Given:
Four equations are
\( 7 x + 1 = 7 x+ 1\)
\(3 x + 2 = 3 x-2\)
\(4 x + 1 = 3 x + 8\)
\(-2x-1 = -2 x-1\)
To find:
Without solving which equation has no solution.
Solution:
We know that, in an equation
1. No solution : When variable terms are same but constants are different.
2. Unique solution : When variable terms are different.
3. infinitely many solution : When variable terms and constants are same.
In first and fourth equations, terms on left sides are equal to the terms on the right side. So, LHS = RHS for any value of x.
Therefore, these two equations (first and fourth) have infinitely many solutions.
In second equation, variable terms are same on both sides, but the constants are difference. So, LHS ≠ RHS for any value of x.
Therefore, the second has no solutions.
In third equation, coefficient of x are difference on both sides.
So, this equation has unique solution.
Therefore, Jubal's equations \(3 x + 2 = 3 x-2\) has no solution. Hence, the correct option is B.
Answer:
D
Step-by-step explanation:
2. If the tangent to the circle + + y2 = 25 was drawn at the point (-3,4) then its slope would be
(1)
4
( (3) -
Answer:
Step-by-step explanation:
3/4
If you know please help I’ll give Brainliest
Answer:
-9.3 meters per minute
Step-by-step explanation:
a=−2.3(1)−7
Multiply −2.3 and 1 to get −2.3.
a=−2.3−7
Subtract 7 from −2.3 to get −9.3.
a=−9.3
The diagram shows two campsites on opposite ends of a lake and two triangles formed by intersecting segments from the campsites.
Campsites F and G are on opposite sides of a lake. A survey crew made the measurements shown on the diagram. What is the distance between the two campsites? The diagram is not drawn to scale. The triangles are proportional.
Answer:
x=42.3m
Step-by-step explanation:
x/47=82.8/92
92x=3891.6= 42.3m is the distance
Given that the triangles formed are similar, the distance between the two campsites is: 42.3 m.
What are Similar Triangles?Triangles that are similar to each other always have the same shape but different sizes, and the ratio of their corresponding sides are equal (proportional).
The two triangles formed are similar triangles. Therefore:
47/FG = 82/73.8
Cross multiply
FG = (47 × 73.8)/82
FG = 42.3 m
Therefore, given that the triangles formed are similar, the distance between the two campsites is: 42.3 m.
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8w-8=-4x+16 ,can anyone solve this for me as soon as possible?
The solution for w in terms of x equation is w = -x/2 + 3.
Let's solve the equation :
8w - 8 = -4x + 16
To solve for either variable, start by isolating one of them. Let's isolate w:
8w = -4x + 16 + 8
8w = -4x + 24
Now, divide both sides of the equation by 8 to solve for w:
w = (-4x + 24) / 8
w = -x/2 + 3
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plot e versus r from r=0 to r=2r0 . assume r1=12r0 and e0=e(r=r0)=3rho0r016ϵ0r20 .
We can plot e versus r by following the given steps below:Firstly, let's assume r0 = 1.Now, we can calculate the value of r1 = 12r0 = 12.Now, given e0 = e(r = r0) = 3ρ0r0/(16πε0r20) = 3ρ0/(16πε0r0).
Also, given r is from 0 to 2r0. Therefore, r varies from 0 to 2.Now, we can find the value of e using the formulae, e = e0(r0/r) * exp(-(r - r0)/r1).The above formula is obtained from the following equation of electric field strength with respect to the distance, r:e = e0 * exp(-(r - r0)/r1)Here, e0 is the initial electric field strength, r1 is the decay constant, r is the distance from the source, and e is the electric field strength at distance r from the source.
Now, let's plug in the values of r0, r1, and e0 in the formula for calculating the electric field strength e.e = 3ρ0/(16πε0r0) * exp(-(r - 1)/12)Where, ρ0 is the charge density and ε0 is the permittivity of free space.We can then calculate the value of e for each value of r from 0 to 2. Once we have calculated the values of e for each value of r, we can plot a graph of e versus r.
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A) 10/10
B) 5/5
C) 1/1
D) 2/2
E) 8/8
Answer:
B) 5/5
Step-by-step explanation:
5/10 ÷x = 1/2
Divide the top and bottom by 5/5
5/10 ÷ 5/5 = =1/2
Answer:
D 2/2
Step-by-step explanation:
A boat travels with velocity vector (25, 25 StartRoot 3 EndRoot). What is the directional bearing of the boat? N 30° E E 30° S E 30° N N 30° W
Answer:
The directional bearing of the boat is N 30º E
Step-by-step explanation:
Let \(\vec v = (25, 25\sqrt{3})\), where \(\vec v\) is the vector velocity. Given that such vector is represented in rectangular, a positive value in the first component is the value of the vector in the east direction, whereas a positive value in the second component is in the north direction. The directional bearing of the boat (\(\theta\)), measured in sexagesimal degrees, is determined by trigonometrical means:
\(\theta = \tan^{-1}\frac{v_{y}}{v_{x}}\) (1)
If we know that \(v_{x} = 25\) and \(v_{y} = 25\sqrt{3}\), then the directional bearing of the boat is:
\(\theta = \tan^{-1} \sqrt{3}\)
\(\theta = 60^{\circ}\)
In consequence, we conclude that the direction bearing of the boat is 30 degrees to the East from the North (N 30º E).
Answer:
A) N 30 E
Step-by-step explanation:
Below, a two-way table is given
for student activities.
Sports Drama
7
13
Sophomore 20
Junior
20
Senior
Total
Work
3
2
5
Find the probability the student is in drama,
given that they are a sophorwore.
The probability the student is in drama, given that they are a sophomore is 23%.
What is probability?
Probability is a way of determining how likely something is to happen. Many events are difficult to predict with total certainty. Using it, we can make predictions about the probability of an event happening, or how likely it is.
Total number of students = 20+7+13+20+13+2+25+5+5 = 100
Number of students in sophomore(\(S_{o}\)) = 20+7+3 = 30
Number of drama students(D) who are in sophomore = 7
To calculate the probability the student is in drama, given that they are a sophomore:
P(drama | sophomore) = \(\frac{P(drama \ and \ sophomore)}{P(sophomore)}\) = 23%
Therefore, probability = \(\frac{n(D\cap S_{o} )}{n(S_{o} )} =\frac{7}{30} = 23\%\)
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consider the function y 2x+3. which is true
Answer:
True
Step-by-step explanation:
if you really think about it you can use y for anything an dy is the most replaceable to have so i agree with your think hope it help man
Following are the solution to the given graph equation:
Given:
\(y<2x+3\)
To find:
true points
Solution:
The shade appears below a broken (dashed) line inside the supplied graph equation because the value is less than (<).With shade above, the line will not be smudged.With shade above, the line will not be dashed.With shade below, this line would not be solid.Therefore, the final answer is "None of these".
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simplify the expression: 10h+10h+4h+10h
Answer:
34h
Step-by-step explanation:
Combine like terms.
10h+10h+10h+4h
30h+4h
34h
-hope it helps
Answer:
34h
Step-by-step explanation:
10h+10h+4h+10h
Combine Like Terms:
=10h+10h+4h+10h
=(10h+10h+4h+10h)
=34h
Someone plz help just two questions
Answer:
All of them
Step-by-step explanation:
A and B are parallel. C and D are parallel. R and S are parallel. T and U are parallel.
True or false: For a given sample size n, the chances of a Type I error can only be reduced at the expense of a higher chance of Type II error
Answer:
Yes, it is TRUE
Hope my answer helps you ✌️
Explain the purpose of the hypothesis testing framework? How to interpret significance testing?
The interpretation of significance testing involves comparing the p-value to the significance level. If the p-value is less than the significance level, then the results are statistically significant, meaning that it is unlikely that the observed results occurred by chance alone. On the other hand, if the p-value is greater than the significance level, then the results are not statistically significant, meaning that the observed results could have occurred by chance alone.
The purpose of the hypothesis testing framework is to make inferences about the population using sample data. The hypothesis testing framework involves making a claim or statement about the population (called the null hypothesis), collecting data from a sample, and testing the claim using statistical methods. If the data strongly contradicts the null hypothesis, then it can be rejected in favor of an alternative hypothesis.
The significance level, also known as the alpha level, is a predetermined threshold used to determine if the null hypothesis should be rejected. If the p-value, which represents the probability of observing the sample data or more extreme data under the null hypothesis, is less than the significance level, then the null hypothesis is rejected.
The interpretation of significance testing involves comparing the p-value to the significance level. If the p-value is less than the significance level, then the results are statistically significant, meaning that it is unlikely that the observed results occurred by chance alone. On the other hand, if the p-value is greater than the significance level, then the results are not statistically significant, meaning that the observed results could have occurred by chance alone.
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The hypothesis testing framework is used to determine whether a given hypothesis is statistically significant or not. This is an essential tool for researchers and scientists in various fields, including statistics, economics, psychology, and medicine.
The purpose of the hypothesis testing framework is to assess whether a particular hypothesis is supported by the available evidence. This is done by comparing the observed data to what would be expected if the null hypothesis were true. If the observed data is significantly different from what would be expected under the null hypothesis, then the null hypothesis is rejected. In other words, the hypothesis testing framework is used to determine whether a particular result is due to chance or whether it is statistically significant.Interpretation of significance testing:Interpreting significance testing involves looking at the level of significance (p-value) and determining whether it is significant or not. A p-value is the probability that the observed result could have occurred by chance. If the p-value is less than or equal to 0.05, then the result is considered significant. If the p-value is greater than 0.05, then the result is not significant. This means that there is not enough evidence to reject the null hypothesis.In summary, the hypothesis testing framework is used to assess the statistical significance of a particular hypothesis, while interpreting significance testing involves looking at the p-value and determining whether the result is significant or not.
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the scores on a standardized test have an average of 1200 with a standard deviation of 60. a sample of 50 scores is selected. what is the probability that the sample mean will be between 1195 and 1205? round your answer to three decimal places.
The probability that the sample mean will be between 1195 and 1205 is 0.445
What is a probability distribution?
In mathematics, a probability distribution is a function that expresses the likelihood of many possible values for a variable. Graphs and probability tables are common ways of displaying probability distributions.
Given, mean = \(\mu\) = 1200
standard deviation = \(\sigma\) = 60
n = 50
\(\mu_{\bar x} = 1200\\\sigma_{\bar x} =\sigma / \sqrt(n) = 60/ \sqrt50=8.485\)
\(P(1195 < \bar x < 1205 ) = P[(1195-1200) / 8.485 < (\bar x - \mu\bar x ) / \sigma\bar x < (1205-1200) / 8.485)]\)
= P(-0.59 < Z <0.59 )
= P(Z <0.59 ) - P(Z <-0.59 )
Using the z table, we get
=0.7224-0.2776
=0.4448 = 0.445 ( rounded to 3 decimal places)
Hence, the probability that the sample mean will be between 1195 and 1205 is 0.445
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which of the following is the correct factorial notation for dr. elder’s new study?
Factorial notation is used to represent the product of a series of descending positive integers, and is denoted by an exclamation mark.
For example, 5! represents 5 x 4 x 3 x 2 x 1, which equals 120. If the study involves counting the number of ways a certain group of items can be arranged, factorial notation may be used to express the total number of possible arrangements. However, without knowing the specifics of Dr. Elder's study, it is impossible to provide the correct factorial notation. Therefore, I would recommend providing more details about the study in order to receive a more accurate answer.
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Consider the tennis balls shown in the accompanying figure. Assume that one tennis ball is randomly selected. Determine the probability that the ball selected shows an odd number, given that the ball is yellow 3 ( 4 ) 5 6 orange orange orange yellow yellow green
To determine the probability that the ball selected shows an odd number, given that the ball is yellow, we need to consider the number of favorable outcomes (yellow balls showing odd numbers) and the total number of possible outcomes (yellow balls).
From the given information, we can identify two favorable outcomes: the yellow balls numbered 3 and 5.
Therefore, the probability that the ball selected shows an odd number, given that the ball is yellow, is:
Probability = (Number of favorable outcomes) / (Number of total outcomes)
= 2 / 3
= 2/3 ≈ 0.6667
Probability that the ball selected shows an odd number, given that the ball is yellow, is approximately 0.6667 or 66.67%.
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A laser emits at a wavelength of 432 nm. All of its output energy is absorbed in a
detector that measures a total energy of 1. 60 x 10–16). How many photons are
being emitted by the laser?
Approximately photons are emitted by the laser.
How to find how many photons are being emitted by the laserTo determine the number of photons emitted by the laser, we can use the formula:
Energy of a photon = (Planck's constant * Speed of light) / Wavelength
The energy of a photon can be calculated by dividing the total energy detected by the detector by the number of photons emitted.
Given:
Wavelength = 432 nm = \(432 * 10^{-9} m\)
Total energy detected =\(1.60 * 10^{-16}\)J
First, we calculate the energy of a single photon using the wavelength:
Energy of a photon = \((6.626 * 10^{-34} J s * 3.00 * 10^8 m/s) / (432 * 10^{-9} m)\)
Next, we divide the total energy detected by the energy of a single photon to find the number of photons emitted:
Number of photons = Total energy detected / Energy of a photon
Plugging in the values:
Number of photons = \((1.60 x 10^{-16} J) / [(6.626 x 10^{-34} J s * 3.00 x 10^8 m/s) / (432 x 10^{-9} m)]\)
Simplifying the expression:
Number of photons ≈ \(3.90 * 10^{15}\) photons
Therefore, approximately \(3.90 * 10^{15}\) photons are emitted by the laser.
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which number is equavelent to .45
Answer: ( A )
Step-by-step explanation: basically as the question is what is equivalent to .45 and if you put it like a fraction kinda it will look like this 1\45
Anthony Tedesco sold his used mountain bike and accessories for $210. If he received 5 times as much money for the bike as he did for the accessories, find how much money he received for the bike.
Answer:
He received $45 for the bike
A group of students are watching a documentary that is 58 minutes long. They have already watched 17 minutes of the documentary. How much time is left in the documentary?
Answer:
41 minutes
Step-by-step explanation:
what is 13,000,000,000,000,000,000,000,000 in word form?
Answer:
thirteen septillion.
Step-by-step explanation:
Answer:
Number 13000000000000000000000000 converted to English text. Formatted number: 13 000 000 000 000 000 000 000 000. Cardinal. thirteen septillions.
A little help here thank you!!!
Answer:
∠B = 82°
Step-by-step explanation:
(see attached for reference)
recall the property that an exterior angle of a triangle is equal to the sum of its two remote interior angles.
in our case, the exterior angle is obtuse ∠A = 143°
the two remote interior angles are ∠C and ∠B
hence according to our definition above:
143° = ∠C + ∠B (we are given that ∠C =61°)
hence
143° = 61° + ∠B
143° - 61° = ∠B
∠B = 82°
The circumference of a circle of diameter 10 cm is _____.
A
3.14 cm
B
0.314 cm
C
314 cm
D
31.4 cm
For a circle with a diameter of 10 cm, the circumference would be C = π(10) = 31.4 cm. The correct option is (D) 31.4 cm.
The circumference of a circle can be calculated using the formula C = πd, where C represents the circumference and d represents the diameter of the circle.
We have the diameter of the circle is 10 cm, we can substitute this value into the formula:
C = π * 10 cm
Calculating the circumference using an approximate value of π as 3.14:
C ≈ 3.14 * 10 cm
C ≈ 31.4 cm
Therefore, the circumference of a circle with a diameter of 10 cm is approximately 31.4 cm.
The correct answer is D) 31.4 cm.
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In the triangles, Line segment B C is-congruent-to line segment D E and Line segment A C is-congruent-to line segment F E. Triangles A B C and F D E are shown. The lengths of sides A C and F E are congruent. The lengths of sides B C and D E are congruent. If m Angle C is greater than m Angle E, then Line segment A B is ________ Line segment D F. Congruent to longer than shorter than the same length as
Answer:
Longer than
Step-by-step explanation:
The lengths of sides A C and F E are congruent. The lengths of sides B C and D E are congruent. Therefore:
AC = FE, BC = DE
Also m∠C is greater than m∠E
∠C is the angle opposite to line AB and ∠E is the angle opposite to line DF. Since AC = FE, BC = DE and m∠C is greater than m∠E. The length of a side of a shape is proportional to its opposite angle, since the opposite angle of AB is greater than the opposite angle of DF therefore AB is greater than DF
From the given two triangles under the given conditions of congruency, we can say that;
Line segment AB is longer than Line segment FD.
CongruencyThe image showing both triangles is missing and so i have attached it.
From the attached image, we see that BC is congruent to DE and AC is congruent to FE. Thus, if Angle BCA was congruent to angle DEF, then the it means that both triangles would be congruent as well, because it would satisfied the Side Angle Side (SAS) congruence postulate.Therefore, we can say that line AB and line FD do not have the same length.
Now, we see that angle BCA is larger than angle DEF, and as such we can say that the line segment AB is longer than line segment FD.
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would the sample size be large enough if the population is school-aged children and young adults in the united states? explain in 2-3 sentences.
Yes, the sample size would be large enough if the population is school-aged children and young adults in the United States as this is a simple random sampling.
Simple random sampling is used for randomly selecting the sample size for research. No member in the population has a higher chance in comparison to others for selection in sampling. Every individual has an equal chance to be a part of the sample for the study. This is a type of probability sampling method.
The probability sampling method states that every individual has a fair and equal chance to be selected as a research sample. It includes simple random sampling, stratified sampling, systematic sampling, and cluster sampling. Here the researchers have picked around 150 students and young adults which is an appropriate amount of simple random sample for the study.
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i roll to six sided dice, independently from each other. what is the chance that neither roll is odd?
The probability that neither roll is odd is 1/4.
When a pair of dice are rolled, each die can show an odd or even number, and there are a total of 36 possible outcomes (6 x 6) since each die has six possible outcomes.
There are 18 combinations of two dice that do not include an odd number (even-even), and so the probability of rolling an even number is 18/36 = 1/2.
Each die has the same probability of rolling an even or odd number, and so the probability of rolling an even number twice in a row (neither roll is odd) is
\((1/2)^2\) = 1/4.
Therefore, the probability of rolling a six-sided die twice in a row and not getting an odd number is 1/4 (25%).
Let E be the event of rolling an even number, and N be the event of rolling a number.
We need to find P(N'∩N')
i.e. the probability that the first roll is even and the second roll is even.
P(N') = 3/6P(N'∩N')
= P(N') * P(N')
= 3/6 x 3/6
= 9/36
= 1/4
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The odds in favor of an event are 3 to 4. What is the probability of the event?
37
The probability from the odds is 3/7
How to determine the probability?The value of the odds is given as
Odds = 3 to 4
Represent the odds as a fraction
So, we have the following representation
Odds = 3/4
To convert the odds to probability, we make use of the following equation
Probability = Odds/(1 + Odds)
Substitute the known values in the above equation, so, we have the following representation
Probability = (3/4)/(3/4 + 1)
Evaluate the sum
Probability = (3/4)/(7/4)
Evaluate the quotient
Probability = 3/7
Hence, the probability is 3/7
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Suppose M is the midpoint of segment CD, CM = 5x-12 and MD = 2x + 9. What is x?
Answer:
x=7
Explanation:
If M is the midpoint of segment CD, it means M divides CD into two equal parts (CM and MD). Therefore:
CM=MD
5x-12=2x+9
5x-2x=9+12
3x=21
x=21/3
x=7
The value of x is 7.
the sum of the first 5 terms of an arithmetic series is $70$. the sum of the first 10 terms of this arithmetic series is $210$. what is the first term of the series?
Therefore ,as a result, 42/5 is the value of the first term in the equation for the arithmetic mean.
What does arithmetic mean?The arithmetic average or means of the group is calculated as the sum of each value in a list divided by the total number of things in that list. The progression in mathematics is the same as this. The average of the integers 5, 7, and 9 is 4, as shown by the equation 5 + 7 + 9 being equal to 21, and 21 divided by 3 (there are actually three numbers) being equal to 7.
Here,
Given :
5 a + 10 d = 70 in the first five terms (1)
The first ten terms add up to 10 a + 45 d = 210. (2)
This means that in order to solve the system for a, multiply equation (1) by 2, then subtract it from equation (2):
=> 10a - 10a + 45d - 20d = 210-140
=> 25d = 70
=> d = 70/25
=> d = 14/5
A value then becomes:
5a + 10*14/5 = 70;
5a = 70-140/5;
5a = 350-140/5;
a = 42/5.
42/5 is the response.
As a result, 42/5 is the value of the first term in the equation for the arithmetic mean.
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The reflexive property makes triangle XYW congruent or equal to ZWY by
a SAS
b ASA
c AAS
d SSS
Answer: D: SSS Congruency
Step-by-step explanation:
- SSS congruency stands for side-side-side congruency
- if the 3 side lengths are equal for both triangles they are equivalent
- the reflexive property states that an angle, line segment, or shape is always congruent to itself
- so the reflexive property is just saying that WY = YW, therefore creating 3 equal sides for both triangles
- so the triangles are congruent by SSS
hope this helps :)