Answer:
the first one is correct
Step-by-step explanation:
Find an angle in each quadrant with a common reference angle with 332°
Answer:
Step-by-step explanation:
In first quadrent, reference angle is equal to 332
in secodn quadrent, 332-180
angle - 180 so 332-180
fouth Quadrent, 360-332
Answer is equal to 28
Answer:
Quadrant 1: 152°
Quadrant 2: 28°
Quadrant 3 (Given): 332°
Quadrant 4: 208°
Step-by-step explanation:
A 332° angle in standard position has its terminal side in quadrant 3 since 332° is between 180° and 360°.
332° - 180° = 152°
The reference angle for 332° is 152°
Quadrant 1: 152°
Quadrant 2: 180° - 152° = 28°
Quadrant 3 (Given): 332°
Quadrant 4: 360° - 152° = 208°
Solve this using elimination method and substation method
4x + 3y = 7 x - 2y = -1
The solution of the system of equation, 4x + 3y = 7 x - 2y = -1 are x = 1 and y = 1.
How to solve system of equation?System of equation can be solved using different method such as elimination method and substitution method.
Therefore, using elimination method
4x + 3y = 7
x - 2y = -1
multiply equation(ii) by 4
4x + 3y = 7
4x - 8y = -4
subtract the equations
11y = 11
y = 1
x = - 1 + 2(1)
x = 1
Using substitution method,
Therefore,
4x + 3y = 7
x - 2y = -1
x = - 1 + 2y
susbtitute the value of x in equation(i)
4(-1 + 2y) + 3y = 7
-4 + 8y + 3y = 7
-4 + 11y = 7
11y = 7 + 4
11y = 11
y = 1
Therefore,
4x = 7 - 3
4x = 4
x = 1
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Solve x for me please I need it!!!
Answer:
The angle x° = 34°
Step-by-step explanation:
Given the right-angled triangle
right angle = 90° Given the angle = 56°We know that the sum of angles of a triangle = 180°
so
90° + 56° + x° = 180°
x° = 180°- 90° - 56°
x° = 34°
Therefore, the angle x° = 34°
TIME REMAINING
58:31
The admission to a local carnival is $8.25 per person and $1.50 for each ride. How much more will it cost a group of 3 friends to ride 8 rides each than to ride 3 rides each?
Answer:
$22.50
Step-by-step explanation:
a food inspector examined 16 jars of a certain brand of jam to determine the percent of foreign im- purities. the following data were recorded: 2.4 2.3 3.1 2.2 2.3 1.2 1.0 2.4 1.7 1.1 4.2 1.9 1.7 3.6 1.6 2.3 using the normal approximation to the binomial dis- tribution, perform a sign test at the 0.05 level of signif- icance to test the null hypothesis that the median per- cent of impurities in this brand of jam is 2.5% against the alternative that the median percent of impurities is not 2.5%.
Since the p-value (0.034) is less than the significance level of 0.05, we reject the null hypothesis. This suggests evidence against the claim that the median percent of impurities in the brand of jam is 2.5%.
To perform the sign test, we compare the observed values to the hypothesized median value and count the number of times the observed values are greater or less than the hypothesized median. Here's how we can proceed:
State the null and alternative hypotheses:
Null hypothesis (H0): The median percent of impurities in the brand of jam is 2.5%.
Alternative hypothesis (Ha): The median percent of impurities in the brand of jam is not 2.5%.
Determine the number of observations that are greater or less than the hypothesized median:
From the given data, we can observe that 5 jars have impurity percentages less than 2.5% and 11 jars have impurity percentages greater than 2.5%.
Calculate the p-value:
Since we are performing a two-tailed test, we need to consider both the number of observations greater and less than the hypothesized median. We use the binomial distribution to calculate the probability of observing the given number of successes (jars with impurity percentages greater or less than 2.5%) under the null hypothesis.
Using the binomial distribution with n = 16 and p = 0.5 (under the null hypothesis), we can calculate the probability of observing 11 or more successes (jars with impurity percentages greater than 2.5%) as well as 5 or fewer successes (jars with impurity percentages less than 2.5%). Summing up these probabilities will give us the p-value.
Compare the p-value to the significance level:
Since the significance level is 0.05, if the p-value is less than 0.05, we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.
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Need help lot of points with both
Answer: The answer for the ´´what is the slope of the equation?"is -3
The answer for the second one ¨What is the y-intercept of this graph?"is (0,1)
Step-by-step explanation:
Which place value is 10 times greater than the tens place
Answer:
Hundreds place
Step-by-step explanation:
Do some simple math:
\(10*10=100\)
Hope this helps!
Which of the following describes the image of a triangle after a dilation that has a scale factor of 2/3?
A.-Each angle has 2/3 of the measure of its corresponding angle in the pre-image
B.-Each side has the same measure as its corresponding angle in the pre-image.
C.-Each angle has the same measure as its corresponding angle in the pre-image.
D.-Each side has 3/2 the length of its corresponding length in the pre-image.
We want to see which statement describes the image of a triangle after a dilation of scale factor of 2/3.
We will see that the correct option is C:
"Each angle has the same measure as its corresponding angle in the pre-image."
First, if we have a given figure and we apply a dilation of scale factor K, then all the measures of the given figures are affected by that dilation.
So if the 3 sides of the original triangle measured A, B, and C.
The new measures will be:
C' = k*CB' = k*BA' = k*ANotice that because all the sides changed proportionally, then the internal angles produced did not change after the dilation.
From this, we can conclude that the only correct option is C:
"Each angle has the same measure as its corresponding angle in the pre-image."
This says that the angles of the dilated triangle are the same ones as the angles of the initial triangle, which is true.
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Neumann conditions for Laplace any requires some attention. For instance, show that no m •[0,1]² satisfies Δm=0
∂m/∂y (x,0)= ∂m/dy (x,1) = ∂m/dy (0,1)=0
∂m/d∂ (1,0)=1
To show that no function m(x, y) on the domain [0,1]² satisfies the Laplace equation Δm = 0 and the Neumann boundary conditions ∂m/∂y (x,0) = ∂m/∂y (x,1) = ∂m/∂y (0,1) = 0 and ∂m/∂x (1,0) = 1, we can assume the existence of such a function and derive a contradiction.
Assuming that a function m(x, y) exists that satisfies Δm = 0 and the given Neumann boundary conditions, we can proceed by solving the Laplace equation using separation of variables. By separating m(x, y) into X(x)Y(y), we find that X''(x)/X(x) + Y''(y)/Y(y) = 0.
Solving the separated ODEs, we obtain X(x) = A + Bx and Y(y) = Ce^y + De^-y, where A, B, C, and D are constants. However, these solutions do not satisfy the given Neumann boundary conditions.
Specifically, the condition ∂m/∂x (1,0) = 1 implies that B = 1. But the boundary condition ∂m/∂y (0,1) = 0 requires D = 0, which conflicts with the solution Y(y) = De^-y. Therefore, no function m(x, y) can simultaneously satisfy the Laplace equation and the Neumann boundary conditions, leading to a contradiction.
Hence, we can conclude that no function m(x, y) exists that satisfies Δm = 0 and the given Neumann boundary conditions on the domain [0,1]².
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13/26= x/24 solve for x
Answer: x = 12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
you would multiply both sides by 24
What kind of function best models each situation?
Cate started with $0 in her account. After one week Cate saved $1; after two weeks she saved $4; after three
weeks she saved $9; and after four weeks she saved $16.
The function representing the given situation will be f(x) = x², where x is the number of week.
What is function?A function is defined as a relation between a set of inputs having one output each.
Given that, Cate started with $0 in her account. After one week, Cate saved $1; after two weeks she saved $4; after three weeks she saved $9; and after four weeks she saved $16.
As we see,
In 1 week the amount is $1
In 2 week the amount is $4
In 3 week the amount is $9
Which is showing that the amount is square of the week.
Hence, we can write the function as f(x) = x², where x is the number of week.
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the dean's secretary receives an average of 3 calls per hour. assuming the poisson distribution applies, what is the probability that th secretary will receive 6 calls next hour?
The probability that the secretary will receive 6 calls next hour is approximately 0.090 or 9.0%.
The Poisson distribution is a probability distribution that describes the number of events occurring in a fixed time interval, given the average rate at which events occur and the independence of events. In this case, the average rate of calls is 3 calls per hour.
The probability of receiving exactly 6 calls next hour can be calculated using the Poisson probability formula:
\(P(X = 6) = (e^(-λ) * λ^6) / 6!\)
where λ is the average rate of calls, e is the base of the natural logarithm, and 6! is the factorial of 6.
Substituting the values, we get:
\(P(X = 6) = (e^(-3) * 3^6) / 6! ≈ 0.090\)
Therefore, the probability that the secretary will receive 6 calls next hour is approximately 0.090 or 9.0%.l
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The probability that the secretary will receive 6 calls next hour is approximately 0.0504, or 5.04%
To calculate the probability that the secretary will receive 6 calls next hour, given that the average is 3 calls per hour
and the Poisson distribution applies, follow these steps:
Identify the given information: λ (average calls per hour) = 3, k (number of calls to calculate the probability for) = 6.
Use the Poisson probability formula:
P(k) =\((e^{(-\lambda)} \times\lambda^k) / k!,\)
where P(k) is the probability of k calls,
e is the base of the natural logarithm (approximately 2.71828),
λ is the average rate (3 calls per hour), and
k! is the factorial of k (6 in this case).
Calculate \(e^{(-\lambda)}: e^{(-3)} = 0.04979.\)
Calculate \(\lambda^k: 3^6 = 729.\)
Calculate k!: 6! = 6 × 5 × 4 × 3 × 2 × 1 = 720.
Substitute these values into the formula: P(6) = (0.04979 × 729) / 720 ≈ 0.0504.
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Which equation represents the linear function in the table?
Answer: B. y = 3x - 5
Step-by-step explanation:
First ,we know Option C will not be an option because of the y-intercept (the point at which the line intersects the y-axis) is -5. This is shown by the point (0, -5). Option C shows it as 1.
We will substitute a point into the given equations and see if the simplified version remains true.
✗ A ➜ y = -3x - 5
➜ -2 = -3(1) - 5
➜ -2 ≠ -8
✓ B ➜ y = 3x - 5
➜ -2 = 3(1) - 5
➜ -2 = -2
✗ D ➜ y = -x - 5
➜ -2 = -1 - 5
➜ -2 ≠ -6
Using this method of substitution, we can see the answer is B.
A movie began at 3:12pm and ended at 5:10pm. Calculate the length of time the movie lasted (30 points
Write a fraction with a denominator of 9 whose equivalent percent is less than 100%. B.) Explain why the fraction is less than 100%.
1/9 because 1/9 is equivalent to .1 repeating, and since it repeats, it would continue with the 1 for infinite decimal places, thus making 11.11111% because you move the decimal over 2 places to make the fraction turn into a decimal.
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06/12/2017
I really need help with part a and b, please help. Incorrect answers will be downvoted, correct answers will be upvoted. 1. The army is interested in characterizing the acoustic signature of a helicopter. The following data show measurements of acoustic pressure (made dimensionless) for a two-bladed helicopter rotor through of a rotor revolution. The data points are equally spaced in time, and the period of the data collection is of a second. p=00.00040.0015 0.0028 0.0040 0.0048 0.0057 0.0071 0.0095 0.0134 0.0185 0.02420.0302 0.0364 0.0447 0.0577 0.0776 0.0955 0.0907 -0.0477 -0.0812 -0.0563 -0.0329 -0.0127 0.0032 0.0147 0.0221 0.0256 0.0255 0.0222 0.0170 0.0112 0.0064 0.0035 0.0023 0.0020 0.0019 0.0016 0.0009 0.0002 a) Find the real discrete Fourier transform for this data set. (b) Any term in the Fourier series can be written: ak Cos(kwt)+bk sin(kwt) =ck Cos(kwt+$k) ak Find the ck's and plot their amplitude on a bar graph vs. k to illustrate the relative size of each term in the series. Explain the significance of the plot
(a) The real discrete Fourier transform (DFT) is calculated for the given data set to analyze the helicopter's acoustic signature.
(b) To obtain the ck values and illustrate the relative size of each term in the Fourier series, we calculate the magnitude of each coefficient and plot their amplitudes on a bar graph against the corresponding frequency component, k.
To analyze the helicopter's acoustic signature, the real DFT is computed for the provided data set. The DFT transforms the time-domain measurements of acoustic pressure into the frequency domain, revealing the different frequencies present and their corresponding amplitudes. This analysis helps in understanding the spectral characteristics of the helicopter's acoustic signature and identifying prominent frequency components.
Using the Fourier series representation, the amplitudes (ck's) of the different frequency components in the Fourier series are determined. These amplitudes represent the relative sizes of each term in the series, indicating the contribution of each frequency component to the overall acoustic signature. By plotting the amplitudes on a bar graph, the relative strengths of different frequency components become visually apparent, enabling a clear comparison of their importance in characterizing the helicopter's acoustic signature.
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the volume of a cube is 343 cubic meters. what is the length of one of the sides?
Answer:
Step-by-step explanation:
21.925
Help I will be marking brainliest!!!
A. 45
B. 43
C. 36
D. 90
Show work, or explain you answer if possible. Thanks❤️
A. 45
B. 43
C. 36D. 90
#CarryOnLearning.
the sum of two numbers is 22. three times one number increased by five is 35. what are the two numbers?
Answer:
x + y = 22
3x + 5 = 35
3x = 30, so x = 10 and y = 12.
Simple Linear Regression: Predicting the Total Number of Wins using Average Relative Skill You created a simple linear regression model for the total number of wins in a regular season using the average relative skill as the predictor variable. See Step 3 in the Python script to address the following items: - In general, how is a simple linear regression model used to predict the response variable using the predictor variable? - What is the equation for your model? - What are the results of the overall F-test? Summarize all important steps of this hypothesis test. This includes: a. Null Hypothesis (statistical notation and its description in words) b. Alternative Hypothesis (statistical notation and its description in words) c. Level of Significance d. Report the test statistic and the P-value in a formatted table as shown below:
A simple linear regression model predicts the response variable using a single predictor variable. In this case, the average relative skill is used to predict the total number of wins in a regular season.
How does a simple linear regression model predict the response variable using the predictor variable?In simple linear regression, the relationship between the predictor variable (average relative skill) and the response variable (total number of wins) is represented by the equation:
Wins = Intercept + Slope * Average Relative Skill
The overall F-test assesses the significance of the linear relationship between the predictor and response variables. The steps of this hypothesis test are as follows:
a. Null Hypothesis (H0): There is no significant linear relationship between average relative skill and the total number of wins in a regular season.
b. Alternative Hypothesis (Ha): There is a significant linear relationship between average relative skill and the total number of wins in a regular season.
c. Level of Significance: The chosen significance level (typically 0.05) determines the threshold for accepting or rejecting the null hypothesis.
d. The F-test statistic evaluates the overall significance of the regression model. It compares the explained variation (due to the model) to the unexplained variation (residuals). The associated p-value determines the statistical significance of the F-test.
By comparing the test statistic to the critical value and considering the p-value, we can make conclusions about the significance of the linear relationship between average relative skill and the total number of wins.
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Answer QUICKLY!!!!!!!!!!!!!!
Petro made no mistake in solving the system of equations by the elimination method.
How to solve the system of equations?The system of equations in the context of this problem is defined as follows:
-14x - 2y = 24.14x + 8y = -12.By the elimination method, we can add the two equations, then eliminating the variable x.
Hence the value of y can be obtained as follows:
6y = 12
y = 12/6
y = 2.
This was the exact procedure done by Pedro, which means that he made no mistake in solving the system of equations by the elimination method.
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michael borrowed $4,500 from the bank. the back charged a simple interest rate of 10.5% for the 3 years he had the back loan. what was the total cost of the loan ? HURRY .
Answer:
$1417.50+$4500= 5917.50
TEMPERATURE The temperature on a thermometer dropped from a reading of 25°to -8°. Find the midpoint of these temperatures.
Answer:
8.5°
Step-by-step explanation:
25 + (-8)
=25 - 8
=17 ÷ 2
= 8.5°
frankie bought a new computer. he made an initial payment of to the store, and he will pay each month until the computer is paid off. which equation represents the relationship between , the number of monthly payments frankie has made, and , the total amount that frankie has paid the store?
We need to use some basic algebraic equations. Let's assume that the initial payment made by Frankie was x, and the total amount he has to pay for the computer is y. Also, let's assume that Frankie will make n monthly payments.
Now, we know that Frankie has already paid x, and he has to pay y-x more. Since he will pay this amount in n monthly installments, we can represent the monthly installment as (y-x)/n.
So, the equation that represents the relationship between n and y can be written as:
y = x + n*(y-x)/n
Simplifying this equation, we get:
y = x + y-x
y = y
This means that the equation is true for any value of n and y, as long as x is a valid initial payment amount. Therefore, the equation that represents the relationship between n and y is:
y = x + n*(y-x)/n
The equation we derived above is a simple but important concept in mathematics and finance. It shows us that we can calculate the total amount we need to pay for something by multiplying the monthly installment by the number of payments and adding the initial payment to it. This concept is used in many financial transactions, such as car loans, mortgages, and credit card payments.
Moreover, this equation also helps us to plan our finances and manage our budget effectively. We can use it to calculate how much we need to save every month to reach our financial goals, or to compare different payment options and choose the one that suits us best.
In conclusion, the equation that represents the relationship between the number of monthly payments and the total amount paid is an essential tool for anyone who wants to make wise financial decisions. By understanding this equation, we can save money, avoid debt, and achieve our financial goals more easily.
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what is (fxg)(x)
f(x)=x^3-4x+2
g(x)=x^2+2
Answer: x^6+6x^4+8x^2+2
Step-by-step explanation:
Since g comes after f then you will take g's equation and plug it into the f equation so it would turn out to be if you plugged it in
(x^2+2)^3-4(x^2+2)+2 which would equal x^6+6x^4+8x^2+2
Which of the following functions is graphed below?
Answer:
idk man if you want to add a picture click the paperclip thingy though
inscribed in a circle is a quadrilateral having sides of lengths 25,~39,~5225, 39, 52, and 6060 taken consecutively. the diameter of this circle has length
The diameter of this circle has length of 65 when it is inscribed in a circle is a quadrilateral.
What is meant by diameter?The straight line that runs through the center of a round shape or object from one point on one edge to another: The diameter is twice as large as the radius. The pond is six feet across. Both definitions hold true for the diameter of a sphere.
We note that 25²+60²=65² and 39²+52²=65²
Let \(\bar{AB}\)=25, \(\bar{BC}\)=39, \(\bar{CD}\)=52, \(\bar{DA}\)=60
Let \(\bar{BD}\)=x and ∠DAB=y
x²=25²+60²-3000cos(y)
x²=39²+52²-4056cos(180-y)
We obtain by performing some computation x²=4225-3000cos(y) and x²=4225-4056cos(y).
4056cos(y)=3000cos(180-y)
cos(180-y)=-cos(y)
So, by substituting we get 4056cos(y)= -3000cos(y)
cos(y)=0 or y=90.
∠BAD=90 and ∠BCD=90.
The diameter of a right triangle inscribed in a circle is the hypotenuse.
This means that the diameter is √4225=65
Therefore, the diameter of this circle has length of 65.
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question a 15-foot ladder is leaning against a wall. the top of the ladder is sliding down the wall at a rate of 2 ft/sec. how fast is the bottom of the ladder moving when it is 12 feet away from the wall?
Speed the top of the ladder is sliding down = 1.6ft/sec when it is 12 feet away from the wall
15-foot ladder is leaning against a wall.
the top of the ladder is sliding down the wall at a rate of 2 ft/sec.
how fast is the bottom of the ladder moving when it is 12 feet away
Using equivalent proportion
15 ft -------------------2ft/sec
12 ft-------------------X ft/sec
Hence X = (12 x 2) ÷ 15 =1.6 ft/sec
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a researcher reviews study data about head circumference in newborns and notes that study personnel are measuring from the end of the measuring tape and not from the zero point, which is 1 cm from the end. this is an example of which type of measurement error? group of answer choices reliability indirect random systematic
This results in the systematic measurement error as the deviation is consistently in one direction. Hence, this is an
example of systematic measurement error.
In the given scenario, the researcher reviews study data about head circumference in newborns and notes that study
personnel are measuring from the end of the measuring tape and not from the zero point, which is 1 cm from the end.
This is an example of systematic measurement error.
Systematic measurement error refers to a consistent deviation from the true value in a particular direction in a series of
measurements.
This error is also referred to as bias. In the given scenario, the personnel are measuring from the end of the measuring
tape and not from the zero point, which is 1 cm from the end.
This results in the systematic measurement error as the deviation is consistently in one direction. Hence, this is an
example of systematic measurement error.
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PLEASE HELP 15 POINTS!
I need the slope of AB and the slope of CD.
Answer:
2
Step-by-step explanation:
They are parallel, and have the same slope.
rise over run
4/2
2