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Salt was mixed with pure water in a 1:3 proportion. What is the percentage of salt in the new solution?
Answer:
25%
Step-by-step explanation:
The proportion of salt in the mixture is 1:3; which means that for every portion of solution, salt makes up 1 part for every 3 parts of pure water.
Thus, salt makes up 1 part of every 1+3=4 portions of solution, or 25% ....................
Answer:
25 percent, because 1/4 is 0.25
Which expression is equivalent to 32x + 24 using the greatest common factor?
A.
4(8x + 6)
B.
8(4x + 3)
C.
4x(8 + 6)
D.
8x(4 + 3)
there are 19 people working at a business. the box-and-whisker plot shows information about the monthly salaries of these 19 people. if each of the 19 people earns a different monthly salary, which statement must be true, based on the box-and whisker plot?
The true statement based on the box-and whisker plot of 19 people are The median monthly salary is higher than the first quartile, The first quartile is higher than the minimum monthly salary, The third quartile is higher than the median monthly salary, The maximum monthly salary is higher than the third quartile, There are no outliers in the dataset.
A box-and-whisker plot provides a graphical representation of the five-number summary of a dataset: the minimum value, the first quartile (Q1), the median, the third quartile (Q3), and the maximum value. The box itself represents the middle 50% of the data (between Q1 and Q3), and the whiskers extend to the minimum and maximum values, with any outliers plotted as individual points.
Therefore, some possible statements that could be true based on the box-and-whisker plot of the monthly salaries of the 19 people are:
The first quartile is higher than the minimum monthly salary.
The third quartile is higher than the median monthly salary.
The median monthly salary is higher than the first quartile.
The maximum monthly salary is higher than the third quartile.
There are no outliers in the dataset.
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You are playing a game. If you lose 2.2 points for every mistake that you make, how many points would you lose if you made 8 mistakes?
BD is paralell to XY, what is the value of y?
A. 125
B. 85
C. 65
D. 105
Answer:
options b is correct
Does the answer help you?
Answer:
B. \(85\)
Explanation:
This is a simple test of your knowledge about this sort of problem. When you get 2 parallel lines intersected the way you see in the picture, the lower right angle of the first intersection is equal to the upper left angle of the first line as well as the upper left and lower right angles of the second line so with that knowledge you can immediately identify that since the question gives you the measure of an angle equal to the angle you need to identify; you don't even need to do any math to find the answer for this question.
7.) There were thirty-eight bales of hay in the barn. Dylan stacked more bales in the barn
today. There are now ninety-nine bales of hay in the barn. How many bales did he store in the
barn?
Answer:
61 bales of hay
Step-by-step explanation:
38 + 61 = 99
The percentage of the battery's capacity that is charged as a function of time (in minutes) is graphed.
A first quadrant coordinate plane. The horizontal axis is from zero to thirty-two-point-five with a scale of two point five and is titled Time in minutes. The vertical axis is from zero to one hundred with a scale of five and is titled Capacity, percent charged. The graph of the line is y equals two x plus forty. The graph ends at thirty minutes.
A first quadrant coordinate plane. The horizontal axis is from zero to thirty-two-point-five with a scale of two point five and is titled Time in minutes. The vertical axis is from zero to one hundred with a scale of five and is titled Capacity, percent charged. The graph of the line is y equals two x plus forty. The graph ends at thirty minutes.
At what rate is the battery charged?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
111 percent per minute
(Choice B)
B
202020 percent per minute
(Choice C)
C
101010 percent per minute
(Choice D)
D
222 percent per minute
The rate at which battery charges is 10 percent per minute.
According to the statement
we have given that the charging capacity of battery in the graphical representation.
And we from this we have to find the percentage by which battery charges.
And the graphical representation given is :
The horizontal axis is from zero to thirty-two-point-five with a scale of two point five and is titled Time in minutes. The vertical axis is from zero to one hundred with a scale of five and is titled Capacity, percent charged. The graph of the line is y equals two x plus forty. The graph ends at thirty minutes.
A first quadrant coordinate plane. The horizontal axis is from zero to thirty-two-point-five with a scale of two point five and is titled Time in minutes.
And according to this representation it is clear that the percentage by which battery charges is 10 percentage per minute.
So, The rate at which battery charges is 10 percent per minute.
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(1 point) college officials want to estimate the percentage of students who carry a gun, knife, or other such weapon. how many randomly selected student
Probability Theory
P (K) =\(\frac{n (K) }{n (S)}\)
P(K) : probability of selected K
n (K) : number of occurence of K
n (S) : number of all occurence
In question is not contain information about the number of students who curry a gun, knife, or other weapon and the number of all students. so, we can desribe that :
n (A) : the number of occurence of students who curry a gun
n (B) : the number of occurence of students who curry a knife
n (C) : the number of occurence of students who curry other weapon
and the number of all students is n ( A U B U C) -> union of sets
how many randomly selected student? in question, there is no specific about the student. so, we can answer with :
1) probability of students who curry a gun
P (A) = \(\frac{n (A) }{n (AUBUC)}\)
2) probability of students who curry a knife
P (B) = \(\frac{n (B) }{n (AUBUC)}\)
3) probability of students who curry other weapon
P (C) = \(\frac{n (C) }{n (AUBUC)}\)
and if question want to estimate with percentage, we can multiply with 100%. example :
1) percentage of probability of students who curry a gun
P (A) = \(\frac{n (A) }{n (AUBUC)}\) x 100%
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write an equation in slope intercept form for the line described. perpendicular to y = -1/2x + 2/3, passes through (2,3)
Step-by-step explanation:
Hey there!
Follow the steps to get answer.
Use one point formula and find 1st equation.After that you find the slope of second equation.Use the condition of perpendicular lines and find the slope of first equation. Put slope value of equation in equation (i) and simplify them to get equation.The equation of a line passing through point (2,3) is;
(y-3)= m1(x-2).......(i).
Another equation is;
\(y = \frac{ - 1}{2} x + \frac{2}{3} \)
2nd equation..
Now, From equation (ii)
We have;
Comparing equation (ii) with y = mx+c.
We get;
Slope = -1/2.
For perpendicular lines,
\(m1 \times m2 = - 1\)
\(m1 \times \frac{ - 1}{2} = - 1\)
Therefore the slope is 2.
Put value of slope (m1) in equation (i). We get;
\((y - 3) = 2(x - 2)\)
Simplify them to get equation.
\((y - 3) = 2x - 4\)
\(y = 2x - 1\)
Therefore the required equation is y = 2x-1.
Hope it helps..
-7.5x + 0.25 = -5.75
The value of x is =
Answer:
x = 4/5
I hope this helps!
Answer:
x = .8
Step-by-step explanation:
-7.5x = -5.75 - 0.25
-7.5x = -6.0
-6.0/-7.5 = .8
in looking at a scatterplot of interrater reliability, why would a researcher want to see all the dots close to the line of agreement?
In looking at a scatter plot of inter-rater reliability, a researcher would want to see all the dots close to the line of agreement because it shows that there is a high level of agreement between the raters.
What is inter-rater reliability?Inter-rater reliability refers to the degree to which different raters or observers agree on their judgements or evaluations of a particular behavior, characteristic, or event. It is a measure of consistency between the observations of two or more raters. Inter-rater reliability is important because it ensures that the results obtained from the research are valid and reliable, which means that they are accurate and can be trusted.
In a scatterplot of interrater reliability, the dots represent the ratings or observations made by different raters. The line of agreement is a straight line that represents perfect agreement between the raters, i.e., all the raters make the same rating. If all the dots are close to the line of agreement, it means that the raters are in close agreement with each other, and there is a high level of inter-rater reliability.
If the dots are scattered far from the line of agreement, it means that the raters are not in agreement with each other, and there is a low level of inter-rater reliability. Thus, a researcher would want to see all the dots close to the line of agreement because it shows that there is a high level of agreement between the raters.
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If the points a,b and c have the coordinates a(5,2) , b(2,-3) and c(-8,3) show that the triangle abc is a right angled triangle
Points a,b and c satisfied the Pythagoras theorem. Thus, the triangle abc is a right angled triangle.
Define about the right angled triangle:Every triangle has inner angles that add up to 180 degrees. A right angle and a right triangle are both formed when one of their internal angles is 90 degrees.
The internal 90° angle of right triangles is denoted by a little square in the vertex. The complimentary angles of the other two sides of a right triangle sum up to 90 degrees.The triangle's legs, which are typically denoted by the letters a and b, are the sides that face the complimentary angles.Given coordinates :
a(5,2) , b(2,-3) and c(-8,3).
Find the distance between the points using the distance formula:
d = √[(x2 - x1)² + (y2 - y1)²]
ab = √[(2 - 5)² + (- 3 - 2)²]
ab = √[(-3)² + (- 5)²]
ab = √[9 + 25]
ab = √34
ab² = 34
bc = √[(2 + 8)² + (- 3 - 3)²]
bc = √[(10)² + (- 6)²]
bc = √[100 + 36]
bc = √136
bc² = 136
ac = √[(-8 - 5)² + (3 - 2)²]
ac = √[(-13)² + (1)²]
ac = √[169 + 1]
ac = √170
ac² = 170
Now,
(ac)² = (bc)² + (ab)²
170 = 136 + 24
170 = 170
This, points a,b and c satisfied the Pythagoras theorem. Thus, the triangle abc is a right angled triangle.
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Which statements can be used to write an algebraic expression to represent the phrase? the quotient of a number and sixteen Check all that apply. Replace "a number" with a variable, like t. Quotient represents division. Quotient represents multiplication. The coefficient is 16. The correct algebraic expression is 16t. The correct algebraic expression is StartFraction t Over 16 EndFraction.
Answer:
t/16
•The correct algebraic expression is StartFraction t Over 16 EndFraction
Step-by-step explanation:
Quotient of a number and 16
Let the number=t
Quotient represent division
The expression can be written as t/16
•Replace "a number" with a variable, like t.
•Quotient represents division.
•The correct algebraic expression is StartFraction t Over 16 EndFraction
Answer:
t/16
•The correct algebraic expression is StartFraction t Over 16 EndFraction
Step-by-step explanation:
Quotient of a number and 16
Let the number=t
Quotient represent division
The expression can be written as t/16
•Replace "a number" with a variable, like t.
•Quotient represents division.
•The correct algebraic expression is StartFraction t Over 16 EndFraction
Give the other persn credit to :D
Correct Answers only!
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Round your answer to the nearest dollar.
Answer:
128,000
Step-by-step explanation:
I=prt
I=80,000 x 15 x 4
I=128,000
Answer:
$128000
Step-by-step explanation:
Using the given formula :
I = P × R × T
I = 80000 × 15/100 × 4
I = $48000
He saves = 48000 +80000 = $128000
find the area of this figure
Answer:
170 in²
Step-by-step explanation:
This trapezoid is broken up into two shapes: a triangle and a parallelogram.
The formula for area of a triangle is b (base) × h(height) ÷ 2.
The base of the triangle is 4 and the height is 10.
b (base) × h(height) ÷ 2
10 × 14 ÷ 2 = 70
-------------------------------------------------------------------------------------------------------------
The formula for area of a parallelogram is b (base) × h(height).
The base of the parallelogram is 10 and the is 10 as well.
b (base) × h(height)
10 × 10 = 100.
-------------------------------------------------------------------------------------------------------------
Lastly, add both areas.
100 + 70 = 170
Therefore, the area of this figure is 170 in².
The circular region of the sign (below, left) has an area of 154 square inches. Vanessa would like to place a tiny ribbon (shaded) around the circle's edge. To be sure she has enough ribbon, she decides to buy 2 inches more of the ribbon than the original circle's circumference. How many inches of ribbon will Vanessa need to buy if she estimates $\pi
Vanessa needs to buy 46 inches of ribbon if she estimates, as the area of the circle is 154 square inches and the circumference of the circle is 2r.
Formula: Area of Circle = πr²Circumference of Circle = 2πr Let's assume that radius is 'r'. Then the area of the circle is 154 square inches. So,πr² = 154r² = 154/π = 49 (approx) Putting the value of r in the formula of circumference, we get Circumference of Circle = 2πr Circumference of Circle = 2 x π x r = 2 x π x 7 = 44 (approx) According to the question, Vanessa would like to place a tiny ribbon around the circle's edge. To be sure she has enough ribbon, she decides to buy 2 inches more of the ribbon than the original circle's circumference. So, she will buy 44 + 2 = 46 inches of ribbon. Therefore, Vanessa needs to buy 46 inches of ribbon if she estimates π.
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Find the product of the binomials,
(x - 3)(x + 2) (x + 4) =
Answer:
Step-by-step explanation:
(x - 3)(x + 2) (x + 4) =
x^3+3x^2-10x-24
Answer:
x^3+3x^2-10x-24
Step-by-step explanation:
(x - 3)(x + 2) (x + 4)
multiply the first two together first
(x^2+2x-3x-6)(x+4) add like terms first
(x^2-x-6)(x+4)
then multiply
x^3+4x^2-x^2-4x-6x-24
add like terms
x^3+3x^2-10x-24
KAP
1 IN PU
1. Luis parents give him x dollars for his monthly allowance. Each month, he must
pay $35 for his cell phone. One-sixth of the remaining money can be spent on
entertainment. Which function can be used to find the amount in dollars Luis can
spend on entertainment?
A f(x) =*735
B. F(x) = 35x - 3
C. F(x) = 35 - $
D. F(x) = § - 35
The function can be used to find the amount in dollars Luis can spend on entertainment is 1/6(x-35)
Total amount of money luis get from his parent = x dollars
The amount luis has to pay to his parents for his cell phone is $35
After giving money for cell phone the amount of money left with luis will be x - 35
so, remaining money with luis = x - 35
One sixth of the remaining money which can be spent on entertainment by luis is 1/6(x-35)
The function can be written in the form of
f(x) = 1/6(x-35)
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A rare disease exists with which only 1 in 500 is affected. A test for the disease exists, but of course it is not infallible. A correct positive result (patient actually has the disease) occurs 95% of the time, while a false positive result (patient does not have the disease) occurs 1% of the time. If a randomly selected individual is tested and the result is positive, what is the probability that the individual had the disease?
There is a 16% probability that the individual actually had the disease given a positive test result.
The probability that the individual had the disease can be calculated as follows:
Let A = Event of testing positive and actually having the disease
Let B = Event of testing positive but not actually having the disease
We are looking for P(A|B), which is the probability of actually having the disease given a positive test result.
Using Bayes' Theorem, we have:
P(A|B) = P(A) * P(B|A) / P(B)
Bayes' theorem is a mathematical formula used in probability theory to calculate the probability of an event based on prior knowledge of conditions that might be related to the event.
It states that the conditional probability of an event A given event B is equal to the product of the probability of event B and the conditional probability of event A given event B, divided by the probability of event B. The formula is represented as P(A|B) = P(B|A) * P(A) / P(B).
Where:
P(A) = 1/500 (probability of having the disease)
P(B|A) = 0.95 (probability of a correct positive result given that the individual has the disease)
P(B) = P(B|A) * P(A) + P(B|A') * P(A') (probability of a positive test result)
= 0.95 * 1/500 + 0.01 * 499/500 (probability of a false positive result given that the individual does not have the disease)
Plugging in the values, we have:
P(A|B) = (1/500) * 0.95 / [0.95 * 1/500 + 0.01 * 499/500] = 0.16 or 16%
Therefore, there is a 16% probability that the individual actually had the disease given a positive test result.
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in how many ways can 3 students be seated in a row of 3 chairs if jack insists on sitting in the first chair?
There are 2 ways that 3 students be seated in a row of 3 chairs with jack in the first chair
What is permutation?It is the ordered arrangement of members belonging to a set with no repeats.
To solve this problem the formula and the permutation procedure we must use is:
nPr = n! / (n-r)!
Where:
nPr = permutationn = total number of objectsr = number of selected objects! = factorial of the numberInformation about the problem:
n = 2r = 2Applying the permutation formula we have:
nPr = n! / (n-r)!
3P3 = 2! / (2-2)!
3P3 = 2! / 0!
3P3 = 2*1 / 1
3P3 = 2
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Find the error with subject-verb agreement. select the incorrect verb and type it correctly. on the ledge there is three potted geraniums that desperately need water. however the hanging ferns in the living room are thriving.
Answer:
Step-by-step explanation:
ggggggg
Solve the equation 6(x + 2) = 3(2x + 4).How many solutions are there? Show your work
pls help me awnser the bottom question
Use the single variable regression model with house size as the independent variable to predict the selling price of a house that is 2,700 square feet.
We'll collect and analyze the data and then build the regression model and evaluate it in order to predict the selling price of a house that is 2,700 square feet using single variable regression model.
The single variable regression model assumes a linear relationship between the independent variable (house size) and the dependent variable (selling price). If the relationship is non-linear, a different regression model may be more appropriate.
Question: Use the single variable regression model with house size as the independent variable to predict the selling price of a house that is 2,700 square feet.
To predict the selling price of a house that is 2,700 square feet using the single variable regression model, we need to follow these steps:
1. Collect data: Obtain a dataset that includes information on house sizes and their corresponding selling prices. This dataset will be used to build the regression model.
2. Analyze the data: Examine the dataset to understand the relationship between house size and selling price. Plot a scatter plot to visualize the data points and determine if there is a linear relationship between the two variables.
3. Build the regression model: Fit a regression line to the data points using a statistical method like least squares regression. This line represents the relationship between house size (independent variable) and selling price (dependent variable).
4. Evaluate the model: Assess the quality of the regression model by calculating the coefficient of determination (R-squared value). This value measures how well the regression line fits the data. A higher R-squared value indicates a better fit.
5. Predict the selling price: Now that we have a regression model, we can use it to predict the selling price of a house with a given size. In this case, we want to predict the selling price of a house that is 2,700 square feet.
To predict the selling price of a house that is 2,700 square feet, we substitute the house size value (2,700) into the regression equation. The equation will give us the predicted selling price for a house of that size.
It's important to note that the accuracy of the prediction depends on the quality of the regression model. A higher R-squared value suggests a better prediction accuracy.
Remember, the single variable regression model assumes a linear relationship between the independent variable (house size) and the dependent variable (selling price). If the relationship is non-linear, a different regression model may be more appropriate.
Keep in mind that additional factors such as location, condition, and amenities can also influence the selling price of a house. Therefore, it's advisable to consider these factors in conjunction with the single variable regression model to make more accurate predictions.
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solve 11 ≤ w + 3.4 i dont know the answer please help me
Answer:
7.6 ≤w
Step-by-step explanation:
Hey there!
In order to solve this inequality, you need to simplify the inequality like the following:
Subtract 3.4 from both sides
7.6 ≤w
This means that w is greater than or equal to 7.6
What is 3/12 x 9/10?
Answer:
3/12 * 9/10 = 9/40
Step-by-step explanation:
To multiply fractions, you multiply the numerators with each other and the denominators with each other:
3/12 * 9/10 = (3*9)/(12*10) = 27/120 = 9/40
EASY POINTS!! EASY POINTS!!
NO LINKS OR FILES!!
Answer:
B
Step-by-step explanation:
What is the greatest common factor of the terms in the polynomial 8x4 – 4x3 – 18x2? 2x 2x2 4x 4x2.
The greatest common factor of the terms in the polynomial \(\rm 8x^4 - 4x^3 - 18x^2\) is \(\rm 2x^2\).
Given
Polynomial; \(\rm 8x^4 - 4x^3 - 18x^2\)
Greatest common factor;The "Greatest Common Factor" is the largest of the common factors (of two or more numbers).
The polynomial is;
\(\rm 8x^4 - 4x^3 - 18x^2\)
The coefficients of the terms in this expression are 8, 4, and 18.
The largest number that you can divide all of them with and get a whole number is 2.
So, 2 is part of our greatest common factor.
The exponent of the smallest x term is 2, so x^2 is the other part of our greatest common factor.
Hence, the greatest common factor of the terms in the polynomial \(\rm 8x^4 - 4x^3 - 18x^2\) is \(\rm 2x^2\).
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Answer:
2x^2
Step-by-step explanation:
The answer above is correct.
(x-h)^2+(y-k)^2=r^2
Derive standard form of an equation of a circle with center C(5,2) and radius r=4, using the Pythagorean theorem.
Answer:
(x-2)^2 + (y - 5)^2 = 16
Step-by-step explanation:
Given the standard form of an equation of a circle
(x-h)^2+(y-k)^2=r^2
If (h, k) = (5,2) and r = 4
Substitute
(x-2)^2 + (y - 5)^2 = 4^2
(x-2)^2 + (y - 5)^2 = 16
Hence the required equation is (x-2)^2 + (y - 5)^2 = 16
Enter the letter for the function
graphed below.
a) y = x + 2
b) y = √x-2
c) y =
3
x-2+2
x + 2-2
d) y =
e) y = √x+2
Answer:
a)y=∛(x+2)
Step-by-step explanation:
The graph have domain: x∈R
That is mean b) and e) can't be solution to this graph.
(-2,0) belong to the function. x=-2 y=0
Check:
a)y=∛(x+2) x=-2 y=0
0=∛(-2+2)
0=∛0
0=0 correct
a) is the answer.