Answer:
9.4339 units
Step-by-step explanation:
Here we are given with two coordinates and asked to determine the distance between them.
Here we are going to use the distance formula, which is given as under
Where
Replacing these values in the distance formula
Hence the distance is 9.4339 units
Answer:
b. A binomial variable with 25 independent trials
Step-by-step explanation:
The conducted experiment is binomial experiment because outcome can be divided into success or failure. The success would be the people who read novel in the past year and also responses are independent of each other. We have to find the number of trials n in the given problem.
we are given that variance of R=6 and p=probability of success=0.4.
We know that variance of binomial distribution is
Variance=npq
where q=1-p=1-0.4=0.6.
By putting the values in variance formula, we can get the value of n.
6=n*0.4*0.6
6=0.24*n
n=6/0.24
n=25
Hence, random variable R is a binomial variable with 25 independent trials.
Answer:
(5.4k+7.9m+8.1n) centimeters
Step-by-step explanation:
Given the side length of a triangle;
S1 = (1.3k+3.5m) cm
S2 = (4.1k-1.6n) cm
S3 = (9.7n+4.4m) cm
Perimeter of the triangle = S1+S2 + S3
Perimeter of the triangle = (1.3k+3.5m) + (4.1k-1.6n) + (9.7n+4.4m)
Collect the like terms;
Perimeter of the triangle = 1.3k+4.1k+3.5m+4.4m-1.6n+9.7n
Perimeter of the triangle = 5.4k+7.9m+8.1n
Hence the expression that represents the perimeter of the triangle is (5.4k+7.9m+8.1n) centimeters
Answer:
28x + 54 = 379 is what I came up with, though it would help to see the choises you have to select from if there are any.
Step-by-step explanation:
28 = the pages she reads in 1 hours.
x = how many hours it would take to finish the book.
54 = the amount of pages she's already read.
379 = the full amount of pages she needs to read to finish the book.
Answer:
a = 15
b = -10
Step-by-step explanation:
Here, we want to solve the system of linear equations
Firstly, let us multiply the first equation through by 10
2a - 5b = 100 ••••(i)
from the second equation;
a = 29 + b
Substitute this into i
2(29 + b) - 5b = 100
58 + 2b -5b = 100
-3b = 100-58
3b = 42
-b = 42/3
-b = 14
recall;
a - b = 29
a - (-14) = 29
a + 14 = 29
a = 29-14 = 15
