Width: W
length: L = 5W
Use the Pyth. Theorem to find the length of the diagonal:
|D| = sqrt(W^2 + [5W]^2) = sqrt(W^2 + 25W^2) = sqrt(26W^2), or
Wsqrt(26) (ans.)
Answer:
$500 is the original price
Step-by-step explanation:
0.6x = 300 Divide 0.6 on both sides
x = $500
I got (-6.28, -0.76).
Step 1.) Write out the problems
-2x=8-6y
-15x=21-6y
Step 2.) Pick a problem and solve for X
-2x=8-6y = x=-4-3y
Step 3.) Plug in the x
(-15)(-4-3y)= 21-6y
60 + 45y= 21-6y
Step 4.) Solve for y
y=-0.76
Step 5.) Plug in the y value into one of the equations
-2x= 8- 6(-0.76)
-2x= 8 + 4.56
x= -6.28
Step 6.) Check your answers
-2(-6.28)=8-6(-0.76)
12.56=12.56
Step 7.) Write it out
(-6.28,-0.76)
Answer:

Step-by-step explanation:
Using central Limit Theorem (CLT), The sum of 100 random variables;
is approximately normally distributed with
Y ~ N (100 ×
) = N ( 50,
)
The approximate probability that it will take this child over 55 seconds to complete spinning can be determined as follows;
N ( 50,
)




Using Chebyshev's inequality:

Let assume that X has a symmetric distribution:
Then:


where: (
)

Answer:
4.39% theoretical probability of this happening
Step-by-step explanation:
For each coin, there are only two possible outcomes. Either it lands on heads, or it lands on tails. The probability of a coin landing on heads is independent of other coins. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
Theoretically, a fair coin
Equally as likely to land on heads or tails, so 
10 coins:
This means that 
What is the theoretical probability of this happening?
This is P(X = 2).


4.39% theoretical probability of this happening