Cintia bought 17 orders of chicken nuggets and 7 orders of French fries for her friends.
Let's solve the problem step by step:
Let's assume the number of orders of French fries as 'x'.
According to the given information:
The chicken nugget order was 4 fewer than three times the amount of French fries. This can be expressed as:
Number of chicken nugget orders = 3x - 4
She bought a total of 24 chicken nuggets and French fries. So we can set up the equation:
Number of chicken nugget orders + Number of French fry orders = 24
Substituting the expressions we derived earlier:
(3x - 4) + x = 24
Simplifying the equation:
4x - 4 = 24
4x = 28
x = 7
Now that we have found the value of 'x' as 7, we can substitute it back into the expressions to find the number of chicken nugget orders and French fry orders:
Number of chicken nugget orders = 3x - 4 = 3(7) - 4 = 21 - 4 = 17
Number of French fry orders = x = 7
Therefore, Cintia bought 17 orders of chicken nuggets and 7 orders of French fries for her friends.
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multiply.
4/5 x 2 2/3
Answer:
32/15
Step-by-step explanation:
2 and 2/3=8/3
4/5=4/5
4/5(8/3)
32/15
Answer:
\(2 \frac{2}{15} \)
Solution,
\( \frac{4}{5} \times 2 \frac{2}{3} \\ = \frac{4}{5} \times \frac{8}{3} \\ = \frac{4 \times 8}{5 \times 3} \\ = \frac{32}{15} \\ = 2 \frac{2}{15} \)
hope this helps...
Good luck on your assignment
Write the word sentence as an equation. Enter your equation without any spaces.
The difference between a number C and 17 is 3.
Answer:
jayfeather friend me
Step-by-step explanation:
Creating an equation with no solutions (video)
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Video result for sentence as an equation. Enter your equation without any spaces.The difference between a number3:09
Writing basic expressions word problems (video)
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Video result for sentence as an equation. Enter your equation without any spaces.The difference between a number2:02
Two-step equation word problem: garden (video)
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q
be
6
4
12
8
bt
15
X
lat/
The lines 11, 12, 13, and 14 are parallel.
What is the length of x?
A. 10
OB. 11
O C. 12
OD. 15
O E. 16
what is the slope of a line perpendicular to the line whose equation is y=2/3x+7 fully simplify your answer
Answer:
Not linear
Step-by-step explanation:
This equation does not have a set slope.
x - 1/3 = 6
Give your answer as an improper fraction.
Answer:
19/3 (6 1/3)
Step-by-step explanation:
Can someone solve this so that i can confirm that I’m doing it right?
Answer:
Below in bold.
Step-by-step explanation:
x /18 = 12/10
10x = 18*12
x = 216/ 10
= 21.6.
10/w = 18/24
10/w = 3/4
3w = 40
w = 40/3 = 13 33 to the neaest hundredth.
i have finals pls help
Answer:
38.28 .........................
Answer:
57.13..................................................
Which equation is not a linear function?
y = 2.2
y = x - 2
y=r+2
Answer:
step-by-step-explaination:
y=2.2
Write the equation of the circle centered at (-5, 10) with radius 13.
The equation of the circle centered at (-5, 10) with a radius of 13 is (x + 5)^2 + (y - 10)^2 = 169.
The equation of a circle centered at (h, k) with a radius of r is given by the equation:
(x - h)^2 + (y - k)^2 = r^2
In this case, the circle is centered at (-5, 10) and has a radius of 13. Plugging these values into the equation, we get:
(x - (-5))^2 + (y - 10)^2 = 13^2
Simplifying further:
(x + 5)^2 + (y - 10)^2 = 169
Therefore, the equation of the circle centered at (-5, 10) with a radius of 13 is (x + 5)^2 + (y - 10)^2 = 169.
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When the sample of participants is reflective of the characteristics of the population, it is said to be?
It is claimed that the sample of participants is generalizable since it reflects the characteristics of the population.
What is Generalizability? Simply said, generalizability is a measurement of the applicability of a study's findings to a larger population or set of circumstances. It is considered that a study has strong generalizability if its findings may be applied broadly to a wide range of individuals or circumstances. Researchers use generalizability in a scholarly setting. It can be characterized as the extrapolation of findings and recommendations from a study done on a sample population to the entire population.To learn more about generalizable, refer to:
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See your levels
A string of lights 4 yards long costs $9.48. What is the price per foot?
Hint: There are 3 feet in 1 yard.
$
Submit
Answer:
$0.79
Step-by-step explanation:
4 x 3 = 12
9.48/12 = 0.79
Hope this helppsssssssssssssssssssssssssssssssssssssssssssssss
2) Ralph ate 1/2 of a piebefore dinner. After dinnerhe ate 1/3 of what was left.What fraction of the pie didhe eat after dinner?'
In order to find the fraction of the pie Ralph eat after dinner, you take into account that after dinner He ate 1/3 of the pie he leaft before dinner.
You can write that the pie before dinner is variable x, then, before dinner Ralph ate 1/2 of such a pie, that is, Ralph ate 1/2x, hence, He leaft x - 1/2x=1/2x before dinner.
He ate 1/3 of the Pie he leaft before dinner, that is He ate 1/3(1/2x) = 1/6x
Hence, Ralph ate 1/6 of the pie after dinner.
while watching a game of champions league football in a cafe, you observe someone who is clearly supporting manchester united in the game. what is the probability that they were actually born within 25 miles of manchester ? assume that: the probability that a randomly selected person in a typical local bar environment is born within 25 miles of manchester is 1/20 the chance that a person born within 25 miles of manchester actually supports united is 7/10 the probability that a person not born within 25 miles of manchester supports united with probability 1/10
There are two possible cases to consider: either the person is born within 25 miles of Manchester or they are not. We can calculate the probability for each case and then use the total probability theorem to find the final answer.
Let's denote the event that a person is born within 25 miles of Manchester by A and the event that they support Manchester United by B. We know that:
P(A) = 1/20 (given in the problem)
P(B|A) = 7/10 (given in the problem)
P(B|not A) = 1/10 (given in the problem)
We want to find P(A|B), the probability that a person who supports Manchester United was born within 25 miles of Manchester. We can use Bayes' theorem to write:
P(A|B) = P(B|A)P(A) / [P(B|A)P(A) + P(B|not A)P(not A)]
Here, P(not A) = 1 - P(A) = 19/20.We can substitute the given probabilities in this formula and simplify:
P(A|B) = (7/10)*(1/20) / [(7/10)*(1/20) + (1/10)*(19/20)]
P(A|B) = (7/200) / (7/200 + 19/200)
P(A|B) = (7/26)
Therefore, the probability that a person who supports Manchester United was born within 25 miles of Manchester is 7/26.
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1. Select all the true statements.
A. √-I is an imaginary number.
-1
B. There are no real numbers that satisfy the equation x = √√-1.
C. Because √-I is imaginary, no one does math with it.
D. The equation x² = -1 has real solutions.
E. √-T = -1 because -1 -1 = -1.
Answer:
A , B , D
Step-by-step explanation:
your university is upgrading the computers on campus. a national student survey revealed that 62% of college students preferred pcs to macs. a recent poll of 200 social science majors at your university revealed that 82% of students preferred macs to pcs. how do social science majors at your university compare to national mac computer preference norms for college students? what is the correct statistical decision?
The social science majors at your university compare to national mac computer preference norms for college students statistical decision is 5.83.
The gathering, characterization, analysis, and drawing of inferences from quantitative data are all tasks that fall under the purview of statistics, a subfield of applied mathematics. Probability theory, linear algebra, and differential and integral calculus play major roles in the mathematical theories underlying statistics.
Finding valid inferences about big groups and general occurrences from the behaviour and other observable features of small samples is a major challenge for statisticians, or persons who study statistics. These tiny samples are representative of a small subset of a larger group or a small number of isolated occurrences of a widespread phenomena.
Proportion of students who preferred PC's to Mac (P) = 0.62
Sample size (n) = 200
Sample proportion of students who prefer Mac's to PCs = 0.82
To compare the proportion of students with Mac preference for college students a Z-test for single proportion will e conducted. The hypothesis is formulated as follows:
H o: There is no significant difference in the national proportion and college preference
H1 : There is a significant difference in the national proportion and college preference
The test statistic is computed below:
\(z=\frac{p-p_0}{\sqrt{\frac{p_0(1-p_0)}{n} } }\)
\(z=\frac{0.82-0.62}{\sqrt{\frac{0.62(1-0.62)}{200} } }\)
= 5.8272
Thus, the value of the test statistic is 5.83.
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determine whether the given value is a statistic or a parameter. a health and fitness club surveys 40
Any value calculated from this survey would be considered a statistic.
To determine whether the given value is a statistic or a parameter, consider the following:
A statistic is a numerical value calculated from a sample of the population, while a parameter is a numerical value that describes a characteristic of the entire population.
In this case, the health and fitness club surveys 40 members. This is a sample of the population, not the entire population.
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In a double-blind, placebo-controlled experiment:
a. subjects are assigned to different treatment groups, one of which receives an inactive substance that appears to be a treatment, through random selection.
b. a subject does not know whether he or she received a treatment or an inactive substance.
c. subjects with similar characteristics are assigned to the same group.
d. neither the subjects nor the people administering the treatments know who received a treatment and who received an inactive substance.
e. a subject who received an inactive substance reports an improvement in health or behavior.
The correct statement among the options (a)-(e) is d. neither the subjects nor the people administering the treatments know who received a treatment and who received an inactive substance.
In a double-blind, placebo-controlled experiment, both the subjects and the people administering the treatments are unaware of which participants received the active treatment and which received the placebo (inactive substance).
This is done to minimize bias and ensure the validity of the results. By keeping both the subjects and the administrators blinded to the treatment assignments, the study can effectively evaluate the true effects of the treatment without any potential influence from expectations or biases.
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Pump A and Pump B fill the pool in 35 minutes, Pump B and Pump C fill it in 40
minutes, and Pump A and Pump C fill it in 56 minutes. How many minutes will it take
all three pumps, working together, to fill the pool?
It will take all three pumps, Working together, 1.56 minutes to fill the pool.
The given information, we can write three equations as follows:
1) (1/A + 1/B)*35 = C ---(Equation 1)
2) (1/B + 1/C)*40 = C ---(Equation 2)
3) (1/A + 1/C)*56 = C ---(Equation 3)
We want how many minutes it will take all three pumps, working together, to fill the pool, so let's represent the time taken by all three pumps working together as "t".
When all three pumps work together, they can fill the pool in one minute, so their combined rate is 1/C.
Using the rate formula, we can write the following equation:
1/A + 1/B + 1/C = 1/t ---(Equation 4)
We have four unknowns (A, B, C, and t), so we need to solve for one of them to get the answer. Let's solve for "t".
First, we can simplify Equations 1, 2, and 3 as follows:
1) 1/A + 1/B = C/35
2) 1/B + 1/C = C/40
3) 1/A + 1/C = C/56
Next, we can substitute these equations into Equation 4 to get:
(C/35) + (C/40) + (C/56) = 1/t
Now, we can simplify and solve for "t":
LCD = 39200
1120C + 980C + 700C = 39200
2800C = 39200
C = 14
Substituting this value of "C" into any of the simplified equations, we can solve for "A" and "B". Let's use Equation 1:
1/A + 1/B = 14/35
5(A+B) = 98
A+B = 19.6
Now we can use A+B+C = 1/t to solve for "t":
t = 1 / (A+B+C) = 1 / (19.6 + 14) = 0.026 hours = 1.56 minutes
Therefore, it will take all three pumps, working together, 1.56 minutes to fill the pool.
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A, B and L are points on a circle, centre O.
AB is a chord of the circle.
M is the midpoint of AB.
LOM is a straight line.
AB = 24cm. LM = 18cm.
Calculate the diameter of the circle
Thus, the diameter of the circle for the given length of chord Ab is found as: 26 cm.
Explain about the diameter of circle?Any line segment that traverses a circle's centre and has both of its endpoints here on circle itself is said to have a diameter of that circle.
Given data:
AB is a chord of the circle.M is the midpoint of AB.LOM forms straight line.AB = 24cm. LM = 18cm.Let the radius of the circle be 'r'
In right triangle OMB.
OB² = OM² + MB²
r² = (18 - r)² + 12²
Further simplifying;
r² = (18)² + (r)² - 2*18*r + 12²
2*18*r = 324 + 144
r = 468 / 36
r = 13
Diameter = 2*13 = 26 cm
Thus, the diameter of the circle for the given length of chord Ab is found as: 26 cm.
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K is the midpoint of JL. KL= a -24 and JL=48. Find a, JK, and KL.
If K is the midpoint of JL, and (JL = 48), then (JK = KL = 24) and (a = 88).
As per the question statement, K is the midpoint of JL, and (JL = 48).
We are required to calculate the values of JK and KL and, also the value of "a" if [KL = (a - 24)].
Since, K is the midpoint of JL, then K divides JL into two equal line segments, JK and KL.
Therefore, lengths of JK and KL will be \(\frac{JL}{2}=\frac{48}{2}=24\), i.e., (JK = KL = 24).
Also, since [KL = (a - 24)],
\(24 = (a -24)\\or, a = [24-(-24)]\\or,a = (24+24)\\or,a = 88\)
Midpoint of a Line Segment: In geometry, the midpoint is the middle-most point of a line segment and is equidistant from both the endpoints of the line.To learn more about Midpoint of a Line Segment, click on the link below.
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Problem 6 (16 points). An individual opens a savings account with an initial investment of $500. The bank offers her an annual interest rate of 9%, which is continuously computed. She decides to deposit $200 every month. a) Write an initial value problem that models this investment over time. b) Solve the IVP.
c) What is the value of the investment in 2 years? d) After the 2 year mark, she increases her monthly investment to $300. What is the value of the investment a year later? Show all your work for full credit; you may use a calculator for this problem. Problem 7 (16 points). Solve the following IVP: ycosx−2xe y coz x − 2x eʸ -6x² - (x² eʸ - sin x - 4) yᶦ = 0; y (π) = 0
The investment problem is modeled by an initial value problem (IVP) where the rate of change of the investment is determined by the initial investment, monthly deposits, and the interest rate.
a) The investment problem can be modeled by an initial value problem where the rate of change of the investment, y(t), is given by the initial investment, monthly deposits, and the interest rate. The IVP can be written as:
dy/dt = 0.09y + 200, y(0) = 500.
b) To solve the IVP, we can use an integrating factor to rewrite the equation in the form dy/dt + P(t)y = Q(t), where P(t) = 0.09 and Q(t) = 200. Solving this linear first-order differential equation, we obtain the solution for y(t).
c) To find the value of the investment after 2 years, we substitute t = 2 into the obtained solution for y(t) and calculate the corresponding value.
d) After 2 years, the monthly deposit increases to $300. To find the value of the investment a year later, we substitute t = 3 into the solution and calculate the value accordingly.
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Enter the midpoint of the segment whose endpoints are (6, 5) and (−4, 12).
Step-by-step explanation:
Hey there!
Simply use the formula for midpoint to solve it.
Here, The given points are (6,5) and (-4,12).
Using midpoint formulae,
\((x,y) = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )\)
Put all values.
\((x,y) = ( \frac{6 - 4}{2} , \frac{5 + 12}{2} )\)
Simplify them to get answer.
\((x,y) = ( 1, \frac{17}{2} )\)
Therefore the midpoint is (1,17/2).
Hope it helps...
Imaginary Numbers what is i^16
A 1
B i
C -1
D -i
Answer:
A: 1
Step-by-step explanation:
\(i^{16}=\left(i^2\right)^8=\left(-1\right)^8=1\)
Answer: A. 1
Step-by-step explanation:
The idea of imaginary number is [i]=√-1, which usually occurs to be undefined in the real number system.
i=√-1
i^2=-1
i^3=-i
i^4=1
In the following question, it is asked to find i^16.
In order to find it, we divide 16 by 4, so to find which place it lands on.
16÷4=4
It is a perfect division, so it lands on i^4, which is 1
akashi takahashi and yoshiyuki kabashima, a statistical mechanics approach to de-biasing and uncertainty estimation in lasso for random measurements, journal of statistical mechanics: theory and experiment 2018 (2018), no. 7, 073405. 3
The article presents a novel approach to improving the performance of the Lasso algorithm, which has important applications in various fields such as economics, biology, and engineering.
The article "A statistical mechanics approach to de-biasing and uncertainty estimation in Lasso for random measurements" was published in the Journal of Statistical Mechanics: Theory and Experiment in 2018. The authors of the article are Akashi Takahashi and Yoshiyuki Kabashima.
The article discusses a method for improving the accuracy of the Lasso algorithm, which is a widely used technique in machine learning for selecting important features or variables in a dataset. The authors propose a statistical mechanics approach to de-bias the Lasso estimates and to estimate the uncertainty in the selected features.
The proposed method is based on a replica analysis, which is a technique from statistical mechanics that is used to study the properties of disordered systems. The authors show that the replica method can be used to derive an analytical expression for the distribution of the Lasso estimates, which can be used to de-bias the estimates and to estimate the uncertainty in the selected features.
The article presents numerical simulations to demonstrate the effectiveness of the proposed method on synthetic datasets and real-world datasets. The results show that the proposed method can significantly improve the accuracy of the Lasso estimates and provide reliable estimates of the uncertainty in the selected features.
Overall, the article presents a novel approach to improving the performance of the Lasso algorithm, which has important applications in various fields such as economics, biology, and engineering. The statistical mechanics approach proposed by the authors provides a theoretical foundation for the method and offers new insights into the properties of the Lasso algorithm.
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What’s a sentence that uses the word deficit? I’m having trouble thinking of some.
Answer:
We will reduce the federal budget deficit.
Step-by-step explanation:
Help me with the question
Answer:
Step-by-step explanation:
a vector graphic consists of a set of instructions for creating a picture.
Answer:
A vector graphic consists of a set of instructions for creating a picture is a true statement.
Step-by-step explanation:
A vector graphic is an image format that represents images as a set of mathematical instructions or geometric primitives such as lines, curves, and shapes. Instead of using a grid of pixels like raster graphics, vector graphics define images based on mathematical formulas and coordinates.
These instructions or mathematical representations describe the shapes, colors, and other visual attributes of the image. They allow the image to be scaled, resized, and manipulated without loss of quality since the instructions can be recalculated and redrawn at any resolution or size.
Vector graphics are often created and edited using specialized software such as Adobe Illustrator, CorelDRAW, or Inkscape. They are commonly used for logos, illustrations, diagrams, typography, and other graphical elements where scalability and flexibility are important.
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PLEASE HELP!!!
What is the volume of a cone with a radius of 3 and a height of 19?
A. 1083 units 3
B. 39.79 units 3
C. 179.07 units3
D. 537.21 units 3
Answer:
C
Step-by-step explanation:
V=1/3(3.14)(r)^2(h)V=1/3(3.14)(3)^2(19)V=57×3.14v=179.07unit 3The volume of a cone with a radius of 3 and a height of 19 is 179.07 cubic units.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
We have to find the volume of a cone with a radius of 3 and a height of 19.
Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.
r=3 and h=19
We have to find the space in the cone with radius 3 and height 19.
The formula for volume of the cone is V=1/3πr²h
We have to plug in the r and h values in formula.
V=1/3×3.14×(3)²×19
=1/3×3.14×9×19
=536.94/3
=179.07 cubic units
Hence, the volume of a cone with a radius of 3 and a height of 19 is 179.07 cubic units.
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Elizabeth invested $7,800 in an account paying an interest rate of 7\tfrac{1}{8}7 8 1 % compounded monthly. Mason invested $7,800 in an account paying an interest rate of 7\tfrac{3}{8}7 8 3 % compounded continuously. To the nearest dollar, how much money would Elizabeth have in her account when Mason's money has doubled in value?
Answer:
$339
Step-by-step explanation:
Show your work and find the solution to the following system using substitution or elimination:
y = 2x - 1
y = 5x - 7