Answer: c) P(C) = 1/3
Step-by-step explanation:
P(A) + P(B) + P(C) = 1 (100%)
P(A) = P(B) =P(C)
Using substitution:
P(C) + P(C) + P(C) = 1
3 P(C) = 1
P(C) = 1/3
Answer:
1,530
Step-by-step explanation:
box 1 (left one): 10*9*9=810
box 2 (right one): 18*4*10=720
720+810=1,530
Answer:
1530 cm^3
Step-by-step explanation:
They are two Rectangular Prism.
prism 1.
length l = 18 cm
width w = 10 cm
height h = 4 cm
diagonal d = 20.976177 cm
total surface area S_tot = 584 cm^2
lateral surface area S_lat = 224 cm^2
top surface area St_op = 180 cm2
bottom surface area S_bot = 180 cm^2
volume V = 720 cm^3
Prism 2.
length l = 10 cm
width w = 9 cm
height h = 9 cm
diagonal d = 16.1864141 cm
total surface area S_tot = 522 cm^2
lateral surface area S_lat = 342 cm^2
top surface area Stop = 90 cm^2
bottom surface area Sbot = 90 cm^2
volume V = 810 cm^3
Add 720 cm^3+810 cm^3 = 1530 cm^3
Agenda: l = length
w = width
h = height
d = diagonal
S_tot = total surface area
S_lat = lateral surface area
S_top = top surface area
S_bot = bottom surface area
V = volume
Formula: Volume of Rectangular Prism: V = lwh
Answer:
69 users.
Step-by-step explanation:
First, we need to calculate the amount of seconds in one day.
a) Each hour has 60 minutes and each minute has 60 seconds.
Therefore, one hour has (60)(60) = 3600 seconds.
b) Since the day has 24 hours, we are going to multiply the total amount of seconds per hour by 24.
3600 (24) = 86400 seconds per day.
c) Now that we have the amount of seconds per day, we are going to divide the total amount of users added each day by the amount of seconds per day.
6000000/86400 = 69.44 users per second.
Therefore, 69 users are added, on average, each second.
Answer:
3(x+8)=11
Step-by-step explanation:
It says 3 times the sum of one third of a number and 8, so we group that expression into the parentheses. Since there is a key word is, we need to put an equal sign.
Answer:
Step-by-step explanation:
You need only take 45% of 200
Music = 45/100 * 200
Music = 9000/100
Music = 90
So of a grade of 200, there are 90 who take music.
What is the height of the tower (h)?
The height of the tower (h) is approximately 186.4 feet.
A ratio is simply the relation between two amounts showing how many times a value is contained within another value.
Given the data in the quesion;
We can set up a proportion to solve for the height of the tower:
Aidan's height / length of Aidan's shadow = height of the tower / length of the tower's shadow
Plugging in the values we know, we get:
5.5 / 9 = h / 305
To solve for h, we can cross-multiply and simplify:
9h = 5.5 × 305
9h = 1667.5
h = 1667.5 / 9
h = 186.4 ft
Therefore, the value of h is 186.4 feet.
Learn more about ratio here: brainly.com/question/30061012
#SPJ1
Complete Question
The probability that a single radar station will detect an enemy plane is 0.65.
(a) How many such stations are required to be 98% certain that an enemy plane flying over will be detected by at least one station?
(b) If seven stations are in use, what is the expected number of stations that will detect an enemy plane? (Round your answer to one decimal place.)
Answer:
a
b
Step-by-step explanation:
From the question we are told that
The probability that a single radar station will detect an enemy plane is
Gnerally the probability that an enemy plane flying over will be detected by at least one station is mathematically represented as
=>
=> Note
=>
=>
Generally from binomial probability distribution function
Here C represents combination hence we will be making use of of combination functionality in our calculators
Generally any number combination 0 is 1
So
=>
taking log of both sides
=>
=>
=>
=>
=>
Gnerally the expected number of stations that will detect an enemy plane is
=>