Answer:
Step-by-step explanation:
Method 1: Using a calculator <em>instead</em> of the unit circle
The unit circle gives coordinates pairs for the <em>cos</em> and <em>sin</em> values at a certain angle. Therefore, if an angle is given, use a calculator to evaluate the functions at cos(angle) and sin(angle).
Method 2: Using the unit circle
Use the unit circle to locate the angle measure of 150° (or 5π/6 radians) and use the coordinate pair listed by the value (see attachment).
This coordinate pair is (-√3/2, 1/2).
Answer:
x° = 67°
Step-by-step explanation:
1. The first three diagrams are showing you that opposite exterior angles are congruent. Based on that, when you are faced with opposite exterior angles in the fourth diagram, you are able to conclude they are congruent. That means x° = 67°.
2. You can determine the other angles in the figure based on linear angles being supplementary, and same-side interior angles being supplementary. After you work through all the angles, you find that x = 67.
Answer:
a. Discrete probability distribution, frequent rider club, 0.65 of 20
b. 13
c. $60
d. $57.50
Step-by-step explanation:
a. X follows a discrete probability distribution because it involves discrete random variables which have probability mass function and frequency.
f(x) =0.65 of 20 passengers
b. if 0.65 0f 20 passengers are frequent riders,
then, the frequent riders will be 13 passengers
c. expected revenue will be $3 *20 passengers which will be $60.
the total number of passengers given tickets is 20 and the price for each is $3. thus, making the parameters to be price and number of passengers.
d. if the frequent riders are charged $2, then the amount paid by this group will be $2*13 which is $26
and if $4.50 is paid by the regular passengers it will be $4.50*(20-13) which is $31.50.
therefore, expected revenue will be $26+$31.50 equals $57.50
Answer:
For 124 chirps per minute the temperature is 68 ºF.
For 68 chirps per minute the temperature is 54 ºF.
Step-by-step explanation:
Linear functions are those whose graph is a straight line. A linear function has the following form
b is the constant term or the y intercept. It is the value of the dependent variable when x = 0.
m is the coefficient of the independent variable. It is also known as the slope and gives the rate of change of the dependent variable.
We know that
- At 104 chirps per minute, the temperature is 63 ºF.
- At 176 chirps per minute, the temperature is 81 ºF.
This information can be converted to Cartesian coordinates (x, y). Where x = the number of chirps per minute and y = the temperature in ºF.
To find a linear function that let us find the outside temperature from how fast crickets chirp we must:
Solving for b
Therefore, the linear function is
Now, using this linear function we can know the temperature when we know the chirps per minute:
For 124 chirps per minute the temperature is:
For 68 chirps per minute the temperature is:
Answer: See explanation
Step-by-step explanation:
Your question isn't complete. First and foremost, to be able to solve this, we need to know the total marks of the examination.
Let's assume that the total marks for the exam is 80. Since Donte scored 55 on his mastery exam, the percent that he score will be:
= 55/80 × 100
= 68.75%
