Answer:
The 2-cup bottle of insect repellent for $4.48
Step-by-step explanation:
The first would be 0.31 cents per ounce and the second is 0.28 cents per ounce.
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
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]
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)
#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
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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Which is the equation of a line with a slope of −13 - 1 3 and a y-intercept at (0, 1) 0 , 1 ?
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:
what is 5/8 / divided by 1/4?
Answer:
5/2
Step-by-step explanation:
Use a calculator
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:
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
Determine the slope m of each line in its most reduced form
Answer:
5/3 1/3 4/3
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:
Let V=ℝ2 and let H be the subset of V of all points on the line 4x+3y=12. Is H a subspace of the vector space V?
Answer:
No, it isn't.
Step-by-step explanation:
We have [tex]V=IR^{2}[/tex] and let [tex]H[/tex] be the subset of [tex]V[/tex] of all points on the line
[tex]4x+3y=12[/tex]
We need to find if [tex]H[/tex] is a subspace of the vector space [tex]V[/tex].
In [tex]IR^{2}[/tex] all the possibilities for own subspace of the vector space [tex]IR^{2}[/tex] are :
[tex]IR^{2}[/tex] itself.The vector [tex]0_{IR^{2}}=\left[\begin{array}{c}0&0\end{array}\right][/tex]All lines in [tex]IR^{2}[/tex] that passes through the origin ( [tex]0_{IR^{2}}=\left[\begin{array}{c}0&0\end{array}\right][/tex] )We know that [tex]H[/tex] is the subset of [tex]IR^{2}[/tex] of all points on the line [tex]4x+3y=12[/tex]
If we look at the equation, the point [tex]\left[\begin{array}{c}0&0\end{array}\right][/tex] doesn't verify it because :
[tex]4x+3y=12\\4(0)+3(0)=12\\0=12[/tex]
Which is an absurd. Therefore, [tex]H[/tex] doesn't contain the origin (and [tex]H[/tex] is a line in [tex]IR^{2}[/tex]). Finally, it can't be a vector space of [tex]V=IR^{2}[/tex]
help i’m timed 6th grade math
Answer:
c
Step-by-step explanation:
because I'm smart and I am in 7th grade
HELP :) GIVING BRAINLIEST
Answer:
5/4
Step-by-step explanation:
Rise/Run
5/4
help plsss i really need it
Answer:
can u re-upload the image i cant see it
Step-by-step explanation:
Brainliest to best answer.
Round 1,497 to the nearest ten
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.
(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 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
Describe how to create a solid model of a simple coffee mug using sweep and other constructive solid geometry operations
Answer:
Step-by-step explanation:
We are going the use the revolve constructive geometry operation
Step one:
Knowing fully well that the simple mug has a cylindrical shape, and all preliminary settings are in place, like the units may be in inches or mm.
We first need to draft out the section of the mug, this will look like an "L" shape with thickness set to whatever dimension you may have in mind.
The next in line is to create an axis using a construction line parallel to the L shape.
Then use the revolve tool to create the cylindrical shape by selecting the axis as the reference of rotation and the angle of rotation set to 360 degrees.
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
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:
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:
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 :)
round 8.193 to the nearest hundredth
Answer:
i looked it up and nothing is showing
Step-by-step explanation:
Find the inverse of g(x)=2x-3
=1/2x-3
Step-by-step explanation:
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
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