Answer:
Given:
time taken by first pipe = 15 hours
time taken by second pipe = 5 hours
time taken by all three pipes together = 3 hours
Solution:work rates of pipes are :
1st pipe = 1/15
2nd pipe = 1/5
3rd pipe = 1/x
all together = 1/3
sum of individual rates = rate when all pipes are working together
1/15 + 1/5 + 1/x = 1/3
1/x = 1/3 - 1/15 - 1/5
solving the equation, we get
1/x = 1/ 15
x= 15
hence, it would take 15 hours for the third pipe to fill the tank.
Solve for x: \(\frac{x}{n}\)= q+r Please explain your answer too! Thank you!
Answer:
x=nq+nr
Step-by-step explanation:
Let's solve for x.
x/n=q+r
Step 1: Multiply both sides by n.
x=nq+nr
Answer:
x=nq+nr
feldman was interested in the effect of valium on rate of bar pressing by rats. he found rates of about 800 per hour in the saline-injection condition and 775 under the drug-injection condition. only one skinner box was used and the same assistant handled all the animals. identify: a. dependent variable b. independent variable and the number of levels c. names of the levels of the independent variable d. a controlled extraneous variable is. a quantitative variable
Feldman investigated how the rate of bar pressing by rats was affected by the type of injection they received, with two levels (saline and drug).
a. The dependent variable in this study is the rate of bar pressing by rats.
b. The independent variable in this study is the type of injection administered to the rats (saline-injection condition vs. drug-injection condition).
c. The independent variable has two levels: saline-injection condition and drug-injection condition.
d. A controlled extraneous variable in this study could be the environment in which the rats were tested. Since only one Skinner box was used and the same assistant handled all the animals, it suggests that the environment and handling conditions were kept constant to minimize their potential influence on the dependent variable.
a. Dependent variable: Rate of bar pressing by rats.
b. Independent variable: Type of injection administered.
c. Levels of the independent variable: Saline-injection condition and drug-injection condition.
d. Controlled extraneous variable: Environment and handling conditions.
Feldman investigated how the rate of bar pressing by rats was affected by the type of injection they received, with two levels (saline and drug). The study controlled for extraneous variables such as the environment and handling conditions.
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This shape is drawn on a centimetre square grid. What is the area of the shape?
Answer:
13 square centimeters.
Step-by-step explanation:
There are 13 squares making up the shape
20 POINTS HELP, WILL GIVE BRAINLIEST IF CORRECT! (Only if two people answer I will give brainliest)
Answer:
Bottom(equation 3)=No solution
Middle(equation 2)= Infinite solutions
Top(equation 1)=1 solution
Step-by-step explanation:
Brainly pls I hope this helps
All received a $1200 bonus. He decided to invest it in a 3-year certificate of deposit (CD) with an annual interest rate of 1.27% compounded monthly.
Answer the questions below. Do not round any intermediate computations, and round your final answers to the nearest cent.
(a) Assuming no withdrawals are made, how much money is in All's account
after 3 years?
(b) How much interest is earned on All's investment after 3 years?
After 3 years, all's accounts will have approximately $1302.84.
The interest earned on All's investment after 3 years is $102.84.
We have,
(a)
The formula for the future value of a CD with monthly compounding.
FV = P(1 + r/12)^(12n)
where:
P = the principal amount (initial investment)
r = the annual interest rate (as a decimal)
n = the number of years
In this case,
All invest $1200, the interest rate is 1.27% compounded monthly, and the investment is for 3 years.
Plugging these values into the formula, we get:
FV = 1200(1 + 0.0127/12)^(12*3) ≈ $1302.84
(b)
To find the amount of interest earned, we subtract the initial investment from the future value:
Interest = FV - P
= $1302.84 - $1200
= $102.84
Thus,
After 3 years, all's accounts will have approximately $1302.84.
The interest earned on All's investment after 3 years is $102.84.
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Answer:
Step-by-step explanation:
jessie incorrectly said the rate 1/2pound / 1/4quart can be written as the unit rate 1/8 pound per quart. What is the correct unit rate? What was Jessies likely error?
Answer: The correct unit rate = 2 pound per quart.
Her error instead dividing of that she multiplied both fraction.
Step-by-step explanation:
Given: Jessie said the rate \(\dfrac12\) pound / \(\dfrac14\) quart can be written as the unit rate \(\dfrac18\) pound per quart.
The rate \(\dfrac12\) pound / \(\dfrac14\) quart = \(\dfrac{\dfrac{1}{2}}{\dfrac14} =\dfrac12\times\dfrac41=2\ \ \ \ \ \ [ \ \dfrac{\dfrac{a}{b}}{\dfrac{c}{d}}=\dfrac{a}{b}\times\dfrac{d}{c}\ ]\)
The correct unit rate = 2 pound per quart.
Her error instead dividing of that she multiplied both fraction.
Serena bought a total of 135 notebooks and pencils for her students. Each notebook cost $1.75, and each pencil cost $0.35. The total cost of her purchase was $122.85. How many pencils did Serena buy?
Answer:
81 pencils is the answer
The number of ways six people can be placed in a line for a photo can be determined using the expression 6!. What is the value of 6!? Two of the six people are given responsibilities during the photo shoot. One person holds a sign and the other person points to the sign. The expression StartFraction 6 factorial Over (6 minus 2) factorial EndFraction represents the number of ways the two people can be chosen from the group of six. In how many ways can this happen? In the next photo, three of the people are asked to sit in front of the other people. The expression StartFraction 6 factorial Over (6 minus 3) factorial 3 factorial EndFraction represents the number of ways the group can be chosen. In how many ways can the group be chosen?.
The value of 6! is 720.
The number of ways the two people can be chosen from the group of six is 30 ways.
The number of ways the group can be chosen is 20 ways.
The number of ways the six people can be placed in a line for a photo is calculated as;
\(= 6!\\\\= 6 \times 5 \times 4 \times 3 \times 2 \times 1\\\\= 720 \ ways\)
The number of ways the two people can be chosen from the group of six is calculated;
\(= 6P_2\\\\= \frac{6!}{(6-2)! } \\\\= \frac{6!}{4!} \\\\= \frac{6\times 5 \times 4!}{4!}\\\\= 6\times 5 \\\\= 30 \ ways\)
The number of ways the group can be chosen is calculated as;
\(= 6C_3\\\\= \frac{6!}{(6-3)! \times 3!} \\\\= \frac{6!}{3! \times 3!} \\\\=20 \ ways\)
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Answer:
The answer is 20
Step-by-step explanation:
how many ways are there for eight men and five women to stand in a line so that no tow women stand right next to each other
In 609638400 ways eight men and five women can stand in a line so that no two women stand next to each other.
What is meant by Permutation?An arrangement of items in a specific order is referred to as a permutation. Here, the components of sets are organized in a linear or sequential manner. The permutation of the set A=1,6 is 2, for instance, 1,6, and 6,1. There is no alternative way to organize the components of set A, as you can see.
In contrast to combination, where the order of the parts is irrelevant, permutation calls for a specific arrangement of the elements in many ways.
We genuinely wonder how the timetables of trains, buses, and airlines are set up in accordance with the convenience of the general population. Of course, the permutation is quite useful in planning the departure and arrival timetables for these.
How to solve?
For 8 men in a line: 8! = 40320
In order to separate 2 women, we have to choose 5 out of 9
C(9,5) = 9! / 5!4! = 126
Random place 5 women in the 5 chosen places: 5! = 120
Total ways= 40320 * 126 * 120 = 609638400
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Can someone help me with this? Right answer gets brainliest!! :)
I have 2 answers in mind
Answer #1:
\(\frac{y}{z}\)
Step-by-step explanation:
quotient means the answer to 2 things being divided so the quotient of y and z would be \(\frac{y}{z}\) because there is no numerical value.
Answer #2:
1
Step-by-step explanation:
Usually, when a letter is left by itself in an equation it usually has an invisible one in front of it. so when dividing y by z it would equal 1/1 which is equal to one.
Hope this helps :)
Consider what you know about the sampling distribution of the sample proportion. This sampling distribution: a. will become more variable as the sample size increases.b. will be Normal in shape only if the sample size is at least 100. c. will have a center equal to the population proportion, or pd. has a shape that is skewed to the right, regardless of sample size. e. is a collection of the parameters of all possible samples of a particular size taken from a particular population
The sample distribution is a collection of the parameters of all possible samples of a particular size taken from a particular population. The correct answer is option E.
What does sample distribution mean?A sampling distribution refers to a probability distribution of a statistic which comes from selecting random samples of a given population. Also known as a finite-sample distribution, it represents the distribution of frequencies on how spread apart various outcomes will be for a specific population.
As sample sizes increase, the sampling distributions approach a normal distribution. With infinite numbers of successive random samples, the mean of the sampling distribution is equal to the population mean (µ). The mean of the sampling distribution of a sample proportion is np, the sample size times the probability of success for each trial (or observation).
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the average annual salary of public school teachers who graduated from a certain college is to be studied. (a) a random sample of 51 teachers has a mean of $31,578 with a standard deviation of $4,415. construct a 99% confidence interval for the average salary of the population of public school teachers who graduated from this specific college.
95% confidence interval : 30713 persons to 32433 persons.
The confidence interval is the mean of your estimate plus and minus the change in that estimate. This is the range of values within which, with a certain level of confidence, you would expect your estimate to fall if you retest. In statistics, confidence levels are another way of describing probabilities.
According to the Question:
n = 100
x = 31,578
σ = 4413
class interval = 95% = 0.95
To construct a 95% confidence interval, we use the formula:
x ± z(σ/ √n)
α = 1 - CL = 1 - 0.95 =0.05
From the z score, Z(0.05) = Z (0.05/2) = Z 0.0025
Confidence Interval = X± 8 = X - 8= X+8
= (31578-865.34, 31578+ 865.34)
= (php 30713, php 32443)
Therefore, At 95% confidence interval There are 30713 person 32443 person.
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M is the middlepoint of point A( -4,4) and point B (-10,-4)
What is the x-coordinate of M
The coordinates of the middle point M is found as (-7,0) of the line segment AB.
What is termed as the middle point of coordinates?A midpoint is a point in the middle of a line connecting two points. The two points of reference are the line's endpoints, and the middle point is located between the two. The midpoint splits the line connecting such two points in half.For the given question;
The two coordinates of the points are given ;
A( -4,4) = (x₁, y₁)
B (-10,-4) = (x₂, y₂)
The middle point M of this line segment is found as;
M(x, y) = (x₁ + x₂)/2 , (y₁ + y₂)/2
Put the values in the formula;
M(x, y) = (-4 - 10)/2 , (4 - 4)/2
M(x, y) = (-14)/2 , 0
M(x, y) = (-7,0)
Thus, the coordinates of the middle point M is found as (-7,0).
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3x + 2y = 6 what is x and y
Answer:
For 3x + 2y = 6 , the x-intercept is 2 and the y-intercept is 3.
3. Using your calculator, solve for x in the image below. This is the same triangle
image you used to answer questions 1 & 2. Round your answer to the nearest
hundredth.
Answer: b
Step-by-step explanation:b
The value of x to the nearest hundredth is 9.04.
The correct option is C.
What is a tangent function?One of the six fundamental functions in trigonometry is the tangent function. As stated, Tan A = Opposite Side/Adjacent Side is the Tangent Formula. Tangent may be modeled using sine and cosine as follows: Tan A = Sin A / Cos A.
Given:
A triangle JHP is given in the diagram.
To find the value of x:
Applying tangent identity,
tan(37°) = 12/x
Apply cross multiplication,
we get,
x = 12tan(37°)
x = 9.042
x = 9.04 to the nearest hundredth.
Therefore, the value of x is 9.04.
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The monthly snowfall on Sugar Mountain dropped from 26 inches to 20 inches. What is the percent decrease?
Answer:
about 23% decrease
Step-by-step explanation:
26-20=6
6 divided by 26 = 0.230
0.230 x 100 = 23
Answer:
24
Step-by-step explanation:
first work out the difference (decrease) between the two numbers you are comparing. Next, divide the decrease by the original number and multiply the answer by 100 to get the answer
Find the median of the following data:
9, 15, 17, 18, 6, 20, 8, 5, 18, 18, 10, 5, 14, 12, 10,7
A. 18
B. 12
C. 11
D. 15
Answer:
18
Step-by-step explanation:
The median of a set of data is the value that separates the lower and upper halves of the data. To find the median, the data must be arranged in numerical order.
The data, arranged in numerical order, is:
5, 5, 6, 7, 8, 9, 10, 10, 12, 14, 15, 17, 18, 18, 18, 20
Since the number of data points is an odd number (17), the median is simply the middle value, which is:
18
So the correct answer is A) 18.
Answer: C
Step-by-step explanation:
To find the median, arrange the numbers in sequential order.
5, 5, 6, 7, 8, 9, 10, 10, 12, 14, 15, 17, 18, 18, 18, 20
When there are an odd number of data in the set, choose the middle number in the set. For example, see the following data set.
2, 4, 6, 8, 9
The middle number in the data set is 6, so it is the median.
When there is an even number of data in the set, choose the middle two numbers, add them together, and then divide them by 2.
There are 16 numbers in this data set. We need to find the two middle numbers in the set.
5, 5, 6, 7, 8, 9, 10, 10, 12, 14, 15, 17, 18, 18, 18, 20
10 and 12 are the two middle numbers in the set.
10 + 12 = 22
22/2 = 11
Median = 11
what rationale is correct for the nusre to empty a hemovac woudn suction device when it is half full
A nurse should empty a Hemovac wound suction device when it is half full to ensure proper functioning and prevent discomfort or injury to the patient due to the device becoming too heavy.
The rationale for a nurse to empty a Hemovac wound suction device when it is half full is to ensure the device is functioning correctly and to prevent it from becoming too heavy and potentially causing discomfort or injury to the patient.
When a Hemovac wound suction device is half full, it may start to lose suction, which can result in less efficient drainage of fluid from the wound site. By emptying the device, the nurse can ensure that the device is functioning correctly and that the suction pressure is maintained.
Additionally, allowing the device to become too full can make it heavy and uncomfortable for the patient, potentially causing discomfort or injury to the wound site. Therefore, emptying the device when it is half full can help prevent these complications and ensure that the patient remains comfortable throughout the healing process.
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anna enjoys dinner at a restaurant in washington, d.c., where the sales tax on meals is 10\%. she leaves a 15\% tip on the price of her meal before the sales tax is added, and the tax is calculated on the pre-tip amount. she spends a total of 27.5027.50 dollars for dinner. what is the cost of her dinner without tax or tip in dollars?
The cost of the dinner without tax or tip is $22.
Given,
The sales tax on meals = 10%
Tip she leaved before sales tax is added = 15%
The total amount for dinner = $27.50
We have to find the cost of dinner without adding tax or tip;
Let cost of meals be x.
Then,
She pays 10% of x as a sales tax
So that brings the total up to 100% + 10% = 110%
Before paying, she pays 15% on x as her tip. The tax does not touch the tip.
So that brings the total up to 100% + 10% + 15% = 125% of this is based on x, the cost of the meal.
So 125% of x = 27.50
125/100 * x = 27.50
125/100 * 100/125x = 100/125 * 27.50
x = 100/125 * 27.50
x = 2750 / 125 = 22
That is, the cost of the dinner without tax or tip is $22.
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PLS HELP ASAP! 10 POINTS!!
Answer:
length = 4 width = 4 height = 10
Step-by-step explanation:
8x4x5 = 160
4x4x10 = 160
Organizational culture is set by a. the manager b. the ethics committee c. the engineer d. none of the given options
Organizational culture is defined as the common beliefs, values, attitudes, customs, behaviors, and traditions that characterize a specific organization and determine the manner in which it functions. Organizational culture is set by the manager.
In a corporate or business environment, organizational culture can influence the daily operations of employees. It is the responsibility of managers to create a positive culture that emphasizes teamwork, respect, integrity, and accountability. The manager is an essential individual responsible for establishing and maintaining the organization's culture, which will ultimately define the employee's attitudes, behaviors, and productivity levels. He or she sets the tone for the workplace by creating an environment that fosters collaboration, innovation, and success. Employees need to feel connected to their workplace and colleagues to be motivated to do their best work. If a manager promotes a culture of fear, competition, or dishonesty, employees may become unmotivated or unproductive. An effective manager understands the importance of creating a positive workplace culture and works hard to establish and maintain it. Managers can establish a positive culture by encouraging open communication, providing regular feedback and recognition, fostering a sense of teamwork, creating opportunities for professional development, and setting high standards for performance. Managers must lead by example and demonstrate the behaviors and attitudes that they expect from their employees. They must hold themselves and others accountable for their actions, communicate expectations clearly, and provide support when needed. A positive organizational culture will enable an organization to attract and retain top talent, increase employee engagement, and promote collaboration and innovation.
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HELP
Find the distance from point P (-2, 8) to the line y = -1.
Step-by-step explanation:
Distance= ✓(-2-0)²+(8+1)²
=✓(4+81)
=✓85
Please help me with this difficult question i will mark taht guy as brainliest please request
Let's consider an example with hypothetical data for two crops, Wheat and Rice, obtained from five farmers:
| Farmer | Rabi Crop (tons/ha) | Kharif Crop (tons/ha) |
|--------|--------------------|----------------------|
| F1 | 4.5 | 6.2 |
| F2 | 3.8 | 5.5 |
| F3 | 4.2 | 6.0 |
| F4 | 5.1 | 7.3 |
| F5 | 4.9 | 6.5 |
```
To calculate the selling price and profit, you would need additional information such as the selling price per ton for each crop and the cost of production. Let's assume the selling price for Wheat is $200 per ton and for Rice is $250 per ton. We will also assume a production cost of $150 per ton for both crops.
To calculate the profit for each farmer, you can use the following formula:
Profit = (Selling Price - Production Cost) * Production
For example, let's calculate the profit for Farmer F1 with the given data:
Profit for Wheat = (200 - 150) * 4.5 = $225
Profit for Rice = (250 - 150) * 6.2 = $620
Repeat this calculation for each farmer and crop combination to obtain the profits for all.
Once you have the data for production, selling price, and profit, you can create a double bar graph to compare the production of Wheat and Rice in the farmers' fields. The x-axis will represent the farmers, and the y-axis will represent the production (tons/ha). Each farmer will have two bars, one for Wheat and one for Rice, showing the respective production amounts.
Please note that the actual selling price, production costs, and profits may vary based on various factors, and you would need specific data and current market information to calculate accurate values.
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Select all the equations that are true when x = 6.
6x = 12
17 – x = 11
x ÷ 2 = 3
19 ÷ 3 = x
5 + x = 11
An animal shelter conducts an annual fundraising drive. The animal shelter must raise enough money to cover their annual rental of $2,500 and weekly expenses of $450. So far, the shelter has received a one-time donation of $125 and pledged donation of $680 per week. Write an equation that can be used to find w, the number of weeks the shelter needs to raise enough money to clear their expenses (non-profit)
Step-by-step explanation:
125+680w>2,500+450w
HELP. What is the measure (in degrees) of Angle 1?
Answer:
117°
Step-by-step explanation:
The total is 180° and the two are not congruent so
180°- 63° = 117°
Hope this Helps, Have a Wonderful Day :D
On a map, an art gallery is located at (13,-3). A car wash is located at(13,-5) . If each unit on the map is a city block, how many city blocks is the art gallery from the museum?
Answer:
The art gallery is 2 city blocks from the car wash
Step-by-step explanation:
If the x-coordinates of two points on a line equal, then the line is a vertical lineThe length of a vertical segment whose endpoints are (x, y1) and (x, y2) is Iy2 - y1ILet us solve the question
∵ The art gallery is located at the point (13, -3)
∴ x1 = 13 and y1 = -3
∵ A car wash is located at (13, -5)
∴ x2 = 13 and y2 = -5
∵ x1 = x2 = 13
→ That means the gallery and the car wash located vertically over each other
∴ The distance between them = Iy2 - y1I
∵ y1 = -3 and y2 = -5
∴ The distance between them = I-5 - (-3)I
∴ The distance between them = I-5 + 3I
∴ The distance between them = I-2I
→ Remember the absolute value cancel the negative sign
∴ The distance between them = 2 units
∵ Each unit on the map is a city block
∵ The distance between them is 2 units
→ That means the vertical distance between them is 2 city blocks
∴ The art gallery is 2 city blocks from the car wash
Find the total surface area. Round your answer to the nearest hundredth!
Answer:
Step-by-step explanation:
two circles: 2(πr²)
1 rectangle:Lw
3.14(7)(7)
3.14(49)
2(153.86)=307.72
307.72(14)
4308.08
Find the slope through the given points Show your work. (2, 3) and (-5, 4)
Find the area of the composite figure.19 mm 25 mm 3 mm 6mm
The figure consists of a rectangle and 2 right triangles, as shown in the diagram below
The areas of a rectangle and a triangle are given by the following formulas
\(\begin{gathered} A_{\text{rectangle}}=lw \\ A_{\text{triangle}}=\frac{1}{2}b\cdot h \end{gathered}\)In our case,
\(\begin{gathered} A_{\text{rectangle}}=6\cdot19=114 \\ A_{\text{triangle}}=\frac{1}{2}(25-19)\cdot(3+3)=\frac{1}{2}\cdot6\cdot6=\frac{36}{2}=18 \end{gathered}\)Thus,
\(\begin{gathered} A_{\text{figure}}=A_{\text{rectangle}}+2A_{\text{triangle}}=114+36=150 \\ \Rightarrow A_{\text{figure}}=150 \end{gathered}\)The total area is 150mm^2