Answers: 80 pennies and 160 nickels
============================================================
Explanation:
We have n = 2p, which means we can replace every copy of n with 2p like so
0.01p + 0.05n = 8.80
100*(0.01p + 0.05n) = 100*8.80
p + 5n = 880
p + 5(2p) = 880
p + 10p = 880
11p = 880
p = 880/11
p = 80
There are 80 pennies
This leads to n = 2p = 2*80 = 160 nickels
------------------
Check:
80 pennies = 80 cents
160 nickels = 5*160 = 800 cents
80 pennies + 160 nickels = 80 cents + 800 cents = 880 cents = $8.80
The answers are confirmed.
Answer:
Madi has 80 pennies and 160 nickels
Step-by-step explanation:
Because we know \(n=2p\), we can substitute \(n\) for \(2p\) in the other equation, that way you only have to work with one variable:
\(0.01p+0.05n=8.80\)
\(0.01p+0.05(2p)=8.80\)
\(0.01p+0.1p=8.80\)
\(0.11p=8.80\)
\(p=80\)
Now we can plug our value of \(p\) into the equation \(n=2p\) to get the number of nickels:
\(n=2p\)
\(n=2(80)\)
\(n=160\)
So, Madi has 80 pennies and 160 nickels.
what's the distance between points A and B
Answer:
AB = 10 units============
GivenEndpoints A(-8, -4) and B(2, - 4)Find the length of ABSince both points have same y-coordinate, the distance between the points is the difference of x-coordinates:
AB = 2 - (-8) = 2 + 8 = 10 unitsChoose an acre of land in Canada at random. The probability is 0.38 that it is forest and 0.07 that it is agricultural. What is the probability that the acre chosen is not forested? Enter your answer to two decimal places. probability: What is the probability that it is either forest or agricultural? Enter your answer to two decimal places probability: IS We provar a randomly chosen acre in Canada is something other than forest or agricultural? Enter your answer to two decimal places. probability:
Probability of chosen the acre of land as per given conditions are as follow:
a. Probability of chosen the acre of land not forested is 0.62.
b. Probability of chosen the acre of land either forest or agriculture is 0.45.
c. Probability of chosen the acre of land other than forest or agriculture is non-forested which is equal to 0.62.
As given in the question,
Given probability are:
Probability of chosen the acre of land is forest is equal to 0.38.
Probability of chosen the acre of land is agriculture is equal to 0.07.
Probability of chosen the acre of land as per given conditions are as follow:
a. Let P(A) represents the probability of chosen the acre of land is forest.
Then P(A') is the probability of not forested.
P(A) + P(A') = 1
⇒0.38 + P(A') = 1
⇒ P(A') = 1 - 0.38
⇒ P(A') = 0.62
b. Let P(G) is the probability of chosen acre of land agricultural.
No common land given for forest or agriculture, they are independent events.
P(A∩G) = 0
Probability of chosen the acre of land either forest or agriculture
= P( A or G)
= P(A) + P(G) - P(A∩G)
= 0.38 + 0.07 -0
= 0.45
c. Probability of chosen the acre of land other than forest or agriculture is non-forested which is equal to 0.62.
Therefore, probability of chosen the acre of land as per given conditions are as follow:
a. Probability of chosen the acre of land not forested is 0.62.
b. Probability of chosen the acre of land either forest or agriculture is 0.45.
c. Probability of chosen the acre of land other than forest or agriculture is non-forested which is equal to 0.62.
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all numbers between 1 and 2 are rational numbers true or false
Given that
1:2
now,
1*2
2
Refer back to the ROI formula. Even if there were no parenthesis around the numerator (today's price - your price), explain why you would still carry out that subtraction first before the division and multiplication.
Question example:
Tori bought one share of Chipotle stock on Nov 1, 2016 for $396.33. Then, four years later, she sold it and the closing price for that day was $778.38.
a)How much money did she gain/lose with this stock?
b)What was Tori’s return on investment?
Answer and explanation:
The ROI(Return on investment) formula calculates the percentage return on the initial cost of investment.
To calculate return on investment, we must first calculate how much is gained or lost by subtracting price of investment when sold from price of investment when bought.
In the question above, the gain on the investment is gotten by subtracting closing price of Chipotle stock four years later $778.38 from price of Chipotle stock when it was bought on Nov 1, 2016 $396.33= $382.05
By getting our gain or loss on investment first, we are able to find the Return on investment(ROI) in percentage thus: $382.05/$396.33×100/1= 96.39%
We simply cannot divide first before subtraction because we need to get the gain or loss on investment and then express it as a percentage of the initial investment cost to get our ROI
11. The scale of a dollhouse is l in: 2 ft. Which of the following would most likely be the measurement of the heightof the dollhouse's front doorA 21in2No - - -B. 3-Ft2O c. 14 inO D. 14H12. A flagpole casts a shadow 5 ft. long. At the same time, a 3 ft. yardstick casts a shadow 1.5 ft. long. How tall isthe flagpole?O A. 5 ft.B. 10 ft.O C. 20 ft.O D. 15 ft
We want to find the height of the dollhouse's front door.
Since the dollhouse's measures is given in inches, we have just two possible right choices:
because the answer should be given in inches.
If the correct option were the third one, 14 in,
then the real door measure would be twice in feet: 28 feet.
If the correct option were the first one, 3 1/2 in,
then the real door measure would be twice in feet: 7 in.
28 feet is a really big door. It is more likely for a house to have a 7 in door.
Answer: A. 3 1/2 inDescribe each correlation value.
A. r = 0.921
B. r=-0.873
C. r = -0.281
D. r = 0.303
[Select]
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The correlation coefficient having -negative value means inverse correlation and +positive value means direct relationship.
What Is the Correlation Coefficient?An analytical way to gauge how strongly two variables are linearly related is to use the correlation coefficient. Anywhere between -1 and 1 can be its value. A correlation coefficient of -1 indicates a perfect negative, inverse, or inverse-correlation, where values in one series increase as those in the other decline and vice versa. An exact positive correlation or direct relationship is indicated by a coefficient of 1, or 1. In the absence of a linear relationship, a correlation coefficient of 0 indicates.
When evaluating the level of association between two variables, factors, or data sets, scientists and financiers alike use correlation coefficients. Assuming, for instance, that there is a strong positive correlation between oil prices and forward returns on oil stocks given that high oil prices are advantageous for crude producers
Now,
For
A. r = 0.921 -Direct relationship.
B. r= -0.873 -Inverse relationship.
C. r = -0.281 -Inverse relationship.
D. r = 0.303 -Direct relationship.
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A large bucket holds 5 gallons of water, which is about the same as 19 liters of water.
A small bucket holds 2 gallons of water. How many liters does it hold?
Answer:
7.57082 or its just 7.5
How many kilograms is a rice packet that weighs 750 g?
(Please answer quick!)
Answer:
0.750 kg
Step-by-step explanation:
Hi there ,
As you know 1 kg = 1000g
So when we convert g to kg then we divide the given value of grams by 1000.
So in this case we have 750 grams, changing it we have :
\(\frac{750}{1000}\)
Since there are 3 zeroes in 1000 we move the decimal point by 3 places to the left leaving the answer as : 0.750 kg or \(\frac{750}{1000}\) kg
Please mark me as brainliest if you found the above answer helpful
Today, the waves are crashing onto the beach every 4. 4 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 4. 4 seconds. Round to 4 decimal places where possible. A. The mean of this distribution is b. The standard deviation is c. The probability that wave will crash onto the beach exactly 3. 2 seconds after the person arrives is P(x - 3. 2) - d. The probability that the wave will crash onto the beach between 0. 4 and 1. 8 seconds after the person arrives is P(0. 4 < x < 1. 8) = e. The probability that it will take longer than 2. 48 seconds for the wave to crash onto the beach after the person arrives is P(x > 2. 48) - f. Suppose that the person has already been standing at the shoreline for 1. 3 seconds without a wave crashing in. Find the probability that it will take between 2. 7 and 4. 3 seconds for the wave to crash onto the shoreline. G. 29% of the time a person will wait at least how long before the wave crashes in? seconds. H. Find the minimum for the lower quartile. Seconds. Hint: Written Hint Helpful Videos: Probability ( [+], Conditional Probability [+] Conditional Probability [+] Percentiles [+] Submit Question
A. Mean = 2.2 seconds, B. Standard deviation = 1.271 seconds, C. P(x=3.2) = 0, D. P(0.4 < x < 1.8) = 0.3636, E. P(x > 2.48) = 0.4918, F. P(2.7 < x < 4.3) = 0.5455, G. 1.5125 seconds, H. 0.7777 seconds
The answers are as follows:
A. The mean of the distribution is 2.2 seconds.
B. The standard deviation of the distribution is 1.2728 seconds.
C. The probability that a wave will crash exactly 3.2 seconds after the person arrives is zero, since this is a continuous distribution.
D. The probability that a wave will crash between 0.4 and 1.8 seconds after the person arrives is 0.3182.
E. The probability that it will take longer than 2.48 seconds for the wave to crash after the person arrives is 0.4359.
F. The probability that it will take between 2.7 and 4.3 seconds for the wave to crash onto the shoreline is 0.4545.
G. The person will wait at least 3.6 seconds before the wave crashes in 29% of the time.
H. The minimum for the lower quartile is 1.2031 seconds.
The given problem involves a Uniform distribution, which is a continuous distribution that assumes equal probability of the occurrence of all values within a given range. The mean and standard deviation of the distribution can be calculated using the formulas for a Uniform distribution. The probabilities of various events can be calculated using the properties of a Uniform distribution.
In part C, the probability of a wave crashing exactly at a particular time is zero since it is a continuous distribution. In part D, the probability of a wave crashing between two particular times can be found by calculating the area under the probability density function between those times. Similarly, in part E, the probability of a wave crashing after a particular time can be found by calculating the area under the probability density function after that time.
In part F, we need to find the probability that a wave will crash between two particular times given that the person has already been waiting for 1.3 seconds. This is an example of a conditional probability and can be calculated using the conditional probability formula.
In part G, we need to find the minimum time for which the wave will crash in 29% of the time. This can be found by calculating the inverse of the cumulative distribution function.
Finally, in part H, we need to find the minimum time at which the lower quartile occurs. This can be calculated using the formula for the lower quartile of a Uniform distribution.
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Suppose the future value of a \( 7.75 \% \) simple interest loan is \( \$ 1,321.17 \) at the end of 230 days. Find the present value of the loan. State your result to the nearest penny.
The present value of the loan is found to be approximately $70.28.
To find the present value of a loan, we can use the formula:
Present Value = Future Value / (1 + (interest rate * time))
Given that the future value is $1,321.17, the interest rate is 7.75%, and the time is 230 days, we can plug in these values into the formula:
Present Value = 1321.17 / (1 + (0.0775 * 230))
Calculating the expression in the parentheses first:
Present Value = 1321.17 / (1 + 17.8075)
Simplifying further:
Present Value = 1321.17 / 18.8075
Evaluating the division:
Present Value ≈ $70.28
Therefore, the present value of the loan is approximately $70.28.
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-4x - 5 = -6x - 21 answer this pls
Answer:
x = -1.6
Step-by-step explanation:
To find the value of x
4x - 5 = -6x - 21
Transpose
4x + 6x = -21 + 5
10x = -16
x = -16/10
x = -1.6
A mix of penuts and raisins contain five peanuts for every two raisins
There are 60 peanuts and 24 raisins in the mix. We can use given ratio to set up a system of equations.
To solve this problem, we can start by using the ratio of peanuts to raisins, which is 5:2. This means that for every 5 peanuts, there are 2 raisins. We can use this ratio to set up a system of equations. Let x be the number of peanuts in the mix, and y be the number of raisins in the mix. We know that:
x + y = 84 (the total number of peanuts and raisins is 84)
x/y = 5/2 (the ratio of peanuts to raisins is 5:2)
We can use the second equation to solve for x in terms of y:
x/y = 5/2
x = (5/2)y
We can then substitute this expression for x into the first equation:
x + y = 84
(5/2)y + y = 84
(7/2)y = 84
y = 24
Finally, we can use this value of y to solve for x:
x + y = 84
x + 24 = 84
x = 60
Therefore, there are 60 peanuts and 24 raisins in the mix.
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Complete Question:
A mix of peanuts and raisins contains five peanuts for every two raisins. So if the total number of peanuts and raisins in a mix is 84, calculate the number of peanuts of raisins in the mix.
HURRY ASAP HELP
Store A charges $1,200 for repairs with a 6 percent sales tax. Store B charges $1,350 with a 7 percent sales tax. Explain how you would determine the amount of money saved by using Store A instead of Store B?
Step-by-step explanation:
Store A:
6% of 1,200 is 72
72 + 1,200 = 1,272
Thus, store A has a total of 1,272
Store B:
7% of 1,350 is 94.5
94.5 + 1,350 = 1444.5
Thus, Store B has a total of 1444.5
1444.5 - 1,272 = 172.5
Thus, Store A is cheaper.
Answer:
sales tax- rate×original amount
A- 6/100(1200)=72
B- 7/100(1350)=94.5
Using the Bohr equation to calculate the frequency, in Hz, of a
C5+ photon. The photon moves from n=6 to n=2. Have your answer in 3
significant figures.
the frequency of the C5+ photon is approximately 7.31 x 10^14 Hz, rounded to three significant figures.
The frequency of a photon can be calculated using the Bohr equation. In this case, we are considering a C5+ ion transitioning from energy level n=6 to n=2. The Bohr equation is given by:
ν = R_H * (1/n_f^2 - 1/n_i^2)
where ν is the frequency of the photon, R_H is the Rydberg constant (approximately 3.29 x 10^15 Hz), n_f is the final energy level, and n_i is the initial energy level.
Substituting the values into the equation, we have:
ν = 3.29 x 10^15 Hz * (1/2^2 - 1/6^2)
Simplifying the equation further, we get:
ν = 3.29 x 10^15 Hz * (1/4 - 1/36)
Calculating the value, we find:
ν = 3.29 x 10^15 Hz * (8/36)
ν ≈ 7.31 x 10^14 Hz
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thompson and thompson is a steel bolts manufacturing company. their current steel bolts have a mean diameter of 140 millimeters, and a standard deviation of 8 millimeters. if a random sample of 49 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by more than 1.8 millimeters? round your answer to four decimal places.
The probability that the sample mean differs from the population mean by 1.8mm and is rounded off to 4 decimal places is 0.8220
According to the given problem the mean diameter μ= 140 mm (population mean) and the standard deviation is σ=8mm
random sample size, n= 49 steel bolts is selected
Let the random variable that represents the diameter of steel bolts be denoted by x and from the problem we have x = 1.8mm
Let z = (x-μ) / (σ/√n ) (1)
using formula (1) and when the sample mean differs from the population mean by more than 1.8mm
z = 1.8/(8/√49 )
⇒z = 63/40 = 1.575
The probability that the sample mean will differ from the population mean by more than 1.8 mm
P( z > 1.575) = 1 - P(z< 1.575) = 1 - 0.178 = 0.822
The probability that the sample mean will differ from the population mean by more than 1.8 mm = 0.8220
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a water system of 2 in. (inside diameter) pipe, having a length of 1 4 mile, is to be flushed with a volume of water equal to twice that contained in the system. how much water (gallons) must be flushed through the system?
To flush twice the volume of water contained in the system, you would need to flush 18.2 gallons x 2 = 36.4 gallons of water through the system.
Calculate the volume of waterTo calculate the volume of water contained in the system, you would use the formula for the volume of a cylinder: V = πr^2h, where r is the radius of the pipe (half the diameter), h is the length of the pipe, and π is approximately 3.14.
In this case, the radius of the pipe is 2 inches / 2 = 1 inch, and the length of the pipe is 1/4 mile = 1320 feet (since there are 5280 feet in a mile).So the volume of the pipe is: V = πr^2h = 3.14 x (1 inch)^2 x 1320 feet = 4201.6 cubic inches.Since there are 231 cubic inches in a gallon, the number of gallons of water in the pipe is: 4201.6 cubic inches / 231 cubic inches/gallon = 18.2 gallons.To flush twice the volume of water contained in the system, you would need to flush 18.2 gallons x 2 = 36.4 gallons of water through the system.Learn more about the volume of water here:
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what are the domain and range of the following quadratic
Answer:
ranalllldooo
Step-by-step explanation:
suiiiiiii
The next term in the sequence 15, 12, 8, 3
Answer:
I think the answer is 17
Step-by-step explanation:\
The pattern is counting down. 3 plus 5 is 8, 8 plus 4 is 12, 12 plus 3 is 15, and 15 plus 2 is 17.
I hope this helps :)
Zach is preparing for an interview and needs to purchase 2 ferns and 7 balloons. Each balloon costs $2.30, and he has $50 total to spend. What is the maximum amount he could spend on each fern?
Answer: $16.95 per fern tree
Step-by-step explanation:
first, you want to find how much money the 7 balloons cost:
7(2.30) = 16.10
second, you want to find how much money you have left AFTER buying 7 balloons:
50 - 16.10 = 33.90
third, divide the money you have left by 2 (2 fern trees) to find the final answer:
33.90/2 = 16.95
i havent done these types of questions in some time, so please let me know if there are any mistakes. good luck! ꒰ ˆ ꒵ ˆ꒱
Michael has a bag of marbles. The frequency of selecting each color is recorded in the table below.
Outcome Frequency
Green 4
Black 6
Orange 5
Based on the given frequency, determine the experimental probability of selecting an orange marble.
0.27
0.33
0.40
0.67
The probability of selecting an orange marble is 0.33.
Option B is the correct answer.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
The number of times each marble is selected.
Green = 4
Black = 6
Orange = 5
Total number of times all marbles are selected.
= 4 + 6 + 5
= 15
Now,
The probability of selecting an orange marble.
= 5/15
= 1/3
= 0.33
Thus,
The probability of selecting an orange marble is 0.33.
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The volume of a rectangular prism is given by the expression10x3 + 46x2 – 21x – 27. The area of the base of the prism is given by the expression 2x2 + 8x – 9. Which of the following expressions represents the height of the prism? (V = Bh)
8x - 3
3x - 5
5x + 3
42x + 3
The height of the prism is 5x + 3 units.
What is volume?
A measurement of three-dimensional space is volume. It is frequently expressed numerically using SI-derived units, as well as different imperial or US-standard units. Volume and the definition of length are related.
Given:
The volume of a rectangular prism is given by the expression
10x^3 + 46x^2 – 21x – 27. The area of the base of the prism is given by the expression 2x^2 + 8x – 9.
We have to find the height of prism.
Volume of the rectangular prism = Base × Height
The expression is in the Question be
10x ³ + 46 x² - 21x -27
And the area of the base of the prism is given by the expression
2x² + 8x - 9 .
Put in the formula
10x ³ + 46 x² - 21x -27 = 2x² + 8x - 9 × Height
The factor of 10x ³ + 46 x² - 21x -27 are (5x +3 )(2x² + 8x - 9) .
put in the formula
(5x +3 )(2x² + 8x - 9) = (2x² + 8x - 9) × Height
Cancelled 2x² + 8x - 9 on both side.
(5x+3)unit = Height
Hence, the height of the prism is 5x + 3 units.
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What is 25 mcg to mg ?
25 mcg is equal to 0.025 mg. both are unit of measurement of weight.
The prefix "mcg" stands for microgram, which is a unit of measurement in the metric system that is one millionth of a gram (10⁻⁶ g). On the other hand, "mg" stands for milligram, which is one thousandth of a gram (10⁻³ g). Therefore, to convert from mcg to mg, you need to divide the value in mcg by 1000.
In this case, 25 mcg divided by 1000 equals 0.025 mg. It's important to be mindful of the units when dealing with measurements, as confusion between different units of measurement can lead to incorrect calculations and dosing errors.
Overall, when converting from mcg to mg, you can easily make the conversion by dividing the value in mcg by 1000, as the prefix "milli" represents a factor of 1000 in the metric system.
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for what value of k, if any, will y=ke−2x 4cos(3x) be a solution to the differential equation y′′ 9y=26e−2x ?
There is no value of k that satisfies the given differential equation\(y'' + 9y = 26e^{(-2x).\)
To determine the value of k, we need to substitute the given function y = \(ke^{(-2x) }+ 4cos(3x)\)into the differential equation \(y'' + 9y = 26e^{(-2x)\) and see if it satisfies the equation.
First, let's find the second derivative of y. The derivative of \(ke^{(-2x)\)with respect to x is \(-2ke^{(-2x)\), and the derivative of 4cos(3x) with respect to x is -12sin(3x). Therefore, the second derivative of y is:
y'' = (-2k)\(e^{(-2x)\) - 36sin(3x)
Now, let's substitute this expression into the differential equation:
(-2k)\(e^{(-2x)\) - 36sin(3x) + 9(\(ke^{(-2x)\)) + 4cos(3x)) = 26\(e^{(-2x)\)
Simplifying this equation:
(-2k + 9k)\(e^{(-2x)\) + (36 - 9(4))sin(3x) + 9(4)cos(3x) = 26\(e^{(-2x)\)
(-2k + 9k)\(e^{(-2x)\) - 24sin(3x) + 36cos(3x) = 26\(e^{(-2x)\)
(-2k + 9k - 26)\(e^{(-2x)\) - 24sin(3x) + 36cos(3x) = 0
For this equation to hold for all values of x, the coefficients of the terms involving \(e^{(-2x)\), sin(3x), and cos(3x) must all be zero. Therefore, we can set up the following equations:
-2k + 9k - 26 = 0 (coefficient of \(e^{(-2x)\))
-24 = 0 (coefficient of sin(3x))
36 = 0 (coefficient of cos(3x))
The second and third equations indicate contradictions since -24 cannot equal zero and 36 cannot equal zero. Therefore, there is no value of k that satisfies the given differential equation.
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A population has a mean of u = 105 and standard deviation of standard deviation o = 10 What is the probability of obtaining a sample of n = 25 scores
a) with a mean greater than 94
b) with a mean less than 105
c) with a mean less than 91
d) with a mean between 98 and 103
a) The probability of obtaining a sample of n = 25 scores with a mean greater than 94 is approximately 0.9938.
b) The probability of obtaining a sample of n = 25 scores with a mean less than 105 is approximately 0.5.
c) The probability of obtaining a sample of n = 25 scores with a mean less than 91 is approximately 0.0014.
d) The probability of obtaining a sample of n = 25 scores with a mean between 98 and 103 is approximately 0.1056.
a) For part (a), we calculate the z-score using the given sample mean of 94, the population mean of 105, the population standard deviation of 10, and the sample size of 25. The z-score is -5.5, and we find the probability associated with this z-score to be approximately 0.9938. This represents the likelihood of obtaining a sample mean greater than 94.
b) To calculate the probability for part (b), we consider the sample mean of 105, which is equal to the population mean. Since the mean of the sample is the same as the population mean, the probability is 0.5. This means that there is a 50% chance of obtaining a sample mean less than 105.
c) For part (c), we calculate the z-score using the given sample mean of 91, the population mean of 105, the population standard deviation of 10, and the sample size of 25. The z-score is -14, and the probability associated with this z-score is approximately 0.0014. This represents the likelihood of obtaining a sample mean less than 91.
d) To calculate the probability for part (d), we need to calculate the z-scores for the lower and upper limits of the given range. The z-score for 98 is -3.5, and the z-score for 103 is -1. We then find the area under the curve between these two z-scores, which is approximately 0.1056. This represents the probability of obtaining a sample mean between 98 and 103.
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given: ee is the midpoint of \overline{bd} bd and \overline{ac} \perp \overline{bd}. ac ⊥ bd . prove: \triangle bae \cong \triangle dae△bae≅△dae.
The given statement can be proven by using congruent triangles and the properties of perpendicular lines. The two paragraphs below provide an explanation of the proof.
To prove that triangle BAE is congruent to triangle DAE, we can use the properties of right angles and the fact that EE is the midpoint of BD.
First, since AC is perpendicular to BD, we have a right angle at point E. This means that angle BAE is congruent to angle DAE.
Secondly, we know that EE is the midpoint of BD. This implies that the segments BE and DE are congruent.
By combining these two pieces of information, we can apply the Side-Angle-Side (SAS) congruence criterion. We have angle BAE congruent to angle DAE, segment BE congruent to segment DE, and segment AE common to both triangles.
Thus, we can conclude that triangle BAE is congruent to triangle DAE, as required.
In summary, the proof relies on the fact that AC is perpendicular to BD, which gives us a right angle at point E. Additionally, the midpoint property of EE ensures that BE is congruent to DE. By applying the SAS congruence criterion, we can establish the congruence of triangles BAE and DAE.
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ABC is similar to APQ. Find x and y.
Answer:
x = 10.8
y = 11.2
Step-by-step explanation:
AB : AP = AC : AQ
5 :(5+9) = 6 : (6+x)
5: 14 = 6 :(6+x)
5(6+x) = 14*6
30 + 5x = 84
5x = 54
x = 10.8
AB : AP = BC :PQ
5 :14 = 4 : y
5y = 14*4
y = 11.2
Help and I will give brainliest
Don’t answer part a and part b
BRAINLIEST IF YOU ANSWER THANKS!!!
ANSWER:
1. translation: 3 units right and 1 unit down
2. 130°
If you translated the point a (4,-3) left 2 units and down 6 units where is A
marking brainliest if correct
Solve the PROPORTION
3/4 = 1/2y
y=
Answer:
y=1 1/2 (fraction)
or
y=1.5 (decimal)
Step-by-step explanation:
We want to get y alone, so we need to get rid of the 1/2 in front of it. To do that we can multiply each side by 2 since 1/2 + 1/2 = 1.
3/4= 1/2y
multiply each side by 2
To multiply 3/4 by 2 you need to multiply the numerators and then multiply the denominators
2•3=6 & 4 • 1 =4
6/4
simplify
y=1 1/2
(If you need it in decimal form it would be y=1.5)
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!