Answers
Related Questions
Solve
81 = 8(2x + 8) + x
Answers
Answer:
The value of x that satisfies the equation 81 = 8(2x + 8) + x is x = 1.125.
Step-by-step explanation:
To solve for x in the equation 81 = 8(2x + 8) + x, you can first distribute the 8 on the right side of the equation to obtain 81 = 16x + 64 + x. Then, you can combine like terms on the right side of the equation by adding the two x terms and the constants to get 82 = 16x + 64. Next, you can subtract 64 from both sides of the equation to isolate the x term, which gives 18 = 16x. Finally, you can divide both sides of the equation by 16 to solve for x, resulting in x = 1.125.
hope this helps!
it is possible for two sets of data to have the same regression equation but different correlations.
Answers
Yes, it is possible for two sets of data to have the same regression equation but different correlations.
What is regression and correlation?Correlation quantifies the strength of the linear relationship between a pair of variables, whereas regression expresses the relationship in the form of an equation.
The use of correlation analysis allows for the quantification of relationships between two continuous variables, such as those between two independent variables or between a dependent and independent variable.
Regression analysis is the process of determining how one or more variables and the outcome variable relate to one another. Risk factors, co-founders, and the outcome variable are all referred to as predictors or independent variables. The outcome variable is also referred to as the dependent or response variable. Regression analysis displays the dependent variable as "y" and the independent variables as "x".
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A circle has a circumference of \blue{12}12start color #6495ed, 12, end color #6495ed. It has an arc of length \dfrac{8}{5} 5 8 start fraction, 8, divided by, 5, end fraction. What is the central angle of the arc, in degrees? ^\circ ∘ degrees
Answers
The central angle of the arc in degree is 48° when a circle has a circumference of 12 units and it has an arc of length 8/5 units.
Given that,
A circle has a circumference of 12 units and it has an arc of length 8/5 units.
We have to find what is the central angle of the arc in degree.
We know that,
Circumference =12 units
Arc length =8/5= 1.6 units
If the central angle is "θ" then the length of the arc is given by
Arc length= θ/360°×circumference
Substituting values,
1.6=θ/360°×12
θ=48°
Therefore, The central angle of the arc in degree is 48° when a circle has a circumference of 12 units and it has an arc of length 8/5 units.
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An online poll asked: "Do you believe the Loch Ness monster exists?" Among 20,111 responses, 67 % were "yes." Use a 0.05 significance level to test the claim that most people believe that the Loch Ness monster exists. How is the conclusion affected by the fact that Internet users who saw the question could decide whether to respond?
a.Identify the null and alternative hypotheses for this test. Choose the correct answer below.
b. Identify the test statistic for this hypothesis test.
c.Identify the P-value for this hypothesis test.
d.Identify the conclusion for this hypothesis test.
Answers
a) Null Hypothesis; p = 0.5
Alternative Hypothesis; p < 0.5
b) The test statistic is; z = 48.216
c) The p-value is < 0.00001.
d) The conclusion of the hypotheses is that we reject the null hypothesis and conclude that the claim that most people believe that the Loch Ness monster exists is true.
How to carry out hypothesis testing?Hypothesis testing is defined as the method used to find the probability of the hypothesis that is to be proved in the future on the basis of the small population sample.
Now, we are told that Among 20,111 responses, 67 % were "yes." Thus;
Sample proportion; p^ = 67%
The population proportion is not given and as such we will use; p = 50% = 0.5
Thus;
Null Hypothesis; p = 0.5
Alternative Hypothesis; p < 0.5
The formula for the test statistic is;
z = (p^ - p)/√(p(1 - p)/n)
z = (0.67 - 0.5)/√(0.5(1 - 0.5)/20111)
z = 48.216
The p-value from online p-value from z-score calculator is;
p-value < 0.00001.
The p-value is less than the significance value and so we reject the null hypothesis and conclude that the claim that most people believe that the Loch Ness monster exists is true.
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Find the solutions of the equation in the interval [−2, 2]. Use a graphing utility to verify your results. (Enter your answers as a comma-separated list.)
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The value of x for the given trigonometric function is (15/18)π.
What is a trigonometric function?The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.
The trigonometric function is very good and useful in real-life problems related to the right angle.
As per the given,
secx = (-2√3)/3
1/cosx = -2/√3
cosx = -√3/2
x = 150° = (15/18)π
Thus, x goes into the second quadrant as shown below.
Hence"The value of x for the given trigonometric function is (15/18)π".
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on the graph, the horizontal red line is the mechanical energy of an object, and the blue line below it is the potential energy as a function of x. at which value of x is:
Answers
The kinetic energy will be maximum if the potential energy is minimum.
Given that,
On the graph, an object's mechanical energy is represented by the horizontal red line, and its potential energy as a function of x is shown by the blue line beneath it. at what x value is:
Value of x at which
1) potential energy at the largest
2kinetic energy at the largest
3)The force on the object in the negative direction.
4)The force on the object the largest magnitude.
More above the x-axis, greater the value of potential energy. Therefore, the point at which potential energy is large at x = 4
Mechanical energy is sum of potential energy and kinetic energy
So, kinetic energy will be maximum if the potential energy is minimum.
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what is the volume of the rectangular pyramid shown? a square pyramid. the square base has side lengths 15 yards and the height is 12 yards.
Answers
The volume of the rectangular pyramid is 900 cubic yards.
The standard formula of the volume of the rectangular pyramid is written as
V = 1/3s²h
where s refers the base edge and h refers the height.
Here we have given that the square base has side lengths 15 yards and the height is 12 yards.
Now, we have to find the volume of the rectangular pyramid
As we know the the value of base edge is 15 yard and the height is 12 yards.
Now, we have to apply the values on the formula then we get,
=> V = 1/3 x 15² x 12
It can be simplified as,
=> V = 4 x 225
When we do the appropriate arithmetic operation, then we get,
=> V = 900 cubic yard.
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what is the answer to -25g greater than or equal to 150
Answers
Answer:
g ≤ - 6 or g ∈ (- ∞, - 6]---------------------------------------
Given inequality:
-25g greater than or equal to 150-25g ≥ 150Divide both sides by -25:
-25g / (-25) ≥ 150 / (-25)g ≤ - 6 Division by a negative number flips the inequality signHi, I'd be really thankful for a proper answer for this. Thank you!
Answers
1) The probabilities are given as follows:
a) More than 75: 0.0301 = 3.01%.
b) Between 60 and 73: 0.4484 = 44.84%.
c) Less than 50: 0.1057 = 10.57%.
2) The proportion of students who fail the module is of: 0.0062 = 0.62%.
3) The measures are given as follows:
Mode: 60.Median: 60.Variance: 64.How to obtain probabilities using the normal distribution?The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.The mean and the standard deviation in this problem are given as follows:
[tex]\mu = 60, \sigma = 8[/tex]
The probability that an score is more then 75 is one subtracted by the p-value of Z when X = 75, hence:
Z = (75 - 60)/8
Z = 1.88
Z = 1.88 has a p-value of 0.9699.
1 - 0.9699 = 0.0301 = 3.01%.
The probability of an score between 60 and 73 is the p-valeu of Z when X = 73 subtracted by the p-value of Z when X = 60, hence:
Z = (73 - 60)/8
Z = 1.63
Z = 1.63 has a p-value of 0.9484.
Z = (60 - 60)/8
Z = 0
Z = 0 has a p-value of 0.5.
Then:
0.9484 - 0.5 = 0.4484 = 44.84%.
The probability of an score less than 50 is the p-value of Z when X = 50, hence:
Z = (50 - 60)/8
Z = -1.25
Z = -1.25 has a p-value of 0.1057.
The proportion who might fail the test is the p-value of Z when X = 40, hence:
Z = (40 - 60)/8
Z = -2.5
Z = -2.5 has a p-value of 0.0062.
Then the statistical measures are obtained as follows:
Mode: 60. -> equals to mean.Median: 60. -> equals to mean.Variance: 64. -> standard deviation squared.More can be learned about the normal distribution at https://brainly.com/question/25800303
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set up the systems of eqautions to solve for this quadratic function to model the values in the table
Answers
The systems of equations to solve for this quadratic function to model the values in the table is y = -2x^2 + 4x - 2
The general form of a quadratic function is --> y = ax2 + bx + c
-2 = a(0)2 + b(0) + c
-2 = 0 + 0 + c
-2 = c
substitute c value
(-1 , -8) substitute
-8 = a ( -1 )2 + b ( -1 ) - 2
-8 = a - b - 2
-6 = a - b
( 3 , -8)
-8 = a ( 3 )2 + b ( 3 ) - 2
-8 = 9a + 3b - 2
-6 = 9a + 3b
a - b = -6
9a + 3b = -6
on solving :
9 ( b - 6 ) + 3b = -6
9b - 54 + 3b = -6
12b - 54 = -6
12b = 48
b = 4
a - 4 = -6
a = -2
The quadratic equation for this table is y = -2x^2 + 4x - 2
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Full question:
set up the systems of eqautions to solve for this quadratic function to model the values in the table.
x | y
-1 | -8
0 | -2
3 | -8
Which of the following statements is TRUE? O a. If f(a) and g(x) are differentiable functions defined on the closed interval [a, b], and f(x) attains its global maximum at x = c and g(x) attains its global maximum at x = d, then the function f(x) · g(x) attains its global maximum on [a, b] at x = cºd. O b. All of the statements are false. a O c. Every local maximum is a global maximum d. The global maximum value of a differentiable function f(x) on a closed interval (a, b) must occur at a critical value or an endpoint e. The critical points of f'(2) are same as the critical points of f(x)
Answers
ANSWER
c
It is c because i did the work and i know.
a line is perpendicular to y= "-2x+5" and intersects at the point (-4,2). what is the equation of this perpendicular line
Answers
Answer:
y=(1/2)x-1
Step-by-step explanation:
Since you know that this line is perpendicular to the given equation, you also know that the slope of the line will be the opposite reciprocal to that of the given equation. Therefore:
slope= 1/2
Now, since you also know that the lines intersect at the point (-4,2), you just have to plug these numbers into the x and y in the equation to solve for b.
(2)=(1/2)(-4)+b
b=-1
Therefore, the equation is
y=(1/2)x-1
Find two numbers m and n such that m+n =5 and mn=4
Answers
m+n = 5
4+1 = 5
mn = 4
(4)(1) = 4
m+n, or in this case:
4+1
is equal to 5
mn or
4•1=4
So, the 2 numbers could be 4 and 1
A car that travels 20 miles in 1/2 hour at constant speed is traveling at the same speed as a car that travels 30 miles. In how many hours (at a constant speed)
Answers
The required time to travel 30 miles is given as 45 minutes and 3/4 hours.
Given that,
A car that travels 20 miles in 1/2 hour at constant speed is traveling at the same speed as a car that travels 30 miles.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Speed = Distance/time
Speed = 20 / [1/2]
Speed = 40 miles per hour,
Time = Distance / Speed
Time = 30 / 40
Time = 3 / 4 hour
Thus, the required time to travel 30 miles is given as 45 minutes and 3/4 hours.
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design and implement (i.e., write a program) an algorithm based on text matching that adds two polynomials such as (x**3 5x**2 -3x 3) (4x**5 - 2x**2 1) place the theta value of your algorithm as the first comment in the code. submit several challenging test cases.
Answers
An algorithm is a collection of clear instructions for solving a specific issue in computer programming.
What is algorithm?An algorithm is a collection of clear instructions for solving a specific issue in computer programming. It generates the required result from a collection of inputs. For instance, An equation for adding two numbers: Take two inputs for numbers.But this is the clearest explanation possible: An algorithm is a list of rules outlining how to carry out a task.For conducting computations and processing data, algorithms are employed as specifications. Advanced algorithms can do automated deductions (also known as automated reasoning) and employ logical and mathematical checks to reroute the execution of the code along several paths (referred to as automated decision-making).Step 1: Start
Step 2: Declare variables num1, num2 and sum.
Step 3: Read values num1 and num2.
Step 4: Add num1 and num2 and assign the result to sum.
sum←num1+num2
Step 5: Display sum
Step 6: Stop
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Select all of the following equation(s) that are quadratic in form. x4 – 6x2 – 27 = 0 3x4 = 2x 2(x + 5)4 + 2x2 + 5 = 0 6(2x + 4)2 = (2x + 4) + 2 6x4 = -x2 + 5 8x4 + 2x2 – 4x = 0
Answers
The correct answer is option is a) x4 – 6x2 – 27 = 0 , d) 6(2x + 4)2 = (2x + 4) + 2 , e) 6x4 = -x2 + 5. as they are quadratic equations.
What are quadratic equations?A quadratic equation is a second-order polynomial equation in one variable using the formula x = ax2 + bx + c = 0 and a 0. The fundamental theorem of algebra ensures that it has at least one solution because it is a second-order polynomial problem. The answer could be straightforward or difficult.
How do you identify a quadratic equation?A quadratic function has the formula f(x) = ax2 + bx + c, with a, b, and c being integers and a not equal to zero. A parabola is a curve that represents the graph of a quadratic function. Parabolas can have openings that are upward or downward, different "widths" or "steepnesses," but they all share the same fundamental "U" form.
What is not quadratic equation?Due to the absence of an x2 component, bx 6 = 0 is NOT a quadratic equation. Because there is an x3 term, x3 x2 5 = 0 is NOT a quadratic equation (not allowed in quadratic equations).
The correct answer is option is a) x4 – 6x2 – 27 = 0 , d) 6(2x + 4)2 = (2x + 4) + 2 , e) 6x4 = -x2 + 5.
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for each of the three plots, identify the strength of the relationship (e.g. weak, moderate, or strong) in the data and whether fitting a linear model would be reasonable.
Answers
These following answers are correct
We are given residual plots
In given(a) plot there is weak relationship between scatter points
we see curved relationship in this residual plot therefore model is unreasonable .
Note - This model is reasonable when this plot should look approximately normal and scatterplot of residuals should show random
scatter. In these plots we see weak relationship and line as model is unreasonable
2)We are given residual plot.
Given 2nd (c) plot there is strong relationship between scatter points we see positive straigh line relationship in this plot therefore model is resonable.
Also these model look approximately normal land scatterplot of residuals show random scatter.
In these plot we see strong relationship and linear model is reasonable
Therefore, these statements are correct.
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If a city’s maximum temperature was 42 degrees and the minimum was 9 degrees, what is the difference between the two temperatures?
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The difference between the two temperatures is 33 degrees.
How to find the difference between the two temperatures?The city's maximum temperature was 42 degrees and the minimum was 9 degrees.
The difference between the two temperatures can be calculated as follows;
The difference in temperature is the subtraction of the minimum temperature from the maximum temperature.
Therefore,
difference between the temperature = maximum temperature - minimum temperature
maximum temperature = 42 degrees
minimum temperature = 9 degrees
Hence,
difference between the temperature = 42 - 9
difference between the temperature = 33 degrees.
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An experiment has been conducted for four treatments with eight blocks. Complete the following analysis of variance table (to 2 decimals, if necessary). Source of Variation Sum of Squares Degrees of Freedom Mean Square F Treatments 900 Blocks 400 Error Total 1800 Use A = .05 to test for any significant differences. The p-value is ? What is your conclusion?
Answers
The p value is greater than α.
Hence we made a conclusion that:
There is a significant difference between treatments.
There is no significant difference between treatments.
Given:
An experiment has been conducted for four treatments with eight blocks.
Source of Variation Sum of Squares Degrees of Freedom Mean Square F Treatments 900 Blocks 400 Error Total 1800 Use A = .05 to test for any significant differences.
we are asked to find:
The p-value is = ?
What is your conclusion = ?
P value of treatments = 0.0001
Hence p value is less than α = 0.05
so we reject H₀
P value for blocks = 0.0650
Hence p value is greater than α = 0.05
so we fail to reject H₀
Conclusion:
There is a significant difference between treatments.
There is no significant difference between treatments.
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Question 16 An individual works at a pet store. There are 15 dogs up for adoption. At the end of the day, only 4 were not adopted. What is the percentage of dogs that were adopted? WAKALPOPÕE 20
Answers
Answer:
73.3%
Step-by-step explanation:
You want to know the percentage adopted when 4 of 15 were not adopted.
PercentageThe percentage can be found by multiplying the fraction by 100%. The fraction of dogs adopted was 11 out of 15, or 11/15. The percentage is ...
11/15 × 100% ≈ 73.3%
About 73.3% of the dogs were adopted.
10 pi is = to what
Answers
The value of the expression given as 10pi is 31.42
What is the value of the expression illustrated?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.
It should be noted that the value of pi is 3.142.
Therefore, the value of 10 pi will be:.
= 10 × 3.142
= 31.42
The value is 31.42.
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Use the equations for the total cost C and total revenue R to find the number x of units a company must sell to break even. (Round to the nearest whole unit.)
C = 2.5
x
+ 14,000, R = 6.23x
Answers
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The number of units to sell to break even is 3753.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
C = 2.5x + 14,000
R = 6.23x
Where,
C is the total cost.
R is the total revenue.
Now,
The number of x units a company must sell to break even.
2.5x + 14,000 = 6.23x
14000 = 6.23x - 2.5x
14000 = 3.73x
x = 14000 / 3.73
x = 3753
Thus,
The number of units to sell to break even is 3753.
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What is the GCF of 4 and 8 and 12?; What is the greatest factor of 8?; What is the greatest common factor of 4xy2 and 20x2y4?; How do you find the GCF?; What is the GCF of greatest?; What is the greatest common factor of 12a and 9a2?
Answers
The greatest common factor of 4, 8 and 12 is 4
The first number = 4
The second number = 8
The third number = 12
The GCF is stands for greatest common factor.
To find the greatest common factor use the prime factorization method
Prime factorization
Factorize the number 4 = 2 × 2
Factorize the number 8 = 2 × 2 × 2
Factorize the number 12 = 2 × 2 × 3
Here we have to take the common terms from the prime factorization
The greatest common factor = 2 × 2
Multiply the number
= 4
Therefore, the greatest common factor is 4
I have solved the question in general, as the given question is incomplete
The complete question is:
What is the GCF of 4 and 8 and 12?
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(9^x-4)(9^3x+2)=9^10
Answers
Answer: x=3
Step-by-step explanation:
[tex]\displaystyle\\(9^{x-4})(9^{3x+2})=9^{10}\\\\9^{x-4+3x+2}=9^{10}\\\\9^{4x-2}=9^{10}\\\\4x-2=10\\\\4x-2+2=10+2\\\\4x=12[/tex]
Divide both parts of the equation by 4:
[tex]x=3[/tex]
Which is correct Pemdas or Bodmas?
Answers
Both abbreviations are correct:
PEMDAS stands for:
ParenthesesExponentsMultiplicationDivisionAdditionSubtractionBODMAS stands for:
BracketsOrdersDivisionMultiplicationAdditionSubtractionWhich is correct: Pemdas or Bodmas?PEMDAS and BODMAS are both mathematical acronyms that are used to help people remember the order of operations when solving a math problem.
The order of operations should be followed when solving an equation because it ensures that the problem is solved correctly and accurately. It is important to remember that both acronyms represent the same order of operations, and that each step should be followed in the order given.
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PEMDAS stands for
Parenthesis
Exponents
Multiplication and Division
Addition and Subtraction
BODMAS stands for
Bracket
Orders
Division and Multiplication
Addition and Subtraction
Both of these are the same, just a different acronym and way of representing them.
In Norway last year, the lowest temperature was −15°C. In Norway last year, the highest temperature was 42°C greater than the lowest temperature. Work out the highest temperature in Norway last year
Answers
Answer:
27°
Step-by-step explanation:
Let h = highest temperature
h = -15 + 42
h = 27°
Find the area of this triangle. 30ft and 8ft.
Answers
Answer: 120 square feet
Step-by-step explanation:
Area formula of triangle:
(height of triangle x length) divided by 2
[tex]\frac{30*8}{2} =\frac{240}{2} =120[/tex]
Answer:
120 ft²
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{4 cm}\underline{Area of a triangle}\\\\$A=\dfrac{1}{2}bh$\\\\where:\\ \phantom{ww}$\bullet$ $b$ is the base. \\ \phantom{ww}$\bullet$ $h$ is the height.\\\end{minipage}}[/tex]
From inspection of the given triangle:
b = 30 fth = 8 ftSubstitute the given base and height into the formula to find the area of the triangle:
[tex]\implies A=\dfrac{1}{2} \cdot 30 \cdot 8[/tex]
[tex]\implies A=15 \cdot 8[/tex]
[tex]\implies A=120\; \sf ft^2[/tex]
Therefore, the area of the given triangle is 120 ft².
Writing equations of lines
Write the equation of each line with the given information
through: (-5, -3), perp. to y = -5/7x -5
Answers
Answer:
y = [tex]\frac{7}{5}[/tex] x + 4
Step-by-step explanation:
Perpendicular slopes are opposite reciprocals.
So the slope is 7/5
Us the slope and the point to find the y intercept
m = 7/5
x = -5
y = -3
y= mx + b
-3 = (7/5)(-5) + b
-3 = -7 + b Add 7 to both sides
4 = b
y = mx + b
y = 7/5 x + 4
Which sequence of transformations will result in an image that is similar to its pre image?
Answers
The sequence of transformation that produce similar image is (d) a dilation followed by a rotation
How to determine the sequence of transformationsTransformation involves changing the position and/or size of a figure.
There are four types of transformation, and they are:
DilationRotationReflectionTranslationThe representation of the types of transformation are:
Dilation: k(x, y)Rotation: rotation by anglesReflection: reflection across linesTranslation: (x + h, y + k)A dilation transformation would produce a similar image, while other transformation types would produce a congruent image
Hence, the sequence of transformation is (d)
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Renata is purchasing a condominium for $ 125,000. She wants to put down a down payment of 20%. Select all the true statements.
The proportion that represents the down payment is 20100=125,000
20
100
=
125
,
000
x
.
The down payment is $ 25,000
25
,
000
.
The proportion that represents the down payment is 20100=125,000
20
100
=
x
125
,
000
.
The down payment is $ 50,000
50
,
000
.
The down payment is 15
1
5
of the cost of the house.
Answers
Answer:
The following statements are true:
The proportion that represents the down payment is 20/100 = x/125,000.
The down payment is $25,000.
The down payment is 15 of the cost of the house.
The other statements are not true. The proportion that represents the down payment is not 20100=125,000, as this is not a valid proportion. Additionally, the down payment is not $50,000, as this is more than the cost of the condominium.
Step-by-step explanation:
