Answer:
47.52
Step-by-step explanation:
What is x and y equal to?
-10x + 4y = -14
7x + 5y = 2
Answer: x =1, y = -1
Step-by-step explanation:
-10x+4y=-14
7x+5y=2
Let's eliminate y.
5(-10x+4y= -14)
4(7x + 5y=2)
[ I multiplied the first equation by the coefficient of y in the second equation and did the same in the second equation].
=> -50x+20y =-70
28x+20y = 8
Notice how the coefficients of y are the same. We can subtract the 2 equations to eliminate y.
Thus,
-78x = -78 ( y has been eliminated)
∴ x=-78/-78 =1.
Put the value of x in any equation to find y.
7x + 5y =2
=> 7(1) + 5y =2
7+5y=2
5y = 2-7
5y = -5
y = -1.
Hope this helps :)
There are many ways to produce crooked dice. To load a die so that 6 comes up too often and 1 (which is opposite 6) comes up too seldom, add a bit of lead to the filling of the spot on the 1 face. Because the spot is solid plastic, this works even with transparent dice. If a die is loaded so that 6 comes up with probability 0.21 and the probabilities of the 2, 3, 4, and 5 faces are not affected, what is the assignment of probabilities to the six faces?
Give your answer to 2 decimal places.
Fill in the blanks:
The probability assigned to: Face with 1 spot is: _Answer 1_ .
The probability assigned to: Face with 2 spots is: _Answer 2_ .
The probability assigned to: Face with 3 spots is: _Answer 3_ .
The probability assigned to: Face with 4 spots is: _Answer 4_ .
The probability assigned to: Face with 5 spots is: _Answer 5_ .
The probability assigned to: Face with 6 spots is: _Answer 6_ .
Answer:
Let p be the probability assigned to faces with 1 to 5 spots (since their probabilities are unaffected) and let x be the probability assigned to the face with 6 spots. Then, we have the equation:
0.21 = x + p
Since the probabilities of all six faces must add up to 1, we also have the equation:
1 = 5p + x
Solving these equations simultaneously, we get:
p = 0.146
x = 0.064
Therefore, the probability assigned to the faces with 1 to 6 spots (in order) are:
0.146, 0.146, 0.146, 0.146, 0.146, and 0.064.
Step-by-step explanation:
the sampling error is: group of answer choices an error that occurs during collection, recording, and tabulation of data the difference between the value of a sample statistic and the value of the corresponding population parameter an error that occurs when a sample of fewer than 30 members is drawn an error that occurs when a sample of 30 or more members is drawn
1.The sampling error is the difference between the values of a sample statistic and the value of the corresponding population parameter.
2.Larger values of the standard deviation result in a normal curve that is wider and flatter.
3.The mean of the sampling distribution of the sample mean is the mean of the means of all possible samples of the same size taken from the population.
4. Same for each interval.
Because each interval having equal length, and probability of selecting any value is (1 / length).
What is sampling error?
The difference between a population parameter and a sample statistic used to estimate it.
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4h + 6 = 30
h =___?
Im in 7th grade and I really need help
Answer: h = 6
explanation:
first u get h by itself
4h + 6 = 30
subtract 6 from both sides
4h = 24
divide by 4 on both sides
h = 6
Answer:h=3/13
Step-by-step explanation: Subtract 6 from both sides of the equation 4h+6-6=30h-6 you simplify 4h=30h-6. Subtract 30h from both sides of the equation then you get -26h=-6 then you divide both sides of the equation by the same term -26h/-26=-6/-26 and your answer is 3/13.
help me please. i have been doing this for a long time
Answer:
I am deeply sorry.
Step-by-step explanation:
I am really sorry about how long it takes you to do "this". My best advice is to take a break and think it out slowly.
A survey was done that asked people to indicate whether they preferred to ride a
street bike or a mountain bike. The results of the survey are shown in the two-way
table.
Amjed is making a relative frequency table from this data.
What operation should Amjed perform to determine the relative frequency of a
person over 30 years old who prefers to ride a mountain bike? 1) Subtract 25 from 462, then divide by 462. 2) Divide 25 by 462. 3) Add 180 to 462, then divide by 463. 4) Divide 180 by 462
The operation that Amjed should perform to determine the relative frequency of a person over 30 years old who prefers to ride a mountain bike is given as follows:
2) Divide 25 by 462.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.
The total number of people is given as follows:
58 + 164 + 215 + 25 = 462.
Out of these people, 25 prefer mountain bike, hence the relative frequency is given as follows:
25/462.
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The ratio of the corresponding sides of two similar squares is 1 to 4. What is the ratio of the area of the
smaller square to the area of the larger square?
1) 1:3
2) 1:9
3) 1:16
4) 1:25
Answer:
1:16
Step-by-step explanation:
The ratio of the sides of similar figures is actually called a scale factor. The ratio of the areas is the scale factor squared
scale factor= 1:4
ratio of areas=1^2:4^2
=1:16
always search up for more info
The segment AB has endpoints at A(-2,5) and B(2,3). Which of the following is the length of A’B’, the image of AB after a dilation by a factor of 6 centered at the point C(-4,8)
To find the length of A'B', we first need to find the coordinates of A' and B' after the dilation. The length of A'B' is 6√20.
Using the formula for dilation:
A' = 6*(-2,5) + (-4,8) = (-16,38)
B' = 6*(2,3) + (-4,8) = (8,26)
Now that we have the coordinates of A' and B', we can use the distance formula to find the length of A'B':
A'B' = √[(8 - (-16))^2 + (26 - 38)^2]
= √[(24)^2 + (-12)^2]
= √(720)
= 12√5
Therefore, the length of A'B' after the dilation is 12√5.
To find the length of A'B', the image of AB after a dilation by a factor of 6 centered at point C(-4, 8), you can follow these steps:
1. Find the length of AB using the distance formula: √((x2 - x1)² + (y2 - y1)²) = √((2 - (-2))² + (3 - 5)²) = √(4² + (-2)²) = √(16 + 4) = √20.
2. Calculate the length of A'B' using the dilation factor: A'B' = Dilation Factor × Length of AB = 6 × √20 = 6√20.
Hence, So, the length of A'B' is 6√20.
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Help I need help please help I need help
Answer: 2 ribbons can be cut
Since 3/4 divided by 1/3 = 2.25, therefore you can make 2 full sized ribbons. He will have 3/4 of a ribbon left.
Find the actual sum 1 3/4+ 1 5/8 to determine how much david grew in two years. Use the estimate to explain how you know your answer is reasonable.Show your work.
Answer:
S = 27/8
Step-by-step explanation:
We need to find the actual sum of \(1\dfrac{3}{4}+1\dfrac{5}{8}\).
We need to find how much Devid grew in two years.
\(1\dfrac{3}{4}=\dfrac{7}{4}\)
and
\(1\dfrac{5}{8}=\dfrac{13}{8}\)
Sum means,
\(S=\dfrac{7}{4}+\dfrac{13}{8}\\\\=\dfrac{7(2)+13}{8}\\\\=\dfrac{14+13}{8}\\\\=\dfrac{27}{8}\)
Hence, the answer is 27/8.
A scientist put 14.7 grams of a substance on a scale. She then put another 7.12 grams of the substance on the scale.
How many grams of the substance are on the scale?
What is the length of PQ in this diagram
Answer:
B. Root 74
Step-by-step explanation:
a^2 + b^2 = c^2
5^2 + 7^2 = c^2
74. = c^2
Square root
C is root 74
Hope this helps!
When driving to their family reunion, River's mom drove 10 miles at a rate of x mph and then 25 miles at a rate of x+10 mph. The total driving time was 45 minutes. What were the two driving speeds at which River's mom drove?
The speed of River's mom drove for 10 miles distance is 0.234 mph
The speed of River's mom drove for 25 miles is 10.234 mph
What is speed?Speed is measured as distance moved over time. The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time. In this example, distance is in metres (m) and time is in seconds (s), so the units will be in metres per second (m/s).
here, we have,
Given as :
The first distance cover by River's mom = 10 miles
The rate of speed = x mph
The second distance cover by river's mom = 25 miles
The rate of speed = x + 10 mph
The total driving time = 45 min
Now, According to question
Time = speed/distance
So, 45 =10/x + 25/(x+10)
Or, 9 =2/x + 5/(x+10)
Or, 9 × x × ( x + 10 ) = 2 × ( x + 10 ) + 5 x
Or, 9 x² + 90 x = 2 x + 20 + 5 x
Or, 9 x² + 90 x = 7 x + 20
Or, 9 x² + 90 x - 7 x - 20 = 0
Or, 9 x² + 83 x - 20 = 0
Solving this quadratic equation
x = 0.234 , - 9.4567
so, the value is,
I.e x = 0.234 , - 9.4567
now,
We consider x = 0.234
So, The speed for 10 miles distance = x = 0.234 mph
and The speed of 25 miles = x + 10 = 0.234 + 10 = 10.234 mph
Hence The speed of River's mom drove for 10 miles distance is 0.234 mph
and The speed of River's mom drove for 25 miles is 10.234 mph
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3. DINING Only 6 out of 100 Américans
say they leave a tip of more than 20%
for satisfactory service in a restaurant.
Out of 1,500 restaurant customers, how
many would you expect to leave a tip of
more than 20%?
The number of Americans to leave a tip of more than 20% in 1500 is 90
Calculating the number of AmericansIf only 6% of Americans leave a tip of more than 20% for satisfactory service in a restaurant, we can assume that the same proportion of restaurant customers will do so.
Therefore, out of 1,500 restaurant customers, we would expect:
6% of 1,500 = (6/100) x 1,500 = 90
So we would expect 90 restaurant customers to leave a tip of more than 20%.
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A pole is being decorated with 13-meter ribbons that are strung from the top of the 6-meter pole to a point on the ground. Which is the measure of the angle formed by the ribbon and the pole? a. 24.8 b. 65.2 c. 27.5 d. 62.5
the tangent of the angle, which we can then use to calculate the angle in degrees. Therefore, angle = tan-1(6/13) = 65.2 degrees.
b. 65.2
To find the measure of the angle, we need to use the inverse tangent (tan-1) function.
angle = tan-1(6/13)
angle = 65.2
We need to use the inverse tangent (tan-1) function to calculate the measure of the angle. To do this, we need to divide the height of the pole (6 meters) by the length of the ribbon (13 meters). This will give us the tangent of the angle, which we can then use to calculate the angle in degrees. Therefore, angle = tan-1(6/13) = 65.2 degrees.
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Find the inverse z-transform (r[n]) for the following signals (a) X(2)=, |2>8 3 (b) X(2) = 7+3+2) |2|>2 (c) X (2) = 22-0.75 +0.125 |2|>
(a) The inverse z-transform of X(2) is r[n] = 8δ[n-2] + 3δ[n-2].
(b) The inverse z-transform of X(2) is r[n] = 7δ[n-2] + 3δ[n-2] + 2δ[n-2].
(c) The inverse z-transform of X(2) is r[n] = 22(-0.75)^n + 0.125(-2)^n.
(a) The inverse z-transform of X(2) is obtained by replacing z with the unit delay operator δ[n-2], which represents a shift of the signal by 2 units to the right. Since X(2) has two terms, we multiply each term by the corresponding δ[n-2] to obtain the inverse z-transform r[n] = 8δ[n-2] + 3δ[n-2].
(b) Similar to (a), we replace z with δ[n-2] and multiply each term in X(2) by the corresponding δ[n-2]. This yields the inverse z-transform r[n] = 7δ[n-2] + 3δ[n-2] + 2δ[n-2].
(c) For X(2), we have a geometric series with a common ratio of -0.75 or -2, depending on the absolute value of the term. By applying the inverse z-transform, we obtain r[n] = 22(-0.75)^n + 0.125(-2)^n.
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2 2.1 Mathematical intro show that there is another form for spherical harmonics: 1 3 3 Y₁ x iy 1/√√2 (²-1) 2πT 2π 1 3 3 z YO 2 2π π r 1 3 x iy Y₁¹ 3 2π - - 12 √ √ 2² (²+²) 2 2π
Spherical harmonics are an integral part of quantum mechanics. They describe the shape of the orbitals, which electrons occupy in atoms. Moreover, the spherical harmonics provide the angular distribution of a wave in spherical coordinates. In 3D, the spherical harmonics can be written as:
Ylm(θ, φ) = √(2l + 1)/(4π) * √[(l - m)!/(l + m)!] * Plm(cosθ) * e^(imφ)
Here, l and m are known as the angular quantum numbers. They define the shape and orientation of the orbital. Plm(cosθ) represents the associated Legendre polynomial, and e^(imφ) is the exponential function. The spherical harmonics have various forms, including:
Y1,1 = -Y1,-1 = 1/2 √(3/2π) sinθe^(iφ)
Y1,0 = 1/2 √(3/π)cosθ
Y2,2 = 1/4 √(15/2π)sin²θe^(2iφ)
Y2,1 = -Y2,-1 = 1/2 √(15/2π)sinθcosφ
Y2,0 = 1/4 √(5/π)(3cos²θ-1)
Y0,0 = 1/√(4π)
The spherical harmonics have various applications in physics, including quantum mechanics, electrodynamics, and acoustics. They play a crucial role in understanding the symmetry of various systems. Hence, the spherical harmonics are an essential mathematical tool in modern physics. Thus, this is how one can show another form for spherical harmonics.
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Find the percent of change. Round to the nearest whole percent. Joe thought it would take him 74 minutes to complete the job. It actually took him 85 to complete the job.
Answer:
15%
Step-by-step explanation:
plug your numbers to the equation
(85-74)/74 then multiply that by 100
then move the decimal right 2 places
Answer:
15%
First of all, you need to find the difference between 85 min and 74 min.
85-74=11 min
Now, we need to find %increase-
increase/Original *100
11/74*100=
14.8648648649
= 14.8
15% if you were to round.
Sasha’s daily tips this work week were $43, $32, $65, $88, $50, and $72. Is Sasha correct in thinking that the mean accurately represents how much money she makes in daily tips? Yes, Sasha is correct. The mean amount she makes is $58.33 in a day. Yes, Sasha is correct. The mean amount she makes is $65.33 in a day. No, Sasha is not correct. The median amount she makes is $53.00 in a day. No, Sasha is not correct. The median amount she makes is $60.00 in a day.
Sasha’s daily tips this week were $43, $32, $65, $88, $50, and $72. Is Sasha correct in thinking that the mean accurately represents how much money she makes in daily tips?
a. Yes, Sasha is correct. The mean amount she makes is $\(58.33\) in a day.
b. Yes, Sasha is correct. The mean amount she makes is $65.33 in a day.
c. No, Sasha is incorrect. The median amount she makes is $53.00 in a day.
d. No, Sasha is incorrect. The median amount she makes is $60.00 in a day.
Answer:a. Yes, Sasha is correct. The mean amount she makes is $58.33 in a day.
Step-by-step explanation:Gather all of Sasha's daily tips, we will add them all and divide them by the number of tips on the workweek. We will get:
\(\frac{43 + 32 + 65 + 88 + 50 + 72}{6} = \frac{350}{6} = 58.3333333\)
When rounding \(58.333..\) we get an answer of \(58.33\)
please please help me ill give u brainly :))
Answer:
2.38
Step-by-step explanation:
1.40 / 2.5 = 0.56
0.56*4.25 = 2.38
Find the leading coefficient of the polynomialx^2(3x-4)^2
As you can see above the given polynomial simplified is equal to:
\(x^2(3x-4)^2=9x^4-24x^3+16x^2\)The leading coefficient is the coefficient of the term of highest degree.
The term with highest degree in the given polynomial is:
\(9x^4\)Then, the leading coefficient is 9This is my math hw someone help pls ?
write the following expression as a function of an acute angle. cos (125°) -cos55° cos35° cos55°
The expression cos (125°) - cos 55° cos 35° cos 55° can be written as cos (55°) + cos (55°) cos (35°) cos (55°).
cos (125°) can be rewritten as cos (180° - 125°). Similarly, cos (35°) can be rewritten as cos (180° - 35°). Therefore, the expression can be written as:
cos (180° - 125°) - cos (55°) cos (180° - 35°) cos (55°)
Simplifying further, we have:
cos (55°) - cos (55°) cos (145°) cos (55°)
Since 145° is the supplement of 35°, we can rewrite it as:
cos (55°) - cos (55°) cos (180° - 35°) cos (55°)
Now, cos (180° - 35°) is equal to -cos (35°). Therefore, the expression becomes:
cos (55°) + cos (55°) cos (35°) cos (55°)
Hence, the expression as a function of an acute angle is:
cos (55°) + cos (55°) cos (35°) cos (55°)
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How many solutions does the system have?
y=3x-1
y=-2x+4
Answer:
This system has one answer.
Step-by-step explanation:
This system only has one answer which are: x=1 y=2
Hope this helped! :)
Answer:
(y,x) =(14,5)
Step-by-step explanation:
im in 10th grade
Simplify
3√x^5/
5√x^2
Answer:
3√x^5/=15√x
5√x^2=10√x
Step-by-step explanation:
multiply 5 by 3.
multiply 2 by 5.
Factor the polynomial by its greatest common monomial factor.
6x2 + 8x2-
4x
Answer:
he should have multiplied
Step-by-step explanation:
In step 1 [($22.75 + 3) + $32.75 − $14.25] ⋅ 1 over 5 it should have been[($22.75 * 3) + $32.75 − $14.25] ⋅ 1 over 5
Step-by-step explanation:
Answer:
2x(7x-2)
Good Luck!!!
What divided by 76 equals 127
Easy one please answer ASAP
Answer is : 9692
cxcvbnm
In a hat, you have index cards with the numbers 1 through 10 written on them. Find how many of the 10 possible numbers you can pick match the described event, then drag and drop each of the numbers into the correct box to order the events from least likely to happen (1) to most likely to happen (8) when you pick one card at random.A. You pick a number greater than 0.B. You pick an even number.C. You pick a number that is at least 2.D. You pick a number that is at most 0.E. You pick a number divisible by 3.F. You pick a number divisible by 5.G. You pick a prime number.H. You pick a number less than the greatest prime number among the numbers 1 through 10.
The order of events from least likely to most likely are as follows:
D. You pick a number that is at most 0A. You pick a number greater than 0C. You pick a number that is at least 2B. You pick an even numberE. You pick a number divisible by 3F. You pick a number divisible by 5G. You pick a prime numberH. You pick a number less than the greatest prime number among the numbers 1 through 10The reason for this order is because of the chances of each event occurring. Event D has the least chance of occurring because no numbers in the set have a value less than or equal to 0. Event A is the next least likely because only one number in the set is greater than 0, which is the number 1. Event C is the next least likely because only two numbers in the set are at least 2 (2 and 3). Event B is the next least likely, as there are only five even numbers in the set (2, 4, 6, 8, and 10). Events E, F, G, and H are the most likely to occur, because of the number of numbers that are divisible by 3, and 5, and are prime numbers.
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Please help! Can’t find the answer anywhere!!! Last question, please answer!!! Thanks
Answer:
The range is what your output can be. If x is your input, then y is your output. So in this case the range is whatever y is. It looks like your line is y=6. So that's the answer.
If 3 + 4 = 7, 4 + 3 = 9, Find the value of (x-y).
Given:
Consider the equations are
\(3x+4y=7\)
\(4x+3y=9\)
To find:
The value of x-y.
Solution:
We have,
\(3x+4y=7\) ...(i)
\(4x+3y=9\) ...(ii)
Subtracting (i) from (ii), we get
\(4x+3y-(3x+4y)=9-7\)
\(4x+3y-3x-4y=2\)
\((4x-3x)+(3y-4y)=2\)
\(x-y=2\)
Therefore, the value of x-y is 2.