Given :
An automobile manufacturer introduces a new model that averages 27 miles per gallon in the city.
Standard deviation , S.D = 3 miles per gallon .
To Find :
The probability that the person will purchase a car that averages less than 20 miles per gallon for in-city driving.
Solution :
We have to find the probability , [tex]P(X\leq 20)[/tex] .
Here , we will use the excel function
So ,
[tex]P(X\leq 20)=NORMADIST( 20, 27 , 3 , 1 )=0.009815[/tex] .
Therefore , probability is 0.009815 .
Complete the graduated commission problem: You earn 20%
commission on the first $500 of sales, 25% commission on the next
$1000 of sales, and 30% commission on all sales over $1500. If you sold
$1940, what is your total commission?
Answer: I'll give you both the percentage and dollar amount. 75% = $144
Step-by-step explanation: first, I added up all the percentages to total 75%. then I took the total sales, and divided that by .75 (75% in decimal form), so:
1940 x .75 = 1455
1940 - 1455 = 144
How do you do this problem?
Step-by-step explanation:
∫ t⁷ e^(-t⁴) dt
If x = -t⁴, then dx = -4t³ dt, and ¼ x dx = t⁷ dt.
∫ ¼ x eˣ dx
If u = ¼ x, then du = ¼ dx.
If dv = eˣ dx, then v = eˣ.
∫ u dv = uv − ∫ v du
= ¼ x eˣ − ∫ ¼ eˣ dx
= ¼ x eˣ − ¼ eˣ + C
= ¼ eˣ (x − 1) + C
Substitute back:
= ¼ e^(-t⁴) (-t⁴ − 1) + C
The procedure would be as demonstrated in the attachment(s). As you can see your solution will be,
[tex]\frac{1}{4}\left(-e^{-t^4}t^4-e^{-t^4}\right)+C[/tex]
x^2-7x=0 solve the equation
Answer:
x = 0, 7
Step-by-step explanation:
Step 1: Write out equation
x² - 7x = 0
Step 2: Factor out x
x(x - 7) = 0
Step 3: Find roots
x = 0
x - 7 = 0
x = 7
Answer:
x = 0, 7
Step-by-step explanation:
x²-7x = 0x(x-7) = 0x = 0 & x =732 as a single power of 2
Answer:
1024
Step-by-step explanation:
Answer:
1024
Step-by-step explanation:
Juan baked 5 dozens of cupcakes which cost her a total of PHP 2675.How much should she sell each cupcake if she wants to get a 25% profit?
Step-by-step explanation:
5 cupcakes = PHP 2675
25% profit =
25/100 × 2675 = 668.75
Selling price for 25% profit = 2675 + 668.75 = 3343.75
Cost of each cupcake for 25% profit = 3343.75/5
= 668.75
Choose the most appropriate name for the function:
The output from a machine depends on the input to the machine.
A. Output(input), or O(i)
B. Input(output), or O(i)
C. Input(output), or I (0)
D. Output(input), or i(0)
uiuuiukiuiuiiuiuiuiuijkyfyi
Answer:
rawrrrrrr mannnnnn
Step-by-step explanation:
Answer:
Boo!
Step-by-step explanation:
An assembly line has two inspectors . The probability that the first inspector will miss a defective item is 0.09. If the defective item passes the first inspector, the probability that the second inspector will miss it is 0.08. What’s the probability that a defective item will pass by both inspectors?
Answer:
0.072
Step-by-step explanation:
0.09 × 0.08
Here's the diagram/ explanation
Plz help me I don't understand the answer!!!!!!!!!!!
Which angles could you add to 1 to make a supplementary angle. Please helppp
The following table shows the assets and liabilities of the Smith family in 2005 and 2009.
2005
home valued at $200,000
mortgage of $30,000
car valued at $25,000
car loan of $8,000
2009
home valued at $180,000
home equity loan of $18,000
car valued at $18,000
boat valued at $20,000
personal loan of $5,000
Based on the table, which of the following is true?
a. From 2005 to 2009, both assets and liabilities decreased.
b. From 2005 to 2009, both assets and liabilities increased.
c. From 2005 to 2009, assets decreased and liabilities increased.
d. From 2005 to 2009, assets increased and liabilities decreased.
Answer:
A. From 2005 to 2009, both assets and liabilities decrease.
Step-by-step explanation:
I just took the test and it was correct
From 2005 to 2009, both Assets and Liabilities decreased.
We have - A table showing the assets and liabilities of smith family in year 2005 and 2009.
We have to estimate, whether the smith family has acquired more assets or liabilities from the year 2005 to 2009.
What do you understand by Assets and Liabilities?Assets are the items that an individual own in order to extract some economic benefit from it in the future.
Liability includes the money, services or items that you owe to other person. Example : Loan, mortgage etc.
In the question given -
Assets are : Home value, Car value, boat value.Liabilities are : Car loan, Mortgage, Equity loan, personal loan.In the year 2005 :
Assets : $2,25,000.Liabilities : $38,000.In the year 2009 :
Assets : $2,18,000.Liabilities : $23,000.Hence, it can be seen from the above figures that - From 2005 to 2009, both Assets and Liabilities decreased.
To solve more questions on estimating the Assets and Liabilities owned in a specific amount of time, visit the following link - https://brainly.com/question/3224330?referrer=searchResults
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A store is selling two mixtures of nuts in
-ounce bags. The first mixture has
ounces of peanuts combined with five ounces of cashews, and costs
. The second mixture has five ounces of peanuts and
ounces of cashews, and costs
. How much does one ounce of peanuts and one ounce of cashews cost?
Answer:
gfAnswer:Answer:Answer:Answer:Answer:Answer:Answer:
Step-by-step explanation:
fgAnswer:Answer:Answer:Answer:Answer:Answer:Answer:Answer:Answer:Answer:
Calculate 19.25 tons equal how many pounds
Answer:
38,500 pounds
Step-by-step explanation:
1 ton = 2000 pounds
IS -13 LESS THAN OR GREATER THAN 14
Which number is equal to 10 Superscript negative 3
Answer:
1/1000 or 0.001.
Step-by-step explanation:
10 ^-3
= 1/10^3
= 1/1000.
(a) Find and identify the traces of the quadric surface x2 + y2 − z2 = 81 given the plane. x = k Find the trace.
Answer:
Hyperbola
Step-by-step explanation:
Consider [tex]x=k.[/tex]
Substitute [tex]x=k[/tex] in given equation [tex]x^2+y^2-z^2=81[/tex]
[tex]k^2+y^2-z^2=81[/tex]
[tex]\Rightarrow y^2-z^2=9^2-k^2[/tex]
[tex]\Rightarrow y^2-z^2=(9-k)(9+k)[/tex]
Here, different orientation for [tex]-9<k<9[/tex] then [tex]-9<k[/tex] or [tex]k<9.[/tex]
Hence, the surface equation represents a trace of the hyperbola.
You and a friend are sharing a swing. You have swung 11 times while your friend has swung twice as many times. Which of the following is a good estimation of how many more times your friend has swung than you?
Answer:
10
Step-by-step explanation:
Express , twelve times a number minus six is less than or equal to
negative eighteen as an equation
Answer:
12x - 6 ≤ - 18
Step-by-step explanation:
We will call "a number" x so
Twelve times a number would be:
12x
Then minus 6
12x - 6
Now we add the less than or equal to sign.
12x - 6 ≤
This is equal to negative eighteen, so:
12x - 6 ≤ - 18
As a bonus we can also solve for x.
12x - 6 = - 18 Add 6 to each side.
12x - 6 + 6 = -18 + 6
12x = -18 + 6
12x = -12 Divide each side by 12
12x/12 = -12/12
x = -12/12
x = -1
So we can say when x ≤ -1 Then 12x - 6 ≤ -18
Write the equation of the line fully simplified slope-intercept from.
Answer:
y = 4/3x - 7
Step-by-step explanation:
A jet plane can travel 567 miles per hour. How many mile can it travel in 4hour During the first trip and 6 Hour during the scon trip
It will take 8 hours to drive 120 miles at a speed of 15 miles per hour. Hi Mia, If you drive 15 mi per hour, you will be covering 15 miles each other you travel. If you know the total distance traveled, then you can simply divide it by speed to get the time it takes to cover that distance. explanation:
What number can be added to -8 To get a sum of 0
Answer:
8.
Step-by-step explanation:
-8+8=0
what is y over 3 (y/3) = 12
Answer:
so what i would like to do is what is 12 divid by 3 and when u get ur answer that it what the y is
Answer:
36
Step-by-step explanation:
y/3=12
y=3*12
y=36
Evaluate v(x) = 14 – 3x when x = -3,0, and 4.
Answer: 23 , 14 , 2
Step-by-step explanation:
V(-3)=14-3(-3)
=14+9
=23
V(0)=14-3(0)
=14-0
=14
V(4)=14-3(4)
=14-12
=2
I hope this helps
can somebody help me !
Answer:
angle 1
Step-by-step explanation:
all others are congruent
Evaluate the expression for the given variables.
-a? - (2a - 7b)
+ b for a = -2 and b = 3
Seven oxide thickness measurements of wafers are studied to assess quality in a semiconductor manufacturing process. The data (in angstroms) are: 1264, 1288, 1272, 1304, 1280, 1301, and 1270. Calculate (a) the sample average and (b) sample standard deviation. Round both answers to 1 decimal places.
Answer:
a. Mean = 1,282.7 Angstroms
b. Standard deviation = 15.5
Step-by-step explanation:
a. Firstly, we are told to calculate the sample average. This is same as the mean;
Mathematically that would be;
The value of the sum of terms/ The number of terms.
= (1264 + 1288 + 1272 + 1304 + 1280 + 1301 + 1270)/7 = 8979/7 = 1282.7
b. Standard deviation
Mathematically, this is the square root of variance
= √{(x - mean)^2/N-1}
Please check attachment for the breakdown of this
Will give brainliest answer
Answer:
-105°Step-by-step explanation:
Rotation is counterclockwise
It means the angle is negative
We can see point C of the original figure is making a vertical line with point P
If we connect P to C' it is going to make more than 90 degree angle as it is above the horizontal line passing through the point P
Therefore we can estimate the angle as -105°
Aaron tracks the time it takes him to mow lawns by writing coordinate points relating x, the time in hours it takes to mow a lawn, and y, the area of land mowed in acres. Two of his points are (3, 1.5) and (5, 2.5). Which statement describes the slope of the line through these two points? It takes Aaron about 1 hour to mow 2 acres. Aaron’s rate for mowing lawns is 0.5 acres per hour. The ratio of acres to time is 5 acres to 3 hours. The rate to mow a lawn is 0.6 hours per acre.
Answer: Aaron’s rate for mowing lawns is 0.5 acres per hour
Step-by-step explanation:
Hope this helps!!
The statement "The rate to mow a lawn is 0.5 acres per hour" correctly describes the slope of the line passing through the given points.
We have,
To determine the slope of the line passing through the points (3, 1.5) and (5, 2.5), we can use the slope formula:
Slope = (change in y) / (change in x)
Given the two points, we can calculate the change in y and the change in x:
Change in y = 2.5 - 1.5 = 1
Change in x = 5 - 3 = 2
Plugging these values into the slope formula:
Slope = 1 / 2 = 0.5
The slope represents the rate of change of the y-coordinate (area) with respect to the x-coordinate (time).
In this case, a slope of 0.5 means that for every hour it takes Aaron to mow a lawn (change in x), the area mowed (change in y) increases by 0.5 acres.
Therefore,
The statement "The rate to mow a lawn is 0.5 acres per hour" correctly describes the slope of the line passing through the given points.
Learn more about slope here:
https://brainly.com/question/23087740
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S = 4LW + 2WH; S = 168, L = 8, W = 4
H=
Answer:
h=5
Step-by-step explanation:
aey sample consisting of a portion of the population that is not scientifically drawn but instead collected because it easy to access is called
Answer:
See below
Step-by-step explanation:
A sample consisting of a portion of the population that is not scientifically drawn but instead collected because it easy to access is called ...
accidental sampleor grab sampleor convenience sample or opportunity sampleAll above refer to same method