Answer:
y- intercept = - 26
Step-by-step explanation:
to find the y- intercept, obtain the equation of the line in slope- intercept form
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (34, - 52) and (x₂, y₂ ) = (68, - 78) ← 2 ordered pairs from the table
m = [tex]\frac{-78-(-52)}{68-34}[/tex] = [tex]\frac{-78+52}{34}[/tex] = [tex]\frac{-26}{34}[/tex] = - [tex]\frac{13}{17}[/tex] , then
y = - [tex]\frac{13}{17}[/tex] x + c
to find c substitute any of the ordered pairs into the equation and solve for c
using (51, - 65 ) , then
- 65 = - [tex]\frac{13}{17}[/tex] (51) + c = - 39 + c ( add 39 to both sides )
- 26 = c
then y- intercept = - 26
help me pls…. i really need it
Easy if writing/typing put P L S and an .
If speaking maybe instead say please
Which of the following are equivalent to
five quarts?
A 1 1/2-gallons
B 18 cups
C 160 ounces
D 32 tablespoons
Answer:
Step-by-step explanation:
5 quart to gallon is 1.25
5 quart to cup is 20
5 Quart to oz is 160
5 Quart to tablespoon is 320
Answer: C
Help me ASAP math question.
Jennifier was paid $1.49 for each shirt, $4.99 for each pair of slacks and $7.99 for each sports coat.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let x = shirts, y = slacks, z = sports coats.
Set up your systems of equations equations.
3x+2y=$14.45..(1)
6x+2y+z=$26.91...(2)
4x+2z=$21.94...(3)
From equation 2
$14.45+3x+z=$26.91
3x+z=12.46...(4)
Multiply equation 4 with 2
6x+2z=24.92..(5)
6x+2z-4x-2z=24.92-21.94
2x=2.98
Divide both sides by 2
x=$1.49
Now plug in x value in equation 1.
3(1.49)+2y=$14.45
4.47+2y=14.45
2y=9.98
Divide both sides by 2
y=$4.99
4x+2z=$21.94
4(1.49)+2z=21.94
5.96+2z=21.94
2z=21.94-5.96
2z=15.98
Divide both sides by 2
z=$7.99
Hence, Jennifier was paid $1.49 for each shirt, $4.99 for each pair of slacks and $7.99 for each sports coat.
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A tub has 50 small balls. Some balls are white, and summer orange. Without being able to see into the tub, each student in a class of 25 is allowed to pick a ball out of the tub at random. The color of the ball is recorded, and the ball is put back into the tub. At the end, seven orange balls and 18 white balls were picked. What is the best estimate you can give for the number of orange balls in the number of white balls in the tub? Describe how to calculate this best estimate, and explain why your method of calculation makes sense in a way that a seventh grader my understand. Is your best estimate necessarily accurate? Why or why not?
The best estimate we can give for the number of orange balls in the tub is 7, and the number of white balls in the tub is 43.
To calculate this, we take the number of orange balls picked (7) and divide it by the total number of balls picked (25) to get the proportion of orange balls in the tub. Then we multiply that proportion by the total number of balls in the tub (50) to get our estimate for the number of orange balls in the tub.
7 / 25 = 0.28
0.28 x 50 = 14
Similarly, we take the number of white balls picked (18) and divide it by the total number of balls picked (25) to get the proportion of white balls in the tub. Then we multiply that proportion by the total number of balls in the tub (50) to get our estimate for the number of white balls in the tub.
18 / 25 = 0.72
0.72 x 50 = 36
This method of calculation makes sense because it uses the data we have (the number of orange and white balls picked) to estimate the overall makeup of the tub. By using the proportion of orange and white balls picked, we can make an educated guess about how many of each color ball are in the tub without seeing it.
However, it's important to note that this best estimate is not necessarily accurate. The real number of orange and white balls in the tub could be different. The method used here is a probability method, it's best estimate based on the sample data. The sample data is based on a random selection of 25 balls, and the number of orange or white balls that would be picked could vary depending on the random draw. The more samples we take, the more accurate our estimate would be.
I got the 1st one, but I need help with the second one.
The ratio of rubies to diamonds is given as follows:
4.
How to obtain the ratio?The ratio between two amounts is obtained applying proportions, as the ratio between the amounts a and b is given by the division of a by b, as follows:
r = a/b.
The amounts in this problem are given as follows:
x rubies.y diamonds.The number of rubies is four times the number of diamonds, hence:
x = 4y.
Then the ratio between the number of rubies and the number of diamonds is given as follows:
r = 4y/y
r = 4.
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solve for all values of x x^2-2x-48=0
by completing the square
Answer: To solve for all values of x in the equation x^2 - 2x - 48 = 0 by completing the square, we can follow these steps:
Bring the x term to one side of the equation by adding 2x to both sides: x^2 - 2x = 48
Divide the coefficient of the x^2 term (which is 1) by 2 and square it to find the value to add to both sides of the equation to complete the square: (1/2)^2 = 1/4. Add 1/4 to both sides of the equation: x^2 - 2x + 1/4 = 48 + 1/4
Take the square root of both sides of the equation: (x - 1)^2 = 192 + 1
Solve for x by taking the square root of both sides of the equation: x - 1 = ± √193
Add 1 to both sides of the equation to find the values of x: x = 1 ± √193
So the solutions of the equation are x = 1 + √193 and x = 1 - √193
It is important to notice that these are the solutions in radical form, so they are not exact values of x.
Step-by-step explanation:
99 = 96 = 9[?] Enter the missing exponent.
which of the following conditions is/are not necessary to justify the use of t procedures in a significance test for the slope of a regression line? for each given value of x, the values of the response variable y are normally distributed. for each given value of x, the values of the response variable y are dependent. for each given value of x, the standard deviation of y is the same. i ii iii i and iii i and ii
The conditions that are required to validate the use of t for the significance test would be:
D). l and ll only
A response variable, also known as a dependent variable, is a variable that is being studied or measured in an experiment or statistical analysis. It is the outcome or output of the study, and its value is influenced by one or more predictor variables, also known as independent variables.
The goal of a study is often to understand how the response variable is affected by the predictor variables.
For example, in a medical study, the response variable might be the level of a certain protein in the blood, and the predictor variable might be the dosage of a new drug being tested.
In a marketing study, the response variable might be the number of units sold of a product, and the predictor variables might be the price of the product and the advertising budget.
Therefore, The conditions that are required to validate the use of t for the significance test would be:
D). l and ll only
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24. in problem 23, how many different paths are there from a to b that go through the point circled in the following lattice? b ross, sheldon. first course in probability, a (p. 17). pearson education. kindle edition.
Total 18 different paths are there from a to b that go through the point circled in the following lattice
In the given question, we have to find how many different paths are there from a to b that go through the point circled in the following lattice.
The diagram of the lattice is given below:
Therefore, we must first go from A to the encircled point.
We must travel 2 horizontally and 2 vertically to do that.
Now, to get to this point, we have ways = [tex]C_{2}^{4}[/tex] ways
Total ways to go from A to the encircled point = [tex]\frac{4!}{2!(4-2)!}[/tex]
Total ways to go from A to the encircled point = 6 ways
Additionally, we must travel 2 horizontal and 1 vertical units to get from the encircling point to B.
As a result, total ways to go from the encircling point to B = [tex]C^{3}_{1}[/tex]
Total ways to go from the encircling point to B = [tex]\frac{3!}{1!(3-1)!}[/tex]
Total ways to go from the encircling point to B = 3 ways
So, different paths are there from a to b = 6×3
Different paths are there from a to b = 18 ways
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3/5 ? 2/3
Which symbol makes the sentence true?
Responses
A <<
B ==
C >>
D ≥
Answer:
Choice A
Step-by-step explanation:
1/5 = 9/15
2/3 = 10/15
so 3/5 < 2/3
a manufacturer produces custom metal blanks that are used by its customers for computer-aided machining. the accompanying data (manufacturing.xlsx) were sampled from the accounting records of 40 orders filled during the previous three months. you are interested in formulating a multiple linear regression model with y as the average dollar cost per unit, x1 as the material cost per unit, and x2 as the labor hours per unit.
In JMP, open the data in Fit Model and choose scatterplot, and a residual usually looks like the scatterplot but more extended vertically.
(a): Yes, because there is not much of a trend in the data.
(b): The materials cost is a very small percentage of the average cost. It could be true that items that use fewer materials take more labor hours to make ready for the customer.
(c): chose a correct residual plot
In JMP, in the top red triangle, click on save columns, and then click on Residuals. Then go to the data table in JMP and in Graph, press GRAPH BUILDER... put residuals on y and # of labor hours on x
As the number of labor hours increases, the residual values from the regression also tend to increase, suggesting that the labor input is a lurking variable.
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let f be a function defined on the closed interval -5 find all values x at which f has a relative maximum. justify your answer
The values for x at which f has a relative maximum are -3 and 4.
A relative maximum is a point on a function where the function has the highest value within a certain interval or region. It is a local maximum, meaning that it is the highest value within a certain interval, but it may not be the highest value overall.
For example, a function may have multiple relative maxima but only one global maximum.
It's important to note that a relative maximum is not always an actual maximum, it's only a maximum in a specific interval or region of the function.
It's also important to note that for some functions, there might not be any relative maximum in the interval or domain where the function is defined, and for others, it might have a relative maximum at the endpoint of the interval.
On plotting the zeroes of the f(x) on the number line we observe the value of the derivative of f(x) changes from positive to negative indicating points of relative maximum.
Therefore, The values for x at which f has a relative maximum are -3 and 4.
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What is the value please help me do this I’ll put brainliest for the first person to answer it correctly
The square root of 6^2 (√6²) is 6.
What is square root?
Square root of a number is a value, which on multiplication by itself, gives the original number. The square root is an inverse method of squaring a number. Hence, squares and square roots are related concepts.
Suppose x is the square root of y, then it is represented as x=√y, or we can express the same equation as x^2 = y. Here, ‘√’ is the radical symbol used to represent the root of numbers. The positive number, when multiplied by itself, represents the square of the number. The square root of the square of a positive number gives the original number.
For example, the square of 3 is 9, 32 = 9 and the square root of 9, √9 = 3. Since 9 is a perfect square, hence it is easy to find the square root. But for an imperfect square like 3, 7, 5, etc., we have to use different methods to find the square root.
Now ,
given expression √6²
=√36
square root value of √6² =6
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The square root of 6^2 (√6²) is 6.
What is square root?
Square root of a number is a value, which on multiplication by itself, gives the original number. The square root is an inverse method of squaring a number. Hence, squares and square roots are related concepts.
Suppose x is the square root of y, then it is represented as x=√y, or we can express the same equation as x^2 = y. Here, ‘√’ is the radical symbol used to represent the root of numbers. The positive number, when multiplied by itself, represents the square of the number. The square root of the square of a positive number gives the original number.
For example, the square of 3 is 9, 32 = 9 and the square root of 9, √9 = 3. Since 9 is a perfect square, hence it is easy to find the square root. But for an imperfect square like 3, 7, 5, etc., we have to use different methods to find the square root.
Now ,
given expression √6²
=√36
square root value of √6² =6
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f(3)=
Slove f(×)=3
×=
The solution for f(3) in the function is -7772
How to determine the solution for f(x) in the function?From the question, we have the following equation that can be used in our computation:
f(x) = 4 − (x + 3)⁵
Also from the question, we have
f(3)
This means that the value of x is 3, and we calculate f(x) when x = 3
Substitute the known values in the above equation, so, we have the following representation
f(3) = 4 − (3 + 3)⁵
Evaluate
f(3) = −7772
Hence, the solution is −7772
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Complete question
Given f ( x ) = 4 − ( x + 3 )^5, find f(3).
The area of the rectangle is 10 5/6in squared. The height is 4 1/3in. What is the length of the base
The length of the base is equal to 13 inches.
How to calculate the area of a rectangle?Mathematically, the area of a rectangle can be calculated by using this formula:
A = LW
Where:
A represents the area of a rectangle.W represents the width or base of a rectangle.L represents the length or height of a rectangle.Substituting the given points into the area of rectangle formula, we have the following;
10 5/6 = 4 1/3 × base
65/5 = 13/3b
Length of the base, b = 65/5 ÷ 13/3
Length of the base, b = 65/5 × 3/13
Length of the base, b = 195/65
Length of the base, b = 13 inches.
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Given that x, y, and z are real numbers that satisfy:and that x+y+z = \frac{m}{\sqrt{n}}, where m and n are positive integers and n is not divisible by the square of any prime, find m+n.
m+n is equal to (x+y+z)^2 + n x, y, and z are real numbers.
First, we can rewrite x+y+z as n(x+y+z)^2.
Then, we can substitute x^2+y^2+z^2 into the equation and solve for m^2. We get m^2 = (x+y+z)^3 - 3xyz, which can be simplified to
m^2 = (x+y+z)(x^2+y^2+z^2-xyz).
We can substitute the original equation back in to get
m^2 = (x+y+z)\frac{m^2}{n}.
Then, we can divide both sides of the equation by (x+y+z) to get m^2 = \frac{m^2}{n}. Finally, we can solve for m+n by multiplying both sides of the equation by n, which gives us m+n = m^2.
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if mp = 6x - 5, QR = 3x + 1, and RN=6, what is QN?
QN is the answer to the equation that results from combining the slopes and y-intercepts of the equations MP and QR.
If mp = 6x - 5, QR = 3x + 1, and RN=6, what is QN?QN is the answer to the equation that results from combining the slopes and y-intercepts of the equations MP and QR. In this problem, the slope of MP is 6 and the y-intercept is -5.The slope of QR is 3 and the y-intercept is 1. To find QN, we need to combine these equations by substituting the known variables. We start by replacing the x in the MP equation with the QR equation. This gives us 6(3x + 1) – 5 = 6(3x + 1) - 5.We can then simplify this equation to 18x + 6 – 5 = 18x + 1. If we subtract 18x from both sides, we get 6 – 5 = 1. Finally, if we add 5 to both sides, we get 11 = 6. Therefore, our answer is QN = 11. To check our answer, we can plug our value of 11 into the QR equation. 3(11) + 1 = 34 + 1 = 35, which is equal to the RN value of 6.To learn more about system of linear equations refer to:
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An insurance company determines that N, the number of claims received in a week, is a random variable with P[N = n] = 1/2n+1, where n > 0 . The company also determines that the number of claims received in a given week is independent of the number of claims received in any other week.
The probability that exactly seven claims will be received during a given two-week period=1/64.
Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty. For pupils in Class 10, probability is a crucial subject because it teaches all the fundamental ideas of the subject. One is the probability of every event in a sample space.
An insurance company determines that N, the number of claims received in a week, is a random variable with P[N = n] = 1/2n+1, where n > 0 .
Let N1 and N2 represent the number of claims during weeks one and two, respectively,
then since N1 and N2 are independent.
[tex]Pr[N_1+N_2=7]=\sum_{n=0}^7Pr[N1=n]Pr[N2=7-n]\\\\=\sum_{n=0}^7\frac{1}{2^{n+1}}\frac{1}{2^{8-n}}\\\\=\sum_{n=0}^7\frac{1}{2^{9}}\\\\=\frac{8}{2^9}=\frac{1}{64}[/tex]
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find the value of x to the nearest kilometer
x
21.5km
27km
a: 2km
b: 7km
c: 16km
d: 267km
Answer:
C 16 km
Step-by-step explanation:
Pythagoras
c² = a² + b²
c being the Hypotenuse (the side opposite of the 90° angle), a and b are the legs.
in our case that is
27² = 21.5² + x²
729 = 462.25 + x²
x² = 266.75
x = sqrt(266.75) = 16.33248297... km ≈ 16 km
Solve for x and graph the solution on the number line below.
The solution of the inequality is 8 ≥ x or x > 10. The graph of the solution is attached
How to solve for x and graph the solution on the number line?An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value e.g. 5 < 6, x ≥ 2, etc.
Solving for x:
11≥ 2x - 5 or 2x - 5 > 15
Collect like terms:
11 + 5 ≥ 2x or 2x > 15 + 5
16 ≥ 2x or 2x > 20
8 ≥ x or x > 10
Note: 8 ≥ x can also be written as x ≤ 8
We can combine the two as follow:
Inequality notation: 8 ≥ x > 10
The graph of the solution is attached
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In the expression n + 23 ,23 is a
In the expression n + 23 ,23 is a constant because it contains two part and other part is variable.
What is algebraic equation?The concept that will be used here is algebraic equation, The term "algebraic equation" refers to a formulation of the equality of two expressions using the algebraic operations of addition, subtraction, multiplication, division, raising to a power, and extraction of a root on a set of variables. One example is x3 + 1.
We were given n + 23
n is the dependent variables which changes with the input.
23 is the constant that never changes.
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you run 10 miles in 12 days. Your goal is to run a total of 25 miles in 30 days. Are you on track to meet your goal? Explain.
Answer:
yes u would be on track.
Step-by-step explanation:
yes; 10 miles in 12 days is equivalent to 10 ÷ 2 = 5 miles in 12 ÷ 2 = 6 days.
:o)
Is the relation in this set of points a function?
{(2,-3), (3,-3), (1,4), (9,2)}
This is a function
This is not a function
Answer: this is a function since there is only one value of y for every value of
Step-by-step explanation:
Write an equation of the line that passes through the point (1,5) and is (a) parallel to the line y=3x-5 and (b) perpendicular to the line y=3x-5
Equation of parallel line = y = 3x + 2 and equation of perpendicular line 3y = -x + 16, passing through the point (1,5).
(a) To find an equation of the line that passes through the point (1,5) and is parallel to the line y = 3x - 5, we need to use the slope of the given line. The slope of a line is represented by m and it is equal to the coefficient of x. In this case, the slope of the line y = 3x - 5 is 3.
Therefore, the slope of the line that is parallel to y = 3x - 5 is also 3.
We can use the point-slope form of a line, which is:
y - y1 = m(x - x1)
Where (x1, y1) is a point on the line and m is the slope.
Substituting the given point (1, 5) and the slope of 3, we get:
y - 5 = 3(x - 1)
Simplifying the equation, we get:
y = 3x + 2
So, the equation of the line that passes through the point (1, 5) and is parallel to the line y = 3x - 5 is y = 3x + 2
(b) To find the slope of a line that is perpendicular to the line y = 3x - 5, we need to take the negative reciprocal of the slope. The negative reciprocal of 3 is -1/3. So, the slope of a line that is perpendicular to y = 3x - 5 is -1/3
We can use the point-slope form of a line, which is:
y - y1 = m(x - x1)
Where (x1, y1) is a point on the line and m is the slope.
Substituting the given point (1, 5) and the slope of -1/3, we get:
y - 5 = -1/3(x - 1)
Simplifying the equation, we get:
3(y - 5) = -x + 1
3y = -x + 16
So, the equation of the line that passes through the point (1, 5) and is perpendicular to the line y = 3x - 5 is 3y = -x + 16
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if f(x)=x^2 +2x - 10, what is f(-2)
Answer:
f(-2)=14
Step-by-step explanation:
f(x)=x^2 +2x - 10 and f=(-2)
f(-2)=-2^2 +2(-2) - 10
4+0+10
14
f(-2)=14
:)
Can someone help me with this question, Solve for "X"
Answer:
[tex]x = 2 \: and \\ y = 5[/tex]
Step-by-step explanation:
greetings!!!
look at the attachment above
Hope it helps!!!
Solve system of equations for unknown variables. X+y=21
We can only say that X+y=21 is a true statement for any values of X and y that satisfy this equation.
What do you mean by Elimination?In mathematics, elimination is the process of solving a system of equations by eliminating variables. Elimination involves two steps: first, a variable is chosen to be eliminated and then the coefficients of the variable are used to modify the remaining equations so that they contain only the other variables.
To solve for the unknown variables, we can use the following methods:
Graphing: We can graph the equation on a coordinate plane by plotting the line of the equation. The point of intersection of the line with the x and y-axis represents the solution of the system of equations.
Substitution: We can solve for one variable in terms of the other by isolating one variable and substituting it into the other equation.
Elimination: We can eliminate one variable by adding or subtracting the equations to eliminate one of the variables.
In this case, we don't have any other equation to solve the system, so we can not find a unique solution, we can only say that X+y=21 is a true statement for any values of X and y that satisfy this equation.
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Lorinda has started to think about saving for retirement. She reads a recommendation that says she should
save at least 3/10 of her income because she is over 40 years old. Lorinda makes $58,000 a year. How much
should she save in one year according to this recommendation?
The amount to save according to the recommendation of 3/10 of income is $17400.
What are fractions?In mathematics, a fraction is used to denote a portion or component of the whole. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, and the denominator is the number at the bottom. The denominator specifies the total number of equal parts in the whole, whereas the numerator specifies the number of equal parts that were taken.
Given that the amount made in a year is $58,000.
The recommended savings is 3/10 thus:
(58000) (3/10) = 17400
Hence, according to the recommendation the amount that needs to be saved in one year is, $17400.
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Which inequality is graphed below?
-6
-5
Ox≤-2
Ο x > - 2
Stry
x < -2
Ox>-2
-2
The inequality graphed on the number line is the one on the fourth option, we will get:
x > -2
Which inequality is graphed on the number line?On the number line we can see that we have an open circle at x = -2 (that means that x = -2 is not a solution to the inequality) and then a line that extends to the right side of that value.
Then the inequality is just the set of all numbers larger than -2, then we will get:
x > -2
That is the graphed inequality, and thus, the correct option is the last one.
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Determine what the key terms refer to in the following study A study was conducted in a local community to analyze which voters would be likely to vote and how on an (____) Variable (____) Sample (____) Population
(____) Statistic (____) Parameter (____) Data a. voted, didn't vote, voted
b. a group of voters in the community who voted, randomly selected
c. the number of eligible voters who actually plan to vote d. the number of eligible voters in the study who actually plan to vote e. the attendance of a single voter f all eligible voters in the comunity
To determine the key terms refer to in the following conducted study in a local community will be as follows:
a. voted, didn't vote, voted will be variable.
b. a group of voters in the community who voted, randomly selected will be sample.
c. the number of eligible voters who actually plan to vote will be population.
d. the number of eligible voters in the study who actually plan to vote statistic.
e. the attendance of a single voter will be data
f. all eligible voters in the comunity will be parameter.
Any quantity calculated from sample values and taken into consideration for statistical purposes is referred to as a statistic (singular) or sample statistic. A population parameter estimate, a sample description, or a hypothesis evaluation are examples of statistical purposes. Statistics are expressed as the average (or mean) of sample values.
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