Answer:
3 3/13 hours
Step-by-step explanation:
you will first find out how many hours it will take for each gardener to do 1 part of the job. gardener 1 is 1/6 and the second is 1/7. you will next add the two fractions. this will equal 13/42. you will then multiply by the reciprocal to get 1, this stands for the whole job done together. The reciprocal is the answer, 42/13. You will then simplify that to 3 3/13 hours.
Triangle ABC with points A (9,1) B (2,7) C(-2,-5) was translated 3 units left, 2 units down and then was reflected across the line y = x. What is the image point of C?
The point of C is, (- 7, - 5).
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Triangle ABC with points A (9,1) B (2,7) C(-2,-5) was translated 3 units left, 2 units down and then was reflected across the line y = x.
Now, Triangle ABC with points A (9,1) B (2,7) C(-2,-5) was translated 3 units left, 2 units down.
Hence, The point of C is,
⇒ C = (- 2, -5) + (- 3, - 2)
⇒ C = (- 5, - 7)
Since, It was reflected across the line y = x.
Hence, The point of C is,
⇒ C = (- 7, - 5)
Thus, The point of C is, (- 7, - 5).
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A savings account gathers compound interest at a rate of 7% per annum. The amount of money in the account over the first two years is shown below. Copy and complete the expression below for the amount of money in the account after n years
The equation that gives the balance of the account after n years is given as follows:
[tex]A(t) = P(1.07)^t[/tex]
In which P is the initial amount in the account.
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
In which:
P is the principal, which is the value of deposit/loan/....r is the interest rate, as a decimal value.n is the number of times that interest is compounded per year, annually n = 1, semi-annually n = 2, quarterly n = 4, monthly n = 12.The parameters for the function in thisp roblem are given as follows:
r = 0.07, n = 1.
Hence the function is given as follows:
[tex]A(t) = P(1.07)^t[/tex]
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Find the midpoint between (9, -1) and (1, 15).
The midpoint between the endpoints (9, -1) and (1, 15) is equal to (5, 7).
How to determine the midpoint of a line segment?In order to determine the midpoint of a line segment with two (2) endpoints, we would add each point together and divide by two (2).
Midpoint = [(x₁ + x₂)/2, (y₁ + y₂)/2]
Substituting the given parameters into the midpoint of a line segment formula, we have the following;
Midpoint = [(x₁ + x₂)/2, (y₁ + y₂)/2]
Midpoint = [(9 + 1)/2, ((-1) + 15)/2]
Midpoint = [(10)/2, (14)/2]
Midpoint = (5, 7).
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The speed of sound is 3.43 x 10² meters per second. How far does sound travel in 3.3 x 10-5 second? Write your answer in
scientific notation. Round to the nearest hundredth, if necessary.
Distance: meters
The distance will be 1.1319 × 10⁻¹ meters .
Speed of the sound = 3.43 x 10² meters per second
Time to calculate the distance traveled = 3.3 x 10-5 seconds
Since,
Distance = Speed x Time
Using the values we get:
Distance = 3.43 x 10² * 3.3 x 10-5
Distance = 11.319 × 10⁻³ meters
Since the calculators show the final answer is scientific notation, the above answer in scientific notation would be:
Distance = 1.1319 × 10⁻¹ meters
Hence , the distance will be 1.1319 × 10⁻¹ meters .
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hank owns a fruit stall he sells 11 apple and 5 oranges for 2.71. one apple costs 16p how much does one orange cost?
Answer:
11*0.16=1.76
2.71-1.76=0.95
0.95/5=0.19
One orange costs 0.19
Step-by-step explanation:
find the number of ways the digits 0,1,2 and 3 can be permuted to give rise to a number greater than 2000
The number of ways the digits 0,1,2 and 3 can be permuted to give rise to a number greater than 2000 is 9.
What is permutation?A permutation is a word that describes the number of ways things can be ordered or arranged.
Given are numbers, 0,1, 2, 3
We asked for numbers greater than 2000, so those numbers will start either from 2 or 3.
2 _ _ _ = 3! = 6
3 _ _ _ = 3!/2! = 3
Hence, total possible ways are 6+3 = 9
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Find the missing dimension. Use the scale 2: 5.
2:5
L
Model
Actual
2. Depth: 10 km
3. Length: 5 in.
Depth: _5 km
Length: in.
4. Length:
ft
Length: 24 ft
5. Diameter:
m
Diameter: 32. 5 m
The model on the fifth row has a diameter of 32.5 meters, hence the actual diameter is 32.55 = <<32.55=162.5>>162.5 meters.
What are dimensions?The minimal number of coordinates required to specify each point within a mathematical space (or object) is known as the dimension in physics and mathematics.
Because only one coordinate is required to identify a point on a line, such as a point at 5 on a number line, a line is said to have one dimension (1D).
Because two coordinates are necessary to identify a point on a surface, such as the perimeter of a sphere or cylinder, it is referred to as having a dimension of two (2D).
For instance, a point on the surface of a sphere requires both a latitude and a longitude to be located.
So, we can use a scale of 2:5 as a conversion factor to identify the table's missing dimensions.
For instance, the model's length in the second row is 2 inches, but the real length is 5 inches.
This implies that the model's 1 inch corresponds to the actual object's 5 inches.
The actual depth is 10 5 = 50 km because the model's depth is 10 km.
Since the model's length is not specified in the fourth row, we are unable to determine its true length.
Therefore, the model on the fifth row has a diameter of 32.5 meters, hence the actual diameter is 32.55 = <<32.55=162.5>>162.5 meters.
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Correct question:
Find the missing dimension. use the scale 2: 5.
2:5
l
model
actual
2. depth: 10 km
3. length: 5 in.
depth: _5 km
length: in.
4. length:
ft
length: 24 ft
5. diameter:
m
diameter: 32.5 m
Solve for x. Enter the solutions from least to greatest.
3x²+36x + 81 = 0
lesser x =
greater x =
Answer:
Step-by-step explanation:
Simplify.
x^2 + 12x + 27
Factor.
(x + 9)(x + 3)
Solutions.
x = -9
x=-3
Answer:
x=-3 or x=-9
Step-by-step explanation:
No need to explain
a quiz consists of 10 multiple-choice questions, each with 6 possible answers. for someone who makes random guesses for all of the answers, find the probability of passing if the minimum passing grade is 50 %.
The probability of passing a 10-question multiple-choice quiz by random guessing is about 2.4%.
How to find the probabilityA quiz consists of 10 multiple-choice questions, each with 6 possible answers. for someone who makes random guesses for all of the answers, find the probability of passing if the minimum passing grade is 50 %.
The probability of a random guess being correct for a single multiple-choice question with 6 options is 1/6, or approximately 0.17.
To find the probability of passing the quiz with a minimum passing grade of 50%, we need to calculate the probability of getting 5 or more correct answers out of 10.
This can be calculated as the sum of the probabilities of getting exactly 5, 6, 7, 8, 9, or 10 correct answers:
P(pass) = P(5) + P(6) + P(7) + P(8) + P(9) + P(10)
where P(x) is the probability of getting exactly x correct answers.
This can be calculated using the binomial distribution and its cumulative distribution function (CDF). The result is approximately 0.024, or 2.4%.
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Please help me, thank you
Answer:
548km^2
Explanation:
if the surface area is 137 km, and then it has a dialation of 4, then all you need to do is multiply by 137 by 4, which equals 548. That means the surface area of cylinder B is 548 km^2. Hope that helps.
how many integers are between the square root of 7 and square root of 200
Answer:
12
Step-by-step explanation:
√7 =2.65
√200 = 14.14
so 3,4,5,6,7,8,9,10,11,12,13,14
identify the circumstances in which the median rather than the mean is the preferred measure of central tendency. check all that apply.
The circumstances in which the median rather than the mean is the preferred measure of central tendency is when there is a skewed distribution (a few extreme scores), an open-ended distribution or undetermined scores.
What is central tendency?Central tendency is defined as the summative measure that tries to describe the entire set of data with a single value representing the mean or center of the distribution.
A skewed distribution occurs when one tail is longer than the other.
Therefore, in this type of distribution, the median should be chosen as the preferred measure of central tendency.
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Translate the following phrases into expressions. Algebraic word problems
60 kilometres per x litres
60 kilometres per x litres can be expressed algebraically as 60/x km/L.
What is algebra?Algebra is a branch of mathematics that is used to manipulate symbols and equation in order to solve the problems algebra help to solve problems involving unknown quantities into the block relationship between different variable it is a powerful tool that can be used to solve the and analyze a variety of mathematical problem and equation.
This can be used to represent the relationship between the number of kilometres travelled and the number of litres of fuel that was used. For example, if a car travelled 240 kilometres using 4 litres of fuel, the expression would be 60/4 km/L, which would equal 15 km/L.
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santa clara county, ca, has approximately 27,873 japanese-americans. what percentage of the community is under age 35?
The percentage of Japanese-Americans under 35 in Santa Clara County, CA is approximately 11.3%.
Santa Clara County, CA is home to approximately 27,873 Japanese-Americans. To determine what percentage of this population is under age 35, it is necessary to first calculate the total number of Japanese-Americans under 35. To do this, we can subtract the estimated number of Japanese-Americans over age 35 from the total population of Japanese-Americans. We can then divide this number by the total population of Japanese-Americans to find the percentage of Japanese-Americans under age 35. In Santa Clara County, CA, the estimated number of Japanese-Americans over age 35 is 24,672, and the total population of Japanese-Americans is 27,873. Subtracting 24,672 from 27,873 yields 3,201 Japanese-Americans under age 35. We can then divide 3,201 by 27,873 to get a percentage of 11.3%. Therefore, approximately 11.3% of the Japanese-American population in Santa Clara County, CA is under age 35.
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Manjit bought a house. The value of her house went up by 5% in the first year. In the second year, the value went up by 2%. At the end of the two years her house was worth £171360.
What was the total percentage increase?
Work out the amount Manjit paid for her house
Answer:
The percentage increase is 7%.
She paid £160150 for her house.
Step-by-step explanation:
first year : increase 5%
second year : increase 2%
after 2 years : £171360
100%+5%+2%= 107%
107%= £171360
1%= £171360÷107
= £1601.5 (to 5 s.f.)
100%= £1601.5×100
= £160150
Helen and Reid are walking to their classes at Cedarburg College. Helen comes from her dorm room, walking at a speed of 4 miles per hour down a straight path. Reid comes from the gymnasium on the other end of campus, moving up the same path at 3 miles per hour. If they start out 3 miles apart, how long will it be before they meet?
The time it will take for Helen and Reid to meet is given as follows:
3/7 of an hour = 26 minutes.
What is the relation between velocity, distance and time?Velocity is distance divided by time, hence the following equation is built to model the relationship between these variables:
v = d/t.
The parameters for this problem are given as follows:
Distance of 3 miles.Relative velocity of 7 miles, as they are moving in opposite directions, and 4 + 3 = 7.Hence the time is obtained as follows:
7 = 3/t
7t = 3
t = 3/7 of an hour = 26 minutes.
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use the four-step method in problem solving to solve the problem. city a has an elevation of 13,764 feet above sea level while city b has an elevation of 19,343 feet below sea level. how much higher is city a than city b?
The difference between city a and city b is 33,107 feet, with city a being 33,107 feet higher than city b.
Step 1: Identify the problem.
How much higher is city a than city b?
Step 2: Gather information.
City a has an elevation of 13,764 feet above sea level while city b has an elevation of 19,343 feet below sea level.
Step 3: Analyze the information.
City a is 13,764 feet above sea level, and city b is 19,343 feet below sea level. To find the difference, we need to subtract 19,343 from 13,764.
Step 4: Formulate a solution.
The difference between the two cities is 33,107 feet. City a is 33,107 feet higher than city b.
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you deposit 35000 in an account that pays 2.3% annual interest. find the balance after 6 years compounded quarterly
The value of balance after 6 years compounded quarterly is , $44,450
What is Simple interest?A quick and easy method of calculating the interest charge on a loan is called a Simple interest.
Given that;
You deposit 35000 in an account that pays 2.3% annual interest.
We know that;
Amount = P (1 + r/4)⁴ⁿ
Where, P is the starting amount, r is interest rate and n is time.
Substitute all the value we get;
Amount = P (1 + r/4)⁴ⁿ
Amount = 35000 (1 + 0.023/4)²⁴
Amount = 35000 (4.023/4)²⁴
Amount = 35000 × 1.01²⁴
Amount = 35000 × 1.27
Amount = $44,450
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Find the coordinate of the point P that divides each directed line segment in the given ratio. Round the
coordinate to the nearest tenth if necessary.
from K to L; 1 to 5
The coordinate of point P is
The direction of point P is (2.5, 3.3). In this way, the point P that separates the line fragment from K to L with a 1 to 5 proportion has the coordinate (2.5, 3.3).
Given a line segment from K to L, and the proportion of the division as 1 to 5, we can find the direction of point P that separates the line section into the predetermined proportion.
The direction of point P can be tracked down utilizing the accompanying recipe:
P = (1 - t) K + t L
where t is the relative separation from direct K toward point P. To fulfill the 1 to 5 proportion, we can set t = 1/6.
Subbing the qualities into the equation, we get:
P = (1 - 1/6) K + 1/6 L
= 5/6 K + 1/6 L
To find the genuine direction of point P, we want to substitute the directions of K and L into the equation. For instance, if K = (3, 4) and L = (7, 8), the direction of point P can be determined as:
P = (5/6)(3, 4) + (1/6)(7, 8)
= (15/6, 20/6)
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Ty has a 50% chance of answering a trivia question correctly. He wants to know the probability that he will answer 3 of 4 trivia questions correctly. He flips a coin to conduct the simulation shown below.
HHTH HHIT THHT HHHH THỊT
THHT THHT HITH THIT HHHH
THTT THTT HTHT HHTT THTT
TTHT HHTH THHT HHIT THTH
H represents a correct answer, and T
represents an incorrect answer. Based on this simulation, what is the probability that he answers at least 3 trivia questions correctly?
Answer:
Step-by-step explanation:
Your family drives 126 miles from Key West to the Florida mainland about 15% of this distance is spent on bridges how many miles of the bridges do you come travel over
Answer:
Step-by-step explanation:
The 15% of 126 is 18.96 thus, my family travels 18.96 miles over the bridge.
What is the percentage?
The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.
As per the given,
Total travel = 126
Percentage travel over the bridges = 15% of 126
15% of 126 = (15/100)126 = 18.96 miles
Hence "The 15% of 126 is 18.96 thus, my family travels 18.96 miles over the bridge".
who is correct in each question and fix their statement
In triangle XYZ The image will be in the second quadrant hence Joseph is correct
In the rectangle, the image of A' will be in the quadrant III hence Chad is correct
What is rotation in transformation?Rotation in transformation refers to the process of rotating an object around a fixed point by a certain angle, changing its orientation.
The fixed point is known as the center of rotation, and the angle of rotation determines the extent to which the object is rotated.
In 2D graphics, rotation can be represented by a matrix multiplication,
Inn the triangle rotation, the transformation rule is for 90° clockwise rotation
In the rectangle rotation, this is equivalent to reflection over the line y = x
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5i + 4 = 14 + 4i thanks yall
Answer:
The solution to the equation 5i + 4 = 14 + 4i is i = 10.
Step-by-step explanation:
To solve for i in this equation, isolate the variable (i) on one side of the equation. To do this, we'll subtract 4 from both sides:
5i + 4 - 4 = 14 + 4i - 4
This leaves us with:
5i = 10 + 4i
Next, we'll subtract 4i from both sides:
5i - 4i = 10 + 4i - 4i
This leaves us with:
i = 10.
So the solution to the equation 5i + 4 = 14 + 4i is i = 10.
I need help with this problem
Answer: 33
Step-by-step explanation:
There are lots of things you have to remember in parallel lines with transversal lines (the lines that cut through the parallel lines). In this picture, the angles shown are co-interior angles. Co-interior angles add up to 180°.
Given this, we can make and solve the following equation:
[tex](x + 20) + (4x-5) = 180\\x + 20 + 4x - 5 = 180\\5x + 15 = 180\\5x = 165\\x = 33[/tex]
If there are any steps you don't understand, I can go through it again, so please tell me :)
a mountain is 6,874 feet above sea level whereas a nearby valley is 280 feet below sea level. determine the elevation difference between the height of the mountain and the height of the valley. the difference between the two heights is feet.
The difference in elevation between the height of mountain and height of valley measuring from sea level is equal to 6594 feet.
Since it is given that the height of mountain from the sea level is 6874 feet and the height of valley is 280 feet. Therefore to calculate the difference in elevation, the heights will be subtracted from one another to get a value which will show the elevation. Since both the heights are measured from the sea level which is taken as constant, so no extra calculations will be needed.
Elevation difference = Height of mountain - height of valley
Elevation difference = 6874 - 280 = 6594 feet
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) let x be an exponential random variable. then, its mean and its standard deviation are equal. true or false?
False. The mean and the standard deviation of an exponential random variable are not equal.
An exponential random variable has a probability density function given by:
[tex]$f(x) = \lambda e^{-\lambda x}$ for $x > 0$[/tex]
where[tex]$\lambda > 0$ i[/tex]s the rate parameter.
Mean for exponential random variable:
[tex]$\frac{1}{\lambda}$[/tex]
Standard deviation for exponential random variable:
[tex]$\frac{1}{\lambda}$[/tex]
Thus, the mean and the standard deviation of an exponential random variable are not equal, and they have different values depending on the value of [tex]$\lambda$[/tex]
It is important to note that exponential random variables have a memoryless property, which means that the future behavior of an exponential random variable is independent of its past values. This property makes exponential random variables useful for modeling various real-world phenomena such as the time between failures in reliability engineering or the time between events in a Poisson process.
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a survey of 25 grocery stores revealed that the average price of a gallon of milk was $2.98, with a standard error of $0.10. what is the 98% confidence interval to estimate the true cost of a gallon of milk? $2.85 to $3.11 $2.73 to $3.23 $2.95 to $3.01 $2.94 to $3.02
The 98% confidence interval to estimate the true cost of a gallon of milk is $2.73 to $3.23.
What do you mean by standard error?The standard error is a measure of the variability or spread of a set of sample values. In statistics, the standard error is used to quantify the precision of an estimate of a population parameter, such as the mean or standard deviation. It is calculated as the standard deviation of the sampling distribution of a statistic, usually the mean. The standard error is a useful measure because it provides a way to compare different estimates of a population parameter, and it can be used to construct confidence intervals, which provide a range of values within which the true population parameter is likely to lie with a specified degree of confidence.
The 98% confidence interval to estimate the true cost of a gallon of milk can be calculated using the following formula:
CI = (sample mean) ± (critical value) * (standard error)
Where critical value can be obtained from a standard normal distribution table, corresponding to a given level of confidence.
For 98% confidence, the critical value is 2.33.
CI = $2.98 ± 2.33 * $0.10 = $2.98 ± $0.23 = $2.73 to $3.23
Therefore, the 98% confidence interval to estimate the true cost of a gallon of milk is $2.73 to $3.23
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Aabbccc
I have to rewrite that using exponents
The expressions aaaaaaa, aabbbb, aabbccc, and 3xxyyyz will be a⁷, a²b⁴, a²b²c³, and 3x²y³z.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We know that if x is multiplied by n time of x, then we can be written as xⁿ.
1. aaaaaaa = a⁷
2. aabbbb = a²b⁴
3. aabbccc = a²b²c³
4. 3xxyyyz = 3x²y³z
The expressions aaaaaaa, aabbbb, aabbccc, and 3xxyyyz will be a⁷, a²b⁴, a²b²c³, and 3x²y³z.
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Lucy made 247 for 13 hours of work. At the same rate, how much would she make for 9 hours of work?
Answer: $171
Step-by-step explanation:
$247 divided by 13 hrs = $19/hr
$19/hr times 9 hrs = $171
Create a system of linear and exponential functions that pass through the point 1,12
The system of linear and exponential functions passing through (1,12) is given as follows:
Linear: y = 2x + 10.Exponential: y = 6(2)^x.What is the linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
For the function to pass through point (1,12), we have that when x = 1, y = 12, hence one example of a linear function is given as follows:
y = 2x + 10.
What is the exponential function?An exponential function is defined as follows:
y = a(b)^x.
When x = 1, y = 12, hence one example is given as follows:
y = 6(2)^x.
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