Question 5 (6 points)
Write the equation of the line that passes through (1,3) and (-2,9)
Answer:
y=-2x+13
Step-by-step explanation:
slope equation= (y2-y1)/(x2-x1)
(9-3)/(-2-1)=(6/-3)=-2
slope changes by a factor of -2
y=mx+b ... find b, plug in values
9=-2(-2)+b
9+4=b
b=13
CHECK
9=-2(-2)+13
9=-4+13
9=9
CORRECT
The square of an add number is
Step-by-step explanation:
an odd number
3*3 =9
5*5= 25
7*7= 49
Answer:
x = number
add number = addition
square = ^2
x^2
Brainlist pls!
students in a statistics class are conducting a survey to estimate the mean number of units students at their college are enrolled in. the students collect a random sample of 46 students. the mean of the sample is 12.5 units. the sample has a standard deviation of 1.8 units. what is the 95% confidence interval for the average number of units that students in their college are enrolled in? assume that the distribution of individual student enrollment units at this college is approximately normal.
The 95% confidence interval for the average number of units that students in their college are enrolled in is (11.46,12.53)
We are given the number of students, n = 46, and the mean of the sample which is x= 12.5, and the standard deviation of the sample which is s= 1.8 , the formula we are referring to for calculating the confidence interval which is :
x ± t (s/√(n))
since for this case, the degree of freedom is one less than the mean, which is 45, the critical value for the confidence of 95% with the degree of freedom of 45 is 2.015
x + t(s/√(n)) = 12.5 +2.015*(1.8/6.78)= 12.53
x - t(s/√(n))= 12.5 -2.015*(1.8/6.78)= 11.46
The interval is (11.46,12.53)
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what are the equivalence classes of the equivalence relations in exercise 1?
The equivalence classes of the equivalence relations in exercise 1 are the sets of elements that are related to each other under the given equivalence relation.
For example, if the equivalence relation is "x is related to y if x and y have the same remainder when divided by 3," then the equivalence classes would be:
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PLEASE HELP
How do you write the set notation for the graph below
Answer:
The first one
Step-by-step explanation:
Its just playing with the signs, its not ____ and equal to so the last two arent it (because of the empty circle) and its greater than -1 so its number 1.
I need help... this is from a textbook Jamal and Moshe began a business with a capital of S7500. If Jamal furnished half as much capital as Moshe, how much did each furnish?
Answer:
Moshe made $1875 and Jamal made $5625
Step-by-step explanation:
divide it in half, then divde Moshe's half in half because he only made half as much,
hope this helps and remember to mark brainliest
Moshe furnishes $5000 and Jamal furnishes $2500 of the capital. Computed by solving the linear equation x + x/2 = 7500, where x is the capital furnished by Moshe.
What are linear equations?Linear equations are an equation involving constants and variables, where variables are raised to a power of not greater than 1.
How do we solve the given question?We are informed that Jamal and Moshe starts a business with a capital of $7500. Also, we are informed that Jamal furnishes half as much capital as Moshe does.
We will try to make a linear equation and solve for it to find the capital furnished by each of them.
Let the capital furnished by Moshe be $x.
Jamal furnishes half as much capital as Moshe does.
∴ Capital furnished by Jamal = 1/2 of Moshe's capital = 1/2 of $x.
∴ Jamal's capital + Moshe's capital = Total capital furnished
We know the total capital is $7500.
∴ Our linear equation is: 1/2 of $x + $x = $7500.
Now we solve this equation in the following ways:
or, (1/2)*x + x = 7500
or, x/2 + x = 7500
or, (x + 2x)/2 = 7500
or, 3x/2 = 7500
or, x = (7500*2)/3 = 15000/3 = 5000.
∴ x = 5000.
∴ Moshe's share = $x = $5000
Jamal's share = 1/2 of $x = 1/2 of $5000 = $2500.
∴ Moshe furnishes $5000 and Jamal furnishes $2500 of the capital. Computed by solving the linear equation x + x/2 = 7500, where x is the capital furnished by Moshe.
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Name the Set or Sets of numbers to which −25 belongs.
A company claims that 9% of the items produced on a new machine are defective.
The factory will get rid of the machine if the data indicates that the proportion of defective items is more than 9%.
They take a random sample of 300 items and 50 are defective.
What null hypothesis is appropriate?
Considering the situation described, the appropriate null hypothesis is given by:
\(H_0: p = 0.09\)
What are the hypothesis tested?At the null hypothesis, it is tested if the proportion is the expected one, that is, of 9%, hence:
\(H_0: p = 0.09\)
At the alternative hypothesis, it is tested if there is enough evidence to conclude that the proportion is above 9%, hence:
\(H_1: p > 0.1\).
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which of the following is a probability sample?
a. Quota sample
b. Convenience sample
c. Cluster sample
d. Judgment sample
e. Snowball sample
The correct option is option (C) .
Cluster Sampling is a type of probability sampling and other options are non- probability sampling examples .
Sampling :
Sampling is defined as a technique that selects individual members or subsets from a population to help determine characteristics of the population as a whole.
Croach and Housden postulate that a sample is a finite number taken from a large group for testing and analysis, and that the sample can be taken as representative of the group as a whole.
There are two main types of sampling:
i) probability sampling
ii) Non-probability sampling
A) probability sampling:
It is defined as the sampling technique which researchers use a related method to draw probability theory samples from a larger population.
The most important requirement for probabilistic sampling is that everyone in the population has a known equal chance of being selected.
Probability Samples:
1. Stratified Sampling: Stratified sampling is a type of sampling technique that divides the total population into smaller groups or strata to complete the sampling process. Hierarchies are formed based on some common characteristics of demographic data.
2. Cluster Sampling: Cluster sampling is a probabilistic sampling technique in which researchers divide a population into multiple groups (clusters) for research purposes. Researchers then select random groups using simple sampling techniques for data collection and data analysis.
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Please help!! 40 points!!!
Rank the electric potential energy of the charged particles from highest to lowest.
1, 2, 3, 4
2, 3, 1, 4 (wrong)
4, 2, 3, 1
1, 3 , 2 , 4
The electric potential energy of the charged particles can be ranked from highest to lowest as follows: 4, 2, 3, 1.
Given four point charges, each with a charge of +Q, placed at the corners of a square with sides of length d, we need to rank the electric potential energy of the charged particles from highest to lowest.
Let's consider the different charged particles:
Particle 1 is at one corner of the square.
Particle 2 and Particle 3 are at adjacent corners of the square.
Particle 4 is at the corner opposite Particle 1.
The electric potential energy (PE) of a pair of charges can be calculated using the formula:
\(\[PE = k \left(\frac{|q_1q_2|}{r}\right)\]\)
where k is Coulomb's constant \((9 \times 10^9 N m^2 / C^2)\), q1 and q2 are the magnitudes of the charges, and r is the distance between the charges.
The electric potential energy of the four pairs of charges can be calculated as follows:
Particle 1 and Particle 2:
The distance between Particle 1 and Particle 2 is d. Therefore,
\(\[PE_{1-2} = k \left(\frac{|+Q \times +Q|}{d}\right) = k \left(\frac{Q^2}{d}\right)\]\)
Particle 1 and Particle 3:
The distance between Particle 1 and Particle 3 is √2d. Therefore,
\(\[PE_{1-3} = k \left(\frac{|+Q \times +Q|}{\sqrt{2}d}\right) = k \left(\frac{Q^2}{2d}\right)\]\)
Particle 1 and Particle 4:
The distance between Particle 1 and Particle 4 is d√2. Therefore,
\(\[PE_{1-4} = k \left(\frac{|+Q \times +Q|}{d\sqrt{2}}\right) = k \left(\frac{Q^2}{2d}\right)\]\)
Particle 2 and Particle 3:
The distance between Particle 2 and Particle 3 is d. Therefore,
\(\[PE_{2-3} = k \left(\frac{|+Q \times +Q|}{d}\right) = k \left(\frac{Q^2}{d}\right)\]\)
Particle 2 and Particle 4:
The distance between Particle 2 and Particle 4 is √2d. Therefore,
\(\[PE_{2-4} = k \left(\frac{|+Q \times +Q|}{\sqrt{2}d}\right) = k \left(\frac{Q^2}{2d}\right)\]\)
Particle 3 and Particle 4:
The distance between Particle 3 and Particle 4 is d. Therefore,
\(\[PE_{3-4} = k \left(\frac{|+Q \times +Q|}{d}\right) = k \left(\frac{Q^2}{d}\right)\]\)
Therefore, the electric potential energy of the four pairs of charges can be ranked from highest to lowest as follows:
Particle 4 and Particle 2
Particle 1 and Particle 3
Particle 2 and Particle 3
Particle 1 and Particle 2
Particle 1 and Particle 4
Particle 3 and Particle 4
Thus, the electric potential energy of the charged particles can be ranked from highest to lowest as follows: 4, 2, 3, 1.
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mr. Smith started 8 yards away from the motion detector, and two seconds later, he was 4 yards away from the detector. The graph below shows Mr. Smith’s motion. What is the difference between the rate of change of the intervals: 1,2 and 2,4?
The difference between the rate of change of the intervals: 1,2 and 2,4 is; 2
How to find the rate of change over an interval?The average rate of change over the intervals (x₁, y₁) and (x₂, y₂) is given by the formula;
Average rate of change = (y₂ - y₁)/(x₂ - x₁)
Thus, the average rate of change between the intervals (1, 2) and (2, 4) is;
Average rate of change = (4 - 2)/(2 - 1)
Average rate of change = 2/1
Average rate of change = 2
That is the difference between the rate of change over the two given intervals.
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Leila bought 3 bananas, which weighed a total of Three-fourths of a pound. If each banana weighed the same amount, what is the weight of each banana?
Answer:
Each banana would weigh ¼ of a pound
Step-by-step explanation:
If there are three bananas that all equal ¾ of a pound, then ¾÷3=¼
Answer:
c
Step-by-step explanation:
Soshi’s rhombus has a base of 12 in and a height of 10 in. Jack’s rhombus has base and height measures that are double those of Soshi’s rhombus. Compare the area of Jack’s rhombus to the area of Soshi’s rhombus. Explain.
Answer:
360
Step-by-step explanation:
I have no clue what these are! help: (
Answer:
B. perpendicular to a line at a point on the line
Step-by-step explanation:
that's how you would construct a perpendicular line to the point that is on the line
eliminate the parameter to express the following parametric equations as a single equation in x and y. x=4sin3t, y4cos3t
To eliminate the parameter t from the given parametric equations x = 4sin(3t) and y = 4cos(3t), we can use the trigonometric identity sin^2(t) + cos^2(t) = 1.
Squaring both equations, we get: x^2 = 16sin^2(3t) y^2 = 16cos^2(3t) Adding these two equations and using the trigonometric identity, we get: x^2 + y^2 = 16(sin^2(3t) + cos^2(3t)) x^2 + y^2 = 16 Taking the square root of both sides, we get: sqrt(x^2 + y^2) = 4 .
Therefore, the equation that represents the given parametric equations as a single equation in x and y is: x^2 + y^2 = 16 This is the equation of a circle with center at the origin and radius 4. the equation becomes: (x/4)² + (y/4)² = 1 Finally, we can write the single equation in x and y as: x² + y² = 16.
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Which of the following is a statistical question that can result in numerical data?
A: how many hours this week did you walk?
B: what is the name of the dentist at shiny teeth dentistry
C: how many pets do the students at your school have?
D: how many times did you go to the movies this summer?
A statistical question that can result in numerical data such as C: how many pets do the students at your school have?.
What is Numerical DataThis question C: "how many pets do the students at your school have?" can be used to obtain data in numerical form. Because this question asks about the number of pets for each child in one school, of course this data can be in the form of a number of the number of animals kept.
Quantitative data is also known as numerical data. Because it represents a numerical value i.e., how much, or how often. Numerical data provides information about the quantity of a particular thing.
Some examples of quantitative data are height, length, size, weight, and so on. Quantitative data can be classified into two types based on the data set.
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to calculate the probability that if a woman has four children, they will all be girls, you should use the rule of blank .
The probability of a woman having four girls in a row is 6.25%.
To calculate the probability that if a woman has four children, they will all be girls, you should use the rule of multiplication. This rule states that to calculate the probability of two or more independent events occurring together, you multiply the probability of each individual event. In this case, the probability of each child being a girl is 0.5 (assuming an equal chance of having a boy or girl), so you would calculate the probability as 0.5 x 0.5 x 0.5 x 0.5 = 0.0625 or 6.25%. Therefore, the probability of a woman having four girls in a row is 6.25%.
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the value of y varies directly with x. if x = 4, then y = -6. what is the constant of variation
Just a quick math problem that I forgot how to do.
Answer:
16
Step-by-step explanation:
If they are parallel then the 2 angles are congruent, so
8x + 14 = 12x - 50
64 = 4x
16 = x
Answer:
x = 16
Step-by-step explanation:
For the 2 lines to be parallel, then
12x - 50 and 8x + 14 would be corresponding angles and congruent , so
12x - 50 = 8x + 14 ( subtract 8x from both sides )
4x - 50 = 14 ( add 50 to both sides )
4x = 64 ( divide both sides by 4 )
x = 16
how to rewrite 3/4 with a denominator of 12
Answer:
it would be 9/12
Step-by-step explanation:
if you want to get a denominator of 12 you would have to multiply by 3 from both and you should get 9/12. 3*3=9 and 4*3=12.
Answer:
9/12
Step-by-step explanation:
4x3=12
because we are multiplying the denominator we also have to multiply the numerator by the same number
3x3=9
2 and 8/9 plus 2 and 2/3
Answer:
5 and 5/9
Step-by-step explanation:
First, you need to convert these mixed fractions to improper fractions. To do this, multiply the denominator by the whole number and add it to the numerator. Put it over the denominator. 2 and 8/9 becomes 26/9. 9 times 2 is 18 plus 8 is 26. 26/9. 2 and 2/3 is 8/3. Now find the common denominator (9). Do not change anything about the fraction, 26/9, because it already has 9 in the denominator. 8/3 becomes 24/9 because 3 times 3 is 9 and 8 times 3 is 24. Then, add them. 26/9 plus 24/9 is 50/9. Lastly, put this in simplest form. 50/9 is 5 5/9.
Answer: 5 5/9
Step-by-step explanation: This is just in my way of answering this: 2 8/9 and 2 2/3 need to be made into improper fractions, so 2 8/9 as an improper fraction is 26/9. 2 2/3 as an improper fraction is 8/3. To add these fractions, you must find the common denominator! The common denominator is 9, and since 26/9 already has the denominator 9, you need to make 8/3 have a denominator of 9. So, 3 x 3 is 9, and 8 x 3 is 24! 24/9 + 26/9 is 50/9. 50/9 needs to be converted back into a mixed number, so 50/9 will become 5 5/9! That's the answer! :)
make u the subject of the relations S=ut + ½ at 2
q5 ANSWER FOR 20 POINTS!
The absolute value model |x - 30| = 10 represents the time required for Jack to fold his laundry. (Correct choice: D)
How to represent variability by means of absolute values
Absolute values are functions used in mathematics that represents the magnitude of a number, whose definition is summarized below:
For x - a ≥ 0, |x - a| = x - a.For x - a < 0, |x - a| = - x + aIn this case, we must determine an absolute value model that contains the maximum and minimum times required by Jack to fold his laundry, This is represented by the following model:
|x - a| = b
Where:
x - Real time, in minutes.a - Mean time, in minutes.b - Time variance, in minutes.If we know that a = 30 min and b = 10 min, then the absolute value model is:
|x - 30| = 10
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evaluate the integral. (use c for the constant of integration.) e− cos(2) d
The integral to be evaluated is given by:e−cos(2) dThe integration of exponential functions can be done by considering the following method.
if f(x) is a differentiable function of x, then∫f(x)e^xdx = f(x)e^x - ∫f'(x)e^xdx. Integrating e^x functions involves u-substitution, by which we let u be the inner function in the exponential e^u.
So we substitute u with cos2 to obtain the expression:∫e^(-cos2) d(cos2)
Solving this expression results which can be evaluated by using integration by substitution method as follows:∫e^(-cos2) d(cos2)Let u = cos 2, then du = -sin 2 d(cos 2).
Now, let us substitute u and du in the expression above:∫e^(-cos^2) d(cos 2) = - ∫e^(-u) du= -e^(-u) + C, where C is a constant of integration.
Now, substitute u with cos 2 to obtain:∫e^(-cos^2) d(cos 2) = -e^(-cos^2) + C
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Problem
The sum of 3 consecutive even numbers is 132.
What is the third number in this sequence?
Answer:
46
Step-by-step explanation:
because it is ...... maybe
I need help with geometry
Answer:.....
Step-by-step explanation:
A local school board wants to determine if the proportion of households in the district that would support starting the school year a week earlier has changed from the previous year. Last year, the school board determined that 65% of households supported starting school earlier. They ask a random sample of 100 households this year, and 70% state they would support starting the school year earlier. Which hypotheses would determine if the proportion of households that support starting school earlier has changed this year?
Group of answer choices
H 0: p not-equals 0.70, H alpha: p = 0.70
H 0: p = 0.70, H alpha: p not-equals 0.70
H 0: p = 0.65, H alpha: p greater-than 0.65
H 0: p = 0.65, H alpha: p not-equals 0.65
Answer:
C
Step-by-step explanation:
Considering the situation, the hypotheses set that would determine if the proportion of households that support starting school earlier has changed this year is given by:
\(H_0: p = 0.65, H_\alpha: p \neq 0.65\)
What are the hypotheses tested?At the null hypotheses, it is tested if there has been no change, that is, the proportion is still of 0.65 = 65%, hence:
\(H_0: p = 0.65\)
At the alternative hypotheses, it is tested if there has been a change, that is, the proportion is not of 0.65 = 65% anymore, hence:
\(H_\alpha: p \neq 0.65\)
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Why were Samaritans disliked by the Jews at the time?
Answer: they had a bad reputation
Step-by-step explanation:
Kaylani can make P paintings in T hours. She takes the same amount of time to make each painting. She produces 5 paintings in 24 hours.i need the equation
This equation provides us with the number of paintings Kaylani can complete in any given time T, assuming that her rate is constant.
P = (5 / 24) * T
How to find the equation?Let us use the variables P and T from the problem statement.
We can deduce from the information provided that Kaylani can complete P paintings in T hours. As a result, her painting rate is:
R = P / T
We also know Kaylani can complete five paintings in 24 hours. Using the same rate formula, we may write:
R = 5 / 24
We can set the two equations for R equal to each other because Kaylani's pace of painting is the same in both cases:
P / T = 5 / 24
We can solve for P by multiplying both sides by T:
P = (5 / 24) * T
This equation provides us with the number of paintings Kaylani can complete in any given time T, assuming that her rate is constant.
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Help please I don't remember how to do this lol
Tell whether the following expressions are equivalent: (-1)(-x) and x
Answer:
yeah they are equivalent
Step-by-step explanation:
\(\\ \tt\longmapsto (-1)(-x)\)
\(\\ \tt\longmapsto x\)
Yes equal
Note that
(+)(+)=(+)(-)(-)=(+)(-)(+)=(+)(-)=(-)