Answer:
6.25 percent thats the answer
The level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in the exhaust over the useful life ( 150,000 miles of driving) of cars of a particular model varies Normally with mean 85 mg/mi and standard deviation 6 mg/mi. A company has 16 cars of this model in its fleet. Using Table A, find the level such that the probability that the average NOX + NMOG level ¯ for the fleet greater than is only 0.01 ?
Answer:
Mg/mi. A Company Has 16 Cars Of This Model In Its Fleet. ... The level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in d ... organic gas (NMOG) in the exhaust over the useful life (150,000 miles of driving) of cars of a particular model varies Normally with mean 85 mg/mi and standard deviation 6 mg/mi.
Step-by-step explanation:
Using the normal distribution and the central limit theorem, it is found that the level is 88.49 mg/mi.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, for the sampling distribution of sample means of size n, the standard deviation is [tex]s = \frac{\sigma}{\sqrt{n}}[/tex]In this problem:
Mean of 85 mg/mi, thus [tex]\mu = 85[/tex]Standard deviation of 6 mg/mi, thus [tex]\sigma = 6[/tex]Sample of 16 cars, thus [tex]n = 16, s = \frac{6}{\sqrt{16}} = 1.5[/tex]This level is the 1 - 0.01 = 99th percentile, which is X when Z has a p-value of 0.99, so X when Z = 2.327. Then:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]2.327 = \frac{X - 85}{1.5}[/tex]
[tex]X - 85 = 2.327(1.5)[/tex]
[tex]X = 88.49[/tex]
The level is 88.49 mg/mi.
A similar problem is given at https://brainly.com/question/12403209
What is the slope of a line perpendicular to the line whose equation is x +y = 3.
Fully reduce your answer.
Answer:
slope = 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
x + y = 3 ( subtract x from both sides )
y = - x + 3 ← in slope- intercept form
with slope m = - 1
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-1}[/tex] = 1
HELP :) GIVING BRAINLIEST
Answer:
5/4
Step-by-step explanation:
Rise/Run
5/4
#3 - 8.5G
Which set of ordered pairs does not show y as a function of x?
A. {(1, -2): (3,-3); (5,-4); (3,-5)}
B. {(2,-2): (4, -2): (6,-2): (8,-2)}
C. {(4,-2): (3,-3): (2, -4): (1,-5)}
D. {(2,-2); (3,-3); (4, -7); (5, -8)}
Answer:
A
Step-by-step explanation:
in order for it to be a function the x needs to have only one y, in this case the x is repeated for two different y's
Round 1,497 to the nearest ten
PLEASE HELP PLEASE i really need help
Answer:
The constant of proportionality is 6 because 6x2=12 6x4=24 6x6=36 and it keep going
Step-by-step explanation:
Brainliest to best answer.
help plsss i really need it
Answer:
can u re-upload the image i cant see it
Step-by-step explanation:
A jar contains 20 yellow jellybeans, 20 orange jellybeans, 20 red jellybeans and 20 green jellybeans.
Required:
a. In how many ways can you put all the jellybeans in a row?
b. How many ways are there to select a handful of 20 jellybeans?
c. How many ways are there to select a handful of 20 jellybeans that contains at least 3 red?
d. How many ways are there to select a handful of 20 jellybeans that contains at least 3 red and at most 2 orange?
Answer:
A)
[tex]\left \{ {{80} \atop {20}} \} * \left \{ {{60} \atop {20}} \} * \left \{ {{40} \atop {20}} \} * \left \{ {{20} \atop {20}} \}[/tex]
B)
[tex]\left \{ {{20+4-1} \atop {4-1}} \} = \left \{ {{23} \atop {3}} \}[/tex]
C)
= [tex]\left \{ {{17+4+1} \atop {4-1}} \} = \left \{ {{20} \atop {3}} \}[/tex]
D)
= [tex]\left \{ {{20} \atop {3}} \} - \left \{ {{17} \atop {3}} \}[/tex]
Step-by-step explanation:
A) How many ways can you put all Jellybeans in a row
Total number of Jellybeans = 80
The first jellybeans = 20 yellow , second is 20 orange jellybeans , third is 20 red jellybeans , fourth is 20 green jellybeans
Therefore the number of ways the Jellybeans can be put in a row is :
[tex]\left \{ {{80} \atop {20}} \} * \left \{ {{60} \atop {20}} \} * \left \{ {{40} \atop {20}} \} * \left \{ {{20} \atop {20}} \}[/tex]
B) How many ways are there to select a handful of 20 jellybeans
lets assume:
yellow jellybeans = a , orange jellybeans = b , red jellybeans = c , green jellybeans = d
a + b + c + d = 20
This is the number Non-negative integer solutions
= [tex]\left \{ {{20+4-1} \atop {4-1}} \} = \left \{ {{23} \atop {3}} \}[/tex]
C) This is also the number of Non-negative integer solutions but in this case the value of C ≥ 3
hence the number of ways to select a handful of 20 jellybeans that contains at least 3 red
= [tex]\left \{ {{17+4+1} \atop {4-1}} \} = \left \{ {{20} \atop {3}} \}[/tex]
D) In this case the value of C ≥ 3 and B ≤ 2
Hence the number of ways to select a handful of 20 jellybeans that contains at least 3 red and at most 2 orange
= [tex]\left \{ {{20} \atop {3}} \} - \left \{ {{17} \atop {3}} \}[/tex]
(18/10)(8/3) operación matemática
Answer:
4.8
Step-by-step explanation:
(18/10)(8/3)
18*8= 144
10*3= 30
144/30 =4.8
Module 3 Topic c Quiz
8.G.B.4 - Explain a proof of the Pythagorean Theorem and its converse.
8.G.B.5 - Apply the Pythagorean Theorem to determine unknown side lengths in right
triangles in real world and mathematical problems in two and three-dimensions
1) The side lengths of four triangles are listed below. Determine whether each triangle
is a right triangle
Choose Yes or No for each set of side lengths.
a. 4,5,6
Yes No
b. 5, 12, 13 Yes No
c 8, 15, 17
Yes No
d. 10, 15, 20
Yes No
Answer:
hey listin i will try to help you as much as i can ok
Step-by-step explanation:
Lorenzo wants to earn more than $3200 to buy a car stereo system. To earn the money he will
mow lowns for $10 per hour and paint houses for $18 per hour. Let x be the number of hours
mowing lawns and y be the number of hours painting. Which inequality represents this
situation?
A.18x+10y<3200
B.10x+18y>3200
C.10x+18y>3200
D.18x+10y>3200
witch one of these is the answer?
Answer:
c
Step-by-step explanation:
Nice profile picture
Answer:C 10x+18y>3200
Step-by-step explanation:
Which is the equation of a line with a slope of −13 - 1 3 and a y-intercept at (0, 1) 0 , 1 ?
A 12-sided die is rolled. The set of equally likely outcomes is {1,2,3,4,5,6,7,8,9,10,11,12}. Find the probability of rolling a 2
Answer:
1/12
Step-by-step explanation:
There are 12 equally likely outcomes. 1 of the outcomes is a 2. So the probability is 1/12.
Answer:2/12 or simplified 1/6
Step-by-step explanation:
help i’m timed 6th grade math
Answer:
c
Step-by-step explanation:
because I'm smart and I am in 7th grade
A store sells regular coffee for $5 a pound and gourmet coffee for $8 a pound. To get rid of 30 pounds of the gourmet coffee, a shopkeeper makes a blend to put on sale for $6 a pound. How many pounds of regular coffee should he use?
Answer:
60 pound
Step-by-step explanation:
Calculation for How many pounds of regular coffee should he use
Let pounds of regular coffee be x
Let value of regular coffee be 5x
Let cost of gourmet coffee be 8
Let value of gourmet coffee be 8*30
Let pounds of mixture be 30+x
Let value of mixture be 6(30+x)
Equation:
5x+(8*30)=6(30+x)
5x+240=6(30+x)
Now Let Solve for x:
5x+240=180+6x
240-180=6x-5x
60=1x
x=60/1
x=60
Therefore, he should use $60 pounds of regular coffee
Help I can give brainliest
Answer: -4
Step-by-step explanation: The points are (2,4) and (4,-4) using the slope formula, (y2-y1)/(x2-x1) youd get -4 as your slope. Hope this helps!!
Which one of the following U.S. customary units of volume is closest to 4 liters in volume? 64cups , 16quarts, 512 fluid ounces, 4.12 quarts
Answer:4.23
Step-by-step explanation:
what is 5/8 / divided by 1/4?
Answer:
5/2
Step-by-step explanation:
Use a calculator
Given f(x) = 7 - 4x. If the domain of the function is {-4, 0, 1.75, 3}, what is the range of the function?
Answer:
[-5,23]
Step-by-step explanation:
f(-4)=23
f(3)= -5
put the maximum and minimum values for x which at domain
round 8.193 to the nearest hundredth
Answer:
i looked it up and nothing is showing
Step-by-step explanation:
find coordinates of y = 4x^2+ 40x+112
Step-by-step explanation:
y = 4x²+ 40x+112 (:4)
x²+ 10x+ 28.
28
1. |. 28
2. |. 14
4. |. 7
(x+4)(x+7)=0
x= -4. V. x= -7
Now fill in the x= -4 in y so you get the Y-coordinate and do the same for x= -7
Anseer should be like: 'The coordinates are (x, y) and (x, y)
Question 1 (1 point)
(07.03)
How many solutions does the equation 2y+7=5y+7-3y have?
a
One
Ob
None
ос
Two
od
Infinitely many
Answer:
0 because both equations on either side will cancel out
Find the inverse of g(x)=2x-3
=1/2x-3
Step-by-step explanation:
Determine the slope m of each line in its most reduced form
Answer:
5/3 1/3 4/3
Step-by-step explanation:
Cleo buys 2/4 pounds of turkey. Tyler buys 1/2 pounds of turkey. Who buys more turkey? Pls explain.
Answer:
No one because They bought the same amount. 2/4 is equvalent to 1/2, meaning they both are half a pound. :)
Step-by-step explanation:
If this helps pls mark me brainliest
Have a great day :)
josie walks 3/4 miles in 1/5 hour. what is josie’s speed in miles per hour
Answer:
Speed = 3.75 miles per hour.
Step-by-step explanation:
Speed can be defined as distance covered per unit time. Speed is a scalar quantity and as such it has magnitude but no direction.
Mathematically, speed is given by the equation;
[tex]Speed = \frac{distance}{time}[/tex]
[tex]S = \frac{d}{t}[/tex]
Given the following data;
Distance, d = 3/4 miles
Time, t = 1/5 hour
Substituting into the equation, we have;
[tex]Speed, S= \frac{3/4}{1/5}[/tex]
[tex]Speed, S = \frac{3}{4}*5[/tex]
[tex]Speed, S = \frac{15}{4}[/tex]
Speed, S = 3.75mph.
Therefore, Josie's speed is 3.75 miles per hour.
About 58% of students go to a college within 100 miles of their home. If you choose a random sample of 10
students, what is the probability that exactly 5 students go to a college within 100 miles of their home?
Select one:
a. 0.50
b. 0.2162
O c.0.3144
d. 0.6665
850-53x m= 720-39x m
i really need to know this. my nine weeks ends at 3 pm today plzz help me
i need to know what m =
Answer:
9.286
Step-by-step explanation:
I'm not guaranteeing this answer. If this is correctly written without any indication of how to deal with x, then here is as much as you can do.
850-53x m= 720-39x m Subtract 720 from both sides.
850 - 720 - 53x = 720 - 720 - 39xm Combine
- 53xm + 130 = - 39xm Add 53x
-53x+53xm + 130 = -39x + 53xm Combine
130 = 14xm Divide by 14
xm = 130/14
xm = 9.28
===============================
You can use the same steps above. I'm abbreviating the steps because they are the same.
I'm sure there is more to the problem, but I can't imagine what it is. If you have additional directions, put it under this answer. I will get it as a comment.
850-53m= 720-39m
850 - 720 - 53m = - 39m
130 - 53m = - 39m
130 = -39m + 53m
130 = 14m
130/14 = m
m =9.286
Convert 86 to base 5.
Answer:
321
Step-by-step explanation:
Conversion of 86 to base 5 will be done through base 10 to base 5 and it will be (321)₅.
How to convert any number into base 10?To convert any number to base 10 we have to multiply its unit digit by 10⁰ and its tenth digit by 10¹.
After it, we need to add it. It will give us a number of the 10 bases.
Conversion of any 10 base number into base 5
To convert any number to base 5 we need to divide by 5 and write the remainder each time thus we need to write the quotient from down to up.
Converting 86 to base 10
⇒ 8ₓ10¹ +8ₓ[tex]10^0[/tex]
⇒ 86₁₀
Converting 86₁₀ into 86₅
When the number 86 is converted in a base of 5 will be (321)₅
Since we need to go down to up to 321₅ will be the correct answer.
For more information about decimal to base 5
https://brainly.com/question/17247748
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