You hire 2 students to deliver takeout menus around town. One student (Darla), delivers 350 menus in 2 hours, and another student (Drew, delivers 510 in 3 hours. Who works the faster?
Answers
Darla is faster she gets more done in less time yes drew has a higher total but he worked a extra hour
Related Questions
Please help I have trouble on these...
Answers
The value of a is 5, b is 4, c is 0, d is 3, e is 6 and R is 6 after following the long division method.
According to the question,
We have to divide 430 by 8 by following the long division method.
Note that when we follow long division method then the number by which we are dividing (divisor) is to be multiplied in such a way that the result remains less than the number in the dividend.
Now, we will solve it step by step.
In dividing 43 by 8, we have to multiply 8 by 5. Then, we get 40.
So, we have a = 5, b = 4 and c = 0.
Now, after this we have 30 and the number that we get after multiplication is 24. So, 3 has to be multiplied in 8 to get 24.
So, we have d = 3.
Now, when we will subtract 24 from 30, we will get 6.
So, we have e = 6.
And e is also the remainder, R. So, we have R = 6.
Hence, the values of a, b, c, d, e, and R are 5, 4, 0, 3, 6, and 6 respectively.
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The estimated regression equation for a model involving two independent variables and 10 observations follows. Here SST = 6,724.125, SSE = 507.75, sb 1= 0.0813, and sb 2= 0.0567. y ^ = 29.1270 + 0.5906x1 + 0.4980x2
a. Interpret the regression coefficients in this estimated regression equation
-A one-unit increase in x1 will lead to a 0.5906 unit increase in y . A one-unit increase in x2 will lead to a 0.498 unit increase in y.
b. Predict y when x1 = 180 and x2 = 310
-289.82
c. Find SSR
-6,216.375
d. Compute R2
-0.924
e. Compute
f. Compute MSR
g. Compute MSE
h. Use the F test to determine the overall significance of the relationship among the variables. Use α = 0.05.
i. Perform a t test for the significance of x1. Use a 0.05 level of significance.
j. Perform a t test for the significance of x2. Use a 0.05 level of significance.
k. Construct a 95% confidence interval for the coefficient of x2.
Answers
a. The computed regression equation's regression coefficients, which hold the other independent variable constant, show the impact of each independent variable on the dependent variable. Y will grow by 0.5906 units for every unit increase in x1 and by 0.498 units for every unit increase in x2, respectively.
b. The regression equation can be changed to predict y for the cases when x1 and x2 are 180 and 310, respectively: y = 29.1270 + 0.5906 * 180 + 0.4980 * 310 = 29.1270 + 105.208 + 156.38 = 290.82
c. The sum of squares resulting from regression (SSR) is denoted by the formula: SSR = _(i=1)n (y i - y)2.
SSR = 6,216.375.
d. R2 = SSR / SST is how it is calculated.
R2 = 6,216.375 / 6,724.125 = 0.924 e is the result of substituting the supplied values. A measurement of the overall significance of the link between the variables is the F statistic. The calculation is:
f. The following equation yields the mean square due to regression (MSR):
MSR is calculated as SSR / (r - 1), where r is the total number of independent variables. MSR = 6,216.375 / (2 - 1) = 6,216.375 / 1 = 6,216.375 is the result of substituting the provided numbers.
g. MSE = SSE / (n - r - 1), where n is the number of observations and r is the number of independent variables, is the formula for the mean square due to error (MSE).
MSE = 507.75 / (10 - 2 - 1) = 507.75 / 7 = 72.53. With (r - 1) and (n - r - 1) degrees of freedom, we must compare the derived F statistic to the crucial value of F at alpha = 0.05 in order to utilize the F test to assess the overall significance of the association between the variables at a significance level of alpha = 0.05.
The crucial value can be found via of F, we can employ a critical value table or a statistical software program. The critical value of F is roughly 3.35 when alpha = 0.05 and the degrees of freedom are (r - 1) = (2 - 1) = 1 in the numerator and (n - r - 1) = (10 - 2 - 1) = 7 in the denominator.
The numbers for MSR and MSE can be substituted to get the following result: F = MSR/MSE = 6,216.375 / 72.53 = 85.24
The estimated F statistic (85.24) is higher than the threshold value of 3.35, which allows us to reject the null hypothesis that there is no association between the variables at alpha = 0.05. This shows a meaningful relationship between the dependent variable and at least one of the independent variables.
i. We must compare the t statistic for x1 to the crucial value of t at alpha = 0.05 with (n - r - 1) degrees of freedom in order to conduct a t test for the significance of x1 at an alpha = 0.05 significance level. As stated by the formula: t = b1 / sb1
where b1 is the regression coefficient for x1 and sb1 is the coefficient's standard error. T = 0.5906 / 0.0813 = 7.26 is the result of substituting the supplied values.
Statistical software or a table of critical values can both be used to determine the critical value of t. The critical value of t at alpha = 0.05 with (n - r - 1) = (10 - 2 - 1) = 7 degrees of freedom is roughly 2.365.
The estimated t statistic (7.26) exceeds the critical value of 2.365, hence the null hypothesis that the coefficient for x1 is not substantially different from zero at alpha = 0.05 can be rejected.
j. To run a t test to determine whether x2 is significant atWith (n - r - 1) degrees of freedom and a significance level of alpha = 0.05, we must compare the t statistic for x2 to the critical value of t. The formula for the t statistic for x2 is: t = b2 / sb2, where b2 is the x2 regression coefficient and sb2 is the coefficient's standard error. When the specified values are substituted, the following results are produced:
t = 0.4980 / 0.0567 = 8.79
Statistical software or a table of critical values can both be used to determine the critical value of t. The critical value of t at alpha = 0.05 with (n - r - 1) = (10 - 2 - 1) = 7 degrees of freedom is roughly 2.365.
As a result of the calculated t statistic (8.79) exceeding the crucial value of 2.365, we
can disprove the null hypothesis that the coefficient for x2 at alpha = 0.05 is not statistically different from zero.
k. The t statistic and the coefficient's standard error can be used to create a 95% confidence interval for the coefficient of x2. B2 +/- t * sb2 yields the confidence interval.
The values are replaced to yield: 0.4980 +/- 2.365 * 0.0567 = (0.3778, 0.6182)
This suggests that we have a 95% confidence that the true value of the x2 coefficient falls inside the given range (0.3778, 0.6182).
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A tank in the shape of a hemisphere has a diameter of 24 feet. If the liquid that fills the tank has a density of 92.5 pounds per cubic foot, what is the total weight of the liquid in the tank, to the nearest full pound?
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The total weight of the liquid in the tank is approximately 12,628 pounds.
To calculate the weight of the liquid, we need to determine the volume of the hemisphere and then multiply it by the density of the liquid. The formula for the volume of a hemisphere is V = (2/3)πr³, where r is the radius of the hemisphere.
In this case, the diameter of the tank is given as 24 feet, so the radius is half of that, which is 12 feet. Plugging this value into the formula, we get V = (2/3)π(12)³ ≈ 904.78 cubic feet.
Finally, we multiply the volume by the density of the liquid: 904.78 cubic feet * 92.5 pounds per cubic foot ≈ 12,628 pounds. Therefore, the total weight of the liquid in the tank is approximately 12,628 pounds.
In summary, to calculate the weight of the liquid in the tank, we first determine the volume of the hemisphere using the formula V = (2/3)πr³. Then, we multiply the volume by the density of the liquid.
By substituting the given diameter of 24 feet and using the appropriate conversions, we find that the total weight of the liquid is approximately 12,628 pounds.
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Write an inequality for the graph
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The inequality that represents the line in the figure will be y > - (2/3) x + 3.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
From the figure, the points of the line are (0, 3) and (3, 1). And the region above the line is a consideration. Then the equation of the line is given as,
(y - 3) > [(3 - 1) / (0 - 3)](x - 0)
Simplify the equation, then we have
(y - 3) > [(3 - 1) / (0 - 3)](x - 0)
(y - 3) > - (2/3)x
y > - (2/3) x + 3
The disparity that addresses the line in the figure will be y > - (2/3) x + 3.
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A freight and passenger train share the same track. The average speed of the freight train is 45 mph, whereas that of the passenger train is 70 mph. The passenger train is scheduled to leave 20 minutes after the freight train departs from the same station. Determine the location where a siding would need to be provided to allow the passenger train to pass the freight train. Also determine the time it takes for the freight train to arrive at the siding. As a safety precaution, the separation headway between the two trains at the siding should be at least equal to 6 minutes.
Answers
Answer:
The first siding should be located at 30 miles
The time for the freight to arrive at the siding is 40 minutes
Step-by-step explanation:
From the given information:
Let \(T_f\) represent the time for the freight train
Also, let \(T_P\) represent the time at which the passenger train reach the location
Let Y represents the location where the location of the siding of the track needed to take place.
Thus, for freight time:
\(T_f = \dfrac{Y}{45} --- (1)\)
The siding location is:
\(T_P = \dfrac{2}{6}+\dfrac{Y}{70}\)
\(T_P =0.333+\dfrac{Y}{70} --- (2)\)
To determine Y:
\(T_P -T_f = 0.1 --- (3)\)
replacing the value of \(T_f\) and \(T_P\) in the above equation (3), we have:
\(0.333+\dfrac{Y}{70} - \dfrac{Y}{45} =0.1\)
collecting like terms, we have:
\(\dfrac{Y}{70} - \dfrac{Y}{45} =0.1-0.333\)
\(\dfrac{45Y- 70Y}{3150} =-0.233\)
\(\dfrac{-25Y}{3150} =-0.233\)
- 25Y = -0.233 × 3150
- 25Y = -733.95
Y = -733.95/-25
Y = 29.36 miles
Y \(\simeq\) 30 miles to the nearest whole number
Thus, the first siding should be located at 30 miles
To estimate the time for the fight to arrive the siding, we replace 30 miles for \(T_f\) in equation (1).
Then, we have:
\(T_f = \dfrac{Y}{45}\)
\(T_f = \dfrac{30}{45}\)
\(T_f =0.667\ hr\)
\(T_f =(0.667 \times 60 )minutes\)
\(T_f =40.2 \ minutes\)
\(\mathsf{T_f \simeq 40 \ minutes}\)
Thus, the time for the freight to arrive at the siding is 40 minutes
What is the answer?
Answers
Answer:
side AC
Step-by-step explanation:
is the opposite angle B because it is the furthest you can get on the triangle to be away from point B.
solve the equation 5a+5=30
Answers
Answer: a = 5
Step-by-step explanation:
5a + 5 = 30
-5 -5
5a = 25
/5 /5
a = 5
Answer:
a=5
Step-by-step explanation:
30-5=25
25÷5=5
a=5
Use the product-to-sum identities to rewrite the following expression as a sum or difference.
2sin(2x)sin(2x)
Answers
The sum form of the trigonometric function 2 · sin 2x · sin 2x by product-to-sum formula is 1 - cos 4x.
How to transform a product of trigonometric functions into a sum of trigonometric functions
Herein we find the definition of a trigonometric function defined as a product of trigonometric function, this can be transformed into a sum of trigonometric functions by means of the following product-to-sum formula:
sin α · sin β = [cos (α - β) - cos (α + β)] / 2
First, write the trigonometric function defined in the statement:
2 · sin 2x · sin 2x
Second, use the product-to-sum formula by considering α = β = 2 · x:
2 · [[cos (2x - 2x) - cos (2x + 2x)] / 2]
cos 0 - cos 4x
1 - cos 4x
Third, write the resulting expression:
2 · sin 2x · sin 2x = 1 - cos 4x
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Refer to the number line. Find the coordinate of point C that’s is 7/8 of the distance from M to J
Answers
Answer:
C = 16
Step-by-step explanation:
Given point M=2 and J=18 on a number line, you want the coordinate of point C that is 7/8 of the distance from M to J.
DistanceThe distance from M to J is the difference of their coordinates:
J -M = 18 -2 = 16
7/8 of that distance is ...
(7/8)(16) = 7(16/8) = 7(2) = 14
You are being asked for the coordinate of the point that is 14 units from M in the direction of J.
PointTo find the coordinate of C, we add the desired distance to the coordinate of M:
C = M +14
C = 2 +14 = 16
The coordinate of point C is 16.
Create the smallest pyramid possible with the tool, and record the values of the base length, base width, height, and volume (in terms of π). Then scale the original pyramid by the given scale factors, and record the resulting volumes (in terms of π), to verify that the formula V' = V × k3 holds true for a pyramid. Please fill in ALL the blanks in the attached table. (i.e. base length, base width, height and volume) Thanks!!!!
Answers
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Can you help me understand how to do this correctly?
Answers
Let's label the arcs in the circle to be precise.
From the illustration, we can see that the inscribed angle x has intercepted the Arc AB.
Based on the theorem, the measure of the inscribed angles is half the measure of its intercepted arc. Hence, we can say that:
\(m\angle x=\frac{1}{2}m\angle arcAB\)To find the measure of angle x, we need to know first the measure of arc AB.
Notice in the diagram, Arc AB + Arc BC is a semicircle. The total measure of the angles in a semicircle is 180 degrees.
Since we know that Arc BC = 122 degrees, we can subtract this from 180 to get the measure of Arc AB.
\(\begin{gathered} \text{ArcAB}+\text{ArcBC}=180 \\ \text{Arc AB}=180-ArcBC \\ \text{Arc AB}=180-122 \\ \text{Arc AB}=58 \end{gathered}\)Hence, the measure of Arc AB is 58 degrees.
Going back to the equation we have formed based on the theorem about inscribed angles, we can plug in the measure of Arc AB and solve for x.
\(\begin{gathered} m\angle x=\frac{1}{2}m\angle ArcAB \\ m\angle x=\frac{1}{2}(58) \\ m\angle x=29 \end{gathered}\)Hence, the measure of the inscribed angle x is 29 degrees.
Please help anyone !!
Answers
Answer:
I cant see
Step-by-step explanation:
909()
lcm of 5,12 and 20????,
Answers
Answer: 60
Step-by-step explanation:
QUICK!!
Convert r = 6cscθ to rectangular form.
Answers
Answer:
x2+y2−6y=0
Step-by-step explanation:
4x+5(7x-3)=9(x-5)
x????
Answers
Answer:
x=-1
Step-by-step explanation:
4x+35x-15=9x-45
39x-15=9x-45
39x-9x=-45+15
30=+-30
x=-1
Answer:
\( \sf \: x = - 1\)
Step-by-step explanation:
Given equation,
→ 4x + 5(7x - 3) = 9(x - 5)
Now the value of x will be,
→ 4x + 5(7x - 3) = 9(x - 5)
→ 4x + 35x - 15 = 9x - 45
→ 39x - 15 = 9x - 45
→ 39x - 9x = -45 + 15
→ 30x = -30
→ x = -30 ÷ 30
→ [ x = -1 ]
Hence, the value of x is -1.
4. A line with a slope of -2 passes
through the point (3,-1). Which of
the following is the equation of
the line?
O y = 3x – 2
O y= -4x – 2
O y = -2x + 5
O y=-2x + 1
Answers
Answer:
y=-2x+5..…...........
5 ten thousands 8 thousands 3 hundreds 7 tens 4 ones in standard
Answers
Step-by-step explanation:
Just : 5,8374
To simplify the expression below, what should you do first?
4y-yx(3-7y)+5+2(8-y)
Combine all like terms.
Subtract inside parentheses.
Subtract y from 4y.
Distribute the –y and 2 to the terms in the parentheses.
Answers
Answer:
4y - yx(3-7y) + 5 + 2(8-y) equals to 7xy^2 − 3xy + 2y + 21
Step-by-step explanation:
1. Multiply numbers inside the parentheses.
4y - yx(3-7y) + 5 + 2(8-y)= 4y − 3yx + 7y^2x + 5 + 16 − 2y
2. Then combine all like terms
4y − 3yx + 7y^2x + 5 + 16 − 2y
4y - 2y = 2y
2y − 3yx + 7y^2x + 5 + 16
5 + 16 = 21
2y − 3yx + 7y^2x + 21
3. After combining like terms, simplify.
2y − 3yx + 7y^2x + 21
Move y^2
2y − 3yx + 7xy^2 + 21
Move 2y
− 3yx + 7xy^2 + 2y + 21
Reorder - 3yx and 7xy^2 (7xy^2 is more bigger than -3yx)
7xy^2 − 3yx + 2y + 21
4. Final answer = 7xy^2 − 3xy + 2y + 21
Answer:
First answer is DISTRIBUTE and second answer is 7y^2-y+21
Step-by-step explanation:
A kids pool had a small opening through which water sometimes leaked out. Water was poured into the pool from time to time. The graph shows the amount of water in the pool (y), in gallons, at certain times (x), in hours.
Which of the following statements best describes the amount of water in the pool ?
1) it is increasing during the time interval 4
2) it is increasing during the time interval 10
3) it is decreasing during the time interval 4
4) it is decreasing during the time interval 10
Answers
The best statement that describes the amount of water in the pool is that it is decreasing during the time interval 4. That is option 3.
How to determine the the interval of the water in the pool?To determine the time interval of the water in the pool the following is carried out.
At 0 hour, the water is at the level of = 40 gallons
At 1 hour, the water decreased to = 25 gallons.
At 2 hours, the water decreased to = 10 gallons.
The water remained at a constant level till 4 hours.
Therefore, the amount of water in the pool is that it is decreasing during the time interval 4.
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Write five and three eighths as an improper fraction and as a mixed number. (1 point)
please help
Answers
Answer:
Five and three eights as an improper fraction is 43 over 8
Write a slope intercept equation for this situation.
A computer technician charges $60 to come to your house and $18 for each hour he works.
Answers
Answer:
y = 18x + 60
Step-by-step explanation:
The slope intercept equation is:
y = mx + b
For this problem:
y will represent the total cost of the technician
m will represent cost per hour
x will represent number of hours
b will represent the initial cost
With this in mind, we can plug these into our equation
y = 18x + 60
Answer:
in slope intercept this would look like y = 18x + 60
boys:total students = 2:9, girls = 21, boys =
Answers
Answer:
6 boys
Step-by-step explanation:
Subtract to find the total number of girls.
9 - 2 = 7 girls
Write a ratio from boys to girls.
2:7
Divide to find the scale factor.
21 / 7 = 3
Multiply to find the total number of boys.
3 * 2 = 6
Best of Luck!
Which is the equation of the line that passes through the point (2, -2) and has a slope of 3? A. y = 3x - 2 B. y = 3x - 8 C. y = 2x + 3 D. y = - 2x + 2
Answers
Answer:
y = m x + b standard equation for straight line
-2 = 3 *2 + b to satisfy above equation
b = -8
therefore
y = 3 x - 8
if x = 2 then y = -2
Employees of a painting service paint the interior walls of homes and office buildings. The following table shows the number of cans of paint the employees use, and the number of square feet they cover. which equation describes the relationship between the number of cans of paint used, and the number of square feet that are covered?
Answers
Answer:
Can you give the chart?
Step-by-step explanation:
Answer:
Y=375x
Step-by-step explanation:
Thats it
The summary of the payroll for the monthly pay period ending July 15 indicated the following:
Sales salaries $125,000
Federal income tax withheld 32,300
Office salaries 35,000
Medical insurance withheld 7,370
Social security tax withheld 10,200
Medicare tax withheld 2,550
Required:
Journalize the entries to record (a) the payroll and (b) the employer's payroll tax expense for the month. The state unemployment tax rate is 3.1%, and the federal unemployment tax rate is 0.8%. Only $25,000 of salaries are subject to unemployment taxes. Refer to the Chart of Accounts for exact wording of account titles.
Answers
The journal entries to record (a) the payroll and (b) the employer's payroll tax expense for the month are as follows:
Journal Entries:a) The payroll:
Debit Sales salaries $125,000
Debit Office salaries 35,000
Credit:
Federal income tax withholding payable 32,300
Medical insurance withholding payable 7,370
Social security tax withholding payable 10,200
Medicare tax withholding payable 2,550
Cash $107,580
To record the monthly payroll.b) The employer's payroll tax expense:
Debit Payroll Tax Expense $975
Credit:
Federal Unemployment Tax Payable $200
State Unemployment Tax Payable $775
To record the employer's payroll tax expense for the month.Data and Transaction Analysis:SUTA = 3.1% of $25,000 = $775
FUTA = 0.8% of $25,000 = $200
Sales salaries $125,000
Federal income tax withheld 32,300
Office salaries 35,000
Medical insurance withheld 7,370
Social security tax withheld 10,200
Medicare tax withheld 2,550
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please help me asap
Answers
Answer:
1. 619500m
2.meters
Step-by-step explanation:
Triangle DEF has vertices D(1,1), E(2,0), and F(0,4). It is transformed by a rotation 180 degrees about the origin followed by a dilation with a scale factor of 3. Find the coordinates of the vertices of triangle D”E”F”.
Answers
Check the picture below.
80 points!!
Graph
y+4=25(x−3)
Answers
Answer: Attached
Step-by-step explanation:
share the ration .....
Answers
Answer:
Tom: £166
Ben: £581
Step-by-step explanation:
In the ratio 2 : 7 there are 9 portions total (2 + 7 = 9).
£747 / 9 = £83
For Tom:
£83 * 2 = £166
For Ben:
£83 * 7 = £581
Checking our work:
Since the decimals are the same, this means the ratios are equal.
2/7 = 0.2857
166/581 = 0.2857
PLease help asap BRAINLIEST ANSWER
Given: line{AB}with point A (2,2) and the midpoint M( 4,-2)
Identify the coordinates of point `B.`
Given line `t` on the graph provided, choose all points that lie on the line that passes through point `P` and is perpendicular to line `t`.
Answers
Answer: (6,-6)
Step-by-step explanation:
To find the coordinates of point B, we can use the midpoint formula:
Midpoint formula: The midpoint M of a line segment with endpoints (x1, y1) and (x2, y2) is given by:
M = ((x1+x2)/2, (y1+y2)/2)
Here, we know that the midpoint M is (4, -2), and one endpoint A is (2, 2). Let B be the other endpoint, so we can use the midpoint formula to find B:
4 = (2+x2)/2 --> 8 = 2+x2 --> x2 = 6
-2 = (2+y2)/2 --> -4 = 2+y2 --> y2 = -6
Therefore, point B has coordinates (6, -6).
As for the second question, without a graph or information about the equation of line t and point P, it is not possible to determine which points lie on the line passing through P and perpendicular to t.