The solution to the following equations are:
x + 8 = 6; x = -2x - 1 = -4; x = -310 + x = 5; x = -5x + 4 = -14; x = -18x - 3 = -9; x = -6-4 + x = -8; x = -4-5 = 10x; x = -0.5-4x = -60; x = 153x = -24; x = -8What are the solution to the equations?x + 8 = 6
subtract 8 from both sides
x = 6 - 8
x = -2
x - 1 = -4
Add 1 to both sides
x = -4 + 1
x = -3
10 + x = 5
subtract 10 from both sides
x = 5 - 10
x = -5
x + 4 = -14
subtract 4 from both sides
x = -14 - 4
x = -18
x - 3 = -9
Add 3 to both sides
x = -9 + 3
x = -6
-4 + x = -8
Add 4 to both sides
x = -8 + 4
x = -4
-5 = 10x
divide both sides by 10
x = -5/10
x = -0.5
-4x = -60
divide both sides by -4
x = -60/-4
x = 15
3x = -24
divide both sides by 3
x = -24/3
x = -8
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A researcher reports t(22) = 5.30, p < .01 for an independent-measures experiment. how many individuals participated in the entire experiment?
For the entire independent-measures experiment 24 individuals are participated.
What do you mean by independent-measures experiment?Different participants are utilized in each condition of the independent variable in an experimental design known as an independent measures design, or between-groups. This indicates that a different group of participants is present for each condition of the experiment. A research strategy known as an independent measures design uses numerous experimental groups with subjects only being assigned to one group. Throughout the experiment, each participant is solely exposed to one independent variable condition. A drug trial for a novel medicine would serve as an example. This has the benefit of preventing order effects, which occur when participants behave differently as a result of the order in which conditions are done, often as a result of factors like boredom or exhaustion.
We are given the value t(22) = 5.30, p < .01
So here degree of freedom (df) is 22 and it is independent so there is two samples,
so df= n₁+n₂-2
⇒ 22 = n₁+n₂-2
⇒ n₁+n₂ = 24.
Thus for the entire experiment 24 individuals are participated.
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Diego works at a carwash and makes $11 per hour. If he works 9 hours of overtime in a week, how much overtime would he earn? Consider that overtime is paid at time-and-a-half of his regular rate. 158.40 130.00 150.40 148.50
Answer: Total Hours
Regular Rate = $11.25 / hour
Overtime Rate = $16.88 / hour
Double Time Rate = $22.50 / hour
Step-by-step explanation:
Scores on a national math test are Normally distributed, with a mean score of 490 and a standard deviation of 50. Which test score represents the top 20%, rounded to the nearest whole number?
Find the z-table here.
426
448
532
554
Answer:
532
Step-by-step explanation:
The score that represents the top 20% = A score = 80%
Z score for 80% percentile = 0.842
We solve using the z score formula
z = (x-μ)/σ, where
x is the raw score = ??
μ is the population mean = 490
and σ is the population standard deviation = 50
Hence:
0.842 = x - 490/50
Cross Multiply
0.842 × 50 = x - 490
x = 0.842 × 50 + 490
x = 42.1 + 490
x = 532.1
Approximately = 532
Therefore, the test score = 532
Answer:
532
Step-by-step explanation:
edg 2020-2021
Somebody help with all 2 problems!!!!!!!!!!!!!!!!!!
Answer:
15 miles
Step-by-step explanation:
Well it's 34= 4+ 2x
You remove 4 from 34 since that's the flat fee. Then you just divide 30 /2 which gets you to 15
Answer:
Question #1.
Part A) C
Part B) "x" represents the cost of each of the equally priced items that mariam buys.
Question #2.
2x+4=34
x = 15
Step-by-step explanation:
$2 represents the amount per mile and the $4 represents the flat fee. "x" represents the number miles that matthew traveled on his trip. Since he spent a total of $34 on his trip and $4 on a flat one time fee then all you need to find is the number of miles he traveled since they give you fee per mile, which is $2.
So, solve:
2x+4=34, minus 4 from both sides
2x=30 then divide by 2 from both sides
x=15
DONT IGNORE PLS HELP is the option I chose the right answer?
Answer: The correct answer is Yes, the relationship between x and y is a non-linear function.
I hope this helps.
Step-by-step explanation:
Given the table
Edge Length, x Surface Area, y
1 6
2 24
3 54
4 96
The table values clearly represent a function, because each input value has one and only one output value. i.e. there is no repetition of x values.
Also from the table values and the graph, it is clear that the function is not a linear function, because the graph is not a straight line. Also, In a cubic function, the highest power over the x variable(s) is 3. So, it is not a linear function.
Hence, we conclude that Yes, the relationship between x and y is a non-linear function.
Therefore, the 'last option' is correct.
Which measure of variability is most general, and hence least useful? a). Median b). Range c). s d). Median Deviation.
As range doesn't reveal anything about the distributive property of the data, it is the least helpful measure of variability because it is the most generic.
1. Sort the data either ascendingly or descendingly.
2. Determine how many items are in the data set.
3. The median is the number in the middle of the list if the number of items is odd.
4. The median is the average of the two middle numbers in the list if the number of items is even.
To figure out the range:
1. Sort the data either ascendingly or descendingly.
2. To determine the range, deduct the smallest number from the largest.
As range does not reveal anything about the distribution of the data, it is the least useful measure of variability because it is the most generic. Range does not indicate where the values fall within the range; rather, it measures the difference between the highest and lowest values in a data collection.
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Please help !! Will mark brainliest answer
Answer:
x = 12
Step-by-step explanation:
18:24 (comparing the same sides for the similar shapes; 18 and 24) when simplified down is equal to 3:4.
Using this 3:4 scale factor we can find the missing side x.
Solving for x :
\(\frac{3}{4}\) × 16 = 12
x = 12
OR: Set up a proportion:
\(\frac{24}{16}\) × \(\frac{18}{x}\)
cross-multiply
16 × 18 = 288
24 × x = 24x
288 = 24x
x = 12
A highway inspector needs an estimate of the mean weight of trucks crossing a bridge on the interstate highway system. She selects a random sample of 49 trucks and finds a mean of 15. 8 tons with a sample standard deviation of 3. 85 tons. The 90 percent confidence interval for the population mean is:
The 90 percent confidence interval for the population mean is (15.03, 16.57) tons.
To calculate the confidence interval, we can use the formula:
Confidence interval = sample mean ± (critical value) * (standard deviation / √(sample size))
Since we want a 90 percent confidence interval, we need to find the critical value associated with a 90 percent confidence level. Looking up the critical value in a standard normal distribution table, we find that it is approximately 1.645.
Plugging in the values into the formula, we have:
Confidence interval = 15.8 ± (1.645) * (3.85 / √(49))
= 15.8 ± (1.645) * (3.85 / 7)
≈ 15.8 ± 0.77
Therefore, the 90 percent confidence interval for the population mean is (15.03, 16.57) tons.
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A roller coaster’s height is given by the equation h = –.067t2 7t 50, where t represents the time in seconds. how long will it take riders to pass over the hill and reach ground level? hint: set h = 0. 13.40 seconds 50.07 seconds 52.24 seconds 111.19 seconds
The time it take riders to pass over the hill and reach ground level is 111.19 seconds .
Given :
the roller coaster's height expressed by the equation below;
h = -0.067t^2 + 7t + 50
where
t is the time in seconds
The driver will hit the ground at the point where h = 0
Substitute
-0.067t^2 + 7t + 50 = 0
Multiply through by -1
0.067t^2 - 7t +-50 = 0
Factorize :
On factorizing, the positive value of "t" is 111.19 seconds
Hence the time it take riders to pass over the hill and reach ground level is 111.19 seconds
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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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Which of the following best describes the possible values for a chi-square statistic?
a. Chi-square is always a positive whole numbers.
b. Chi-squarc is always positive but can contain fractions or decimal values.
c. Chi-square can be either positive or negative but always is a whole number.
d. Chi-square can be either positive or negative and can contain fractions or
decimals.
Therefore (b). A chi-square statistic is always positive as it is the sum of squared deviations from expected values.
However, it can contain fractions or decimal values as it is based on continuous data. The chi-square distribution is skewed to the right and its shape depends on the degrees of freedom. The possible values for a chi-square statistic depend on the sample size and the number of categories in the data. In general, larger sample sizes and more categories will result in larger chi-square values. It is important to note that a chi-square statistic cannot be negative as it is the sum of squared deviations. Therefore, options (a) and (c) are incorrect. In conclusion, the correct answer is (b) and it is important to understand the properties and interpretation of chi-square statistics in statistical analysis.
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A student is asked to find the vertex of a parabola whose equation is as follows: y = 3 * (x + 4) ^ 2 - 2 The student concludes the vertex is at (4, - 2) . the student correct? If not, what do you think the student did wrong? Explain with as much relevant mathematical detail as possible. Please use at least 3 sentences total in your answer
Step-by-step explanation:
the general equation of a parabola is
y = a(x – h)² + k.
(h, k) is the vertex of the parabola.
comparing it to
y = 3(x + 4)² - 2
we see that (h, k) = (-4, -2).
the student made a sign mistake. it is "- h" in the squared factor. so, "+4" indicates "-4" as "h".
but the student simply used "+4".
if d represents how many dozens of eggs were ordered, which expression represents the number of eggs that were ordered
If d represents how many dozens of eggs were ordered, then the expression that represents the number of eggs that were ordered is 12d. Therefore, if we order d dozen of eggs, we will have 12 * d eggs.
The expression 12d is a product of the number of eggs in a dozen (12) and the number of dozens ordered (d).If we multiply d dozen of eggs by the number of eggs in each dozen, which is 12, we will get the total number of eggs that were ordered. So, 12d is the expression that represents the number of eggs that were ordered.Therefore, we can use this expression to calculate the number of eggs when we know how many dozens were ordered. For example, if we ordered 5 dozen eggs, we can use the expression 12d to calculate the number of eggs as follows:Number of eggs = 12d = 12 * 5= 60 eggsFor such more question on dozens
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A fisherman is measuring the amount of bait he has remaining, y, in his bucket. He puts 30 pieces of bait in his bucket at the beginning of his fishing trip and uses 4 pieces every hour, x. What is the slope for this linear relationship, and what does it mean in this situation?
−4; the amount of bait decreases by 4 pieces each hour
4; the amount of bait increases by 4 pieces each hour
−30; the amount of bait in the bucket when the fishing trip began
30; the amount of bait in the bucket when the fishing trip began
Answer:
−4; the amount of bait decreases by 4 pieces each hour
Step-by-step explanation
Answer:
−4; the amount of bait decreases by 4 pieces each hour
Step-by-step explanation:
I did the exam and got it right .
hope this helps you! have a Great day!
Use the given graph to complete the table. Then write an equation representing the relationship.
The equation of the relation is y = 3/2x.
x | y
0 0
2 3
4 6
How to Write the Equation that Represents a Proportional Relationship?To write the equation for the proportional relationship between two variables, x and y, find the unit rate, k, which is k = y/x.
Substitute the value of k into y = kx to write the equation of the relationship.
Using a point on the line, (2, 3):
k = y/x = 3/2
Substitute k = 3/2 into y = kx:
y = 3/2x
Using the equation, substitute each of the values of x in the table to get the corresponding value of y:
For 0:
y = 3/2(0)
y = o
For 2:
y = 3/2(2)
y = 3
For 4:
y = 3/2(4)
y = 6
The table is:
x | y
0 0
2 3
4 6
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You are a member of a population of 10,000 people. You happen to be chosen for a simple random sample of size 1,000 this year. Then you are chosen for another simple random sample of size 100 (drawn independently of the first sample) next year. You think you're incredibly unlucky to be chosen for two such samples, but how unlucky are you? The probability of this happening is which of the following?
a. (1/10,000)2 b. 2/10,000 c. 1/10 d. 1/1,000
The probability of this happening unlucky is \(\frac{1}{1000}\).
Given that
You are a member of a population of 10,000 people.
You happen to be chosen for a simple random sample of size 1,000 this year.
Then you are chosen for another simple random sample of size 100 (drawn independently of the first sample) next year.
P(getting in sample 1st year) = \(\frac{(\frac{9999}{99})(\frac{1}{1} ) }{(\frac{10000}{1000} )}\)
= \(\frac{1000}{10000} = \frac{1}{10}\)
P(getting in sample 2nd year) = \(\frac{(\frac{9999}{99}) }{(\frac{10000}{1000} )}\)
= \(\frac{100}{10000} = \frac{1}{100}\)
P(getting in both samples) = \(\frac{1}{10} * \frac{1}{100} = \frac{1}{1000}\)
Hence the answer is The probability of this happening unlucky is \(\frac{1}{1000}\).
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What is the symbol of proportional?
The symbol for proportionality is "∝". It is read as "is proportional to" or "varies in proportion to".
Proportionality is a mathematical concept that describes the relationship between two quantities. When two quantities are proportional, it means that they have a constant ratio. For example, the distance traveled by a car is proportional to the time it takes to travel that distance. This means that if the time taken to travel doubles, then the distance traveled also doubles.
In mathematics, we use the symbol "∝" to represent proportionality. This symbol is read as "is proportional to" or "varies in proportion to". So, if we say that A ∝ B, it means that A is proportional to B. This implies that if B increases or decreases, then A also increases or decreases, but the ratio of A to B remains constant.
The concept of proportionality is used in various mathematical fields, such as algebra, geometry, and physics. It is a powerful tool for solving problems that involve relationships between quantities, and it is widely used in real-world applications, such as in engineering, economics, and statistics.
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find the lateral area of the prism!!
Check the picture below.
so we only want the area in pink.
\(\stackrel{\textit{left and right}}{2(4)(11)}~~ + ~~\stackrel{\textit{front and back}}{2(4)(11)}\implies \text{\LARGE 176}~cm^2\)
A square-based pyramid and its net are shown below. What is the surface
area of the pyramid (the area of its net)? Give your answer in cm².
3 cm
5 cm
Not to scale
Answer:
39cm²
Step-by-step explanation:
Surface area of square-based pyramid = length X width + 4(area of triangle)
= 3 X 3 + 4 (1.5 X 5)
= 9 + 4 (7.5)
= 9 + 30
= 39cm²
how to find the equation of a quadratic function given 3 points
Which graph shows a set of ordered pairs that represent a function?
On a coordinate plane, solid circles appear at the following points: (negative 2, 3), (negative 1, 2), (1, 1), (2, negative 1), (2, negative 3), (4, negative 5).
On a coordinate plane, solid circles appear at the following points: (negative 4, negative 4), (negative 2, 2)
On a coordinate plane, solid circles appear at the following points: (negative 3, 2), (negative 2, 2), (0, 1), (1, 3), (2, negative 4), (4, negative 1).
On a coordinate plane, solid circles appear at the following points: (negative 4, 2), (negative 2, 1), (negative 2, negative 1), (0, negative 2), (0, negative 4), (2, negative 5).
Answer:
answer is C
Step-by-step explanation:
lets be honest, your not here for an explanation.
yw btw
It costs $7 for a ticket to the Pike
football game and $2.50 per
snack. Write a function rule in
function notation for this
situation.
Answer:
let the number of snacks bought be x
f(x) = 7 +2.5(x)
=> f(x) is the amount you spend in total
1) Consider the interval 0≤x≤L. What is the second derivative, with respect to x, of the wave function ψn(x) in this interval? Express your answer in terms of n, x, L, and C as needed.
d2dx2ψn(x) =
2) What is U(x)ψn(x) in the interval 0≤x≤L? Express your answer in terms of n, L, and C as needed.
U(x)ψn(x) =
3) E is an as yet undetermined constant: the energy of the particle. What is Eψn(x) in the interval 0≤x≤L? Express your answer in terms of n, L, E, and C.
Eψn(x) =
Thus, 1) The second derivative, with respect to x, of the wave function: d2dx2ψn(x) = -Cn^2(pi/L)^2sin(n*pi*x/L).
2) U(x)ψn(x) = 0
3) Eψn(x) = -Cn^2(pi/L)^2Esin(n*pi*x/L)
1) The second derivative, with respect to x, of the wave function ψn(x) in the interval 0≤x≤L can be found by applying the second derivative operator to the wave function:
d2dx2ψn(x) = -Cn^2(pi/L)^2sin(n*pi*x/L)
where n is the quantum number and C is the normalization constant.
2) U(x)ψn(x) is the product of the potential energy function U(x) and the wave function ψn(x) in the interval 0≤x≤L. If the potential energy function is zero in this interval, then U(x)ψn(x) is also zero.
Therefore, U(x)ψn(x) = 0.
3) Eψn(x) is the product of the energy E and the wave function ψn(x) in the interval 0≤x≤L. Substituting the wave function expression from part 1 into this product, we get:
Eψn(x) = -Cn^2(pi/L)^2Esin(n*pi*x/L)
where E is the energy of the particle.
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Question 8(Multiple Choice Worth 4 points) (02.01 MC) Identify the types of sampling errors that exist in the following sampling designs: The local newspaper plans to make a prediction for a senatorial election based on a survey of its readers. A radio show asks people to phone in their views on whether the United States should pay off its debt to China. A new social media website chooses to survey the first 50 members who join to determine whether members favor the appearance of the homepage.
Answer: Nonresponse, voluntary, and convenience.
Step-by-step explanation:
For the first question, it should be noted that everyone cannot respond as only the people who have strong opinions will respond. Therefore, it's a nonresponse error.
For the second question, the people will have to volunteer. Therefore, it's a voluntary bias while the third one is a convenience sample as it's an easily available sample.
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Show all your work and steps
clearly please.
Application 4. Determine the coordinates for any local extrema for h(x) = 3x²e-3x. Do not classify. Keep all numbers exact. [A: /5]
The coordinates for the local extrema are (0, 0) and (2/3, 4e^(-2)).
To find the coordinates for any local extrema of the function h(x) = 3x^2e^(-3x), we need to find the critical points by taking the derivative of h(x) and setting it equal to zero.
Step 1: Find the derivative of h(x)
h'(x) = d/dx (3x^2e^(-3x))
To differentiate the function, we can use the product rule and the chain rule:
h'(x) = 6xe^(-3x) + 3x^2(-3e^(-3x))
= 6xe^(-3x) - 9x^2e^(-3x)
= e^(-3x)(6x - 9x^2)
Step 2: Set h'(x) = 0 and solve for x
e^(-3x)(6x - 9x^2) = 0
We have two factors: e^(-3x) = 0 and 6x - 9x^2 = 0.
For e^(-3x) = 0, there are no real solutions since the exponential function is always positive.
For 6x - 9x^2 = 0, we can factor out x:
x(6 - 9x) = 0
Setting each factor equal to zero:
x = 0 and 6 - 9x = 0
Solving the second equation:
6 - 9x = 0
9x = 6
x = 6/9
x = 2/3
So the critical points are x = 0 and x = 2/3.
Step 3: Find the corresponding y-values
To find the corresponding y-values, we substitute the critical points into the original function h(x).
For x = 0:
h(0) = 3(0)^2e^(-3(0))
= 0
For x = 2/3:
h(2/3) = 3(2/3)^2e^(-3(2/3))
= 4e^(-2)
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Natalie bought shares in a supermarkets chain in early 2018 for $21.11. She sold them later in the same year for $20 per share. What is her loss as a percent of the purchase price?
I believe it might be 1.11
class A has 11 pupils and class B has 14 pupils. Both classes sit the same maths test. the mean score for class A is 32. The mean score for class B is 38. What is the mean score(rounded to 2DP) in the maths test across both classes?
Answer:
35.36
Step-by-step explanation:
For Class A
Class A has 11 pupils
The mean score for Class A is 32.
The total score of the students =
Mean score × Number of pupils
= 32 × 11
= 352
For Class B
Class B has 14 pupils. The mean score for class B is 38.
The total score of the students =
Mean score × Number of pupils
= 38 × 14
= 532
Total number of pupils for both classes = (11 + 14)pupils
= 25 pupils
Total score for both class = 532 + 352
= 884
The mean score(rounded to 2DP) in the maths test across both classes is calculated as:
Total score of both classes÷ Total number of pupils
884 ÷ 25
35.36
HELP ASAP IM ON A TIME LIMIT
Answer:
c
Step-by-step explanation:
Select the four primary cartographic elements Select 4 correct answer(s) Orientation (North Arrow) Scale Legend Text (Title/Subtitle/etc.) Neatline Border Inset map
, the correct answers are:
Orientation (North Arrow)
Scale
Legend
Neatline Border
The four primary cartographic elements are:
Orientation (North Arrow): This element indicates the orientation or direction of the map, typically pointing towards the north. It helps users understand the map's alignment and relation to the real world.
Scale: The scale provides a ratio or representative fraction that shows the relationship between distances on the map and corresponding distances on the Earth's surface. It helps users determine the actual size or distance of features on the map.
Legend: The legend, also known as a key, explains the symbols, colors, and other graphic elements used on the map. It helps users understand the meaning or representation of various features or data.
Neatline Border: The neatline border defines the outer boundary of the map. It is a solid line that encloses the map area and separates it from the surrounding space or background.
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7th grade math , help me !
B. 31.4 (pi) units
C. 31.4 units
A. 10 (pi)
Explanation:
Well since the equation to find circumference is C = 2(pi)r
And 10(pi) is exactly 2(pi)r, it’s not the answer.
And if we use 3.14 as an estimate for (pi), then 31.4 is also true for the circumference, because 10•3.14=31.4.
Also 10(pi) is more acurate then 31.4 because (pi) isnt exactly 3.14 its more like 3.1415926535...
Hope this Helps!