Step-by-step explanation:
rolling the die twice as one event we get 6×6 = 36 possible outcomes.
rolling an even number on the first try gives us 3 desired outcomes (2, 4, 6).
rolling it a second time gives us again 3 desired outcomes.
in total we have
3×3 = 9 such outcomes with 2 even numbers.
the probability for that is then
9/36 = 1/4 = 0.25
FYI - we have also 9 possible outcomes for the first roll being odd and the second being even, 9 possible outcomes for the first being even and the second being odd, and 9 possible outcomes for both being odd.
together with the 9 for both being even we get the full 36 possible outcomes. no other event is possible.
Please help me with this question if you can
Step-by-step explanation:
the 3rd angle = 4x+17 because of vertical angles
4x+17 + x+23 + 80 = 180 sum of interior angles of a triangle
5x +40 = 100
5x = 60
x = 12
angle A = x + 23 = 12 +23 = 35
29. the appraised values of three recently sold houses in the columbus area are (in thousands of dollars) 160, 215, and 195. the standard error of the mean of these three appraised values is\
The appraised values of three recently sold houses in the Columbus area are (in thousands of dollars) 160, 215, and 195. the standard error of the mean of these three appraised values is 22.73
How to find the standard error
The mean of the numbers in thousands of dollars is
= (160 + 215 + 195) / 3
= 190
the sum of squares is calculated
= (160 - 190)² + (215 - 190)² + (195 - 190)²
= 1550
the standard deviation which is square root of sum of squares
= √1550
= 39.37
standard error calculation
= standard deviation / √n
= √1550 / √3
= 22.73
The standard error is 22.73
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4. Emily, Ashley and Peter can clean a warehouse in 2 hours. If Emily does the job alone, she can finish it in 6 hours. If Ashley does the job alone she can finish it in 8 hours.
How long will it take for Peter to finish the job alone?
How long will it take for Emily and Peter to finish the job together.
According to the unitary method,
A) The time taken for Peter to finish the job alone is 4 hours, 48 minutes.
B) The time taken for Emily and Peter to finish the job together is 2 hours, 36 minutes.
Unitary method:
In math, unitary method refers the process of finding the value of a single unit, and based on this value.
Given,
Emily, Ashley and Peter can clean a warehouse in 2 hours. If Emily does the job alone, she can finish it in 6 hours. If Ashley does the job alone she can finish it in 8 hours.
Here we need to find the following:
A) The time take for Peter to finish the job alone
B) The time taken for Emily and Peter to finish the job together
Let us consider x be the time taken for Peter to finish the job alone.
So, based on the given question we can write it as,
=> 1/6 + 1/8 + 1/x = 1/2
=> (8 + 6)/48 + 1/x = 1/2
=> 14/48 + 1/x = 1/2
=> 7/24 + 1/x = 1/2
=> 1/x = 1/2 - 7/24
=> 1/x = 12 -7/24
=> 1/x = 5/24
=> x = 24/5
=> x = 4.8
So, the time taken for Peter to finish the job alone is 4 hours, 48 minutes.
Then the time taken for Emily and Peter to finish the job together is calculated as,
=> 5/24 + 1/6
=> 5 + 4/ 24
=> 9/24
=> 3/8
Therefore, the time taken for Emily and Peter to finish the job together 2 hours, 36 minutes.
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PLEASE HELP!!! Ill give brainless.
Explain the relevance of the instructor's questions. Emil is nine years old. He likes singing and listening to music. His parents are considering enrolling him in an orchestra camp for 9-12 year old children. The instructor asks many questions to assess Emil's readiness. He is concerned when he hears Emil is still dog paddling after taking swimming lessons, but is glad to hear that Emil enjoys taking voice lessons and that he responds well when his teacher corrects his spelling.
Answer:
The instructor is trying to help Emil approach questions in a better way, and he also corrects his spellings so he then later knows how to do the spelling. The questions help him to think, and the more questions the more answer, better answers.
y=3/4x -1 find the slope and the y intercept PLEASE ALOT OF POINTS
Answer:
slope 3/4
y intercept -1
Step-by-step explanation:
y=mx+b
m=slope
b=y intercept
Answer:
Slope-3/4
Intercept-(0,-1)
Step-by-step explanation:
Find u. v.
U V=
(8, 2)
= (-6, 3)
U =
V =
Answer:
-42
Step-by-step explanation:
Assuming you want the dot product,
(8)(-6)+(2)(3)= -42
What are the coordinates of the vertex of the graph or table? Is it a maximum or minimum? (1,2) minimum (2,1) maximum (1,2) maximum (2,1) minimum
Answer: wheres the graph lol i need to see it to answer
Step-by-step explanation: does not have a graaph
coach Emanuel is trying to lose weight. the stars 2017 weighing 296 pounds. if he plans to burn enough calories to lose 3 pounds per week, then how many weeks will pass before Couch Emanuel is at most 251 pounds
Thank you to whoever answers this :)
Answer:
13 weeks because he loses 3 pounds per week
Step-by-step explanation:
269-251=39
39 divided by 3 = 13
13 weeks is your answer!
please mark brainliest please!!!
Hi can any one teach me this constant difference
The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).
How do you find the constant difference in a sequence of numbers?In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.
Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.
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Carlos had $400. He decided to spent 40% of it on clothes, and 50% of the remaining money on video games. How much money did Carlos spend? How much does Carlos have left?
Answer:
Step-by-step explanation:
We can start by finding how much money Carlos spent on clothes. To do this, we simply multiply the original amount of $400 by 40%:
Clothes = $400 * 40% = $400 * 0.40 = $160
Next, we find how much money Carlos has left after spending on clothes. To do this, we subtract the amount spent on clothes from the original amount:
Remaining Money = $400 - $160 = $240
Finally, we find how much money Carlos spent on video games. To do this, we multiply the remaining money by 50%:
Video Games = $240 * 50% = $240 * 0.50 = $120
So, in total, Carlos spent $160 on clothes and $120 on video games, for a total of $160 + $120 = $280.
And Carlos has $400 - $280 = $120 left.
After spending 40% of the $400 on clothes, Carlos has $400 x (100 - 40) / 100 = $240 left.
Next, he spent 50% of the remaining $240 on video games, which is $240 x 50 / 100 = $120.
Therefore, Carlos spent a total of $400 - $240 = $160.
Finally, Carlos has $240 - $120 = $120 left.
Pls answer this. I need the answer quick. Just write the answer. no downloads
Answer:
POINTS HA
Step-by-step explanation:
What are the intercepts of the following
equation?
3x - 6y = -12
Answer:
x-intercept will be: (-4, 0)y-intercept will be: (0, 2)Step-by-step explanation:
Given the equation
\(3x\:-\:6y\:=\:-12\)
We know that x-intercept is obtained when we put y = 0,
so
\(3x\:-\:6y\:=\:-12\)
3x - 6(0) = -12
3x = -12
x = -4
Therefore, x-intercept will be: (-4, 0)
We know that y-intercept is obtained when we put x = 0,
\(3x\:-\:6y\:=\:-12\)
3(0) - 6y = -12
-6y = -12
y = 2
Therefore, y-intercept will be: (0, 2)
Placing a red rose bush, a yellow
rose bush, a white rose bush, and a
pink rose bush in a row in a planter.
Answer:
4P1 = 24. 4D. 120-120-14,400.
Step-by-step explanation:
Perm. 4! = 24.
The situation involved is permutation and the number of possibilities is 24.
What is Permutation?Permutation is defined as the calculation of a set such that it defines the number of ways that something can be arranged.
Given situation is that placing a red rose bush, a yellow rose bush, a white rose bush, and a pink rose bush in a row in a planter.
In permutation, order of the arrangement matters.
In combination, order of the arrangement does not matter.
Here, the order of the arrangement of bush matters.
So it is a permutation.
Number of possibilities = ⁴P₄
= (4!) / (4 - 4)!
= 24 / 1
= 24
Hence the number of possibilities is 24.
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Your question is incomplete. The complete question is as follows.
Determine whether the situation involves a permutation or combination. Then find the number of possibilities.
Placing a red rose bush, a yellow rose bush, a white rose bush, and a pink rose bush in a row in a planter.
Is this statement true or false? Explain your reasoning. "16% of 250 is equal to 250% of 16."
9514 1404 393
Answer:
True
Step-by-step explanation:
The statement is an example of the use of the commutative and associative properties of multiplication. It is True.
16% × 250
= 16/100 × 250 = (16)(1/100)(250)
= (16)(250)(1/100) = (16)(250/100) = (16)(250%)
= 250% × 16
Answer:
true
Step-by-step explanation:
Need help on this question pls help!!!!!!!
In each blank below a single digit is inserted such that the following six three-digit numbers, in this order, form an arithmetic sequence: 1_ _, _ _ 9, 2 _ 2, _ 6 _, 2 _ _, _ 3 _What is the value of the next number in the sequence?
The series appears to be 166, 199, 232, 265, 298, 331
With examples, define sequence?
A list of numbers in a certain order is known as a sequence. A term is the name given to each number in a sequence.
In a series, each term has a place (first, second, third and so on). Take the sequence 5, 15, 25, 35, as an example. Each number is referred to as a word in the sequence.
The last number of the common difference must end in 3
And this must be a 2 digit number
So....the first number must end in 6
The the 4th number must be 265
So..... the 5th number must end in 8
And the last digit of the last term must end in 1 [ and begin with 3 ]
Putting all this together we have that
265 + 2d = 331
2d = 66 ⇒ d = 33
So the first term must be 265 - 3 (66) = 166
the series appears to be 166, 199, 232, 265, 298, 331
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A plane leaves an airport at noon flying due south at 900 km/h. That same day, another plane is flying due east toward the
airport at 600 km/h.
If the incoming plane is 2000 km away from the airport at 4 pm, what is the rate of change of the distance between the planes?
The rate of change of the Distance between the planes is zero. This means that the distance between the planes remains constant throughout their respective flights.
The rate of change of the distance between the planes, we need to determine how the distance between them changes over time.
the distance between the two planes is represented by the variable D, and time is represented by the variable t.
At noon, the southbound plane starts flying and continues for 4 hours until 4 pm. During this time, the plane covers a distance of 900 km/h * 4 hours = 3600 km due south.
Meanwhile, the eastbound plane is also traveling towards the airport. It starts from a distance of 2000 km away from the airport at 4 pm.
To find the distance between the planes at any given time, we can use the Pythagorean theorem, as the planes are moving at right angles to each other. The distance D between the planes can be calculated as:
D^2 = (2000 km)^2 + (3600 km)^2
Simplifying the equation:
D^2 = 4000000 km^2 + 12960000 km^2
D^2 = 16960000 km^2
Taking the square root of both sides:
D = sqrt(16960000) km
D = 4120 km
Now, we can find the rate of change of the distance between the planes by calculating the derivative of the distance equation with respect to time
dD/dt = 0
Since the distance between the planes is constant, the rate of change is zero.
Therefore, the rate of change of the distance between the planes is zero. This means that the distance between the planes remains constant throughout their respective flights.
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Apply the distributive property to factor out the greatest common factor of all three terms. {10a - 25 + 5b} =10a−25+5b =
Answer:
5(2a -5 + b)
Step-by-step explanation:
(10a - 25 + 5b) = 5( 2a - 5 + b)
5(b + 2a - 5) = 5(2a - 5 + b)
Answer:
5(2a -5 + b)
Step-by-step explanation:
What is 10 x4 ten thousand
Answer:
400,000
Step-by-step explanation:
➟ 10 × 4 ten thousand
Since, a ten thousand = 10,000 therefore 4 ten thousand = 40,000
➟ 10 × 40,000
➟ 400,000
Find positive integers that satisfy
9514 1404 393
Answer:
(x, y, z) = (1, 2, 3)
Step-by-step explanation:
The equations that result from reduction to row-echelon form are ...
x = 0.4 +0.2t
y = 5.6 -1.2t
z = t
Then t must have a value 5n+3 for 0 ≤ n < 1. That is, t=3.
x = 0.4 +0.2(3) = 1
y = 5.6 -1.2(3) = 2
z = 3
The integers that satisfy are (x, y, z) = (1, 2, 3).
Find positive integers that satisfy
\(\huge\star{\underline{\mathtt{\red{A}\pink{N}\green{S}\blue{W}\purple{E}\orange{R}}}}\star\)
(x, y, 2) = (1, 2, 3)
Step-by-step explanation:
The equations that result from reduction
to row-echelon form are ..
x = 0.4 +0.2t
y= 5.6-1.2t
Z =t
Then t must have a value 5nt3 for 0 S n<
1. That is, t=3.
x = 0.4 +0.2(3) = 1
y= 5.6 -1.2(3) = 2
Z =3
The integers that satisfy are (x, y, z) = (1,
The integers that satisfy are (x, y, z) = (1,2, 3).
2/125x10,13+2/27x10,13
The value of the expression 2/125x1013 + 2/27x1013 is 91.248.
How to illustrate the expression?It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.
The expression will be Illustrated as:
2/125x1013 + 2/27x1013
= (0.016 × 1013) + (0.0740741 × 1013)
= 16.208 + 75.04
= 91.248
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Complete question
2/125x1013 + 2/27x1013
What’s the correct answer to 9(7+x)=100?
Answer:
x=4.1111
Step-by-step explanation:
9x11.1111=100
7+4.111=11.1111
For the function \(g(x)=\frac{-28}{2^{5x+5} }+7\)
a) State the parent function in the form and express the function in the form
α ·\((B^{k(x-d)})+c\)
b) State the transformations of g(x) in proper order from the parent function.
c) Express the function in the form \(y = ab^{x} +c\)
d) Determine the any asymptotes and state whether the function is an example of exponential growth or decay
e) Determine the domain and range of the function.
f) Calculate the x-intercept and y-intercept, then sketch the function.
The solutions to the questions are:
The equation of the function is g(x) = -7/8(2^-5x) + 7The domain is -∝ < x < ∝ while the range is y < 7The horizontal asymptote is y = 7 and the function is an example of exponential decayThe y-intercept is 49/8 while the x-intercept is -0.6State the parent function in the form and express the function in the formThe function is an exponential function.
So, the parent function has the form
y = ab^x
Using the function in (a), the parent function is: y = -7/8 * 2^x and the form of the function is g(x) = -7/8(2^-5x) + 7
The transformationFirst, the function is horizontally stretched by -5
This gives
g(x) = -7/8(2^-5x)
First, the function is shifted up by 7 units
This gives
g(x) = -7/8(2^-5x) + 7
Express the function in the form y = ab^x + cThe equation of the function is given as:
g(x) = -28/[2^(5x + 5)] + 7
Rewrite the equation as follows:
g(x) = -28/[2^(5x) * 2^5] + 7
Evaluate the exponent
g(x) = -28/[2^(5x) * 32] + 7
Divide
g(x) = -7/[2^(5x) * 8] + 7
Rewrite as:
g(x) = -7/[8 * 2^(5x)] + 7
Further, rewrite as:
g(x) = -7/8 * 2^(-5x) + 7
Rewrite properly as:
Determine any asymptotes and state whether the function is an example of exponential growth or decayWe have:
g(x) = -7/8 * 2^(-5x) + 7
Set the radical to 0
g(x) = 0 + 7
Evaluate
g(x) = 7
This represents the horizontal asymptote (it has no vertical asymptote)
Hence, the horizontal asymptote is y = 7 and the function is an example of exponential decay
Determine the domain and range of the function.The function can take any input
So, the domain is -∝ < x < ∝
We have the horizontal asymptote to be
y = 7
The function cannot equal or exceed this value.
So, the range is y < 7
Calculate the x-intercept and y-intercept, then sketch the function.Set x = 0
g(0) = -7/8 * 2^(-5 * 0) + 7
This gives
g(0) = -7/8 * 2^(0) + 7
Evaluate the exponent
g(0) = -7/8 + 7
Evaluate the sum
g(0) = 49/8
So, the y-intercept is 49/8
Set g(x) = 0
0 = -7/8 * 2^(-5x) + 7
This gives
-7 = -7/8 * 2^(-5x)
Divide by -7
1 = 1/8 * 2^(-5x)
Multiply by 8
8 = 2^(-5x)
Solve for x
x = -0.6
So, the x-intercept is -0.6
See attachment for the sketch
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How will the mode be affected if the outlier is removed from the data set below? 58, 60, 53, 54, 60, 35, 58, 60
will the mode decrease?
will the mode not change?
is there not enough information?
will the mode increase?
The mode will not change.
Given data,
58,60,53,54,60,35,58,60
Outlier is the value in a set of data that much higher or lower than other values in data.
from given data, outlier is 35.
Mode is the value in a set of data that occurs more frequently in set of data.
from given data, 60 occurs more frequently.
Hence, 60 is the mode of data.
If outlier is removed from the data set then it will not affect the mode of the data
Thus, the mode will not change.
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find the mean of brothers and sisters
The mean of brothers and sisters = 3
From the attached data set of brothers and sisters we can write the data values (frequency) as:
1, 5, 4, 2
We need to find the mean of brothers and sisters,
We know that the formula for the mean of data.
mean(\(\bar{x}\)) = sum of all data values / total number of data values
First we find the sum of all data values.
1 + 5 + 4 + 2 = 12
and the total number of data values = 4
Using above formula of mean,
mean(\(\bar{x}\)) = sum of all data values / total number of data values
mean(\(\bar{x}\)) = 12 / 4
mean(\(\bar{x}\)) = 3
Therefore, the required mean is: 3
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Find the complete question below.
Hector originally had $60 in his bank account after buying some books Hector now has 3/10 of the original how much does Hector now have in his bank account
Answer:
He had $18 in his bank after buying books.
Step-by-step explanation:
First, you divide 60 by 10. (The original by the denominator).
60 ÷ 10 = 6
Next, you multiply 6 by 3. (Your quotient by the numerator).
6 x 3 = 18
He had $18 in his bank after buying books.
Find the interquartile range
Therefore, the interquartile range for the given data set is 27.5.
What is interquartile range?The interquartile range (IQR) is a measure of variability or spread of a set of data. It is calculated as the difference between the upper quartile (Q3) and the lower quartile (Q1) of a dataset. The quartiles divide the dataset into four equal parts, with each part containing an equal number of data points. The lower quartile (Q1) is the median of the lower half of the dataset, and the upper quartile (Q3) is the median of the upper half of the dataset.
Here,
To find the interquartile range (IQR), we first need to find the median of the data set. The median is the middle value when the data set is arranged in order. To arrange the data set in order, we have:
6, 12, 14, 15, 15, 20, 35, 48, 87
The median is the middle value, which is 15.
Next, we need to find the median of the lower half of the data set (also called the first quartile or Q1). To do this, we take the median of the values below 15:
6, 12, 14, 15, 15
The median of this set is 14.
Similarly, we need to find the median of the upper half of the data set (also called the third quartile or Q3). To do this, we take the median of the values above 15:
20, 35, 48, 87
The median of this set is (35+48)/2 = 41.5.
Finally, the interquartile range is the difference between Q3 and Q1:
IQR = Q3 - Q1
= 41.5 - 14
= 27.5
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The graph below shows the graphs of the linear function Y = 7x and the exponential function y=7%.
Which statement is true?
1. The growth rate of the exponential function exceeds the growth rate of the linear function for -1sx53.
2. The growth rate of the exponential function exceeds the growth rate of the linear function for 0≤x≤3.
3. The growth rate of the exponential function exceeds the growth rate of the linear function for-15xs1.
4. The growth rate of the exponential function exceeds the growth rate of the linear function for 1sxs 3.
Answer:
The growth rate of the exponential function exceeds the growth rate of the linear function for 1 > x > 3
Step-by-step explanation:
edg2020 thank me latter
The growth rate of the exponential function exceeds the growth rate of the linear function for 1 ≤ x ≤ 3.
We have,
The graph of the linear function y = 7x is a straight line with a constant slope of 7, while the graph of the exponential function y = 7% is an increasing curve that starts at y = 1 and approaches y = infinity as x increases.
To compare the growth rates of the two functions, we can look at their derivatives.
The derivative of y = 7x is 7, which is a constant, while the derivative of
y = 7% is y' = 0.07y, which is proportional to y.
Now,
For x < 0, the growth rate of the linear function y = 7x exceeds the growth rate of the exponential function y = 7%.
This eliminates options 1 and 3.
For x > 0, the growth rate of the exponential function y = 7% exceeds the growth rate of the linear function y = 7x, since the derivative of the exponential function is proportional to the function itself.
This eliminates option 2.
Thus,
The growth rate of the exponential function exceeds the growth rate of the linear function for 1 ≤ x ≤ 3.
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Consider this equation.sin(e)3/1010If 8 is an angle in quadrant Il, what is the value of tan(®)?
Given,
The equation is,
\(sin\theta=\frac{3\sqrt{10}}{10}\)Required
The value of tan theta.
The value of cos theta is,
\(\begin{gathered} cos\theta=\sqrt{1-(\frac{3\sqrt{10}}{10}})^2 \\ =\sqrt{1-\frac{90}{100}} \\ =\sqrt{\frac{10}{100}} \\ =-\frac{\sqrt{10}}{10} \end{gathered}\)The value of tan theta is,
\(\begin{gathered} tan\theta=\frac{sin\theta}{cos\theta} \\ =\frac{3\sqrt{10}}{10}\times\frac{-10}{\sqrt{10}} \\ =-3 \end{gathered}\)Hence, the value of tan theta is -3.
Veronica wants to cut a sheet of paper into squares with an area of 12 square inches. For the best approximation, the length of each side
of the square pieces of paper must be approximately equal to_____inches. If each side were exactly this length, the area of each
square would be_____
square inches.
Answer:
the first one is 48 i will have to do more solving for it but when i do i will edit my answer
Step-by-step explanation:
Answer:
second answer would be 11.9716
Step-by-step explanation: