In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
Line 1
y = 3x + 2
Line 2
Table
m = ?
Step 02:
Line 1:
y = 3x + 2
slope L1 = 3
Line 2:
Table
point 1 (1 , 6 ) x1 = 1 y1 = 6
point 2 (3 , 10) x2 = 3 y2 = 10
slope formula:
\(m\text{ = }\frac{y2-y1}{x2-x1}=\frac{10-6}{3-1}=\frac{4}{2}=2\)slope L2 = 2
The answer is:
a. the slope of the graph of the equation is one more than the slope of the graph of the table.
Graph the approximate value of √15
_______ __________________________________
3.0 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9 4.0
is the √15 rational or irrational
Is the point you graphed an estimated or exact answer? Explain why
PLS HELP
Answer:
It is irrational
Step-by-step explanation:
√15=3.8•••
Simplify 3•2x. What is the coefficient?
2
3
6
X
Answer:
6x
Step-by-step explanation:
coefficient is 6
Quarters are currently minted with weights normally distributed and having a standard deviation of 0.065. New equipment is being tested in an attempt to improve quality by reducing variation. A simple random sample of 25 quarters is obtained from those manufactured with the new equipment, and this sample has a standard deviation of 0.047 . Use a 0.05 significance level to test the claim that quarters manufactured with the new equipment have weights with a standard deviation less than 0.065. Does the new equipment appear to be effective in reducing the variation of weights?
Answer:
Yes, the new equipment appear to be effective in reducing the variation of weights.
Step-by-step explanation:
We are given that Quarters are currently minted with weights normally distributed and having a standard deviation of 0.065.
A simple random sample of 25 quarters is obtained from those manufactured with the new equipment, and this sample has a standard deviation of 0.047.
Let \(\sigma\) = standard deviation of weights of new equipment.
SO, Null Hypothesis, \(H_0\) : \(\sigma \geq\) 0.065 {means that the new equipment have weights with a standard deviation more than or equal to 0.065}
Alternate Hypothesis, \(H_A\) : \(\sigma\) < 0.065 {means that the new equipment have weights with a standard deviation less than 0.065}
The test statistics that would be used here One-sample chi-square test statistics;
T.S. = \(\frac{(n-1)s^{2} }{\sigma^{2} }\) ~ \(\chi^{2}__n_-_1\)
where, s = sample standard deviation = 0.047
n = sample of quarters = 25
So, the test statistics = \(\frac{(25-1)\times 0.047^{2} }{0.065^{2} }\) ~ \(\chi^{2}__2_4\)
= 12.55
The value of chi-square test statistics is 12.55.
Now, at 0.05 significance level the chi-square table gives critical value of 13.85 at 24 degree of freedom for left-tailed test.
Since our test statistic is less than the critical value of chi-square as 12.55 < 13.85, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.
Therefore, we conclude that the new equipment have weights with a standard deviation less than 0.065.
The unit rate of change of y with respect to x is the
amount y changes for a change of one unit in a
The tablo below represents a proportional relationship
with constant unit rate of change of y with respect to .
Which describes a greater unit rate of change of y
with respect to x, the equation y = 11x or the table?
1 2 3
4
y 10 20
30
40
Choose 1 answer:
The table
The unit rates are the same.
The equation
Answer:
Step-by-step explanation:
The equation
claim: if x is even then 9x 5 is odd. prove the claim for all x < 0, using the smallest counterexample method.
The claim that if x is even then 9x - 5 is odd is false for all x < 0, as demonstrated by an example where x = -2 and 9x - 5 = -17, which is an even number.
The smallest counterexample method is used to prove that a claim is false by providing an example that does not follow the claim. To prove the claim that if x is even then 9x 5 is odd, for all x < 0, we can use the smallest counterexample method by finding the smallest value of x that would disprove the claim.
Let x = -2, then 9(-2) - 5 = -17. Since -17 is even, it does not follow the claim that if x is even then 9x - 5 is odd, thus disproving the claim for all x < 0.
To explain this with formula and calculation, let x = -2, then 9x - 5 = 9(-2) - 5 = -17. Since -17 is even, the claim that if x is even then 9x - 5 is odd is false. Therefore, the claim is false for all x < 0.
The claim that if x is even then 9x - 5 is odd is false for all x < 0, as demonstrated by an example where x = -2 and 9x - 5 = -17, which is an even number.
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water and food are products of?
a bowl holds 8 cups, Armando
mixed 2 1/2cups of flour together with
3/4 cups of sugar and 1/3 cup
of butter. How
many more cups of ingredients can this
bowl hold before it is full?
Answer:
4 3/4 cups PLEASE MARK ME BRAINLIEST
Step-by-step explanation:
Bowl = 8 cups
Armando first used 2 1/2 cups of flour. So, we need to do 8 - 2 1/2.
8 - 2 1/2 = 8/1 - 5/2
Find the common denominator:
8/1 - 5/2 = 8 x 2/1 x 2 - 5 x 1/2 x 1 = 16/2 - 5/2
Find the final answer:
16/2 - 5/2 = 11/2 = 5 1/2
Then, Armando used 3/4 cups of sugar. So, we need to do 5 1/2 - 3/4.
5 1/2 - 3/4 = 11/2 - 3/4
Find the common denominator:
11/2 - 3/4 = 11 x 2/2 x 2 - 3 x 1/4 x 1 = 22/4 - 3/4
Find the final answer:
22/4 - 3/4 = 19/4 = 4 3/4
Finally, Armando used 1/3 cup of butter. So, we need to do 4 3/4 - 1/3.
4 3/4 - 1/3 = 19/4 - 1/3
Find the common denominator:
19/4 - 1/3 = 19 x 3/4 x 3 - 1 x 4/3 x 4 = 57/4 - 4/12
Find the final answer:
57/4 - 4/12 = 53/12 = 4 5/12
If u like my explanation then plz follow me for more solutions
Select the graph of the solution. Click until the correct graph appears. |x| + 1 < 3
The solution to the given inequality is x<2. Therefore, option C is the correct answer.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
The given inequality is |x|+1<3.
Here, subtract 1 on both the sides of an inequality, we get
x<2
Therefore, option C is the correct answer.
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the positive square root of 28?
Answer:
is 4 i think
Step-by-step explanation:
Which number is rational, an integer, and a real number?
A. 5/7
B. There is no such number.
C. -5
D. 1.5
Answer:
-5
Step-by-step explanation:
H
6:00 PM
What is a frostbite?
could you pls help me i have the question in the picture ok
Step-by-step explanation:
the answer is 44 you have to multiply 3 and 11 and you'll get 8 then calculate 33-8 and then subtract and then you get 25 so you put 44
A certain state uses the following progressive
tax rate for calculating individual income tax:
Income
Range ($)
Progressive
Tax Rate
0-3000
2%
3001 - 5000
3%
5001 - 17,000
5%
17,001 and up
5.75%
Calculate the state income tax owed on a $90,000
per year salary.
tax = $[?]
Round your answer to the nearest whole dollar amount.
Enter
Answer:
$4918
Step-by-step explanation:
You want the tax owed on $90,000 using the given tax rate table.
Tax computationThe tax is the sum of the amounts of tax due in each income range.
tax = 0.0575(90,000 -17,000) +0.05(17,000 -5000) +0.03(5000 -3000) +0.02(3000)
= 0.0575(90,000) -(17000(.0575 -.05) +5000(.05 -.03) +3000(.03 -.02))
= 0.0575(90,000) -(127.50 +100 +30)
= 5175 -257.50 = 4917.50
Rounded to the nearest dollar, the tax due is $4,918.
__
Additional comment
The tax will be the maximum of ...
0.02x0.03x -30 . . . . . . . . . . applicable over 30000.05x -130 . . . . . . . . . .applicable over 50000.0575x -257.50 . . . . applicable over 17000You can compute them all and find the maximum, or you can choose the function applicable to the income amount. The result is the same.
<95141404393>
At a coffee shop, two sizes of coffee are sold. A medium coffee costs $3 , and a large coffee costs $5 . In the first hour after opening, 18 coffees were sold and the coffee sales totaled $68 . Write a system of equations that can be used to find the number of medium coffees, x , and the number of large coffees, y , sold in the first hour after opening.
The system of equations that can be used to find the number of medium coffees, x , and the number of large coffees, y , sold in the first hour after opening is x + y = 18 and 3x + 5y = 68.
What is a system of equations?
A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
We are given that;
Cost of medium coffee= $3
Cost of large coffee=$5
Price of 18 coffee= $68
Now, let x be the number of medium coffees sold and y be the number of large coffees sold in the first hour after opening.
We know that the total number of coffees sold is 18, so:
x + y = 18
We also know that the total sales from coffee is $68, and that the cost of a medium coffee is $3 and the cost of a large coffee is $5, so we can write:
3x + 5y = 68
Therefore, the equations will be x + y = 18 and 3x + 5y = 68.
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Please help i need to get these right or i fail WILL GIVE BRAINLEST!!!
Answer:
Give brainly to other guy
Step-by-step explanation:he deserves it
Line segment BA¯¯¯¯¯¯¯¯ has endpoints B(−3,0) and A(5,4). What are the coordinates of the point located 14 of the way from B to A?
(1,2)
(3,3)
(−1,1)
(1,−1)
Answer: P'(9, -1), L'(3, 1)
Step-by-step explanation:
I dont have a an explanation but this is the correct answer.
PLEASE TELL ME THE NEXT STEP
Answer:
Square 4 to get 2 and \(\sqrt{24}\). The \(\sqrt{24}\) can be squared to \(\sqrt{4}\) and \(\sqrt{6}\). The 4 can be squared to 2, as well. So you would have to multiply 2 by 2 to get 4\(\sqrt{6}\).
Step-by-step explanation:
I think what the other answer tries to tell you :
find a small square number (4 or 9) that is a factor of the total number we try to pull the square root from.
that is what lead to the first step by finding that 96 = 24×4
now we repeat this again on our way to the second step, as 4 is a factor of 24 too : 24 = 6×4.
for 6 we cannot find any useful square number as a factor (besides 1, but that does not help). so, the process ends there and we get
sqrt(6)×sqrt(4)×sqrt(4) = sqrt(6)×2×2 = 4×sqrt(6)
What is the probability that more than 150 of the sampled bills are for amounts greater than $1000?.
The probability that the average amount billed on the sample bills is greater than $1000 is 0.0668.
What is Probability?The probability of an event is a number that indicates how likely the event is to occur. It is expressed as a number in the range from 0 and 1, or, using percentage notation
a. Let X be the amount paid by a certain credit card service.
From the details supplied, the X-bar is $485, the standard deviation is $300 and n=900.
By the central limit theorem when the sample size is high, the sample mean fits the normal distribution with the mean μ and the standard deviation function
So the likelihood that the total sum paid on the sample bills is greater than $500 is seen.
= P ( Z > 1.5 )
= 1 - 0.93319
{ From excel function =NORM.DIST(1.5,0,1,TRUE)
= 0.0668
Thus, the probability that the average amount billed on the sample bills is greater than $1000 is 0.0668.
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complete question:
Among all monthly bills from a certain credit card company, the mean amount billed was $485 and the standard deviation was $300. In addition, for 15% of the bills, the amount billed was greater than $1000. A sample of 900 bills is drawn. What is the probability that the average amount billed on the sample bills is greater than $500? What is the probability that more than 150 of the sampled bills are for amounts greater than $1000
Example 5:
Alexa purchased a laptop for $ 1,283 and a printer for $689. How much did she pay for the Laptop and printer
before tax?
126×(−55)+126×5 STEP explanation
Maria solved the equation.
4 (3 x minus 8) minus 4 = 24. 12 x minus 32 minus 4 = 24. 12 x minus 36 = 24. 12 x = 60. x = 5.
What methods did she use and in what order did she use them?
combining like terms
distributive property
addition property of equality
division property of equality
distributive property
addition property of equality
subtraction property of equality
division property of equality
distributive property
combining like terms
addition property of equality
division property of equality
distributive property of equality
addition property of equality
combining like terms
division property of equality
Answer:
giyhkbn m
Step-by-step explanation:
iygb;hbybhkm,=-098765
huih
86
8gb 86567890
Answer:
D. distributive property of equality
addition property of equality
combining like terms
division property of equality
Step-by-step explanation:
I am doing the test
Good Luck:)
Select the correct answer.
Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = f(x - 11)?
A. It is the graph of f(x) where the slope is increased by 11.
It is the graph of f(x) translated 11 units to the left.
It is the graph of f(x) translated 11 units up.
It is the graph of f(x) translated 11 units to the right.
B.
C.
OD.
The correct answer is C. It is the graph of f(x) translated 11 units to the left.
The correct answer is:
C. It is the graph of f(x) translated 11 units to the left.
When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.
In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.
The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.
Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.
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Please please help me!!
solve the system of equations by the substitution method.
{ 4x - 5y = 19
{ y = x - 4
select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The solution is __ (Simplify your answer. Type an ordered pair.)
B. There are infinitely many solutions.
C. There is no solution.
Answer:
A. The solution is (1, -3)
Step-by-step explanation:
4x - 5y = 19
y = x - 4
Since the second equation already has y isolated, you can just plug that into the first equation:
4x - 5(x - 4) = 19
4x - 5x + 20 = 19
-x = -1
x = 1
Take your x value from the previous equation answer and plug that into the second equation:
y = (1) - 4
y = -3
Final solution:
(1, -3)
If you really want to know if you're correct, just do a LS/RS check for both equations:
4(1) - 5(-3) = 19
19 = 19
LS = RS
-3 = 1 - 4
-3 = -3
LS = RS
Answer:
A : 1,-3
so you substitute y= x-4 into 5y to make the equation look like 4x-5(x-4)=19 then you do -5 times (x-4) which should get you -5x and 20 so now the equation looks like this 4x-5x + 20 =19 then you combine like terms like 4x-5x which should get you -1x after you do that you subtract 20 from both sides of the equation and that should also get you -1 After you do all of that you divide by 1 on both sides and them you get your x term which is x= 1 now you can plug that into this equation y=x-4 now that equation will be y=1-4 and that is y=-3 so your answer is 1,-3
IF YOU DONT WANT TO DO ALL OF THAT BY HAND YOU CAN ALWAYS PLUG THAT EQUATION INTO DESMOS GRAPHING CALCULATOR AND YOU JUST HAVE TO FIND THE POINT WHERE THE LINE INTERSECTS
A person travels 620 mi in 10 hours. What is the rate in miles per hour?
Answer:
62 miles per hour
Step-by-step explanation:
620mile/10hrs
62miles/hr
62 miles per hour
7 centimeters =
millimeters
Answer: 7 centimeters equals 70 millimeters :)
Does the point (-3,5) lie inside,outside or on the circle with the equasion (x+2)^2+(y-4)^2=9
. let x denote the annual salary of scientists in the united states, measured in thousands of dollars. suppose that e[x]
The standard deviation is $8,000. So, the standard deviation measured in thousands of dollars, is 8. and The mean is the average. So the average, measured in thousands of dollars, is 56.
Average salary: 56
Standard deviation of the salary: 8
$56,000 dollars is 56 thousand dollars.
$8,000 is 8 thousand dollars.
The mean is the average. So the average, measured in thousands of dollars, is 56.
The standard deviation is $8,000. So, the standard deviation measured in thousands of dollars, is 8.
complete question
Let X denote the average starting salary for 2014 U.S. college graduates, measured in dollars. Suppose that the average annual salary is $56,000 dollars, with a standard deviation of 8,000. Find the mean and standard deviation when salary is measured in thousands of dollars.
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Malcolm has $50 gift card to a local car wash and order is the ultimate car wash each visit is $8.95
The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.
The correct answer choice is option B.
How much cheaper is the car washes Malcolm orders than the car washes Martha's order?Malcolm's gift card = $50.
Cost Malcolm's car wash per visit = $7
Martha's gift card = $180
Cost Martha's car wash per visit = Difference between gift card balance of first and second visit
= $180 - $160
= $20
How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7
= $13
Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13
The complete question is attached in the diagram.
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Katie's earnings, E , for a week are given by the equation E = 18h, where H is the number of hours that Katie works during the week. If Katie works 40 hours per week for 4 weeks, how much money will she earn during the 4-week period?
Answer:
$2,880
Step-by-step explanation:
18 x 40 = 720 earned per week
720 x 4 (weeks) = 2880 earned in 4 weeks
When Ibuprofen is given for fever to
children 6 months of age up to 2 years, the
usual dose is 5 milligrams (mg) per kilogram
(kg) of body weight when the fever is under
102.5 degrees Fahrenheit. How much
medicine would be usual dose for a 18
month old weighing 21 pounds?
milligrams
Round your answer to the nearest milligram.
Answer: The usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen.
Step-by-step explanation: To find the usual dose of ibuprofen for a child, we need to follow these steps:
Convert the child’s weight from pounds to kilograms. One pound is equal to 0.4536 kilograms, so we multiply 21 by 0.4536 to get 9.5256 kilograms.Multiply the child’s weight in kilograms by the dose per kilogram. The dose per kilogram is 5 mg when the fever is under 102.5 degrees Fahrenheit, so we multiply 9.5256 by 5 to get 47.628 mg.Round the result to the nearest milligram. To round a number to the nearest milligram, we look at the digit after the decimal point. If it is 5 or more, we add one to the digit before the decimal point and drop the rest. If it is less than 5, we keep the digit before the decimal point and drop the rest. In this case, the digit after the decimal point is 6, which is more than 5, so we add one to the digit before the decimal point and drop the rest. The result is 48 mg.Therefore, the usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen. Hope this helps, and have a great day! =)