Answer:
Step-by-step explanation:
1) Regular price = $ 20
Reduction = 18% of regular price
= 0.18 * 20
= 3.6
Discount price = 20 - 3.6 = $ 16.4
2) Regular price = $ x
Reduction = 18% of regular price
= 0.18 * x
= 0.18x
Discount price =$ (20 - 0.18x)
3) Discount price = $ 18.45
Let the regular price be x
(100 - 18)% of x = 18.45
82% of x = 18.45
[tex]\frac{82}{100}*x=18.45\\\\ x = 18.45* \frac{100}{82}\\\\ x = 22.50[/tex]
Regular price = $22.50
what is the domainof f(x)=4^x
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Domain of given function is set of real numbers
Help......................
help, can you tell if im right?
Answer:
Yes, all of your answers are 100% correct
Step-by-step explanation:
You correctly set the values equal to the numerator or denominator (minutes = minutes) and any value will equal the same value.
From Question 10c, What is DC_{3,1}DC
3,1
DC₃₁ is the entry of the product DC in row 3, column 1, which you get by computing the dot product of the 3rd row of D and the 1st column of C :
{3, -2} • {1, 4} = 3×1 + (-2)×4 = 3 - 8 = -5
Find an equation equivalent to r = 1 + 2 sin e in rectangular coordinates.
ZABC and ZQRS are supplementary angles.
If the measure of ZABC = 140°, what is the
measure of ZQRS?
MZQRS = [?]
Answer:
m<QRS = 40
Step-by-step explanation:
180 - 140 = 40
The measure of angle m∠QRS which is supplementary to m∠ABC is determined as 40⁰.
What is a supplementary angle?A supplementary angle is a pair of angles that add up to 180 degrees.
That is to say, if we have two angles and their measures sum up to 180 degrees, then they are supplementary angles. Each angle in a supplementary pair is called the "supplement" of the other angle.
The measure of angle QRS is calculated by applying the following formula as follows;
m∠QRS + m∠ABC = 180 (supplementary angles add up to 180)
m∠QRS + 140 = 180
m∠QRS = 180 - 140
m∠QRS = 40⁰
Thus, the measure of angle m∠QRS which is supplementary to m∠ABC is determined as 40⁰.
Learn more about supplementary angles here: https://brainly.com/question/12919120
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A random sample of elementary school children in New York state is to be selected to estimate the proportion p who have received a medical examination during the past year. An interval estimate of the proportion p with a margin of error of 0.06 0.06 and 99% 99 % confidence is required.
Answer:
The minimum sample size required is 461.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
99% confidence level
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
An interval estimate of the proportion p with a margin of error of 0.06. What is the minimum sample size required?
The minimum sample size required is n, which is found when M = 0.06.
We don't have an estimate for the true proportion, which means that we use [tex]\pi = 0.5[/tex]. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.06 = 2.575\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.06\sqrt{n} = 2.575*0.5[/tex]
[tex]\sqrt{n} = \frac{2.575*0.5}{0.06}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.575*0.5}{0.06})^2[/tex]
[tex]n = 460.5[/tex]
Rounding up
The minimum sample size required is 461.
PLEASE HELP ME!! My grades are bad and I need the answer before Friday. Somebody PLEASE help!!! I rlly need to get this done!!
Step-by-step explanation:
Just telling you, if your grades are bad,
you should listen to the teacher more in class time,
take notes, and more.
Btw, the equation is...
I hope this will help you.
I cannot give answers for everything.
I hope this helps!
The average commute to work (one way) is 25 minutes according to the 2005 American Community Survey. If we assume that commuting times are normally distributed and that the standard deviation is 6.1 minutes, calculate the probability that a randomly selected commuter spends for the following cases.
1. More than 31 minutes commuting one way.
2. Less than 8 minutes commuting one way.
Answer:
1. 0.1635
2. 0.0026
Step-by-step explanation:
The computation of the probability in the following cases are as follows:
1.
Given that
Mean = 25 minutes
ANd, the standard deviation is 6.1 minutes
So here the z score would be
= (31 - 25) ÷(6.1)
= 0.98
Now the probability is
= P(Z>0.98)
= 0.1635
2. the z score would be
= (8 - 25) ÷(6.1)
= -2.79
Now the probability is
= P(Z<-2.79)
= 0.0026
The length of a rectangle is 3 times the width. The area of this rectangle is 243 feet squared.
What are the dimensions?
Width =____feet (this is the short side)
Length=____feet (this is the long side that is 3 times the width)
Step-by-step explanation:
width = x
length= 3x
Area = length * width
243=3x * x
3÷243 =3x^2÷3
√81=√x^2
x=9
3x=3*9=27
Width=9
Length=27
Box A contained 40 paperclips. Box B contained 23 paperclips. After Sally took an equal number of paperclips from each box, Box A then contained twice as many paperclips as Box B. How many paperclips did Sally take from each box?
Answer:
Step-by-step explanation:
Number of clips in box A = 40
Number of clips in box B = 23
If Sally took out 6 clips from each box
Remaining clips in box A = 40 - 6 = 34 which is twice of 17
Remaining clips in box B = 23 - 6 = 17
Answer:
Sally took 6 paperclips from each box
Step-by-step explanation:
Paper clips in Box A = 40
Paper clips in Box B = 23
Let the equal number paperclips removed from each box = x
Number of clips in box A after taking 'x' clips = 40 -x
Number of clips in box B after taking 'x' clips = 23 -x
40 - x = 2*(23 -x)
40 - x = 2*23 - 2*x
40 -x = 46 - 2x {Add 2x to both sides}
40 - x + 2x = 46 {Combine like terms}
40 + x = 46 {Subtract 40 form both sides }
x = 46 - 40
x = 6
Sally took 6 paperclips from each box
SUPER EASY QUESTION WILL GIVE BRAINLEST!!!!!!!!!!!!!!!!!!!!! (no links please
what is 11683.94 rounded to the nearest tenth.
somebody please help this is due in a couple of hours :(
Answer:
Step-by-step explanation:
PLEASE ANSWER THE QUESTION IN THE PICTURE BELOW
Answer:
35 cm^3
Step-by-step explanation:
the area is 35 hoped that helped
The area of a square mural is 144x2 - 72x + 9. What is the length of one side
of the mural?
Answer:
-0.25 units
Step-by-step explanation:
144x^2 - 72x + 9 = 0
common factor: 9
16x^2 - 8x + 1 = 0
(4x + 1)^2 = 0
4x +1 = 0
4x = -1
x = -0.25 units
Select all of the given trigonometric equations that are true statements. sin(180°) = cos(0°) cos(74°) = sin(16°) sin(20°) = cos(70°) sin(A°) = cos(90° - A°) sin(A°) = cos(180° - A°) cos(140°) = sin(40°)
Answer:
Cos 74°= Sin 16°
Sin 20°= Cos 70°
Sin A°=Cos (90°- A°)
Step-by-step explanation:
This is because the three pairs are complementary i.e they add up to 90° and in trigonometric ratios, complementary ratios are equal.
Helpppppppppppppppppppp
Question is attached. Thanks
Answer:
The third oneStep-by-step explanation:
The average daily maximum temperature for Shane’s hometown can be modeled by the function f(x)=12.2cos(πx6)+54.9, where f(x) is the temperature in °F and x is the month.
x = 0 corresponds to January.
What is the average daily maximum temperature in March?
Round to the nearest tenth of a degree if needed.
Answer:
The average daily maximum temperature in March is of 61 degrees.
Step-by-step explanation:
The average daily maximum temperature in his hometown in x months after January is given by:
[tex]f(x) = 12.2\cos{(\frac{\pi x}{6})} + 54.9[/tex]
What is the average daily maximum temperature in March?
March is 3 - 1 = 2 months after January, so this is f(2).
[tex]f(2) = 12.2\cos{(\frac{\pi*2}{6})} + 54.9 = 61[/tex]
The average daily maximum temperature in March is of 61 degrees.
I attached the question please take a look
Answer:
e
Step-by-step explanation:
beishdhsjsvsudjdnbdhdjrjdxbxbudsndnbhhxhxbdhddbdbd
Help on this question don’t understand it well
Answer:
135
Step-by-step explanation:
Well you don ‘t have to worry about the first part since its just the equation with the unknown number while the second part has it already substituted in.
Solve the equation normally, follow orders of operations.
6(5)^2-15
5^2=25
25*6=150
150-15=135
In the diagram below, what is the approximate length of the mirror arc AB?
Answer:
D) 15.7 cm
Step-by-step explanation:
radius = 10 cm
diameter = 10 x 2 = 20 cm
circumference = 20 x 3.14 = 62.8 cm
(90°/360°)(62.8) = 15.7 cm
If 10 miles≈16 km, about how many miles would be equal to 92 km? Show how you decided.
Answer:
57.5 miles
Step-by-step explanation:
10 mi : 16 km
x mi : 92 km
(10)(92) = (16)(x)
920 = 16x
57.5 = x
Help quickly pleaseee
Answer:
I'm corona positive and isolated feeling depressed just logged in to talk someone but people ignoring me thanks for this behaviour got disappointed bye everyone logging out had a great time
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer:
A scale of 3
Step-by-step explanation:
dd2d2de2f3f
What is the domain of the following parabola? (5 points)
u-shaped graph that opens down with a vertex of 1, 2
Group of answer choices
y ≤ 2
x ≥ 1
All real numbers
x ≤ 1
Answer:
the domain for this parabola is all real numbers
3. The rectangle below has an area of 297 in. Find the length of the diagonal.
14
27 in.
odhad.
9514 1404 393
Answer:
29.15 in
Step-by-step explanation:
The area of a rectangle is given by the formula ...
A = LW
Filling in the given information, we can find the missing side length.
297 in² = (27 in)h
h = (297 in²)/(27 in) = 11 in
The length of the diagonal can be found from the Pythagorean theorem.
d² = 27² + 11² = 729 +121 = 850
d = √850 = 5√34 ≈ 29.15476
The length of the diagonal is about 29.15 inches.
how long will it take with 0.5kW power rating to do 1500J of work?
3 seconds
3 microseconds
3 minutes
0.3 seconds
whoever gets this correct first gets brainlest
Answer:
36°
Step-by-step explanation:
From the question,
The sum of the exterior angle of a polygon = 360
From the diagram. the polygon is Decagon
Note: A Decagon is a polygon with 10 sides.
number of sides = 10 .
The exterior angle of a regular polygon = sum of the exterior angle/number of sides.
Exterior angle = 360/10
Exterior angle = 36°
Hence the measure the single extrior angle = 36°
What is y if x=6 eqaution=y=4x+5