Answer:
20%
Step-by-step explanation:
1000/1250=0.8
1000 is 80% of the original price
therefore the percentage loss is 20%
Answer:
20
Step-by-step explanation:
1250 divided by 100 is 12.5
12.5*80 equals 1000 so 100-80 equals 20%
Determine whether the distribution represents a probability distribution. X 3 6 0.3 0.4 P(X) Oa. Yes b. No 9 0.3 0.1
The distribution does not represent a probability distribution. The correct option is b.
A probability distribution should satisfy two main conditions: (1) the sum of the probabilities for all possible outcomes should be equal to 1, and (2) the probabilities for each outcome should be between 0 and 1 (inclusive).
In this distribution, the probabilities for the outcomes are 0.3, 0.4, 0.3, and 0.1 for the values of X as 3, 6, 9, and 0, respectively. However, the sum of these probabilities is 1.1, which violates the first condition of a probability distribution.
Therefore, this distribution does not meet the requirements of a probability distribution and is not a valid probability distribution. The correct answer is option b.
To know more about distribution refer here:
https://brainly.com/question/29664127
#SPJ11
A recipe for 48 chocolate chip cookies calls for 3 cups of flour. The number of cookies varies directly with the amount of flour you use.
Answer:
answer is 114 I have confirmed it
Two waves are described by: 3₁ (2, 1) = (0.30) sin(5z - 200t)] and g (z,t) = (0.30) sin(52-200t) + =] where OA A, 0.52 m and v= 40 m/s OB A=0.36 m and v= 20 m/s OC A=0.60 m and v= 1.2 m/s OD. A = 0.24 m and v= 10 m/s DE A=0.16 m and = 17 m/s and are in meters, and t is in seconds. Calculate the amplitude of the resultant wave and its speed.
The amplitude of the resultant wave is 0.60 m/s and its speed is 17.64 m/s.
Given,
Two waves are described by:
3₁ (2, 1) = (0.30) sin(5z - 200t)] and
g (z,t) = (0.30) sin(52-200t)
+ =]
where OA A, 0.52 m and v= 40 m/s
OB A=0.36 m and
v= 20 m/s OC
A=0.60 m and
v= 1.2 m/s OD.
A = 0.24 m and
v= 10 m/s
DE A=0.16 m and
= 17 m/s
The amplitude of a wave is the distance from its crest to its equilibrium. The amplitude of the resultant wave is calculated by adding the amplitudes of the individual waves and is represented by A.
The expression for the resultant wave is given by f(z,t) = 3₁ (2, 1) + g (z,t)
= (0.30) sin(5z - 200t)] + (0.30) sin(52-200t)
+ =]
f(z,t) = (0.30) [sin(5z - 200t) + sin(52-200t)
+ =]
Therefore, A = 2(0.30) = 0.60 m/s
The speed of a wave is given by the product of its wavelength and its frequency. The wavelength of the wave is the distance between two consecutive crests or troughs, represented by λ. The frequency of the wave is the number of crests or troughs that pass through a given point in one second, represented by f.
Speed = λf
The wavelengths of the given waves are OA = 0.52 m,
OB = 0.36 m,
OC = 0.60 m,
OD = 0.24 m,
DE = 0.16 m
The frequencies of the given waves are OA :
v = 40 m/s,
f = v/λ
= 40/0.52
= 77.0 Hz
OB : v = 20 m/s,
f = v/λ
= 20/0.36
= 55.6 Hz
OC : v = 1.2 m/s,
f = v/λ
= 1.2/0.60
= 2.0 Hz
OD : v = 10 m/s,
f = v/λ
= 10/0.24
= 41.7 Hz
DE : v = 17 m/s,
f = v/λ
= 17/0.16
= 106.25 Hz
The speed of the resultant wave is the sum of the speeds of the individual waves divided by the number of waves. Therefore,
Speed of the resultant wave = (40 + 20 + 1.2 + 10 + 17)/5
= 17.64 m/s
Hence, the amplitude of the resultant wave is 0.60 m/s and its speed is 17.64 m/s.
To know more about amplitude visit
https://brainly.com/question/2845956
#SPJ11
The amplitude of the resultant wave and its speed are to be determined.
Let's use the formula of the resultant wave, where,
A is amplitude, f is frequency, v is velocity and λ is wavelength of the wave.
A = \([(OA^2 + OB^2 + OC^2 + OD^2 + DE^2 + 2(OA)(OB)(cosθ) + 2(OA)(OC)(cosθ) + 2(OA)(OD)(cosθ) + 2(OA)(DE)(cosθ) + 2(OB)(OC)(cosθ) + 2(OB)(OD)(cosθ) + 2(OB)(DE)(cosθ) + 2(OC)(OD)(cosθ) + 2(OC)(DE)(cosθ) + 2(OD)(DE)(cosθ))]^{1/2\)
where, cosθ = [λ1/λ2] and λ1, λ2 are the wavelength of the two waves.
The velocity of the wave is given by the relation v = fλ
We can calculate the velocity of the resultant wave by using the above formula and calculating the value of wavelength of the wave.
Here, we are given λ for each wave. Speed = 40 m/s
Amplitude of the resultant wave= \([ (0.52^2 + 0.36^2 + 0.6^2 + 0.24^2 + 0.16^2 + 2(0.52)(0.36) + 2(0.52)(0.6) + 2(0.52)(0.24) + 2(0.52)(0.16) + 2(0.36)(0.6) + 2(0.36)(0.24) + 2(0.36)(0.16) + 2(0.6)(0.24) + 2(0.6)(0.16) + 2(0.24)(0.16) )]^{1/2\)
=\([ (0.2704 + 0.1296 + 0.36 + 0.0576 + 0.0256 + 0.3744 + 0.624 + 0.2496 + 0.1664 + 0.1296 + 0.0864 + 0.0576 + 0.144 + 0.096 + 0.0384) ]^{1/2\)
=\([ (2.2768) ]^{1/2\)
= 1.51 m/s
Therefore, the amplitude of the resultant wave is 1.51 m/s and the speed of the wave is 1.51 m/s.
To know more about amplitude visit:
https://brainly.com/question/9525052
#SPJ11
HELP!!!!MATH!!!!QUICK
Answer:ion know the answer but i need the points
Step-by-step explanation:
Robert invested $7600 in an account paying in interest rate of 1.9% compounded continuously. Assuming no deposits or withdrawals are made how long will it take the nearest year for the value of the account to reach $8600
Answer: t= 7
Step-by-step explanation:
Triangle ABC has angles with the following measurements: Angle A is 50 degrees, angle B is 60 degrees and angle C is 70 degrees. The longest side of the triangle will be opposite which angle (A, B or C)?
Answer: Angle C
Step-by-step explanation:
In any triangle, the side opposite the largest angle is always the longest side.
Here, angle C has the largest measurement of 70 degrees. Therefore, the longest side of triangle ABC will be opposite angle C.
A boat can travel 36 mi downstream in 2 hours Coming back upstream, the boat takes 3
hours. What is the rate of the boat in still water? What is the rate of the current?
The rate of the boat in still water is 18 mph, and the rate of the current is 6 mph.
To find the rate of the boat in still water, we can use the formula: rate = distance/time. Since the boat traveled 36 miles downstream in 2 hours, its rate downstream is 36/2 = 18 mph. Let's call the rate of the boat in still water "b", and the rate of the current "c". Then, the boat's rate downstream is b + c. We can use this to create an equation: b + c = 18.
To find the rate of the current, we need to use the fact that the boat took 3 hours to travel the same distance upstream. When the boat is traveling upstream, its rate is b - c. Using the same formula, we get: 36/3 = b - c. Simplifying, we get 12 = b - c. We can now use the equation we created earlier to solve for b: b + c = 18. Solving for b, we get b = 18 - c. Substituting this into the second equation, we get: 12 = (18 - c) - c. Simplifying, we get c = 6. Finally, we can substitute c = 6 into the equation for b to get: b + 6 = 18. Solving for b, we get b = 12. Therefore, the rate of the boat in still water is 12 mph and the rate of the current is 6 mph.
To Know more about equation visit;
https://brainly.com/question/29657983
#SPJ11
Find the value of x given that 25 x 8 = 22x
Answer:
Step-by-step explanation:
25*8=200 soooooooooo 200=22x divide 22 on both sides and you get x=100/11
Answer:
25×8=200
200÷22x
x=9,09
therefore x=9,1
What are the coefficients for the expression
\(4x4 + x3 - 2x2 - 6x + 2 \)
6x - 2 + 2x = -2 + 4x + 8
Simplifying
6x + -2 + 2x = -2 + 4x + 8
Reorder the terms:
-2 + 6x + 2x = -2 + 4x + 8
Combine like terms: 6x + 2x = 8x
-2 + 8x = -2 + 4x + 8
Reorder the terms:
-2 + 8x = -2 + 8 + 4x
Combine like terms: -2 + 8 = 6
-2 + 8x = 6 + 4x
Solving
-2 + 8x = 6 + 4x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4x' to each side of the equation.
-2 + 8x + -4x = 6 + 4x + -4x
Combine like terms: 8x + -4x = 4x
-2 + 4x = 6 + 4x + -4x
Combine like terms: 4x + -4x = 0
-2 + 4x = 6 + 0
-2 + 4x = 6
Add '2' to each side of the equation.
-2 + 2 + 4x = 6 + 2
Combine like terms: -2 + 2 = 0
0 + 4x = 6 + 2
4x = 6 + 2
Combine like terms: 6 + 2 = 8
4x = 8
Divide each side by '4'.
x = 2
Simplifying
x = 2
Trigonometry: If f(x)= 2sinx + cosx using exact values find f (120 degrees). if possible show steps.
Answer: f(120°) = (√3) + 1/2
Step-by-step explanation:
i will solve it with notable relations, because using a calculator is cutting steps.
f(120°) = 2*sin(120°) + cos(120°)
=2*sin(90° + 30°) + cos(90° + 30°)
here we can use the relations
cos(a + b) = cos(a)*cos(b) - sin(a)*sin(b)
sin(a + b) = cos(a)*sin(b) + cos(b)*sin(a)
then we have
f(120°) = 2*( cos(90°)*sin(30°) + cos(30°)*sin(90°)) + cos(90°)*cos(30°) - sin(90°)*sin(30°)
and
cos(90°) = 0
sin(90°) = 1
cos(30°) = (√3)/2
sin(30°) = 1/2
We replace those values in the equation and get:
f(120°) = 2*( 0 + (√3)/2) + 0 + 1/2 = (√3) + 1/2
What is the ratio of rise to run between the points (-2, 8) and (4, -3)?
Ratio of rise to run between the points (-2, 8) and (4, -3) = -11/6
To find the ratio of rise to run between two points, we need to calculate the difference in the y-coordinates (rise) and the difference in the x-coordinates (run) between the two points.
Given points:
Point 1: (-2, 8)
Point 2: (4, -3)
Rise = difference in y-coordinates = y2 - y1 = -3 - 8 = -11
Run = difference in x-coordinates = x2 - x1 = 4 - (-2) = 6
Therefore, the ratio of rise to run can be calculated as:
Ratio of rise to run = Rise / Run = -11 / 6
Thus, the ratio of rise to run between the points (-2, 8) and (4, -3) is -11/6.
For more such questions on Ratio of rise to run, click on:
https://brainly.com/question/27140566
#SPJ8
7 (-2) - 15 =
Find the value of the expression.
Answer:
-29?
Step-by-step explanation:
class 9 help who are clever will get a brainlist
5x+y/a=2 for a CAN YOU HELP ME PLEASE
Answer:
pls rate as brainliest it will really go along way
Use substitution to find the solution of the system of equations 4x+3y=7 and 3x+5y=8?
The solution to the system of equations is x = 1 and y = 1.
To solve the system of equations using substitution, we start by solving one equation for one variable and substituting it into the other equation. Given the system of equations:
1) 4x + 3y = 7
2) 3x + 5y = 8
We can solve equation 1 for x:
4x = 7 - 3y
x = (7 - 3y)/4
Now, substitute this expression for x into equation 2:
3((7 - 3y)/4) + 5y = 8
Simplify the equation:
(21 - 9y)/4 + 5y = 8
Multiply both sides by 4 to eliminate the fraction:
21 - 9y + 20y = 32
Combine like terms:
11y = 11
Divide both sides by 11:
y = 1
Now, substitute the value of y back into equation 1 to solve for x:
4x + 3(1) = 7
4x + 3 = 7
4x = 7 - 3
4x = 4
x = 1
Therefore, the solution to the system of equations is x = 1 and y = 1.
To know more about equations refer here:
https://brainly.com/question/29657988
#SPJ11
What is 5 1/3 ÷2 And explain how
Answer:
10.6
Step-by-step explanation:
\(5 \frac{1}{3} \div 2 = \frac{16}{3} \div 2 = \frac{16}{3} \times \frac{2}{1} = 32 \div 3 = 10.6\)
Change the mixed fraction to Improper fraction
Divide it or multiply it by the reciprocal.
Hope this helps ;) ❤❤❤
Answer:
2.666667
Step-by-step explanation:
Turn 5 1/3 into a improper fraction.
i = prt ; p = $2,000, r = 3%, and t = 2 yr.
Evaluate the expression using the given values.
Please and Thank you
The interest amount is $120 when given principal amount $2000, rate of interest per year is 3% and time period is 2 years.
Given that,
p = $2,000, r = 3%, and t = 2 yr.
We have to find the i when i=prt.
Here,
i is interest amount.
p is principal amount.
r is rate of interest per year.
t is time period.
So,
Formula for finding interest amount is
i=prt
So,
i=2000(3/100)(2)
i=20×3×2
i=120
Therefore, The interest amount is $120 when given principal amount $2000, rate of interest per year is 3% and time period is 2 years.
To learn more about interest visit: https://brainly.com/question/19291527
#SPJ1
a complete simulation of an event has already been written and run for you. the simulation is of spinning two wheels each with all of the numbers 1 through 10. each spin in stored as a row (observation) in the dataframe df under the columns wheel 1 and wheel 2. using the simulation results in df, find an estimate of the probability that you get at least one value less than 6 and the second value is greater than 4.
You get at least one value less than 6 and the second value is greater than 4 based on the simulation results.
To estimate the probability that you get at least one value less than 6 and the second value is greater than 4 using the simulation results in the dataframe df, we can follow these steps:
Filter the dataframe df to select the rows that meet the criteria: one value less than 6 and the second value greater than 4.
Calculate the total number of rows that meet the criteria.
Calculate the total number of rows in the dataframe df.
Divide the number of rows that meet the criteria by the total number of rows to estimate the probability.
Here's a Python code snippet to perform these steps:
# Step 1: Filter the dataframe
filtered_df = df[(df['wheel 1'] < 6) & (df['wheel 2'] > 4)]
# Step 2: Calculate the number of rows that meet the criteria
num_rows_meeting_criteria = filtered_df.shape[0]
# Step 3: Calculate the total number of rows in the dataframe
total_rows = df.shape[0]
# Step 4: Calculate the estimated probability
probability = num_rows_meeting_criteria / total_rows
# Print the estimated probability
print("Estimated probability:", probability)
By running this code with your specific dataframe df, you will obtain an estimate of the probability that you get at least one value less than 6 and the second value is greater than 4 based on the simulation results.
To know more about probability visit:
https://brainly.com/question/32117953
#SPJ11
What is the value of x in the equation
1/3x - 1/2 = 18 1/2
a. 6
b. 15
c. 54
d. 57
PLEASE HELP I HAVE 5 MIN LEFT ON MY TEST
Answer:
D 57
Step-by-step explanation:
The value of X
1. How can you tell the difference between the pre-image and image when only given the coordinates or a picture?
Answer:You need To tell them apart, they will usually be defined separately.
Step-by-step explanation:
8a - 2b + 12a - 2a - 4b
Evaluate the expression when a = 4 and b = 22. Show your work.
-52
Step-by-step explanation:
8.4-2.22+12.4-4.22=
=32-44+48-88=
=-132+80=
=-52
Cynthia earns $680 in commissions and is paid $10.25 per hour. Javier earns $410 in commissions and is paid 12.50 per hour. What will you find if you solve for x in the equation 10.25x + 680 = 12.5x +410.
Answer:
x = 120
Step-by-step explanation:
10.25x + 680 = 12.5x +410.
Subtract 10.25x from each side
10.25x-10.25x + 680 = 12.5x-10.25x +410.
680 = 2.25x +410
Subtract 410 from each side
680-410 = 2.25x +410-410
270 = 2.25x
Divide each side by 2.25
270/2.25 =2.25x/2.25
120=x
it is important for researchers to account for attrition or loss of participants during follow-up. true or false
Answer:
The answer is TRUE
Step-by-step explanation:
It will forever be important for researchers to account for attrition or loss of participants. This helps them trace back steps.
True. It is important for researchers to account for attrition or loss of participants during follow-up as it may introduce bias and affect the validity and generalizability of the study results.
Researchers should try to minimize attrition by implementing strategies such as frequent communication with participants, offering incentives, and using follow-up methods that are less burdensome for participants. When reporting study results, researchers should also provide information on the reasons for attrition and the characteristics of those who dropped out compared to those who completed the study.
More on attrition: https://brainly.com/question/30777341
#SPJ11
What is the slope of the line containing (–1, 8) and (3, –12)? A. 5 B. – C. –5 D.
Answer:
-5
Step-by-step explanation:
We can use the slope formula to find the slope
m = ( y2-y1)/(x2-x1)
=(-12 -8)/(3 - -1)
=(-12-8)/(3+1)
= -20/4
= -5
Hopefully you can read it this time
The mass of a freight train is 9.98 ⋅ 10^6 kilograms. The mass of an aircraft carrier is 7.3 ⋅ 10^7 kilograms. Approximately how many more kilograms is the mass of an aircraft carrier than the mass of a freight train? Show your work and write your answer in scientific notation. (10 points)
9514 1404 393
Answer:
6.302×10^7 kg
Step-by-step explanation:
Since we want to find the difference in mass, we need to have the same exponent on both numbers. For that purpose, it is convenient to change the representation of the train's mass to 0.998×10^7 kg.
The carrier has more mass by the amount of ...
7.3×10^7 -0.998×10^7 = (7.300 -0.998)×10^7 = 6.302×10^7 . . . kg
_____
Your (scientific or graphing) calculator or a spreadsheet can figure this for you and give you the scientific notation display.
Length of Segment RS please!!! Geometry!
Answer:
RS = 18 units
Step-by-step explanation:
the 2 red strokes through RM and MS indicate they are congruent, that is
RM = MS = 9 , then
RS = RM + MS = 9 + 9 = 18 units
Ashley has 100 books that she wants to give away at the rate of n books per week. Write a recursive function that represents the number of books Ashley has at any time. The recursive function that gives the number of books Ashley has at any time is ____=______, started at ____.
Answer:
Total number of books = 100
Number of books Ashley had given away after first week= n
Number of books Ashley had given away after second week= 2n
Number of books Ashley had given away after w week= wn
Books = Total - Number of Books she will give away
Books = 100 - wn
Step-by-step explanation:
hope this helps
evelyn wants to estimate the proportion of people who own a tablet computer. a random survey of individuals finds a 95% confidence interval to be (0.62,0.78). what is the correct interpretation of the 95% confidence interval? select the correct answer below: we estimate with 95% confidence that the sample proportion of people who own a tablet computer is between 0.62 and 0.78. we estimate with 95% confidence that the true population proportion of people who own a tablet computer is between 0.62 and 0.78. we estimate that 95% of the time a survey is taken, the proportion of people who own a tablet computer will be between 0.62 and 0.78.
The correct interpretation of the 95% confidence interval is: "We estimate with 95% confidence that the true population proportion of people who own a tablet computer is between 0.62 and 0.78."
This means that if we were to repeat the survey many times and construct a confidence interval for each sample, 95% of those intervals would contain the true proportion of people in the population who own a tablet computer. The interval (0.62, 0.78) is the range of values that is likely to contain the true population proportion with 95% confidence, based on the sample data.
Hence, the correct interpretation of the 95% confidence interval is:
"We estimate with 95% confidence that the true population proportion of people who own a tablet computer is between 0.62 and 0.78."
Learn more about confidence interval here: https://brainly.com/question/17097944
#SPJ11
5m=-20 step by step plz
Answer:
- 4
Step-by-step explanation:
Step 1:
5m = - 20
Step 2:
m = - 20 ÷ 5
Answer:
m = - 4
Hope This Helps :)
draw a rectangular prism. a rectangular prism has how manya) faces b) edges c) vertices
A rectangular prism has 6 faces, 8 vertices and 12 edges.