The line y = - x has a coordinate value of (4, - 4) passing through the origin.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
Given, A line passes through the origin, (−1, 1) and (4, n).
So, The slope of the line is,
m = (1 - 0)/(- 1 - 0).
m = - 1.
Now,
1 = -1(-1) + b.
b = 0.
y = - x.
At x = 4,
y = - 4.
So, The point (4, n) is (4, - 4).
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Does anyone know the answer to this
Answer:
no what grade is it I'm so confused
Fast I need thsi for a test I trust you guys pleased
Answer:
x=12
Step-by-step explanation:
The mean high temperature for 36 days in July in Detroit, Michigan was 88 degrees with a standard deviation of 6 degrees. The mean high temperature in Hilton Head, South Carolina for 49 July days was 91 degrees with a standard deviation of 7 degrees. At the .05 significance level, can we conclude that it is warmer in Hilton Head?
Answer:
dogwater literally free so freeee!!!!
Step-by-step explanation:
A growing amusement park is able to sell 7 times as many tickets each year as it did the year before. If you list the number of tickets sold over time, what kind of sequence will you see?
tysm ;-;
The kind of sequence that you will obtain when you list the number of tickets sold over time is given as follows:
A geometric sequence.
How to classify the sequence?A sequence can be classified as either arithmetic or geometric, as follows:
Arithmetic sequence: the difference between consecutive terms is constant.Geometric sequence: the ratio between consecutive terms is constant.If none of these statements is true, then the function is neither arithmetic or geometric.
A growing amusement park is able to sell 7 times as many tickets each year as it did the year before, which means that there is a constant ratio of 7 between the amounts of tickets sold each year, and thus this sequence is a geometric sequence.
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Simplify. -15 times the square root of y^2 if y>0
Answer:
-15y
Step-by-step explanation:
The square root of any squared number is always the number itself.
So in this case, it is -15y
Brainliest please. It'll help a lot.
Answer:
- 15y---------------------------------
Simplify the expression:
[tex]-15\sqrt{y^2}[/tex]We know the square root is never negative and since y is positive, we get:
[tex]-15\sqrt{y^2} =-15y[/tex]What is the equation of the line that passes through the points (-2, 3) and (2, 7)? (5 points)
O x-y=-1
Ox-y=-2
Ox-y=-5
O x-y=-6
The equation of the line that passes through the points (-2,3) and (2,7) is:
x-y=-5
Therefore, option(C) x-y= -5 is correct answer.
Step-by-step solution:
The algebraic representation of a line's equation is the collection of points that make up the line in a coordinate system.
Given the line passes through the points (-2,3) and (2,7)
So, the equation of the line passing through the two points is given by:
[tex]\frac{y-y_{1} }{y_{2}-y_{1} } =\frac{x-x_{1} }{x_{2} -x_{1} }[/tex]
[tex]\frac{y-3 }{7-3} } =\frac{x-(-2) }{2-(-2) }[/tex]
[tex]\frac{y-3}{4} =\frac{x+2}{2+2}[/tex]
[tex]\frac{y-3}{4} =\frac{x+2}{4}[/tex]
[tex]y-3 = x+2[/tex]
Now rearranging the above equation:
x - y + 3 + 2 = 0
x - y + 5 =0
Therefore, the equation of the line passing through the points (-2,3) and (2,7) is: x-y=-5
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find the area and circumference of a circle with a radius 5 m. use the value 3.14 for radius, and do not round your answers. Be sure to include the correct units in your answers.
Area and circumference of the circle are 78.5 m² and 31.4 m respectively.
What is a circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
Given that, a circle have a radius 5 m
Area of a circle = π × radius²
Circumference = 2π×radius
Area = 3.14 × 5² = 3.14 × 25 = 78.5 m²
Circumference = 3,14 × 2 × 5 = 31.4 m
Hence, area and circumference of the circle are 78.5 m² and 31.4 m respectively.
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What are terms and common rations ? Can someone explain to me how to solve
For the arithmetic sequence 4 - 2(n - 1), we have that:
The first term is 4.The second term is 2.The third term is zero.The fourth term is -2.The fifth term is -4.The common difference is -2.For the geometric sequence 6 x 3^(n - 1), we have that:
The first term is 6.The second term is 18.The third term is 54.The fourth term is 162.The fifth term is 486.The common ratio is 3.How to model the arithmetic sequence?An arithmetic sequence is a sequence of numbers in which there is a common difference of the numbers, that is, the subtraction between consecutive terms of the sequence is always constant.
The nth term of an arithmetic sequence is given by the equation presented as follows:
[tex]a_n = a_1 + d(n - 1)[/tex]
In which:
[tex]a_1[/tex] is the first term.d is the common difference.The sequence in this problem is defined as follows:
4 - 2(n - 1)
Which has first term 4 and common difference -2, hence the terms are:
4, 2, 0, -2, -4, -6 and so on...
What is a geometric sequence?A geometric sequence is a sequence of numbers in which there is a common ratio of the numbers, that is, the quotient between consecutive terms of the sequence is always constant.
The nth term of a geometric sequence is given by the equation presented as follows:
[tex]a_n = a_1 \times q^{n - 1}[/tex]
In which:
[tex]a_1[/tex] is the first term.q is the common ratio.The sequence for this problem is given as follows:
6 x 3^(n - 1)
Which has first term of 6 and common ratio of 3, hence the terms are given as follows:
6, 18, 54, and so on...
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What is the equation of a line with a slope of 3 and a point (3. 1) on the line? Express the equation in the form of y Enter your answer in the box mz+ b where m is the slope and b is the y-intercept
A line with a slope of three and the point three on the line have the equation y=3 z+1. The equation of a straight line can be found using the formula y = mx + b.
What do you meant by y-intercept ?If a line has a slope of 3 and a y intercept of 1, you need to determine its equation. Remember the line's equation by first going back: when y=mz+b , M is the slope, and Y-intercept b is the value.
In order to solve for y in the equation y=m z+b, all you need to do is swap out m for 3, the slope you provided, and b for 1, the y-intercept. The line's equation is given by y=3 z+1, where z represents the line's y-intercept and slope. If you are aware of the slope of the line being studied and the provided point is also the y intercept, you can utilise the slope intercept formula, y=mx+b (0,b).
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What is the approximate volume of this cone?
3.14 as your approximation for π
Enter your answer as a whole number, like this: 42
Answer:
942
I wish you luck! :D
give person above me brainliest since he/she/non-binary answered first
Answer:
942
Step-by-step explanation:
I just did this on a test and got 100% so I can verify this is right!
pls help last test of semester half my grade please complete entire table i give brainliest
Please please someone help me
[tex]1000ml = 1l \\ 5000ml = \frac{5000}{1000} l = 5l[/tex]
So option C, 5 litres.
Answer:
5 liters
Step-by-step explanation:
So, lets go over what we know:
There is 5000 milliliters.
There are 1000 milliliters in a liter.
To find the amount of liters, we have to divide 5000 by 1000, or total millilileters by millilileters per liter:
5000/1000
=
5
Hope this helps!
How can you use this pattern to find 3°
Number pattern, sequence, finding the algebraic rule and using a ... To illustrate this, consider the following sequence of numbers {1, 3, 5, 7, 9, …}.
What is Number pattern?Number pattern is a pattern or sequence in a series of numbers. This pattern generally establishes a common relationship between all numbers.Here, we get the numbers in the pattern by skip counting by 5. Given are the steps to identify a number pattern.To solve the problems of number pattern, we need first to find the rule being followed in the pattern.
To find out the rule, we need to see the first few numbers in the series.Try to see the difference between consecutive numbers, it will help us understand the relationship between the numbers.Number pattern is a pattern or sequence in a series of numbers. This pattern generally establishes a common relationship between all numbers. For example: 0, 5, 10, 15, 20, 25, … Here, we get the numbers in the pattern by skip counting by 5.
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The complete question is -
How can you use this pattern to find 3° of the number in Series ?
A 45°-45°-90° triangle has a hypotenuse that is
[tex]16 \sqrt{2} [/tex]cm long. Each leg of the triangle is ___ cm long.
Explanation:
For any 45-45-90 triangle, if each leg is x units long, then the hypotenuse is x*sqrt(2) units long. Comparing that with 16*sqrt(2) must mean x = 16.
Find the volume of the figure below
Answer:
volume = 483 cm³
Step-by-step explanation:
area of trapezoid = 1/2(6 + 17)(8.4) = 96.6 cm²
volume = 96.6 x 5 = 483 cm³
help please!!!!!!!!!!!!!!!!!!!!1
Answer:
Not a function
Step-by-step explanation:
A function is when every input(x) has only one output (y). The input 1 has two outputs (0 and 1) so it is not a function.
ale mosquitos have pretty short lifespans. Males of a certain species have lifespans that are strongly skewed to the right with a mean of 888 days and a standard deviation of 666 days. A biologist collects a random sample of 363636 of these male mosquitos and observes them to calculate the sample mean lifespan. What is the probability that the mean lifespan from the sample of 363636 mosquitos \bar x x ˉ x, with, \bar, on top exceeds 101010 days
Answer:
0.0228 = 2.28% probability that the mean lifespan from the sample exceeds 10 days.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 8, standard deviation of 6, sample of 36:
This means that [tex]\mu = 8, \sigma = 6, n = 36, s = \frac{6}{\sqrt{36}} = 1[/tex]
What is the probability that the mean lifespan from the sample exceeds 10 days?
This is 1 subtracted by the pvalue of Z when X = 10. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{10 - 8}{1}[/tex]
[tex]Z = 2[/tex]
[tex]Z = 2[/tex] has a pvalue of 0.9772
1 - 0.9772 = 0.0228
0.0228 = 2.28% probability that the mean lifespan from the sample exceeds 10 days.
Someone pls help!!
Construct a circle through points
X, Y, and Z.
By drawing a side on any one of the points, points X, Y, and Z can be used to create the circle.
What is a circle?It is described as a collection of points, each of which is spaced uniformly apart from a fixed point (called the centre of a circle)
How can you create a circumcircle?First, draw three circles, each with the compass's drawing side on one of the points and the centre on another. The point of your compass should be on that point, and then you should place the drawing side on any one of the three points where they will all intersect in the middle.
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What is a triangle with 2 congruent sides and an obtuse angle
Answer:What is a triangle with 2 congruent sides and an obtuse angle
Step-by-step explanation:
A manufacturer receives parts from two suppliers. A simple random sample of 400 parts from supplier 1 finds 20 defective. A simple random sample of 200 parts from supplier 2 finds 20 defective. Let p1 and p2 be the proportion of all parts from suppliers 1 and 2, respectively, that are defective. Test whether the defective rates of the parts from two suppliers are significant different at the 1% significance level. Conduct a hypothesis testing. Answer the next three questions. 12. Test statistic
Answer:
The test statistic is [tex]z = -2.1[/tex]
The p-value of the test is 0.0358 > 0.01, which means that the defective rates of the two suppliers are not significant different at the 1% significance level.
Step-by-step explanation:
Before testing the hypothesis, we need to understand the central limit theorem and subtraction of normal variables.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
A simple random sample of 400 parts from supplier 1 finds 20 defective.
This means that:
[tex]p_1 = \frac{20}{400} = 0.05, s_1 = \sqrt{\frac{0.05*0.95}{400}} = 0.0109[/tex]
A simple random sample of 200 parts from supplier 2 finds 20 defective.
This means that:
[tex]p_2 = \frac{20}{200} = 0.1, s_2 = \sqrt{\frac{0.1*0.9}{200}} = 0.0212[/tex]
Let p1 and p2 be the proportion of all parts from suppliers 1 and 2, respectively, that are defective. Test whether the defective rates of the parts from two suppliers are significant different at the 1% significance level.
At the null hypothesis, we test if they are equal, that is, if the subtraction of the proportions is 0. So
[tex]H_0: p_1 - p_2 = 0[/tex]
At the alternate of the null hypothesis, we test if they are different, that is, if the subtraction of the proportions is different of 0. So
[tex]H_a: p_1 - p_2 \neq 0[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{s}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis and s is the standard error.
0 is tested at the null hypothesis:
This means that [tex]\mu = 0[/tex]
From the sample proportions:
[tex]X = p_1 - p_2 = 0.05 - 0.1 = -0.05[/tex]
[tex]s = \sqrt{s_1^2+s_2^2} = \sqrt{0.0109^2 + 0.0212^2} = 0.0238[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{s}[/tex]
[tex]z = \frac{-0.05 - 0}{0.0238}[/tex]
[tex]z = -2.1[/tex]
P-value of the test and decision:
The p-value of the test is the probability that the sample proportion differs from 0 by at least 0.05, that is, P(|z| < 2.1), which is 2 multiplied by the p-value of Z = -2.1.
Z = -2.1 has a p-value of 0.0179
2*0.0179 = 0.0358.
The p-value of the test is 0.0358 > 0.01, which means that the defective rates of the two suppliers are not significant different at the 1% significance level.
John found the solution to the system of linear and quadratic equations. What did he do wrong?
Answer:
It is wrong because John forgot another solution. You can see that the line and the quadratic intersect at (5,14) too.
If r=1 and 0=7pi/6, what is the approximate arc length?
Answer:
3.665
Step-by-step explanation:
Equations of Exponential Functions
The table of values below represent an exponential function.
Write an exponential equation that models the data.
a. y = 18.2(1.7)× c. y = 26(0.7)×
b. y = 12.71(1.3)× d. y = 12.74(0.7)×
Please select the best answer from the choices provided
The initial value where x=0, y is 12.74 and the exponential function is
y = 12.74(0.7)×.
Option D is correct.
What is Exponential Function?The formula f(x) = [tex]a^x[/tex] defines an exponential function, where x is the input variable as an exponent. The exponential curve is determined by the exponential function and the value of x.
The quantity drops rapidly at first, then slowly in Exponential Decay. The rate of change slows over time. As time passes, the rate of change slows.
We know the formula for an exponential function is
y= a [tex]b^x[/tex]
where a is initial value and b is growth factor.
Now, we have to find the growth factor as
We can observe from the table that the values of y decrease as x increases.
That is an example of an exponential decay function.
In an exponential decay function, the value of a growth/decay factor b is always smaller than 1.
Thus, the initial value a= 12.74 and growth factor b=0.7 that is less than 1.
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tinkerbell is gathering data on the number of girls and boys that go on a particular ride at disneyland one morning she observes that 300 girls go on the ride and 500 boys go on the ride this represents the ratio of girls and boys that go on the ride complete the table below to show this relationship explain or show how you completed the table
Girls Boys Total
blank blank 8
6 blank blank
blank 20 blank
30 blank blank
300 500 800
blank 800 blank
The complete table is given in the solution.
What is ratio?A ratio is a way to show a relationship or compare two numbers of the same kind. We use ratios to compare things of the same type.
Given that, at Disneyland there are 300 girls go on the ride and 500 boys go on the ride this represents the ratio of girls and boys that go on the ride
The ratio of girls to boys = 3:5
Therefore, The complete table is as follows:-
Girls Boys Total
3 5 8
6 10 16
12 20 32
30 50 80
300 500 800
480 800 1280
Hence, the complete table is above
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b.) Suppose the Governor of Louisiana decided that all license plates must begin with the
letter A on each license plate. How many fewer license plates would
Louisiana be able to issue using the Governor's mandate for license plates?
Answer: atleast alot
Step-by-step explanation:
carlos scored a total of 60 points in his last three basketball games. be improved in each game by scoring 6 more points than in the previous game. how many points did carlos score in his first game?
Carlos's score in his first game was 14.
What is addition?Addition in maths, a process of combining two or more numbers.
Given that, Carlos scored a total of 60 points in his last three basketball games. be improved in each game by scoring 6 more points than in the previous game.
Let the first score be x,
x+x+6x+6+6=60
3x+18 = 60
3x = 42
x = 14
Hence, Carlos's score in his first game was 14.
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WILL MARK BRAINLIEST!
Answer:
D
Step-by-step explanation:
Both lines are not intersecting each other so that means they don't share a solution
Given A(0, a) and B(b, 0) , find coordinates of C so that the orthocenter of triangle ABC lies on the triangle.
The coordinate of the point C is (0, a)
How to determine the coordinates of point CFrom the question, we have the following parameters that can be used in our computation:
A = (0, a)
B = (b, 0)
As a general rule, the orthocenter of a triangle is a point located at the intersection of the lines containing the altitudes of the triangle.
This means that we start by calculating the equation of the altitude from B to line AC.
A linear equation is represented as
y = mx + c
Where
slope = m
y-intercept = c
Using the above as a guide, we have the following:
slope = (y₂ - y₁)/(x₂ - x₁)
This gives
m(BC) = (0 - 0)/(b - 0) = 0
y-intercept (c) = a
So the equation of the line BC is
y = 0 * x + a
y = a
For line AC, we have
m(AC) = (a - 0)/(0 - 0) = a/0 = undefined.
This means that the equation of the line AC is
x = 0
The equation x = 0 implies that the x-coordinate is always 0, irrespective of the y-coordinate e.g. (0, a)
At this stage, we have the coordinates of the points from lines AC and BC to be
(0, a) and (0, a)
Next, we calculate the C as follows
C = Midpoints of (0, a) and (0, a)
This gives
C = 1/2 * (0 + 0, a + a)
Evaluate
C = (0, a)
Hence, the coordinate of C is (0, a)
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At a game show, there are 7 people (including you and your friend) in the front
row.
The host randomly chooses 3 people from the front row to be contestants.
The order in which they are chosen does not matter.
There are 7C3 = 35 total ways to choose the 3 contestants.
What is the probability that you and your friend are both chosen?
ОА 2/3
O B.
3/35
OC.
2/35
O D.
5/35
Answer:
There are a total of 5/35 ways that you and your friend are both chosen
Step-by-step explanation:
ap3x
Find m∠PQT, where x = m∠PQT
Answer:
127
Step-by-step explanation:
PR is straight line with the measure of 180 degrees
to find PQT we need to subtract 53 from 180
180 - 53 = 127