Answer:
x = 15.81
Step-by-step explanation:
horizontal leg of triangle = 15
vertical leg of triangle = 9 - 4 = 5
using the Pythagorean theorem:
x² = 15² + 5² = 225 + 25 = 250
x = √250 = 15.81
To obtain the sample, one can choose the names of 6 students out of a hat from the students in the class using random sampling.
<h3>What is random sampling?</h3>
It should be noted that a simple random sample is a subset of a statistical population where each member of the subset has an equal probability of being chosen.
Systematic sampling is when the sample members from a larger population are selected based on a fixed, periodic interval. If you want to select a random group of 6 students from a population of about 60 using systematic sampling, every 10th person on the list is selected.
Learn more about sampling on:
brainly.com/question/17831271
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>
Ok so assumin by 2x3 you mean 2x^3 or 2 times x cubed
PEMDAS
parenthasees
exponentes
multiply
divide
add
subtract
exponents
we have
2(3)^3+3(4)^2-17
exonents
3^3=27
4^2=16
now we have
2(27)+3(16)-17
distribute (multply)
2 tiems 27=54
3 times 16=48
now we have
54+48-17
add/subtract
85
answer is 85
Answer:
I’F’ = 21
Step-by-step explanation:
To find the length of I’F’
We perform the dilation on IF using the given dilation factor
All we have to do here is to multiply the length of IF by the dilation factor
We have this as ;
28 * 3/4 = 21
