Answer:
your new should be c $20
The final cost is $30.
Option C is the correct answer.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
The original price of the coat = $50
Discount = 40%
Now,
The final cost.
= (100 - 40)% of 50
= 60% x 50
= 60/100 x 50
= $30
Thus,
The final cost is $30.
Learn more about percentages here:
https://brainly.com/question/11403063
#SPJ6
which number is the same as 0.000 000 1: 10^7 or 10^-7
Answer:
= 1 × 10^-7
(scientific notation)
= 1e-7
(scientific e notation)
= 100 × 10^-9
(engineering notation)
(billionth; prefix nano- (n))
= 0.0000001
(real number)
Step-by-step explanation:
10^7 = 10000000
Thirteen students entered the business program at Sante Fe College 2 years ago. The following table indicates what each student scored on the high school SAT math exam and their grade-point averages (GPAs) after students were in the Sante Fe program for 2 years.
Student A B C D E F G
SAT Score 421 375 585 693 608 392 418
GPA 2.93 2.87 3.03 3.42 3.66 2.91 2.12
Student H I J K L M
SAT Score 484 725 506 613 706 366
GPA 2.50 3.24 1.97 2.73 3.88 1.58
The least-squares regression equation that shows the best relationship between GPA and the SAT score is:_____.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
SAT SCORE :
421
375
585
693
608
392
418
484
725
506
613
706
366
GPA:
2.93
2.87
3.03
3.42
3.66
2.91
2.12
2.50
3.24
1.97
2.73
3.88
1.58
Using the online linear regression calculator ; the regression model obtained is :
ŷ = 0.00345X + 1.00301
0.00345 = slope or gradient
1.00301 = intercept ; where the regression line crosses the y axis
X = independent variable or predictor variable ; y = dependent variable or predicted variable
Review the graph.
Which function is represented in the graph?
y = tanx
y = cosx
y = tan-1x
y = cos-1x
Answer:
D)
Step-by-step explanation:
I used a graphing calculator and typed in every equation and D matched the graph.
The graph given in the figure represents cos^-1(x). The correct option is (D).
What are trigonometric ratios?The trigonometric ratios are defined for a right angled triangle.
The example of these ratios are sin, cos, tan, cosec, sec and cot.
The trigonometric ratios are useful in determining the heights and distances of the large objects.
The graph for the given question shows that for the given function the range and domain are as follows,
Domain = [-1, 1]
Range = [0, π]
The value of the function at 0 is π/2.
Since only the inverse of sinusoids have their range as [-1, 1] and the value of cos(x) at x = π/2 is 0. It implies that the given function is inverse of cos(x).
Hence, the given function represents inverse function of cos(x) which is cos^-1(x).
To know more about trigonometric ratio click on,
https://brainly.com/question/25122825
#SPJ2
What is the slope of line passing through (2, 7) and (4, - 6)?
Answer:
The slope is -13/2x + 20. In decimal form, -6.5x + 20
Two lines in the same plane that do not intersect are.
A.line segment
B.perpendicular
C.parallel
D.midpoint
If 1 liter = 1.057 quarts, about how many liters are in 1 gallon of milk? Round to the nearest liter.
Answer:
3.78541 liters (sorry I'm horrible at rounding)
10a^2b^0 for a=–3, b=–8
Answer:
90Step-by-step explanation:
Substitute a = -3 and b = -8 to the expression 10a²b⁰:
10(-3)²(-8)⁰ = 10(9)(1) = 90
a⁰ = 1 for any real number
Answer:
90
Step-by-step explanation:
10a^2b^0
Let a=–3, b=–8
10 (-3)^2 ( -8)^0
10 * 9 *1
90
The constant of proportionality of this table is
Cups of
blue paint
cups of
yellow paint
2 10
1
Answer:
Step-by-step explanation:
1/2
Suppose that the probability that a person books a hotel using an online travel website is 0.68. For the question that follows, consider a sample of fifteen randomly selected people who recently booked a hotel.
What is the probability that at least fourteen out of fifteen people used an online travel website when they booked their hotel? Round to three decimal places.
A.0.028
B.0.025
C.0.323
D.0.978
Answer:
the answer is d because 0.978 cool number like yaaaa.
Step-by-step explanation:
Which best describes the solution set of the compound inequality below? 2 + x ≤ 3x – 6 ≤ 12 4 ≤ x ≤ 9 4 ≤ x ≤ 6 –2 ≤ x ≤ 2 –2 ≤ x ≤ 3
Answer:
Im sure you dont need this anymore but in case someone else does, im pretty sure the answer is B
Answer:
B is tha right answer
Step-by-step explanation:
Complete the point-slope equation of the line through (2,3)(7,4)
y-4=
Find the selling price of each item original plate price of gold fish at $7.65 discount 10%
Answer:
6.88 is what I think you're looking for
Step-by-step explanation:
The giber family purchased a house for 127,000 the first five years they paid off 12,000 each year . How much money do they still owe on the house ?
Answer:
dndnfhhfbdhdndndnmdmdndndnen
Please help!!!- Find the measure of the angle in bold.
Need help to figure out to solve this.
Answer:
11x-6+(19x+6)=180°
11x+19x-6+6=180°
30x=180
x=180/30
x=6
it means that
19x+6=19*6+6=114+6=120°
A car sharing service offers a membership plan with a $50 per month fee that includes 10 hours of driving each month and charges $9 for each additional hour
(A) Write a piecewise definition of the cost F(x) for a month in which a member uses a car for x hours
(B) Graph F(x) for 0 < x s 15
(C) Find lim x--->10 F(x), lim x--->10F(x), and lim x--->10F(x), which- ever exist.
Answer:
A) F(x) = 50 + ( x - 10 )*9
B) Graph
C) lim ( x ⇒ 10) F(x) = 50
Step-by-step explanation:
A) F(x) = 50 + ( x - 10 )*9 since the first 10 hours are included in initial fee
B) In Annex
C) lim (x ⇒ 10) F(x) = 50 + ( 10 -10)*9
lim ( x ⇒ 10) F(x) = 50 + 0
lim ( x ⇒ 10) F(x) = 50
From their location in the diagram, what are two possible values for n and m?
Answer:
n=7/5 m= 5
Step-by-step explanation:
A box is formed by cutting squares from the four corners of a sheet of paper and folding up the sides.
Suppose the paper is 7"-wide by 9"-long.
a. Estimate the maximum volume for this box?
b. What cutout length produces the maximum volume?
Answer:
B
Step-by-step explanation:
To answer this question it is necessary to find the volume of the box as a function of "x", and apply the concepts of a maximum of a function.
The solution is:
a) V (max) = 36.6 in³
b) x = 1.3 in
The volume of a cube is:
V(c) = w×L×h ( in³)
In this case, cutting the length "x" from each side, means:
wide of the box ( w - 2×x ) equal to ( 7 - 2×x )
Length of the box ( L - 2×x ) equal to ( 9 - 2×x )
The height is x
Then the volume of the box, as a function of x is:
V(x) = ( 7 - 2×x ) × ( 9 -2×x ) × x
V(x) = ( 63 - 14×x - 18×x + 4×x²)×x
V(x) = 4×x³ - 32×x² + 63×x
Tacking derivatives, on both sides of the equation
V´(x) = 12×x² - 64 ×x + 63
If V´(x) = 0 then 12×x² - 64 ×x + 63 = 0
This expression is a second-degree equation, solving for x
x₁,₂ = [ 64 ± √ (64)² - 4×12*63
x₁ = ( 64 + 32.74 )/ 24
x₁ = 4.03 this value will bring us an unfeasible solution, since it is not possible to cut 2×4 in from a piece of paper of 7 in ( therefore we dismiss that value)
x₂ = ( 64 - 32.74)/24
x₂ = 1.30 in
The maximum volume of the box is:
V(max) = ( 7 - 2.60) × ( 9 - 2.60)×1.3
V(max) = 4.4 × 6.4 × 1.3
V(max) = 36.60 in³
To chek for maximum value of V when x = 1.3
we find the second derivative of V V´´, and substitute the value of x = 1.3, if the relation is smaller than 0, we have a maximum value of V
V´´(x) = 24×x - 64 for x = 1.3
V´´(x) = 24× 1.3 - 64 ⇒ V´´(x) < 0
Then the value x = 1.3 will bring maximum value for V
Related Link: https://brainly.com/question/13581879
Consider the experiment of selecting a playing card from a deck of 52 playing cards. Each card corresponds to a sample point with a 1 52 probability.
Required:
a. List the sample points in the event a jack is selected.
b. List the sample points in the event a club is selected.
c. List the sample points in the event a face card ( jack, queen, or king) is selected.
d. Find the probabilities associated with each of the events in parts (a), (b), and (c).
Answer:
Kindly check explanation
Step-by-step explanation:
A deck of card:
Number of hearts = 13
Diamond = 13
Spade = 13
Club = 13
Each of heart, club diamond and spade has is numbered from (2,3,4,5,6,7,8,9,10,Ace, queen, Jack, king)
Hence, a club, diamond, spade and heart has one of each of the above numbers.
a. List the sample points in the event a jack is selected.
Jack : ( heart, club, diamond, spade)
B.) club is selected :
Cub : (Ace, 2, 3,4,5,6,7,8,9,10,king,queen,jack)
C)
Jack : ( heart, club, diamond, spade)
Queen : (heart, club, diamond, spade)
King : (heart, club, diamond, spade)
D) probability = required outcome / Total possible outcomes
P(jack selected) = 4 /52 = 1/13
P(club selected). = 13/52 = 1/4
P(face card selected) = 12 / 52 = 3/13
Solve:
a.) 5(x - 2) > -15
AND
b.) x/1 - 9 < -10
Answer:
a.) x>-1
b.) x/1 - 9 < -10
Step-by-step explanation:
a.)
5(x - 2) > -15
(divide both sides)
x-2>-3
(move the constant to the right)
x>-3+2
(calculate)
x>-1
(answer)
b.)
x/1 - 9 < -10
(divide)
x-9<-10
(move the constant to the right)
x<-10+9
(calculate)
x/1 - 9 < -10
(answer)
The auto parts department of an automotive dealership sends out a mean of 4.34.3 special orders daily. What is the probability that, for any day, the number of special orders sent out will be exactly 55
Answer:
[tex]P(X = 5) = 0.166[/tex]
Step-by-step explanation:
Given
[tex]Mean = 4.3[/tex]
[tex]x = 5[/tex]
Required
Determine the probability that the order is 5
This question can be answered using Poisson distribution.
[tex]P(X = x) = \frac{\alpha ^x e^{-\alpha}}{x!}[/tex]
Where
[tex]\alpha[/tex] is used to represent the mean
and
[tex]\alpha = 4.3[/tex]
[tex]x = 5[/tex]
[tex]e = 2.71828[/tex] ---- Euler's constant
So, we have:
[tex]P(X = x) = \frac{\alpha ^x e^{-\alpha}}{x!}[/tex]
[tex]P(X = 5) = \frac{4.3^5 * 2.71828^{-4.3}}{5!}[/tex]
[tex]P(X = 5) = \frac{4.3^5 * 2.71828^{-4.3}}{5* 4 * 3 * 2 *1}[/tex]
[tex]P(X = 5) = \frac{4.3^5 * 2.71828^{-4.3}}{120}[/tex]
[tex]P(X = 5) = \frac{1470.08443 * 0.01356859825}{120}[/tex]
[tex]P(X = 5) = \frac{19.9469850243}{120}[/tex]
[tex]P(X = 5) = 0.1662248752[/tex]
[tex]P(X = 5) = 0.166[/tex] Approximated
Find the product of (18k+ 2m)(m + k)
Answer:
18k^2+2m^2+20km
Step-by-step explanation:
please help!! I'm really confused
Answer:
Point a is correct.
Step-by-step explanation:
hope I helped.
Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below. Emilio got a score of 76; this version has a mean of 70.6 and a standard deviation of 9. Alissa got a score of 298.8; this version has a mean of 282 and a standard deviation of 24. Tobias got a score of 8.04; this version has a mean of 7.2 and a standard deviation of 0.4.
Required:
If the company has only one position to fill and prefers to fill it with the applicant who performed best on the aptitude test, which of the applicants should be offered the job?
Answer:
Tobias did best on the aptitude test.
Step-by-step explanation:
The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
For Emilio
Emilio got a score of 76; this version has a mean of 70.6 and a standard deviation of 9.
z = (x-μ)/σ
z = 76 - 70.6/9
z = 0.6
For Alissa
Alissa got a score of 298.8; this version has a mean of 282 and a standard deviation of 24.
z = (x-μ)/σ
z = 298.8 - 282/24
z = 0.7
For Tobias
Tobias got a score of 8.04; this version has a mean of 7.2 and a standard deviation of 0.4.
z = (x-μ)/σ
z = 8.04 - 7.2/0.4
z = 2.1
Looking at the calculated z score above, we can see that Tobias did better on his aptitude test because he had a higher z score compared to Emilio and Alissa.
A map has a scale of 2 in: 6 mi. If Clayton
and Centerville are 10 in apart on the map
then how far apart are the real cities?
What is the area of a rectangle with sides measuring 2x+3 and 3x-1 feet
PLEASE ANSWER I WILL GIVE YOU BRAINLIEST!
Name the points which satisfy the conditions. In the second quadrant
9514 1404 393
Answer:
C, M
Step-by-step explanation:
The second quadrant is the upper left quadrant. There, x-values will be negative and y-values will be positive.
__
Point G is on the boundary with the 3rd quadrant, so is probably not considered to be in either of those quadrants.
Answer: C M
Step-by-step explanation:
Herman is standing on a ladder that is partly in a hole. He starts out on a rung that is 6 feet under ground, climbs up 14 feet, then climbs down 11 feet. What is Herman’s final position, relative to ground level?
Answer:
Are there answers
Step-by-step explanation:
Answer:
answer
Herman is standing on a ladder that is partly in a hole. He starts out on a rung that is 6 feet under ground, climbs up 14 feet, then climbs down 11 feet. ...
PLEASE HELP IM TIMEZ) What is the value of the arithmetic series below? A. B. C. D.
Answer:
id say its C but I'm not sure
What is the measure of angle F?
E. 20
D. 90
F.?
Answer:
the answer would be 70 because you take 90-20 and you get 70. you have a 90 degree angle is what you're working on right now
Step-by-step explanation:
An item has a listed price of $80. If the sales tax rate is 8%, how much is the sales tax (in dollars)?
Answer:
$6.40
Step-by-step explanation:
u have to multiply 80 by 0.08 (tax percent in decimal form)
Answer:
$6.4
Step-by-step explanation:
all you have to do is find 8% of 80 by doing 8x8, which equals 64, then dividing by 10. That gives you 6.4. Then check it on a calculator to make sure you did it correctly