The amount of gasoline sold each month to customers at Bob's Exxon station in downtown Navasota is a random variable. This random variable can be described as having a normal distribution with mean 2500 gallons and a standard deviation of 200 gallons (and there is no seasonal variation in sales). Exxon will give Bob an all-expense paid trip to College Station, including a free dinner at Burger King, if his station pumps more than 2800 gallons in any one month.
What is the probability that Bob will win that wonderful trip on the basis of his gasoline sales this month?
Answer:
The probability that Bob will win that wonderful trip on the basis of his gasoline sales this month
P(X≥ 2800) = P(Z₁≥1.5) = 0.0768
Step-by-step explanation:
Step(i):-
Mean of the Population (μ) = 2500 gallons
Standard deviation of the population (σ) =200 gallons
Let 'X' be a random variable in Normal distribution
Given X = 2800
[tex]Z = \frac{x-mean}{S.D} = \frac{2800-2500}{200} = 1.5[/tex]
Step(ii):-
The probability that Bob will win that wonderful trip on the basis of his gasoline sales this month
P(X≥ 2800) = P(Z₁≥1.5)
= 0.5 - A(Z₁)
= 0.5 - A(1.5)
= 0.5 -0.4232 ( from normal table)
= 0.0768
Conclusion:-
The probability that Bob will win that wonderful trip on the basis of his gasoline sales this month
P(X≥ 2800) = P(Z₁≥1.5) = 0.0768
The circumference of a circle is equal to n times its diameter. Estimate the circumference of a round swimming pool that has a diameter of 24 feet. Use n=3.14. *
Answer: An estimate done quickly: The circumference is about 75 ft.
Step-by-step explanation:
Round π to 3, and 24 to 25. 3 times 25 is 75
A more exact value would be 75.36
3.14 × 24 = 75.36
How many decimal places are in the product 4.4x0.99x6.3?
Answer:
4
Step-by-step explanation:
4.4*0.99=4.356
4.356*6.3=27.4428
so the decimal places here would be 4
A Delta 727 traveled 2520 miles with the wind in 4 5 hours
and 2160 miles against the wind in the same amount of time
.
Find the speed of the plane in still air and the speed of the
wind
Answer:
40m ph
Step-by-step explanation:
i think i em right but not sure hope it right
Explain the process to solve the equation. Use proper vocabulary in your explanation. One-fourth x = negative five-eighths
Answer:
-2.5
Step-by-step explanation:
Your want to isolate the x. This is a multiplication problem, so use the inverse operation, which is division. Divide both sides of the equation by
1/4 by multiplying by the reciprocal, 4. (− 5
8)(4) is − 5/2. Use substitution to check the answer. x = − 5/2 :)
Answer: First, you isolate x by dividing 1/4 on both sides.
1/4x divided by 1/4 equals zero, which just leaves x, and -5/8 divided by 1/4 equals -5/2, so x = -5/2. -5/2 can be simplified to -2.5,
To check the answer, substitute x for -5/2:
* 1/4 multiplied by -5/2 equals -5/8
* 5/8 = 5/8, so this proves that my answer is correct.
If 3 toasters cost $84.21 and the price of each toaster is the same, how much does each
toaster cost
Answer:
28.07
Step-by-step explanation:
In triangle ABC the measure of angle A is 3x+5, the measure of angle B is 4x-2 and the measure of angle C is 2x+6. What are the measures of the angles?
Answer:
Step-by-step explanation:
2x + 3 + 4x + 2 + 2x - 1 = 180 (bc the sum of the angles of a triangle = 180)
8x = 176
x = 22
2x + 3 = 47
4x + 2 = 90
2x - 1 = 43
Please explain how to find the angle
We are given:
A right angled triangle with Perpendicular = 16 and base = 11
∠A = θ
Finding θ:
Using basic trigonometry, we know that Tanθ = Opposite / Adjacent
replacing the values for the angle θ
Tanθ = 11 / 16
[since 11 is the opposite side and 16 is the adjacent side to the angle]
θ = ArcTan(11/16)
θ = 34.5° OR 0.6 radians
Josh is hanging out on his third floor balcony when he hears his friend in the parking lot below. His friend asks Josh to toss him a phone. The height of
the phone in feet can be modeled by A(z) = -162? +32x + 48, where x is seconds after Josh throws the phone.
a) How long does it take for the phone to hit the ground?
Seconds
b) How high is Josh's balcony above the parking lot? 64
feet
c) What was the maximum height the phone reached?
Teet
d) When did it reach this mascimum height?
seconds
2
3
4
Answer:
3 seconds
Step-by-step explanation:
PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEE HELP ME
Answer:
Second, first, fourth, third.
Step-by-step explanation:
Second, first, fourth, third
Answer:
from least to greatest:
sea grass, red algae, green seaweed, mangrove.
mangrove is the shallowest depth
sea grass is the deepest
if the question is asking which is the deepest, then the answer is sea grass.
if the question is asking which number has the greatest value, the answer is mangrove.
if the question is asking which number has the greatest absolute value, then the answer is sea grass.
my guess is to start with mangrove. so put the values in as mangrove, green seaweed, red algae, sea grass.
if this is not correct, which it should be, put in these values as the opposite order. This is based on how you interpret the question.
An item costs $0.11 per ounce. If the total cost of the item is $8.80, how many
ounces are in the item?
Answer:
88
Step-by-step explanation:
A pile of string measures to be 4 5/6 feet long. For a project Ms. Thompson wants to cut the long piece of string into several smaller pieces. Each piece that she cuts will measure 2/3 feet. How many whole pieces can she cut from the original piece of string if each piece is 2/3 feet long?
Answer:
7 pieces
Step-by-step explanation:
change 4 5/6 into an irregular fraction. 29/6
divide 29/6 by 2/3. to do this, flip and multiply
29/6 * 3/2 = 87/12 = 7.25 or 7 whole pieces
There are 36 squares on each red and white checkered tablecloth. How many squares are there on 7,011 tablecloths? huryyyyyyyyyyyyyyyyyyy plz :(
Multiplying means adding a value a given number of times to zero
The number of squares in 7,011 tablecloths is 252,396 squares
The above number of squares in 7,011 tablecloths is correct for the following reason:
The known number of squares on each red and white checkered tablecloth = 36 squares
Required:
The number of squares in 7,011 tablecloths
Solution;
To find the number of squares on the 7,011 tablecloths, we have;
Number of squares in a given number of units of tablecloth = Number of squares per unit of tablecloth × Number of tablecloths
∴ Number of squares in 7,011 tablecloths = 36 squares × 7,011 tablecloth
Number of squares in 7,011 tablecloths = 36 squares × 7,011 tablecloth = 252,396 squares
The number of squares in 7,011 tablecloths = 252,396 squares
Learn more about multiplication here:
https://brainly.com/question/20574776
How much could they charge per ticket to break-even (make $0 profit)?
Answer:
I don't think I understand but I will do my best. to get $0 profit you could give the tickets out for free
Step-by-step explanation:
also CREATI stop deleting my answers please!
A laptop computer consumes about 20 watts of electricity per hour when operating. At 10 cents per kilowatt-hour, how much does a laptop cost to operate for 5 hours?
Answer:
It cost 50 cents and if you need to know it uses 500 watts.
QR is the midsection of triangle GHJ, what is the length of QR?
Answer:
Step-by-step explanation:
QR = 27 ÷ 2 = 13.5
Jack dances clockwise around the Maypole, making one revolution every five seconds.
Starting from a point diametrically opposite Jack's starting point, Jill dances anticlockwise, making one revolution every six seconds.
How many times do they pass each other in the first minute?
Answer:
12 times. one min is 60 seconds. Jill went around 10 times. Jack 12 times. However Jack still passed Jill during his 12 revolutions. Her number is insignificant after you know who made more revolutions per min
the value of the digit 2 in the thousands place
Answer:
2,000 is the value of the digit 2 in the thousands place
Erik is building a cubby bookshelf, that is, a book shelf divided into storage holes (cubbies) instead of shelves. He wants the height of the bookshelf to be x2−4x−45
and the width to be x2+7x+10. Each cubby hole in the bookshelf will have a height of x+2 and width of x−9
.
Answer:
Step-by-step explanation:
Factor your equations using the fact that x²-Sx+P represents the general equation where S is the sum of roots and P the product of roots.
What roots will have the sum S=4 and product P= -45 ,
will have 5 and -9, S=5-9=-4✅ and P=5*(-9)=-45✅
x²-4x-45 = (x-root1) (x-root2) = (x+5)(x-9)
S=-7 and P=10 , so the roots are -5 and -2
x²+7x+10= (x+5)(x+2)
I am not sure what is your question yet you frobably need to factor the 2 given equation so you will have a bookshelf of (x+5)(x-9) by (x+5)(x+2)
8. Jordyn bought a $50 cell phone case that was discounted 15%. Taxes were 5%. What was her total
cost?
Explained pls
The scale factor for the reduction is . The length of A = 20 (one-fifth) = 4 feet What is the length of B? B = feet
Answer:
1/5 5
Step-by-step explanation:
Answer: The scale factor for the reduction is 1/5. B= 5 feet
Step-by-step explanation:
The scale factor for the reduction is 1/5.
The length of A=20 (1/5)= 4 feet
What is the length of B?
B= 5 feet
Convert 292 km/hr to m/s. Round to 1 decimal.
Answer:
to convert from km/hr to m/s292 × 1000/60 × 60292000/360081.111181.1m/s to 1 decimal places3c + 5d = 7d – 6c, solve for d
Answer:
-3c+12d
Step-by-step explanation:
The Canadian side of Niagara Falls has a flow rate of 600,000 gallons per second. How many gallons of water flow over the falls in 1 minute?
Answer:
hope this helps 3,160 tons of water flows over Niagara Falls every second. This accounts for 75,750 gallons of water per second over the American and Bridal Veil Falls and 681,750 gallons per second over the Horseshoe Falls.
Step-by-step explanation:
brainlist would help thx
Please I need help badly I also have stuff on my account
Answer:
y=80 I'm pretty sure lmk if it's wrong
Answer:
40
Step-by-step explanation:
edgunity
WHAT % OF 10 DOLLARS = 7 DOLLARS
Answer: 70%
Step-by-step explanation:
I really don’t understand slopes , and I really need help
Answer:
put it right to the 8
Step-by-step explanation:
Plz help fast. Thank you and if you solve this you will earn 15 points. Just plz help. And if you add an explanation to your answer I might mark Brainiest. Plz just help.
Answer:
-5.1, -14/3, -4
Step-by-step explanation:
Answer:
Step-by-step explanation -14 ,-15.1 -14/3
Help what should I write
Answer:
not multiplying 3 by 5 it should be 15 over 10 and not 3 over 30
Step-by-step explanation:
What is the next term in the sequence 5, -15, 45, -135, ...?
270
405
675
-270
Answer:
the next term in the sequence would be 405.