Answer:
4.
5.
Step-by-step explanation:
The sides of a (30 - 60 - 90) triangle follow the following proportion,
Where (a) is the side opposite the (30) degree angle, (
) is the side opposite the (60) degree angle, and (2a) is the side opposite the (90) degree angle. Apply this property for the sides to solve the two given problems,
4.
It is given that the side opposite the (30) degree angle has a measure of (8) units. One is asked to find the measure of the other two sides.
The measure of the side opposite the (60) degree side is equal to the measure of the side opposite the (30) degree angle times (
). Thus the following statement can be made,
The measure of the side opposite the (90) degree angle is equal to twice the measure of the side opposite the (30) degree angle. Therefore, one can say the following,
5.
In this situation, the side opposite the (90) degree angle has a measure of (6) units. The problem asks one to find the measure of the other two sides,
The measure of the side opposite the (60) degree angle in a (30-60-90) triangle is half the hypotenuse times the square root of (3). Therefore one can state the following,
The measure of the side opposite the (30) degree angle is half the hypotenuse (the side opposite the (90) degree angle). Hence, the following conclusion can be made,
The answer is z= 1. Hope that helps
Answer:
The experimental probability --> 
The theoretical probability --> 
Step-by-step explanation:
<u>Key skills needed: Experimental vs theoretical probability, Fractions</u>
1) The first thing you need to understand is experimental probability vs theoretical probability. (Do not include this in your work!!)
- Theoretical probability is based on simple reasoning
- Experimental probability is based on the results a person gets (so the experiment you did by flipping the coin)
2) Now with this, let's start solving:
- Experimental probability --->
--> You flipped the coin a total of 100 times, so the denominator would be 100. 65 of those would be heads so 65 is our numerator. - So our experimental probability is -->
--> Both have the factor of 5, so take the factor of 5 out of the numerator and denominator and you will get --> - Now onto theoretical probability --> --> There are 2 faces of a coin, 1 side is heads, and 1 side is tails --> The total number of faces is 2, so 2 is our denominator. There is only 1 side that is heads, so 1 is the numerator. This means --> Our theoretical probability is
<em>Hope you understood and have a nice day!! :D</em>
Answer:
A.) Continuous random variable ;Not a random variable ; Discrete random Variable ; Continuous random variable ; discrete random variable
Step-by-step explanation:
Identify which is most appropriate category for the sample data given below :
a. Exact weights of the next 100 babies born in the United States
This is a continuous random varibake as it could take up any value including decimals in other to specify the exact weight of an individual.
b. Responses to the survey question "Which political party do you prefer?"
Not a random variable as the outcome to this question isn't numerical.
c. Numbers of spins of roulette wheels required to get the number 7
This is a discrete random variable as the number of roulette spins would be a whole number within a specified fic range.
d. Exact foot lengths of humans
Continuous random variable
The exact foot length of human would vary greatly and in a bid to give an exact value, foot length will most definitely take up decimal values
e. Shoe sizes (such as 8 or 8½) of humans.
This is also a discrete random variable as shoe sizes are restricted to a specific range. Even with the inclusion of 1/2 in the measurement, there are no values inbetween (8 and 8 1/2) which will be the same for the remaining value range.
