Demand per hour for gasoline at a local station is normally distributed with a mean of 1510 gallons and std deviation of 57 gallons. What is the probability that demand for a particular hour is greater than 1600 gallons? Enter your answer as a decimal, rounded to 4 decimal places
Answer:
0.057168
Step-by-step explanation:
Given :
Mean = 1510
Standard deviation = 57
P(X > 1600)
To obtain the Zscore we use
(x - mean) / σ
P(Z > 1600) = P(Z > (x - mean) / σ)
P(Z > (x - mean) / σ) = P(Z > (1600 - 1510) / 57)
P(Z > 1.579) = 0.057168 (Z probability calculator)
A) Do the following lengths form a right triangle? Prove it by SHOWING YOUR WORK. 0 6 8 9
Answer:
friend me on here and imma send you the link Step-by-step explanation:
The average (also called mean) number of calories I consumed in the last 4 days is 2100. Today I decided to splurge and consumed 3000 calories. What is my new average consumed calories, now accounting for 5 days?
for homework lawl
Evaluate each expression when x is 4 and y is 6.
(6-x)3 + y
Philip wants to buy a new video game system that costs
$349.99 including tax. Philip has $125.50 saved. If
Philip mows grass for $15.00 per yard, what is the least
amount of yards he could cut to purchase the new video
game system?
Answer:
I think the answer I think the answer would be 14
PLEASEEEEEE PLEASEEEEEE HELPPPPPP IM BEGGING SOMEONE PLEASEEEEEEE I REALLY NEED HELPPPPPPPPPP
Answer:
Step-by-step explanation:
4x-5+3x+5+40=180 degree(sum of interior angles of a triangle)
7x+40=180
7x=180-40
x=140/7
x=20
To make a newspaper with 60 pages you need 15 sheets of paper which are on top of each other. Then they are folded together. Page 7 is missing. Which other pages are missing in this newspaper?
Answer: here’s your answer
Step-by-step explanation:
pages are 60
sheet 15
on one sheet we get no of
pages=60/15=4
on one sheet we get 4 pages
they are stuck each other
so
let we consider
on1st sheet page no 1=60
2=59
so 7pageno. missing with also 8
(because attaching each other)
7=60-7
8=60-8
answer is 7,8,52,53pages are 60
sheet 15
on one sheet we get no of
pages=60/15=4
on one sheet we get 4 pages
they are stuck each other
so
let we consider
on1st sheet page no 1=60
2=59
so 7pageno. missing with also 8
(because attaching each other)
7=60-7
8=60-8
answer is 7,8,52,53
A football field is a rectangle 80 meters wide and 110 meters long. Coach Trevor asks his players to run from one corner to the other corner by running diagonally across the field. What is the distance from one corner of the field to the other corner? Answer choices are rounded to the nearest meter.
Answer:
136
Hypothenus² = Opposite² + Adjacent²
H²= 110² + 80²
H²= 18500
H= √18500
H = 136m
Can I get help with number 16.
Estimate the difference of the decimals below by rounding to the nearest whole number.
23.827
- 1 .218
Answer:
23
Step-by-step explanation:
The difference between the 23.827 - 1.218
23.827 - 1.218 = 22.609
By rounding to the nearest whole number it is 23.
The perimeter of this rectangle is 30 units. How long is the longer side?
a. 24 units
b. 9 units
c. 5 units
d. 6 units
Answer:
b. 9 units
Step-by-step explanation:
30/2 -6 = 15-6 = 9
Answer:
9
Step-by-step explain
6+6=12
12+x=30
30-12=18
18/2 =9
Let g(t)= t−16 t−4. a. Make two tables, one showing the values of g for t=15.9, 15.99, and 15.999 and one showing values of g for t=16.1, 16.01, and 16.001. b. Make a conjecture about the value of limt→16 t−16 t−4.
Answer:
[tex]\lim_{t \to \ 16} (t-16)(t-4) =0[/tex]
Step-by-step explanation:
g(t)= (t-16)(t-4)
(a) Then, we have,
t g(t)
15.9 -1.19
15.99 -0.1199
15.999 -0.011999
Also, we have,
t g(t)
16.1 1.21
16.01 0.1201
16.001 0.012001
(b) We can see, from the above table that as 't' tends to 16 from the left hand side, the value of g(t)= (t-16)(t-4) is tending to 0 from the negative direction.
Similarly, from the second table, we can see that as 't' tends to 16 from the right hand side, the value of g(t)= (t-16)(t-4) is tending to 0 from the positive direction.
Thus, we can say that [tex]\lim_{t \to \ 16-} (t-16)(t-4)[/tex] & [tex]\lim_{t \to \ 16+} (t-16)(t-4)[/tex], i.e., the left hand limit and right hand limit of g(t)= (t-16)(t-4), at t=16, both exist and is both equal to 0.
Since both these limits exist and are equal, we can say, [tex]\lim_{t \to \ 16-} (t-16)(t-4) = \lim_{t \to \ 16+} (t-16)(t-4) = \lim_{t \to \ 16} (t-16)(t-4) = 0[/tex]
the equation s=2√5x can be used to estimate the speed ,s,of a car in milles per hour, given the length in feet ,x, of the tire marks it leaves on the ground .A card travelling 90 miles per hour came to a sudden stop according to the equation ,how long would the tire marks be for this car A 355 feet B 380 feet C 405 feet D 430 feet
Answer:
405 feet
Step-by-step explanation:
s = 2 * (√5) * 90
s = 2 * 201.246117975
s = 402.49223595
Closest estimate
405 feet
Answer:
Since The equation that depicts the motion of the Car is given.
The speed in terms of the tire marks...
s= 2√5x
where x is the tire marks(in feet.)
s is the speed(miles per hr)
We can't use the speed in Miles per hr when the tire mark is feet.
1mile = 5280ft
90miles x 5280ft/1mile = 475,200ft/hr
Making x the subject
x= s/2√5
x= 475/200/(2√5 )
=106,257ft
I still can't see what I'm missing or You sure you didn't forget to add something else to the question?
To solve a system of inequalities, you just need to graph each inequality and see wich points are in the overlap of the graphs.
True or false?
This is often how many math teachers and textbooks approach problems like this. The overlapped region is the region in which satisfies every inequality in the system. Be sure to note the boundary of each region whether you're dealing with a dashed line or a solid line. Dashed lines mean points on the boundary do not count as solution points, whereas solid boundaries allow those points as part of the solution set.
Side note: This is assuming you're dealing with 2 variable inequalities. If you only have one variable, you don't need to graph and instead could use algebra. Graphing doesn't hurt though.
Lynn is tracking the progress of her plant's growth. Currently the plant is 11 The plant grows 1.2 cm per day. Find an equation that represents the plant's height after any given number How tall is the plant after 9 days?
Answer:
the equation is 11+1.2d= h so the height after 9 days would be 21.8cm
Step-by-step explanation:
Answer:
f(h) = 11 + 1.2h
f(9) = 21.8 cm
Step-by-step explanation:
let 'h' = height
f(h) = 11 + 1.2h
height after 9 days:
f(9) = 11 + 1.2(9)
= 11 + 10.8
= 21.8 cm
A semi-circle with a diameter of 6 cm sits on top of an isosceles trapezoid. Find the area of the entire figure.
Answer:
86.13 cm²
Step-by-step explanation:
the area of the entire fig =
(½×3.14×3²) + (½×(10+6)×9)
= (14.13)+(72) = 86.13
root beer is priced at $2.88 for 6 cans
what is the cost of one can?
Answer:
0.48
hope this helps
have a good day :)
Step-by-step explanation:
Name 5 possible values for x from the inequality 2x ≤ 28
Answer:
1, 2, 3, 4, 5
If you substitute these values, it will be below 28
Alternative method:
x <= 28/2
x <= 14
Hence, all values 14 and below can be used
Feel free to mark it as brainliest :D
The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 7 minutes. Find the probability that a randomly selected passenger has a waiting time
greater than 1.25 minutes.Find the probability that a randomly selected passenger has a waiting time greater than 1.25 minutes.
Answer:
0.8214
Step-by-step explanation:
We have
F(x) = 1/b-a
With b = 7
And a = 0
Such that we have
1/7-0
= 1/7
Probability of x> 1.25
7-1.25
= 5.75
1/7 x 5.75
= 0.8214
Therefore the probability that a randomly selected passenger has a waiting time more than 1.25 minutes is = 0.8214.
Thank you!
To which graph does the point (−1, 3) belong?
y ≥ 2x + 6
y ≥ 3x − 1
y ≥ −x + 4
y ≥ −2x + 5
Answer:
second option "y ≥ 3x − 1."
Step-by-step explanation:
Just solved it
Easy variable question pls help
Answer:
z = -4 1/2
Step-by-step explanation:
1. First change the mixed fractions to improper fractions so it's easier
[tex]\frac{16}{5\\}/(z-\frac{1}{2}) = \frac{8}{3}/(z+\frac{1}{3})[/tex]
2. Simplify
[tex]\frac{32}{5(2z-1)} = \frac{8}{3z+1}[/tex]
3. Cross multiply
[tex]32(3z+1) = 5(2z-1) * 8[/tex]
4. Simplify again (distributive property)
[tex]32(3z+1) = 40(2z-1)[/tex]
5. Distributive property
[tex]32(3z+1) -> 96z+32[/tex]
[tex]40(2z-1) -> 80z-40[/tex]
[tex]96z+32=80z-40[/tex]
6. Subtract 32 from both sides
[tex]96z+32-32 = 80z-40-32[/tex]
7. Simplify
[tex]96z = 80z-72[/tex]
8. Subtract 80 from both sides
[tex]96z-80z=80z-72-80z[/tex]
9. Simplify
[tex]16z=-72[/tex]
10. Divide both sides by 16
[tex]\frac{16z}{16}=\frac{-72}{16}[/tex]
11. Simplify
[tex]z=-\frac{9}{2} -> also = -4\frac{1}{2}[/tex]
Sorry if it was too long but hope this helps! :)
And also try using symbolab cuz it gives step by step explanations it's really good!
The mean of a standard normal probability distribution _____. a. can be any value b. can be any value as long as it is positive c. is always equal to 1 d. None of these answers are correct.
Answer:
D
Step-by-step explanation:
The mean of a standard normal distribution is always = 0 with the standard deviation being equal to. Therefore a standard normal distribution is a normal distribution described with a mean of 0 and standard deviation of 1. Since a standard normal distribution is centered at the middle with equal distribution to both the left and right of the distribution. The centre point is 0, which is the mean and the standard deviation is 1 to either side of the distribution.
An advertising company charges $40 per half - page advertisement and $75 per full-page advertisement. Michael has a budget of $800 to purchase 13 advertisements. A) Define a variable for each unknown. Write a system of equations to represent the situation. B( How many half-page advertisements does Michael purchase? Show Your Work. C) How many full-page advertisements does Michael purchase? Show your Work. ( Will Mark Brainliest but have to show work) Answer A, B & C. No links or nonsense answers please.
The number of half page advertisements that Michael purchased is 5 while the full page advertisements is 8.
Let the number of half page ads be represented by h
Let the number of full page ads be represented by f.
Therefore, the system of equations to represent the situation will be:
h + f = 13 ....... i
40h + 75f = 800 ........ ii
From equation i,
h = 13 - f ....... equation iii
Put the value of h into equation ii
40h + 75f = 800
40(13 - f) + 75f = 800
520 - 40f + 75f = 800
Collect like terms
75f - 40f = 800 - 520
35f = 280
f = 280/35
f = 8
The number of full-page advertisements that Michael purchased is 8.
Since h + f = 13
h + 8 = 13
h = 13 - 8
h = 5
The number of half page advertisements that Michael purchased is 5.
Read related link on:
https://brainly.com/question/24429956
A rectangular prism has a length of 2 feet, a width of 6 feet, and a height of 3, teet. What is the volume of the prism? Enter your answer in the box as a simplified mixed number or a decimal
Answer:
V = 36 ft3
Step-by-step explanation:
2*6= 12
12*3= 36ft
Could someone answer for this for me?
Can someone answer this?
Answer:
Step-by-step explanation:
6x-1+3x+5x+3+4x+8+5x+5=360 degree(sum of exterior angle of a pentagon is 360 degree)
23x+15=360
23x=360-15
x=345/23
x=15
therefore the value of x is 15 degree.
Plz help me well mark brainliest if correct,.....???.
Answer:
B: 6
the heights between 45 and 55 are : 46, 49, 50, 50, 52,52
thats 6 students
Step-by-step explanation:
please mark brainliest
your friend borrowed 1050 from you to buy a new dirt bike. your friend pays you back the principal plus 7.25% interest per year for 3 years. what is the total amount your friend will owe you at the end of 3 years
Answer:
12.78375
Step-by-step explanation:
7.25% of 10.50 = 0.76125
0.76125 × 3 = 2.28375
10.50 + 2.28375 = 12.78375
So his friend will owe him 12.78375
Plz help me well mark brainliest if correct
Answer:
B) producers
Step-by-step explanation:
producers use water, air, and sunlight to make there own food and energy.
Would anyone help me with this,please ?
Answer:
angle 2 and 4....1and 3
Step-by-step explanation:
the lines bisects each other forming two equal but adjacent angles which are vertically opposite