How many single receptacles can be installed in a two-gang box that is made using two single-gang boxes that are ganged together
Two single receptacles can be installed in a two-gang box made up of two single-gang boxes ganged together.
A two gang-box is a square electrical box, also called a double-gang box, houses two devices. The two gang-box have a combination switch/outlet or a pair of switches/outlets inside that can control two lighting circuits.
A two-gang box made up of two single-gang boxes which are ganged together can install two single receptacles- receptacles refer to the openings in the gang box into which electronics can be plugged.
You can learn more about two-gang boxe at
https://brainly.com/question/17355738
#SPJ4
For the piecewise function, find the values h(- 5), h(0), h(1), and h(4).
Answer:
h(-5) = 2h(0) = 1h(1) = 3h(4) = 6Step-by-step explanation:
You want the value of the piecewise function for various values of x.
Piecewise functionThe first step in evaluating a piecewise function is determining which domain is applicable to the value of x you have. Then you use the corresponding function, evaluating it in the usual way.
h(-5)For x = -5, the applicable domain is x < -3, so the function is ...
h(-5) = -4(-5) -18 = 20 -18
h(-5) = 2
h(0)For x = 0, the applicable domain is -3 ≤ x < 1, so the function is ...
h(0) = 1
h(1), h(4)For x = 1 or 4, the applicable domain is x ≥ 1, so the function is ...
h(1) = 1 +2 = 3
h(4) = 4 +2 = 6
<95141404393>
John is a quarterback. This year, he completed 350 passes, which is 70% of all the passes he's attempted this year. How many passes has John attempted this year? passes
Answer:
500 passes
Step-by-step explanation:
multiply 350 by 100 and divide by 70
350x100=35,000
35,000/70
=500
and this is funny cuz my brother plays football and a QB and his name is john. creepy times
help please :)
i’ll mark you brainly + points
Answer:
C 10^-3
Step-by-step explanation:
because the other options are the same as 10^ -3/5
Answer:
It would be 10^-3
Step-by-step explanation:
The reading rate for 60 students is shown in the frequency table below.
Reading Rate
(words per minute) Frequency
60 6
65 8
70 12
75 5
80 1
85 1
90 2
95 5
100 20
Determine the standard deviation of the data set and explain what it means in terms of the data.
A-The standard deviation is 13.69. The typical reading rate for the data set varies from the mean by an average of 13.69 words per minute.
B-The standard deviation is 15.76. The typical reading rate for the data set varies from the mean by an average of 15.76 words per minute.
C-The standard deviation is 13.69. The reading rate of a randomly selected student varies from the mean by 13.69 words per minute.
D-The standard deviation is 15.76. The reading rate of a randomly selected student varies from the mean by 15.76 words per minute.
The standard deviation is 15.76. The typical reading rate for the data set varies from the mean by an average of 15.76 words per minute.
How to determine the standard deviation of the data set?The dataset is given as:
Reading Rate
(words per minute) Frequency
60 6
65 8
70 12
75 5
80 1
85 1
90 2
95 5
100 20
Calculate the mean using
Mean = Sum/Count
So, we have
Mean = (60 * 6 + 65 * 8 + 70 * 12 + 75 * 5 + 80 * 1 + 85 * 1 + 90 * 2 + 95 * 5 + 100 * 20)/(6 + 8 + 12 + 5 + 1 + 1 + 2 + 5 + 20)
Evaluate
Mean = 81.92
The standard deviation is
\(\sigma = \sqrt{\frac{\sum f(x - \bar x)^2}{\sum f -1}}\)
So, we have:
SD = √[6 * (60 - 81.92)^2 + 8 * (65 - 81.92)^2 + 12 * (70 - 81.92)^2 + 5 * (75 - 81.92)^2 + 1 * (80 - 81.92)^2 + 1 * (85 - 81.92)^2 + 2 * (90 - 81.92)^2 + 5 * (95 - 81.92)^2 + 20 * (100 - 81.92)^2)]/[(6 + 8 + 12 + 5 + 1 + 1 + 2 + 5 + 20 - 1)]
This gives
SD = √248.382779661
Evaluate
SD = 15.76
Hence. the standard deviation is 15.76. The typical reading rate for the data set varies from the mean by an average of 15.76 words per minute.
Read more about standard deviation at:
https://brainly.com/question/4079902
#SPJ1
can you help me read the problem please the instructions
Answer:
Step-by-step explanation:
1) Number of Jeans = x
Number of blouses = y
total items = 6
x + y = 6 ---------------------(I)
Cost of 'x' Jeans = 300 * x = 300x
Cost of 'y' blouses = 100 * y = 100y
300x + 100y = 1000 -------------------(II)
Equations:
x + y = 6
300x + 100y = 1000
2) Multiply equation (I) by (-100) and so y will be eliminated. Then, we could find the value of 'x'
(I)* (-100) -100x - 100y = -600
(II) 300x + 100y = 1000 {Now, add}
200x = 400
x = 400/200
x = 2
Plug in x = 2 in equation(I)
2 + y = 6
y = 6 - 2
y = 4
Number of Jeans = 2
Number of blouses = 4
3) The equation has one solution. so, they are consistent and independent.
A pump fills a pool at a constant rate. At the end of 11 minutes it has filled 1 gallon of water. Which table represents the relationship between the number of minutes and the number of gallons of water in the pool
The relationship between the number of minutes and the number of gallons of water in the pool can be represented by the following table:
Minutes (x) Gallons of Water (y)
0 0
11 1
22 2
33 3
44 4
To determine the relationship between the number of minutes and the number of gallons of water in the pool, we can observe that the pump fills the pool at a constant rate. In the given information, it states that at the end of 11 minutes, 1 gallon of water has been filled. This means that the rate at which the pump is filling the pool is 1 gallon per 11 minutes.
Based on this information, we can create a table to represent the relationship. We start with 0 minutes and 0 gallons of water since no time has passed and the pool is empty. For every 11-minute interval, we add 1 gallon to the previous amount of water filled. Hence, after 11 minutes, 1 gallon is filled, after 22 minutes, 2 gallons are filled, and so on.
The resulting table represents the relationship between the number of minutes (x) and the number of gallons of water (y) in the pool, showing that the number of gallons increases by 1 for every 11-minute interval.
Learn more about interval here:
https://brainly.com/question/11051767
#SPJ11
PLEASE HURRY!!
Which equation requires the multiplication property of equality to be solved?
A. 6 a = 420
B. a + 6 = 420
C. a/6 = 420
D. a minus 6 = 420
The equation that requires the multiplication property of equality to be solved is:
\(\boxed{\sf \dfrac{a}{6}=420}\)
What is the multiplication property of equality?Multiplication property of equality states that if both the sides of an equation are multiplied by the same number, the expressions on the both sides of the equation remain equal to each other.
The multiplication property states that:
If a = b, then a · c = b · cOut of the given options, \({\sf \dfrac{a}{6}=420}\) requires the multiplication property of equality to be solved.
That is:
\(\text{If} \ {\sf \dfrac{a}{6}=420}\)
\({\sf \dfrac{a}{6}\times6=420\times6\)
\(\sf a=2520\)
Hence, the equation that requires the multiplication property of equality to be solved is:
\({\sf \dfrac{a}{6}=420}\)
Learn more about the multiplication property of equality at:
https://brainly.com/question/30789406
Consider a triangle ABC like the one below suppose that A=52, C=60, and b=73 solve the triangle round your number to the nearest tenth
Answer: Angle a = 47.7 degrees, b = 81.0 degrees, and c = 54.3 degrees
Step-by-step explanation: Since this triangle represents an SSS case(meaning that all sides of the triangle are given), we can use the law of cosines equation and plug the values in for all the sides to get the angles, thus solving the triangle. The equation is below.
\(cos A = b^2+c^2-a^2/2bc\)
Once I found angle A by solving and using arccos function, I used the law of sines,
\(sin a/A = sin b/B = sin c/C\)
and got the angles for the other sides.
Organizational structure box-and-lines diagrams show at least three things: 1. The official lines of ___
2. The formal lines of ____
3. The base level of___-
1. The official lines of authority. 2. The formal lines of communication. 3. The base level of the organization.
Organizational structure box-and-lines diagrams show at least three things:
1. The official lines of authority: These diagrams illustrate the formal hierarchy within an organization, indicating the chain of command and reporting relationships. The lines represent the flow of authority and communication, highlighting who reports to whom. For example, a manager may have multiple employees reporting to them, and those employees may further have their own subordinates.
2. The formal lines of communication: These diagrams also depict the formal channels through which information flows within the organization. They show how information is passed between different levels and departments. For instance, a diagram may show that information flows vertically from top management to lower-level employees or horizontally between departments.
3. The base level of the organization: These diagrams display the entry-level positions within the organizational structure. This helps to understand the foundational roles that exist and how they fit into the larger structure. For instance, the diagram may indicate positions such as interns, junior associates, or entry-level staff.
In summary, organizational structure box-and-lines diagrams provide a visual representation of the official lines of authority, the formal lines of communication, and the base level of the organization. These diagrams help individuals understand the hierarchy, communication flow, and entry-level positions within an organization.
Know more about diagrams here,
https://brainly.com/question/13480242
#SPJ11
While following a treasure map, you start at an old oak tree. You first walk 825 m directly south, then turn and walk 1.25 km at 30.0" west of north, and finally walk 100 km at 40.0" north of east, where you find the treasure: a biography of Isaac Newton?
The final position after following the treasure map is 144.38 km at 28.1" east of north, and you can find that treasure in a biography of Isaac Newton.
To answer the question, you need to use trigonometry and vectors to calculate the total distance travelled and the final position. First, draw a triangle with the initial point being the old oak tree. Label the sides of the triangle as A (825 m south), B (1.25 km at 30.0" west of north), and C (100 km at 40.0" north of east).
Using trigonometry, you can calculate the distance A = 825 m, B = 1.58 km, and C = 143 km. The total distance you travelled is A + B + C = 825 m + 1.58 km + 143 km = 144.38 km.
To calculate the final position, you can use vectors. Vector A is in the South direction and has magnitude 825 m. Vector B is at 30.0" west of north and has magnitude 1.58 km.
Vector C is at 40.0" north of east and has magnitude 143 km. Calculate the resultant vector of the three vectors (A, B, and C) to get the final position. The resultant vector has a magnitude of 144.38 km and a direction of 28.1" east of north.
Therefore, the final position after following the treasure map is 144.38 km at 28.1" east of north, and the treasure you find is a biography of Isaac Newton.
To know more about resultant vector click on below link:
https://brainly.com/question/28188107#
#SPJ11
Simplify 5x [(3.14x6.14)9x2]
The expression is,
\(5\times\lbrack(3.14+4.16)\times9+2\rbrack\)So, according to BODMAS which stands for Bracket, Of, Division, Multiplication, Addition, and Subtraction, calculations are to be done in ths order.
So.
\(undefined\)When a range of values is used to estimate a population parameter, it is calledA. a point estimateB. a statistical parameterC. a range estimateD. an interval estimate
When a range of values is used to estimate a population parameter, it is called an interval estimate. The correct answer is option D.
What is interval estimate?An interval estimation is the evaluation of a parameter of a population by computing an interval, or range of values, within which the parameter is most likely to be located. An interval estimate gives you a range of values where the parameter is expected to lie. In other words, an interval estimate is a range in which the population parameter probably falls for a given level of confidence. We have to establish a level of confidence because we can never be 100 percent sure that the population mean falls within our confidence interval. A confidence interval is the most common type of interval estimate.
Learn more about interval estimate at: https://brainly.com/question/29680703
#SPJ4
Find the area
Please help me thank you!
Your company makes hollow ping pong balls and you need to calibrate the machine that produces them. The volume of material used in each ball is given by V= 3
4
π(r o
3
−r i
3
), where r o
is the outer radius and r i
is the inner radius. Your ping pong ball machine produces balls with an outer radius of r o
=40 mm±0.1 mm. The company is targeting a volume uncertainty of ±3575 mm 3
. What inner radius uncertainty is required if the nominal inner radius is r i
=39.6 mm ?
To achieve a volume uncertainty of ±3575 mm³, the required inner radius uncertainty for the ping pong balls with a nominal inner radius of 39.6 mm is approximately ±0.107 mm.
To calculate the required inner radius uncertainty, we need to determine the range of inner radius values that would result in a volume uncertainty of ±3575 mm³. Given the formula V = (3/4)π(ro^3 - ri^3), where ro is the outer radius and ri is the inner radius, we can substitute the given values:
V = (3/4)π(40^3 - 39.6^3)
Now, we want to find the inner radius uncertainty that would yield a volume uncertainty of ±3575 mm³. Let's assume the inner radius uncertainty is ±x mm. This means the minimum and maximum inner radii would be (ri - x) mm and (ri + x) mm, respectively.
Substituting the minimum and maximum inner radius values into the volume formula, we have:
Minimum volume = (3/4)π(40^3 - (39.6 - x)^3)
Maximum volume = (3/4)π(40^3 - (39.6 + x)^3)
We want the difference between the minimum and maximum volumes to be equal to ±3575 mm³. Thus:
(3/4)π(40^3 - (39.6 + x)^3) - (3/4)π(40^3 - (39.6 - x)^3) = ±3575
Simplifying the equation, we find:
(3/4)π[(39.6 + x)^3 - (39.6 - x)^3] = ±3575
Solving for x, we obtain x ≈ 0.107 mm, which represents the required inner radius uncertainty to achieve a volume uncertainty of ±3575 mm³.
Learn more about volume here: brainly.com/question/28058531
#SPJ11
The polynomial function f(x) is a fourth degree polynomial. Which of the following could be the complete list of the roots of f(x)
Based on the given options, both 3,4,5,6 and 3,4,5,6i could be the complete list of roots for a fourth-degree polynomial. So option 1 and 2 are correct answer.
A fourth-degree polynomial function can have up to four distinct roots. The given options are:
3, 4, 5, 6: This option consists of four real roots, which is possible for a fourth-degree polynomial.3, 4, 5, 6i: This option consists of three real roots (3, 4, and 5) and one complex root (6i). It is also a valid possibility for a fourth-degree polynomial.3, 4, 4+i√x: This option consists of three real roots (3 and 4) and one complex root (4+i√x). However, the presence of the square root (√x) makes it unclear if this is a valid root for a fourth-degree polynomial.3, 4, 5+i, -5+i: This option consists of two real roots (3 and 4) and two complex roots (5+i and -5+i). It is possible for a fourth-degree polynomial to have complex roots.Therefore, both options 1 and 2 could be the complete list of roots for a fourth-degree polynomial.
The question should be:
The polynomial function f(x) is a fourth degree polynomial. Which of the following could be the complete list of the roots of f(x)
1. 3,4,5,6
2. 3,4,5,6i
3. 3,4,4+i\(\sqrt{6}\)
4. 3,4,5+i, 5+i, -5+i
To learn more about fourth degree polynomial: https://brainly.com/question/25827330
#SPJ11
.John has $40. He will use some of the money to buy books, and he wants to have at least $10 left to put in his savings account. Each book costs $6. A. Write an inequality to represent this story, using b to represent the number of books John buys. B. Solve the inequality, showing each step of your work. C. In complete sentences, explain what the solution means in the context of the story
Answer:
The required inequality is \(40-6b\leq 10\).
Jhon can buy at most 5 books.
Step-by-step explanation:
Consider the provided information.
Part(A)
Let b represent the number of books John buys.
He wants at least $10 in his savings account which means if we subtract the cost of books from $40 we have at least $10 left.
\(40-6b\leq 10\)
The required inequality is \(40-6b\leq 10\).
Part(B)
\(40-6b\leq 10\)
\(-6b\leq 10-40\)
\(b \leq\frac{30}{6}\)
\(b\leq 5\)
Part(C): Jhon can buy at most 5 books.
Belvedere goes to the store and buys a garden statue for $30. The store has a sales tax rate of 7.8%. How much tax will Belvedere have to pay?
Answer:
$2.34
Step-by-step explanation:
30x0.078=2.34
according to a pew research center nationwide telephone survey of adults conducted march 15 to april 24, 2011, 69% of college graduates said that their college education gave them maturity (time, may 30, 2011). suppose that this survey included n=1415 college graduates. a. what is the point estimate of the corresponding population proportion? b. construct a 97% confidence interval for the proportion of all college graduates who will say that their college education gave them maturity. round your answers to three decimal places.
The point estimate of the corresponding to the population proportion is 977 college graduates
What is population proportion?
The percentage of the population that possesses a particular trait is known as the population proportion. Say there are 1,000 people in the population and 237 of them have blue eyes, for instance. The percentage of people with blue eyes is 237/1000, or 237/1000. You would write this fact as follows: p = 237/1000 since the population proportion is denoted by the letter p.
The percentage college students graduates is 69%
The number of college students studying = 1415
Point estimate is the process of calculating a single value from a sample of data.
In a sample with 'x' number of successes and 'n' samples, the point estimate of a population proportion, p', is as follows:
p' = x/n
∴ x= p'n
\(x = 1415 * \frac{69}{100}\)
= 14.15*69
= 976.35 ≈ 977
The point estimate corresponding to the population proportion, x = 977
To learn more about the population proportion from the given link
https://brainly.com/question/18514274
#SPJ4
a snack manufacturer finds that it must increase the salt content of its chips by 8 percent in order for a sample of consumers to notice that the chips are saltier than they were before (baseline). this example most nearly illustrates the concept of a( n ):
A threshold effect is when a small change in one variable results in a noticeable change in another variable. In this example, a small 8% increase in salt content of the chips is enough to produce a noticeable change in the saltiness of the chips to the sample of consumers.
The snack manufacturer can calculate the increase in salt content of their chips needed to produce the threshold effect by first determining the baseline salt content of the chips. Once this is known, they can then calculate what percentage increase to the salt content is needed by multiplying the baseline salt content by 8%. For example, if the baseline salt content of the chips is 10%, then the 8% increase in salt content would be calculated as 10% x 8% = 0.8%. This means that the snack manufacturer needs to increase the salt content of their chips by 0.8% to reach the threshold effect desired by the sample of consumers.
Learn more about variable here
https://brainly.com/question/29583350
#SPJ4
what is the value of 12.5 - 31/2 + 1 1/4?
A -20.25
B -17.25
C -17/4
D-7/4
Answer:
let us first cpnvert fraction to decimals for easy calculation
12.5 (remains same cauz its already in decimal form)
- 31/2 when divided gives = 15.5
11/4 when divided gives = 2.75
so 12.5 - 15.5 = -3
-3 + 2.75 = -20.25
Write the improper fraction as a mixed number in simplest form. 11/2
Answer:
5 and 1/2
Step-by-step explanation: 2 goes into 11 5 times without passing it. That one that is left over would be the numerator and 2 as the demonator.
Ballio made 8 identical bags using 3 yards of fabric. How much fabric did Ballio use for each bag?
For each bag, BALLIO would have needed 2.25 (or 2 1/4) yards of fabric.
What is unitary method?"A way to find a multiple unit value from a single unit value as well as the reverse."
In every case, we first count the unit or amount value before figuring out the more or less amount value.
This method is referred to as a unified procedure for this reason.
By dividing the set value by the quantity of sets, one can find numerous set values.
By dividing several set values by the total number of sets, one can determine a set value.
According to our question-
9 bags you are making
must be the same
divide the nine bags by the four yards
2.25 yards per bag
learn more about unitary method click here:
brainly.com/question/24587372
#SPJ1
True or false: A set is considered closed if for any members in the set, the result of an operation is also in the set
False. A set is considered closed under an operation if the result of that operation on any two elements in the set also belongs to the set.
A set is considered closed if it contains all of its limit points. In other words, if a sequence of points in the set converges to a point that is also in the set, then the set is closed. Another equivalent definition is that the complement of the set.
In mathematics, sets are collections of distinct objects. These objects can be anything, including numbers, letters, or even other sets. The concept of sets is fundamental in mathematics and is used to define many other mathematical structures.
Sets can be denoted in various ways, including listing the elements inside curly braces { }, using set-builder notation, or using set operations to define new sets from existing ones. Some common set operations include union, intersection, difference, and complement.
To learn more about Set visit:
https://brainly.com/question/18877365
#SPJ4
a situation in which several independent variables are highly correlated with each other is defined as _____.
If 44% of a number is 120, find 11% of that number.
Answer:
29.92 should be the answer
Step-by-step explanation:
ITS URGENT PLEASE HELP ME AND SHOW THE STEPS
I WILL MARK BRAINLIEST
Answer:
No, Anthony is not correct.
Step-by-step explanation:
K is at (-4, 8), L is at (-7, 4), M is at (-2, 1)
KL
\( \sqrt{ {( - 4 - ( - 7))}^{2} + {(8 - 4)}^{2} } \)
\( \sqrt{ {3}^{2} + {4}^{2} } = \sqrt{9 + 16} = \sqrt{25} = 5\)
LM
\( \sqrt{ {( - 7 - ( - 2))}^{2} + {(4 - 1)}^{2} } \)
\( \sqrt{ {( - 5)}^{2} + {3}^{2} } = \sqrt{25 + 9} = \sqrt{34} \)
KM
\( \sqrt{ {( - 4 - ( - 2))}^{2} + {(8 - 1)}^{2} } \)
\( \sqrt{ {( - 2)}^{2} + {7}^{2} } = \sqrt{4 + 49} = \sqrt{53} \)
From these, it follows that KLM is not an isoceles triangle.
Dont answer this question if you dont know the answer
Answer:
C
Step-by-step explanation:
sin = 5/13
cos = 12/13
tan = 5/12
b) Below is a regular hexagon. A piece is cut out and translated to the opposite side to form an
irregular polygon that will tessellate. On the right, the figure that can tessellate is drawn solid,
and the original hexagon sides are shown as dashed lines. (10 points)
Copyright Edcenuity in
Student Guido (continued)
Perform two translations to the parallelogram below to transform it into an irregular polygon
that can tessellate.
Using inspiration from the hexagon example, we can cut out a side of the parallelogram and move that portion to the opposite side. The cut can be a curve of any kind or it could be a jagged edge like I have done below. The figure tessellates the plane as shown in the last section of the diagram. We can place the figures side by side to fill up a 2D space. Think of it like putting a jigsaw puzzle together in a way.
The volume V of gas varies inversely to the pressure P. The volume of a gas is 200cm^3 under pressure of
32 Kg divided by cm^2
What will be its volume under pressure of 40 kg divided by cm^2?
Answer:
\(160cm {}^{3} \)
Step-by-step explanation:
\(v = \frac{k}{p} \: \: were \: v = 200cm {}^{3} \: \: p = 32 \frac{kg}{cm {}^{3} } \\ 200 = \frac{k}{p} \: \\ k = 200 \times 32 \\ k = 6400 \\ equation \: connecting \: vand \: p \\ v = \frac{6400}{p} \\ when \: p = 40kg \\ v = \frac{6400}{40} \\ v = 160cm {}^{3} \)