Answer:
Last option 527.7 ft
Step-by-step explanation:
From the diagram attached we can see the angle of depression is 80.2 which is equal to ∠ACB (alternate angles)
Height of the deck AB = 520 ft. and we have to calculate the distance H between the tourist and her friend.
Sin ∠ACB = 
Now we apply sin rule sin 80.2 = 


So the tourist and her friend are 527.7 ft apart.
We are given
total number of particles =4
and
total sum of charge=-36
Since, all the particles have the same charge
and total charge is negative
so, charge on each particle must be negative
now, we can use formula to find change on each particle
charge on each particle = (total sum of charge)/( total number of particles)
now, we can plug values
and we get
The charge on each particle is

units..............Answer
Answer:
"Proponents of a local ballot measure conduct a survey of the city by randomly selecting 100 potential voters from each of its 18 zip codes" is an example of stratified sampling
Step-by-step explanation:
The stratifed samplig methos its a probabilistical method that takes all the universe studied and divide this into different groups. In this case the universe is all the population divided into the 18 zip codes).
After that, it randonbly selects the subjects of every group and generates the statistical sample.
In this case, it can be used the proportional stratified samplig where you take the porportion of voters in every zip code and use ir¡t as the number of voters selected on every zip code.
How does it can be perform? . Let's see: For example:
- Percentaje on the total population in zip code 1: 18%
- Number of subjects of zip code 1 in the sample: 18
- and so on...
So you will have a 100 subject`s sample based on the method of proportional stratified sampling
It can also use the non proportional stratified sampling method taking the same number of subjects on every zip code.
Answer:
f⁻¹(x) = (x - 1)/8
Or
f⁻¹(x) = 1/8 x - 1/8
Step-by-step explanation:
To find the inverse of a function, switch the "x" and "y" variables, then isolate "y".
Remember <u>"f(x)" is the same thing as "y"</u>. Change from function notation to "y".
f(x) = 8x + 1
y = 8x + 1
<u>Switch the "x" and "y" variables</u>
x = 8y + 1
<u>Isolate "y"</u>. Move the "y" variable to the left for standard formatting
8y + 1 = x
8y + 1 - 1 = x - 1 Subtract 1 from both sides
8y = x - 1
Divide both sides by 8 and simplify
Inverse equation
Slope-intercept form
<u>Use function notation</u>, change "y"
Simplified
Slope-intercept form
Answer:
z= 69
Step-by-step explanation:
79+122+90+z=360 angle sum property
360-291=69
so z=69 degree