The speed of the star as compared to the speed of the star relative to earth is the frequency of light emitted by the source.
A star moving away from the observer (say on Earth) will have its emitted light red-shifted (move to lower frequency), i.e., the spectrum moving to left if we consider the intensity of light is plotted as a function of frequency with the frequency increasing from left to right.
A star moving towards the observer (say on Earth) will have its emitted light blue-shifted (move to higher frequency), i.e., the spectrum moving to the right if we consider the intensity of light is plotted as a function of frequency with the frequency increasing from left to right.
A star moving perpendicular to the observer (say on Earth) will have its emitted light will no change with respect to the spectrum of the stationary star.
These are due to the Doppler effect, the equation of frequency detected by the observer as
\(f_o = f_s\sqrt{\frac{1-\beta }{1+\beta } }\) where \(\beta = \frac{v}{c}\), v the relative velocity of the moving source (the star here), f^s is the frequency of light emitted by the source.
Hence the answer is the speed of the star as compared to the speed of the star relative to earth is the frequency of light emitted by the source.
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for a standard normal distribution, find: p(-1.62 < z < 2.01)
The probability of the interval -1.62 < z < 2.01 in a standard normal distribution is approximately 0.9262 or 92.62%.
In a standard normal distribution, the mean is 0 and the standard deviation is 1. The z-score represents the number of standard deviations a data point is from the mean. To find the probability of a specific interval, we calculate the area under the curve between the corresponding z-values.
Given the interval -1.62 < z < 2.01, we need to find the area under the standard normal curve between these two z-values. This can be done using a standard normal distribution table or by using a statistical software or calculator.
By looking up the z-values in the table or using software, we find the corresponding probabilities: P(z < -1.62) = 0.0526 and P(z < 2.01) = 0.9788.
To find the probability of the interval -1.62 < z < 2.01, we subtract the probability of the lower bound from the probability of the upper bound: P(-1.62 < z < 2.01) = P(z < 2.01) - P(z < -1.62 = 0.9788 - 0.0526 = 0.9262.
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during his nba career, larry bird made approximately 89% of all free throws. suppose larry makes 10 free throws in a row. what is the probability he will make the next free throw?
Probability that he will make the next free throw is 0.89% if larry bird made approximately 89% of all free throws during his nba career.
During nba career he made approximate 89% of all free throws.
To calculate the probability of the next 10 free throws given which will be
= No. of possible outcome / Total no. of outcome
= 89 / 100
= 0.89 %
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcome like how likely they are.
P(A) = (# of ways A can happen) / (Total number of outcomes)
which means that Probability that he will make the next free throw is 0.89 %
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ten days after it was launched toward mars in december 1998, the mars cli- mate orbiter spacecraft (mass 629 kg) was 2.87 x 106km from the earth and traveling at 1.20 x 104km/h relative to the earth
The kinetic energy of the Mars Climate Orbiter spacecraft is approx 3.31 x 10^7 joules.
To determine the kinetic energy of the Mars Climate Orbiter spacecraft, we can use the formula:
Kinetic energy = (1/2) * mass * velocity^2
Given:
Mass of the spacecraft (m) = 629 kg
Velocity of the spacecraft (v) = 1.20 x 10^4 km/h
First, we need to convert the velocity from km/h to m/s:
1 km = 1000 m
1 h = 3600 s
Velocity in m/s = (1.20 x 10^4 km/h) * (1000 m/km) / (3600 s/h) ≈ 333.33 m/s
Now, we can calculate the kinetic energy:
Kinetic energy = (1/2) * (629 kg) * (333.33 m/s)^2
Kinetic energy ≈ 3.31 x 10^7 joules
Therefore, the kinetic energy of the Mars Climate Orbiter spacecraft is approximately 3.31 x 10^7 joules.
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A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form for the cost, C, after h hours of service. What will be the total cost for 8 hours of work? 10 hours of work? On a graph
The equation in slope intercept form is C(h) = 50h+25 ,the total cost for 8 hours of work is $425 , and for 10 hours of work is $525.
In the question;
it is given that
the fixed charge of plumber = $25
charge for per hour of service = $50
the hours of service be "h"
and the total cost be "C"
according to the question
C(h) = 50h+25
the equation in the slope intercept form is C(h) = 50h+25
to find the total cost for 8 hours of work , put h=8
C(8) = 50(8) + 25
= 400+25
= 425
to find the total cost for 10 hours of work , put h=10
C(10) = 50(10) + 25
= 500+25
= 525
Therefore , total cost for 8 hours of work is $425 , and for 10 hours of work is $525 .
The given question is incomplete , the complete question is
A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form for the cost, C, after h hours of service. What will be the total cost for 8 hours of work? 10 hours of work?
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For the binomial distribution, which formula finds the standard deviation? Choose the correct answer below:
a. np
b. npq
c. √np
d. √npq
Answer: D
Step-by-step explanation:
Given a binomial distribution, the standard deviation can be found by the equation
√\(npq\)
where n = number of trials, p = chance of success, and q = chance of failure (or 1 - p).
How do you find a prime number multiples?
A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers. A prime number can only be divided evenly by 1 and itself.
To find the multiples of a prime number, you can use the following steps:
Start with the prime number itself. This is the first multiple of the prime number.Multiply the prime number by 2. This will give you the second multiple of the prime number.Multiply the prime number by 3. This will give you the third multiple of the prime number.Repeat step 3 for larger and larger integers (4,5,6,7,8....) until you reach the desired number of multiples.For example, if the prime number is 5, the multiples of 5 are 5, 10, 15, 20, 25, and so on.
It's important to note that a prime number only has two divisors: 1 and itself. This means that a multiple of a prime number will never be a prime number.
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A woman earns 150000 per annum. she is allowed a tax free pay of 45000. she pays 25 cent per euro as tax on her taxable income. How much has she left
The woman has €123,750 left after paying taxes.
To calculate how much the woman has left after paying taxes, we need to determine her taxable income and then subtract the tax amount.
The woman earns €150,000 per annum and is allowed a tax-free pay of €45,000. This means that her taxable income is the difference between her total income and the tax-free allowance:
Taxable Income = Total Income - Tax-Free Pay
= €150,000 - €45,000
= €105,000
Next, we need to calculate the tax amount based on the taxable income. The woman pays 25 cents per euro as tax on her taxable income, which can be expressed as a tax rate of 25%.
Tax Amount = Tax Rate * Taxable Income
= 0.25 * €105,000
= €26,250
Finally, we can determine the amount the woman has left after paying taxes by subtracting the tax amount from her total income:
Amount Left = Total Income - Tax Amount
= €150,000 - €26,250
= €123,750
Therefore, the woman has €123,750 left after paying taxes.
It is important to note that tax calculations can vary depending on the specific tax laws and regulations in a particular jurisdiction. The above calculation assumes a tax rate of 25% and does not take into account any additional deductions or credits that may apply.
It is always advisable to consult with a tax professional or refer to the tax laws in the relevant jurisdiction for accurate and up-to-date information regarding tax calculations.
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pla shop mathematics
The number of trees more than 10m tall but not more than 20m tall is 18 trees.
How many of the trees are more than 10m tall but not more than 20m tall?0 < h ≤ 5 = 5
height greater than 0m less than or equal to 5m
5 < h ≤ 10 = 9
height greater than 5m less than or equal to 10m
10 < h ≤ 15 = 13
height greater than 10m less than or equal to 15m
15 < h ≤ 20 = 5
height greater than 15m less than or equal to 20m
20 < h ≤ 25 = 1
height greater than 20m less than or equal to 25m
The number of trees that are more than 10m tall but not more than 20m tall are;
10 < h ≤ 15 = 13
15 < h ≤ 20 = 5
So,
13 + 5 = 18 trees
Therefore, the total number of trees which are 10m tall but not more than 20m tall is 18 trees.
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This is so stressful, i’ve tried everything and I don’t get this at all.
Which number is a solution of the inequality?
8 < x (7-x)
2
8
-1
0
PLEASE HELP!!
Answer: The answer is 8
Step-by-step explanation:
Can anyone help me please I have 15minutes only
When converting the equation of a line
into Standard Form, which of the
following is an important "rule" to
remember?
Ax + By = C
Answer:
Step-by-step explanation:
In the standard form Ax + By = C, the A can only be any positive integer and B and C can be any integer.
I need help ASAP :) thank you!
Answer:
x=2, y=0
Step-by-step explanation:
1. Prove that there are infinitely many primes of the form 4k + 3, where k is a non-negative integer. [Hint: Suppose that there are only finitely many such primes q1, q2, . . . , qn, and consider the number 4q1q2 · · · qn − 1.]
2. Use the extended Euclidean algorithm to express gcd(144, 89) as a linear combination of 144 and
89.What is the inverse of 89 mod 144? What is the inverse of 144 mod 89?
3. Prove that the product of any three consecutive integers is divisible by 6.
To prove that there are infinitely many primes of the form 4k + 3, assume the contrary and suppose there are only finitely many primes of that form.
By considering the number 4q1q2 · · · qn − 1, where q1, q2, . . . , qn are all the primes of the form 4k + 3, we can arrive at a contradiction, thus proving the infinitude of such primes.
Using the extended Euclidean algorithm, we can express gcd(144, 89) as a linear combination of 144 and 89. The algorithm proceeds by performing successive divisions until the remainder becomes zero. The last non-zero remainder obtained, which is the greatest common divisor (gcd), can be expressed as a linear combination of the original numbers.
To find the inverse of 89 mod 144, we can use the extended Euclidean algorithm to express gcd(89, 144) as a linear combination of 89 and 144. The coefficient of 89 in this linear combination will be the inverse of 89 mod 144. Similarly, to find the inverse of 144 mod 89, we express gcd(144, 89) as a linear combination of 144 and 89, and the coefficient of 144 in this linear combination will be the inverse of 144 mod 89.
To prove that the product of any three consecutive integers is divisible by 6, we consider the possible remainders when dividing an integer by 6. Every integer can be classified into one of three categories: those leaving a remainder of 0, 1, or 2 when divided by 3. Among any three consecutive integers, there will always be at least one multiple of 2 and one multiple of 3. Therefore, the product of these three consecutive integers will be divisible by both 2 and 3, and hence divisible by 6.
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While checking for linearity by examining the residual plot, the residuals must: A) exhibit a linear trend. ba B) form a parabolic shape. C) be randomly scattered. D) be below the X-axis
While checking for linearity by examining the residual plot, the residuals should be randomly scattered. This means that option C) "be randomly scattered" is the correct answer.
Residuals are the differences between the observed values and the predicted values from a regression model. They represent the unexplained variability in the data. When examining the residual plot to assess linearity, we are looking for patterns or systematic trends that may indicate a departure from linearity. If the residuals exhibit a linear trend (option A), it suggests that the relationship between the predictors and the response variable is not adequately captured by the linear regression model. This indicates a violation of the linearity assumption.
Similarly, if the residuals form a parabolic shape (option B), it suggests the presence of a nonlinear relationship between the predictors and the response. This also violates the linearity assumption.
The correct behavior in a linear regression analysis is for the residuals to be randomly scattered (option C). This indicates that the model captures the linear relationship between the variables, and the unexplained variability is distributed evenly around the zero line. Randomly scattered residuals indicate that the linearity assumption holds, and the model is appropriate for the data. Lastly, being below the X-axis (option D) does not directly indicate linearity. The direction of the residuals (positive or negative) is not the primary concern when assessing linearity, but rather the presence of any systematic patterns. Therefore, when examining the residual plot to check for linearity, the key characteristic we are looking for is random scattering of the residuals.
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question jordan wondered if the bean burritos at restaurant a tend to be heavier than bean burritos at restaurant b. to investigate, she visited each restaurant at 10 randomly selected times, ordered a bean burrito, and weighed the burrito. the 95% confidence interval for the difference (a - b) in the mean weight of the burrito is 0.06 ounce 0.20 ounce. based on the confidence interval, which conclusion is most appropriate?
The conclusion of question as discuss below.
Define the term mean?The mean is a measure of central tendency that represents the average value of a set of numbers. It is calculated by adding up all the values in the set and then dividing by the total number of values.
Based on the given information, we can say that there is a 95% chance that the true difference (a - b) in the mean weight of the bean burritos between Restaurant A and Restaurant B falls within the interval 0.06 ounce to 0.20 ounce.
Since the confidence interval does not include zero, we can conclude that there is a statistically significant difference between the mean weights of the bean burritos at the two restaurants. Specifically, we can say that the mean weight of the bean burritos at Restaurant A is likely to be heavier than the mean weight of the bean burritos at Restaurant B.
However, it's important to note that we cannot determine the magnitude of the difference or the direction of causation (i.e., whether Restaurant A intentionally makes their burritos heavier or whether they use different ingredients that naturally result in heavier burritos).
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We can infer that there is a statistically significant difference among the mean weights of the bean burritos at the two eateries because the confidence interval does not include zero.
Define the term mean?The mean, which reflects the average value of a group of numbers, is a metric of central tendency. It can be calculated by adding up all of the values in the collection, dividing by the total number of values, and then taking the remainder away.
Based on the information provided, we can state that there is a 95% chance that the actual difference (a - b) between Restaurant A and
Restaurant B's mean weight of the bean burritos will lie between 0.06 ounce and 0.20 ounce.
We can infer that there is a statistically significant variance among the mean weights of the bean burritos at the two eateries because the confidence interval does not include zero. We can specifically state that the bean burritos' average weight at Restaurant A is probably heavier than the average bean burrito's weight at Restaurant B.
It's crucial to remember that we cannot establish the size of the difference or the causal relationship. (i.e., whether Restaurant A intentionally makes their burritos heavier or whether they use different ingredients that naturally result in heavier burritos).
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Which describes the correlation shown in the scatterplot? 6 5 4 3 2 1 0 1 2 3 3 4 4 5 6
Answer:
There is a negative correlation in the data set
Step-by-step explanation:
B
The correlation between the variables as shown is a negative correlation.
What is a scatter plot?
A scatter plot is a plot or graph that shows the association between two variables. It can be used to ascertain the correlation between variables at a glance.
Hence, we can see from the scatter plot as shown in the image attached to the question that the correlation between the variables as shown is a negative correlation.
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(x2/5)n
For what value of n, written as a decimal, will the expression equal x?
Given:
The expression is:
\(\left(x^{\frac{2}{5}\right)^n\)
To find:
The decimal value of n so that the value of the given expression is equal to x.
Solution:
We have,
\(\left(x^{\frac{2}{5}\right)^n\)
This expression is equal to x.
\(\left(x^{\frac{2}{5}\right)^n=x\)
\(x^{\frac{2}{5}n}=x^1\) \([\because (a^m)^n=a^{mn}]\)
On comparing the exponents, we get
\(\dfrac{2}{5}n=1\)
\(2n=5\)
\(n=\dfrac{5}{2}\)
\(n=2.5\)
Therefore, the required value of n is 2.5.
Ahora wants to bake pumpkin pies for a Thanksgiving potluck dinner. She needs 8.8 pounds of pumpkins that sell for $0.93 per pound. How much will she spend? Round to the nearest cent.
Answer:
Apx 7.79$
Step-by-step explanation:
Please brainliest
Can you help me with my homework, I don't understand you
Answer:
10. y=-3/4 x+ 6
11. y= 8/3 x -16
Step-by-step explanation:
10. 3x+4y=24
4y=-3x+24
\(y=\frac{-3}{4}x +6\)
11. 8x=48+3y
8x-48=3y
\(y=\frac{8}{3} x-16\)
Question is down below Drop down menu one:A. TriangleB. SquareC. RectangleDrop down menu two: A. Equal toB. Greater than C. Less than Drop down menu three: A. HypotenuseB. LegsC. Base
This intersection described above is a square.
The diagonal across the top and bottom square bases is greater than the edge of the cube because the diagonal across a square acts like the hypotenous o f a issosceles triangle.
patty's dog spike weighs 20.2 pounds and her other dog weighs 17.28 pounds. how much more does spike weigh
Answer:
2.92 it is so easy. Just you have to subtract them
Answer:2.92 pounds
Step-by-step explanation:
If sin0 =1/2 then what is cos0= and tan0=
i. cos 0 = \(\sqrt{3}\)
ii. tan 0 = 1/ \(\sqrt{3}\)
What are trigonometric functions?Trigonometric functions are a set of given functions which are required in determining the value(s) of the sides or internal angle(s) of a given right angled triangle; when the value of one none right angle is given.
In the given question, we have;
sin 0 = 1/2
This implies that;
sin 0 = opposite/ hypotenuse = 1/2
So that;
opposite = 1
hypotenuse = 2
Apply the Pythagorean's theorem so as to determine its adjacent, we have;
adjacent = \(\sqrt{3}\)
Then,
cos 0 = adjacent/ hypotenuse
= \(\sqrt{3}\) / 1
cos 0 = \(\sqrt{3}\)
ii. tan 0 = opposite/ adjacent
= 1/ \(\sqrt{3}\)
tan 0 = 1/ \(\sqrt{3}\)
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Which mathematical concepts are the result of the work of Rene Descartes
Answer:
theory of an Earth-centered universe formula for the slope of a line Pythagorean theorem for a right triangle problem solving by solving simpler parts first Cartesian plane for graphing trusting previous teachers for knowledge.
Step-by-step explanation:
together Larry and Lenny have $\$$35. Larry has two-fifths of Lenny's amount. How many more dollars than Larry does Lenny have
The answer which we get after calculating from the data given is that Larry has 15 dollars more than Lenny.
Let the amount which Lenny is having be x
then the amount which Larry is having will be (2/5)x
and on combining them it makes $35 .
Which means, x + 2x/5 = 35
On simplifying this equation we will get ,
(7/5)x= 35 ,
multiplying both the sides by 5/7
x= (5/7)*35 = $25
Therefore , Lenny is having 4 25.
So Larry must be having , $(35 - 25) = $10
So , we can conclude that Lenny has more dollars. The difference is of 15 dollars.
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Need help, am confused
Answer:
C. 2.7 inches.Step-by-step explanation:
Missing value looks the same, but it's 0.7 ft. longer than 2 ft.
2 + 0.7 = 2.7Your answer is 2.7 (C).
Answer:
x = 2.5 ft. (first option)
Step-by-step explanation:
Apply Thales' Theorem
\(\frac{DC}{EB} =\frac{AC}{AB}\)
\(EB=x\)
\(\frac{10}{x} =\frac{8}{2}\)
\(x=\frac{(10)(2)}{8} =\frac{20}{8}\)
\(x=2.5\)
Hope this helps
Which sign completes each expression?
0.3
>
0.25
0.35
0.4
0.05
0.1
Answer:
Below
Step-by-step explanation:
0.3>0.25
0.35<0.4
0.05<0.1
In ΔABC, a=10 and b=15 .
c. For what measure of ∠ C does ΔABC have the greatest area? Explain.
The triangle will have the greatest area when ∠C = 90°. The triangle will have the greatest area when the angle opposite to the longest side is 90 degrees.
We need to find the maximum value of sin(C) so that the area of the triangle is maximum. In this case, the longest side is b=15, which is opposite to angle C. We are supposed to find the value of angle C such that the area of the triangle is maximum, given a=10 and
b=15.
In order to find the area of the triangle using the formula A = 1/2 * b * a * sin(C), where b and a are the lengths of two sides of the triangle and C is the angle between them.
So, the formula for the area of the triangle is
A(C) = 1/2 * b * a * sin(C)
A(C) = 1/2 * 15 * 10 * sin(C)
A(C) = 75sin(C)
Since -1 ≤ sin C ≤ 1, the maximum value of sin C is 1. This maximum value is attained when C = 90°.
Therefore, the triangle will have the greatest area when ∠C = 90°.
We know that the area of a triangle is given by the formula A = 1/2 * b * a * sin(C). We also know that the longest side of a triangle is opposite to the largest angle. Therefore, the triangle will have the greatest area when the angle opposite to the longest side is 90 degrees. Since the longest side of the triangle is b=15, which is opposite to angle C, we need to find the value of angle C such that the area of the triangle is maximum. Using the formula for the area of the triangle, we get A(C) = 1/2 * b * a * sin(C). We then need to find the maximum value of sin(C) so that the area of the triangle is maximum. Since -1 ≤ sin C ≤ 1, the maximum value of sin C is 1. This maximum value is attained when C = 90°.
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Numerical information in a variety of media
Answer:
Step-by-step explanation:
148 000 000 km + 800 000 km = 148 800 000 km
Choose the statement that describes a way to solve the equation x – 23 = 18.
1. Subtract 23 from both sides of the equation.
2. Subtract 18 from both sides of the equation.
3. Divide both sides of the equation by 23.
4. Add 23 to both sides of the equation.