Step-by-step explanation:
4
\(7x + 5 = 4 x + 10 \\ 7x - 4x = 10 - 5 \\ 3x = 5(divide by three \: both \: sides) \\ x = \frac{5}{3} \)
Translate X(2,3) Y(0,0) Z(4,4) 2 units right and 3 units up
Answer:
X(4, 6) Y(2, 3) Z(6, 7)
Step-by-step explanation:
If you want to translate something right on a number line, then you are essentially adding to it. Thus you would just add 2 to each of the x values of the coordinates. The same applies with translating something up, all that really means is that you are adding to each of the y values so all you have to do is add 3 to each of the y values and you get your answer.
Answer:
X:(4,6), Y:(2,3), Z:(6,7)
Step-by-step explanation:
2 units right implies a change on the x-axis, meaning you add 2 units to the x of the coordinate pair (x, y). 3 units up implies a change in Y, you apply the same rule and add 3 to the Y of the pair.
2 units right (add 2 to x pair coordinate)
X: (2,3) --> (4,3)
Y: (0,0) --> (2,0)
Z:(4,4) --> (6,4)
and 3 units up (add 3 to y pair coordinate)
X: (4,3) --> (4,6)
Y: (2,0) --> (2,3)
Z: (6,4) --> (6,7)
Help on this please
\(|x|\geq 7\)
how do historical scientists deal with falsification, and what is the mechanism they use in hopes of falsifying hypotheses?
Historical scientists deal with falsification by rigorously analyzing evidence, using peer review and scholarly discourse, and revising hypotheses based on new discoveries and interpretations.
Historical scientists deal with falsification by employing rigorous methodologies and critical analysis of evidence. They strive to gather as much relevant data as possible to test hypotheses and theories. This is done through meticulous research, including the examination of primary sources, archaeological artifacts, historical records, and other forms of evidence. Historical scientists also engage in peer review and scholarly discourse to subject their findings to scrutiny and criticism.
The mechanism used by historical scientists to falsify hypotheses involves a combination of evidence-based reasoning and the application of established principles of historical analysis. They aim to construct coherent and logical explanations that are supported by the available evidence. If a hypothesis fails to withstand scrutiny or is contradicted by new evidence, it is considered falsified or in need of revision. Historical scientists constantly reassess and refine their hypotheses based on new discoveries, reinterpretation of existing evidence, and advancements in research techniques. This iterative process helps to refine our understanding of the past and ensures that historical knowledge remains dynamic and subject to revision.
Therefore, Historical scientists deal with falsification by rigorously analyzing evidence, using peer review and scholarly discourse, and revising hypotheses based on new discoveries and interpretations.
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A survey asked, "How many tattoos do you currently have on your body?" Of the 1233 males surveyed, 190 responded that they had at least one tattoo. Of the 1033 females surveyed,128
responded that they had at least one tattoo. Construct a 99% confidence interval to judge whether the proportion of males that have at least one tattoo differs significantly from the proportion of females that have at least one tattoo. Interpret the interval.
Let p1 represent the proportion of males with tattoos and p2 represent the proportion of females with tattoos. Find the 99% confidence interval for p1−p2.
The lower bound ___ your response here.
The upper bound is ___ (Round to three decimal places as needed.)
Interpret the interval.
A.There is 99% confidence that the difference of the proportions is in the interval. Conclude that there is insufficient evidence of a significant difference in the proportion of males and females that have at least one tattoo.
B.There is a 99% probability that the difference of the proportions is in the interval. Conclude that there is insufficient evidence of a significant difference in the proportion of males and females that have at least one tattoo.
C.There is a 99% probability that the difference of the proportions is in the interval. Conclude that there is a significant difference in the proportion of males and females that have at least one tattoo.
D.There is 99% confidence that the difference of the proportions is in the interval. Conclude that there is a significant difference in the proportion of males and females that have at least one tattoo.
There is insufficient evidence of a significant difference in the proportion of males and females that have at least one tattoo.
Therefore, the correct answer is A.
To construct a confidence interval for the difference in proportions, we can use the following formula:
CI = (p1 - p2) ± Z ×√[(p1×(1 - p1) / n1) + (p2 × (1 - p2) / n2)]
Where:
p1 and p2 are the sample proportions for males and females, respectively.
n1 and n2 are the sample sizes for males and females, respectively.
Z is the critical value corresponding to the desired confidence level.
From the given information, we have:
p1 = 190/1233
n1 = 1233
p2 = 128/1033
n2 = 1033
Confidence level = 99% (which corresponds to a critical value of Z)
Calculating the confidence interval:
CI = (190/1233 - 128/1033) ± Z× √[(190/1233× (1 - 190/1233) / 1233) + (128/1033 ×(1 - 128/1033) / 1033)]
Now, let's find the critical value Z for a 99% confidence level. Since the sample sizes are large, we can use the standard normal distribution. The critical value for a 99% confidence level is approximately 2.576.
CI = (0.154 - 0.124) ± 2.576× √[(0.154× (1 - 0.154) / 1233) + (0.124 × (1 - 0.124) / 1033)]
CI = 0.030 ± 2.576×√[0.000118 + 0.000124]
CI = 0.030 ± 2.576×√(0.000242)
CI = 0.030 ± 2.576×0.015556
CI = 0.030 ± 0.040085
CI ≈ (-0.010, 0.070)
The lower bound of the 99% confidence interval is approximately -0.010, and the upper bound is approximately 0.070.
Interpreting the interval, we can say:
A. There is 99% confidence that the difference of the proportions is in the interval. Conclude that there is insufficient evidence of a significant difference in the proportion of males and females that have at least one tattoo.
Therefore, the correct answer is A.
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Determine the pattern rule for the table and write it as an equation.
Answer:
The rule is: y = -10x+85
Step-by-step explanation:
The rule is given by:
\(y = mx+b\)
Here m is the gradient and b is the y-intercept.
We have to take two pairs of input-output to find the rule
Let the two pairs be:
(x1,y1) = (1,75)
(x2,y2) = (2,65)
Slope is found using the formula:
\(m = \frac{y_2-y_1}{x_2-x_1}\)
Putting the values
\(m = \frac{65-75}{2-1}\\m = -10\)
Putting the value of slope
\(y = -10x+b\)
Putting a pair of input-output in the equation (1,75)
\(75 = -10(1) +b\\75 = -10+b\\b = 75+10\\b = 85\)
Putting the value of b
\(y = -10x+85\)
Hence,
The rule is: y = -10x+85
i need help with this
maths
1. 24÷ (-6)
2. -15 ÷ 0.3
3. -4 ÷ (-20)
Answer:
hope it helps
Step-by-step explanation:
1) -72
2) -50
3) 0.2
Answer:
1. 24÷ (-6)=− 4
Factor the numerator and denominator and cancel the common factors.
2. -15 ÷ 0.3=− 50
3. -4 ÷ (-20)=
Reduce the expression, if possible, by cancelling the common factors.
Exact Form:
1/5
Decimal Form:
0.2
here you go! :) hope I am right
The snallest flowering plant is the flowering aquatic duckweed found in australia. it is 0.0236 inch long and 0.0129 inch wide. write these dimensions as fractions in simplest form.
The dimension of the smallest flowering plant is 59/2500 in. long and 129/10,000 in. wide.
To convert Decimal into Fraction form:
Do the following Steps:
Step 1: Make a fraction with the decimal number as the numerator and a 1 as the denominator.
Step 2: Remove the decimal places by multiplication.
Step 3: Reduce the fraction.
Step 4: Simplify the remaining fraction to a mixed number fraction if possible.
Given,
The smallest flowering plant is the flowering aquatic duckweed found in Australia.
And it is 0.0236 inch long and 0.0129 inch wide.
Here we need to write these dimensions as fractions in simplest form.
Rewrite the decimal number as a fraction with 1 in the denominator
So,
=> 0.0236/1 and 0.0129/1
Now, Multiply to remove 4 decimal places. Here, you multiply top and bottom by 10⁴ = 10000.
Then we get,
=> 236/10000 and 129/10000
Now, reduce the fraction by dividing both numerator and denominator by GCF = 4,
=> 59/2500
But the fraction 129/10000 is not reducible.
Therefore, the fraction form is,
=> 59/2500 in. long and 129/10,000 in. wide.
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In the complex number z = x + yi, what is the real part?I
Х
Y
Z
Answer:
X is the real part
Step-by-step explanation:
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
To collect data from a large group, take a _____________.
A. random sample
B. poll using a clip board
C. telephone call
D. mailed survey
Answer:
D
Step-by-step explanation:
Survey is the easiest, best, and fastest way o collect data.
(especially from if it's large)
I hope this helped!!Can someone help me with this j can’t find the right answer
\(\cfrac{6}{7}\div \left(-\cfrac{11}{2} \right)\implies \cfrac{6}{7}\cdot \left(-\cfrac{2}{11} \right)\implies -\cfrac{12}{77}\)
what are the basic arithmetic operations?
The basic arithmetic operations are:
Addition (+): The operation of finding the total of two or more numbers.
Subtraction (-): The operation of finding the difference between two numbers.
Multiplication (*): The operation of finding the product of two or more numbers.
Division (/): The operation of finding the quotient of two numbers, where the numerator is divided by the denominator.
Exponentiation (^ or **): The operation of finding the result of raising a number to a power.
These basic arithmetic operations form the foundation of many mathematical and scientific concepts, and are used in a wide variety of applications. In addition, they are the building blocks for more advanced
mathematical operations, such as logarithms, derivatives, and integrals.
What are linear equations?Linear equations are mathematical expressions that describe a linear relationship between two variables. In a linear equation, the highest power of the variables is 1, and the coefficients and variables are related in a straightforward manner.
A linear equation in one variable (such as y = 2x + 1) describes a straight line when plotted on a graph. In two variables, a linear equation describes a plane in three-dimensional space.
Linear equations have the form:
y = mx + b
where x and y are variables, m is the slope of the line, and b is the y-intercept, the point at which the line crosses the y-axis.
Linear equations are used in many fields, including economics, physics, and engineering, to model and analyze relationships between variables.
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What’s the answer to this question if your right I’ll keep giving you points
\(\huge\text{$m\angle O=\boxed{11^{\circ}}$}\)
Since we know that all angles in a triangle add up to \(180^{\circ}\), we can solve for \(x\) and substitute it back into \((x-5)^{\circ}\) to find \(m\angle O\).
\(\begin{aligned}m\angle N+m\angle O+m\angle P&=180\\(5x-8)+(x-5)+(6x+1)&=180\end{aligned}\)
Remove the parentheses and combine like terms.
\(\begin{aligned}5x-8+x-5+6x+1&=180\\(5x+x+6x)+(-8-5+1)&=180\\12x-12&=180\end{aligned}\)
Add \(12\) to both sides of the equation.
\(\begin{aligned}12x-12&=180\\12x&=192\end{aligned}\)
Divide both sides of the equation by \(12\).
\(\begin{aligned}x=16\end{aligned}\)
Now that we have the value of \(x\), we can substitute it back into \((x-5)^{\circ}\) to find \(m\angle O\).
\(\begin{aligned}m\angle O&=(x-5)\\&=16-5\\&=\boxed{11}\end{aligned}\)
i need help on 13-16
find the determinant of the n×n matrix a with 8's on the diagonal, 1's above the diagonal, and 0's below the diagonal. det(a)=
The determinant of the matrix a with 8's on the diagonal, 1's above the diagonal, and 0's below the diagonal is det(a) = 8ⁿ, where n is the dimension of the matrix.
To find the determinant of the n×n matrix a with 8's on the diagonal, 1's above the diagonal, and 0's below the diagonal, we can use the property that the determinant of a triangular matrix is equal to the product of its diagonal elements.
Since the matrix a is an upper triangular matrix, its determinant is the product of its diagonal elements.
The diagonal elements of matrix a are all 8's. Therefore, the determinant of matrix a can be computed as follows:
det(a) = 8 * 8 * 8 * ... * 8 (n times)
= 8ⁿ
Hence, the determinant of the matrix a is 8 raised to the power of n (det(a) = 8ⁿ).
This means that the determinant of matrix a is simply 8 raised to the power of the dimension of the matrix (n).
The specific values of the elements above and below the diagonal (1's and 0's, respectively) do not affect the determinant, as they do not contribute to the product when computing the determinant of an upper triangular matrix.
In summary, the determinant of matrix a is det(a) = 8ⁿ, where n represents the dimension of the matrix.
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Eric's Ford Mustang and Susan's Toyota Prius are insured with the same insurance agent. They have 100/300/50 vehicle insurance coverage. The very week of the windstorm, Susan had an accident. She lost control of her car, hit a parked car, and damaged a storefront. The damage to the parked car was $4,300 and the damage to the store was $50,400. What amount will the insurance company pay for Susan's car accident?
Step-by-step explanation:
Given:
The damage to the parked car was
$4,300and the damage to the store
was
$50,400.
Objective:
The objective is to determine the
amount will the insurance company pay
for Susan's car accident.
Explanation:
Having a 100/300/50 insurance policy
means you have $100,000 in coverage
for bodily injury liability per person,
$300,000 for bodily injury liability per
accident, and $50,000 for property
damage liability.
The anmount insurance company
will pay $4,300 for car damage and
$50,000 for property damage.
So total amount that must be paid is
$50000+$4300=$54300
mark brainly
The most likely purpose of the parenthetical
information in lines 63-64 is to
A) illustrate an abstract concept.
B) describe a new hypothesis.
C) clarify a claim.
D) define a term.
The correct option is D) define a term.
The most likely purpose of the parenthetical information in lines 63-64 is to define a term.
What is parenthetical?The parenthetical expression is additional information that is introduced to a sentence or question to clarify, explain, or add information without altering the primary meaning.
Some key features of parenthetical are-
Consider it an aside that provides readers with useful information that they don't have to have but will find useful.A parenthetical expression can alternatively be called a parenthetical phrase. These expressions necessitate the use of punctuation marks. Parentheses are an option, but they are not the only one. Commas are the most commonly used kind of punctuation with parenthetical statements.When a parenthetical statement appears at the start or conclusion of a sentence, it is denoted by a single comma or em dash.Non-essential common expressions are frequently used to emphasize a sentence or question.Therefore, the main purpose of the parenthetical information is to explain a "term".
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the diameter of a standard olympic medal is 60mm
Determine the radius of the medal
Answer:
30mm
Step-by-step explanation:
Diameter 60mm ÷ 2 = 30mm radius
Radius = 1/2 diameter
Which expression is equivalent to 25x â€" 45y?
A. 25(5x â€" 20y)
B. 5(5x - 9y)
C. 70(x â€" y)
D. 10(15x â€" 35y)
Answer:
D
Step-by-step explanation:
Somehting bknbye3uehnfhnjun Español uno, como sulfhídrica
1. Describe the basic characteristics of an independent
measures, or a between-subjects, research study.
The main advantage of an independent measures design is that it reduces the risk of order or practice effects and minimizes the influence of individual differences between participant
Describing the basic characteristicsAn independent measures design, also known as a between-subjects design, is a type of research study in which different groups of participants are used for each condition being tested.
In other words, each participant is only exposed to one condition, and the data from each group is analyzed and compared to determine if there are any significant differences between the groups.
The main characteristics of an independent measures design are:
Participants are randomly assigned to one of the groups. Each group of participants is exposed to only one level of the independent variableData is collected from each group and compared to determine if there are any significant differences between the groups. The design requires a larger sample size compared to a within-subjects design because each participant can only be in one group.Read more about research study at
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If $432 invested today yields $450 in a year's time, what is the discount factor? A) 0.10. B) 0.96. C) 1.96. D) 1.92. B) 0.96.
The discount factor of an investment with initial investment of $432 and future vaue of $450 in a year's time is 0.96 (B).
We can find the discount factor of the investment by taking the present value ($432) divided by the future value ($450) after one year. Using the present value formula, we know that:
PV = FV / (1 + r)ⁿ
where:
PV = investment present value
FV = investment future value
r = discount factor
n = time period
Based on the given data, we have:
PV = $432
FV = $450
n = 1 r?
We use the present value formula to find the discount factor:
PV = FV / (1 + r)ⁿ
$432 = $450 / (1 + r)
1 + r = 1.96
r = 0.96
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A random sample of 150 teachers in an inner-city school district found that 72% of them had volunteered time to a local charitable cause within the past 12 months. What is the standard error of the sample proportion?
a. 0.037
B. 0.057
C. 0.069
D. 0.016
The given information is as follows:A random sample of 150 teachers in an inner-city school district found that 72% of them had volunteered time to a local charitable cause within the past 12 months.
The formula for calculating the standard error of sample proportion is given as:$$Standard\(\ error=\frac{\sqrt{pq}}{n}$$\)where:p = proportion of success in the sampleq = proportion of failure in the samplen = sample sizeGiven:Sample proportion, p = 72% or 0.72Sample size, n = 150
The proportion of failure in the sample can be calculated as:q = 1 - p= 1 - 0.72= 0.28Substituting the known values in the above formula, we get:\($$Standard \ error=\frac{\sqrt{pq}}{n}$$$$=\frac{\sqrt{0.72(0.28)}}{150}$$$$=0.0372$$\)Rounding off to the nearest thousandth, we get the standard error of sample proportion as 0.037
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Which represents the solution set to the inequality 5.1(3 2.2x) > –14.25 – 6(1.7x 4)? x < –2.5 x > 2.5 (–2.5, [infinity]) (–[infinity], 2.5)
The solution set to the inequality 5.1(3 + 2.2x) > –14.25 – 6(1.7x + 4) gives x > -2.5
What is an equation?An equation is an expression that shows the relationship between two numbers and variables.
An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.
Inequality shows the non equal comparison of two or more numbers and variables.
Given the inequality:
5.1(3 + 2.2x) > –14.25 – 6(1.7x + 4)
Simplifying:
15.3 + 11.22x > –14.25 – 10.2x - 24
21.42x > -53.55
x > -2.5
The solution set to the inequality 5.1(3 + 2.2x) > –14.25 – 6(1.7x + 4) gives x > -2.5
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[15 points] 3. A transport company tests the average running time for a bus on a particular route. Assume that the running times are normally distributed. Three buses are randomly observed and their running times are recorded as follows: 2. 4, and 6 hours. (a) Show that the Sample Standard Deviation is s = 2. (b) Find the one-sided lower 90% confidence bound for , the average running time. [You don't need to do the calculations, but you'll need this number in part (c).] (c) Suppose the company claims that the average running time is u = 3. Using your answer for part (b), can we claim that > 3 with 90% confidence? 1.886 is approximately 1. Hint: √3 is approximately 1.7, and so
a. It is true that the sample standard deviation s is 2.
b. The one-sided lower 90% confidence bound for μ is ≈ 2.38
c. We can not claim that > 3 with 90% confidence.
How to calculate standard deviationThe sample standard deviation s is given by the formula
\(s =sqrt [Σ(xi - x)^2 / (n - 1)]\)
The sample mean is:
x = (2 + 4 + 6) / 3 = 4
The deviations from the mean are:
2 - 4 = -2
4 - 4 = 0
6 - 4 = 2
The sum of squared deviations is:
\((-2)^2 + 0^2 + 2^2 = 8\)
Therefore, the sample standard deviation is:
s = sqrt[8 / (3 - 1)]
= sqrt(4) = 2
To calculate the one-sided lower 90% confidence bound for the population mean μ
x - (tα,n-1) * s / sqrt(n)
For a one-sided lower confidence bound with α = 0.1 and n = 3, we have:
t0.1,2 ≈ 1.886
Therefore, the one-sided lower 90% confidence bound for μ is:
x - (t0.1,2) * s / sqrt(n) = 4 - 1.886 * 2 / sqrt(3)
≈ 2.38
To test the hypothesis that μ > 3 with 90% confidence
Compare the claimed value of μ to the one-sided lower 90% confidence bound from part (b). If the claimed value is greater than the confidence bound, we reject the claim with 90% confidence.
In this case, the one-sided lower 90% confidence bound of 2.38 is less than μ is 3.
Therefore, we can reject the claim that μ > 3 with 90% confidence.
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write an equation for the value of y in terms of x 77,x,y
Answer:
y=77+x
Step-by-step explanation:
The Triangle Angle Sum Theorem states that the sum of all of the angles in any triangle equals 180 degrees.
In the given triangle, two of the angles are already known. The third angle is 180 - y degrees, as all lines measure 180 degrees.
Therefore, the below equation can be put together.
77+x+180-y=180
77+x-y=0
x-y=-77
-y=-77-x
y=77+x
So, y in terms of x is ... y=77+x.
Hope this helps! Comment any questions.
Simplify: (6^3)(9^3). Write your answer using an exponent.
Answer:
\( →{6}^{3} \times {9}^{3} \\ = ( {2}^{3} \times {3}^{3} ) \times ( {3}^{3} \times {3}^{3} ) \\ = {2}^{3} \times {3}^{3} \times {3}^{3} \times {3}^{3} \\ = \boxed{{2}^{3} \times {3}^{9} }✓\)
2³×3⁹ is the right answer.I WILL GIVE YOU BRANLIST OF YOU HELP ME WITH THESE TWO PROBLEMS
Answer: a)False
b)False
c)True
d)True
Step-by-step explanation:
a) the are more crosses marked in the less than 1 mile side (false)
b) the most common one in this is 1/2 mile (false)
c) 5/8 mile is actually empty so it is (true)
d) this is (true) as the shortest one is 1 therefore 1 x 5 is 5 so it is true
help asap
\(i \: dont \: understant\)
please help
Answer:
The answer is 5.8 kmStep-by-step explanation:
Since the triangle is a right angled triangle we can use Pythagoras theorem to find the missing side c
Using Pythagoras theorem we have
c² = b² + a²
where
c is the hypotenuse
So we have
\( {c}^{2} = {5}^{2} + {3}^{2} \\ c = \sqrt{ {5}^{2} + {3}^{2} } \\ c = \sqrt{ 25 + 9} \\ c = \sqrt{34} \: \: \: \: \: \: \: \: \\ = 5.83095189...\)
We have the final answer as
5.8 km to the nearest tenthHope this helps you
Mike has $21 to spend at the mall. He spends all of his money on bracelets for his sisters. Bracelets cost $3 each. How many bracelets dose he buy?
Answer:
7
Step-by-step explanation: