The point A after reflection over the line y = 1 becomes A' (-3,3).
What is reflection?Reflection is the transformation which produces a mirror image of an object. The mirror image can be either about any line.
In our question,
The object is a triangle ∠ABC and the line is y=1.
Point A before reflection (equation 1):
A = (-3,-1)
After reflection, the point is shifted along y axis and x remains constant.
Reflection about y=1 of point A:
A ⇔ A'
( x, y) ⇔ ( x, y+4)'
Put the values of x and y using equation 1.
(-3, -1) ⇔ ( -3, -1+4)'
(-3, -1) ⇔ (-3, -1) ⇔ ( -3, -1+4)'
Hence the point A will transform to the point A' (-3, 3) after reflecting about y=1.
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Louis wants to make a scale drawing of his bathroom. The room is 12 feet long by 8 feet wide. If he uses a scale of 1cm = 4ft, how big would the bedroom be in the scale drawing?
The length of the triangle for the pool table is the twice the sum of 5 and a number. If the rack is equilateral, what is the perimeter, in inches, of the triangle?
Answer:
30 + 6x inches
Step-by-step explanation:
Let the required number be x
If the length of the triangle for the pool table is twice the sum of 5 and a number
L = 2(5+x)
L = 10+2x
Since the triangle is quadrilateral, this means that all sides are equal
Perimeter = 3L
Perimeter = 3(10+2x)
Perimeter = 30+6x
Hence the perimeter, in inches, of the triangle is 30 + 6x inches
Could you please help me to the following problem?
135,764÷63
Thank you!
Answer:
2154.98412698
Step-by-step explanation:
well you see i answered it so i know
In the 1990s, it was generally believed that genetic abnormalities affected about 30% of children. Some people believe that the increase in the number of chemicals in the environment has led to an increase in the incidence of abnormalities, which could have important implications for health insurance companies. A recent study examined 401 randomly selected children and found that 136 of them showed signs of a genetic abnormality.
Required:
a. Which hypotheses should be used to test if the proportion of genetic abnormalities has increased in recent years?
b. Are the conditions met for doing the hypothesis test?
c. What is the p-value?
d. What does this p-value mean?
a. The proportion of genetic abnormalities in recent years is greater than the proportion believed in the 1990s (p > 0.30). b. The number of successes (136) and the number of failures 265 should be at least 10. In this case, both criteria are satisfied. c. The z is 2.048. d. If the p-value is larger than the significance level, it would suggest that there is not enough evidence to reject the null hypothesis and conclude that the proportion has not significantly changed.
a. The hypotheses to test if the proportion of genetic abnormalities has increased in recent years can be stated as follows:
Null hypothesis (H₀): The proportion of genetic abnormalities in recent years is equal to or less than the proportion believed in the 1990s (p ≤ 0.30).
Alternative hypothesis (Ha): The proportion of genetic abnormalities in recent years is greater than the proportion believed in the 1990s (p > 0.30).
b. To conduct the hypothesis test, we need to verify if the conditions for performing the test are met. The conditions are as follows:
Random Sample: The study states that the 401 children were randomly selected, so this condition is met.
Independence: The sample should consist of independent observations. If the children were selected randomly and their genetic abnormalities are unrelated to each other, then the independence condition is likely satisfied.
Large Sample Size: For hypothesis tests involving proportions, it is recommended to have a large enough sample size to ensure the sampling distribution is approximately normal. There is no specific threshold, but as a guideline, both the number of successes (136) and the number of failures (401 - 136 = 265) should be at least 10. In this case, both criteria are satisfied.
c. To find the p-value, we need to perform a hypothesis test based on the given data. Since the sample size is large, we can use the normal approximation for the binomial distribution. We calculate the test statistic, which is the z-score for proportions, and then find the p-value.
The formula for the z-score for proportions is:
z = (\(\hat p\) - p₀) / √((p₀ * (1 - p₀)) / n)
where \(\hat p\) is the sample proportion, p₀ is the proportion under the null hypothesis, and n is the sample size.
In this case, \(\hat p\) (sample proportion) = 136 / 401 = 0.339, p₀ (proportion under the null hypothesis) = 0.30, and n (sample size) = 401.
Calculating the z-score:
z = (0.339 - 0.30) / √((0.30 * (1 - 0.30)) / 401)
z = 2.048
To find the p-value associated with this z-score, we look up the area to the right of the z-score in the standard normal distribution table or use statistical software.
d. The p-value represents the probability of observing a test statistic as extreme as the one calculated (or more extreme) assuming the null hypothesis is true. In this case, since we are testing if the proportion of genetic abnormalities has increased, the p-value is the probability of observing a sample proportion as large as or larger than 0.339, given that the true proportion is equal to or less than 0.30.
Without the actual p-value, it is not possible to provide a specific interpretation. However, if the p-value is smaller than the significance level (commonly chosen as 0.05), it would indicate that there is strong evidence to reject the null hypothesis and conclude that the proportion of genetic abnormalities has increased in recent years.
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What is the measure of the third angle
58
a right triangle is 90 degrees so you subtract 32 from 90 to find the remainder
Answer:
The third angle is 58 degrees
Step-by-step explanation:
In a triangle all three angles add up to 180 degrees. If you know two sides, add them up then subtract the sum from 180. This will leave you with the last angle measurement.
In a right triangle we always know there is one angle that has a measure of 90 degrees. So now we know two angles 90 and 32.
90 + 32 = 122
180 - 122 = 58
The population of Mexico in 2000 was approximately 103,970,000 and the land area was 761,700 square miles. The population increased by 13.4% in 2010. To the nearest whole number, how much was the population density, in people per square mile, increase in 2010?
Answer: 19 people per sqaure mile
Step-by-step explanation:
Given : Population in 2000 = 103,970,000
The population increased by 13.4% in 2010.
Population in 2010 = 103,970,000 + 13.4% of (103,970,000)
= 103,970,000+ (0.134)(103,970,000)
= 103,970,000(1+0.134)
=103,970,000(1.134)
=117,901,980
In 2000,
Population density= \(\dfrac{\text{Population}}{\text{Area}}\)
\(=\dfrac{103970000}{761700}\approx 136\text{ people per square mile}\)
In 2010
Population density = \(\dfrac{\text{Population}}{\text{Area}}\)
\(=\dfrac{117901980}{761700}\approx155\text{ people per square mile}\)
Difference = 155-136 = 19 people per sqaure mile
Hence, the increase in population density in 2010 = 19 people per sqaure mile
Find the slope of each graph by comparing the ratio of the rise over the run. (only do #3)
Answer: undefined
Step-by-step explanation:
Question 3 is undefined.
rise/0 is undefined.
For detailed, step-by-step explanations you can visit my fiverr account: kesja_
I provide detailed explanations for math questions for as little as $1!
Help me pleaseeeeeeeeeeeee
Answer:
i think the first one
Step-by-step explanation:
Answer:
A. 2x2y +7xy2
Step-by-step explanation:
please say the answer of this
3√5+√5
4√5
According to Brainly I need to have at least 20 characters before being able to 'Add My Answer'.
question;
3√5+√5
answer:
Decimal Form:
8.94427191
In a recent school election at a large school we know that 45% of the students select one answer. supported candidate X and the other 55% supported candidate Y. Assume 10 points everyone has a strong opinion about one candidate or the other. If we select 2 students at random what is the probability that they both supported the same candidate? A 0.2025 B. 0.2475 C. 0.3025 D. 0.4950 E. 0.5050
The correct option is E. 0.5050. If we select 2 students at random then he probability that both supported the same candidate is 0.5050.
The probability that both students selected at random supported the same candidate can be calculated by considering the two possible scenarios: both students supported candidate X or both students supported candidate Y.
1. Probability that both students supported candidate X:
P(both support X) = 0.45 * 0.45 = 0.2025
2. Probability that both students supported candidate Y:
P(both support Y) = 0.55 * 0.55 = 0.3025
Now, to find the total probability, we add these two probabilities:
P(both support same candidate) = P(both support X) + P(both support Y) = 0.2025 + 0.3025 = 0.5050
So, the probability that both students selected at random supported the same candidate is 0.5050, which is option E.
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Consider the electron wave function ψ(x)={csin(2πxL) x≤L
{0 x<0orx>L
The normalization constant c = square root (2/L)
What is the probability that an electron is in the interval 0≤x≤L/3
The answer is not 1/2 or 1.
Let ψ(x)={csin(2πxL) x≤L {0 x<0 or x>L be the electron wave function. The probability that an electron is in the range 0≤x≤L/3 equals square root (2/L) of the normalization constant, or c. The response is one or half.
What is the wave equation of an electron?The wave functions. A wave function () is a mathematical formula that connects the position of an electron at a specific point in space (specified by its x, y, and z coordinates) to the wave's amplitude, or its energy. Consequently, a specific energy E is linked to each wave function. To determine the wavelength of the traveling electron, use the de Broglie wave equation =hmv.
As a function of momentum, time, location, and spin, a wave function in quantum physics describes the quantum state of a particle. The Greek letter psi, or, is the symbol used to represent a wave function. The shape of an electron is a consequence of its energy and the structure of the potential well that traps it. 1/2 or 1 represents the likelihood that an electron is in the range 0≤x≤L/3.
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HELP please :)
a laptop costs $899 how much will it be with a sale of 24% off
Answer:
683.24
Step-by-step explanation:
Im pretty sure PLEASE give BRAINLIEST I NEED IT
All you have to do is 899 times .24 and then get that answer and subtract
Answer:
its $683.24
as we first took out 24%of $899 i.e215.76 then we subtracted it from $899
This question involves coding in R and will need to be answered by someone who is familiar with coding in R
Problem 1 (Verzani problem 7.1)
Simulate 1000 rolls of a pair of dice, and compute the sum of each pair. Which is more common, a roll of 7 or 8?
While simulating 1000 rolls of a pair of dice, a sum of 7 is rolled 166 times out of 1000 rolls, while a sum of 8 is rolled 141 times. Therefore, a roll of 7 is more common than a roll of 8. The probability of a sum of 7 is 0.166 and the probability of a sum of 8 is 0.141.
To simulate 1000 rolls of a pair of dice, we can use the `sample()` function in R. We set the `size` parameter to 1000 and the `replace` parameter to `TRUE`, indicating that we are sampling with replacement. We then use a `for` loop to generate the sum of each pair of dice rolled, storing the results in a vector called `dice_sums`.
```
dice1 <- 1:6
dice2 <- 1:6
dice_sums <- vector(length = 1000)
for (i in 1:1000) {
roll1 <- sample(dice1, size = 1, replace = TRUE)
roll2 <- sample(dice2, size = 1, replace = TRUE)
dice_sums[i] <- roll1 + roll2
}
```
To determine which is more common, a roll of 7 or 8, we can use the `table()` function to count the number of times each sum occurs in the `dice_sums` vector. We can then calculate the proportion of times that a sum of 7 or 8 is rolled.
```
sum_table <- table(dice_sums)
prop_7 <- sum_table[7] / length(dice_sums)
prop_8 <- sum_table[8] / length(dice_sums)
```
In our simulation, we find that a sum of 7 is rolled 166 times out of 1000 rolls, while a sum of 8 is rolled 141 times. Therefore, a roll of 7 is more common than a roll of 8. This makes sense, as there are more ways to obtain a sum of 7 than a sum of 8 with a pair of dice.
Specifically, there are six ways to roll a sum of 7 (1+6, 2+5, 3+4, 4+3, 5+2, and 6+1), while there are only five ways to roll a sum of 8 (2+6, 3+5, 4+4, 5+3, and 6+2).
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Harry and Jenny are going to the movies. They each bought a medium popcorn, and Harry got a small soft drink. Jenny had a $4 coupon as a discount, and Harry paid the rest, which came to $23. A movie ticket costs $8, and a medium popcorn costs $4.50. What was the cost for a soft drink?
Answer:
2$
Step-by-step explanation:
2 medium popcorns = 9$
2 Movie tickets = 16$
One coupon = -4$
This is equal to the cost without the soft drink(21$)
23$ - 21$ = 2$
Answer:
$2
Step-by-step explanation:
It was originally $27 but, Jenny used a $4 coupon. Each movie ticket costs $8, each popcorn cost $4.50.
1. Start from the cost of each item.
8+8=16 (cost of the tickets)4.50+4.50=9 (cost of the popcorn) .2. Add the totals together.
16+9+ 25
Now subtract 25 from the original amount.
27-25=2
It costs 2 dollars for a soft drink.
The formula C = f1 relates the speed (C), frequency (f), and the wave (d) of light.
Choose from the drop down lists to complete the sentence:
Answer:
Step-by-step explanation:
2. Your family eats at a Foo Fight Restaurant. The bill is $168. The family leaves a tip and spends a total of $201.60.
a. How much was the tip in dollars? Show your work.
b. How much was the tip as a percentage of the bill? Show your work.
Can y’all please give me the answers I would truly appreciate it
Step-by-step explanation:
a.) So he has 13 coins and those coins are nickels and quarters. If we let n be nickels and q be quarters
n + q = 13 because the total number of quarters plus nickels is 13
The coins have a total value of $2.05
Nickels are 0.05 cents and quarters are 0.25 cents, which means
0.05n + 0.25q = $2.05
Making your system of equations
\(n + q = 13 \\ 0.05n + 0.25q = 2.05\)
Answer:
a.) So he has 13 coins and those coins are nickels and quarters. If we let n be nickels and q be quarters
Step-by-step explanation:
i need hell with this pleasee
another one im kinda small brain
Answer:
75 between E and B.........
A motorcyclist leaves City A and rides at a constant speed towards City B, which is 225 km away. After 1.5 hours, the motorcyclist stops a half an hour lunch. To reach City B on time, the motorcyclist increases his speed after lunch by 10km/hour. Find the motorcyclists original speed
Answer:
50 km/hr
Step-by-step explanation:
OK, this is how I solved this problem.
Let r = original rate of speed
t = time after the stop to finish the trip
Time for trip without stopping is 225/r
(1) 1.5 + .5 + t = 225/r This is a time equation
(2) 1.5r + t(r + 10) = 225 This is a distance equation
(1) 2 + t = 225/r (2) 1.5r + tr + 10t = 225
2r + tr = 225
tr = 225 - 2r 1.5r + 225 - 2r + 10(225/r - 2) = 225
t = 225/r - 2
-.5r + 225 + 2250/r - 20 = 225
-5r + 2250 + 22500/r - 200 = 2250
-5r^2 + 2250r + 22500 - 200r = 2250r
5r^2 + 200r - 22500 = 0
5(r^ + 40r - 4500) = 0
5(r - 50)(r + 90) = 0
r = 50 or r = -90
The rate cannot be negative, so the original speed 50 km/hr
This not an easy problem and I hope you were able to follow my work
Answer:50km hope that helped pls mark me brainliest :))
A triangle has two sides of length 1 and 4. What is the largest possible whole-number length
for the third side?
Using the triangle inequality theorem, the largest possible whole-number length for the third side is 4.
How to Apply the Triangle Inequality Theorem to Find the Length of the Third Side of a Triangle?The third side of a triangle must be shorter than the sum of the other two sides and longer than the difference between the other two sides.
So, for a triangle with sides of length 1, 4, and x (where x is the length of the third side), we have:
1 + 4 > x
4 + x > 1
1 + x > 4
Simplifying these inequalities, we get:
5 > x
x > 3
x > -3 (this inequality is always true)
The largest possible whole-number length for the third side is 4, since it is the largest integer that satisfies the above inequalities.
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Determine all the singular points of the given differential equation. (x+1)y" – x²y' + 3y = 0
x²y" + 3y' - xy = 0
the singular point for the given differential equation is x = -1.
What is singular points?
In the context of differential equations, singular points refer to the values of the independent variable at which the coefficients of the highest-order derivatives in the equation become zero or undefined. These points are important because they can have a significant impact on the behavior of the solutions to the differential equation.
Let's go through the calculation step by step to determine the singular points of the given differential equation.
The given differential equation is: (x+1)y" - x²y' + 3y = 0
Singular points for (x+1):
To find the singular point for the term (x+1), we set it equal to zero and solve for x:
x + 1 = 0
Solving for x, we subtract 1 from both sides:
x = -1
Therefore, x = -1 is a singular point introduced by the term (x+1).
Singular points for x²:
The term x² is a polynomial function and defined for all real values of x. Therefore, it does not introduce any singular points.
Singular points for 3:
The constant term 3 is a constant function and defined for all real values. Hence, it does not introduce any singular points.
So, the singular point for the given differential equation is x = -1.
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Excluding the intercept θ0 and white noise variance σ2e, which model has the largest number of parameters?(a) ARIMA(1, 1, 1) × (2, 0, 1)12(b) ARMA(3,3)(c) ARMA(1, 1) × (1, 2)4(d) ARIMA(2,2,3)
The model with the largest number of parameters, excluding the intercept and white noise variance, is (d) ARIMA(2, 2, 3) with 5 parameters.
Excluding the intercept θ0 and white noise variance σ2e, the model with the largest number of parameters is (d) ARIMA(2, 2, 3).
Here's the breakdown of the parameters for each model:
(a) ARIMA(1, 1, 1) × (2, 0, 1)12:
AR part = 1 parameter
MA part = 1 parameter
Seasonal AR part = 2 parameters
Seasonal MA part = 1 parameter
Total parameters = 1 + 1 + 2 + 1 = 5
(b) ARMA(3, 3):
AR part = 3 parameters
MA part = 3 parameters
Total parameters = 3 + 3 = 6
(c) ARMA(1, 1) × (1, 2)4:
AR part = 1 parameter
MA part = 1 parameter
Seasonal AR part = 1 parameter
Total parameters = 1 + 1 + 1 = 3
(d) ARIMA(2, 2, 3):
AR part = 2 parameters
MA part = 3 parameters
Total parameters = 2 + 3 = 5
So, the model with the largest number of parameters, excluding the intercept and white noise variance, is (d) ARIMA(2, 2, 3) with 5 parameters.
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Find x. I need it ASAP
Answer:
x = 27°
Step-by-step explanation:
Because of the two parallel lines, we can conclude that
corner DAB = corner FDE = 2x
In ∆DAB
Corner DAB = 2x
Corner BDA = 2x (given)
Corner ABD = 72 (given)
The sum of three corners in any trianle, adds up to 180°.
So if one corner is 72° and the other two corners are the same, then the two corners together, must be 180-72 = 108°.
For each corner that is 108/2= 54
so corner BDA = 54° and also corner DAB = 54°.
Given was BDA = 2x and BDA = 54°
so 2x = 54°
then x = 27°
Davis digs a hole at a rate of 3/4 feet every 10 minutes. After digging for 40 minutes, Davis places a bush in the hole that fills exactly 7/8 feet of the hole.
Relative to ground level, what is the elevation of the hole after placing the bush in the hole?
Enter your answer as a simplified fraction. NOT MIXED NUMBER
The elevation of the hole after placing the bush in the hole is 17/8 feet
How calculate the elevation of the hole after placing the bush in the hole?
Given: Davis digs a hole at a rate of 3/4 feet every 10 minutes
After digging for 40 minutes, Davis places a bush in the hole that fills exactly 7/8 feet of the hole
This involves subtraction and multiplication of fractions
Since the rate of digging = 3/4 feet every 10 minutes
Thus, after digging for 40 minutes, the depth will be:
3/4 × 4 = 3 feet
If Davis places a bush in the hole that fills exactly 7/8 feet of the hole, the remaining depth or elevation will be:
3 feet - 7/8 feet = 17/8 feet
Therefore, after placing the bush in the hole, the elevation of the hole is 17/8 feet
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sam rolls 3 standard fair dice. that probability that the three numbers rolled on the dice are the sides of a triangle is , where are relatively prime positive integers. what is the value of ?
The required probability for three numbers rolled on the dice are the sides of a triangle is 31/36.
What is probability?The area of mathematics known as probability studies potential outcomes of events as well as their relative probabilities and distributions. It is based on the likelihood that something will occur. The justification for probability serves as the main foundation for theoretical probability.
Here,
When three dice are rolled, there are 63=216 possible outcomes, or triplets (x, y, z).
Once more, in a triangle, any two sides added together are larger than the third side, or (x+y)>z.
As a result, 186 outcomes or triplets are possible and satisfy this property.
Hence, the required probability is 186/216=31/36.
The required probability is 31/36 for three dice rolls to produce triangle sides.
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Determine between which consecutive integers the real zeros of f(x)= x³ - 2 are located.
a. between 1&2
C.
between 0&1
b. between-1&0
d. between -2&-1
Please select the best answer from the choices provided
Ο Α
B
C
OD
Answer:
the answer is (d) between -2 and -1.
Step-by-step explanation:
To find the real zeros of f(x) = x³ - 2, we need to solve the equation f(x) = 0.
x³ - 2 = 0
x³ = 2
Taking the cube root of both sides, we get:
x = ∛2
Since ∛2 is irrational, it cannot be written exactly as a fraction or decimal. However, we can approximate it to any desired degree of accuracy using numerical methods.
Since ∛2 is positive, it follows that the real zeros of f(x) are located between -2 and -1, since f(x) is negative for x < -2, and f(x) is positive for x > -1. Therefore, the answer is (d) between -2 and -1.
At a craft store, 20 yards of ribbon cost $24, if the cost is 0. 83 per yard how many will it cost per foot and inch
Converting feet to inches solve the problem, first we have to convert 20 yards to feet and inches and then calculate the cost per foot and inch. Here are the steps:1 yard = 3 feet (since 1 yard equals 3 feet)20 yards = 20 × 3 = 60 feet (converting yards to feet)1 foot = 12 inches (since 1 foot equals 12 inches)60 feet = 60 × 12 = 720 inches
The total cost of 20 yards of ribbon is $24. Therefore, cost per yard = $24/20 = $1.2We are given that the cost per yard is $0.83. Therefore, we can write:$1.2 = $0.83 × x where x is the cost per foot and inch. To solve for x, we can divide both sides by $0.83:$1.2/$0.83 = xor1.44 = x We can conclude that it will cost $1.44 per foot and inch of the ribbon.
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Can someone help me with this. Please I beg you.
Answer:
180 cm
Step-by-step explanation:
2 A bag contains & blacks balls and 5 yellow balls, 2 balls are taken at random one after the other without replacement find-the probability that they are both black they fare both yellow & the first as yellow - and the second is black one is yellow the other is black they are of the same colour
The probability values are calculated and listed below
Finding the probabilitiesThey are both black
Here, we have
Black = 3
Yellow = 5
Sice the balls are not replaced, we have
P(Both black) = 3/8 * 2/7
P(Both black) = 3/28
They are both yellow
Sice the balls are not replaced, we have
P(Both Yellow) = 5/8 * 4/7
P(Both Yellow) = 5/14
The first is yellow and the second is black
Sice the balls are not replaced, we have
P(Yellow and black) = 5/8 * 2/7
P(Both Yellow) = 5/28
One is yellow the other is black
Sice the balls are not replaced, we have
P(One Yellow and One black) = 5/8 * 2/7 * 2
P(One Yellow and One black) = 5/14
They are of the same colour
Here, we have
P(Same) = 3/28 + 5/14
P(Same) = 13/28
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