Answer:
The probability is [tex]P(X>30)=0.75[/tex]
Step-by-step explanation:
We know that the probability of testing the fire alarm during this period is uniformly distributed that is [tex]X[/tex] ~ [tex]U(0,120)[/tex].
We need to find [tex]P(X>30)[/tex]
Given a continuous random variable [tex]X[/tex] with distribution :
[tex]X[/tex] ~ [tex]U(a,b)[/tex] , where ''[tex]a[/tex]'' and ''[tex]b[/tex]'' are real numbers
The probability density function is :
[tex]f_{X}(x)=\frac{1}{b-a}[/tex] if x ∈ (a,b)
[tex]f_{X}(x)=0[/tex] if x ∉ (a,b)
In the exercise we have [tex]X[/tex] ~ [tex]U(0,120)[/tex] , therefore the probability density function is :
[tex]f_{X}(x)=\frac{1}{120}[/tex] if x ∈ (0,120)
[tex]f_{X}(x)=0[/tex] if x ∉ (0,120)
If we want to find [tex]P(X>30)[/tex] we need to perform the integral
[tex]\int\limits^i_d {f_{X}(x)} \, dx[/tex]
Where [tex]d=30[/tex] and ''[tex]i[/tex]'' represents + ∞
Now, given that [tex]f_{X}(x)[/tex] is 0 when x ∉ (0,120), we will need to integrate between 30 and 120 to find the probability.
If we perform this integral ⇒
[tex]\int\limits^e_d {\frac{1}{120}} \, dx[/tex]
Where [tex]d=30[/tex] and [tex]e=120[/tex] ⇒
[tex]\int\limits^e_d {\frac{1}{120}} \, dx=\frac{3}{4}=0.75[/tex]
Answer my math question I asked so many times I lost most of points by
Answer:
A = -2/3
B = 8
C = -24
Line of symmetry calculation = x = -8/2*(2/3)
Line of symmetry is x = 6
Opens down
Min/man is (6,0)
Vertex is (6,0)
Domain is (-infinity, infinity)
Range is (-infinity, 0)
Brianna bought a sandwich, apple, and cookie for lunch. The total was $5. if a sandwich costs six times more than the cookie, and an apple costs three times more than the cookie, how much does each item cost?
Answer:
Cookie=0.5, Apple=1.5, sandwich= 3
Step-by-step explanation:
Lets say cookie = x, then sandwich = 6x since sandwich is 6 times more expensive, apple = 3x. function: 6x+3x+x =5
10x=5
x=0.5
Answer:
The cookie costs $0.50, the apple costs $1.50, and the sandwich costs $3.
Step-by-step explanation:
I multiplied 0.50 by 3 (for the apple) and got 1.50, then I multiplied 0.50 by 6 (for the sandwich) and got 3. I then added them all together and got 5.
Celina measured the height of a window frame as 5.55 feet, but the actual height was 6 feet. What is the percentage of error in Celina's measurement? (1 point) Question 11 options: 1) 6.45% 2) 7.50% 3) 9.12% 4) 13.33%
Is this Dolli Buchannan Its Alexis!!!!
what is the diffrince between 200,000 - 124,35
Answer:
76,650
Step-by-step explanation:
Answer: 187, 565
Step-by-step explanation:can i have brainliest?
A dining set is priced at $785. If the sales tax is 7 percent, what is the cost to purchase the dining set? Round to the nearest cent if necessary.
A. $54.95
B. $792.00
C. $839.95
D. $1134.50
Answer:
B is the correct answer
Is she correct or incorrect Explain why she is correct or incorrect?
we need more stuff sorry but we can't awnsers it doesn't give enough instructions but from that I would say incorrect
Answer:
She is correct
Somebody help me plz
Answer:
1/3
Step-by-step explanation:
scrie toti multiplii de trei cifre distincte ai numarului 5, care se pot forma cu cifrele: a) 5, 7 si 8; b) 0, 3 si 5. repede va roggg
Answer:
I will answer in English.
Here, we want to find all the 3-digit multiples of 5, that can be formed with the digits:
a) 5, 7, and 8. (i suppose that we can not repeat the digits)
First, we know that all the multiples of 5 end with a 5 or a 0, then the possible ones here are:
875
785
(the five must always be at the end)
b) 0, 3, and 5.
Now we have two options, if the 5 is at the end, we have:
305
(035 is not an option, because is a 2-digit number).
if 0 is at the end, we have:
350
530
what is the full from of math
Answer:
the full form of math is mathematics
hope it helps
Answer:
full form of mathematics. Explanation: M-miracle of nature. A-art of arithmetic. T-tool of knowledge.
Hope this helps, have a great day/night, and stay safe!
A warehouse store sells 4.5-ounce cans of tuna in packages of 3. A package of 3 cans costs $4.32. The store also sells 3.5-ounce cans of the same tuna in packages of 4. A package of 4 cans costs $3.92. The store sells 6.5-ounce cans in packages of 5 cans for $9.75. Which package is the best buy?
Answer:
The 6.5-ounce cans offer the largest size at a fair cost and is the best to buy.
Step-by-step explanation:
Size of the 4.5-ounce cans of tuna in package = 4.5 × 3 = 13.5 ounce
Cost of the package= $4.32
Size of the 3.5-ounce cans = 3.5 × 4 = 14 ounce
Cost of the package= $3.92
Size of the 6.5-ounce cans = 6.5 × 5 = 32.5 ounce
Cost of the package= $9.75
The 6.5-ounce cans offer the largest size and is the best to buy.
there were 240 customers yesterday, and 200 today, find the percent change.
The asnwer is:
% decrease
Determine the slope between (2, 10) and (5, 19)
Answer:
m=3
Step-by-step explanation:
(y2-y1)/(x2-x1)=m
9/3
3
HTH :)
Find the x-intercept(s) and the coordinates of the vertex for the parabola =y−x2−4x5. If there is more than one x-intercept, separate them with commas.
x-Intercept(s):
Vertex:
Answer:
x-intercepts -1, 5.
Vertex is at (2, -9).
Step-by-step explanation:
y = x^2 - 4x - 5
Completing the square:
y = (x - 2)^2 - 2^2 - 5
y = (x - 2)^2 - 9 which is vertex form.
So the coordinate of the vertex are (2, -9).
Finding the x-intercepts:
(x - 2)^2 - 9 = 0
(x - 2)^2 = 9
x - 2 = +/- 3
x = 3 + 2 or -3+2
= 5, -1.
can you help me pls it math slop
Answer:
Hi i am sorry but i can not seem to open the picture it say that there is not a file
Step-by-step explanation:
A 20 cm
B
Find the area of an equilateral triangle of each side 12 cm.
a)
4
*
Glidef
If you had 1 day to do anything... what would it be?
Answer: Simple. All the things that I could possibly do.
There are many wishes that I hold and with the opportunity given to do anything for one day, who knows what I could do? But one of the most important thing that I would really like to do is to meet someone that I really have wanted to meet for so long. That's one of the things that I'd truly like to do. Another thing is to have as much fun as I can. Be able to go somewhere or to visit something, that would be really nice. of course there are more things that I'd like to do but it would just be too much to list. :)
Answer:
if i had one day to do anything...
Step-by-step explanation:
i'd travel the world go to as many places as possible i'd meet as many pple as possible i'd try as many new things as possible... i'd go sky diving, i'd get a tattoo *alotta tattoos lol* i'd learn to surf, i'd go in a hot air balloon, i'd swim with dolphins, i'd try on wedding dresses, i'd buy Chanel just to show it off, then i'd give it away to some nice less fortunate kid. i'd just do everything on my bucket list yk? thanks for the pt's mate, much appreciated, blessings, xx, nm <3 :)
The volume of a cube is 1.5 m3. Find the length of its edge to the nearest tenth of a meter.
Given:
Volume of a cube = 1.5 m³
To find:
The length of its edge to the nearest tenth of a meter.
Solution:
Let a be the length of its edge.
We know that, volume of a cube is
[tex]V=a^3[/tex]
where, a is edge.
Volume of a cube = 1.5 m³
[tex]a^3=1.5[/tex]
Taking cube root on both sides, we get
[tex]a=\sqrt[3]{1.5}[/tex]
[tex]a=1.14471424[/tex]
Approximate the value to the nearest tenth (one decimal place) of a meter.
[tex]a\approx 1.1[/tex]
Therefore, the length of the edge of the cube is about 1.1 meters.
15.9-8.92 I suck at decimals
Answer:
6.98
Step-by-step explanation:
The answer would be 6.98 after subtracting 8.92 from the 15.9 after applying arithmetic operation.
What are arithmetic operations?The study of numbers and their operations, which are relevant to all other fields of mathematics, is part of the discipline of arithmetic operations. Addition, subtraction, multiplication, and division are the basic operations that make up this system.
It is given that:
The number expression is:
= 15.9-8.92
As we know from the definition of the arithmetic operation: Addition, subtraction, multiplication, and division are the basic operations that make up this system.
In the expression subtract 8.92 from the 15.9
After applying the arithmetic operation:
= 6.98
Thus, the answer would be 6.98 after subtracting 8.92 from the 15.9 after applying the arithmetic operation.
Learn more about the arithmetic operations here,
brainly.com/question/25834626
#SPJ6
Find the value of x. (6x - 3)º с 75° d The value of x is
answer: x = 18
have:
75 + 6x - 3 = 180
<=> 6x = 180 +3 -75 = 108
<=> x = 108/6 = 18
What is the y-intercept of the line y + 11=2(x+1.5)
Answer:
-8
Step-by-step explanation:
Turn the equation into slope intercept form [ y = mx + b ]
y + 11 = 2(x + 1.5)
~Distribute right side
y + 11 = 2x + 3
~Subtract 11 to both sides
y = 2x - 8
"b" represents the y-intercept, so, the y-intercept is -8.
Best of Luck!
Geometry Help huryyy!(pls right answers only) :(
Answer:
SRQ=24°
QTS=30°
RST=60°
RSQ=30°
Step-by-step explanation:
All angles in a triangle will always=180.
First we will find RQT
30+24+Q=180
Subtract 54 from each side
Q=126
Since All lines meet in the middle at Q, then each if those angle measures are equal.
We'll find SRQ first:
We don't know S but we know R is 24 and Q is 126
126+24+S=180
subtract 150
S=30°
QTS:
It tells us that T is 70° so that's all we need for this
RST:
We found half of S which was 30, so 30•2= 60 so RST=60
RSQ:
We already found the half of S which was 30°
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
Type of Meat
Price per pound
Ham
5.25
Roast Beef
3.50
Sausage
4.25
Turkey
3.85
Mike has $20 to spend at Steve’s. He orders ½ pound of Turkey and 2 ¼ pounds of Sausage. How much money will Mike have left after he pays for the order?
ACTUALLY ANSWER THE QUESTION OR YOU WILL BE REPORTED AND BANNED.
Answer:
$8.51
Step-by-step explanation:
3.85*.5=1.925
2.25*4.25=9.5625
20-1.925-9.5625=8.5125
Rounding down, Mike will have $8.51 left over. I am not sure how your teacher likes to handle rounding.
3x+8>9
x has to equal 1
(if you can please include the steps! i will give brainiest)
Answer:
11>9
Step-by-step explanation:
So you can begin by plugging x=1 into the equation
3(1)+8>9
3*1=3
3+8=11
11>9
Resolve into factors: 81a3 + 3b3
Answer: (3a+b)⋅(9a 2 −3ab+b2 )
Step-by-step explanation:
Sally left the city for vacation. Sandy left six hours later going 82 miles faster to catch up. After 5 hours Sandy caught up. What was Sally's average speed?
Answer: It took Sandy 11 hours to travel the same distance that Sam took 5 hours. {{{R[s]*11=5*75}}}
{{{R[s]=(5/11)*75}}}
{{{R[s]=34.9}}}{{{mph}}}
Don't ask sometimes i don't make sense...
The final answer is 11 hours... Hope this helps... Stay safe and have a great weekend!!! :D
Answer:
68 1/3
Step-by-step explanation:
Going 82 mph faster for 5 hours, Mary closed a (82 mi/h)×(5 h) = 410 mile gap. That gap was created in 3 hours by Sandy going.
(410 mi)/(6 h) = 68 1/3 mi/h
please mark me as brainliest. l am bagging you please.
We spotted two
during our hike through the park.
A. deer
B. deers
C. deeres
D. deered
Answer:
deer
Step-by-step explanation:
daffy + duck = Daffy Duck :)
PLEASEE HELP MEEEE !!!!!
Answer:
False
Step-by-step explanation:because 2:2 dont line up.
PLEASE ANSWER I GIVE POINTS:
A clothing store is advertising t-shirts on sale for (x-3) dollars and skirts for (x + 6) dollars. Write an expression that represents the cost of 5 t-shirts and 3 skirts.
Answer:
8x + 3
Step-by-step explanation:
The cost of 5 t-shirts and 3 skirts
= 5(x - 3) + 3(x + 6)
= 5x - 15 + 3x + 18
= (5x + 3x) + (-15 + 18)
= 8x + 3
Answer:
5(x-3)+ 3(x+6)
Step-by-step explanation:
5 (x-3)+ 3(x+6)
Jude researched the prices of several different models of cell phones and made a scatter plot of his data. The equation of the line of best fit for Jude’s data is p = -2.76t + 99.05 , where p is the price of the phone and t is the number of months that the phone has been available. What is the real-world meaning of the slope of this line?
a:A phone’s price increases by about $2.76 each month that it is available.
b:The original price of each phone was $2.76.
c:A phone’s price decreases by about $2.76 each month that it is available.
d:The original price of each phone was $99.05.
Answer:$4.76 each month
Step-by-step explanation:
A phone's price decreases by about $4.76 each month that it is available.
x
−
1
3
=
6
Give your answer as an improper fraction.
Answer:
x=19
Step-by-step explanation:
Basic Algebra.
x - 13 = 6
Simply move the 13 to the right side.
This involves changing the sign to positive, due to it being a negative integer.
The resulting outcome is
x = 13+6
Which concludes to
x=19