Answers
y = 0.6x + 3
How to determine the equation of the line?To determine the equation of the line, we need to determine the slope and the y-intercept. Then, we will substitute the slope and the y-intercept in the slope intercept form equation to obtain the equation in slope intercept form.
Slope of line:Two points that lie on line: (0, 3) and (-5, 0)
[tex]\implies \text{Slope} = \dfrac{\text{Rise}}{\text{Run}} = \dfrac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
[tex]\implies \text{Slope} = \dfrac{3 - 0 }{0- (-5)}\\[/tex]
[tex]\implies \text{Slope} = \dfrac{3 }{0+5}\\[/tex]
[tex]\implies \text{Slope} = \dfrac{3 }{5} = 0.6[/tex]
Y-intercept of line:[tex]\implies \text{Intersection of line on y-axis: 3}[/tex]
[tex]\implies \text{y-intercept: 3}[/tex]
Equation of line:Slope intercept form:
y = mx + b[Where "m" is the slope and "b" is the y-intercept]
Substitute the slope (m) and the y-intercept (b) in the formula;
[tex]\implies \text{Slope intercept form: y = (m)x + (b)}[/tex]
[tex]\implies \text{Equation of line in slope intercept form: y = (0.6)x + (3)}[/tex]
Open the parenthesis in the equation;
[tex]\implies\text{Equation of line in slope intercept form: \boxed{\text{y = 0.6x + 3}}}[/tex]
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Related Questions
Economists are analyzing the effects of new tax policies on population growth. From recent census data, it is known that the proportion of families in the United States who have more than 3 children in the household is 26%. For a random sample of 50 families, what is the standard deviation for the sampling distribution of the sample proportions, rounded to three decimal places
Answers
Using the Central Limit Theorem, it is found that the standard deviation for the sampling distribution of the sample proportions is of 0.062.
What does the Central Limit Theorem states?It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].
In this problem:
The proportion is of p = 0.26.A sample of n = 50 families is taken.Hence, the standard deviation is given by:
[tex]s = \sqrt{\frac{0.26(0.74)}{50}} = 0.062[/tex]
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What is the value of x?
Answers
Answer: 5
Step-by-step explanation:
What is the data value (runs) that had the greatest frequency? NO LINKS!!!
Answers
Answer:
i cant see it
Step-by-step explanation:
Alia bought a home for her pet turtle. The rectangular tank is 3 feet long, 1 foot wide, and 2 feet high. What is the volume of the tank?
The volume of the tank is Blank
cubic feet
Answers
Answer:
6 ft^3 or cubic ft
Step-by-step explanation:
Volume = B x H or L x W x H
Base = L x W
Length: 3 ft
Width: 1 ft
Height: 2 ft
3 x 1 x 2 = 6
6 ft^3
simplify 15/root75 +root 108+root 432
Answers
Answer:
32.91
Step-by-step explanation:
[tex] \hookrightarrow \sf \frac{15}{ \sqrt{75} } + \sqrt{108 } + \sqrt{432} [/tex]
[tex] \hookrightarrow \sf \: 19 \sqrt{3} \approx \: 32.908965[/tex]
Answer:
32.90235
Step-by-step explanation:
[tex]\frac{15}{\sqrt{75} }[/tex] + [tex]\sqrt{108}[/tex] + [tex]\sqrt{432}[/tex]
= 1.73205 + 10.3923 + 20.784
= 32.90235
During second period, Clara completed a grammar worksheet. Of the 45 questions, Clara got 60% right. How many questions did Clara get right?
Answers
Answer:
0.6*45=27
Step-by-step explanation:
You have to change 60 percent into a decimal and multiply it by 45 because there are 45 questions and you wil get 27
I SUCK AT MATH HELP PLS!!!
Answers
Answer:
Step-by-step explanation:
Formula
m = (y2 - y1)/(x2 - x`1)
Givens
Points M(-5,4) and N(2,-1)
y2 = 4
y1 = -1
x2 = - 5
x1 = 2
Solution
m = (4 - - 1) / (-5 - 2)
m = (4 + 1) / (- 7)
m = (5) / (- 7)
Answer: m (slope ) = 5/-7
Note
The question is how do you enter it? It depends on how you have been told to enter fractions or mixed numbers. I would answer it as
-5
-----
7
which you will note transfers the minus sign to the top of the fraction. It shouldn't matter as long as the net result is minus.
What is the length of the hypotenuse?
Answers
14 units
By find the missing angle to be 60. Use Cos = a/h
Cos60 = 7/h
x h, then ÷ by cos60
h = 7/cos60
h = 14
Hypotenuse is the longest length
Soh Cah toa
So, the last length must be 7 root 3 (12.12 to 2d.p)
(root means square root)
Hope this helps!
Which of the following is not a reason for america to keep its current system of measurement? a. it would be too expensive and time consuming to switch everything over to metric. b. since the american system is decimal based, it is easy to convert between different units of measure. c. the american system works most easily with fractions which, some argue, are preferable on a day-to-day basis. d. the units and terms involved with the american system are smaller and easier to use than those in the metric system.
Answers
C. American system works most easily with fractions which, some argue, are preferable on a day to day basis
The units and terms involved with the American system are smaller and easier to use than those in the metric system.
What is the metric system of measurement?The metric system is a system of measurement used in most countries around the world.
It is based on units of 10 and is also known as the International System of Units (SI).
The basic units of the metric system include the meter (for length), the gram (for mass), and the liter (for volume).
We have,
The statement "the units and terms involved with the American system are smaller and easier to use than those in the metric system" is not a valid reason to keep the current system of measurement in the United States.
In fact, the metric system is considered to be simpler and more logical than the U.S. customary system of measurement.
The metric system is based on multiples of 10, which makes conversions between units much easier than the U.S. customary system, which is based on arbitrary values that are not easily converted between each other.
Additionally, the metric system is used universally around the world, which makes it easier for people to communicate and do business across international borders.
Finally, many industries, such as science, engineering, and medicine, have already adopted the metric system, making it more practical to switch over to metric completely.
Thus,
The units and terms involved with the American system are smaller and easier to use than those in the metric system.
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Another answer answer answer
Answers
Answer:
B
Step-by-step explanation:
-13-7=-20
Check:
13+7=20
The correct answer is B.
An article is bought for Rs200 & sold for Rs250,what is the profit percentage.
Answers
(200/250)×100 = 80%
100 - 80 = 20%
hope it helps...!!!
Answer:
20%
Step-by-step explanation:
For a typical human height of 2 meter what is the horizon distance on earth (r=6378 (b mars R=3,340
Answers
The horizon distance on earth for a typical human height of 2 meters is 5051 meters
How to determine the horizon distance?The given parameters are:
Human height, h = 2 metersRadius of earth, R = 6378 * 1000 metersThe horizon distance (OG) is calculated using:
[tex]OG = \sqrt{2 R h}[/tex]
This gives
[tex]OG = \sqrt{2 *6378 * 1000 * 2}[/tex]
Evaluate the square root
OG = 5051
Hence, the horizon distance on earth is 5051 meters
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What life cycle adaptation allows a seahorse to make lots of babies in a short amount of time? (2 points)
a seahorse
Group of answer choices
The female hatches the eggs in the sand while the male gets rid of predators.
The female hatches the eggs in the sand while the male protects them.
The male carries the babies while the female makes more eggs.
The male makes more eggs while the female carries the babies
Answers
Answer:
its c or 3
Step-by-step explanation:
yep
Answer:
C
Step-by-step explanation:
Jamie has 70 coins. They total $6.30. If they are only dimes and nickels find out how many of each she has.
Answers
Answer: 56 Nickel and 14 Dime = 70coins
Step-by-step explanation: Dime is 5cents And Nickle is 10cents. (560Cents + 70cents =630Cents )
A fleet of rental cars - all the same make, model, and year - has a mean fuel efficiency of 23. 4 miles per gallon (mpg). A random sample of 41 cars are selected and the air filter of each is replaced with a new one. Let mu be the population mean fuel efficiency score that would occur if every car's air filter were replaced. The air filter change is deemed effective if mu space greater than space 23. 4 mpg. A test is made of H subscript 0 colon space mu space equals space 23. 4 space space space v e r s u s space space space H subscript 1 colon space mu space greater than space 23. 4. Assume that the air filter changes are effective but the conclusion is reached that the changes might not be effective. Which type of error, of any, has occurred
Answers
From the given question, we did not reject the null hypothsis which makes the answer to this question a type II error
What is type I error ?Data:
Mean fuel efficiency = 23.4 mpgsamples = 41This is an error done from rejecting the null hypothesis (H_0) when the null hypothesis is true, is known as type I error.
What is type II error ?This is an error committed from not rejecting the null hypothesis (H_0) when actually the null hypothesis is false, is known as type II error
Given that the air filter changes are not effective i.e. ȝ = 24.7.
It means that if we do not reject the null hypothesis we shall make a correct decision. So consequently the chance of type II error is impossible because it occurs when we do not reject the null hypothesis, but here not rejecting the null hypothesis will lead to correct decision.
The answer to this question is type II error
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Which is a short-term consequence of making a late payment on your bill? it will be harder to buy a house because it affects your credit history. there will be a late fee added to the bill. it will be harder to secure a new loan at a low rate. the bank will charge a fee for having a negative balance.
Answers
There will be a late fee added to the bill as a short-term consequence of making a late payment on your bill. Option B is correct.
What is the late payment?A late payment is a payment sent to a lender or service provider after the due date or after the grace period for the payment has expired.
The consequence of making a late payment on your bill is;
A-it will be harder to buy a house because it affects your credit history.
B-here will be a late fee added to the bill
C-it will be harder to secure a new loan at a low rate
D- The bank will charge a fee for having a negative balance
All the given options are the consequence of making a late payment on your bill. But the options A, C, and D are the long-term consequences. While option B is a long-term consequence.
There will be a late fee added to the bill as a short-term consequence of making a late payment on your bill.
Hence option B is correct.
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B - there will be a late fee added to the bill
Find the surface area of the prism
Answers
Answer:
216cm²
Step-by-step explanation:
SA of the rectangular prism
= 2(lb + bh + hl)
= 2(3*6 + 6*10 + 10*3)
= 2(18 + 60 + 30)
= 2(108)
= 216cm²
write the slope intercept form of the equation of each line through the given points (4,-2) and (-5,3)
Answers
I need help with these 2 questions, This due very soon so please respond ASAP and I will mark brainliest if correct!
Answers
Answer:B,C
Step-by-step explanation:
the other do is always numbers with t be oossblie because of the quadratic formula
simplify....
please solve it.
Answers
(m/(n(m-n))) + (n/(m(n-m)))
Take mn(m-n)(n-m) as a common denominator
(m(m(n-m)) + n(n(m-n))) / (mn(m-n) (n-m))
= (m(mn-m^2) + n(nm-n^2)) / ((m^2n-mn^2)(n-m))
= (m^2n-m^3+n^2m-n^3) / (m^2n^2-m^3n-mn^3+m^2n^2)
= (m^2n-m^3+n^2m-n^3) / (2m^2n^2-m^3n-mn^3)
This is the final answer
Hope this helps :)
Solve for X please help
Answers
Answer:
x=−5.675726
Step-by-step explanation:
If the dimensions of a shipping box are all doubled, how many staplers can the larger box hold? 24 staplers 48 staplers 96 staplers 192 staplers
Answers
The larger box with all dimensions double the small box will hold 192 staplers.
We have one cubical box with a side of 6 inches.
What is a cube?A cube is a prism with a height equal to the side of the base.
One box contains 24 staplers.
If we make each side double we will get a total of 8 boxes same as the smaller box.
So, 8 boxes will contain = 8*24 =192 staplers.
Hence, the larger box with all dimensions double the small box will hold 192 staplers.
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Answer:
192 Staplers
Step-by-step explanation:
Easy Points!!
Question 7 of 10
Does the mapping diagram represent a function? Why or why not?
A. No; each input pairs with only one output.
B. No, the input value x = 3 pairs with two different output values.
O C. No; two output values pair with two different input values
O D. Yes; each input pairs with only one output.
Answers
Which function is shown in the graph below
Answers
Answer:
y=2x^+2+3
2nd bubble
please make this answer brainliest If I helped you!
What is the value of [ 3 × ( 8 − 2 ) ] 5 ? enter your answer in the box.
Answers
Answer:
90
Step-by-step explanation:
1st you solve for the 8-2 in the parentheses
[3 x 6] 5
Then solve what's in the brackets
[18]5
18 x 5 = 90
Andrea is an accountant who lives in the state of texas. which tax is she not responsible to pay? a. gasoline tax at the state level b. income tax at the national level c. inheritance tax at the state level d. payroll tax at the national level
Answers
The tax is Andrea not responsible to pay Payroll tax at the national level.
We have Andrea is an accountant who lives in the state of texas.
To determine the tax is she not responsible to pay
What is the Payroll tax?
The Payroll tax would include the deduction that was made to be allocated into her pension, medicare, or some form of investment.
Payroll tax is regulated under states law along with the policy from the company where she works.
So she's exempt from payroll at the national level.
Therefore option D is correct.
Thus the tax is Andrea not responsible to pay Payroll tax at the national level.
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Answer:
C. inheritance tax at the state level
Step-by-step explanation:
PLATO answer
help pls first correct answer gets brainleist
Answers
Partition the rectangle into 4 equal sections. Explain how you partitioned the rectangle.
Answers
Divide the rectangle in half vertical-wise and horzintal-wize. This creates four equal sections, or partitions the garden into quarters ([tex]\frac{1}{4}[/tex]).
See attached for an example.
Please note you can also divide it into four portions vertically or four portions horizontally and reach the same result of four quarters.
graph the inequality on the axis below x+6y<6
Answers
Answer:
Step-by-step explanation:
A. Give the measure of an exterior angle of each of the following regular polygons.
With a Solutions pls
1. Triangle
2. Octagon
3. Hexagon
Pls answer it correctly. need it tomorrow!
Answers
Answer:
120° , 45° , 60°
Step-by-step explanation:
the sum of the exterior angles of a polygon = 360°
the exterior angles of a regular polygon are congruent , then
(1) triangle with 3 sides
exterior angle = 360° ÷ 3 = 120°
(2) octagon with 8 sides
exterior angle = 360° ÷ 8 = 45°
(3) hexagon with 6 sides
exterior angle = 360° ± 6 = 60°