The area of the right triangular tabletop is calculated through the equation,
A = 0.5(L₁)(L₂)
The area, as stated above, is equal to 400 in². Substituting the known values to the equation above,
400 = 0.5(16 in)(L₂)
The value of L₂ is equal to 50 inches. Thus, the second length is equal to 50 inches.
Answer: the awnser is b 22.2.
Step-by-step explanation: have a nice day
Answer:
P ( 23 < X < 64.7 ) = P ( -1 < Z < 2 ) = 0.8186
Step-by-step explanation:
Solution:
- Let X be a random variable that denotes the age of people who use smartphones.
- The random variable X follows a normal distribution with parameters mean (u) and standard deviation (s).
-The normal distribution can be expressed as:
X~ N ( u , s^2 )
X~ N ( 36.9 , 13.9^2 )
- The probability that a random smartphone user in the age range 13 to 55+ is between 23 and 64.7 years old can be expressed as:
P ( 23 < X < 64.7 )
- We will compute the Z-score values for the interval:
P ( 23 < X < 64.7 ) = P ( (x1 - u) / s < Z < (x2 - u) / s )
P ( 23 < X < 64.7 ) = P ( (23 - 36.9) / 13.9 < Z < (64.7 - 36.9) / 13.9 )
P ( 23 < X < 64.7 ) = P ( -1 < Z < 2 )
- We will use Z-table to evaluate:
P ( 23 < X < 64.7 ) = P ( -1 < Z < 2 ) = 0.8186
Answer:
2y =8
Step-by-step explanation:
First let's find the value of y
Collect like terms and simplify ;
Divide both sides of the equation by 8
Simplify
Substitute 4 for y into 2y
Answer:
60 hand shakes.
Step-by-step explanation:
We have been given that there are 6 married couples at a party.
This means there are 12 people in total.
We know that number of handshakes for n people is given by formula 
.
We are also told that at the start of the party every person shakes hands once with every other person except his or her spouse.
So formula for this problem would be 
or 
.
Since total numbers of people is party is 12, so we will get:
Therefore, there will be 60 hand shakes at the party.
