Answer:
C
Step-by-step explanation:
Plot your point at (-9,0) then draw your line with your slope (plot some other points first). Using algebra rearrange your y=mx+b formatted equation.
y=-5/3x-15, 3y = -5x - 45, 5x + 3y = -45
to make sure that a few unusual responses don’t skew results or lead to inaccurate judgements, a data analyst focuses on what element of the data collection?
The component of the data that a data analyst is most interested in is sample size.
Given,
To prevent results from being skewed or causing incorrect conclusions, we must identify the data element on which the data analyst should concentrate;
The data analyst;
A data analyst looks at data to uncover useful consumer insights and possible applications for the knowledge. They also tell the management of the business as well as other stakeholders of this information.
Although it is advisable for data analysts to have a foundational knowledge of statistics and mathematics, many of their responsibilities can still be carried out without it. However, knowledge in statistics, linear algebra, and calculus is often required for data analysts.
Here,
A data analyst's primary interest in the data is sample size
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Solve the system by using a matrix equation.
--4x - 5y = -5
-6x - 8y = -2
Answer:
Solution : (15, - 11)
Step-by-step explanation:
We want to solve this problem using a matrix, so it would be wise to apply Gaussian elimination. Doing so we can start by writing out the matrix of the coefficients, and the solutions ( - 5 and - 2 ) --- ( 1 )
\(\begin{bmatrix}-4&-5&|&-5\\ -6&-8&|&-2\end{bmatrix}\)
Now let's begin by canceling the leading coefficient in each row, reaching row echelon form, as we desire --- ( 2 )
Row Echelon Form :
\(\begin{pmatrix}1\:&\:\cdots \:&\:b\:\\ 0\:&\ddots \:&\:\vdots \\ 0\:&\:0\:&\:1\end{pmatrix}\)
Step # 1 : Swap the first and second matrix rows,
\(\begin{pmatrix}-6&-8&-2\\ -4&-5&-5\end{pmatrix}\)
Step # 2 : Cancel leading coefficient in row 2 through \(R_2\:\leftarrow \:R_2-\frac{2}{3}\cdot \:R_1\),
\(\begin{pmatrix}-6&-8&-2\\ 0&\frac{1}{3}&-\frac{11}{3}\end{pmatrix}\)
Now we can continue canceling the leading coefficient in each row, and finally reach the following matrix.
\(\begin{bmatrix}1&0&|&15\\ 0&1&|&-11\end{bmatrix}\)
As you can see our solution is x = 15, y = - 11 or (15, - 11).
Three people have been exposed to a certain illness. Once exposed, a person has a 50-50 chance of actually becoming ill. (a) What is the probability that exactly one of the people becomes ill
If the possibility of becoming ill be 50% then the probability that exactly one of the people becomes ill be 0.375.
Given that the possibility of becoming ill of a person is 50-50.
We are required to find the probability that exactly one of the people becomes ill.
Probability is basically the likeliness of happening an event that are possible. It cannot be negative. It lies between 0 and 1.
Probability=Number of items/Total of items.
We can find the probability that exactly one of the people becomes ill through binomial probability distribution.
Probability that the person will ill=0.5
Probability that the person will not ill=1-0.5=0.5.
Probability that exactly one of the people becomes ill can be =
=3\(C_{1}\)\((0.5)^{1} (0.5)^{2}\)
=3*0.5*0.25
=0.375
Hence if the possibility of becoming ill be 50% then the probability that exactly one of the people becomes ill be 0.375.
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WHICH GRAPH SHOWS A FUNCTION AND ITS INVERSE.
brainliest plz hurry timed test!!
A slope is also known as the gradient of a line. The correct option is B.
What is Slope?A slope also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.
slope = (y₂-y₁)/(x₂-x₁)
Since for the two functions to be inverse of each other, the line of equations must bisect each other at 90° so that the product of the slope of the two equations is equal to -1.
For the second graph, the slope of the blue line is,
m₁ = (-1-0)/(0-4) = 0.25
The slope of the green line is,
m₂ = (-4-0)/[0-(-1)] = -4
Now, the product of the slope can be written as,
0.25×-4 = -1
Since the product is -1, the function is inverse of each other.
Hence, the correct option is B.
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find the vertex form of 4x^2+8x-8
Answer:
4(x + 1)^2 - 12.
Step-by-step explanation:
f(x) = 4x^2 + 8x - 8
f(x) = 4(x^2 + 2x) - 8
f(x) = 4[(x + 1)^2 - 1) - 8
f(x) = 4(x + 1)^2 - 4 - 8
f(x) = 4(x + 1)^2 - 12.
a researcher obtains a list of all prisons in the u.s. she draws a random sample of 75 of the prisons on this list. she then obtains a list of all inmates from the warden at each of the 75 prisons and interviews a random sample of 30 inmates at each prison. this is a:
The researcher draws a random sample using a Multistage cluster sample
At each stage, you use smaller and smaller groups (units) to select a sample from a population. National surveys are frequently used to collect data from a large, geographically dispersed group of people. To use as your sample, you randomly select individual units from the cluster.
In multistage cluster sampling, the population is divided into clusters and some clusters are chosen in the first stage. You continue to break up the selected clusters into smaller clusters at each subsequent stage, and you do this until you reach the final step. In the final step, only a few members of each cluster are chosen for your sample.
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27 points if someone gets it right.
A bag has 4 oranges, 1 red rock, 2 green rocks, 6 white rock, and 5 black rocks. You randomly pull a rock out of the bag, put it back, then pull another one.
What is the probability of getting a white then a white? Write your answer as a fraction
Answer: 1/6
Step-by-step explanation:
A shade of paint, Orange Mango, can be made by mixing red paint and
yellow paint in the ratio 2: 5. Teddy has 20 litres of red paint and
40 litres of yellow paint.
Work out the maximum volume of Orange Mango paint that Teddy can
make.
Give your answer in litres.
A shade of paint, Orange Mango, can be made by mixing red paint and yellow paint in a ratio of 2:5. Teddy has 20 litres of red paint and 40 litres of yellow paint.The maximum volume of Orange Mango paint that Teddy can make is 24 litres.
The most quantity of Orange Mango paint that Teddy can make, we need to discover the proscribing thing that stops him from the usage of all of his red and yellow paint. In this method, we need to evaluate the ratio of pink-yellow paint that he has with the ratio of crimson-to-yellow paint that he desires. Here is how we try this:
The ratio of crimson to yellow paint that he has is 20:40, which may be simplified with the aid of dividing each side by means of 20 to get 1:2.
The ratio of crimson to yellow paint that he needs is 2:5, which can be simplified by dividing each aspect by using the finest commonplace element of 2 and 5, that's 1, to get 2:5.
To compare those ratios, we are able to pass-multiply them and notice which aspect is greater. In this approach, we multiply the numerator of one ratio via the denominator of the opposite ratio and compare the effects. Here is how we try this:
1/2 compared to 2/5
(1×5) compared to (2×2)
5 in comparison to 4
We can see that five is larger than 4, this means that the ratio of pink to yellow paint that he has is greater than the ratio of purple to yellow paint that he desires. This means that he has extra crimson paint than he desires, and consequently, purple paint is the restricting component.
To find out how much pink paint he can use, we need to discover how an awful lot yellow paint he wishes for every litre of purple paint. We can do that by way of dividing the numerator and denominator of the ratio of pink to yellow paint that he needs with the aid of the numerator of that ratio. Here is how we do this:
2/5 ÷ 2/1 = 2/5 × 1/2 = 1/5
This manner that for every litre of purple paint, he needs 0.2 litres of yellow paint. Since he has 20 litres of pink paint, he can use it all and multiply it with the aid of 0.2 to discover how much yellow paint he wishes. Here is how we do that:
20 × 0.2 = 4
This means that he needs 4 litres of yellow paint. Since he has 40 litres of yellow paint, he has more than enough and may use the handiest 4 litres.
To discover the most volume of Orange Mango paint that Teddy could make, we need to add up the volumes of purple and yellow paint that he makes use of. Here is how we do this:
20 + 4 = 24
With this approach, he could make 24 litres of Orange Mango paint.
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The maximum volume of Orange Mango paint that Teddy can make is 56 liters.
We have,
The ratio of red paint to yellow paint required to make Orange Mango paint is 2:5.
This means for every 2 liters of red paint, 5 liters of yellow paint are needed.
Teddy has 20 liters of red paint and 40 liters of yellow paint.
To determine the maximum volume of Orange Mango paint Teddy can make, we need to find which paint he has in excess and how much of the other paint he needs to use to create the mixture.
Teddy has 20 liters of red paint, which is equivalent to 20/2.5 = 8 units of the mixture (since 2+5=7 units are needed to make the mixture).
Teddy has 40 liters of yellow paint, which is equivalent to 40/2.5 = 16 units of the mixture.
Since Teddy has more yellow paint, the amount of Orange Mango paint he can make is limited by the amount of red paint he has.
Thus,
Teddy can make a maximum of 8 units of Orange Mango paint, which is equivalent to 8 x 7 = 56 liters of the mixture.
Therefore,
The maximum volume of Orange Mango paint that Teddy can make is 56 liters.
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What is the approximate circumstance of the swimming pool? Use 3.14 as an estimate for pi
Answer:
Answer B 11m
Step-by-step explanation:
by definition, x ⊥⊥ y iff f(x, y) = f(x) · f(y) for all (x, y). is the following true or false. if f(x, y) = f(x) · f(y) for all (x, y) such that f(x, y) > 0, then x ⊥⊥ y
If f(x, y) = f(x) · f(y) for all (x, y) such that f(x, y) > 0, then X and Y are not independent i.e. x ⊥⊥ y is false.
The given statement, "If f(x, y) = f(x) · f(y) for all (x, y) such that f(x, y) > 0, then x ⊥⊥ y" is false. What is the independence concept?
The independence concept is an important concept in probability theory. Independence is a mathematical concept that refers to a situation where knowledge of one event has no effect on the likelihood of another event. The independence concept is a key property of many probability distributions in statistics.
Two variables X and Y are said to be independent if the knowledge of one variable doesn't affect the distribution of the other variable, i.e. P(X|Y) = P(X).Given Definition:
By definition, x ⊥⊥ y iff f(x, y) = f(x) · f(y) for all (x, y).
Now we will check the statement's validity.
That is, If f(x, y) = f(x) · f(y) for all (x, y) such that f(x, y) > 0, then x ⊥⊥ y. This statement is false.
Let's check why?
Assume that X and Y are not independent i.e. P(X, Y) ≠ P(X)P(Y).
Then f(x, y) = P(X = x, Y = y) ≠ P(X = x)P(Y = y) = f(x) · f(y).
Therefore, f(x, y) = f(x) · f(y) is only true when X and Y are independent.
So, we can conclude that If f(x, y) = f(x) · f(y) for all (x, y) such that f(x, y) > 0, then X and Y are not independent i.e. x ⊥⊥ y is false.
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The area of this rhombus is 140 square millimeters. One of its diagonals is 35 millimeters.
35 mm
What is the length of the missing diagonal, d?
Answer:
d = 8 mm
Step-by-step explanation:
You want the length of the other diagonal of a rhombus when one of them has length 35 mm and the area of the rhombus is 140 mm².
AreaThe area of a rhombus is half the product of the lengths of the diagonals:
A = 1/2(d1)(d2)
140 mm² = 1/2(35 mm)(d)
(280 mm²)/(35 mm) = d = 8 mm
The length of the missing diagonal is 8 mm.
I don't understand this question. Plz help! ;-;
Answer:
(2,4)
Step-by-step explanation:
It's the one that the line intersects.
Answer:
-18+20=2 so (2,4) is a solution
Step-by-step explanation:
to be able to figure out if the ordered pair is a part of solution, only need to input the x value and see if you can get the output which is y
-9x+5y=2 for (4,2)
-9(4)+5(2) does not equal 2
for :(3,4)
-9(3)+5(4)=2
-27+20 does not equal 2
for (4,3)
-9(4)+5(3)=
-36+15 no solution
for : (2,4)
-9(2)+5(4)=
-18+20=2 so (2,4) is a solution
Match each p to the correct £ amount
(p=£1000)
500p 50p 5p
5.00 £0.05 0.50
pls help
The diameter of a circle is 17 cm. Find the circumference to the nearest tenth.
Answer: C≈53.41cm
If rounded the answer is C=50.00
HOPE THIS HELPS
Step-by-step explanation:
circumference=2πr
r=d/2=17/2=8.5
circumference= 2 x 3.142 x 8.5
=53.4 to the nearest tenth
There are two numbers between 30 and 40 that have just two factors.
What are they?
Answer:
31 and 37
Step-by-step explanation:
Those are the only two numbers
Answer:
The two numbers between 30 and 40 which have only 2 factors are -
31 and 37
Hope it helps you.
pls help if you can asap!!!!
Answer: A
Step-by-step explanation: I would say A because the angle is greater than 90 degrees
Answer:
We have supplementary angles.
76 + 3x + 2 = 180
3x + 78 = 180
3x = 102
x = 34
to use logistic regression with a categorical dependent variable, at least one independent variable must be measured at the ______ level
To use logistic regression with a categorical dependent variable, at least one independent variable must be measured at the nominal or ordinal level.
Logistic regression is a statistical model used to predict categorical outcomes, typically binary outcomes (e.g., yes/no, success/failure). The dependent variable in logistic regression is categorical, representing different categories or classes. To predict this categorical outcome, independent variables (also known as predictors or features) are used. These independent variables can be of various types, such as continuous, ordinal, or nominal.
However, to properly apply logistic regression, it is necessary to have at least one independent variable that is measured at the nominal or ordinal level. This is because logistic regression models are designed to handle categorical data, and having such variables allows for the estimation of probabilities and the prediction of class membership based on the given independent variables.
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Write the number two and a half million in figures?
Answer:
2,500,000
Step-by-step explanation:
here's the answer
have a great day or night
The radius of a circle is 4 m. Find its area in terms of
π
π.
Answer:
16π
Step-by-step explanation:
Given:
\(\text{Radius of circle}: 4 \ \text{m}\)
Formula:
\(\text{Area of circle} = \pi r^{2}\)
Replace the radius in the formula:
\(\implies \text{Area of circle} = \pi (4)^{2}\)
Evaluate the area:
\(\implies \text{Area of circle} = \pi (4)(4)\)
\(\implies \text{Area of circle} = 16\pi\)
Since the question says to determine the area in terms of π, the final answer is 16π.
solve this problem pls a question of inequality
Answer:
x > - 6
Step-by-step explanation:
\(\frac{x}{2}\) > - 3 ( multiply both sides by 2 to clear the fraction )
x > - 6
You have round tables each seating 6 people. As your guests sit at the table, how many degrees must you rotate to look from the guest to their left to the guest to their right? (Hint: The interior angles of regular polygon measure ((n - 2) x 180) / n where n is the number of sides.)
To look from the guest to their left to the guest to their right at a round table seating 6 people, you need to rotate by 60 degrees.
For a regular polygon with n sides, the sum of its interior angles is given by ((n - 2) × 180) degrees. In the case of a round table seating 6 people, the table can be considered as a hexagon, which has 6 sides. Using the formula, we can calculate the sum of the interior angles:
((6 - 2) × 180) / 6 = (4 × 180) / 6 = 720 / 6 = 120 degrees
Since the table forms a complete circle, the sum of the interior angles is divided equally among the guests. Therefore, each guest sits at an angle of 120 degrees. To look from the guest to their left to the guest to their right, you need to rotate by the angle between adjacent guests, which is half of the angle they sit at:
120 / 2 = 60 degrees
Thus, to look from the guest to their left to the guest to their right at a round table seating 6 people, you need to rotate by 60 degrees.
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Solve for x. Round to the nearest tenth, if necessary.
ANSWER
14.3
EXPLANATION
angle = 21⁰
opposite side = 5.5
adjacent side = x
Knowing this, we must use tangent (opposite / adjacent)
tan (21⁰) = 5.5 / x
x = 5.5 / tan (21⁰) (use calculator)
x= 14.3
HELP 7GRADE MATH FOR 10 POINTSS! PLUS BRAINLIST
Answer:
Highest: 1277 meters. Closer to sea level: -969 meters
Suppose that a scientist seeks to compare the ability of a new hand sanitizer to eliminate Pseudomonas aeruginosa bacteria against the hand sanitizer currently in use. Assume that the mean number of bacteria remaining on a hand after using sanitizer is approximately normally distributed; however, the population standard deviation is unknown.
The scientist selects a simple random sample of 57 students. Each subject uses the new hand sanitizer on one randomly‑chosen hand and the sanitizer currently in use on the other. The number of Pseudomonas aeruginosa bacteria remaining on each hand after using the sanitizers is determined, and the difference in the number of bacteria on the hand treated with the new sanitizer and the number of bacteria on the hand treated with the current sanitizer is determined.
Choose the procedure for estimating the mean difference.
A. Two sample test for a difference in means
B. One sample confidence interval for paired data
C. Two sample confidence interval for a difference in means
D. One sample confidence interval for a difference in means
E. One sample test for paired data
The appropriate procedure for estimating the mean difference in this scenario is one sample confidence interval for paired data. The correct option is B.
Understanding Sample Confidence IntervalIn this study, each subject uses both the new hand sanitizer and the sanitizer currently in use, with the number of bacteria measured for each hand. This is a paired design, as each subject serves as their own control.
By using a one sample confidence interval for paired data, we can estimate the mean difference in the number of bacteria between the two sanitizers and determine the level of confidence in the estimate. This approach takes into account the paired nature of the data and provides a confidence interval specifically tailored for such situations.
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277 x 0.72 = ? how do i answer this multiplication question?
To answer the multiplication question 277 x 0.72. So, the answer to the multiplication question 277 x 0.72 is 199.44
you can follow the steps below: Step 1: Multiply the ones place (2) of the second factor (0.72) by the multiplicand (277). 2 x 7 = 14
Step 2: Place the one's digit of the product (4) in the one's place of the product and carry the tens digit (1)
Step 3: Move to the tens place of the second factor and multiply it by the multiplicand (277). 7 x 7 = 49
Step 4: Add the tens digit (1) carried from the previous step to the product (49). 49 + 1 = 50
Step 5: Place the tens digit of the sum (5) in the tens place of the product and carry the hundreds digit (5)
Step 6: Move to the hundreds place of the second factor and multiply it by the multiplicand (277). 0 x 7 = 0
Step 7: Add the hundreds digit (5) carried from the previous step to the product (0). 0 + 5 = 5
Step 8: Place the hundreds digit of the sum (5) in the hundreds place of the product. So,277 x 0.72 = 199.44. Therefore, the answer to the multiplication question 277 x 0.72 is 199.44
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El papa de Carlos compró 5 películas por $250 si solo comprara 2 películas ?cuanto pagaría?
what is the average slope/rate of change between (0, 1) and (2, 4)? what is the average slope/rate of change between (-2, 1/4) and (-1, 1/2)? is the slope/rate of change constant (not changing/the same)? is the function linear?
a) The average slope or rate of change between (0, 1) and (2, 4) is 3/2.
b) The average slope or rate of change between (-2, 1/4) and (-1, 1/2) is 1/4.
c) The slope or rate of change is not constant between these two pairs of points, since the average slopes are different.
d) The function connecting these pairs of points is not a linear function.
The average slope or rate of change between two points (x1, y1) and (x2, y2) on a line is given by
average slope = (y2 - y1) / (x2 - x1)
For the points (0, 1) and (2, 4), the average slope is
average slope = (4 - 1) / (2 - 0) = 3/2
For the points (-2, 1/4) and (-1, 1/2), the average slope is
average slope = (1/2 - 1/4) / (-1 - (-2)) = 1/4
The slope or rate of change is not constant between these two pairs of points, since the average slopes are different. Therefore, the function connecting these pairs of points is not a linear function.
Note that a linear function has a constant slope, so if the slope is changing, then the function cannot be linear.
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If−3x − 7 = 23, then 6x =_____?
Answer:
22
Step-by-step explanation:
We will first find the value of x .
Then we will multiply 6 to the value of x
Suppose the line contains the points (4,0) and (0,-2). If x = 3, find y.
The line which contains the points (4,0) and (0,-2), value of y when x =3 is, -1/2
What is the equation of line?The equation of a straight line is a relationship between x and y coordinates, The two point form of a straight line is y-y₁ = y₂-y₁/x₂-x₁(x-x₁).
Given that,
The points, (4,0) and (0,-2)
Equation of line for given two points,
y-y₁ = y₂-y₁/x₂-x₁(x-x₁)
y-0 = -2 - 0/0-4(x-4)
y = 1/2(x - 4)
2y = x - 4
when x = 3,
y = 1/2(3 - 4)
y = - 1/2
Hence, the value of y is -1/2
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Solve the system of equations.
7x – y = 7
7x2 – y = 7
(0, 7) and (0, –7)
(1, 0) and (0, –7)
(3, 14) and (0, –7)
(4, 14) and (–1, 10)
Answer:
2nd option
Step-by-step explanation:
7x - y = 7 ( multiply through by - 1 )
- 7x + y =- 7 ( add 7x to both sides )
y = 7x - 7 → (1)
7x² - y = 7 → (2)
substitute y = 7x - 7 into (2)
7x² - (7x - 7) = 7 ← distribute parenthesis on left side
7x² - 7x + 7 = 7 ( subtract 7 from both sides )
7x² - 7x = 0 ← in standard form
7x(x - 1) = 0 ← in factored form
equate each factor to zero and solve for x
7x = 0 ⇒ x = 0
x - 1 = 0 ⇒ x = 1
substitute these values into (1) for corresponding values of y
x = 0 : y = 7(0) - 7 = 0 - 7 = - 7 ⇒ (0, - 7 )
x = 1 : y = 7(1) - 7 = 7 - 7 = 0 ⇒ (1, 0 )
Answer:
B. (1, 0) and (0, –7)
Step-by-step explanation:
I took the algebra exam