Use the values provided to calculate each of missing values (need to answer questions a-c pics attached)
Answers
b) The general point-slope equation of a line is:
\(y=m\cdot(x-x_1)+y_1._{}\)Where:
• (x1, y1) is a point of the line,
,• m is the slope, given by:
\(m=\frac{y_2-y_1}{x_2-x_1},\)where (x1, y1) and (x2, y2) are two points of the line.
From the table, we have the points:
• (x1, y1) = (5.3, 17.46),
,• (x2, y2) = (5.9, 17.70).
Replacing these values in the equation of the slope, we get:
\(m=\frac{17.70-17.46}{5.9-5.3}=\frac{0.24}{0.6}=0.4.\)Replacing m = 0.4 and (x1, y1) = (5.3, 17.46) in the general equation of the line, we get:
\(y=0.4\cdot(x-5.3)+17.46=0.4x-0.4\cdot5.3+17.46=0.4x+15.34.\)The equation of the line is:
\(y=0.4x+15.34.\)a) Using the equation of the line, we compute the blank values of y:
\(\begin{gathered} x=5.6\rightarrow y=0.4\cdot5.6+15.34=17.58, \\ x=6.3\rightarrow y=0.4\cdot6.3+15.34=17.86, \\ x=8.3\rightarrow y=0.4\cdot8.3+15.34=18.66. \end{gathered}\)Replacing the value y = 18.00 in the equation of the line and solving for x, we get:
\(\begin{gathered} 18.00=0.4x+15.34, \\ 0.4x=18.00-15.34, \\ 0.4x=2.66, \\ x=\frac{2.66}{0.4}=6.65. \end{gathered}\)Answer
a) Table
• x = 5.6, y = ,17.58
,• x = 6.3, y = ,17.86
,• x = ,6.65,, y = 18.00
,• x = 8.3, y = ,18.66
b) Equation of the line
y = 0.4x + 15.34
c) These values are the same as the ones in part (a)
Related Questions
Complete the table below.
4.208
Whole
Numbers
Integers
Rational
Numbers
Answers
The whole number in 4.208 is 4 and rational number is \(\frac{4208}{1000}\)
What is a reasonable, entire, integer number?Positive integers and 0 are examples of whole numbers in mathematics. It is a collection of natural numbers and 0, in other words. Whole numbers do not include fractions, negative integers, or decimals.
Any number that can be expressed as a fraction and where the denominator (the bottom number) and the numerator (the top number) are both integers is considered a rational number. In other words, p/q, where p and q are both integers and q 0, can be used to represent a rational number. Given the number 4.208,where the whole number is equal to 4, the rational number is \(frac42081000\). Since all decimal numbers are not integers, the provided number is not an integer.
Therefore, the rational number is \(frac42081000\) and the whole number in 4.208 is 4.
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If a normal distribution has a mean of 154 and a standard deviation of 15,
what is the value that has a z-score of 1.6?
Answers
Answer:
The correct answer is - 178.
Step-by-step explanation:
The standard deviation is a measure of the amount of dispersion in a set of values.
Given:
Mean of a normal distribution (m) = 154
Standard deviation (s) = 15
z-score = 1.6
Solution:
To find: value (x) that has a z-score of 1.6
z-score is given by = x-u/15
1.6*15 = x-154
=> 154+24 = x
x = 178
The square below represents one whole.
Express the shaded area as a fraction, a decimal, and a percent of the whole.
Fraction:
Decimal:
Percent:
Answers
Answer:
Fraction: 9/10
Decimal: 0.9
Percent: 90%
Given that A, O & B lie on a straight line segment, evaluate the size of the smallest angle. The diagram is not drawn to scale.
answer today plsssss
Answers
The evaluated value of x from the line geometry given is 36.
Lines and anglesAn angle is the point where two lines meet. From the given diagram, the sum of the angles on the line is 180 degrees.
Take the sum to have
x + 3x + x = 180
Simplify
4x + x = 180
5x = 180
Divide both sides by 5
5x/5 = 180/5
x = 36
Hence the value of x from the diagram is 36
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select the correct answer from each drop down menu.  quadrilateral abcd is a parallelogram. complete the statements to prove that ab =cd and bc = ad
Answers
Due to the fact that the numbers 4 and 5 both refer to comparable triangles, the correct quadrilateral ABCD is a parallelogram.
What does a quadrilateral mean?The polygon consists of four vertices and four sides. Angles add up to 360. A form of quadrilateral with equal and parallel opposite sides is a parallelogram.
Given
A parallelogram is an ABCD quadrilateral.
Both AB and BC are parallel to CD and AD, respectively.
Consequently, it is a parallelogram's condition.
A form of quadrilateral with equal and parallel opposite sides is a parallelogram.
Here, CAB and ACD are congruent, and BCA and CAD are congruent.
Then ABC is comparable to ADC, CAB is to ACD, and BCA is to CAD.
Then ABC is comparable to ADC.
Yet AC is AC.
ADC and ABC are then congruent.
As a result, for the equivalent triangle, 4 and 5 have the same significance.
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Some triangles can have more than one right angle true or false
Answers
Answer:
False
Step-by-step explanation:
Since a triangle must contain 3 interior angles all adding to 180°, then there can't be more than one right angle since 2 right angles would add up to 180°.
The probability mass function of X is f(x)= 1/6, x 1.2...,6 then find out the value
of mean and standard deviation.
Answers
For the given probability mass function of X, the mean is 3.5 and the standard deviation is 1.708.
A discrete random variable X's probability mass function (PMF) is a function over its sample space that estimates the likelihood that X will have a given value. f(x)=P[X=x]. The total of all potential values for a random variable X, weighted by their relative probabilities, is known as the mean (or expected value E[X]) of that variable. Mean(μ) = 1(1/6) + 2(1/6) + 3(1/6) + 4(1/6) + 5(1/6) + 6(1/6).Mean(μ) = (1+2+3+4+5+6)/6Mean(μ) = 21/6Mean(μ) = 3.5The square root of the variance of a random variable, sample, statistical population, data collection, or probability distribution represents its standard deviation. It is denoted by 'σ'. A random variable's variance (or Var[X]) is a measurement of the range of potential values. It is, by definition, the squared expectation of the distance between X and μ. It is denoted by 'σ²'. σ² = E[X²]−μ²σ² = [1²(1/6) + 2²(1/6) + 3²(1/6) + 4²(1/6) + 5²(1/6) + 6²(1/6)] - (3.5)²σ² = [(1² + 2²+ 3² + 4²+ 5²+ 6²)/6] - (3.5)²σ² = [(1 + 4 + 9 + 16 + 25 + 36)/6] - (3.5)²σ² = (91/6) - (3.5)²σ² = 15.167-12.25σ² = 2.917σ = √2.917Standard deviation (σ) = 1.708To learn more about variance, visit :
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please help asap (answer only if you know the question)
Answers
The Equation of bisector 5x-7y+3=0 which is a straight line.
What is bisector?A straight line that divides an angle of a triangle in equal value.
What is perpendicular bisector?The line that lies perpendicular to a side and goes through the midpoint of its length.
Given, coordinate H (-7,2), K (3, -4) and L (5,4)
we plot a triangle HKL with this point.
midpoint of side HK is found by (-7+3)/2 and (2-4)/2
hence, midpoint of HK is (-2,-1) is denoted by P
the perpendicular bisector of side HK means a straight line from the midpoint of HK to the point L(5,4). The bisector line PL divide the angle HLK.
so, the equation of bisector is y-y₁ = (y₂-y₁)/(x₂-x₁)[x-x₁] because the bisector line passes through the point P(-2,-1) and L(5,4)
y-(-1) = [4-(-1)]/[5-(-2)]× [x-(-2)]
y+1 = 5/7×(x+2)
7y+7= 5x+10
5x-7y+3=0
hence, the equation of bisector is 5x-7y+3=0
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PLZ HELP ME ILL MARK BRAINLIETS
Answers
(6, -1) translate
8 units to the right 7 units down
Answers
Step-by-step explanation:
স্বদেশী আন্দোলনৰ তিনি টা অৱদান উল্লেখ কৰা
Answer:
(14,-8)
Step-by-step explanation:
Given (6,-1),
Translating (6,-1) 8 units right and 7 units down,
(6,-1)
=(6+8,-1-7)
=(14,-8)
Please mark brainliest.
ANSWER ASAP:
Shayla wants to buy some CDs that each cost $14 and a DVD that costs
$23. She has $65 that she is able to spend. Which equation can be used to
determine how many CDs Shayla could buy?
Answers
65 is the total money
23 is with the dvd
14 is how many she can buy
3x + 3 = 3y + 6
What is the value of x?
A : x=3y + 9
B : x= y + 1
C : x= y + 3
D : x= 3y + 3
Answers
The value of x in the expression is y + 3
How to calculate the value of x?The expression given is written as
3x + 3= 3y + 6
collect the like terms
3x - 3y= 6-3
3x - 3y= 3
3x= 3 + 3y
x= 3 + 3y/3
x= 3 + y
x= y + 3
Hence the value of x in the expression is y + 3
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Consider the function y = √4-x.
What are the domain and range of this function?
Answers
Answer:
For the function y = √4-x, we know that the value inside the square root must be non-negative. Therefore, we have the inequality:
4 - x ≥ 0
Solving for x, we get:
x ≤ 4
So the domain of the function is all real numbers less than or equal to 4.
For the range, we know that the square root of any non-negative number is always non-negative. Therefore, the smallest value that y can take is 0, which occurs when x = 4. As x decreases, y increases without bound. So the range of the function is [0,∞).
Step-by-step explanation:
The cities M, N, and O, in respective order, lie approximately in a straight line. The distance from city M to city N is 45 miles. The distance from city M to city O is 50 miles. Find the distance from city N to city O.
Answers
Answer:
Should be option B
Step-by-step explanation:
The guy above me is wrong for expo use the formula y=a(b)^x
Answer:
when I did this it was B for the answer have a nice day (•‿•)
Write an equation in slope-intercept form for the line that satisfies each set of conditions.
parallel to y=2/3x - 10, x intercept at 9
Answers
Answer: Y= 2/3x + 9
Explanation: The equation is in slope-intercept form, y=mx+b. Since it is parallel to the equation, it has the same slope (2/3x) and since b is the x intercept, b is 9.
The equation in slope-intercept form for the line that is parallel to y=(2/3)x-10 and x-intercept at 9 is y =
What is a Linear Equation of a line?
A linear equation is an algebraic equation of the form y=m x + b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept
Parallel lines have the same slope.
Given data ,
The x-intercept is obtained when we set the value y = 0
As the x-intercept is 9 , therefore the point representing the x-intercept will be: ( 9 , 0 )
Now , the equation of line is given by y = m x + c
And , y = ( 2 / 3 ) x - 10
Since the lines are parallel , they will have same slope
So , the equation in slope intercept for the line will be
y = ( 2 / 3 ) x + 9
Hence the equation of line will be y = ( 2 / 3 ) x + 9
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Simplify:
1) (3x2y3)2
Answers
Answer:
6x²y³ I think n hope it's right
Select the point that satisfies ys x2 - 4x + 2.
O A. (2, 2)
O B. (1,1)
C. (5,5)
O D. (4,4)
Answers
Answer:
A
Step-by-step explanation:
The perimeter of a rectangle is 26 inches. If the width of the rectangles 5 inches what is the area of the rectangle
Answers
Answer:
40in²
Step-by-step explanation:
Area= length × width
(26-5-5)in = 16 in
16 in ÷ 2= 8in (length)
8in×5in= 40in²
PLEASE HELP IN THE NEXT 15 MINUTES!!!!!!!!!!
The Cross Bayou Bridge in Shreveport, Louisiana has trusses that form triangles. The exterior angle of one triangle has a measure of (5 - 3)°. If the two nonadiacent interior angles of the triangle are 43° and (3x)°, what is the value of the exterior angle, in degrees?
Answers
The exterior angle of the triangle is 62°.
What is triangle?
A triangle is a form of polygon with three sides; the intersection of the two longest sides is known as the triangle's vertex. There is an angle created between two sides. One of the crucial elements of geometry is this.
Certain fundamental ideas, including the Pythagorean theorem and trigonometry, rely on the characteristics of triangles. The angles and sides of a triangle determine its kind.
Let us take the triangle as ABC.
Here \(m\angle C\)= 180-(5x-3)° [Because straight line angle is 180°].
We know that sum of all angles in triangle is add upto 180° Then,
=> \(m\angle A+m\angle B+m\angle C\)=180
=> 43°+3x°+180-5x+3=180°
=> -2x=180-180-43-3
=> -2x=-46
=> x=13°
Now exterior angle ,
=> 5x-3
=> 5*13-3
=> 65-3
=> 62°
Hence the exterior angle of the triangle is 62°.
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There are four rational numbers which are listed smallest to largest, A, B, C, and D. If the numbers are 5/3 7/15 6/10 and 25/5 , identify which is A, which is B, which is C, and which is D. brainly
Answers
The rational numbers are given as follows:
A = 7/15.B = 6/10.C = 5/3.D = 25/5.How to order the rational numbers?To order the rational numbers, we must convert the fractions to decimal, dividing the numerator of the fraction by the denominator.
The conversion of each number is given as follows:
5/3 = 1.67.7/15 = 0.47.6/10 = 0.6.25/5 = 5.Hence they are ordered as follows:
7/15, 6/10, 5/3, 25/5.
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2x + 9 - 4(x+1) = 5x + 8
Answers
I hope this helps you
2x+9-4x-4=5x+8
9-4-8=5x+4x-2x
-3=7x
x=-3/7
Answer:
x= 3/7
hope this help sorry if im wrong
what is the property of 3x(5x7)=(3x5)7
Answers
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.
4, 12, 36,what is 3 other remaining sequence
Answers
Answer:
108, 324, 972
Step-by-step explanation:
This sequence is multiplying by ✖️3.
4✖️3=12✖️3=36✖️3=108✖️3=324✖️3=972
Hope this helps!
A frame around a rectangular family portrait has a perimeter of 60 inches. The length is 15 inches less than 2 times the width. Find the length and width of the frame.
Answers
Answer:
L=15 , W=15
Step-by-step explanation:
Select all of the names that apply to π
Answers
Answer:
3.14, pie, pi
Step-by-step explanation:
there I answerd
Answer:
3.14, pi, pie
Step-by-step explanation:
That's all that I could think of but I really hope this helps you!
what is the exact measure of central angle in radians?
Answers
The measure of the central angle is 2.5 rad
Explanation:Central angle is:
\(\frac{\text{Arc length}}{radius}\)which is
\(\frac{5}{2}^{}\)OR
2.5 rad
It is now 2016. Mouse, Inc., a calendar year S corporation, is owned equally by four shareholders: Mickey, Minney, Topolino, and Topolina. The corporation owns investment land that was purchased for 345,000 four years ago. On September 6 of the current year, when the land is worth $510,000, it is distributed to Topolino.
Assuming that Topolino's basis in his S corporation stock is $470,000 immediately before the distribution. What is Topolino's basis in the corporation's stock immediately after the distribution?
Select one:
a.
$125,000
b.
($40,000)
c.
$1,250
d.
$0
Answers
As it was a non-liquidating distribution of investment land worth $510,000 to Topolino, it reduces his stock basis by the same amount, resulting in a negative basis of ($40,000) after the distribution. The answer is (b) ($40,000).
The distribution of the investment land with a fair market value of $510,000 to Topolino is a non-liquidating distribution, which means that it reduces Topolino's stock basis by the amount of the distribution ($510,000).
Topolino's basis in the stock immediately after the distribution will be the sum of his basis in the stock before the distribution ($470,000) minus the amount of the distribution ($510,000), which results in a negative basis of ($40,000). The correct answer is (b) ($40,000).
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Look at this alternative hypothesis: Consumer satisfaction ratings of luxury cars is lower than satisfaction ratings of economy cars. The t-value for this alternative hypothesis is 1.99, and the degrees of freedom (df) = 37. Using the calculator (https://www.socscistatistics.com/pvalues/tdistribution.aspx), what is the p-value for this alternative hypothesis? <.0001 .027 .054 .973 .946
Answers
the p-value for this alternative hypothesis is 0.054
The p-value is the probability of obtaining a test statistic as extreme or more extreme than the one observed, assuming that the null hypothesis is true. In this case, the null hypothesis is that there is no difference in consumer satisfaction ratings between luxury and economy cars. The alternative hypothesis is that the satisfaction ratings for luxury cars are lower than those for economy cars.
Using the given t-value of 1.99 and degrees of freedom of 37, we can calculate the p-value using the t-distribution calculator. The p-value obtained is 0.0554, which is larger than the commonly used significance level of 0.05. This means that we do not have sufficient evidence to reject the null hypothesis and conclude that there is a significant difference in consumer satisfaction ratings between luxury and economy cars. Therefore, the correct answer is (c) 0.054.
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A sum of money was distributed among some boys. Had there been two boys more, each would have received Rs. 10 less. Had there been two boys less, each would have received Rs. 15 more. Find the number of boys and the sum received by each.
Answers
Given -
A sum of money was distributed among some boys.Had there been two boys more, each would have received Rs. 10 less.Had there been two boys less, each would have received Rs. 15 more.To find -
the number of boys and the sum received by each.Explanation -
Here as we are required to find the value of two different individuals hence first we will from 2 linear equations into two variables (taking each to be value as x and y or whatever you like, I will take them as a and b) will solve the equation by any method of your choice (explanation for them is in the link, below, it is given by the same me)
https://brainly.com/question/27161912?utm_source=android&utm_medium=share&utm_campaign=question
Solution -
Let the sum of money that was given to each boy be a and the number of boys be b. Hence, the total no. of money distributed to b no. of boys is ab.
According to the question,
Scenario 1 -
➡ (a + 2)(b - 10) = ab
Solving it further,
➡ a(b - 10) + 2(b - 10)= ab
➡ ab - 10a + 2b - 20= ab
Cancelling ab,
➡ 10a - 2b + 20 = 0
➡ 10a = 2b - 20
➡ a = 2(b - 10)/10
➡ a = (b - 10)/5
Scenario 2 -
➡ (a - 2)(b + 15) = ab
Solving it further,
➡ a(b + 15) - 2(b + 15)= ab
➡ ab + 15a - 2b - 30= ab
Cancelling ab,
➡ 15a - 2b - 30 = 0
Substituting the value of a in the equation,
➡ 15{(b - 10)/5} - 2b - 30 = 0
➡ 3(b - 10) - 2b - 30 = 0
➡ 3b - 30 - 2b - 30 = 0
➡ 3b - 2b -60 = 0
➡ b = 60
Substituting the value of b in a = (b - 10)/5,
➡ a = (60 - 10)/5
➡ a = 50/5
➡ a = 10
[Here we have used the substitution method]
Henceforth, the total number of boys is 60 and the sum received by each is Rs. 10 .
Write the equation of the line in slope intercept form that goes through (6, 3) and is
perpendicular to −6x + 2y = 18
Answers
\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)
Let's solve ~
The equation of line perpendicular to required line is :
\(\qquad \sf \dashrightarrow \: - 6x + 2y = 18\)
now, let's write it in alope intercept form to get its slope.
\(\qquad \sf \dashrightarrow \: 2y = 6x + 18\)
\(\qquad \sf \dashrightarrow \: y = 3x + 9\)
so, slope of this line is 3, and we know that product of slopes of two perpendicular lines is -1.
So, slope of required line is :
\(\qquad \sf \dashrightarrow \: m \times 3 = - 1\)
\(\qquad \sf \dashrightarrow \: m = - \cfrac{1}{3} \)
Now, we know slope of required line ( i.e - 1/3 ) and ir goes through point (6 , 3), let's write it's equation in point slope form ~
\(\qquad \sf \dashrightarrow \: y - 3 = - \dfrac{ 1}{3} (x - 6)\)
\(\qquad \sf \dashrightarrow \: y - 3 = - \dfrac{x}{3} + 2\)
\(\qquad \sf \dashrightarrow \: y = - \dfrac{x}{3} + 2 + 3\)
\(\qquad \sf \dashrightarrow \: y = - \dfrac{x}{3} + 5\)