A telephone pole is 24 feet tall. A 26 foot guy wire is used to stabilize the pole. How far from the base of the telephone pole should the end of the guy wire be set?
Step-by-step explanation:
Let,
the telephone pole be AB
the wire be AC
therefore AB=24
AC=26
By using Pythagora's theorem
(AC)² =(AB)² + (BC)²
(26)² =(24)² + (BC)²
676 = 576 + (BC)²
(BC)²= 676 - 576
(BC)²=100
BC =✓100
BC. =10
Therefore, the base of the telephone pole is set 10m far
HOPE IT HELP YOUa-b = 3 and a^2 + b^2 = 65
a . b = ?
A) 16
B) 21
C) 24
D) 28
Jose constructed Triangle DCE, where m m • Are the two triangles similar to one another?
Answer:
please write question with full info
In predicting income based on years of education, you are concerned about how yourpersonal income measures up with the overall relationship. In this case, you wouldprefer to have a________residual.
In predicting income based on years of education, you are concerned about how your personal income measures up with the overall relationship. In this case, you would prefer to have a small residual.
A residual is the difference between the actual observed value and the predicted value in a regression analysis. In the context of predicting income based on years of education, the residual would represent the difference between the actual income and the predicted income based on the person's level of education.
Ideally, a small residual indicates that the predicted income based on years of education is very close to the actual income, meaning that the regression model is a good fit for the data. A large residual, on the other hand, indicates that there is a significant difference between the predicted and actual income, suggesting that the model may not be accurately capturing the relationship between education and income.
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A regression of yt on xt was conducted and an ADF test on the estimated residuals was performed. The ADF test statistic was found to be -3.10. The Engle-Granger 5% critical value is -3.398 and the ADF 5% critical value -2.86. On the basis of this information, you:
Select one:
a. Do not reject the null hypothesis of no cointegration at the 5% level because -3.398 < -3.10
b. Reject the null hypothesis of no cointegration at the 5% level because - 3.10 < -2.86
c. Reject the null hypothesis of cointegration at the 5% level because -3.398 < -2.86
d. None of these
e. Reject the null hypothesis of no cointegration at the 5% level because -3.398 < -2.86
The correct answer is:
b. Reject the null hypothesis of no cointegration at the 5% level because -3.10 < -2.86
In the given scenario, the ADF test statistic (-3.10) is compared to the ADF 5% critical value (-2.86). If the test statistic is more negative (i.e., lower) than the critical value, it provides evidence to reject the null hypothesis of no cointegration.
Since -3.10 is smaller than -2.86, we can conclude that the estimated residuals from the regression exhibit cointegration at the 5% level. Thus, we reject the null hypothesis of no cointegration.
The other critical value (-3.398) mentioned (Engle-Granger) is not relevant for this decision as it pertains to a different test.
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consider that in 2019 u.s. household income had a mean of $64,000, a standard deviation of $12,000, and a frequency distribution that was mound-shaped and symmetric. determine the z-score for someone with an income of $40,000. group of answer choices -3.00 -2.00 2.00 3.00
A z-score of -2 means that the income of $40,000 is 2 standard deviations below the mean income of $64,000.
The z-score is a standard measure of how many standard deviations a data point is away from the mean. To determine the z-score, we need to use the formula:
z = (x - μ) / σ
Where x is the data point of interest ($40,000), μ is the mean ($64,000), and σ is the standard deviation ($12,000).
Substituting the values:
z = (40000 - 64000) / 12000
z = -2
Therefore, the z-score for someone with an income of $40,000 is -2.
In conclusion, a z-score of -2 means that the income of $40,000 is 2 standard deviations below the mean income of $64,000.
Hence, the correct answer is B.
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--The given question is incorrect; the correct question is
"Consider that in 2019, U.S. household income had a mean of $64,000, a standard deviation of $12,000, and a frequency distribution that was mound-shaped and symmetric. Determine the z-score for someone with an income of $40,000.
A. -3.00
B. -2.00
C. 2.00
D. 3.00"--
Please help! I will mark as brainliest IF answer is right. <3
Answer:
y = -6/5 x -9
Step-by-step explanation:
if you plug -5 as x in the equation you get m = -6/5. then you just put it bact to get the answer
In a circle, an angle measuring 2.4 radians intercepts an arc of length 24.4. Find the radius of the circle to the nearest
The radius of the circle is approximately 10.17 units (rounded to two decimal places).
To find the radius of the circle, we need to use the formula that relates the central angle to the length of the arc and the radius of the circle. The formula is given as:
arc length = radius x central angle
In this case, the arc length is given as 24.4 and the central angle is given as 2.4 radians. Substituting these values in the formula, we get:
24.4 = r x 2.4
Solving for r, we get:
r = 24.4 / 2.4
r ≈ 10.17
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Given the function g(x) = x^3 − x, what is the value of g(3)?
Answer:
24
Step-by-step explanation:
3^3=27
27-3=24
Answer:
value of g(3) is 24
Step-by-step explanation:
3^3 which also equals 27 -3 which has a total of 24
The sum of the measures of angle Pand angle S is 140°.
• The measure in degrees of angle Pis represented by the expression (5x + 30).
• The measure of angle S is 80°.
What is the value of x?
38
B
6
C
10
30
D 22
Answer:6
Step-by-step explanation:i’ve done this answer before
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The value of x is 6.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example:
2 + 3x + 4y = 7 is an expression.
3x = 4 is an expression.
3x + 4x - 4 is an expression.
We have,
The sum of the measures of angle P and angle S is 140°.
The measure in degrees of angle P is represented by the expression.
= (5x + 30)
The measure of angle S.
= 80°
Now,
5x + 30 + 80 = 140
5x + 110 = 140
Subtract 110 on both sides.
5x = 140 - 110
5x = 30
Divide both sides by 5.
x = 6
Thus,
The value of x is 6.
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Can anyone help please!
Answer:
niether
Step-by-step explanation:
the grade point averages of the gourmet society are uniformly distributed between 2.5 and 3.5. a. find the probability distribution function, f(x) for this scenario. b. using part (a), find the probability that a randomly chosen member of the society has a grade point average between 3 and 3.2
The probability that a randomly chosen member of the society has a grade point average between 3 and 3.2 is 0.2 or 20%.
The probability distribution function (pdf), f(x), for the grade point averages of the gourmet society can be represented by a uniform distribution between 2.5 and 3.5. In a uniform distribution, the probability density is constant within the range and zero outside the range. The formula for the pdf is:
f(x) = 1 / (b - a)
where a is the lower bound (2.5 in this case) and b is the upper bound (3.5 in this case). Therefore, for this scenario:
f(x) = 1 / (3.5 - 2.5) = 1
To find the probability that a randomly chosen member of the society has a grade point average between 3 and 3.2, we need to calculate the area under the probability distribution curve within that range. Since the probability density is constant within the range, the probability is equal to the width of the range divided by the total width of the distribution.
The width of the range is 3.2 - 3 = 0.2, and the total width of the distribution is 3.5 - 2.5 = 1. Therefore, the probability is:
Probability = (width of range) / (total width)
= 0.2 / 1
= 0.2
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what is the soulution 8x + 4x = 0
Answer:
0
Step-by-step explanation:
8x + 4x = 0
12x = 0
x = 0/12
x = 0
Step-by-step explanation:
combine like terms\(8x + 4x = 0\)
\(12x = 0\)
divide both sides by the same factor\( \frac{12x}{12} = \frac{0}{12} \)
cancel terms that are in both the numerator and denominator\( \frac{12x}{12} = \frac{0}{12} \)
\(x = \frac{0}{12} \)
which is basically 0
if the width is 8 less than the length of a rectangle and the perimeter is 48 find the width
Answer:
Widyh = 8 units
Step-by-step explanation:
Perimeter = 2/width+length)
then:
48 = 2(W+L)
W = L-8
W = Width
L = Length
then:
48 = 2((L-8)+L)
48 = 2(2L88)
48 = 2*2L - 2*8
48 = 4L - 16
48 + 16 = 4L
64 = 4L
L = 64/4
L = 16
W = L-8
W = 16-8
W = 8
Check:
48 = 2(16+8)
48 = 2*24
What is the growth factor when something is decreasing by:
15.7%
0.12%
When something decreases by 15.7%, the growth factor is about 1.182 and when something decreases by 0.12%, the growth factor is about 1.00012.
In math, what is the definition of multiplying?
Multiplication is a mathematical process that shows the amount of times a number has been added to itself. It is represented by the multiplication symbols (x) or (*). Division is a mathematical process that shows how many equal amounts add up to a given quantity.
If something decreases by 15.7%, the increase in the factor is 100 / (100 - 15.7) Equals 1.182.
As a result, when something decreases by 15.7%, the growth factor is about 1.182.
When something falls by 0.12%, the expansion factor is 100 / (100 - 0.12) = 1.00012.
As a result, when something decreases by 0.12%, the growth factor is about 1.00012.
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A letter is randomly selected from the word 'TABTOR'. What is the probability that the letter will be "T"?
Answer:
1/3
Step-by-step explanation:
because there's six letters and out of those letters there 2 t's so it's 2/6 but if you were to simplify it, it would be 1/3
What is the area of an equilateral triangle with the base of 8 cm? Round your answer to the hundredths place.
Step-by-step explanation:
\( \frac{{x}^{2} \times \sqrt{3}}{4} \)
for x=8, area=16*root(3)
Answer:
Let's find the height:
Half of 8 is 4.
4^2 + 8^2 = 80
80(lets find the square root of 80): 8.944 ^2 = 79.995136 close enough to 80
Your new height is 8.944.
8 x 8.944 = 71.552, 71.552 x 1/2 (basically just dividing by 2) = 35.776 rounded would be = 35.78 cm^2
Formula of area of a triangle:
B(base)H(height) x 1/2(basically just dividing by 2)
In this case 8 is your base and 8.944 is your height.
Calculate the IJVANEWHYX come ps as defined by the minimum and maximum limits; this is an integrated discussion with the Flow Assurance team:
Minimum setting depth limit:
Confirm minimum setting depth required by local regulations.
Obtain hydrate curve c/w mapped shut in tubing head pressure from the Production Technologist and, extrapolate the minimum depth which the valve needs to be set at to ensure it is set below the hydrate region.
IJVANEWHYX is a valve and its ps (set pressure) is determined based on a number of factors, including the minimum and maximum limits, which are specific to the application, environment, and regulations. In the case of setting the valve below the hydrate region, the minimum setting depth limit needs to be determined based on local regulations and the hydrate curve c/w mapped shut-in tubing head pressure provided by the Production Technologist.
To calculate the ps for IJVANEWHYX, several factors need to be considered, including the fluid properties, flow rates, temperature, and pressure conditions. The ps is typically determined based on the maximum expected pressure in the system, plus a safety margin for contingencies.
The Flow Assurance team should be consulted to ensure that the ps is set appropriately for the application and to ensure that the valve will function as intended under all expected conditions. The team should also provide guidance on any other flow assurance measures that may be required to ensure that the valve operates effectively and safely.
Overall, setting the ps for IJVANEWHYX requires careful consideration of the specific application and conditions, and collaboration between the relevant teams to ensure that the valve is set appropriately and that all necessary measures are in place to ensure safe and effective operation.
Approximately 54% of mathematics students do their homework on time. in a class of 250 students, what is the mean, variance, and standard deviation if we assume normality and use the normal distribution as an approximation of the binomial distribution? answer choices rounded to the nearest whole number.
Approximately 54% of mathematics students, by using binomial distribution, then the mean = 54 , Variance = 21.6 , Standard deviation = 4.64
Given That,
The total number of students (n)= 250
The probability of students, completing their homework on time (p)= 54%
= \(\frac{54}{100}\)
= 0.54
According to the binomial distribution,
Binomial distribution is a probability distribution in statistics that summarizes the likelihood that a value will take one of two independent values under a given set of parameters or assumptions.
The mean refers to the average of a set of values. The mean can be computed in a number of ways, including the simple arithmetic mean (add up the numbers and divide the total by the number of observations), the geometric mean, and the harmonic mean.
mean = np
= 100 × 0.54
= 54
Variance = np× (1 - p)
= 100 × 0.54 × 0.4
= 21.6
Standard deviation = \(\sqrt{variance}\)
Standard deviation = \(\sqrt{21.6}\)
Standard deviation = 4.64
Therefore,
Approximately 54% of mathematics students, by using binomial distribution, then the mean = 54 , Variance = 21.6 , Standard deviation = 4.64
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many automobiles produce about 5 grams of no for each mile they are driven. how many liters of no gas at stp would be produced on a 100-mile trip?
400 liters of NO would be produced on a 100-mile trip.
What is an ideal gas equation?
PV = nRT is the equation for an ideal gas. In this equation, P stands for the ideal gas's pressure, V for the ideal gas' volume, n for the total amount of the ideal gas expressed in moles, R for the universal gas constant, and T for temperature.
Here, we have
molar mass of NO = (14+16) = 30 g/mole
then , 5 g NO = (5/30) = 0.167 moles
total production of NO in 100 miles trip = 100*0.167 = 16.67 moles
The ideal gas equation is
PV = nRT at NTP
pressure (P) = 1 atm, temperature ( T) = 293 K (200c)
number of moles (n) = 16.67
then, we get
V = nRT/P
= 16.67*0.082*293/1
= 400 L
Hence, 400 liters of NO would be produced.
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tell whether x and y are in a proportional relationship if also write an equation that represents the relationship. for all for give a different explanation 20 points question
Answer: Two quanties are said to have a proportional relationship if they vary in such a way that one of the quantities is a constant multiple of the other, or equivalently if they have a constant ratio. ... inversely proportional: y is inversely proportional to x of y=k/x.
angle a is equal to 5x + 11 and angle b is equal to 2x + 15. What is the value of x?
Answer:
x=1.3 continuing
Step-by-step explanation:
Is 144 a perfect square?
A. The whole number 144 is a perfect square because the square root of 144 is a whole number.
B. The whole number 144 is not a perfect square because the square root of 144 is not an irrational number.
C. The whole number 144 is a perfect square because 144 is divisible by 2.
D. The whole number 144 is a perfect square because 144 is divisible by 4.
Answer:
A,
Step-by-step explanation:
because the whole number 144 is a perfect square and the square root of 144 is also a whole number
Determine the slope of the line
Step-by-step explanation:
(x₁, y₁) = (-3, -4) and (x₂, y₂) = (0, 4)
\(m = \frac{y2 - y1}{x2 - x1} \\ m = \frac{ 4 - ( - 4)}{0 - ( - 3)} \\ m = \frac{4 + 4}{3} \\ m = \frac{8}{3} \)
#CMIIWCan you please help me? I get stuck on these, if you could I would really appreciate how you solved it as well to help me understand better! Thank you so much! <3
What will the difference between T20 and T21 be?
Answer:
T20 is 1 more than T21 (It's somewhere there)
Step-by-step explanation:
I need help ASAP to find the solution
Answer:
(1,-1)
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
What is the answer for 6
Answer:
Non-Linear and there is symmetry
Step-by-step explanation:
Sarah wants to predict how many T-shirts your homeroom will sell. She wants to compute the mean number of T-shirts sold by the other homerooms to do this. David says Sarah should use the median instead of the mean.
Explain how the other homerooms' data support David's claim.
Mrs. Ashe 1434
Mrs. Garcia 740
Mr. Jackson 1696
Mr. Oliver 1517
Ms. Zang 1368
David suggests that the median be used instead of the mean to o predict how many T-shirts your homeroom will sell because it gives a better estimate of the number of T-shirts the other homerooms sold.
The median is not affected by unusually high or low values, so it shows a more reliable prediction. From the data, the median number of T-shirts sold by the other homerooms is 1434.
How to distinguish between the median and the mean?
The median is the middle value of the data when you arrange it in order, while the mean is the average of all the values.
Example:
If we arrange the number in ascending order:
Mrs. Garcia: 740
Ms. Zang: 1368
Mrs. Ashe: 1434
Mr. Oliver: 1517
Mr. Jackson: 1696
Here, 1434 is the Median.
The median doesn't change much if there are some really big or small values, so it's better for data with unusual numbers.
However, the mean considers all the values, but it can be affected by extreme numbers.
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Explain the advantages and disadvantages of a non-linear rate structure.
Please, help!
Answer:
advantage: it uses memory very efficiently than linear data structures
disadvantages: Non - linear data structures are quite hard to understand and implement than linear data structures