The Z-value posted in part(c) for a confidence level of 74% is 1.150
The Confidence level in statistics denotes the likelihood that an estimate of the location of a statistical parameter (such as an arithmetic mean) in a sample survey will also hold true for the population.
Confidence levels must be determined before conducting a survey since they affect the poll's margin of error and necessary coverage. 90, 95, and 99% confidence intervals are widely employed in surveys.
A calculated statistic that was based on a sample would also be true for the entire population, within the established confidence level, with a 95% likelihood, if the confidence level were set at 95%.
Every confidence level has different z-value
In the question, We have to write the Z-value of 74% which is 1.15
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The following data show the brand, price ($), and the overall score for six stereo headphones that were tested by a certain magazine. The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest). The estimated regression equation for these data is û = 22.793 + 0.322x, where x = price ($) and y = overall score. Brand Price ($) Score A 180 78 B 150 69 C 95 61 D 70 56 E 70 40 F 35 26 (a) Compute SST, SSR, and SSE. (Round your answers to three decimal places.) SST = SSR = SSE = (b) Compute the coefficient of determination r2. (Round your answer to three decimal places.) 2 = Comment on the goodness of fit. (For purposes of this exercise, consider a proportion large if it is at least 0.55.) The least squares line provided a good fit as a large proportion of the variability in y has been explained by the least squares line. The least squares line did not provide a good fit as a small proportion of the variability in y has been explained by the least squares line. O The least squares line provided a good fit as a small proportion of the variability in y has been explained by the least squares line. O The least squares line did not provide a good fit as a large proportion of the variability in y has been explained by the least squares line. (c) What is the value of the sample correlation coefficient? (Round your answer to three decimal places.)
(a) SST = 1772, SSR= 1420.79, SSE=353.05
(b) Coefficient of determination is 0.8018.
(c) Sample correlation coefficient is 0.8954.
The average score can be obtained as
y = ∑y / n
= 330 / 6
y = 55
The least-square regression line is given as:
y' = 23.221 + 0.318x
Using the above stated regression equation; the predicted values of overall score can be obtained for the given values of price.
y' = 23.321 + 0.318(170) = 77.281
(a) The formula for computing SST is given as:
SST = ∑ (yi - y)²
SST = 1772
Hence the value of SST is 1772.
The formula for computing SSR is given as:
SSR = ∑ (yi' - y)²
SSR = 1420.79
Hence the value of SSR is 1420.79.
The formula for computing SSE is given as:
SSE = ∑(yi - y')²
SSE = 353.05
(b) The coefficient of determination is given by the formula:
R² = [tex]\frac{SSR}{SST}[/tex]
= [tex]\frac{1420.79}{1772}[/tex]
R²= 0.8954
Hence the value of the coefficient of determination is 0.8018.
(c) The correlation coefficient is computed as:
r = [tex]\sqrt{R^{2} }[/tex]
= [tex]\sqrt{0.8018}[/tex]
r = 0.8954
Hence the value of the correlation coefficient is 0.8954.
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The wholesale price for a shirt is 5.50. A certain department store marks up the wholesale price by 90%. Find the price of the shirt in the department store.
Round your answer to the nearest cent, as necessary.
The price of the shirt if The wholesale price for a shirt is 5.50 and A certain department store marks up the wholesale price by 90% is $10.45.
What is the Wholesale price?The cost price of a certain product plus the profit margin earned by the manufacturer equals the wholesale price.
Given:
The wholesale price for a shirt is $5.50,
The markup price = 90%
Calculate the markup price as shown below,
The markup price = 90% of $5.50
The markup price = 90 / 100 × 5.50
The markup price = $4.95
Calculate the price of the shirt as shown below,
The price of a shirt = The markup price + The wholesale price of the shirt
The price of a shirt = $5.50 + $4.95
The price of a shirt = $10.45
Therefore, the price of the shirt if The wholesale price for a shirt is 5.50 and A certain department store marks up the wholesale price by 90% is $10.45.
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test the series for convergence or divergence. if the series is convergent, use the alternating series estimation theorem to determine how many terms we need to add in order to find the sum with an error less than 0.0001?
By using the alternating series estimation theorem we found that the number of terms we need to add in order to find the sum with an error less than 0.0001 is 7.
We must employ one of the convergence tests to determine whether the provided series is convergent or divergent. The alternating series test, which states that a series converges if it takes the form ∑ [tex](-1)^{n}[/tex] x an, where 'an' is a decreasing sequence of positive terms, is the most applicable test for this series.
∑ [tex](-1)^{n}[/tex] x an
a n = [tex]\frac{(n + 1)}{(n^2 + 2n + 3)}[/tex]
by taking the derivative of the expression for a n, this sequence is decreasing and showing that it is always negative. given by a'n = [tex]\frac{(n + 1)}{(n^2 + 2n + 3)}[/tex] [tex]- \frac{(n + 1) X 2)}{(n^2 + 2n + 3)^2}[/tex]
= [tex]\frac{(-2n - 2)}{(n^2 + 2n + 3)^2}[/tex]
for all values of n it is negative, therefore the sequence a n is decreasing. Thus, given series satisfies the conditions of the alternating series test. Therefore, the series is convergent.
The alternating series estimation theorem can be used to determine how many terms are required to be added in order to find the total with an error of less than 0.0001. This asserts that the first disregarded term in an alternating series is smaller than the error in the series' sum. The error in the sum of the series with N + 1 terms is therefore smaller than the value of the (N + 1)th term in the series if we add N terms to the series and the error is less than E.
Find the first term in the series that is less than 0.0001 in order to calculate the number of terms we must add to the series in order to find the total with an error smaller than 0.0001.
given series that a 1 = [tex]\frac{2}{4}[/tex] = 0.5, a 2 = [tex]\frac{3}{9}[/tex] = 0.333, a 3 = [tex]\frac{4}{16}[/tex] = 0.25, and a 4 = [tex]\frac{5}{25}[/tex] = 0.2. Since the first term that is less than 0.0001 is a 7 = [tex]\frac{8}{64}[/tex] = 0.125, Adding, 7 terms to the series in order to find the sum with an error less than 0.0001.
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Lance Industries borrowed $130,000. The company plans to set up a sinking fund that will repay the loan at the end of 18 years. Assume a 6% interest rate compounded semiannually. What amount must Lance Industries pay into the fund each period? (Round your answer to the nearest cent.)
The amount must Lance Industries pay into the fund each period is $2,054.49
Define Sinking Funds
A fund set aside to cover a certain future expense is known as a sinking fund. The sinking fund can be thought of as an annuity if equal contributions are made on a regular basis; its value will rise until it is sufficient to pay the future expense.
Given,
Lance Industries borrowed = $130,000
Time = 18 years
Interest rate = 6%
The future value is,
FVₙ =PMT( (1+i/m)ⁿ - 1 ) / (i/m) )
PMT = payment fund semiannually.
i = 6% or 0.06
m = 2 (semiannually will be 2 times per year)
n = 18 * 2 = 36 periods
FV₃₆ = $130,000
Now, plug in the values in formula
FVₙ =PMT( (1+i/m)ⁿ - 1 ) / (i/m) )
130,000 = PMT ( (1 + 0.06/2)³⁶ - 1 ) / (0.06/2) )
130,000 = PMT ( (1.03)³⁶ - 1 ) / (0.03) )
PMT = 130,000 * ( 0.03 / (1.03)³⁶ - 1 ) )
= $2,054.49
Hence, the amount must Lance Industries pay into the fund each period is $2,054.49.
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4. What function represents how much more water can be added to the bucket before it
overflows? Explain how you solved this problem.
The function that represents how much more water can be added to the bucket before it overflows is given as follows:
c(x) = 6x³ + 3x² - 2x - 2.
How to define the function?The function to calculate the space remaining in the pool is given by the subtraction of the capacity function by the function representing the current amount of water in the pool.
The functions in this problem are defined as follows:
f(x) = 8x³ + 4x² - 6x + 5.g(x) = 2x³ + x² - 4x + 7.Then the capacity function is obtained as follows:
c(x) = f(x) - g(x)
c(x) = 8x³ + 4x² - 6x + 5 - (2x³ + x² - 4x + 7)
Then the distributive property is applied to the negative sign as follows:
c(x) = 8x³ + 4x² - 6x + 5 - 2x³ - x² + 4x - 7.
Finally, the like terms are combined, that is, the terms that have the same variable and exponent, as follows:
c(x) = 6x³ + 3x² - 2x - 2.
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1. Let N be set of New England states {ME, NH, VT, MA, CT, RI }. (See map provided.) (Note that Maine is abbreviated as ME and Massachusetts as MA.) For each of the following parts, either give an example of a relation on the set of New England states N that has the noted properties, or else show that no such relation exists. (a) A relation R on N that is reflexive and symmetric but not transitive. (b) A relation S on N that is reflexive and transitive but not symmetric. (c) A relation T on N that is transitive and symmetric but not reflexive.
A relation R on N that is reflexive and symmetric but not transitive of example is { N , ME , MA } .
Given :
Let N be set of New England states {ME, NH, VT, MA, CT, RI }. (See map provided.) (Note that Maine is abbreviated as ME and Massachusetts as MA.) For each of the following parts, either give an example of a relation on the set of New England states N that has the noted properties, or else show that no such relation exists.
a )
A relation R on N that is reflexive and symmetric but not transitive of example is { N , ME , MA } .
b )
A relation S on N that is reflexive and transitive but not symmetric is { MA , CT , RI } .
c )
A relation T on N that is transitive and symmetric but not reflexive is { ME , NH , VT } .
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If f(a)=3a+5 and g(a) =a^2+4, find f(-2)-g(-2)
The value of find f(-2)-g(-2), if f(a) = 3a + 5 and g(a) = a² + 4 is -9.
What is function?In the case of a function from one set to the other, each element of X receives exactly one element of Y. The function's domain and co-domain are respectively referred to as the sets X and Y as a whole.
Given function:
f(a) = 3a + 5 and g(a) = a² + 4
Calculate the f(-2) - g(-2) by putting value -2 in both function
f(-2) = 3(-2) + 5 = -6 + 5
f(-2) = -1
g(-2) = (-2)² + 4
g(-2) = 4 + 4
g(-2) = 8
Hence, f(-2) - g(-2) = -1 - 8 = -9
Therefore, the value of find f(-2)-g(-2), if f(a) = 3a + 5 and g(a) = a² + 4 is -9.
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12. Total store sales are $15,000,000. Missy sportswear sales are $6,000,000 and
junior sportswear sales are $2,800,000. What is the percentage of sales for
each department?
Answer: $6,000,000 = 40%
$2,800,000 = 18.66666667%
Step-by-step explanation:
Divide the sales by the total sale.
Ex:
6,000,000/15,000,000 = .4
2,800,000/15,000,000 = .1866666667
2. A train leaves Alphaville at 13 27. It travels at an average speed of 56 Km/h.
If it arrives in Eastwich at 16 12, What is the distance between the two
towns?
Answer: 13 27 to 15 27 = 2 hours
15 27 to 16 00 = 33 mins
1600 to 16 12 = 12 mins
Total = 2hours + 33 mins + 12 mins = 2 hours 45 mins = 2.75 hours
Distance = Speed x time = 56 x 2.75 = 154 km
Answer: 154 km
Step-by-step explanation:
1/3 divided by 4=?
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
Answer:1/12
Step-by-step explanation:
3. consider all triangles formed by lines passing through the point ( 8 9 , 3) and both the x- and y-axes. find the dimensions of the triangle with the shortest hypotenuse.
The dimension of the triangle with the shortest hypotenuse is 2.98.
Here we have to find the dimensions of the triangle.
Given data:
the point given as (8/9, 3) and both passes through x and y-axis.
Let the slope of the line be m.
The line passing through (8/9,
Slope(m) = (y-3)/{x-(8/9)
y-3=m{x-(8/9)
y-mx=3–8m/9.
As this along with the coordinate axes make the right angled ∆, for the shortest hypotenuse
The x and y the intercepts for the line. So,
y/(3–8m/9)+x/{(3-8m/9)/(-m)}=1.
Where y intercept=(3–8m/9),
x intercept={(8m/9–3)/m.
So the length of hypotenuse;
Hypotenuse(h) = √[{(8m/9–3)/m}²+(3–8m/9)²]|
=|(8m/9–3)√(1+m²)/m
So the length of the hypotenuse is to be minimum for m, the hypotenuse is (19/9)×√2=2.98.
Therefore we get the hypotenuse as 2.98.
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Write an equation of the line that passes through (-1, 8) and is parallel to the line y = 6.
The equation of the line parallel to y = 6 and passing through (-1, 8) is y = 8.
What is slope?The slope or gradient of a line is a number that describes both the direction and the steepness of the line.
Given that, an equation of the line that passes through (-1, 8) and is parallel to the line y = 6.
Slope of the parallel lines are equal to each other, therefore, solving for c,
8 = -1x0 + c
c = 8
Hence, The equation of the line parallel to y = 6 and passing through (-1, 8) is y = 8.
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In triangle DEF, if m∠D = (2x)°, m∠E = (2x − 4)°, and m∠F = (x + 9)°, what is the value of x?
A: 35
B: 37
C: 44
D: 71
The required simplified value of the x is given as 5.
Given that,
In triangle DEF, if m∠D = (2x)°, m∠E = (2x − 4)°, and m∠F = (x + 9)°.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
for the triangle sum of the interior angles is equal to 180°.
∠D + ∠E + ∠F = 180
2x + 2x - 4 + x + 9 = 180
5x + 5 = 180
5x = 175
x = 35
Thus, the required simplified value of the x is given as 5.
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Questionaire below Image
Answer: the first one is 30 ml
The water in the swimming pool was as blue as the sky.
True or false. The author uses this figurative language to help the reader understand the color of the water.
True
False
Answer:
true
Step-by-step explanation:
the author compares the color of the water to the color of the sky. so that makes it figurative language.
hope this helps.
What is the length hypotenuse of a right triangle with legs 8 units and 6 units?; What is the length of the hypotenuse for a right triangle with leg a 8 and leg B 15?; How do you find the length of one leg of a right triangle?; How do you find the length of the legs of a right triangle with the hypotenuse?
The length of the hypotenuse with legs 8 units and 6 units is 10 units and with leg 8 units and 15 units is 17 units. We calculate the length of a leg of the right triangle by using formula [tex]h ^ {2} = p ^ {2} + b ^{2}[/tex]
What is a right-angle triangle?If one of the angles in a triangle is 90 degrees, the triangle is said to have a right angle. The term "right angle" refers to angles in right triangles that are 90 degrees. The side opposite in a 90° angle is the hypotenuse. The hypotenuse is always the longest side. The sum of the other two inner angles is 90 degrees.
What is the Pythagorean theorem for right angle triangle?The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry.
length of legs = 8 units and 6 units
hypotenuse = [tex]\sqrt {8 ^ {2}+6 ^ {2}}[/tex] = 10 units
length of legs = 8 units and 15 units
hypotenuse = [tex]\sqrt {8 ^ {2}+15 ^ {2}}[/tex] = 17 units
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A restaurant offers delivery for their pizzas the total cost is a delivery fee added to the price of the pizzas one costumer pays 25 to have 2 pizzas delivered another customer pays 58 to 5 pizzas how many pizzas are delivered to a customer who pays 80 explain or show your reasoning
The number of pizzas delivered to a customer who pays $ 80 is 7 pizzas
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the number of pizzas be x₁ = 2
Let the cost of 2 pizzas be y₁ = $ 25
So , the first point A ( x₁ , y₁ ) = A ( 2 , 25 )
Now ,
Let the number of pizzas be x₂ = 5
Let the cost of 5 pizzas be y₂ = $ 58
So , the second point B ( x₂ , y₂ ) = B ( 5 , 58 )
Therefore , the slope of the 2 points is given by
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 58 - 25 ) / ( 5 - 2 )
Slope m = 33 / 3
Slope m = 11
Therefore , the equation of the line is given by
y - y₁ = m ( x - x₁ )
Substitute the value of m in the equation , we get
y - 25 = 11 ( x - 2 )
y - 25 = 11x - 22
Adding 25 on both sides of the equation , we get
y = 11x + 3
So , the equation of line is y = 11x + 3
Now , the customer pays $ 80 , so to find the number of pizzas the customer gets can be calculated by substituting the value of y = 80
And ,
y = 11x + 3
80 = 11x + 3
Subtracting 3 on both sides of the equation , we get
11x = 77
Divide by 11 on both sides of the equation , we get
x = 7 pizzas
Therefore , the number of pizzas is 7 pizzas
Hence ,
The number of pizzas delivered to a customer who pays $ 80 is 7 pizzas
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TT D (t) = 10 + 4.9 cos ~t 6 The function D defined above models the depth, in feet; of the water t hours after 12 A.M. in a certain harbor: Which of the following presents the method for finding the instantaneous rate of change of the depth of the water; in feet per hour; at 6 AM ? A D(6)_D(O) 6_0 S 1.633 B D (6) = 0 D"' (6) = 1.343 D(6) = 5.100'
The method for finding the instantaneous rate of change of the depth of the water; in feet per hour; at 6 AM is B. D' ( 6 ) = 0 .
Given :
The function D ( t ) = 10 + 4.9 cos ( pi/6 * t )
D is defined above models the depth, in feet, of the water t hours after 12 am. Which of he following shows the method for finding the instantaneous rate of change of the depth of the water, in feet per hour, at 6 am .
Differentiate :
D'( t ) = -4.9 sin ( πt / 6 ) ( π / 6 )
D'( 6 ) = -4.9 sin ( π ) ( π / 6 )
we know that
sin ( π ) = 0
so D'( 6 ) = 0
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find total amount to be repaid. round to nearest cent as needed.
The total amount to be repaid by Neema will be $4135.50
How to calculate the total amount?It was illustrated that Neema bought appliances that cost $3805 at an interest charge of 5% and she will pay back in two years.
Since there is a $500 down payment, the remaining amount will be:
= $3805 - $500
= $3305
Therefore, the interest will be:
= PRT
= $3305 × 5% × 2
= $330.50
Therefore, total amount will be:
= $3305 + $500 + $330.50
= $4135.50
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the following expression is being factored. select the two values(with the correct signs) that will fill in the gaps of the parentheses.
x^2 - 10x + 24 = (x ) (x )
-4
+2
+12
-12
+4
+6
-2
-6
Answer:
-4, -6
Step-by-step explanation:
You want the constants that go into the binomial factors of x² -10x +24.
FactorsThe binomial constants used in the factors must have ...
a product of +24
a sum of -10.
The positive product means the two factors have the same sign. The negative sum tells you both signs are negative. The negative answer choices are -2, -4, -6. The only pair with a sum of -10 and a product of +24 is -4 and -6.
= (x -4)(x -6)
a quasi-experiment with one treatment and one control group that measures the dependent variable only once press space to open
A quasi-experiment with one treatment and one control group that measures the dependent variable only nonequivalent control group posttest only design.
The quasi experiment design is defined as the attempt to produce the cause and effect relationship by using different types of criteria except randomization
The dependent variable is the variable that the value of this variable affected by the other variables
The treatment is defined as the any independent variable that affected by the experimenters.
Here the quasi-experiment with one treatment and one control group that measures the dependent variable only once.
Therefore, this is a nonequivalent control group posttest only design
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Roberto's employer offers a sliding paid vacation. when he started work, he was given three paid days of vacation. For each six-month period he stays at the job, his vacation is increased by two days. Let x represent the number of 6-month periods worked and y represent the total number of paid vacation days. Write an equation that modes the relationship between these two variables.
Answer:
telecomunication of te following
an advantage of the exponential smoothing method over the moving average method is that it assigns exponentially weights as the observations get older.
Exponential smoothing of time collection records assigns exponentially lowering weights for latest to oldest observations.
In different words, the older the records, the much less priority (“weight”) the records is given; more moderns records is visible as extra applicable and is assigned extra weight. Smoothing parameters (smoothing constants),denoted through α, decide the weights for observations.
The simple formulation is:
St = ayt-1 + (1 - a) S-1
Where:
α = the smoothing constant, a fee from zero to 1. When α is near zero, smoothing takes place extra slowly. Following this, the satisfactory fee for α is the only that outcomes withinside the smallest suggest squared error (MSE).and t = time period.
One of the blessings of Exponential smoothing is ,the forecast may be built the use of most effective 3 values.
Only 3 portions of records are required for exponential smoothing methods.
1. It desires the forecast for the maximum latest time period.
2. It desires the real fee for that point period.
3. It desires the fee of the smoothing constant, a weighting thing that displays the load given to the maximum latest records values.
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The table to the right shows binned data for the percentages of high school graduates who took a national ___ in 2016 among the 50 states and the District of Columbia. Make a histogram of the data.Test Takers by State Percentage of high school graduates Number of states s 20% 2 21-40% 13 41-60% 4 61-80% 7 81-100% 25 O A. 0 B. O C. D. 30- a Number of states Number of states 0 0 100 Percentage of students 100 Percentage of students 0 100 Percentage of students 0- 0 100 Percentage of students
Number of states , 100 Percentage of students 0- 0 100 Percentage of students 20 21- 40 41- 60 61- 80 81- 100
1. Draw a horizontal axis with percentages of students (0 - 100%) marked along the axis.
2. Draw a vertical axis with number of states (0 - 25) marked along the axis.
3. Divide the horizontal axis into sections, with each section corresponding to one of the percentage ranges in the table (20%, 21-40%, 41-60%, 61-80%, 81-100%).
4. For each section, draw a rectangle with a height that corresponds to the number of states in that range. For example, for the 81-100% section, the rectangle should have a height of 25.
5. Label each rectangle with the corresponding percentage range.
The final result should be a histogram that shows the percentage of high school graduates who took a national test in 2016 among the 50 states and the District of Columbia.
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Flour is sold in 3-pounds bags.how many pounds are in 7 bags.
Answer: 21
Step-by-step explanation: multiply 7 by 3, which = 21
Next (1 point) A quiz consists of 20 multiple-choice questions, each with 6 possible answers. For someone who makes random guesses for all of the answers, find the probability of passing if the minimum passing grade is 50 %. P(pass)
The probability of passing if the minimum passing grade is 50 %. P(pass) is 0.000035 .
Given :
A quiz consists of 20 multiple - choice questions, each with 6 possible answers. For someone who makes random guesses for all of the answers .
Probability :
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.
Binomial problem with n = 20 and p = 1/6 , q = 5/6
50 % of 20 = 10
P ( x = 10 ) = C ( 20 , 10 ) ( 1/6 )^10 ( 5/6 )^10
= 184756 * ( 1/6 )^10 ( 5/6 )^10
= 0.000035
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The Washington Wheat Farmers Club is studying the impact of rising grain prices on their members' planting habits. The club members produce an average of 150 million bushels of wheat per year, with a standard deviation of 18 million bushels. The club takes a random sample of 35 years to create a statistical study. Identify each of the following, rounding to the nearest hundredth when necessary:
Provide your answer below: u= million bushels
a= million bushels n= 0 - million bushels
0 = LA million bushels
Sampling distribution of mean, Sampling distribution of proportion and T-distribution.
How does sampling distribution work?An example of a sampling distribution is a probability distribution of a statistic that is derived by repeated sampling of a particular population. It describes a variety of potential possibilities for a statistic, such the mean or mode of some variable in a population.
Give an example of sampling distribution.When you repeat your survey or poll for all potential samples of the population, you get the sampling distribution of a proportion. For instance, you may conduct many polls rather than asking 1000 cat owners which cat food they prefer.
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Answer:
μ = 150
σ = 18
n = 35
μx¯ = 150
σx¯ = 3.04
Step-by-step explanation:
We are given population mean μ=150 and population standard deviation σ=18, and want to find the mean and standard error of the sampling distribution, μx¯ and σx¯ for samples of size n=36.
By the Central Limit Theorem, the means of the two distributions are the same:
μx¯=μ=150
To find the Standard Deviation of the sampling distribution, we divide the population standard deviation by the square root of the sample size:
σx¯=σn−−√=1835−−√≈3.04
suppose that and use phasors to reduce the sum to a single term of the form draw a phasor diagram, showing and state the phase relationships between each pair of these phasors
Answer:
I hope the best for you
Step-by-step explanation:
have a good day :)!!
what was the mistake that was made?
Answer:
In step 2 you would multiply both sides by 2 not divide by 2
Step-by-step explanation:
1/2w=30
*2 *2
w=60
Answer:
The mistake is between Step 1 and Step 2.
Step-by-step explanation:
Leon is isolating the variable, w. In this case, he should have multiplied 2 to both sides of the equation to isolate the variable, w.
[tex]2 * (\frac{1}{2})w = 3 * 2\\ w = 3 * 2\\w = 6[/tex]
For the whole question
1) Add 12 to both sides of the equation:
[tex]\frac{1}{2} w - 12 = 18\\\frac{1}{2} w - 12 (+12) = 18 (+12)\\\frac{1}{2} w = 18 + 12\\\frac{1}{2} w = 30[/tex]
2) Multiply 2 to both sides of the equation:
[tex](2 *) (\frac{1}{2}w) = 30 (* 2)\\w = 30 * 2\\w = 60[/tex]
Learn more about solving for variables, here:
https://brainly.com/question/29747199
Need some help pls. Amanda needs 3 quarters for the washing machine and 2 quarters for the dryer for a complete load at the laundromat. Which function shows the relationship between the number of complete loads of laundry (x) and the total number of quarters needed (y)?
1 .y= x + 5
2.y= 3/2x
3.y= 3x + w
4 y= 5x
Answer:
y=5x
Step-by-step explanation:
Because we already know we need atleast 5 quarters to complete a full load (Wash and dry) so we would multiply that number by how many loads were doing (x) and y is the amount we need. For example five loads is y=5x5 and then we can find y which would be y=25
