6. Leo walks his dog
7
8
mile. He walks his dog 3 times a day. Which of the following shows how repeated addition can be used to find how far Leo walks his dog every day?
Answer:
I haven't seen this question before, but the correct way to write it is 78+78+78=234
i need help plsssssssss
Answer:
d. 18
Step-by-step explanation:
16 families went on a trip which cost them Rs 2,16,352. How much did each
family pay?
Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522
Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.
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Answer:
Step-by-step explanation
1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.
Now let's check if this result is correct:
1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.
So we have shown that each family paid **Rs 13,522** for the trip
which of the following is equivalent to x^2 -5x +6
Hello!
x² - 5x + 6
= (x² - 2x) + (-3x + 6)
= x(x - 2) - 3(x - 2)
= (x - 2)(x - 3)
A coal company wants to determine a 95% confidence interval estimate for the average daily tonnage of coal that it mines. Assuming the company reports that the standard deviation of daily output is 200 tons, how many days should it sample so that the margin of error will be 39.2 tons or less?
Answer:
It should be 100 days sample so that the margin of error will be 39.2 tons or less
Step-by-step explanation:
We are given that A coal company wants to determine a 95% confidence interval estimate for the average daily tonnage of coal that it mines.
\(\alpha = 0.05\)
To Find two tailed critical value using Z table
\(Z_{\frac{\alpha}{2}}=Z_{\frac{0.05}{2}}=\pm 1.96\)
Margin of error = ME = 39.2
\(\sigma = 200\)
Formula : \(n = (\frac{Z_{\frac{\alpha}{2}} \times \sigma}{ME})^2\)
\(n = (\frac{1.96 \times 200}{39.2})^2\)
n=100
Hence it should be 100 days sample so that the margin of error will be 39.2 tons or less
Suppose a certain manufacturing company produces connecting rods for 4- and 6-cylinder automobile engines using the same production line. The cost required to set up the production line to produce the 4-cylinder connecting rods is $2,100, and the cost required to set up the production line for the 6-cylinder connecting rods is $3,500. Manufacturing costs are $13 for each 4-cylinder connecting rod and $16 for each 6-cylinder connecting rod. Hawkins makes a decision at the end of each week as to which product will be manufactured the following week. If a production changeover is necessary from one week to the next, the weekend is used to reconfigure the production line. Once the line has been set up, the weekly production capacities are 5,000 6-cylinder connecting rods and 8,000 4-cylinder connecting rods. Let
x4 = the number of 4-cylinder connecting rods produced next week
x6 = the number of 6-cylinder connecting rods produced next week
s4 = 1 if the production line is set up to produce the 4-cylinder connecting rods; 0 if otherwise
s6 = 1 if the production line is set up to produce the 6-cylinder connecting rods; 0 if otherwise
Required:
Using the decision variables x4 and s4, write a constraint that sets next week.
Answer:
Generally the constraint that sets next week are shown below
Generally the constrain that sets next week maximum production of connecting rod for 4 cylinder to W_4 or 0 is
\(x_4 \le W_4 * s_4\)
\(x_4 \le 5000 * s_4\)
Generally the constrain that sets next week maximum production of connecting rod for 6 cylinder to W_6 or 0 is
\(x_6 \le W_6 * s_6\)
\(x_6 \le 8,000 * s_6\)
Generally the constrain that limits the production of connecting rods for both 4 cylinder and 6 cylinders is
\(x_4 \le W_4 * s_6\)
=> \(x_4 \le 5000 * s_6\)
\(x_4 \le W_6 * s_4\)
=> \(x_4 \le 8000 * s_4\)
\(s_4 + s_6 = 1\)
The minimum cost of production for next week is
\(U = M_4 * x_4 + M_6 * x_6 + C_4 * s_4 + C_6 * s_6\)
=> \(U = 13x_4 + 16x_6 + 2000 s_4 + 3500 s_6\)
Step-by-step explanation:
The cost for the four cylinder production line is \(C_4 = \$2,100\)
The cost for the six cylinder production line is \(C_6 = \$3,500\)
The manufacturing cost for each four cylinder is \(M_4= \$13\)
The manufacturing cost for each six cylinder is \(M_6= \$16\)
The weekly production capacity for 4 cylinder connecting rod is \(W_4 = 5,000\)
The weekly production capacity for 6 cylinder connecting rod is \(W_6 = 8,000\)
Generally the constraint that sets next week are shown below
Generally the constrain that sets next week maximum production of connecting rod for 4 cylinder to W_4 or 0 is
\(x_4 \le W_4 * s_4\)
\(x_4 \le 5000 * s_4\)
Generally the constrain that sets next week maximum production of connecting rod for 6 cylinder to W_6 or 0 is
\(x_6 \le W_6 * s_6\)
\(x_6 \le 8,000 * s_6\)
Generally the constrain that limits the production of connecting rods for both 4 cylinder and 6 cylinders is
\(x_4 \le W_4 * s_6\)
=> \(x_4 \le 5000 * s_6\)
\(x_4 \le W_6 * s_4\)
=> \(x_4 \le 8000 * s_4\)
\(s_4 + s_6 = 1\)
The minimum cost of production for next week is
\(U = M_4 * x_4 + M_6 * x_6 + C_4 * s_4 + C_6 * s_6\)
=> \(U = 13x_4 + 16x_6 + 2000 s_4 + 3500 s_6\)
A relationship is represented by the equation y = x - 12 which of the following tables best represent the equation
A table that best represent the equation include the following: H. table H.
How to determine the table that best represent the equation?In order to determine the table that best represent the equation, we would have to substitute each of the values of x (x-values) into the linear function and then evaluate as follows;
When the value of x = 1 in table F, the linear function is given by;
y = x - 12
y = 1 - 12
y = -11 (False).
When the value of x = 0 in table G, the linear function is given by;
y = x - 12
y = 0 - 12
y = -12 (True).
When the value of x = 2 in table G, the linear function is given by;
y = x - 12
y = 2 - 12
y = -10 (False).
When the value of x = 0 in table H, the linear function is given by;
y = x - 12
y = 2 - 12
y = -10 (True).
When the value of x = 4 in table H, the linear function is given by;
y = x - 12
y = 4 - 12
y = -8 (True).
When the value of x = 6 in table H, the linear function is given by;
y = x - 12
y = 6 - 12
y = -6 (True).
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Help please!
Fully factorise
Answer:
a.8y³-6y
taking common
2y(4y²-3)
is a required answer
b.
3x²-20x+12
doing middle term factorization
3x²-18x-2x+12
3x(x-6)-2(x-6)
(x-6)(3x-2)
is a required answer .
Someone help
A)17/15
B)15/17
C)17
D)8/17
E)17/8
Answer:
B) 15/17
Step-by-step explanation:
You want the sine of acute angle A in the right triangle shown.
SineThe sine of the angle is the ratio ...
Sin = Opposite/Hypotenuse
We can go to the trouble to figure the hypotenuse, or we can choose the only suitable answer from the list provided. (It is the one marked already.)
The leg lengths of the triangle shown are 8 and 15, with leg 15 being opposite angle A. This is the first clue that the ratio will have 15 in the numerator. Only answer choice B matches.
CheckThe value of the sine function is never greater than 1, eliminating answer choices A, C, and E, leaving choices B and D.
Since the side opposite angle A is the longest of the two legs, we know that angle A is more than 45°, and its sine is more than √2/2. That means choice D can be eliminated, since it is less than 1/2.
The sine of angle A is 15/17.
<95141404393>
Your friend printed a picture of a regular 18-gon. She wants to cut the 18-gon into right triangles. If she divides the figure into 36 right triangles, what are the measures of the non-right angles of each triangle?
The measures of the non-right angles of each triangle are 40 degrees and 50 degrees.
The sum of the interior angles of a regular 18-gon can be found using the formula:
S = (n - 2) × 180 degrees
n is the number of sides of the polygon.
Substituting n = 18 we get:
S = (18 - 2) × 180 degrees
= 2880 degrees
The 18-gon into 36 right triangles need to draw 18 lines from the center of the polygon to its vertices dividing the polygon into 36 congruent sectors each with a central angle of 360 degrees / 18 = 20 degrees.
Each sector is an isosceles triangle with two sides of equal length radiating from the center of the polygon.
The vertex angle of each isosceles triangle is equal to twice the central angle or 40 degrees.
Since the vertex angle of a right triangle is 90 degrees the two non-right angles of each right triangle are 40 degrees and 50 degrees.
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4
Number of Years
m
N
1
16
18
18°
19°
22°
30°
20
Mark this and return
28
22
24
26
Average Daily Temperature
30
The mean of the temperatures in the chart is 24° with a standard deviation of 4°. Which temperature is within one
standard deviation of the mean?
32
Save and Exit
Next
Submit
The temperature of 30° is within one standard deviation of the mean.
To determine which temperature is within one standard deviation of the mean, we need to consider the range that falls within one standard deviation above and below the mean.
Given that the mean temperature is 24° with a standard deviation of 4°, one standard deviation above the mean would be 24° + 4° = 28°, and one standard deviation below the mean would be 24° - 4° = 20°.
Looking at the temperatures in the chart, we can see that the temperature of 30° is within one standard deviation of the mean. It falls within the range of 28° (one standard deviation above the mean) and 20° (one standard deviation below the mean).
Therefore, the temperature of 30° is within one standard deviation of the mean.
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Some students are making muffins for a fundraiser. They have already made 80 muffins
and they can make 30 muffins in an hour. How many additional hours would they spend
to make 380 muffins?
Answer:
10 hours
Step-by-step explanation:
380 - 80 = 300
30 : 1 = 300 : x
x = 300 / 30
x = 10
The dot plot displays data from 14 random samples, each consisting of 30 middle school students. Each dot represents the mean number of sports played per year by students in the sample.
Which number best represents the mean number of sports played by middle school students? Write your answer as a decimal to the nearest tenth.
__ sports
Part B
Find and interpret the variability in the distribution. Round the MAD to the nearest hundredth.
The MAD is about_____ sport(s). The majority of the sample means are within ______ sport(s) of the mean. This means our estimate is likely not far off from the true mean.
The best representation of the mean number of sports played by middle school students is 2.75 sports and the MAD is about 0.84 sports.
To find the best representation of the mean number of sports played by middle school students, we need to calculate the median of the given data.
The median represents the central tendency of the data and is less affected by extreme values.
Arranging the means of the samples in ascending order, we have:
1, 1, 2, 2.5, 3, 3, 3.5, 4
Since there are eight values, the median will be the average of the fourth and fifth values:
(2.5 + 3) / 2 = 2.75
Variability in the Distribution
Summing up the absolute deviations:
1.75 + 1.75 + 0.75 + 0.25 + 0.25 + 0.25 + 0.75 + 1.25 = 6.75
To find the MAD, we divide the sum of the absolute deviations by the total number of data points:
MAD = 6.75 / 8 = 0.84
Therefore, the MAD is about 0.84 sports.
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Omar wants to measure the width of a river. He marks off two right triangles, as shown in the figure. The base of the larger triangle has a
length of 64 m, and the base of the smaller triangle has a length of 31 m. The height of the smaller triangle is 19.8 m. How wide is the
river? Round your answer to the nearest meter. (The figure is not drawn to scale.)
19.8 m
River
A
31 m
64 m
?
A
m
X
Ś
Answer:
41 meters
Step-by-step explanation:
\(\frac{31}{64}\) = \(\frac{19.8}{x}\)
31x = (19.8)(64)
31x = 1267.2 Divide both sides by 31 and round
x = 41
Find the equation of a circle with the Endpoints of a diameter: (11, −5), (3, 15)
Answer:
(x - 7)² + (y - 5)² = 116
Step-by-step explanation:
equation of a circle:
(x - h)² + (y - k)² = r²
where (h,k) is the centre and r is the radius
centre is the midpoint of the diameter:
(h,k) = (11+3)/2 , (-5+15)/2
(h,k) = (7,5)
diameter = sqrt[(15--5)² + (3-11)²]
diameter = sqrt(464) = 4sqrt(29)
radius = ½ diameter
radius = 2sqrt(29)
r² = 116
equation:
(x - 7)² + (y - 5)² = 116
Answer:
[x-7]^2 + [y-5]^2= 116
Step-by-step explanation:
General equation of a circle is
[x2 - xo]^2 + [y2- yo]^2 = r^2
Where xo and yo are coordinates of the circle at the origin.
But xo = [x2 + x1]/2
= 11 + 3 / 2 = 7
yo = [y2 + y1] / 2 = [-5 + 15] /2 = 5
x2= 11, x2= 3; y1= -5, y2= 15
[11-7]^2 + [15-5]^2 =
16+ 100=116 = r^2
From the expression below;
[x2-xo]^2 + [y2-yo] ^2 = r^2
[x1-xo]^2 + [y1-yo] ^2 = r^2
[x-7]^2 + [y-5]^2= 116
Pleassssssseeeeee hhheeelllppp
A= -2+(-3)×(-8+4)
-2+(-3)×(-4)
-2+12=10
B=-9+8×7+(-12)
-9+56-12=35
C=8-2= -4
D=8÷2=4
E= -4-35= -39
F=153
Find a . b.
-
a = <2,4>, b = <2, 5>
<4,9>
24
<4, 20>
16
Answer: What is this
Step-by-step explanation:
So sir or ms but um i cannot read this and i am a Harvard Graduate.
Signature of the Principle investigator on the final proposal implies his responsibility for the following except
The signature of the Principal Investigator on the final proposal does not imply responsibility for the availability of funding or the financial aspects of the project.
The signature of the Principal Investigator (PI) on the final proposal does not imply responsibility for certain aspects of the project beyond their control or expertise. While the PI plays a crucial role in leading and overseeing the research project, there are certain areas for which they may not bear direct responsibility.One aspect the PI may not be responsible for is the availability of funding. Although they may have been involved in securing the initial funding or writing the budget proposal, the final decision and availability of funds typically lie with funding agencies, institutions, or sponsors. The PI's signature on the proposal signifies their commitment to the project but does not guarantee funding.Additionally, the PI may not be accountable for the technical or scientific success of every aspect of the project. Research projects often involve interdisciplinary collaborations and multiple team members who contribute their expertise. The PI's signature signifies their leadership and overall responsibility, but they rely on the expertise and contributions of other team members for specific tasks and outcomes.Furthermore, the PI may not bear sole responsibility for external factors that can impact the project, such as changes in regulations, unforeseen events, or external market conditions. While they may adapt the project's direction and approach as needed, these external factors are beyond their direct control.In summary, the signature of the Principal Investigator on the final proposal does not imply responsibility for funding availability, technical success of every aspect, or external factors that may influence the project. The PI's role is primarily centered around leadership, coordination, and overall project management.The complete question should be What does the signature of the Principal Investigator on the final proposal NOT imply responsibility for?
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Gathering information from individuals in a sample is known as _______________. A. data dumping B. data collection C. data diving D. data displaying
Gathering information from individuals in a sample is known as : Data collection. ( B )
What is statistics?Statistics is the science of collecting and analyzing data in quantities, especially for the purpose of informing.
Analysis:
sample collection is the first approach to analyzing any information.
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The James used their sprinkler for 40 hours last month and the Jenkins used their sprinkler for 35 hours. The total output of the two houses was 1525 L. If their combined rate of usage was 40 L/hr, what is the rate of usage for each house?
Answer:
Step-by-step explanation:
.................8908989
HELP PLS
14.2=2(-5.8+t)
Answer: t= 12.9
Step-by-step explanation:
14.2=-11.6+2t
25.8=2t
t=12.9
Use the information below to complete the problem: and Perform the operation and show that it results in another rational expression. p(x) * q(x)
Charlie the trainer has two solo workout plans that he offers his clients: Plan A and plan B. Each client does either one or the other (not both). On Wednesday there were 5 clients who did plan A and 6 who did plan B. On Thursday there were 3 clients who did plan A and 2 who did plan B. Charlie trained his Wednesday clients for a total of 7 hours and his Thursday clients for a total of 3 hours. How long does each of the workout plans last?
Plan A lasts for 0.5 hours, and Plan B lasts for 0.75 hours based on the given information and the solution to the System of equations.
To determine the duration of each workout plan, let's assume that both Plan A and Plan B have a fixed duration. Let's denote the duration of Plan A as "x" hours and the duration of Plan B as "y" hours.
From the given information, we can form the following equations:
On Wednesday:
5 clients did Plan A, so the total duration for Plan A is 5x hours.
6 clients did Plan B, so the total duration for Plan B is 6y hours.
The total training duration on Wednesday is 7 hours, so we have the equation: 5x + 6y = 7 ... Equation (1)
On Thursday:
3 clients did Plan A, so the total duration for Plan A is 3x hours.
2 clients did Plan B, so the total duration for Plan B is 2y hours.
The total training duration on Thursday is 3 hours, so we have the equation: 3x + 2y = 3 ... Equation (2)
We now have a system of equations (Equation 1 and Equation 2) that we can solve to find the values of x and y.
Multiplying Equation (1) by 2 and Equation (2) by 5 to eliminate the y variable, we get:
10x + 12y = 14 ... Equation (3)
15x + 10y = 15 ... Equation (4)
Multiplying Equation (3) by 3 and Equation (4) by 2 to create a new system of equations:
30x + 36y = 42 ... Equation (5)
30x + 20y = 30 ... Equation (6)
Subtracting Equation (6) from Equation (5), we can eliminate the x variable:
(30x + 36y) - (30x + 20y) = 42 - 30
16y = 12
y = 12/16
y = 0.75
Substituting the value of y into Equation (2), we can solve for x:
3x + 2(0.75) = 3
3x + 1.5 = 3
3x = 3 - 1.5
3x = 1.5
x = 1.5/3
x = 0.5
Therefore, the duration of Plan A is 0.5 hours, and the duration of Plan B is 0.75 hours.
Plan A lasts for 0.5 hours, and Plan B lasts for 0.75 hours based on the given information and the solution to the system of equations.
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Aaquib can buy 25 liters of regular gasoline for $58.98 or 25 liters of permimum gasoline for 69.73. How much greater is the cost for 1 liter of premimum gasolinz? Round your quotient to nearest hundredth. show your work :)
The cost for 1 liter of premium gasoline is $0.43 greater than the regular gasoline.
What is Cost?This is referred to as the total amount of money and resources which are used by companies in other to produce a good or service.
In this scenario, we were given 25 liters of regular gasoline for $58.98 or 25 liters of premium gasoline for $69.73.
Cost per litre of premium gasoline is = $69.73 / 25 = $2.79.
Cost per litre of regular gasoline is = $58.98/ 25 = $2.36.
The difference is however $2.79 - $2.36 = $0.43.
Therefore the cost for 1 liter of premimum gasoline is $0.43 greater than the regular gasoline.
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Enter your answer as a simplified fraction by filling in the boxes.
Answer:
51/40
Step-by-step explanation:
-1 3/5 - (-2 7/8)
-8/5 - (-23/8)
-8/5 + 23/8
-64/40 + 115/40
-64+115/40
51/40
Calculate the loss on selling 50 shares of stock originally bought at 13 3/4 and sold at 12
The loss on selling 50 shares of stock would be 87.50.
To calculate the loss on selling 50 shares of stock originally bought at
\(13\frac{3}{4}\) and sold at 12, we need to determine the difference between the purchase price and the selling price, and then multiply it by the number of shares sold.
First, let's convert the purchase price from a mixed fraction to a decimal. \(13\frac{3}{4}\) can be expressed as 13.75.
Next, we calculate the difference between the purchase price and the selling price:
\(13.75 - 12 = 1.75.\)
Finally, we multiply the difference by the number of shares sold:
\(1.75 \times50 = 87.50.\)
Therefore, the loss on selling 50 shares of stock would be 87.50.
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What is the length of line segment AC? 7 9 14 18
Answer:
14 is the correct answer
Step-by-step explanation:
just took the test!! mark me brainliest!!!
The length of the line segment AC is 14.
Option C is the correct answer.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
From the figure,
The triangle is an equilateral triangle.
This means,
Two sides are equal and the angles opposite to the sides are also equal.
Now,
∠B = ∠C
So,
AB = AC
2x = 3x - 7
Solve for x.
2x = 3x - 7
3x - 2x = 7
x = 7
AC.
= 3x - 7
= 3 x 7 - 7
= 21 - 7
= 14
Thus,
The length of the line segment AC is 14.
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Roy makes $10.15 each time he mows
his neighbor's lawn. In April he mowed
the lawn 2 times. In May he mowed the
lawn 3 times. In June he mowed the
lawn 1 time. How much money did Roy
make in all?
$[?]
Answer:
$60.90
Step-by-step explanation:
Roy makes $10.15 each time he mows his neighbor's lawn. In April he mowed he lawn 2 times. In May he mowed the lawn 3 times. In June he mowed the lawn 1 time. How much money did Roy make in all?
April: 2 times
May: 3 times
June: 1 time
2 + 3 + 1 = 6 times
6 time * 10.15 each time
= $60.90
Answer:
$60.90
Step-by-step explanation:
Add the number of times Roy mowed in total
April: 2
May: 3
June: 1
2 + 3 + 1 = 6
Multiply that amount by the $10.15 he makes each time he mows
10.15(6) = 60.9
= $60.903 out of 30 computers are not working.so what % are working
Answer:
90%
Step-by-step explanation:
3/30 not working
3/30%=3/30x100
=>10%
% of computers working 100%-10%=90%
What is the constant up a proportionally in a equation y=x/g
Answer:
Step-by-step explanation:
\(y=(\frac{1}{g} )x\)
Constant up a proportionally is \(\frac{1}{g}\).