Through the inventions of people throughout history, our everyday life has been revolutionized. For example, the lightbulb by Thomas Edison has made our lives easier because we no longer need to use candles as a main light source. Thomas Edison also invent the phonograph, which was one of the earliest inventions that revolutionized entertain in our modern time.
Step-by-step explanation:
Perimeter of a rectangular sheet is 200m if the length is 35 cm find the breadth also find its area find the breadth of a rectangular plot of land if its area is 440 m² and the length is 22m² also find its perimeter
PLEASE HELP!!!!!! Write and solve the inequality.
Six more than the quotient of a number b and 30 is greater than 4.
Fill in the boxes.
+6V 4
30
-2
30
b
Answer:
\(\orange{ \rule{40pt}{555555pt}}\)
All else being equal, the further the t statistic falls from 0, either in the positive or negative direction, the more likely it is that the difference between two population averages is statistically significant.
a. Trure
b. False
The mentioned statement about the distance of t statistic stating that the difference between two population averages is statistically significant is true.
Statistical significance refers to analysis that the obtained data occurs by reason and logic. It confirms that stated fact won't occur by chance, which if happens, will decrease the value of hypothesis.
Statistical hypothesis testing generates p-value which is used for determination. Generally speaking, the p-value with the measure 5% or lower is assumed to be statistically significant.
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tially 960m apart and are approaching each other at speeds of 50 m/s and 30 m/s relative to the road. Car B honks its horn, sending a packet of sound traveling at 340 m/s relative to the road towards Car A. The sound wave will bounce off either car and instantaneously keep traveling at 340 m/s relative to the road forwards or backwards at all times. (Note: Many parts of this problem do not require the previous part's solution to solve it) a) (4 points) Find
v
AB
b) (5 points) How long after the horn is sounded until the two cars have collided? c) (4 points) How far will the sound wave have travelled (distance) in that time? d) (7 points) What is Δ
s
Sound
, the displacement of the sound during that time?
Given data ; Initial distance between cars, d = 960m Speed of Car A, vA = 50 m/sSpeed of Car B, vB = 30 m/sSpeed of sound, vS = 340 m/s
Let's solve the parts given in the question;
a) Find vAB; Relative speed, \(vAB = vA + vBvAB = 50 m/s + 30 m/svAB = 80 m/s\)
b)Let t be the time until the two cars collide.In time t, the distance traveled by Car A = vA0t
The distance traveled by Car B = vBt
The total distance covered by both cars is d:
Therefore, \(vAt + vBt = dd/t = (vA + vB)t = 960 mt = d / (vA + vB)t = 960 / 80t = 12 s\)
Let ΔsSound be the displacement of the sound during that time.
Distance traveled by Car \(A = vA x t = 50 m/s x 12 s = 600 mDistance traveled by Car B = vB x t = 30 m/s x 12 s = 360 m\)
Therefore, the distance between the cars will be \(960 - (600 + 360) = 0 m.\) So, the sound wave will have traveled the displacement of 4080 m from Car B to Car A.
Hence, ΔsSound = 4080 m.
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Use the information to answer the question.
The graph shows the relationship between the number of pounds of
potatoes purchased and the total cost of the potatoes.
What is the cost of 1 pound of potatoes? Enter the answer in the
box,
5
Total Cost (5)
0
Answer:
$2.25 per pound
Step-by-step explanation:
Graph attached shows the relation between the weight of the potatoes and cost of potatoes purchased.
Cost of 1 pound of potatoes will be represented by the slope of the given line.
Since slope of a line passing through two points \((x_1,y_1)\) and \((x_2,y_2)\) is given by the formula,
Slope = \(\frac{y_2-y_1}{x_2-x_1}\)
Therefore, slope of the line passing through (0, 0) and (2, 4.5) will be,
Slope = \(\frac{4.5}{2}\)
= 2.25
Therefore, cost of potatoes is $2.25 per pound.
Find values of m so that the function y xm is a solution of the given differential equation. x^2y''-7xy' 15y=0
If \(y=x^m\) is a solution to the ODE
\(x^2 y'' - 7xy' + 15y = 0\)
then substituting \(y\) and its derivatives
\(y' = mx^{m-1} \text{ and } y'' = m(m-1)x^{m-2}\)
gives
\(m(m-1)x^2x^{m-2} - 7mxx^{m-1} + 15x^m = 0\)
\(m(m-1)x^{m} - 7mx^{m} + 15x^m = 0\)
\((m(m-1) - 7m + 15)x^{m} = 0\)
We ignore the trivial case of \(y=x^m=0\). Solve for \(m\).
\(m(m-1) - 7m + 15 = 0\)
\(m^2 - 8m + 15 = 0\)
\((m - 3) (m - 5) = 0\)
\(\implies \boxed{m=3} \text{ or } \boxed{m=5}\)
The point where the graphs of two equations intersect has y-coordinate 2. One equation is y=3x+5. Find the other equation if its graph has a slope of 1.
y = x + 2 is the other equation if its graph has a slope of 1.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
If the y-coordinate of the intersection point of the two equations is 2, and one of the equations is y = 3x + 5,
The other equation must be of the form y = mx + b, where m is the slope of the line and b is the y-intercept.
m=1 is the slope of the other equation.
y = mx + b
2 = 1x + b
b = 2 - 1x
b = 2 - x
So the other equation is y = x + 2.
Hence, y = x + 2 is the other equation if its graph has a slope of 1.
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TRUE OR FALSE In simple regression analysis the error terms are assumed to be independent and normally distributed with zero mean and constant variance.
y=-2x+2 y=-2x-5 y=3/2x+5 label them to the correct ones
Answer:
y=-2x+2: second graph
y=-2x-5: third graph
y= 3/2x+5: first graph
Step-by-step explanation:
we can just look at the y intercept since each equation has different ones
The graphs are left to right so I’ll call it by 1st graph 2nd graph and last graph
y=mx+b is slope intercept formula where big y intercept
The first equation b or the y intercept is 2 and the only graph where the Line intersects with the y axis at 2 is the second one
The second equation has a y intercept of -5 so the last graph is the only one that line intersects with the y axis at -5
the last equation has a y intercept of 5 so the first graph is the only one where the line intersects with 5
Hopes this helps please mark brainliest
a certain shop repairs both audio and video components. let a denote the event that the next component brought in for repair is an audio component, and let b be the event that the next component is a compact disc player (so the event b is contained in a). suppose that p(a) 5 .6 and p(b) 5 .05. what is p(bua)?
The probability that the next component brought in for repair is a compact disc player given that it is already known to be an audio component is 0.83 or 83%.
Probability is a fundamental concept in mathematics, statistics, and various fields of science. It is used to measure the likelihood of an event occurring
In the given scenario, we are told that a certain shop repairs both audio and video components. Let A denote the event that the next component brought in for repair is an audio component, and let B be the event that the next component is a compact disc player. We are also given that P(A) = 0.6 and P(B) = 0.5.
The probability of B given A, denoted by P(B|A), represents the probability that event B will occur given that event A has already occurred. In other words, it tells us how likely it is that the next component brought in for repair is a compact disc player given that it is already known to be an audio component.
To calculate P(B|A), we use the formula for conditional probability:
P(B|A) = P(A and B) / P(A)
Here, P(A and B) denotes the probability that both events A and B occur. We know that event B is contained in event A, so it follows that P(A and B) = P(B). Therefore:
P(B|A) = P(B) / P(A)
Substituting the given values, we have:
P(B|A) = 0.5 / 0.6
P(B|A) = 5/6 or 0.83 (rounded to two decimal places)
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Complete Question:
A certain shop repairs both audio and video components. Let A denote the event that the next component brought in for repair is an audio component, and let B be the event that the next component is a compact disc player (so the event B is contained in A). Suppose that P(A) = .6and P(B) = .5. What is P(B|A) ?
Is the product of two irrational numbers always an irrational number ? Explain.
A. No, an irrational square root multiplied by itself will produce a rational result.
B. Yes, the product of two irrational numbers is always an irrational number just as the product of two rational numbers is always a rational number.
C. No, an example is square root of 144 X the square root of 64, which is a rational number.
Answer:
A. No, an irrational square root multiplied by itself will produce a rational result.
Step-by-step explanation:
sqrt(2) is irrational
sqrt(2) * sqrt(2) = sqrt(4) = 2
Answer:
The correct answer is "No, she is incorrect because 4 is a rational number and square root 2 is an irrational number."
Step-by-step explanation:
The results for a test given by a certain instructor not in the School of Sciences by grade and gender follow. Find the probability that a randomly selected student was male given that the student earned a grade of 'C'.
The probability that a randomly selected student was male, given that the student earned a grade of 'C', is approximately 0.0227 or 2.27%.
Given the test results for a certain instructor, where the grades and genders of the students are provided, we can calculate the probability of a randomly selected student being male, given that the student earned a grade of 'C'.
From the given data, we can observe that out of the total 1764 students, there were 40 males who earned a 'C' grade. Additionally, the total number of students who earned a 'C' grade is 1764. Therefore, we can calculate the probability as follows:
Probability (Male|C) = Number of males who earned a 'C' / Total number of students who earned a 'C'
= 40 / 1764
≈ 0.0227
Hence, the probability that a randomly selected student was male, given that the student earned a grade of 'C', is approximately 0.0227 or 2.27%.
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The results for a test given by a certain instructor not in the School of Sciences by grade and gender follow A B C Total Male 19 7 14 40 Female 5 6 324 Total 34 13 1764 Find the probability that a randomly selected student was male given that the student earned a grade of C Preview
Chanel pays 7% sales tax on a boat that costs 5,600 dollars. How much does the sales tax add to the purchase price?
The amount that the sales tax add to the purchase price is $5992.
Sales priceUsing this formula
Sales price=Purchase price-(Purchase price×Sales tax)
Where:
Purchase price=$5600
Sales tax=7%
Let plug in the formula
Sales price=$5600+($5600×7%)
Sales price=$5600+$392
Sales price=$5992
Inconclusion the amount that the sales tax add to the purchase price is $5992.
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represent y ≥ 5 on the number line
Answer:
it is 5 on the right and a filled in circle
Answer:
{Hello Kirito here! Agian i would need a pic of the number line..}
Step-by-step explanation:
I need help on this question. I tried finding the answer through my own thinking and the Internet, but I still couldn't get it.
Answer:
your answer is 3x2+10x−7
Step-by-step explanation:
Can someone help me which answer choice do I choose?
The water level of a river was measured each day during a two-week period. The graph models the linear relationship between the water level of the river in feet and the number of days the water level was measured. Which statement best describes the y-intercept of the graph?
Answer:
c
Step-by-step explanation:
The y-intercept of a graph is the point where the graph touches the y-axis.
The best describes the y-intercept of the graph is (a) the initial water level of the river is 16 ft
From the attached graph, we observe that the graph crosses the y-axis at y = 16
This value represents the initial value of the graph.
In other words, the initial water level of the river
So, the y-intercept means that:
The initial water level of the river is 16 ft
Hence, the true statement is (a)
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Let X and Y, with respective pmfs f(x) and g(y), be independent discrete random variables, each of whose support is a subset of the nonnegative integers 0, 1, 2, ... . Show that the pmf of W = X+Y is given by convolution formula
h(w)=\sum_{x=0}^{w}f(x)g(w-x), w=0, 1, 2, ...
HINT: Argue that h(w)=P(W=w) is the probability of the w+1 mutually exlcusive events (x,y = w-x), x= 0, 1, 2, ..., w.
To show that the pmf of W = X + Y is given by the convolution formula h(w) = ∑f(x)g(w-x) for w = 0, 1, 2, ..., let's follow these steps:
Step 1: Express the probability of W = w.
We need to find the probability of W = w, which can be written as P(W = w) = h(w).
Step 2: Recognize the mutually exclusive events.
As hinted, there are w+1 mutually exclusive events corresponding to (x, y) pairs, where x = 0, 1, 2, ..., w and y = w - x. Since X and Y are independent, the probability of each pair is the product of their individual probabilities: P(X = x) * P(Y = w - x).
Step 3: Use the independence of X and Y.
Since X and Y are independent, we can use their respective pmfs, f(x) for X and g(y) for Y. Thus, the probability of each pair becomes f(x) * g(w - x).
Step 4: Sum over all mutually exclusive events.
Now, we sum the probabilities of all these mutually exclusive events to get the probability of W = w:
h(w) = ∑f(x)g(w-x) for x = 0, 1, 2, ..., w.
So, the pmf of W = X + Y is given by the convolution formula h(w) = ∑f(x)g(w-x) for w = 0, 1, 2, ....
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To show that the pmf of W = X+Y is given by the convolution formula h(w)=\sum_{x=0}^{w}f(x)g(w-x), w=0, 1, 2, ... , we will follow these steps:
Step 1: We want to find the probability h(w) = P(W = w), where W = X + Y.
Step 2: Rewrite h(w) in terms of X and Y probabilities.
h(w) = P(X + Y = w)
Step 3: Apply the independence property of X and Y. Since X and Y are independent, we know that the joint probability mass function (pmf) is the product of their individual pmfs: P(X=x, Y=y) = f(x)g(y).
h(w) = \sum_{x=0}^{w} P(X=x, Y=w-x)
Step 4: Sum over all possible values of X that satisfy the condition.
h(w) = \sum_{x=0}^{w} f(x)g(w-x)
So, the pmf of W = X+Y is given by the convolution formula h(w)=\sum_{x=0}^{w}f(x)g(w-x), w=0, 1, 2, ...
Explanation: What is Probability: Probability is a branch of mathematics in which the chances of experiments occurring are calculated. It is by means of a probability, for example, that we can know from the chance of getting heads or tails in the launch of a coin to the chance of error in research.To understand this branch, it is extremely important to know its most basic definitions, such as the formula for calculating probabilities. Express the probability of the desired event: h(w) = P(W = w), Rewrite h(w) in terms of X and Y probabilities, Apply the independence property of X and Y, Sum over all possible values of X that satisfy the condition.
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A manufacturer of a traditional medicine claims that the medicine is 90% effective in relieving backache for a period of eight hours. In a sample of 200 people who have backache, the medicine provided relief for 160 people. Test the manufacturer's claim at 1% significance level
The critical value of 2.576. If |z| > 2.576, reject the null hypothesis; otherwise, fail to reject the null hypothesis.
To test the manufacturer's claim at a 1% significance level, we need to perform a hypothesis test. Let's define the null and alternative hypotheses:
Null hypothesis (H₀): The medicine is 90% effective in relieving backache.
H₀: p = 0.9
Alternative hypothesis (H₁): The medicine is not 90% effective in relieving backache.
H₁: p ≠ 0.9
Where p represents the true proportion of people who experience relief from backache after taking the medicine.
To conduct the hypothesis test, we will use the sample proportion and perform a z-test.
Calculate the sample proportion:
p = x/n
where x is the number of people who experienced relief (160) and n is the sample size (200).
p= 160/200 = 0.8
Calculate the standard error:
SE = √(p(1 - p)/n)
SE = √((0.8 * (1 - 0.8))/200)
Calculate the test statistic (z-score):
z = (p - p₀) / SE
where p₀ is the hypothesized proportion (0.9 in this case).
z = (0.8 - 0.9) / SE
Determine the critical value for a two-tailed test at a 1% significance level.
Since we have a two-tailed test at a 1% significance level, the critical value will be z* = ±2.576 (obtained from a standard normal distribution table or calculator).
Compare the absolute value of the test statistic to the critical value to make a decision:
If the absolute value of the test statistic is greater than the critical value (|z| > z*), we reject the null hypothesis.
If the absolute value of the test statistic is less than or equal to the critical value (|z| ≤ z*), we fail to reject the null hypothesis.
Substituting the values into the equation, we can determine the test statistic and compare it to the critical value.
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The owner of the Good Deals Store opens a new store across town. For the new store, the owner estimates that, during business hours, an average of 90 shoppers
The correct option is (A) 60 as the estimated average number of shoppers in the original store at any time is 45.
What is an average?In layman's terms, an average is a single number chosen to represent a set of numbers, usually the sum of the numbers divided by the number of numbers in the set. The average of the numbers 2, 3, 4, 7, and 9 is 5, for example.To find the estimated average number of shoppers in the original store at any time:
In the new store, the manager estimates that an average of 90 shoppers per hour enter the store, which is equivalent to 1.5 shoppers per minute. The manager also estimates that each shopper stays in the store for an average of 12 minutes. Thus, by Little’s law, there are, on average, N=rt = (1.5)(12) = 18 shoppers in the new store at any time. This is (45-18)/45 × 100 = 60 percent less than the average number of shoppers in the original store at any time.Therefore, the correct option is (A) 60 as the estimated average number of shoppers in the original store at any time is 45.
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The complete question is given below:
The owner of the Good Deals Store opens a new store across town. For the new store, the owner estimates that, during business hours, an average of 90 shoppers per hour enter the store and each of them stays an average of 12 minutes. The average number of shoppers in the new store at any time is what percent less than the average number of shoppers in the original store at any time?
(A) 60
(B) 70
(C) 80
(D) 50
Assassins on a rate of 29.6 ft./s if a building is 1450 feet tall how long would it take for an elevator to travel from the ground floor to the roof
Answer:
1450/29.6 = 49 seconds
Step-by-step explanation:
have a good day but please give me a brainliest
Graph the linear inequality shown below on the provided graph. y>-3x+8
On graphing the inequality , a dotted line and the shaded area is seen which means all the values above that line is included.
What is a Linear Inequality ?When two algebraic expressions are equated using inequality operators < ,> etc , the statement formed is called Linear Inequality.
The inequality given is
y > - 3x+8
On graphing the inequality , a dotted line and the shaded area is seen which means all the values above that line is included.
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Find the distance between the two points rounding to the nearest tenth (if necessary).
(-7, -1) and (-4,3)
Answer:
poit 1 5 q
Step-by-step explanation:
Valeria drew a logo for her new business on a coordinate plane, as show .If she reflects the logo over line y=1 and then translates the logo 3 units down, which of the following statements is true ?
There are four types of rigid motions that we will consider: translation, rotation, reflection, and glide reflection
53(2x−6)+18=23(x+3)−4
Answer: X=365/83 OR x= 4.39
Step-by-step explanation:
RIGHT TRIANGLE GEOMETRY, WILL GIVE BRAINLIEST!
what is the value of x?
Find the coordinates of the midpoint given endpoints:
Q(-3, 14) and R (7,5)
2. How do you find P(A or B) if A and B are independent events for one action, such as spinning a four-color spinner once and finding P(red or blue)?
Answer:
P(red or blue) = \(\frac{7}{16}\).
Step-by-step explanation:
We have to find P(A or B), if A and B are independent events for one action, such as spinning a four-color spinner once.
Firstly, as we know that the formula for finding P(A or B) is given by;
P(A or B) = P(A) + P(B) - P(A and B)
Since it is stated that event A and B are independent, this means that there is no dependence of any one event on another event, so;
P(A and B) = P(A) \(\times\) P(B)
Now, we can find P(A or B) = P(A) + P(B) - P(A) \(\times\) P(B); is we know that the probabilities of happening of both events.
Similarly, P(red or blue) = P(red) + P(blue) - P(red) \(\times\) P(blue).
Since the event is spinning a four-color spinner once and assuming there are four different colors, so the probability of wheel stopping on each color is (\(\frac{1}{4}\)).
So, P(red or blue) = \(\frac{1}{4} +\frac{1}{4} -(\frac{1}{4} \times \frac{1}{4} )\)
= \(\frac{2}{4} -\frac{1}{16}\) = \(\frac{7}{16}\).
On a town map, each unit of the coordinate plane represents 1 mile. Three branches of a
bank are located at A(-3, 1) B(2, 3), and C (4, -1) . A bank employee drives from
Branch A to Branch B and then drives halfway to Branch C before getting stuck in
traffic.
What is the minimum total distance the employee may have driven before getting stuck
in traffic? Round to the nearest tenth of a mile.
Answer:
\(\sqrt{29} +\sqrt{5}\) = 7.6 miles
Step-by-step explanation:
\(\sqrt{(2+3^2)+(3-2)^2} +(\frac{\sqrt{(4-2)^2+(-1-3)^2} }{2} )\)
\(\sqrt{29} +\frac{2\sqrt{5} }{2}\)
\(\sqrt{29} + \sqrt{5}\)
equals 7.6 (rounded to nearest tenth)
3/8 divided by 3/4 in fractions
The result of the division of fractions 3/8 by 3/4 is 1/2.
What is a fraction?It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the brings together various.
Given the fraction, 3/8 divided by 3/4
(3/8) / (3/4)
If a fraction is in the denominator of a fraction then it can be expressed as multiplication in inverse.
For example,
(a/b) / (c/d) = (a/b) × (d/c)
Similarly,
(3/8) / (3/4) = (3/8) × (4/3)
⇒ (3×4)/(8×3)
⇒ 12 / 24
⇒ 12(1)/12(2)
⇒ 1/2
Hence "The result of the division of fractions 3/8 by 3/4 is 1/2".
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the perimeter of a rectangle is 61 centimeters. The length is 4.1 centimeters longer then the width, w . Write and solve an equation to find the width of the rectangle