Answer:
The probability is [tex]0.0228[/tex]
Step-by-step explanation:
Let's start by defining the random variable [tex]G[/tex] as :
[tex]G:[/tex] '' The amount of gasoline sold each month to customers at Bob's Exxon station in downtown Navasota ''
Therefore, if [tex]X[/tex] is a continuous random variable that has a normal distribution, we write [tex]X[/tex] ~ [tex]N[/tex] ( μ , σ )
Where ''μ'' is the mean and ''σ'' is the standard deviation.
For the random variable [tex]G[/tex] we write :
[tex]G[/tex] ~ [tex]N(2500,250)[/tex]
We need to find [tex]P(G>3000)[/tex]
In order to calculate this, we are going to standardize the variable. This means, finding the equivalent probability in a normal random variable
[tex]Z[/tex] ~ [tex]N(0,1)[/tex]
We perform this because the random variable [tex]Z[/tex] ~ [tex]N(0,1)[/tex] is tabulated in any book or either you can find the table on Internet.
To standardize the variable we need to subtract the mean and then divide by the standard deviation ⇒
[tex]P(G>3000)[/tex] ⇒ P[ (G - μ) / σ > [tex]\frac{3000-2500}{250}[/tex] ] ⇒ [tex]P(Z>2)[/tex]
Because (G - μ) / σ ~ [tex]Z[/tex]
Finally, [tex]P(G>3000)=P(Z>2)[/tex] ⇒ [tex]P(Z>2)=1-P(Z\leq 2)[/tex] = 1 - Φ(2)
Where '' Ф(x) = [tex]P(X\leq x)[/tex] '' represents the cumulative function of [tex]Z[/tex]
Looking for Φ(2) in any table,
[tex]P(G>3000)=P(Z>2)=1-P(Z\leq 2)=1-0.9772=0.0228[/tex] ≅ %2.28
We found out that the probability is [tex]0.0228[/tex]
HURRY PLEASE!!! I NEED TO TURN THIS IS SOON!! I WILL GIVE YOU BRAINLIEST!!
i need the equation you solved it with also!
Answer:
x=31
Step-by-step explanation:
180-75=115
4x-9=115
4x=124
x=31
i need some help with this
What is the value of the expression -6 3/4 -1 3/12
Answer:
-8
Step-by-step explanation:
if Afsheen can read 39 pages of a book in half an hour how much will it take her to finish the book that is 1287 pages
We are given:
Afsheen can read 39 pages in 30 minutes
Time taken by Afsheen to read 1287 pages:
Time taken to read 1 page:
Time taken to read 1 page = time taken to read 39 pages / 39
Time taken to read 1 page = 30 minutes / 39
Time taken to read 1 page = 0.77 minutes
Time taken to read 1287 pages:
Time taken to read 1287 pages = Time taken to read 1 page * 1287
Time taken to read 1287 pages = 0.77 * 1287
Time taken to read 1287 pages = 991 minutes OR 16.52 hours (Approx)
Answer:
in 1 hour = 2×39= 78 pages
so 1287 pages= 1287÷78= 16.5 hours
Step-by-step explanation:
it takes 16. 5 hours that means 16 hours 30 min
A community hall is shape of a cuboid. The hall is 40 m long, 15 m wide and 3 m high. The community hall needs re-decorating with new point for the walls and ceiling, and new tiles on the floor. A 10 litre tin of paint covers 25m*25m and costs £10. 1m*1m floor tiles cost £3 each. Work out the total cost of paint and tiles needed to re-decorate the community hall.
Write two equivalent ratios for 8 and 9
Answer:
16:18
24:27
Step-by-step explanation:
16:18 ( multiply both numbers by 2)
24:27 ( multiply both numbers by 3)
Hope this helped even tho I am late
What is the atomic number of an atom?
A. the number of electrons and neutrons
B. the number of protons
C. the number protons and neutrons
D. the number of neutrons
Answer:
the number of protons in the nuclues of an atom
Can someone help me ASAP???
Four friends are in a swimming race. each Swim as many laps as they can and then tag the next one until they complete 50 laps the first swimmer completes 4/10 of the race. The 2ed completes 8 laps and the third summer complete 22% of the race how many laps will the last member have to swim to complete the race
Answer: The last member has to finish 11 more laps to complete 50 total laps
Step-by-step explanation:
[tex]\frac{4}{10}[/tex] of 50 = 20
2nd swimmer 8
22% of 50 = + 11
39 laps
---------------------------------------------
50 - 39 = 11 laps (4th and last swimmer)
---------------------------------------------
P.S. I think this answer is late now
Use the digit 5, 7, and 2 to write four numbers that are greater than 400.
All the possible numbers:
257275527572725752numbers greater than 400:
527572725752your answers : 527, 572, 725, 752
mrk as brainleist ☺️
7 comedy dvds, 4 more drama dvds than horror dvds. 15 dvds in all. how many drama and horror dvds are there?
Step-by-step explanation:
2 horror and 6 drama DVDs.
Let x be the no. Of horror dvds
15 = 7+ x+x+4
4=2x
x=2
What is 24×4
please answer and give expalnation
4x-3(x+4)=7 i need to know this i need help with this.
Answer:
x=19
Step-by-step explanation:
4x-3x-12=7
x-12=7
x=7+12
x=19
Answer:
x=19
Step-by-step explanation:
first you would distribute the -3 to the x and the 4 which would give you
4x-3x-12=7
next you would combine like terms (there's always an invisible 1 one front of a variable)
x-12=7
then to get the variable by itself you would add 12 on each side
x=19
hope this helped :)
answer thisss please
Answer:
Real numbers: Tick all of the numbers
Rational numbers: Tick all except 3.55687143...
Irrational numbers: Tick 3.55687143...
Integers: Tick 7 and -18
Whole number: Tick 7
Step-by-step explanation:
Real numbers are basically any number.
Rational numbers are numvers which can be converted into a fraction.
Irrational numbers are numbers which cannot be converted into a fraction.
Integers are whole numbers including negative numbers.
Whole numbers are the same as integers but do not include negative numbers.
Use substitution to solve the system.
x = 3y - 12
5x + 3y = 30
I would appreciate answers
Answer:
its ( 3,5) Equation form is: x = 3 , y = 5
Step-by-step explanation:
Kevin plants a total of 72 flower in equal rows. He plants 6 rows of of yellow flowers and 2 rows of red flowers. How any flowers are in each row?
Answer: 36
Step-by-step explanation: 72/6= 36
72/2= 37
3x - 17 = 2x + 35
Please help
Answer:
[tex]x = 52[/tex]
Step-by-step explanation:
We have the following equation:
[tex]3x -17=2x+35[/tex]
First we simplify the numbers.
[tex]3x -17+17=2x+35+17[/tex]
[tex]3x=2x+52[/tex]
[tex]3x-2x=2x-2x+52[/tex]
[tex]x=52[/tex]
Answer:
x = 52
General Formulas and Concepts:
Order of Operations: BPEMDAS
Step-by-step explanation:
Step 1: Define equation
3x - 17 = 2x + 35
Step 2: Solve for x
Subtract 2x on both sides: x - 17 = 35Add 17 to both sides: x = 52Step 3: Check
Plug in x to verify it's a solution.
Substitute: 3(52) - 17 = 2(52) + 35Multiply: 156 - 17 = 104 + 35Subtract/Add: 139 = 139Which expression is equivalent to -51-(-60)
Answer:
-51 + 60
Step-by-step explanation:
When subtracting with negative numbers use the "keep, change opposite" skill. Keep your first number which in this case, is -51, then change the subtraction sign to addition and lastly change the sign of your last digit which is (-60) so opposite of that just 60.
The proof that HG ≅ EG is shown.
Given: G is the midpoint of KF
KH ∥ EF
Prove: HG ≅ EG
Triangles F E G and K H G are connected at point G.
What is the missing reason in the proof?
Statement
Reason
1. ∠EGF ≅ ∠HGK 1. vert. ∠s are ≅
2. KH ∥ EF 2. given
3. ∠F ≅ ∠K 3. alt. int. ∠s are ≅
4. G is the midpoint of KF 4. given
5. FG ≅ KG 5. def. of midpt.
6. △FEG ≅ △KHG 6. ?
7. HG ≅ EG 7. CPCTC
SAS
ASA
AAS
HL
Answer:
ASA
Step-by-step explanation:
The Proof proves that two of the angles and the included side are equal making it the ASA theorem
The missing reason in the given proof is ASA.
What is Congruence of Triangles?Two or more triangles are said to be congruent if and only if sides and angles of one triangle is equal to the corresponding sides and angles of another triangle.
Given is a proof for the congruence of the lines HG and EG.
Given,
G is the midpoint of KF.
KH ∥ EF
Triangles F E G and K H G are connected at point G.
We have to prove HG ≅ EG.
From the given steps of proof,
we get two angles and the included side of triangle FEG is congruent to corresponding two angles and the included side of triangle KHG.
So by ASA theorem both triangles are congruent.
Hence the missing reason is ASA.
Learn more about Congruence Rules here :
https://brainly.com/question/20521780
#SPJ7
PLEASE HELP QUICK WILL GIVE BRAINLIEST
What is the new equation if the parent function, y = 2*, is reflected over the
asymptote, and vertically shifted 8 units up?
ABCD is a rectangle. The length of AC is 3x - 1. The length of BD is 2x + 5.
What is the length of AC?
a.3
b.6
c.13
d.17
Answer:
C.13
Step-by-step explanation:
What does this equal too(2x-5)^2
Answer:
4x² - 20x + 25
Step-by-step explanation:
(2x-5)² means (2x-5)(2x-5)
Expand the brackets.
1. do 2x times 2x = 4x²
2. do 2x times -5 = -10x
3. -5 times 2x = -10x
4. -5 times -5 = 25
Altogether it is 4x² - 10x - 10x + 25
This simplifies to 4x² -20x + 25.
what linear function contain the following point (-4, 4) and (0, 5)
Answer:
y = 1/4x + 5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Random Point (-4, 4)
y-intercept (0, 5)
Step 2: Find slope m
Substitute: [tex]m=\frac{5-4}{0+4}[/tex]Subtract/Add: [tex]m=\frac{1}{4}[/tex]Step 3: Write linear equation
y = 1/4x + 5
HELP ME OUT REAL QUICKKKKKKKKKKKKK
HELP ME PLSSS Which of the following number sentences is an example of the associative property of multiplication?
O (12 * 3) 8 = 12 (3 x 8)
6x1 = 6
4* 5 = 5 x4
20 * (10 + 6) = (20 x 10) + (20 * 6)
Answer:
The first or third one
Step-by-step explanation:
Associative property is where you can switch the place of the digits and it still have the same answer in the end.
Use proportions to solve. A person is standing near a tree. The person is 5 feet tall and casts a shadow that is 3 feet long. The tree casts a shadow that is 7 feet long.Use proportions to solve. A person is standing near a tree. The person is 5 feet tall and casts a shadow that is 3 feet long. The tree casts a shadow that is 7 feet long.
Answer:
d
Step-by-step explanation:
make me brainelist
What is the value of P(S and T)?
A.
B.
C.
D
Answer:
0.25 but I am not sure umm I think
can someone please help
f(t) = 2t - 3
f(7)=
2-(-8)+(-3)= I just need the answer not the work
Answer:
7
Step-by-step explanation:
:)
(Giving brainliest!!!)
How do you solve 7,124 ÷ 26 using standard algorithm?
Answer:
274
Step-by-step explanation:
The standard algorithm of multiplication is based on the principle that you already know: multiplying in parts (partial products): simply multiply ones and tens separately, and add.
However, in the standard way the adding is done at the same time as multiplying. The calculation looks more compact and takes less space than the “easy way to multiply” you have learned.(i really think this is correct but I am so so sooo sorry if it's not!!!!)
When is the sum of two integers equal to zero? Explain.
Answer:
Rule: The sum of any integer and its opposite is equal to zero. Summary: Adding two positive integers always yields a positive sum; adding two negative integers always yields a negative sum. To find the sum of a positive and a negative integer, take the absolute value of each integer and then subtract these values.
Step-by-step explanation:
Hope this helped if so leave a rating! :)
THANKS!