What is the slope of the line?
Answer:
It could be 0, is the question multiple choice?
a horizontal line always has a slope of 0, now, for the sake of a silly proof, let's do some rigamarole to get it.
to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below
\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{7}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{7}-\stackrel{y1}{7}}}{\underset{\textit{\large run}} {\underset{x_2}{7}-\underset{x_1}{(-3)}}} \implies \cfrac{0}{7 +3} \implies \cfrac{ 0 }{ 10 } \implies \stackrel{ }{\text{\LARGE 0}}\)
A. What is a reasonable number of rows for the
study hall? What is a reasonable number of
desks?
The identifiable number of rows and desks in the picture of the study hall are :
2 rows of desks 10 desks.The Number of rows refers to the Number of horizontal arrangement of objects in an area.
From the picture, the number of horizontal arrangements is TWO. HENCE, The Number of rows = 2 The number of desks is the number of each independent seat in the picture. The number of desks identified is 10.Therefore, the Number of rows and desks in the study hall are 2 and 10 respectively.
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Hi can someone please help me solve the following system of inequalities and state the coordinates in the solution setz
The graph of the system of the inequalities is attached.
To graph the inequalities y < -x - 4 and y ≥ (3/5)x + 4, we can start by graphing the corresponding equations and then shade the appropriate regions based on the inequality signs.
Let's begin with the equation y = -x - 4:
Choose a range of x-values to plot.
For simplicity, let's use x-values from -10 to 10.
Substitute different x-values into the equation to find corresponding y-values.
For example:
When x = -10, y = -(-10) - 4 = 10 - 4 = 6.
When x = 0, y = -(0) - 4 = -4.
When x = 10, y = -(10) - 4 = -10 - 4 = -14.
Plot these points on the coordinate plane and draw a straight line passing through them.
This line represents the equation y = -x - 4.
Next, let's graph the equation y = (3/5)x + 4:
Again, choose a range of x-values to plot. Let's use the same range of -10 to 10.
Substitute different x-values into the equation to find corresponding y-values. For example:
When x = -10, y = (3/5)(-10) + 4 = -6 + 4 = -2.
When x = 0, y = (3/5)(0) + 4 = 0 + 4 = 4.
When x = 10, y = (3/5)(10) + 4 = 6 + 4 = 10.
Plot these points on the coordinate plane and draw a straight line passing through them.
This line represents the equation y = (3/5)x + 4.
Now, let's shade the regions based on the inequalities:
For y < -x - 4, we need to shade the region below the line y = -x - 4.
For y ≥ (3/5)x + 4, we need to shade the region above or on the line y = (3/5)x + 4.
Hence, the region where the shaded regions overlap represents the solution to both inequalities.
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3. suppose that a particular nfl team claims that the mean weight of their defensive players is 315 pounds. a rivaling team thinks that the mean weight of the defensive players on that team is different from 315 pounds they claim. suppose they sample 15 of the defensive players and find the players to have a mean weight of 300 pounds with sample standard deviation 8 pounds. set up an appropriate hypothesis test and make conclusions at significance level 0.08. assume weights are normally distributed.
We reject null hypothesis when hypothesis test, draw conclusions at significance level 0.08.
Given that,
Consider an NFL team that says the average weight of its defensive players is 315 pounds. A opposing team believes that their defensive players' average weight is lower than the 315 pounds they state. Consider that they take 15 defensive players as a sample and discover that the average weight of the players is 300 pounds, with an 8-pound sample standard deviation.
We have to create a suitable hypothesis test, draw conclusions at significance level 0.08, and then. Suppose that the weights are evenly distributed.
We know that,
Weights are normally distributed.
We are given μ = 315 , n= 15 , x = 300, s = 8, α = 0.08
The hypothesis are :
H₀ : μ = 315 v/s H₁ : μ ≠ 315
The test statistic is given by,
z=x-μ/σ/√15
=300-315/8/√15
=-7.26
The critical value = z(α) = z(0.04) = -1.75 and z(1-α) = z(1-0.04) = 1.75
Here calculated value of z > critical value of z
Therefore, we reject null hypothesis when hypothesis test, draw conclusions at significance level 0.08.
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A rivet is to be inserted into a hole. If the standard deviation of hole diameter exceeds 0.02 mm, there is an unac- ceptably high probability that the rivet will not fit. A random sample of n = 15 parts is selected, and the hole diameter is measured. The sample standard deviation of the hole diameter measurements is s = 0.016 mm. (a) Is there strong evidence to indicate that the standard deviation of hole diameter exceeds 0.02 mm? Calculate a P-value to draw conclusions. State any necessary assumptions about the underlying distribution of the data. (b) Construct a 95% lower confidence bound for o. (c) Use the confidence bound in part (b) to test the hypothesis.
Since our test statistics ( 8.96 ) is less than the critical value ( 29.141 ),
there is no strong evidence to indicate that the standard deviation of hole diameter exceeds 0.02 millimeters.
Given that;
H₀ : σ = 0.02
H₁ : σ > 0.02
The test statistics is;
X² = ( n-1 )s² / σ² = ( 15 - 1)(0.016)² / (0.02)²
= 0.003584 / 0.0004
= 8.96
degree of freedom
df = n - 1 = 15 - 1 = 14
For right tailed test, critical value at 0.01 level of significance is 29.141.
Now since our test statistics ( 8.96 ) is less than the critical value (29.141 ),
Therefore, there is no strong evidence to indicate that the standard deviation of hole diameter exceeds 0.02 millimeters.
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On 25 March 1965, Martin Luther King led thousands of nonviolent demonstrators on a 5-day, 54-mile march from Selma, Alabama to the steps of the capitol in Montgomery, Alabama.
A court order restricted the number of marchers to 300 when passing over a stretch of two-lane highway. However, on the final day of the march, when the road reached four lanes the number of demonstrators swelled to 25,000.
What was the percentage of increase?
The percentage increase is 88%.
What is percent increase?The difference between the final value and the starting value, stated as a percentage, is known as a percentage increase. The initial value and the enhanced (new) value are required in order to calculate the percentage.
Percentage Increase = [(Final Value - Initial Value)/Initial Value] × 100
Given:
Initially, number of marchers = 300
Finally, number of marchers = 25000
Change in amount = 25000- 300 = 22000
Now, the percent increase
=22000 / 25000 x 100
= 22/25 x 100
=22 x 4
= 88
Hence, the percentage increase is 88%.
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BEST GETS BRAINLIEST JUST NEED CONFIRMATION TAHT I GOT IT RIGHT ANY HELP IS APPRECIATED
Answer:
2) Correct
3) Correct
4) Correct
5) Correct
U got them all correct! Nice
Step-by-step explanation:
a company sells stock for 10 and 1/4, how much will 128 cost
Answer:
$1312 .
Step-by-step explanation:
Q1. An industry analyst wants to compare the average salaries of two firms, both to each other and to the industry. Firm A's average salary is 93% of the industry average, Firm B's average salary is $58,000, and the industry average salary is 96% of Firm B's average salary. a. Determine the industry average salary. b. Determine Firm A's average salary. c. Express Firm B's average salary as a percentage of Firm A's average salary. Round the percentage to two decimals.
a.The Industry Average Salary is $55,680. b.The Firm A's Average Salary is $51,718.40 .c. Firm B's average salary is approximately 112.27% of Firm A's average salary.
a. To determine the industry average salary, we can use the information that the industry average salary is 96% of Firm B's average salary. Firm B's average salary is $58,000. Therefore, we can calculate the industry average salary as follows:
Industry Average Salary = 96% of Firm B's Average Salary
= 0.96 * $58,000
= $55,680
b. Firm A's average salary is stated as 93% of the industry average salary. To calculate Firm A's average salary, we can multiply the industry average salary by 93%:
Firm A's Average Salary = 93% of Industry Average Salary
= 0.93 * $55,680
= $51,718.40
c. To express Firm B's average salary as a percentage of Firm A's average salary, we can divide Firm B's average salary by Firm A's average salary and multiply by 100:
Percentage = (Firm B's Average Salary / Firm A's Average Salary) * 100
= ($58,000 / $51,718.40) * 100
≈ 112.27%
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Steven has 1/3 of package of biscuit mix left.He will use equal para of the leftover mix to make three watches of biscuits. If he uses all of the mix, what fraction of the original package will he use for each batch?
Answer:
1/9
Step-by-step explanation:
(1/3)/3 = 1/9
A square based prism and a cylinder both have
the same height of 12 in. and the same base
area. The volume of the cylinder is 3768 in.?
Based on the concepts of Cavalieri's principle,
what is the perimeter of the base of the prism?
Answer:
Parameter of base = 70.88 inch (Approx.)
Step-by-step explanation:
Given:
Volume of cylinder = 3768 cubic inch
Height of Prism = 12 inch
Find;
Parameter of base
Computation:
Volume of cylinder = Volume of Prism
3768 = (L)(B)(H)
3768 = (L)(B)(12)
(L)(B) = 314
L = B
So.
L = 17.72 inch
B = 17.72 inch
Parameter of base = 2[l+b]
Parameter of base = 2[17.72 + 17.72]
Parameter of base = 70.88 inch (Approx.)
BRAINLIESTT!!
13POINTS
A construction crew built 1/2 miles of road in 1/4 days.
What is the unit rate in miles per day?
Write your answer in simplest form.
Answer:
2
Step-by-step explanation:
1/2 x 4 = 2
No problem :) remember to give me brainliest :0
Answer:
2 miles per day
Step-by-step explanation:
First make sure they both have a common denominator.
1/2=2/4miles per 1/4 of a day
You multiply both by 4.
This gives you a ratio of 2:1
2 miles per day
PLEASEEEEEE HELPPPPPP MEEEEEE
Answer:
I suggest looking at my attachment. This will help with your question and answers to future assignments in your class.
Step-by-step explanation:
Hope this helps! Please vote me as Brainliest. Let me know if you need more of an explanation. Remember, cheating is never the answer. Try your best before you seek answers. Hope it's not too late. Good luck with whatever you are doing! Have an amazing day!
Read this article:
Three students were lined up in a row. Lucas was to the left of Fatima, but not necessarily next to her. The student wearing the blue shirt was to the right of the student wearing the white shirt. The student wearing the black shirt was to the left of Benjamin. Benjamin was to the left of Fatima. What was the order of the students from left to right?
Answer:
Benjamin then student wearing black t-shirt then the student wearing white then who wear blue then lucas then fatima
Step-by-step explanation:
where fatima is the first one then the others beside her one by one
The monthly rent for an 800 square foot office is $975. For an 1100 square foot office, the rent is $1125. WRITE AND SOLVE A LINER EQUATION to find the monthly rent for a 1500 square foot office.
I need help and pls do it in The liner equation way which is also given two points.
Answer:
$1325Step-by-step explanation:
Translate the given into two pairs of coordinates:
(800, 975) and (1100, 1125)Work out the equation of the line passing through both of the points.
Find the slope:
m = (1125 - 975) / (1100 - 800) = 0.5Find the y-intercept:
975 = 0.5*800 + b975 = 400 + bb = 975 - 400b = 575The line is:
y = 0.5x + 575Find the value of y when x = 1500:
y = 0.5*1500 + 575 = 1325Its factorial math pleaseHelp.
\(\dfrac{7!4!}{5!3!}=6\cdot7\cdot4=168\)
Which regression equation best fits these data?
х
y
1-2, 16).16)
15
-5
11
21.15)
-3
14
.6314
.(-5.11
10
(372)
- 2
16
4,9)
-1
16
1
15
3
12
6
4.
9
5
6
O A. y = -0.59x + 12.5
B. y = 0.30x2 + 0.48x + 15.83
C. y = 12.00 0.94%
Answer:
a will be the correct answer bro be sure
The Regression equation best fits these data is ŷ = -0.58939x + 12.52235
We have the table as from which can be calculated as
Sum of X = 2
Sum of Y = 99
Mean X = 0.25
Mean Y = 12.375
Sum of squares (S\(S_x\)) = 89.5
Sum of products (SP) = -52.75
As, Regression Equation
ŷ = b x + a
where b = SP/S\(S_x\)
b = -52.75/89.5
b = -0.58939
and, a = MY - b MX
a = 12.38 - (-0.59)(0.25)
a = 12.52235
So, the required equation is ŷ = -0.58939x + 12.52235
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What formula do I use for this? How do I get the points to graph?
The graph of the function y = 5|x - 4| is added as an attachment
Sketching the graph of the functionFrom the question, we have the following parameters that can be used in our computation:
y = 5|x - 4|
The above function is an absolute value function that has been transformed as follows
Vertically stretched by a factor of 5Shifted right by 4 unitsNext, we plot the graph using a graphing tool by taking not of the above transformations rules
The graph of the function is added as an attachment
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HELP SHOW HOW TO SOLVE THIS PLEASE
write an equation of the line that has slope 3 and goes through the point (4, 1)
Of 346 items tested, 12 are found to be defective. Construct a 98% confidence interval to estimate the proportion of all such items that are defective.
A. (0.012, 0.058)
B. (0.093, 0.600)
C. (0.014, 0.055)
D. (0.015, 0.054)
E. (0.013, 0.680)
A 98% confidence interval to estimate the proportion of all such items that are defective is A . ( 0.012 , 0.058 ) .
Given :
Of 346 items tested, 12 are found to be defective. Construct a 98% confidence interval to estimate the proportion of all such items that are defective.
Middle = 0.02 / 2
= 0.01
At 98 % z score ;
z = -2.33
z* = 2.33
CI = p ± z \(\sqrt{p ( 1 - p) / n}\)
= 12 / 346 + 2.33 * \(\sqrt{12/346 * 334/346 / 346}\)
= 0.347 ± 0.229
= 0.347 - 0.229 to 0.347 + 0.229
= 0.118 to 0.576
≈ 0.012 to 0.058
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2. The box and whisker plot below shows the starting salaries for 120 graduates of a small college.
a) What is the range of the starting salaries?
b) About 30 graduates make below what amount?
c) How many graduates have a salary above $33,000 ?
d) $25 of the graduates make above what amount?
The range of the starting salaries is 53,000
Given,
The box and whisker plot below shows the starting salaries
The number of graduates in a small college = 120
We have to find the range of the starting salaries;
Range of a data;
The difference between the highest and lowest values for a given data collection is the range in statistics. For instance, the range will be 10 - 2 = 8 if the given data set is 2, 5, 8, 10, and 3. As a result, the range may alternatively be thought of as the distance between the highest and lowest observation.
Here,
Lowest value = 19,000
Highest value = 72,000
Then,
Range of the set = 72,000 - 19,000 = 53,000
That is,
The range of the given data set is 53,000
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749/d * d/749 = 1
d=?
Answer:
D=1
Step-by-step explanation:
1. Combine multiplied terms into a single fraction
2. Cancel terms that are in both numerator and denominator
3. Divide by 1
Answer:
I honestly don't know but I think its all real numbers but not zero
Step-by-step explanation:
Please awnser asap I will brainlist
The element of A n B is { 7, 8}
What is set?A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind.
For example, if the element of P is even numbers from 1 to 20 and element of Q is factor of 6 from 1 to 20 then we can say that set Q is a subset of set P.
The sign 'n' means intersection and this means what is common to two or more set.
If set A = { 1,2,5,7,8}
set B = { 6,7,8,9}
then we can see that 7 and 8 are common to both sides, then
A n B = { 7,8}
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En cierto laboratorio se cultiva la cepa de una bacteria, causal de múltiples problemas. Con fin de determinar la rapidez de reproducción de dicha bacteria, esta se coloca en un medio de crecimiento y condiciones favorables. La población existente es de 250 bacterias y se observa que cada hora se duplica la cantidad
The exponential function giving the number of bacteria after x hours is given as follows:
\(y = 250(2)^x\)
How to define an exponential function?An exponential function has the definition presented according to the equation as follows:
\(y = ab^x\)
In which the parameters are given as follows:
a is the value of y when x = 0.b is the rate of change.The parameter values for this problem are given as follows:
a = 250, b = 2.
Hence the function is given as follows:
\(y = 250(2)^x\)
Missing InformationThe problem asks for the exponential function giving the number of bacteria after x hours is given as follows:
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Aman and his three children spent $40 to attend a show. A secondfamily of three children and their two parents spent $53 for the sameShow How much does a child's ticket cost?
We know that
• Aman and his three children spent $40 in total.
,• Two parents and three children spent $53.
Based on the given information, we can form the following equations.
\(\begin{gathered} x+3y=40 \\ 2x+3y=53 \end{gathered}\)Where x is parents and y is children.
Let's multiply the first equation by -1.
\(\begin{gathered} \mleft\{\begin{aligned}-x-3y=-40 \\ 2x+3y=53\end{aligned}\mright. \\ 2x-x+3y-3y=53-40 \\ x=13 \end{gathered}\)We use this value to find y.
\(\begin{gathered} x+3y=40 \\ 13+3y=40 \\ 3y=40-13 \\ 3y=27 \\ y=\frac{27}{3} \\ y=9 \end{gathered}\)Therefore, a child's ticket costs $9.solve the triangle for which angle a =30\degree, angle b=45\degree, and a=20
The triangle for which angle a =30\degree, angle b=45\degree, and a=20, side a ≈ 20, side b ≈ 28.284, and side c ≈ 38.636
Two angles (a and b) and one side (a) are provided for us to solve the triangle. Let's call the side across from angle a side A, the side across from angle b side B, and the side across from the final angle (angle c) side C.
Here, it is given that,
angle a = 30 degrees
angle b = 45 degrees
side a = 20
angle c = 180 - (angle a + angle b)
angle c = 180 - (30 + 45)
angle c = 180 - 75
angle c = 105 degrees
We know that, a/sin(A) = b/sin(B) = c/sin(C)
a/sin(A) = b/sin(B) = c/sin(C)
20/sin(30) = b/sin(45) = c/sin(105)
b/sin(45) = 20/sin(30)
b = (sin(45) * 20) / sin(30)
b ≈ (0.7071 * 20) / 0.5
b ≈ 14.142 / 0.5
b ≈ 28.284
Now,
c/sin(105) = 20/sin(30)
c = (sin(105) * 20) / sin(30)
c ≈ (0.9659 * 20) / 0.5
c ≈ 19.318 / 0.5
c ≈ 38.636
Thus, side a ≈ 20, side b ≈ 28.284, and side c ≈ 38.636.
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x-intercept of 3 and y-intercept of 8
How do you write a lunar equation given this information and how do you write the equation in slope form
Answer:
y = -8/3x + 8
Step-by-step explanation:
Step 1: Identify which values we have and need to find in the slope-intercept form:
The general equation of the slope-intercept form of a line is given by:
y = mx + b, where
(x, y) is any point,m is the slope,and b is the y-intercept.Since we're told that the y-intercept is 8, this is our b value in the slope-intercept form.
Step 2: Find m, the slope of the line:
Since the x-intercept is 3, the entire coordinates of the x-intercept are (3, 0)Thus, we can find m, the slope of the line by plugging in (3, 0) for (x, y) and 8 for b:
0 = m(3) + 8
0 = 3m + 8
-8 = 3m
-8/3 = m
Thus, the slope is -8/3.
Therefore, the the equation of the line in slope-intercept form whose x-intercept is 3 and whose y-intercept is 8 is y = -8/3x + 8.
Optional Step 3: Check the validity of the answer:
We know that the entire coordinates of the x-intercept are (3, 0) and the entire coordinates of the y-intercept are (0, 8).Thus, we can check that we've found the correct equation in slope-intercept form by plugging in (3, 0) and (0, 8) for (x, y), -8/3 for m, and 8 for b and seeing if we get the same answer on both sides of the equation when simplifying:
Plugging in (3, 0) for (x, y) along with -8/3 for m and 8 for b:
0 = -8/3(3) + 8
0 = -24/3 + 8
0 = -8 = 8
0 = 0
Plugging in (0, 8) for (x, y) along with -8/3 for m and 8 for b;
8 = -8/3(0) + 8
8 = 0 + 8
8 = 8
Thus, the equation we've found is correct as it contains the points (3, 0) and (0, 8), which are the x and y intercepts.
If Tommy runs three miles in 24 minutes, then
how long will it take him to run 5 miles?
I need help with this.
Answer: f(2)=15, f(-2)=18, all real #s
Step-by-step explanation:
1. f(2)=4(2)^2-2+1=16-1=15
2. f(-2)=4(-2)^2-(-2)+1=16+3=18
PLEASE HELP PLEASE Which of the following expressions could be used to represent "three less than half a number"?
1/3 - 3 n
3 n - 1/2
3 - 1/2n
1/2 n - 3
Answer:
1/3
Step-by-step explanation:
because it was right