Answer in image
Step-by-step explanation:
Simplify both sides of the inequality.
Add 60 to both sides.
Divide both sides by 14.
r = 67/14 or 4.78571...
The system of linear equations Negative 2 x + y = 8 and Negative 3 x minus y = 7 is graphed below.
On a coordinate plane, 2 lines intersect at (negative 3, 2).
What is the solution to the system of equations?
Answer:
x= -3
y= 2
Hope it helps :D
Answer:
its A
Step-by-step explanation:
on edge 2021
a line l1 passes through the point (3,3) and (5,7) find the equation of l1 in form of y=mx+c
The equation of l1 in the form y = mx + c is:
y = 2x - 3.
We can find the slope of the line passing through points (3,3) and (5,7) using the slope formula:
slope m = (y2 - y1) / (x2 - x1)
= (7 - 3) / (5 - 3)
= 2
Now we can use the point-slope form of the equation of a line to find the equation of l1:
y - y1 = m(x - x1)
y - 3 = 2(x - 3)
Simplifying this equation, we get:
y - 3 = 2x - 6
y = 2x - 3
Therefore, the equation of l1 in the form y = mx + c is:
y = 2x - 3.
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The current required reserve ratio is 8.1%. If a bank
receives a new deposit of $15,000, how much can they lend
out?
If a bank receives a new deposit of $15,000, the bank can lend out $13,785.
The required reserve ratio is the fraction of deposits that banks must hold as reserves. If the current required reserve ratio is 8.1% and a bank receives a new deposit of $15,000, they can lend out $13,785.
The bank can lend out the amount equal to the deposit minus the required reserve amount. In this case, the new deposit is $15,000 and the required reserve ratio is 8.1%, so the calculation is as follows:
Required reserve amount = Deposit × Required reserve ratio
Required reserve amount = $15,000 × 0.081
Required reserve amount = $1,215
The bank must hold $1,215 as required reserves and can lend out the remaining amount:Amount available for lending = Deposit − Required reserve amount
Amount available for lending = $15,000 − $1,215
Amount available for lending = $13,785
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Quanto é
78+34789+1+234+5678
the answer is 40780
I would show you my calculations but I don't know how to add pictures to your answer .sorry
I hope that helped
Create the equation of a parabola with no x-intercepts.
Answer:
Step-by-step explanation:
No x intercept means it can't touch the x axis y=x^{2}+1 does the trick since it moves the whole thing up one unit
In 1960, the U.S. population was 181 million. Use this to find a model for P(t). (Enter exact numerical values. Do not round.)
The exact growth rate (r) for the exponential model or the slope (m) and y-intercept (b) for the linear model. More data points or additional information about the population growth pattern would be needed to construct a precise model for P(t).
To find a model for P(t), representing the U.S. population in 1960, we need to determine the growth or decay rate over time. Without additional information or assumptions about the population growth, we cannot provide an exact model. However, we can explore two common models: exponential growth and linear growth.
1. Exponential Growth Model:
If we assume that the U.S. population experienced exponential growth, we can use the formula P(t) = P₀ * e^(rt), where P₀ represents the initial population, r is the growth rate, t is the time in years, and e is the base of the natural logarithm (approximately 2.71828).
Using the given information that the U.S. population in 1960 was 181 million, we can write the equation as follows:
181,000,000 = P₀ * e^(r * 1960)
2. Linear Growth Model:
Alternatively, if we assume that the U.S. population grew linearly, we can use the formula P(t) = mt + b, where m is the slope (rate of change) and b is the y-intercept.
Using the given information, we can form an equation as follows:
181,000,000 = m * 1960 + b
Without further information or data points, we cannot determine the exact growth rate (r) for the exponential model or the slope (m) and y-intercept (b) for the linear model. More data points or additional information about the population growth pattern would be needed to construct a precise model for P(t).
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. If Ya/n and Y2/n are the respective independent relative frequencies of success associated with the two binomial distributions b(n, P1) and b(n, P2), compute n such that the approximate probability that the random
interval (Y1/n - Y2/n) ‡ 0.05 covers pi - p2 is at least 0.80. HINT: Take p* = P° = 1/2 to provide an upper bound
for n.
we would need a sample size of at least 502 for the approximate probability of the random interval (Y1/n - Y2/n) ‡ 0.05 covering pi - p2 to be at least 0.80.
To compute n, we can use the formula:
n = ((zα/2)^2 * 2p*(1-p*)) / (ε^2)
Where zα/2 is the z-score associated with a confidence level of 1-α, p* is the probability of success for a binomial distribution, and ε is the margin of error.
Since we are given that the approximate probability of the random interval (Y1/n - Y2/n) ‡ 0.05 covering pi - p2 is at least 0.80, we can set α = 0.20 to find the corresponding z-score of 1.28.
Using p* = 1/2 as an upper bound for both P1 and P2, we can calculate the margin of error as:
ε = zα/2 * sqrt((p*(1-p*)) / n)
Plugging in the values, we get:
0.05 = 1.28 * sqrt((0.25) / n)
Solving for n, we get:
n = 501.76
Therefore, we would need a sample size of at least 502 for the approximate probability of the random interval (Y1/n - Y2/n) ‡ 0.05 covering pi - p2 to be at least 0.80.
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Estimate, to the nearest degree, the size of each radian measure in degrees.
a) 2.5
b) 5.2
c) 6.8
B. Just saying, this is an estimate, yet it seems more logical.
The original selling price of a jacket was s dollars. The selling price was then changed on two occasions by the store owner. Its price is now represented by 0. 85 (1. 4s). Which expression could explain what happened to the price of the jacket?
The expression 0.85(1.4s) explains what happened to the price of the jacket through the two changes made by the store owner.
The original selling price of the jacket was s dollars.The store owner made the first change, increasing the selling price by 40%. This can be represented by multiplying the original price (s) by 1.4: 1.4s.The store owner then made a second change, reducing the selling price by 15%. This can be represented by multiplying the new price (1.4s) by 0.85: 0.85(1.4s).So, the expression 0.85(1.4s) explains what happened to the price of the jacket through the two changes made by the store owner.
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for a posttest following anova, there are four different treatment groups. how many pairwise comparisons must be made to gain a complete understanding of which treatment effects differ significantly from others? a. 4 b. 6 c. 12 d. 24
There are 6 pairwise comparisons that need to be made in order to gain a complete understanding of which treatment effects differ significantly from others.
In order to determine which treatment effects differ significantly from others, we need to make pairwise comparisons between all possible pairs of treatment groups. Let's consider an example with four treatment groups labeled A, B, C, and D.
To determine which treatment effects differ significantly from others, we need to compare the mean scores of each treatment group with the mean scores of every other treatment group. This means we need to make the following pairwise comparisons:
A vs B
A vs C
A vs D
B vs C
B vs D
C vs D
Therefore, there are 6 pairwise comparisons that need to be made in order to gain a complete understanding of which treatment effects differ significantly from others.
It's worth noting that when making multiple pairwise comparisons, there is an increased risk of making a Type I error (i.e., rejecting the null hypothesis when it is actually true) due to the multiple testing problem. To control for this, researchers may choose to adjust the significance level or use methods such as the Bonferroni correction to adjust the p-values of the individual tests.
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The low temperature in Leroy’s town one day was Negative 4 degrees Fahrenheit. The difference between the high temperature and the low temperature that day was 6 degrees Fahrenheit. The equation h minus (negative 4) = 6 can be used to find h, the high temperature in the town that day in degrees Fahrenheit. What was the high temperature in the town that day, in degrees Fahrenheit?241014
Answer:
Step-by-step explanation:
The high temperature was 2 degrees Fahrenheit in the town that day.
Given that,
Low temperature in Leroy's town = -4 degree Fahrenheit
Difference between low and high temperature = 6 degrees Fahrenheit
Now, Equation used to find high temperature h;
h - (- 4) = 6
h + 4 = 6
h = 6 - 4
h = 2
Therefore, The high temperature was 2 degrees Fahrenheit in the town that day.
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parking survey: for a class assignment, a group of statistics students set up a table near the student parking lot. they asked students who passed by to complete a quick survey about whether they support the building of a multi-level parking structure that would add 425 new spaces at the college. they used the information from the survey to calculate the 95% confidence interval: (0.53, 0.72). to which population does the confidence interval apply?
As per the given situation, D. these apply only to the population of those students who drive to the college.
The study's 95% confidence interval only pertains to the group of students who drive to the institution and were present near the parking lot when the survey was conducted. Since the sample might not be entirely representative of the total population of interest, it may not necessarily apply to all students who drive to college.
The purpose of the poll was to learn whether or not college students supported the construction of a multi-level parking garage that would add 425 new spaces to the campus. The students also computed a 95% confidence interval based on the survey results to determine the range of expected values for the genuine proportion of students who favour the construction of the new parking structure.
Complete Question:
parking survey: for a class assignment, a group of statistics students set up a table near the student parking lot. they asked students who passed by to complete a quick survey about whether they support the building of a multi-level parking structure that would add 425 new spaces at the college. they used the information from the survey to calculate the 95% confidence interval: (0.53, 0.72). to which population does the confidence interval apply?
A. They apply to all students at the college.
B. They apply only to the population of those who use the student parking lot.
C. The results do not apply to any population because this was a convenience sample.
D. They apply only to the population of those students who drive to the college.
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Please fast brainly giving brainlist to correct answer
Answer:
1. 2/3
2. 15/2 (7.5)
Step-by-step explanation:
1. Scale down from larger to smaller:
6/9 = 4/6 = 2/3
ΔDEF ⇒ ΔABC \(=\frac{2}{3}\)
2. \(EF=\frac{5}{\frac{2}{3} } =\frac{(5)(3)}{2} =15/2\) or 7.5
I hope this help you
Analyze the following code:int[] [] matrix = new int [5] [5];for (int column = 0;column < matrix [4].length; column++);10;matrix [4] [column]A. After the loop, the last row of matrix is 10, 10, 10, 10, 10.B. A syntax error, because column is not defined.ducatorsC. After the loop, the last column of matrix is 10, 10, 10, 10, 10.D. After the loop, the last row of matrix is 0, 0, 0, 0, 10.
The correct answer is D. After the loop, the last row of matrix is 0, 0, 0, 0, 10.
This is because the code initializes a 5x5 matrix with all elements set to 0. Then, the for loop iterates over the length of the last row (which is 5), and sets the values in the last row to 10. However, the loop also has a semicolon immediately after the condition, which effectively terminates the loop before it even starts executing the loop body.
Therefore, only the initialization statement (which does nothing) and the semicolon are executed, leaving the rest of the matrix unchanged except for the last element in the last row, which is set to 10.
In computer programming, an initialization statement is a statement used to set an initial value to a variable or constant when it is declared. This is typically done to ensure that the variable or constant starts with a known and expected value, and to avoid any unpredictable behavior that may result from uninitialized data.
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Un parque tiene una piscina en forma circular de 22 yd de diámetro. Un sendero en forma anular rodea la piscina. El sendero mide 6 yd de ancho. El sendero necesita una nueva capa de revestimiento. Si un galón de revestimiento cubre 4 yd2 ¿cuantos galones de revestimiento se necesitan?
Answer:
La verdad Nose la respuesta espero que alguien te ayude
i am a decimal with 2 decimal places round me to the nearest tenth and I will be 7.6 What are the decimals that i might be?
Answer:
The answer is below
Step-by-step explanation:
There are multiply answers, I am pretty these are the answers
7.55
7.56
7.57
7.58
7.59
Step-by-step explanation:
The decimal can be from 7.55-7.64
When the range of the decimal is from 1-4, 5-9 during rounding it then the value will change to 7.6
Like 7.64, 7.63,7.62,7.61 will be rounded off to 7.6
And 7.55,7.56,7.57,7.58,7.59 will be rounded off to 7.6 too
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The width of Maya’s poster is 2 inches shorter than the length. The graph models the possible area (y) of Maya’s poster determined by its length (x).
Which describes what the point (2, 0) represents?
In the box below, type in all of the names possible for this shape. Some words may not be used.Why did you give the shape the names that you did? Explain using sides and angles.
The names possible for the shape are
Quadrilateral - this means a four sided figure
Parallelogram - Opposite sides are parallel to each other
Rhombus - The vertex angles are not all equal to each other
What is a quadrilateral?A polygon with four sides and angles is known as a quadrilateral. This two-dimensional plane shape features straight borders that connect at its four vertices, also referred to as corners.
A rhombus is a parallelogram because the opposites sides are parallel to each other
Geometrically speaking, a rhombus denotes a specific kind of quadrilateral encompassing four equal-lengthed border lines.
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the following data represent the pulse rates (beats per minute) of nine students enrolled in a statistics course. treat the nine students as a population. complete parts (a) to (c). student perpectual bempah megan brooks jeff honeycutt clarice jefferson crystal kurtenbach janette lantka kevin mccarthy tammy ohm kathy wojdya . . . question content area right part 1 (a) determine the population mean pulse. the population mean pulse is approximately enter your response here beats per minute. (type an integer or decimal rounded to the nearest tenth as needed.)
The population mean pulse is approximately 70.44 beats per minute. The mean pulse of sample 1 is approximately 65 beats per minute.
The mean pulse of sample 2, is approximately 73.67 beats per minute.
How to solve for the mean pulsea. mean = ∑x/n
= 634 / 9
= 70.44
b. The mean of sample 1
= 64 + 65 + 66 / 3
= 195 / 3
= 65
c. the mean of sample 2
= 81 + 67 + 73 / 3
= 221 / 3
= 73.67
In summary, The population mean pulse is approximately 70.44 beats per minute. The mean pulse of sample 1 is approximately 65 beats per minute. The mean pulse of sample 2, is approximately 73.67 beats per minute.
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Complete question
Student
Pulse
Perpectual Bempah
64
Megan Brooks
81
Jeff Honeycutt
67
Clarice Jefferson
68
Crystal Kurtenbach
80
Janette Lantka
70
Kevin McCarthy
73
Tammy Ohm
65
Kathy Wojdya
66
(a) Determine the population mean pulse is approximately ____?__beats per minute.
(Type an integer or decimal rounded to the nearest tenth as needed.)
(b) Determine the sample mean pulse of the following two simple random samples of size 3.
Sample 1: {Perpectual, Tammy Kathy}
Sample 2: {Jeff, Megan, Kevin}
The mean pulse of sample 1 is approximately ___?___ beats per minute.
(Round to the nearest tenth as needed.)
The mean pulse of sample 2, is approximately ____?__ beats per minute.
(Round to the nearest tenth as needed.)
Evaluate the expression for x = 5:
2 (x-2)² +5
Therefore, the value of the expression for x = 5 is 23 when the expression is 2*(x-2)² +5.
What is expression?An expression is a mathematical phrase that combines numbers, variables, and operations. Expressions can be simple or complex, and they can represent quantities or relationships between quantities. Expressions can be evaluated by substituting values for the variables, simplifying the operations, and obtaining a numerical result. Some expressions can be simplified or factorized using algebraic rules and techniques.
Here,
To evaluate the expression for x=5, we substitute 5 for x and simplify:
=2(x - 2)² + 5
= 2(5 - 2)² + 5 (substitute x = 5)
= 2(3)² + 5 (simplify inside the parentheses)
= 2(9) + 5 (square 3)
= 18 + 5 (multiply 2 by 9 and add 5)
= 23 (add 18 and 5)
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Write 4x^4 + x^6 - 3+ 6x^8 in standard form.
Answer:
6x^8 + x^6 + 4x^4 + 0x^2 - 3
Step-by-step explanation:
Rewrite this in descending order by powers of x:
6x^8 + x^6 + 4x^4 + 0x^2 - 3x^0
or
6x^8 + x^6 + 4x^4 + 0x^2 - 3
What is the value of x
(X+40) (3x)
A. 20
B. 35
C. 60
D. 70
Answer: A. 20 is the answer.
Step-by-step explanation:
x+40 = 3x
or, 40 = 3x-x
or, 2x = 40
or, x = 40/2
so, x = 20
2.1 Convert the following common fractions to decimal fraction. 2.1.2.
\( \frac{9}{25} \)
The decimal fraction that represents the given fraction is: 0.36.
How to convert to decimal fractionsTo convert the figure from the given form to the decimal fraction, you can choose to use the long division format or simply divide it with the common factors. Between, 9 and 25, there is no common factor, so the best method to use here will be long division. Thus, we can proceed as follows:
1. 25 divided by 9
This cannot go so, we put a zero and a decimal point as follows: 0.
Then we add 0 to 90
2. Now, 25 divided by 90 gives 3 remainders 15. We add 3 to the decimal: 0.3
3. 90 minus 75 is 15. we add a 0 to this and divide 150 by 25 to get 6. This is added to the decimal to give a final result of 0.36.
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Rowan is taking his siblings to get ice cream. They can't decide whether to get a cone or a cup because they want to get the most ice cream for their money. If w = 2.5 in, x = 5 in, y = 5 in, z = 3 in, and the cone and cup are filled evenly to the top with no overlap, which container will hold the most ice cream? Use 3.14 for π, and round your answer to the nearest tenth.
Answer:
The cup holds 26.2 in3 more ice cream than the cone.
Step-by-step explanation:
1. Let's find the volume of ice cream that the cone holds, this way:
Volume = π * r² * h/3
Replacing with the real values, we have:
Volume = 3.14 * 2.5² * 5/3
Volume =32.7 inches³
2. Let's find the volume of ice cream that the cup holds, this way:
Volume = π * r² * h
Diameter = 5 inches ⇒ Radius = 2.5 inches
Replacing with the real values, we have:
Volume = 3.14 * 2.5² * 3
Volume =58.9 inches³
3. Let's find the difference, this way:
Volume of the cup - volume of the cone = 58.9 - 32.7 = 26.2 inches³
The cup holds 26.2 in³ more ice cream than the cone.
Please solve these radical equations and show the steps so that I can understand them. In my notes, it says the steps are to Isolate the radical, square both sides, solve for the variable, and check for the extraneous solutions so if this is what you are supposed to do please show these steps in action. Thank you for your time.
Answer:
1) X = 0
2) X = 0 or X = 1
Step-by-step explanation:
1)
\( \sqrt{6x} + 9 + 2 = 11 \)
6x = 0 since root can only be = 0 if radicand is 0
X = 0
2)
\( \sqrt{x} - 3 + 3 = x\)
\( \sqrt{x} = x\)
X = x^2 ( We are squaring both sides to simplify)
x-x^2 = 0
x (1-x) = 0 (Factor the expression)
X = 0 or
1 -x = 0
X = 1
Answered by Gauthmath
Go step by step to reduce the radical.
Answer:
\(\sqrt{16}\sqrt{11}\)
Step-by-step explanation:
\(\sqrt{176}\implies \sqrt{16\cdot 11}\implies \sqrt{4^2\cdot 11}\implies 4\sqrt{11}\)
Find the first three terms of the arithmetic series described.
n=15, a_n=4/5, S_n=45
Answer:
Step-by-step explanation:
Eva measures the mass of 25 children. She calculates the mean and the median of the masses. Eva makes a mistake when measuring the mass of one child. That child's actual mass is 5 kg greater than Eva's measurement. Tick () the correct response to each of these statements. Must be truc Must Could be be true or false false The correct mean is greater than Eva's mean. The correct median is greater than Eva's median.
Answer:
the correct mean is greater than Eva's mean
Write an expression that tells you how fast height is changing, with respect to time, after a seconds have passed.
please help me with this question
Answer:
Step-by-step explanation:
The answer is attached below. There isn't much explanation for this. You just translate the word problem into a mathematical inequality.