Answer:
Step-by-step explanation:
The power generation plant of a ship is outfitted with two identical diesel-generator sets. One single set running stand-alone can meet the full power requirement of the vessel. The engine of each set has a malfunction probability of 25% and the generator of 10%. In case one set breaks down there is a 50% probability of it being repaired but it will run again only if repaired and its subsystems do not further malfunction upon startup. Calculate the probability of an electric power outage shipboard.
Answer:
probability of an electric power outage shipboard is 0.075 or 7.5 %
Step-by-step explanation:
Given the data in the question;
Probability of engine malfunction = 25% = 0.25
Probability of generator malfunction = 10% = 0.1
Probability of generator being repaired = 50% = 0.5
probability of an electric power outage shipboard = ?
To get the probability of an electric power outage shipboard, we use the expression;
probability of an electric power outage = 2[tex]_c_1[/tex] × p( Probability of generator malfunction ) × p( Probability of generator being repaired ) × ( 1 - p( Probability of engine malfunction ) )
so we substitute in our given values;
probability of an electric power outage = 2 × 0.1 × 0.5 × ( 1 - 0.25 )
probability of an electric power outage = 2 × 0.1 × 0.5 × 0.75
probability of an electric power outage = 0.075 or 7.5 %
Kim is thinking of a prime number.
It is in between a multiple of 11 and a factor of 48
What number is Kim thinking of?
Answer:
35
Step-by-step explanation:
Can someone help me with this please
what is the explicit formula for this sequence?
-8,-3,2,7
A)an=12+(n-1)5
B)an=-8+(n-1)5
C)an=5+(n-1)(-8)
D)an=-8+(n-1)(-5)
Answer:
3,2,7
A)an=12+(n-1)5
B)an=-8+(n-1)5
C)an=5+(n-1)(-8)
D)an=-8+(n-
1.an=5n+5
A1 A2 A3
2.An=6n²+3
A1 A2 A3
Answer:
a1=11
a2=15
a3=20
a1=9,a2=27,a3=57
Answer:
#1aₙ = 5n + 5
a₁ = 5*1 + 5 = 10a₂ = 5*2 + 5 = 15a₃ = 5*3 + 5 = 20#2aₙ = 6n² + 3
a₁ = 6(1²) + 3 = 9a₂ = 6(2²) + 3 = 27a₃ = 6(3²) + 3 = 57Germany 3. Guam 24
Greenland -10
Which location is the warmest?
Answer: Guam
Step-by-step explanation:
Guam's location is the warmest because its a higher number than Greenland and Germany
Emelio is going to China on vacation. He can take one bag for free, but if the
weight of the bag is greater than 45 lb, he must pay a fee. Emelio knows his
bag weighed 32.4 lb on the way to China, and he plans to buy gifts for his
parents and siblings. He packs the same things he brought to China plus the
gifts into his bag on the way back. If he doesn't want to pay a fee, how much
can the gifts weigh?
The weight of the gifts must be Select...
Ib.
Answer:
12.6
Step-by-step explanation:
you basically subtract 32.4 and 45 to get your final answer because if a question has the words " how much more " you will most likely have to subtract or include subtraction
PLEASE HELP 30 POINTS
The answer is No!! I hope this helps, have a wonderful day!
Answer:
A) yes, both functions are inverses of each other.
[tex]---------[/tex]
[tex]hope ~ it ~ helps\\\\have ~ a ~ great ~day!![/tex]
y
∝
√
x
If
y
=
45
when
x
=
81
find,
x
when
y
=
100
Answer:
x = 400 when y = 100
Step-by-step explanation:
This is a question in relation to direct variation.
y ∝ [tex]\sqrt{x}[/tex]
y = k [tex]\sqrt{x}[/tex]
Given that, y = 45, x = 81. Then;
45 = k [tex]\sqrt{81}[/tex]
45 = 9k
k = [tex]\frac{45}{9}[/tex]
k = 5
Thus the relationship among the variables is;
y = 5 [tex]\sqrt{x}[/tex]
If y = 100, then;
100 = 5 [tex]\sqrt{x}[/tex]
[tex]\sqrt{x}[/tex] = [tex]\frac{100}{5}[/tex]
[tex]\sqrt{x}[/tex] = 20
x = [tex](20)^{2}[/tex]
x = 400
Therefore, x = 400 when y = 100.
A geyser erupts every 25 minutes. A hiker has not consulted a schedule before heading to see the geyser, so the amount of time he spends waiting to see an eruption follows a uniform distribution. What is the probability that he will wait longer than 6 minutes? Give your answer to two decimal places.
Answer:
0.76 = 76% probability that he will wait longer than 6 minutes
Step-by-step explanation:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distribution has two bounds, a and b, and the probability of finding a value higher than x is given by:
[tex]P(X > x) = \frac{b - x}{b - a}[/tex]
A geyser erupts every 25 minutes. A hiker has not consulted a schedule before heading to see the geyser, so the amount of time he spends waiting to see an eruption follows a uniform distribution.
This means that [tex]a = 0, b = 25[/tex]
What is the probability that he will wait longer than 6 minutes?
[tex]P(X > 6) = \frac{25 - 6}{25 - 0} = 0.76[/tex]
0.76 = 76% probability that he will wait longer than 6 minutes
PLSSSSSSSSSSS HELPPPPPPPPP
Answer:
B and D
Step-by-step explanation:
What is the volume of the prism
Answer:
24 cm^3
Step-by-step explanation:
you do length times width times height.
PLEADE HELP
What does no solution look like and the same to two solution, one solution?
Answer:
Is there an image?
Step-by-step explanation:
(101,2,108,104,102,107,109,102) what is the best measure of center for this data set
Answer:
q02 because it is showed the most times
rewrite the rectangular equation x^2+y^2-8y=0 as a polar equation
Answer:
We'll use the following identities:
r = √(x2 + y2), from which we also have r2 = x2 + y2
y = r*sinθ
First, let's re-write your equation:
r = 8*sin(θ). Multiply both sides by r:
r2 = 8r sin(θ)
Now, we'll use substitute using the identities:
x2 + y2 = 8y
Re-arrange and complete the square:
x2 + y2 - 8y = 0
x2 + (y-4)2 - 16 = 0
x2 + (y-4)2 = 16
This represents a circle with center (0,4), and radius 4.
Step-by-step explanation:
sorry if it wrong
Of 1936 people so came into a blood bank to give blood, 200 people had high blood pressure. Estimate the probability that the next person who comes in to give
blood will have high blood pressure’s
Answer:
person has a 10% chance of having high bp
Step-by-step explanation:
200 out of 1936 equals about 10%
WILL MARK BRAINLIEST!!!
Which of the following are true statements about any regular polygon? Check all that apply.
Answer:
They are convex, all sides are congruent, their angles are congruent, and the sum of their exterior angles is 360º.
Step-by-step explanation:
Correct Answer= Brainliest
Answer:
49
Step-by-step explanation:
Convert the dot plot into numbers
40, 40, 40, 45, 45, 50, 55, 55, 60, 60
Add all together
40+40+40+45+45+50+55+55+60+60 =490
Divide by amount of numbers there are
Amount of numbers = 10 --> 490/10 = 49
Mean = 49
The manager of an apartment complex is ordering new tile to lay around the perimeter of the apartments swimming pool. The specifications for the pool are shown below. The solid lines represent the perimeter of the pool.
What is the approximate perimeter of the pool?
Answer: 158 feet
Step-by-step explanation: I’ve gotten this question right on a test.
The approximate perimeter of the pool will be 157.36 feet.
What is the perimeter of the shape?The complete stretch of a shape's border is referred to as the perimeter in geometry. A shape's periphery is calculated by summing the lengths of all of its sides and borders. Its dimensions are expressed in linear units like centimeters, meters, inches, and feet.
The perimeter of the shape is a combination of the perimeter of two small quarter circles, one big circle, and the sides of a rectangle. Then the perimeter is calculated as,
P = πr + 2L + w + πR
P = 3.14 x 9 + 2 x 35 + 12 + 3.14 x 15
P = 157.36 feet
The approximate perimeter of the pool will be 157.36 feet.
More about the perimeter of the shape link is given below.
https://brainly.com/question/28161250
#SPJ2
Simplify (write without absolute value sign): |x-3|, if x>5
Answer:
if x > 5 => x - 3 > 2 >0
=> x - 3 > 0
So |x - 3| = x - 3
convert logx8=2 to exponential form
Answer:
8 = x²
Step-by-step explanation:
Logarithmic form: logₓ(8) = 2
Exponential form: 8 = x²
which expression is 6 groups of 4?
Answer:
6x4=24
Step-by-step explanation:
you can use a calculator if you want. No links please help this is very important i will give you brain thing if its correct
Answer:
C
Step-by-step explanation:
12.3+0.25=12.55
Answer:
C 12.55
Step-by-step explanation:
They are the same unit so 0.25ml+12.3ml=12.55ml
hope it helps :)
PLEASE ANSWER ASAP NO LINKS OR WILL BE REPORTED! 3. The measure of side c is 100 inches. The measure of side a is 75 inches. What is the length of side b? SHOW ALL OF YOUR WORK Answer:
Answer:
66.14inches
Step-by-step explanation:
pyhtgreom therom
75^2+b^2 = 100^2
5625 + b^2 = 10,000
subtract both sides by 5625
b^2 = 4375
square root both sides
b = 66.14
3. In a circular park with a radius of 250 m there are 7 lamps whose bases are circles with
См
a radius of 1 m. The entire area of the park has grass with the exception of the bases for
the lamps. Calculate the lawn area.
Answer:
Area of the lawn = 62493π m^2
Step-by-step explanation:
9. Lisa bought h shares of Home Depot stock for x dollars per share. She sold all of the
shares years later for y dollars per share. Express her capital gain algebraically.
Answer:
(hy)-(hx)=P
Step-by-step explanation: to get the total price of stock you multiply the cost of one share by how many shares were bought. After being sold years later they made a profit, you must subtract the total cost from this profit to find the total profit.
Pls help me!
1/3 of it is 9?
Answer:
27
Step-by-step explanation:
(1/3) * x = 9
x = 9 * (3/1)
x = 27
Hope this helps!
Answer:
let the number be x
1/3*x=9
x/3=9
x=9*3
x=27
Step-by-step explanation:
therefore the number is 27
Find the measure of the missing angle
Help plss
Answer: [tex]150^{\circ}[/tex]
Step-by-step explanation:
By the exterior angle theorem,
[tex]m\angle BQR=50^{\circ}+100^{\circ}=\boxed{150^{\circ}}[/tex]
Use cos to solve for a(please no links and show work)
Juan sold half of his comic books and then bought six more. If he now has 36 comic books, with how many did he begin?
Answer:
60
Step-by-step explanation:
he bought 6 so you need to subtract 6
which 36-6=30
and double 30 is 30
so its 60