The slope is 4 and x-intercept as the line 3x+y=18 the, the equation is 3x - 4y + 12 = 0.
What is slope and equation?
A line's steepness can be determined by looking at its slope. Slope is calculated mathematically as "rise over run" (change in y divided by change in x). The slope-intercept form of an equation is used whenever the equation of a line is expressed in the form y = mx + b. M represents the line's slope. B is the b in the location where the y-intercept is located (0, b).Given :
Slope = 4 ; equation, 3x + y = 18.
y = -3x + 18
Slope = -3
x/a + y/b = 1
x/4 + y/-3 = 1
-3x + 4y = -12
3x - 4y + 12 = 0
Hence, the slope is 4 and x-intercept as the line 3x+y=18 the, the equation is 3x - 4y + 12 = 0.
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Simply the expression 11s(4)
44s
Explanation:\(\begin{gathered} \text{Given:} \\ 11s(4) \end{gathered}\)To simplify the expression, we will expand the parenthesis:
\(\begin{gathered} 11s(4)\text{ = 11s }\times\text{ 4} \\ 11\text{ and 4 are numbers so we will multiply them together} \\ 11\text{ }\times\text{ 4 = 44} \end{gathered}\)\(\begin{gathered} 11s(4)\text{ = 11 }\times\text{ s }\times\text{ 4} \\ =\text{ 44 }\times\text{ s} \\ =\text{ 44s} \end{gathered}\)Determine whether the given value is a statistic or parameter a survey found at 97% of all respondents have jobs
Answer:
b) The value is a statistic because it is a numerical measurement describing some characteristic of a sample
There are 7 students in a class: 5 boys and 2 girls.
If the teacher picks a group of 4 at random, what is the probability that everyone in the group is a boy?
Answer:
4/7
Step-by-step explanation:
5+2=7
7 children
4 boys Out of 7 children
Answer:1/7
Step-by-step explanation:
Khan academy
Round off each of the following number to the nearest tenth and hundredths 0.673
Answer:
.67
Step-by-step explanation:
When it comes to rounding anything 4 or below you round down. anything 5-9 you round up. For example: 4.56 would round up to 4.6 because 6 is more than 4. and 6.21 would round down to 6.2....
The sum of two numbers is 56. The difference of the 2 numbers is 16. What
is the product of the two numbers?
OA) 720
B) 735
OC) 748
OD) 759
Please help me!
Answer:
X+y=56 equation 1
X-y=16 equation 2
X+y+x-y=56+16
2x=72(divide Both side by 2)
X=36
X+y=56(from equation 1 to find y)
36+y=56
Y=56-36
Y=20
So their product is xy
36×20
720
So the answer is 720
the marching band walks 1/15 mi in 1.5 min. at this rate, how many minutes will it take to complete 1 mile? Record your answer on the grid. Then fill in the bubbles
i need help urgent this is to hard for me to do
Answer:
( 7 , 4 )
given:
4x + 10y = 684x - y = 24make y the subject in equation 2:
4x - y = 24
-y = 24 - 4x
y = 4x - 24
insert this in equation 1:
4x + 10y = 68
4x + 10(4x - 24) = 68
4x + 40x - 240 = 68
44x = 68 + 240
44x = 308
x = 7
solve for y:
y = 4x - 24
y = 4(7) - 24
y = 4
Which number is NOT a common
of the fractions being
denominator
added?
2/9 + 5/12
A 108
(B) 72
(C) 36
(D) 24
Check the picture below.
now, doing a prime factoring on both the denominators, notice, the repeated factors get used only once in the LCD calculation, so the red "3" only goes once in the LCD and then the others, so the LCD for both of those is 3*3*2*2 = 36.
"L" in LCD stands for Least, so that's the smallest, however we can have a CD that's no small and is simply a multiple of the LCD, let's check who isn't an LCD or CD
\(\begin{array}{rllll} 108=3\cdot 36 & \bigotimes\\\\ 72=2\cdot 36& \bigotimes\\\\ 36=1\cdot 36&\bigotimes\\\\ 24&\textit{\LARGE \checkmark} \end{array}\)
The graph below shows the ages of the top five male finishers in the Mt. Washington Auto Road Bicycle Hillclimb each year from 2017 through 2021.
1. Write the relation of this situation as a set of ordered pairs in terms of (age, finishing place).
2. Identify the domain and range of the relation.
3. Do the ordered pairs represent a function? Explain.
From the given table, we have that:
1. The relation of the situation is: (20,2), (22.5, 5), (25,4), (27.5, 4), (29,4), (29,5), (30,1), (30,2), (30,3), (30,4), (30,5), (32.5, 1), (32.5, 3), (35,4), (40,2), (42.5, 3).
2. The domain is {20, 22.5, 25, 27.5, 29, 30, 32.5, 35, 40, 42.5} and the range is {1, 2, 3, 4, 5}.
3. There are inputs such as 25, 29, 30 and 32.5 that are mapped to multiple outputs, hence the relation does not represent a function.
What is the relation of this situation?
To build the relation, we look at the graph, and write all pairs of (Age, Finishing Place), as follows:
(20,2), (22.5, 5), (25,4), (27.5, 4), (29,4), (29,5), (30,1), (30,2), (30,3), (30,4), (30,5), (32.5, 1), (32.5, 3), (35,4), (40,2), (42.5, 3).
What are the domain and the range?The domain of a relation is the set that contains all possible input values for the values, that is, the values of x.The range of a relation is the set that contains all possible output values for the values, that is, the values of y.Hence, for the given relation:
The domain is {20, 22.5, 25, 27.5, 29, 30, 32.5, 35, 40, 42.5} and the range is {1, 2, 3, 4, 5}.
When does a relation represents a function?A relation represents a function if each value of the input is mapped to only one value of the output.
For this problem, we have that:
There are inputs such as 25, 29, 30 and 32.5 that are mapped to multiple outputs, hence the relation does not represent a function.
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PLS HELP ME ANSWER THIS QUESTION..
Answer:
b. 4
c. 90⁰
Step-by-step explanation:
a. is in the diagram
1. A survey of 700 households revealed that 300 had only a TV, 100 had only a computer, and 100 had neither a TV nor a computer. How many households have both a TV and a computer? Solve using a Venn Diagram
Given the first term and the common difference of an arithmetic sequence find the explicit formula.
a1 = 28, d = 10
Answer:
an = 28 +10(n -1)
Step-by-step explanation:
The general form of the explicit formula for an arithmetic sequence is ...
an = a1 +d(n -1)
Using the given values, we find your explicit formula to be ...
an = 28 +10(n -1)
What is the value of p in the equation \(.34p+.49f=5\)
Answer:
ask siri
Step-by-step explanation:
go to your phone
go to siri
and then ask her
what is the answer to 4x - 6 ≥ 6x - 20
Answer: x ≤ 7
Step-by-step explanation:
Answer:
x\(\leq\)7
Step-by-step explanation:
4x-6\(\geq\)6x-20
First get x on one side.
So substract 6x on each side to get:
4x-6x-6\(\geq\)-20
Then add 6 on each side to get:
4x-6x\(\geq\)-14
Simplify.
-2x\(\geq\)-14
Divide each side by -2 to get x alone.
*Remember that when dividing by a negative sign is fliped.
x\(\leq\)-14/-2
Simplify.
x\(\leq\)7
(a). Solve for x if 133x = 43 seven
(). Given that fix - 2x2 - 8x + 5 and g: x - x -2
(i). Calculate f(-3)
(ii). Find the values of x, such that f(x) = g(x)
Step-by-step explanation:
*Syntax Error*
just consult with your teacher
Identify the number of solutions of the system of linear equations.
x=y+3z=6
x-2y = 5
2x - 2y + 5z = 9
no solution
exactly one solution
infinitely many solutions
Solve the system. If there are infinitely many solutions, write the ordered triple in terms of z. If there is no solution, lea
The solution is (x, y, z)
-1.2
3
The solution to the system of linear equations is (x, y, z) = (64/11, 37/11, 9/11). The system has exactly one solution.
Let's solve the system of linear equations correctly.
The given system of linear equations is:
x = y + 3z = 6
x - 2y = 5
2x - 2y + 5z = 9
To determine the number of solutions, we can analyze the system using the method of elimination or substitution. Let's use the method of elimination:
From equation 1, we have:
x = y + 3z
Substituting this value of x in equation 2:
(y + 3z) - 2y = 5
y + 3z - 2y = 5
-z + 3z = 5 - y
2z = 5 - y
Now, let's substitute the value of x in equation 3:
2(y + 3z) - 2y + 5z = 9
2y + 6z - 2y + 5z = 9
11z = 9
Simplifying the equation, we find:
z = 9/11
Now, substituting this value of z back into the equation 2z = 5 - y, we get:
2(9/11) = 5 - y
18/11 = 5 - y
18/11 - 5 = -y
18/11 - 55/11 = -y
-37/11 = -y
y = 37/11
Finally, we can substitute the values of y and z into equation 1 to find the value of x:
x = y + 3z
x = 37/11 + 3(9/11)
x = 37/11 + 27/11
x = 64/11
Therefore, the solution to the system of linear equations is (x, y, z) = (64/11, 37/11, 9/11).
The system has exactly one solution.
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i need help with 5/8 x 4/9 show your work
When we need to multiply two fractions, multiply the two numerators, then multiply the denominators and finally, simplify the new fraction, like this:
\(\frac{5}{8}\times\frac{4}{9}=\frac{5\times4}{8\times9}=\frac{20}{72}=\frac{10}{46}=\frac{5}{23}\)Marian is 29 and her base premium for auto insurance is $1239.
What does she pay in total premiums?
O$1239.00
O$1379.80
O $1551.60
O $1610.70
Answer: $1239.00
Step-by-step explanation:
I had to recheck on this.
For females that are ages 25-29, they have base auto insurance rate, meaning that the rate is set at 1. So multiply the base premium and base rate, 1239x1, and obviously it's the same 1239.
Hope this helped.
If the time is given in months, you must first _____________ by 12.
Answer:
Multiply
Step-by-step explanation:
I'm assuming you are turning months into years to do so you would multiply the time in months by 12 to get the time in years
The area of the basketball court is \(30\sqrt{20\) meters squared. Given that the length of the court is \(6\sqrt{5\) meters, what is the width in the simplest form?
The width of the basketball court is 10 meters
The area of the basketball court = \(30\sqrt{20}\) meter square
The length of the basketball court = \(6\sqrt{5}\) meters
The shape of the basketball court is rectangle, we have to find the width of the basketball shape
The area of the basketball court = The length of the basketball court × The width of the basketball court
Then width of the basketball court = The area of the basketball court / The length of the basketball court
Substitute the values in the equation
Then width of the basketball court = \(30\sqrt{20}\) ÷ \(6\sqrt{5}\)
Divide the terms
= 10 meters
Hence, the width of the basketball court is 10 meters
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What is the solution set for - 6x - 14 ≤ 4?
A x ≤ - 3
B x ≥ - 3
C x ≤ 1 1/3
D x ≥ 1 1/3
Answer:
-6x-14<-4
-6x<4+14
-6x<18
divide both side by -6
x<-3
Step-by-step explanation:
answer A
Quadrilateral PAID is a rectangle whose diagonals have the endpoints P(-3, -2)I(4, -7) and A(4, -2)D(-3, -7). Find the diagonals' intersection point. In complete sentences, explain which method you used for finding the intersection point.
Complete your work in the space provided or upload a file that can display math symbols if your work requires it. If necessary, leave your answers in terms of a fraction.
PLS I NEED ANSWER ASAP!!!!
Step-by-step explanation:
step 1 find thd equation of line PI
step 2 find the equation of line AD
step 3 solve the two equations of the 2 lines
step 4 the valued of x and y obtained from step 3are yhe coordinates of the intetcept
BRAINLIEST TO THE FIRST PERSON TO ANSWER!!Maria solved an equation as shown below.
3 (x + 6) = 5 (x minus 4). 3 x + 18 = 5 x minus 20. 38 = 2 x. 19 = x.
What is the solution to Maria’s equation?
19
38
no solution
infinitely many solutions
Answer:
19
Step-by-step explanation:
3(x + 6) = 5(x - 4)
Distribute on both sides.
3x + 18 = 5x - 20
Subtract 3x from both sides. Add 20 to both sides.
38 = 2x
Divide both sides by 2.
19 = x
Maria followed the steps shown above and solved the equation correctly.
The solution is x = 19.
Answer: x = 19
Answer:
A. 19
Have a great day :D
Write the quadratic equation in standard form:
-12x + x² + 14 = -5x
I Got u Bro Answer: x2-7x+14=0
Answer:
Step-by-step explanation:
X^2-7x+14=0
1- Assume X is a Normal random variable with mean 20 and variance 25. Find the following:
(a) P (X < 15)
(b) P (X > 30)
(c) P (18 ≤ X ≤ 25)
2. Assume ∼(0,1). Find the following:
(a) a such that P (X < a) = 0.95
(b) b such that P (X ≤ b) = 0.05
(c) c such that P (X > c) = 0.8485
1) The value of given random variable having mean 20 and variance 25 is (a) 0.1587, (b) 0.0228 and (c) 0.5328.
2) The z-score corresponding to a probability of a) 0.95 is 1.645, b) 0.05 is -1.645 and c) 0.1515 is -1.04.
What about mean?The mean is a measure of central tendency, which represents the average value of a set of numbers. It is calculated by adding up all the values in the set and then dividing by the total number of values.
According to question:1) (a) We can standardize the random variable X using the formula z = (X - μ) / σ, where μ is the mean and σ is the standard deviation. Therefore,
z = (15 - 20) / 5 = -1
Using a standard normal distribution table or calculator, we can find P(Z < -1) = 0.1587.
(b) Similarly, we have
z = (30 - 20) / 5 = 2
Using the standard normal distribution table or calculator, we can find P(Z > 2) = 0.0228.
(c) To find P(18 ≤ X ≤ 25), we can again standardize the random variable:
z1 = (18 - 20) / 5 = -0.4
z2 = (25 - 20) / 5 = 1
Then we can use the standard normal distribution table or calculator to find P(-0.4 ≤ Z ≤ 1) = 0.5328.
2) (a) Since we are given that X is a standard normal random variable, we can use the standard normal distribution table or calculator to find the value of a such that P(X < a) = 0.95. From the table, we find that the z-score corresponding to a probability of 0.95 is 1.645. Therefore,
a = μ + σ * z = 0 + 1 * 1.645 = 1.645
(b) Similarly, we can find the value of b such that P(X ≤ b) = 0.05 using the standard normal distribution table or calculator. From the table, we find that the z-score corresponding to a probability of 0.05 is -1.645. Therefore,
b = μ + σ * z = 0 + 1 * (-1.645) = -1.645
(c) We want to find the value of c such that P(X > c) = 0.8485. Since the normal distribution is symmetric about the mean, we know that P(X > c) = 1 - P(X < c), so we can find the value of c such that P(X < c) = 1 - 0.8485 = 0.1515. From the standard normal distribution table, we find that the z-score corresponding to a probability of 0.1515 is -1.04. Therefore,
c = μ + σ * z = 0 + 1 * (-1.04) = -1.04.
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The following data show the lengths of boats moored in a marina. The data are ordered from smallest to largest:16 ; 17 ; 19 ; 20 ; 20 ; 21 ; 23 ; 24 ; 25 ; 25 ; 25 ; 26 ; 26 ; 26 ; 27 ; 27 ; 28 ; 29 ; 29 ; 32 ; 33 ; 33 ; 34 ; 35 ; 37 ; 39 ; 43 Calculate the mean.Round your answer to two decimal places. Number Identify the median.Enter the exact answer. Number Identify the mode.
Solution:
Given the following data:
The mean is expressed as
\(\begin{gathered} mean=\frac{sum\text{ of variables}}{number\text{ of variables}} \\ =\frac{\sum x}{n} \end{gathered}\)Thus, we have
\(\begin{gathered} mean=\frac{739}{27} \\ =27.37037037037 \\ \therefore \\ mean=27.37 \end{gathered}\)Hence, the mean is evaluated to be
\(27.37\text{ \lparen2 decimal places\rparen}\)6. Mrs. Martinez graphed the transformation shown below. Which algebraic representation shows the effect of the transformation on each ordered pair?
Answer:
C)
Step-by-step explanation:
\( \frac{14}{14 \frac{1}{8} } \)find the real solution(s) of the equation
When solving a system of equation Jared found?
Nicole and Jared are both accurate. To generate an equation with just one variable, you can solve for either variable and then use the equivalent expression.
In the given question, when solving a system of equations, Jared found y = x + 10 for one equation and substituted x + 10 for y in the other equation.
Nicole found x = y - 10 for the same equation and substituted y - 10 for x in the other equation.
We have to check who is correct.
Nicole and Jared are both accurate. To generate an equation with just one variable, you can solve for either variable and then use the equivalent expression. You can then resolve. In contrast to Nicole, who would have produced a one-variable equation that can be used to solve for y, Jared would have produced an equation with just one variable that can be used to get the value of x.
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The right question is:
When solving a system of equations, Jared found y = x + 10 for one equation and substituted x + 10 for y in the other equation. Nicole found x = y - 10 for the same equation and substituted y - 10 for x in the other equation. Who is correct? Explain.
The ages of MBA students at a university are normally distributed with a known population variance of 10.24. Suppose you are asked to construct a 95% confidence interval for the population mean age if the mean of a sample of 36 students is 26.5 years. What is the margin of error for a 95% confidence interval for the population mean
Answer:
The margin of error for a 95% confidence interval for the population mean is of 1.05 years.
Step-by-step explanation:
We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:
\(\alpha = \frac{1-0.95}{2} = 0.025\)
Now, we have to find z in the Ztable as such z has a pvalue of \(1-\alpha\).
So it is z with a pvalue of \(1-0.025 = 0.975\), so \(z = 1.96\)
Now, find the margin of error M as such
\(M = z*\frac{\sigma}{\sqrt{n}}\)
In which \(\sigma\) is the standard deviation of the population(square root of the variance) and n is the size of the sample.
What is the margin of error for a 95% confidence interval for the population mean
36 students, so \(n = 36\)
Variance of 10.24, so \(\sigma = \sqrt{10.24} = 3.2\)
\(M = 1.96*\frac{3.2}{\sqrt{36}} = 1.05\)
The margin of error for a 95% confidence interval for the population mean is of 1.05 years.