Answer: 173.26 ft = 173 ft
Step-by-step explanation:
h tree: 76 ft
h man: 6 ft
As we can see on the sketch, they form a right triangle, so:
tan 22 = 76/y ⇒ 0.404 = 76/y ⇒ y = 76*0.404 ⇒ y = 188.11 ft
tan 22 = 6/x ⇒ 0.404 = 6/x ⇒ x = 6*0.404 ⇒ x = 14.85 ft
distance between the man and the tree = y - x = 188.11 - 14.85 = 173.26 ft
Answer:
a) sample of size n from the population has an equal chance of being selected.
b) Every member of the population has an equal chance of being included in the sample.
Step-by-step explanation:
Simple random sampling:
- It is a type of probabilistic sampling.
- It is an unbiased representation of population.
- The probability of selection is equal for every observation.
- A sample is taken in such a way that each member has an equal probability of being selected.
- A simple random sample is a subset of a statistical population in which each member of the subset has an equal probability of being chosen.
- Thus,the correct interpretation is given by,
a) sample of size n from the population has an equal chance of being selected.
b) Every member of the population has an equal chance of being included in the sample.
- c) The simplest method of selection is used to create a representative sample.
The statement is false.
There is no pattern or technique used for selection. The selection is purely random.
- d) Each subset of the population has an equal chance of being included in the sample.
The statement is false.
Each object of the population has an equal chance of being included in the sample. and not each subset.
- e) Every sample of size n from the population has a proportionally weighted chance of being selected.
The given statement is false.
The only way 3 digits can have product 24 is
1 x 3 x 8 = 241 x 4 x 6 = 242 x 2 x 6 = 242 x 3 x 4 = 24
So the digits comprises of 1,3,8 or 1,4,6, or 2,2,6, or 2,3,4
To be divisible by 3 the sum of the digits must be divisible by 3.
1+ 3+ 8=12, 1+ 4+ 6= 11, 2 +2 + 6=10, 2 +3 + 4=9Of those sums of digits, only 12 and 9 are divisible by 3.
So we have ruled out all but integers whose digits consist of1,3,8, and 2,3,4.
Meanwhile they must be odd they either must end in 1 or 3.
The only ones which can end in 1 are 381 and 831.
The others must end in 3.
They must be greater than 152 which is 225. So the
First digit cannot be 1. So the only way its digits can contain of1,3,8 and close in 3 is to be 813.
The rest must contain of the digits 2,3,4, and the only way they can end in 3 is to be 243 or 423.
So there are precisely five such three-digit integers: 381, 831, 813, 243, and 423.
Answer:
27
Question:
Find 
so that 
is a solution to 
.
Step-by-step explanation:
So we are asked to replace 
with -14 and solve for in the equation:
.
with 
:
Add 42 on both sides:
Divide both sides by 2:
.
So the -coordinate that corresponding to is 
.
Verify that:
is a point satisfying .
Replace with 27 and with -14:
is true so our work must be right.
the answer is communicative
