Answer:
C. 63
Step-by-step explanation:
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
Ceceila planted 11 new flowers in her garden. The flowers were either yellow , which cost $1.60 each at the market , or purple , which cost $1.80 each . Cecelia paid a total of 18.20 when purchasing the flowers . How many yellow flowers did she plant ?
Answer:
8 yellow and 3 purple
Step-by-step explanation:
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
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:
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:
Determine the slope m of each line in its most reduced form
Answer:
5/3 1/3 4/3
Step-by-step explanation:
In the middle school debate club, 40% of the members are in sixth grade. If there are 12 sixth graders in the debate club, how many total members are there?
Answer 30
Step-by-step explanation:
I Just had a Test and it asked me that and I got an 100
four big water bottles can hold 8 gallons of water.how much water can ten big water bottles hold
Answer:
20 gallons
Step-by-step explanation:
If 4 big water bottles can hold 8 gallons then just multiply 10x2 because that is double the amount.
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 :)
Convert 1AA from hexadecimal to decimal.
1AA = 426
What an odd class...
Answer:
426 in decimal.
Step-by-step explanation:
Step 1) Count the digits in 1AA, which in this case is 3 digits, and convert each digit to Hex.
Step 2) Starting from the last number in Step 1, multiply the first number with 1, the second number with 16, and the third number with 256.
Step 3) Add up all the numbers you got in Step 2 to get the answer.
Following the instructions above, your math should look like this:
10 x 1 = 10
10 x 16 = 160
1 x 256 = 256
10 + 160 + 256 = 426
Thus, we got the following answer:
1AA = 426
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:
HELP :) GIVING BRAINLIEST
Answer:
5/4
Step-by-step explanation:
Rise/Run
5/4
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.
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)
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
#SPJ5
Find the volume of the tetrahedron with the given vertices. (4, 0, 0), (0, 4, 0), (0, 0, 1), (4, 4, 1)
Answer:
[tex]\mathbf{V = \dfrac{16}{3}}[/tex]
Step-by-step explanation:
From the information given:
A = (4,0,0) B = (0,4,0) C = (0,0,1) D = (4,4,1)
[tex]\overline{ AB}[/tex] = (0,4,0) - (4,0,0) = (-4, 4, 0)
[tex]\overline{ BC} =[/tex] (0,0,1) - (0,4,0) = (0, -4, 1)
[tex]\overline{ CD}[/tex] = (4,4,1) - (0,0,1) = (4, 4, 0)
The Volume of the tetrahedron [tex]V = \dfrac{1}{6} \bigg| AB \times BC \times CD \bigg|[/tex]
The Volume of the tetrahedron [tex]V = \dfrac{1}{6} \left\begin{vmatrix}-4,&4&0\\0,&-4&1\\4&4&0\end{vmatrix}\right[/tex]
[tex]V = \dfrac{1}{6}\bigg [ -4(-4 *0 - 1*4) -4(0*0-1*4) +0(0*4--4*4) \bigg ][/tex]
[tex]V = \dfrac{1}{6}\bigg [ -4(0 - 4) -4(0-4) +0(0+16) \bigg ][/tex]
[tex]V = \dfrac{1}{6}\bigg [ 16 + 16 +0 \bigg ][/tex]
[tex]V = \dfrac{1}{6}\bigg [ 32 \bigg ][/tex]
[tex]\mathbf{V = \dfrac{16}{3}}[/tex]
Ann bought peaches and tomatoes for $7.24. She paid $3.64 for all the peaches and $1.20 for each tomato. How many tomatoes did she buy?
Answer:
3 tomatoes
Step-by-step explanation:
To find the answer we do 7.24-3.24= 3.6
1.20×3= 3.6
Answer:
3
Step-by-step explanation:
7.24-3.64= 3.60
3.60:1.20=3 tomatoes
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
(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
What set of transformations is performed on ABCD to form A′B′C′D′? (4 points)
a
A translation 1 unit to the left followed by a 180-degree counterclockwise rotation about the origin
b
A translation 1 unit to the right followed by a 180-degree counterclockwise rotation about the origin
c
A 90-degree counterclockwise rotation about the origin followed by a translation 1 unit to the right
d
A 90-degree counterclockwise rotation about the origin followed by a translation 1 unit to the left
Answer:
The answer is A because you can actually graph it and get A as the correct answer.
Step-by-step explanation:
I actually took this before, and I put A as the answer. It was correct.
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
Brainliest to best answer.
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!!
help i’m timed 6th grade math
Answer:
c
Step-by-step explanation:
because I'm smart and I am in 7th grade
if the teacher picks a student at random,what is the probability that she will select a student with a birthday in january?
a - 11/110
b-11/100
c-33/100
d-3/100
Answer:
B
Step-by-step explanation:
Add all numbers and get 300 then divide 33 by 300 to get your answer
what is 5/8 / divided by 1/4?
Answer:
5/2
Step-by-step explanation:
Use a calculator
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:
To make 2 batches of brownies, Ed needs eggs. How many eggs are needed per batch of brownies?
Answer:
The answer is 2 eggs per brownie.
Step-by-step explanation:
round 8.193 to the nearest hundredth
Answer:
i looked it up and nothing is showing
Step-by-step explanation:
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
