Answer:
-1.25
Step-by-step explanation:
The change in position for x is -5, the change in position for y is 4, -5/4 = -1.25
The slope of the line passing through the given points (-1, -11) and (-6, -7) is equal to \(\frac{-4}{5}\).
Given the following points:
Points on the x-axis = (-1, -6)Points on the y-axis = (-11, -7)To find the slope of the line passing through the given points (-1, -11) and (-6, -7):
The slope of a line refers to the gradient of a line and it is typically used to describe both the direction and steepness of an equation of a straight line.
Mathematically, the slope of a line is given by the formula;
\(Slope. \;m = \frac{Change \; in \; y \;axis}{Change \; in \; x \;axis} \\\\Slope. \;m = \frac{y_2 - y_1}{x_2 - x_1}\)
Substituting the given points into the formula, we have;
\(Slope. \;m = \frac{-7 - [-11]}{-6 - [-1]}\\\\Slope. \;m = \frac{-7\; + \;11}{-6+1}\\\\Slope. \;m = \frac{4}{-5}\)
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I need help on an assignment.
Answer:
i believe that answer would be D
Step-by-step explanation:
Charlie Fox's Pizza has a coupon for 30% off an extra large pizza. If the pizza you want
regularly costs $28, how much would the sale price be?
Answer:
8.4
Step-by-step explanation:
Move the decimal point to create $2.8, which is 10% of $28. Once you have the 10% ($2.8) multiply it by 3 to get 30%.
please answer these 3 questions with the picture provided
Help please thank you !
Answer:
3
Step-by-step explanation:
2/36=x/54
Cross multiply and find x
Answer:
it is 3 cups!
Step-by-step explanation:
36+18=54
2 cups were used for 36, 3 cups were used for 54 :)
he charges $15.75 for 3 hours and $26.25 for 5 hours.
complete the explanation of why the relationship between how much steven charges and time is a proportional relationship.
the rate have the same?
Answer: The relationship between the amount Steven charges and the time spent is a proportional relationship because the ratio of the amount he charges to the time spent remains constant. This is evident in the fact that he charges the same rate per hour for both 3 hours and 5 hours of work. For example, in the case of 3 hours of work, the rate is $15.75/3 hours = $5.25 per hour. In the case of 5 hours of work, the rate is $26.25/5 hours = $5.25 per hour. Since the rate per hour is the same in both cases, the relationship between the amount he charges and the time spent is proportional.
what is a dilation? What is a scale factor of a dilation?
Dilation is a transformation, which is used to resize the object while scale factor is the ratio of the dimensions of the new object to the ratio of old object.
What is dilation and scale factor?Dilation Meaning in Math. Dilation is a transformation, which is used to resize the object.
Dilation is used to make the objects larger or smaller. This transformation produces an image that is the same as the original shape. But there is a difference in the size of the shape.
Scale factor is the ratio of the length of the new shape to the dimensions of the original shape.
For example if the length of a rectangle is 5m and it's dilated to 10 cm , the scale factor is calculated as;
= 10/5 = 2
Therefore the scale factor is 2
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formation about a sample is given. Assume that the sampling distribution is symmetric and bell-shaped. P_1 - P_2 = 0.15 and the margin of error for 95% confidence is 5%. (a) Indicate the parameter being estimated.(b) Use the information to give a 95% confidence interval.
(a) Parameter being estimated in the given information is the difference between two proportions (p_1 - p_2).
(b) A 95% confidence interval is given by (0.075, 0.225)
(a) The parameter being estimated is the difference between two population proportions, which is denoted by (p_1 - p_2).
(b) The margin of error for a 95% confidence interval is 5%, which means that the critical value of z is 1.96 (obtained from a standard normal distribution table). Using the formula for the margin of error, we can write:
1.96 * √(p_1_hat*(1-p_1_hat)/n_1 + p_2_hat*(1-p_2_hat)/n_2) = 0.05
where p_1_hat and p_2_hat are the sample proportions from the two samples, and n1 and n2 are the sample sizes.
Solving for p_1_hat - p_2_hat, we get:
p1_hat - p2_hat = ±0.075
Since we are interested in a 95% confidence interval, we can subtract and add this value from P1 - P2 to obtain the interval:
P_1 - P_2 ± 0.075
Substituting the given value of P_1 - P_2 = 0.15, we get:
95% Confidence Interval: (0.075, 0.225)
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Answer quick! Due today!Please help with explanation each graph shown is a translation of the graph of f(x)=x^2 write the function in vertex form
For a graph with f(x)=x^2, the vertex of the parabola is at the origin.
In the given graph, the parabola is shifted 3 units to the left and 1 unit down.
The general vertex form of a parabola is,
\(f(x)=a(x-h)^2+k\)Here, h is the horizontal shift and k is the vertical shift.
Since the graph is only translated and not shrinked or expanded , a=1.
Since the graph is shifted horizonatlly to the left, h is negative.
So, h=-3.
Since the graph is shifted vertically down, k is negative.
So, k=-1.
So, the equation for the given graph becomes,
\(\begin{gathered} f(x)=(x-(-3)^2-1 \\ f(x)=(x+3)^2-1_{} \end{gathered}\)Therefore, the function in vertex form is,
\(f(x)=(x+3)^2-1\)How do you solve 14p−8=22+20p ?
The value of p is -5
Simply use cross multiplication :
The process of multiplying numbers in the shape of a fraction is called cross multiplication. Cross multiplying, also known as cross multiplication, is the process of multiplying the numerator of one fraction by the denominator of the other fraction on the other side of an equal symbol. Cross multiplication is a method for comparing fractions.
Both fractions with like and unlike parts are multiplied across. When employing the cross-multiplication procedure, we multiply the denominators as well as the numerators when a fraction is dissimilar, or when the denominators of two fractions are not alike.
\(14p-8=22+20p\\or, 14p-20p=22+8\\or, -6p=30\\or, p=-\frac{30}{6} \\or, p= -5\)
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4.25 -2.5x = 14.75
I need help
\(\text {Hey! Let's Solve this Equation!}\)
\(\text {\underline {The First Step is to do Keep Change Change (KCC)}}\)
\(\text {Keep: 4.25}\\\text {Change: - into +}\\\text {Change: 2.5x into -2.5x}\)
\(\text {\underline {The Next Step is to Flip the Equation}}\)
\(\text {Before: 4.25+-2.5x=14.75}\\\text {After: -2.5x+4.25=14.75}\)
\(\text {\underline {The Next Step is to Subtract 4.25}}\)
\(\text {-2.5x+4.25-4.25=14.75-4.25=10.5}\\\text {-2.5x=10.5}\)
\(\text {\underline {The Final Step is to Divide -2.5}}\)
\(\text {-2.5x/-2.5=10.5/-2.5}\)
\(\text {Remember that Dividing a Positive to a Negative will Equal a Negative.}\)
\(\text {Your Answer Would Be:}\)
\(\fbox {x=-4.2}\)
\(\text {Best of Luck!}\)
Hey there!☺
\(Answer:\boxed{x=-4.2}\)
\(Explanation:\)
\(4.25-2.5x=14.75\)
Let's start by simplifying both sides in the equation.
\(4.25+-2.5x=14.75\\-2.5x+4.25=14.75\)
Now we subtract 4.25 from both sides in the equation.
\(-2.5x+4.25-4.25=14.75-4.25\\-2.5x=10.5\)
Now in our third/final step, we will divide both sides by -2.5.
\(\frac{-2.5x}{-2.5}= \frac{10.5}{-2.5}\)
Now we simplify 10.5/-2.5.
\(\frac{10.5}{-2.5}=-4.2\)
\(x=-4.2\)
Hope this helps!
can you please help me find out what m
Answer: B.
Step-by-step explanation: A triangle is 180 degrees. m< a + b + c = 180, so 75+20+x=180, so x = 85. B.
A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. He wants to construct the 95% confidence interval with a maximum error of 0.19 reproductions per hour. Assuming that the mean is 12.6 reproductions and the variance is known to be 3.61 what is the minimum sample size required for the estimate? Round your answer up to the next integer.
The minimum sample size required for the estimate is given as follows:
385.
How to obtain the minimum sample size?The bounds of a z-distribution confidence interval, which is used as we have the standard deviation for the population, are given as follows:
\(\overline{x} \pm z\frac{\sigma}{\sqrt{n}}\)
In which the parameters are given as follows:
\(\overline{x}\) is the sample mean.z is the critical value.n is the sample size.\(\sigma\) is the standard deviation for the population.Hence the equation for the margin of error is given as follows:
\(M = z\frac{\sigma}{\sqrt{n}}\)
The variance is known to be 3.61, hence the standard deviation is given as follows:
\(\sigma = \sqrt{3.61} = 1.9\)
The critical value for a 95% confidence interval is given as follows:
z = 1.96.
Hence the required sample size for a margin of error of M = 0.19 is calculated as follows:
\(M = z\frac{\sigma}{\sqrt{n}}\)
\(0.19 = 1.96\frac{1.9}{\sqrt{n}}\)
\(0.19\sqrt{n} = 1.96 \times 1.9\)
\(\sqrt{n} = \frac{1.96 \times 1.9}{0.19}\)
\((\sqrt{n})^2 = \left(\frac{1.96 \times 1.9}{0.19}\right)^2\)
n = 385.
(rounding up, as for a sample size of 384, the margin of error would be slightly above 0.19).
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the frequency of countries with both a population density of fewer than 100100100 per \text{km}^2km 2 start text, k, m, end text, squared and a medium population among all countries in north america is 0.1740.1740, point, 174. how many countries have both a population density of fewer than 100100100 per \text{km}^2km 2 start text, k, m, end text, squared and a medium population? choose 1 answer: (choice a) a
The number of countries that have both a population density of fewer than 100,100,100 per square kilometer and a medium population among all countries in North America is approximately 174.
To understand the answer, we can interpret the given frequency as a probability. The frequency of 0.174 indicates that out of all countries in North America, 17.4% (or 0.174 as a decimal) have both a population density of fewer than 100,100,100 per square kilometer and a medium population.
To calculate the number of countries, we would multiply this probability by the total number of countries in North America. However, the total number of countries in North America is not provided in the given information. Therefore, without knowing the total number of countries, we cannot provide an exact count of the countries that meet the specified criteria.
In summary, the given information states that the frequency of countries with both a population density of fewer than 100,100,100 per square kilometer and a medium population among all countries in North America is 0.174. However, without the total number of countries in North America, we cannot determine the exact count of countries that meet the specified criteria.
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help asap please thanks
Answer:
\( \frac{1}{27} \)
Step-by-step explanation:
\(( \frac{1}{3} ) {}^{3} \)
This is the third power of 3, to calculate it, we multiply the fraction with itself 3 times:\( \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} = \frac{1}{27} \)
- n kids random line up for recess. two kids are named paula and quinton. what is the probability that paula is first and quentin is second in line?
The probability depends on the total number of kids in the line.
Since the order of the two kids in line matters, the probability of Paula being first and Quinton being second is:
1/n \(\times\) 1/(n-1)
where n is the total number of kids in the line.
Since we don't know the value of n, we cannot calculate the exact probability. However, we do know that the probability will be a fraction between 0 and 1, where the numerator is 1 and the denominator involves n and n-1.
For example, if there are 10 kids in the line, the probability of Paula being first and Quinton being second is:
1/10 \(\times\) 1/9 = 1/90
So the probability depends on the total number of kids in the line.
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A cost that can be identified by the equation Y=a+bX is known as a:
A. variable/fixed cost.
B. mixed cost.
C. discretionary cost.
D. sunk cost.
The correct answer is B. mixed cost.
A mixed cost is a cost that consists of both a fixed component and a variable component. The equation Y = a + bX represents a mixed cost, where "Y" represents the total cost, "X" represents the level of activity or quantity, "a" represents the fixed cost component, and "b" represents the variable cost per unit.
The fixed cost component (a) remains constant regardless of the level of activity, while the variable cost component (bX) changes proportionally with the level of activity. This equation allows for the separation of the fixed and variable components of the cost, making it a useful model for analyzing cost behavior.
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PLEASE HELP! I WILL GIVE BRAINLIST!
If a fiction book's story begins on page seven and ends on page one hundred one, and you're required to read the story by next Monday, how many pages do you have to read?
Answer: 93 pages
Explanation: You are required to read 93 pages by next Monday.
Plz mark brainliest:)
2. Which expression is equivalent to 2(3x - 4)? Explain your reasoning.
a) 3x - 4
b) 5x - 6
c) 6x-4
d) 6x8
How do you solve iy
A project under consideration has a 10-year projected life. The initial investment for the project is estimated to have a mean of $10,000 and a standard deviation of $1,000. The annual receipts are independent, with each year’s expected return having a mean of $1,800 and a standard deviation of $200. MARR is 12 percent. Assuming that initial investment and annual receipts are independent and normally distributed, estimate the probability that the present worth is negative using NORM.INV function in excel.
This value represents the present worth below which the probability is 0.5, indicating a negative present worth.
To estimate the probability that the present worth is negative using the NORM.INV function in Excel,
we need to calculate the present worth of the project and then determine the corresponding probability using the normal distribution.
The present worth of the project can be calculated by finding the sum of the present values of the annual receipts over the 10-year period, minus the initial investment. The present value of each annual receipt can be calculated by discounting it back to the present using the minimum attractive rate of return (MARR).
Using the given information, the present value of the initial investment is $10,000. The present value of each annual receipt is calculated by dividing the expected return of $1,800 by \((1+MARR)^t\),
where t is the year. We then sum up these present values for each year.
We can use the NORM.INV function in Excel to estimate the probability of a negative present worth. The function requires the probability value, mean, and standard deviation as inputs.
Since we have a mean and standard deviation for the present worth,
we can calculate the corresponding probability of a negative present worth using NORM.INV.
This value represents the present worth below which the probability is 0.5. By using the NORM.INV function,
we can estimate the probability that the present worth is negative based on the given data and assumptions.
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Show the family of conics with the same focus
x^2/a^2+C + y^2/b^2+C = 1
is its own orthogonal family of curves.
The original equation and the orthogonal equation are the same, we can conclude that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves.
To show that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves, we need to take the derivative of the equation and set it equal to -1/b^2, the slope of the orthogonal line.
First, we take the derivative of the equation with respect to x:
2x/a^2 = -2y/b^2 * dy/dx
Simplifying, we get:
dy/dx = -b^2*x/a^2*y
Now, we set this equal to -1/b^2:
-b^2*x/a^2*y = -1/b^2
Cross-multiplying and simplifying, we get:
x/a^2*y = 1/b^2
Finally, we can rearrange this equation to get:
y = b^2*x/a^2
This equation represents the orthogonal family of curves to the original family of conics. Since the original equation and the orthogonal equation are the same, we can conclude that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves.
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Alice likes to have wine with her dinner on Friday and Saturday night. She usually buys two bottles of wine for the weekend. She really needs to cut back on spending. She decides to buy only one bottle per week. On average a bottle of wine costs $15. How much does she save in one year?
Step-by-step explanation:
you are really struggling with such simple things ? you only need to type it into your calculator, and you have your answer in 2 seconds.
instead you are posting the question here, then you wait, if there is an answer, then you copy the answer back to your work ...
so, please tell me, what is your real problem with these questions ?
there are 52 weeks in a year.
instead of 2 bottles of $15 each she now only buys 1 bottle of $15 per week.
she saves $15 per week (one bottle instead of 2).
so, in a year she saves
15×52 = $780
What is the solution to the system of equations?
2x + y - Z= 7
- X- 2y – 2z = -9
X + 3y - 32= 6
A : (3,-2,1)
B : (3,2,-1)
C : (3,2,1)
D : (-3.2,1)
Answer:
the answer is b
Step-by-step explanation:
bc i just this it is
Which of the binomials below is a factor of this expression?
100A²-498²
OA. A+ 7B
OB. 10A+7B
OC. A + B
OD. 10A+B
Answer: B. 10A + 7B
Step-by-step explanation:
To find the correct binomial, we will factor the given expression. I assume that by "-498²" you mean "-49B²".
This is a difference of squares:
(10A + 7B)(10A - 7B)
The binomial 10A + 7B is an answer option, so our answer is:
B. 10A + 7B
hurry i need help with this i don’t know what to write
The triangle congruence theorem that proves triangle KLM and XYZ are congruent is the AAS Congruence Theorem.
What is the AAS Congruence TheoremThe AAS (Angle-Angle-Side) Congruence Theorem states that if two triangles have two corresponding angles and a corresponding side that are congruent, then the triangles are congruent.
By observation, the angle L corresponds to the angle Y, and the angle M corresponds to the angle Z, Also the side KM corresponds to the side XM.
In conclusion, the congruence theorem that proves triangle KLM and XYZ are congruent is the AAS Congruence Theorem.
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a 1991 study of 42,000 adults indicated that 10,752 were current smokers. in 2003, the national health interview survey of 33,326 adults indicated that 7,132 (21,4%) of adults were current smokers.(a) Find a point estimate of the difference between the proportion of current smokers in 1991 and the proportion of current smokers in 2003. Use 3 decimal places.(b) Calculate a 95% confidence interval for the difference in the two proportions (use 3 decimal places)(c) A 99% confidence interval for the difference in the two proportions is (0.034,0.050). What does this mean? Complete this interpretation statement: "Since the number _____ ______ in the interval, there _____ evidence at the _____ level of a difference in the proportion of current smokers between 1991 and 2003.
(a) The point estimate of the difference between the proportion of current smokers in 1991 and 2003 is 0.106 (10.6%).
(b) To calculate the 95% confidence interval, we need to use the formula:
point estimate +/- (critical value x standard error)
The critical value for a 95% confidence interval is 1.96. The standard error can be calculated using the formula:
sqrt[(p1(1-p1)/n1) + (p2(1-p2)/n2)],
where p1 and p2 are the proportions of current smokers in 1991 and 2003 respectively, and n1 and n2 are the sample sizes.
Using the given values, we get:
p1 = 10,752/42,000 = 0.256
p2 = 7,132/33,326 = 0.214
n1 = 42,000, n2 = 33,326
standard error = sqrt[(0.256(1-0.256)/42,000) + (0.214(1-0.214)/33,326)] = 0.0084
Thus, the 95% confidence interval is:
0.106 +/- (1.96 x 0.0084) = (0.090, 0.122)
(c) A 99% confidence interval of (0.034, 0.050) means that we are 99% confident that the true difference between the proportion of current smokers in 1991 and 2003 is somewhere within this range. Complete interpretation statement: "Since the number 0 is not included in the interval, there is strong evidence at the 99% level of a difference in the proportion of current smokers between 1991 and 2003."
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a population consists of 400 elements. we want to draw a simple random sample of 40 elements from this population. on the first selection, the probability of an element being selected is
The probability of an element being selected is 0.1 or 1/10 or 10%.
Probability is a mathematical concept that describes the likelihood of an event occurring. It is a value between 0 and 1, where 0 indicates that an event is impossible, 1 indicates that an event is certain, and values between 0 and 1 indicate the degree of uncertainty or likelihood of an event occurring.
In simple random sampling, each element in the population has an equal chance of being selected, and the probability of any given element being selected is equal to the sample size divided by the population size.
In this case, the sample size is 40, and the population size is 400, so the probability of any given element being selected is 40/400 = 1/10.
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answer both blanks
Solve for \( x \) where \( 0 \leq x \leq 2 \pi \) \[ \sec ^{2} x-\sec x-3=-1 \] \[ \frac{\pi}{3},[?] \pi, \frac{\pi}{[} \] Enter the next smallest value.
The next smallest value after π/3 is , which is the final answer. The equation sec2=−1x−secx−3=−1 is solved within the range 0≤x≤2π.
By rearranging the equation and substituting secx with u, we obtain the quadratic equation −2−u−2=0. Factoring it, we find two possible values for u: u=2 and =−1, u=−1. Substituting back, we get secx=2 and secx=−1. Solving for x in each case, we find x= 3π, x=π, and x=5π. The next smallest value after π is 3, which is the final answer.
The given equation x−secx−3=−1 is rearranged as x−secx−2=0 by adding 1 to both sides. To simplify further, we substitute secx with u, giving us −u−2=0. Factoring this quadratic equation, we find (u−2)(u+1)=0, which leads to two possible values for u=2 and u=−1. Substituting back, we have secx=2 and secx=−1. For secx=2, we rewrite secx as cosx, resulting in cosx =2.
Simplifying further, we get cosx=3π . This equation holds true for two angles within the given range: x= 3π,x= 5π. For secx=−1, we rewrite secx as cosx, resulting in =cosx=−1. Simplifying further, we get cosx=−1. This equation is satisfied for x=π within the given range. Therefore, the values of x that satisfy the equation are x= 3π, x=π. The next smallest value after π/3 is , which is the final answer.
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what is the slope of the line?
Answer:
Slope = -3
Step-by-step explanation:
From (-1,0) to (0,-3), the line has a change of -3/1 (change in y/change in x) or -3
A house was purchased in 2012 for $150,000 If the value of the home increases by 3% each year, what will the house be worth in the year 2015?
What is the measure of angle ABC
Answer: A
Step-by-step explanation:
\(m\angle ABC=59^{\circ}\) by the inscribed angle theorem.