining absolute value as the magnitude or modulus of a real number regardless of its sign. It indicates the distance from zero on the number line, requiring all outputs to be zero or greater.
<pwhen inputting="" a="" non-negative="" value="" the="" output="" remains="" unchanged:="">
\displaystyle f\left(x\right)=x\text{ if }x\ge 0f(x)=x if x≥0
<pwhen inputting="" a="" negative="" value="" the="" output="" is="" inverse:="">
\displaystyle f\left(x\right)=-x\text{ if }x<0f(x)=−x if x<0
Due to the need for two distinct operations, the absolute value function qualifies as a piecewise function: a function defined by several formulas for different sections of its domain.
Piecewise functions help describe scenarios where rules or relationships alter as the input crosses specific "boundaries." Business contexts often demonstrate this, such as when the cost per unit of an item decreases past a certain order quantity. The concept of tax brackets also illustrates piecewise functions. For instance, in a basic tax system where earnings up to $10,000 face a 10% tax, additional income incurs a 20% tax rate. Thus, the total tax on an income S would be 0.1S when \displaystyle {S}\leS≤ $10,000 and 1000 + 0.2 (S – $10,000) when S > $10,000.
</pwhen></pwhen>
Answer:
40%
Detailed solution:
John Smith and Susan Jones have contributed $240,000 and $160,000 respectively toward Expo Company. We are tasked with determining the proportion of the business owned by Susan.
First, calculate the total investment by summing both contributions.
Next, find what percentage $160,000 is of the total $400,000.
Thus, Susan's share in the company is 40%.
Answer:
0.8937
Step-by-step explanation:
This involves binomial probability with n = 64, p = 0.10, and x = 3. This indicates a 10% chance of cancellations. To determine the likelihood of having more than 3 cancellations or no-shows, we calculate binompdf(64,0.10,0) + binompdf(64,0.10,1) + binompdf(64,0.10,2) + binompdf(64,0.10,3), then subtract that total from 1.000.
The result is: 0.0012 + 0.0084 + 0.0293 + 0.0674 = total = 0.1063
Thus, the target probability is 1.0000 - 0.1063 = 0.8937
