17297280 ways can the sites for the new stores be selected. This can be solved using the concept of probability.
What is probability?The word "probability" derives from the Latin word "probitatem," which means "credibility, likelihood," from the noun probabilis in the 14th century (see probable). The phrase was first used in a mathematical meaning in 1718.
A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.
Given that,
14 different sites on which to locate 7 stores
For store 1, it can be placed on 14 sites.
Store 2 can be placed on 13 sites (since store 1 is already on site 1).
Store 3 can be placed on 12 sites and
so on until store 7 which has 8 sites.
Therefore the number of ways is:
C = 14 × 13 × 12 × 11 × 10 × 9 × 8
C = 17297280 ways
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A) A contractor is buying a truck for work. They have saved $2,000.00 for the down payment. The remaining $4,000.00 will be financed through the dealership for three years at an interest rate of 2%. How much interest would they pay by the end of the finance?
Answer:
$240
Step-by-step explanation:
To calculate the interest, you need to multiply the principal (the amount financed, $4,000.00) by the interest rate (2%) and the number of years (3).
So, the interest would be: $4,000.00 x 0.02 x 3 = $240.00
The contractor would pay $240.00 in interest over the course of the 3-year financing.
Is half and halve the same?
No , half and halve represents different forms which is given by :
Half represent the noun form , adjective form or the adverb form where as halve represents the verb form.
Difference between half and halve is as follow :
Half represents the noun, adjective, or adverb form. In the noun form , meaning of half is given by “fifty percent of something ” or you can equal amount. In an adjective or adverb form , it represents that divides something, half of a whole part, or completely half . Halve represents the verb and meaning of halve is “divide into two equal or roughly equal parts.”Therefore, half and halve are not same they represents different forms which is given by : half is the noun form , adjective form or the adverb form where as halve represents the verb form.
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Please help ASAP i will give brainliest if they answer all the questions "100 points"
Thank you Have a good day :)!
what is a visual representation of data where numbers on the left side of a chart show one part of each value, while numbers on the right side of the chart show the other?
A visual representation of data where numbers on the left side of a chart show one part of each value and numbers on the right side of the chart show the other is called a bar chart. A bar chart is a chart that uses rectangular bars to represent different values or categories. Each bar has a length that represents a value or a category. The left side of the chart is called the y-axis, or the vertical axis, and the right side of the chart is called the x-axis, or the horizontal axis. The x-axis typically shows the categories, and the y-axis shows the values of those categories. The height of each bar represents the value of the data point, with the height on the y-axis and the categories on the x-axis. This type of graph is useful for comparing the relative sizes of different groups or categories, as well as spotting trends and patterns.
Giselle works as a carpenter and as a blacksmith. She earns 20$ per hour as a carpenter and 25$ per hour as a blacksmith. last week, Giselle worked both jobs for a total of 30 hours and earned 690$. How long did Giselle work as a carpenter last week and how long did she work as a blacksmith
Giselle worked 12 hours as a carpenter
She also worked 18 hours as a blacksmith
How to calculate the number of hours that Giselle worked as a carpenter and a blacksmith?Giselle worked as both a carpenter and a blacksmith
She earned $20 per hour working as a carpenter
She also earned $25 per hour working as a blacksmith
She worked for 30 hours to earn $690
Let x represent the number of hours that she worked as a carpenter
Let y represent the number of hours that she worked as a blacksmith
x + y= 30........equation1
20x + 25y= 690......equation 2
From equation 1
x + y= 30
x= 30-y
Substitute 30-y for x in equation 2
20(30-y) + 25y= 690
600-20y+25y= 690
collect the like terms
600+5y=690
5y= 690-600
5y= 90
y= 90/5
y= 18
Substitute 18 for y in equation 1
x+y= 30
x+18= 30
x= 30-18
x= 12
Hence Giselle worked 12 hours as a carpenter and 18 hours as a blacksmith
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Annual Salary: $24,872; personal exemptions: $1,500.
This person is paid semimonthly.
Use the following graduated income tax rates and find the income tax withheld per pay
period.
First $10,000 is 2.75%
Next $15,000 is 3.25%
If Annual Salary: $24,872; personal exemptions: $1,500. the income tax withheld per pay is: $29.57 per pay period.
How to find the income tax withheld per day?Total taxable income = $24,872 - $1,500
Total taxable income = $23,372
The first $10,000 is taxed at a rate of 2.75%. The tax owed on the first $10,000 is:
$10,000 * 0.0275
= $275.
The remaining $13,372 ($23,372 - $10,000) is taxed at a rate of 3.25%, so the tax owed on this amount is:
$13,372 * 0.0325
= $434.57
The total tax owed is:
$275 + $434.57
= $709.57
Since the person is paid semimonthly, we divide the annual tax owed by 24 to find the tax withheld per pay period:
$709.57 / 24
= $29.57 per pay period
Therefore the income tax withheld per pay is: $29.57 per pay period.
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PLS HELP I WILL MARK BRAINLIEST
Answer:
Parallel: y= -(7x/3)-20
Perpendicular: y= 3x/7 - 24/7
Step-by-step explanation:
Slope of parallel line: -7/3
So the equation is y=-7x/3+a
Solve for A:
−6=(−7/3)⋅(−6)+a
So A is -20 and the equation is y=-7x/3=20
Slope of perpendicular line: 7/3
So the equation is y=3x/7 + a
Solve for A:
-6=(3/7)*(-6)+a
Therefore, a= -24/7
So the equation is y= 3x/7 - 24/7
Answer:
Equation of the parallel line: [tex]y = -\frac{7}{3}x - 20[/tex]
Equation of the perpendicular line: [tex]y = \frac{3}{7}x - \frac{24}{7}[/tex]
Step-by-step explanation:
To find the equation of a parallel line, we already know that the slope is the same as the original line, so let's find the equation of our original line. We are given:
-7x - 3y = 5
So, we will add 7x to both sides to leave y on a side by itself:
-3y = 7x + 5 (This is the slope-intercept form which is what we will be using)
Then, divide by -3 to isolate y, giving us:
[tex]y= -\frac{7}{3} x - \frac{5}{3}[/tex]
Since it is a parallel line, our slope is the same, giving us:
[tex]y = -\frac{7}{3}x + b[/tex]
Now, the slope of a line is [tex]\frac{rise}{run}[/tex]. Rise is the gain in y, and run is the gain in x. So, since we want to find the y-intercept, we need x to be 0, so let's say for every 3 we gain on the x-axis, we lose 7 on the y-axis (because we need one of the two values to have a negative so that our overall fraction is negative). Now, since we have the point (-6, -6) We need to gain 6 on the x-axis. Meaning, we need to use our slope twice. This means that we will need to also multiply our -7 by 2. So we have:
(-6 + 6, -6 - 14)
Giving us:
(0, -20)
Which is our y-intercept. So our equation for the parallel line is:
[tex]y = -\frac{7}{3}x - 20[/tex]
Now, for the perpendicular line, we need to get the negative reciprocal of the slope of our original line. Our original line's slope was [tex]-\frac{7}{3}[/tex]. So, the negative reciprocal of that is [tex]\frac{3}{7}[/tex]. So, our equation is:
[tex]y = \frac{3}{7}x + b[/tex]
Now, we will find the y-intercept. Since we need to gain 6 on the x-axis, but we have a normal gain of 7, we will need to multiply both our run and rise (3 and 7 respectively) by [tex]\frac{6}{7}[/tex]. Giving us that our x coordinate is:
[tex](-6 + 7 * \frac{6}{7} , -6 + 3 * \frac{6}{7} )[/tex]
Simplifying gives us:
[tex](-6 + 6 , -6 + \frac{18}{7} )[/tex]
Adding the x coordinates gives us:
[tex](0, -6 + \frac{18}{7})[/tex]
Now, to make this simple, we will put -6 over 7. To achieve this, we will need to multiply -6 by 7, giving us -42. So, we have:
[tex](0, -\frac{42}{7} + \frac{18}{7})[/tex]
42 - 18 = 24. So, we get:
[tex](0, -\frac{24}{7})[/tex]
So, the slope of the perpendicular line is:
[tex]y = \frac{3}{7}x - \frac{24}{7}[/tex]
So, these are the two equations of the parallel and perpendicular lines respectively:
Parallel: [tex]y = -\frac{7}{3}x - 20[/tex]
Perpendicular: [tex]y = \frac{3}{7}x - \frac{24}{7}[/tex]
Hope this helped!
Quintell is thinking about retirement and decides to sail around the world once he retires. he buys a sailboat for 125000. he borrows the money at a rate of 7.5% for five years. how much will his total interest be?
The total interest for the loan is given as follows:
46,875.
How to model the situation with simple interest?The balance of an account after t years, using simple interest, that is, a single compounding per year, is given by the equation presented as follows:
A(t) = P(1 + rt).
In which the parameters of the equation are explained as follows:
P is the value of the initial deposit.r is the interest rate, as a decimal.The interest amount is the subtraction of the balance by the principal, hence it's formula can be simplified as follows:
I(t) = Prt.
The values of the parameters for this problem are given as follows:
P = 125000, r = 0.075, t = 5.
Hence the interest amount is given as follows:
I(5) = 125000 x 0.075 x 5
I(5) = 46,875.
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Round 50276 to the nearest hundred
Answer:
50276 rounded to the nearest hundred is 50300.
Rounding to the nearest hundred means finding the number that is closest to the original number, but ends in two zeroes. In this case 50300 is the nearest number ending in two zeroes to 50276.
Answer:50300
Step-by-step explanation:
In 50276, the number 2 is in the hundreds place. If the number in the tens place if equal or bigger to 0 round up to get 50300.
How do you solve ratio word problems in 7th grade?
A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other
What is an equivalent ratios?
A ratio compares two quantities named as antecedent and consequent, by the means of division. For example, when we cook food, then each ingredient has to be added in a ratio. Thus, we can say, a ratio is used to express one quantity as a fraction of another quantity.
Two ratios are equivalent to each other if one of them can be expressed as the multiple of the other. Hence, to get the equivalent ratio of another ratio, we have to multiply the two quantities (antecedent and consequent) by the same number.
Given ratios are 2:1 and 3:1
we can write it as 2/1 and 3/1.
The lcm of 2 and 3 is 6.
Multiply denominator of both ratio with 6, we get
2/6 and 3/6 And we can see both the ratios are not equal.
Hence, there are not equivalent ratios.
4:1 and 8:3 are equivalent ratios -----> is false, because 4:1 is equivalent to 8:2
11:2 and 2:11 are equivalent ratios------> is false (because, are reciprocal ratios, not equivalent ratios)
3:1 and 9:3 are equivalent ratios ------> is true
because 3:1 multiply both sides by 3 -----> 3*3:1*3=9:3
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Answer to this????????
If to the nearest whole number, then 2. If to the nearest tenth, then 1.5.
0.579 + .94 is 1.519.
When rounding to the nearest whole number, if the first number after the decimal point is 5 or higher, round up. If 4 or lower, then round down.
A mechanic named Zeke plans to work a maximum of 12 hours tomorrow, and no more, doing tune-ups and oil changes. It takes 1 hour to perform a tune-up and 2 hours to perform an oil change.
Write the inequality in standard form that describes this situation. Use the given numbers and the following variables.
The inequality that models the situation is:
x + 2y ≥ 12
How to write the inequality that models this situation?We know that a Mecnahinc named Zeke plans to work a maximum of 12 hours (12 hours is an allowed value) tomorrow.
And we know that he works doing tune-ups and oil changes.
Let's define the variables:
x = number of tune-upsy = number of oil changes.We know that It takes 1 hour to perform a tune-up and 2 hours to perform an oil change.
Then the total number of hours worked by Zeke is given by the expression:
x*1 + y*2
And that must be equal to or smaller than 12, so we will get the inequality:
x + 2y ≥ 12
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Solve the following equation for m.
Show all work.
5m + 2 - 3.9m = 2.1(m — 3)
-
m=
A. - 4.2
B. -8.3
C. 8.3
D. no solution
The solution for "m" for the equation is 8.3.
What is an expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:
Expression: (Math Operator, Number/Variable, Math Operator)
Given expression
5m + 2 - 3.9m = 2.1(m — 3)
5m + 2 -3.9m = 2.1m - 3(2.1)
1.1m + 2 = 2.1m - 6.3
compare variables on one side and constant other,
2 + 6.3 = 2.1m - 1.1m
8.3 = m
Hence the value of m is 8.3.
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the width is to be 14 feet less than 3 times the height. find the width and the height if the carpenter expects to use 28 feet of lumber to make it.
The width of the bookcase is 6 feet and height is 4 feet if the carpenter expects to use 28 feet of lumber to make it.
Let w = the width and h = the height of the bookcase. The width of the lumber you are using is not given.
Also, Let the height is x.
and, the width is 3x -14.
Since, we stated that this equals 28 feet and also that w = 3h - 14, we can insert this into the equation and use it to solve for h:
Now,
The total amount of lumber used to make the bookcase is:
L = 4w + 2h -------------------------- (1)
Now Putting Width and height in the Equation (1):
⇒ 28 = 4(3h - 14) + 2h
⇒ 28 = 12h - 56 + 2h
⇒ 28 = 14h - 56
⇒ 84 = 14h
⇒ h = 84/14
= 6 feet
Putting the value of height, h= 6 feet in
w = 3x -14
⇒ w = 3(6) - 14 = 4.
Therefore,
The width is 4 feet and the height is 6 feet.
Complete Question:
A bookcase is to have 4 shelves including the top as pictured below.
The width is to be 14 feet less than 3 times the height. Find the width and the height if the carpenter expects to use 28 feet of lumber to make it.
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if you ate 2.5 cups of this particular cereal, how many calories and grams of fiber would you be consuming?
On solving the provided question, we can say that by linear equation we have 2.5x * cereals = y
What is a linear equation?A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3.
2.5 cups of this particular cereal,
the following linear equation, you could calculate how many calories and grams of fiber you were eating.
let x = cereals we eat y = calories
so, equation - 2.5x * cereals = y
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a line segment 42 inches long is divided into 3 portions in a ration of 1;2;4. how many inches longer is the longest portion than the shortest protion
The longest portion is 18 inches longer than the shortest portion.
What is algebraic equation ?
An algebraic equation is a mathematical statement that shows that two expressions are equal. It typically consists of a combination of numbers, variables and mathematical operations such as addition, subtraction, multiplication, and division.
We know that the ratio of the portions is 1:2:4, so we can use this ratio to find the length of each portion by dividing 42 inches by the sum of the ratio, 1+2+4 = 7.
So each portion is 42 inches / 7 = 6 inches.
The longest portion is 4 times the length of the shortest portion, which is 6 inches. So the longest portion is 4 * 6 inches = 24 inches.
24 - 6 = 18 inches ,
Therefore, the longest portion is 18 inches longer than the shortest portion.
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Thanks if you can solve this
The required time for Cormac to catch Leif is, 2.85 minute
What is the relation between time, distance & speed ?The distance covered by the object is equal to the product of the speed at which the object is moving and time taken for covering the distance.
Distance = Time × Speed
Given that,
Cormac runs at a speed = 105 m/minute
Leif runs at a speed = 65 m/minute
Leif is 100 m away from the Cormac,
So, total distance covered by Leif = 100 + Distance covered After Cormac started
Distance covered After Cormac started = 65t
Distance covered by Cormac = 100t
To catch Leif,
100t = 65t + 100
35t = 100
t = 2.85 minute
Hence, the required time is 2.85 minute
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A clerk at a jewelry store earns 12.5% commission on top of her hourly wage. A ring sells for $549.99. The store is running a special promotion where rings are marked down 10%. She earns her commission on the sale price. How much commission will she receive if she sells the ring? Round to the nearest cent
The sales commission the clerk will receive if she sells the ring at a markdown of 10% is $61.87.
What is a sales commission?Sales commission is a percentage of the sales price paid to salespeople as an incentive to drive more sales for the organization.
What is the markdown price?The markdown price is the reduced selling price of an item.
It is determined by subtracting a stated percentage from the regular retail price.
Retail prices may be marked down to encourage customers' patronage during low sales periods.
The normal selling price of the ring = $549.99
Special promotion markdown = 10%
Marked-down price = $494.99 ($549.99 x 1 - 10%)
Sales commission in percentage = 12.5%
Sales commission in dollars = $61.87 ($494.99 x 12.5%)
Thus, the sales clerk will receive $61.87 in sales commission for selling the ring.
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a curve passes through the point (4,2) and has the property that the slope of the curve at every point p is three times the y-coordinate p. what is the equation of the curve?:
The slope of the curve at a point (x,y) is given as 3y. This means that the equation of the curve is in the form of y = mx + b, where m is the slope of the curve and b is the y-intercept.
Since the curve passes through the point (4,2), we can use this point to find the value of b:
y = mx + b
2 = 3(4) + b
b = -10
So the curve's equation is: y = 3x - 10
You can confirm this by plugging in the point (4,2) into the equation.
2 = 3(4) - 10
2 = 12 - 10
2 = 2
a second set of measurements were taken, and the efficiency was found to be greater than 100%. what reasons most likely explain why the second set had a different efficiency? select all that apply.
It must be less effective than 100%. Any time you switch from one source of energy to another, especially if there is effort involved, there is a cost.
An enzyme is a protein that must retain its three-dimensional structure in order for it to function as a "lock and key." A little alteration to the enzyme structure might render it inoperative.
Denaturation of proteins is common. The protein's structure can change as a result of environmental factors including pH and temperature. An increase in temperature should hasten the process, but an excessive increase might harm the enzyme. Therefore, the situation in which there is no change to the enzyme structure would be the "ideal" one.
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Note : The complete question could be as bellow,
A second set of measurements were taken, and the efficiency was found to be greater than 100%. What reasons most likely explain why the second set had a different efficiency? Select all that apply:
Used the reciprocal of the efficiency formula
Raised the resistance force in a shorter amount of time
Used the incorrect conversion factor from pounds to Newtons for force Incorrect values for the resistance distance
Inaccurate readings from force sensor for effort force
Increase efficiency from reduced friction
What kind of triangle is formed when the lengths of the sides are 6cm 8cm and 10cm?
A triangle with the lengths of the sides 6cm , 8cm , and 10cm is a right angled triangle using Pythagoras theorem.
As given in the question,
In the given triangle,
lengths of the sides of the triangle is given by :
6cm , 8cm , and 10cm
In the given measurement longest side is 10cm.
Using Pythagoras theorem :
( Hypotenuse ) ² = (Base)² + ( Altitude)²
Here
( 6 )² + ( 8 )²
= 36 + 64
= 100
= 10²
It satisfy the condition of Pythagoras theorem.
It is a right angled triangle with hypotenuse = 6cm.
Therefore, the given lengths of the sides of the triangle represents it is a right angled triangle.
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The measure of an exterior angle of a regular polygon is given below. Find the measure of an interior angle. Then find the number of sides. 36
Answer: The measure of an exterior angle of a regular polygon is given by the formula:
(n-2) * 180 / n
Where n is the number of sides of the polygon.
So, if the measure of an exterior angle of a polygon is 36 degrees, we can set up the equation:
(n-2) * 180 / n = 36
To find the measure of an interior angle, we can use the formula:
(n-2) * 180 / n = (n-2) * 180 / n
So, if the measure of an exterior angle is 36, the measure of an interior angle would be:
(n-2) * 180 / n = (n-2) * 180 / n = (n-2) * 180 / n = (n-2) * 180 / n = (n-2) * 180 / n = (n-2) * 180 / n = (n-2) * 180 / n
To find the number of sides, we can use the formula:
n = (180 / (180-x))
So, if the measure of an exterior angle is 36, the number of sides would be:
n = (180 / (180-36)) = (180 / 144) = 5
Therefore, a regular polygon with an exterior angle measure of 36 degrees has 5 sides and an interior angle measure of 144 degrees.
Step-by-step explanation:
Isabelle was curious if sample maximum was an unbiased estimator of population maximum. She started with a large normally distributed population of test scores whose maximum was 999999 points. She then took a random sample of 666 tests and calculated the maximum of the sample. She replaced those tests and repeated this process for a total of 404040 trials. Her results are summarized in the dotplot below, where each dot represents the maximum score from a sample of 666 tests.
Isabelle concluded that the sample maximum is an unbiased estimator of the population maximum.
What is value?Value is a term used to describe the worth of something. It can refer to monetary value, but it can also be used to describe the worth of intangible things such as relationships, ideas, and experiences. Value creates an understanding between two parties, as each may have a different opinion on what something is worth. It can be seen as an exchange or trade of something that both parties consider to be of equal or greater value.
This conclusion is supported by the high number of samples that had a maximum value of 999999. The dotplot shows that the sample maximum was 999999 in over 95% of the trials. The other samples had maximum values that were lower, but still close to the true maximum of 999999. This indicates that the sample maximum did not systematically overestimate or underestimate the population maximum.
The sample maximum was also consistent across the different trials, with the majority of the samples having a maximum value near 999999. This consistency indicates that the sample maximum is a reliable estimator of the population maximum. While there is always a chance that the sample maximum may deviate from the population maximum, the results suggest that the sample maximum is unbiased and reliable for estimating the population maximum.
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work out the area of this shape
Answer:
the answer is 45 cm^2
how many questions are left lol
the sum of the first 5 terms of an arithmetic series is $70$. the sum of the first 10 terms of this arithmetic series is $210$. what is the first term of the series?
Therefore ,as a result, 42/5 is the value of the first term in the equation for the arithmetic mean.
What does arithmetic mean?The arithmetic average or means of the group is calculated as the sum of each value in a list divided by the total number of things in that list. The progression in mathematics is the same as this. The average of the integers 5, 7, and 9 is 4, as shown by the equation 5 + 7 + 9 being equal to 21, and 21 divided by 3 (there are actually three numbers) being equal to 7.
Here,
Given :
5 a + 10 d = 70 in the first five terms (1)
The first ten terms add up to 10 a + 45 d = 210. (2)
This means that in order to solve the system for a, multiply equation (1) by 2, then subtract it from equation (2):
=> 10a - 10a + 45d - 20d = 210-140
=> 25d = 70
=> d = 70/25
=> d = 14/5
A value then becomes:
5a + 10*14/5 = 70;
5a = 70-140/5;
5a = 350-140/5;
a = 42/5.
42/5 is the response.
As a result, 42/5 is the value of the first term in the equation for the arithmetic mean.
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[(1/15−2/5)⋅(−3/4)³]÷(−9)
Answer:
[tex]-\frac{1}{64}[/tex]
Step-by-step explanation:
We have:
[tex][( \frac{1}{15} - \frac{2}{5}) * (-\frac{3}{4})^{3}] / (-9)[/tex]
Now, we will multiply the second fraction in the first parentheses by [tex]\frac{3}{3}[/tex] so we can subtract it from the [tex]\frac{1}{15}[/tex]. Then, we will multiply all of the [tex]\frac{3}{4}[/tex]'s. This gives us:
[tex][( \frac{1}{15} - \frac{2}{5} * \frac{3}{3} ) * (-\frac{3}{4} * -\frac{3}{4} * -\frac{3}{4})] / (-9)[/tex]
Which simplifies to:
[tex][( \frac{1}{15} - \frac{6}{15} ) * (-\frac{27}{64})] / (-9)[/tex]
Simplifying:
[tex][(-\frac{5}{15} ) * (-\frac{27}{64})] / (-9)[/tex]
Multiplying in our brackets gives us:
[tex]\frac{9}{64} / (-9)[/tex]
Now, using the rule of KCF (Keep, Change, Flip), we will keep our first fraction, change our division sign to a multiplication sign, and make the last number its reciprocal. This gives us:
[tex]\frac{9}{64} * -\frac{1}{9} = -\frac{1}{64}[/tex]
So, the equation simplified is [tex]-\frac{1}{64}[/tex].
Hope this helped!
How to turn the coordinates (-3,5) (4,-4) into y=mx+b
Answer:
y = -[tex]\frac{9}{7}[/tex] + [tex]\frac{8}{7}[/tex]
Step-by-step explanation:
Answer:
y = [tex]-\frac{9}{7} x +\frac{8}{7}[/tex]
Step-by-step explanation:
To turn the coordinates into y=mx+b, you first need the slope, m.
To find that you would use [tex]m = \frac{y2 - y1}{x2 - x1}[/tex],
Let (-3, 5) = (x2, y2)
and (4, -4) = (x1, y1)
[tex]m = \frac{5 - (-4)}{-3 -4}[/tex]
or, [tex]m = -\frac{9}{7}[/tex].
Now you have the slope, you will need the y-intercept, b, which you will need to use the point-slope formula (y - y2) = m(x - x2) and plug one of the points and slope into the equation (It does not matter which point you use).
So, (y - 5) = [tex]-\frac{9}{7}[/tex](x - (-3) or (y - 5) = [tex]-\frac{9}{7}[/tex](x + 3)
Then you would distribute the -9/7 to the (x + 3),
which turns into
(y - 5) = [tex]-\frac{9}{7}x[/tex] + ([tex]-\frac{9}{7}[/tex])3
y - 5 = [tex]-\frac{9}{7} x -\frac{27}{7}[/tex]
After that , add 5 from both sides,
y - 5 = [tex]-\frac{9}{7} x -\frac{27}{7}[/tex]
+ 5 +5
--------------------------------
y = [tex]-\frac{9}{7} x +\frac{8}{7}[/tex]
And that should be in y=mx+b form!
Hope it helps!
The US GDP (Gross Domestic Product) for 2014 was a reported 17. 555 trillion dollars. The current US population is about 320 million people. Round all answers to the nearest hundredth
The US GDP (Gross Domestic Product) for 2014 was reported to be the nearest hundredth is 17. 56 trillion dollars. The current US population is about 320 million people to the nearest hundredth.
The gross domestic product (GDP) is a commonly used indicator of the value added produced by the production of goods and services in a country over a certain time period (GDP). As a result, it also takes into account the money made from that manufacturing or the sum of money spent on finished goods and services (fewer imports). Although the gross domestic product (GDP) is the most important indicator for gauging economic activity, other metrics may be better suitable for gauging people's material well-being.
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19>15+x I am so confused and need help for homework.
Answer: x<4
Step-by-step explanation:
19>15+x
4>x
x<4 is the answer
Answer:
Since 15+x is less than 19. 15+x cannot equal to or greater than 19. If x is greater or equal to 4, the answer will be equal to or greater than 19 which is not true for the equation shown above.
So x is less than 4.
this table shows overall advertising revenue for the American newspaper industry (in billions of inflation-adjusted 2015 for the years 1980 to 2015.
The grouped frequency distribution data is given in the image.
What is a distribution?The distribution of values in a field is described by a statistical distribution, often known as a probability distribution. In other words, the statistical distribution identifies the typical and unusual values. The bell-shaped normal distribution is one of many varieties of statistical distributions.
Given:
This table shows overall advertising revenue for the American newspaper industry (in billions of inflation-adjusted 2015 dollars) for the years 1980 to 2015.
From the given data,
we can build the grouped frequency distribution data.
And our first class should be 10-19.9.
The table is given in the attached image.
Therefore, the frequency is given in the attached image.
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