Alfred gets pay as $2119.23 per week for a new part-time job as a butler.
What is the division?The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.
Given that, Alfred responds to an ad position that pays $110,200 a year.
We know that, there are 52 weeks in a year
Salary for one week =110,200/52
= $2119.23
Therefore, the weekly pay for Alfred is $2119.23.
To learn more about the division visit:
https://brainly.com/question/1575906.
#SPJ1
I need help pls I really need help it’s my little sisters homework
Answer:
25???
Step-by-step explanation:
If x and y are two positive real numbers such that x 2 +4y 2 =17 and xy =2, then find the value of x- 2y. a. 3 b. 4 c. 8 d. 9
Answer: The value of x- 2y is a. \(\pm 3\).
Step-by-step explanation:
Given: x and y are two positive real numbers such that \(x^2+4y^2=17\) and \(xy= 2\) .
Consider \((x-2y)^2=x^2-2(x)(2y)+(2y)^2\ \ \ [(a+b)^2=(a^2-2ab+b^2)]\)
\(=x^2-4xy+4y^2\)
\(=x^2+4y^2-4(xy)\)
Put \(x^2+4y^2=17\) and \(xy= 2\) , we get
\((x-2y)^2=17-4(2)=17-8=9\)
\(\Rightarrow\ (x-2y)^2=9\)
Taking square root on both sides , we get'
\(x-2y= \pm3\)
Hence, the value of x- 2y is a. \(\pm 3\).
If you have a statistical calculator or computer, use it to find the actual sample mean and sample standard deviation. Otherwise, use the values Σx = 2769 and Σx2 = 132,179 to compute the sample mean and sample standard deviation. (Round s to four decimal places.)
By using a statistical calculator, the actual sample mean and sample standard deviation are:
Actual sample mean = 46.1500.
Actual ample standard deviation = 8.6256.
How to calculate the sample mean for the set of data?In Mathematics and Geometry, the sample mean for any set of data can be calculated by using the following formula:
Mean = ∑x/(n - 1)
∑x represents the sum of all data values.(n - 1) represents the number of data contained in a sample.In Mathematics and Geometry, the sample standard deviation for any set of data can be calculated by using the following formula:
Standard deviation, δx = √(1/N × ∑(x - \(\bar{x}\))²)
x represents the observed values of a sample.\(\bar{x}\) is the mean value of the observations.N represents the total number of of observations.By using a statistical calculator, the actual sample mean and sample standard deviation are as follows;
Actual sample mean = 46.1500.
Actual ample standard deviation = 8.6256.
Read more on standard deviation here: brainly.com/question/14467769
#SPJ1
Missing information:
The question is incomplete and the complete question is shown in the attached picture.
If s(x)= 2 -x^2 and f(x)=3x, which value is equivalent to (s°f)(-7)
a) Copy and complete the table below for the graph of y = 2x.
21=33 9 1 2
1-4-2 A
b) The lines y = x and y = 2x are shown on the axis below.
Write down one similarity and one difference between these lines.
f y-20 У=2
5-
4-
3-
1-
654-32-18 1 23 45 6*
1-2
--3・
-4・
-5
-6-
Exit
11-02: Reteaching, Practice, & Digital Quick Check
Which set contains only prime numbers?
A. 1, 3,6
B. 2, 4,7
C. 3, 5, 7
e
D. 4, 8, 10
6p² equals to..................
Answer:
36p is the correct answer
Think of 5 positive integers that have a mode of 4, a median of 7, a mean of 7 and a range of 8. Write the numbers in ascending order and use commas to separate the numbers.
The data-set with the given features is presented as follows:
4, 4, 7, 8, 12.
What are the features of the data-set?The mode of 4 means that the element that appears the most times is of 4, which appears two times.
The median of 7 means that the middle element, which is the third element, is of 7.
The mean of 7 means that the sum of the five elements divided by 5 has a result of 7.
The range of 8 means that the largest element is of 8 + 4 = 12, as the range is the difference between the highest and the lowest value of the data-set.
More can be learned about mean, median, mode and range at https://brainly.com/question/14532771
#SPJ1
Solve |x-5| > -2. Write your solution in interval notation.
Answer:
(−∞,∞)
Step-by-step explanation:
Since |x−5| is always positive and −2 is negative, |x−5| is always greater than −2, so the inequality is always true.
All real numbers
So, the answer is (−∞,∞)
PLEASE HELP ME ASAP ILL GIVE BRAINLIEST
The absolute value function that matches the graph is given as follows:
y = -|x + 1| + 1.
How to define the absolute value function?An absolute value function of vertex (h,k) is defined as follows:
y = a|x - h| + k.
In which a is the leading coefficient.
The coordinates of the vertex in this problem are given as follows:
(-1, 1).
Hence:
y = a|x + 1| + 1.
The function is reflected over the x-axis with a slope of -1, hence the leading coefficient a is given as follows:
a = -1.
Thus the function is:
y = -|x + 1| + 1.
More can be learned about absolute value functions at brainly.com/question/3381225
#SPJ1
2-6² +4 2
please help it's review for my finals
Answer: I don’t know :(
Step-by-step explanation:
Answer:
8
Have an amazing day!
You might need: CalculatorZA=Round your answer to the nearest hundredth.СоMY?ProPro6TeaB4
∠A = 41.81°
Explanation:To get measure of angle A, we would apply trigonometry ratio SOHCAHTOA:
opposite = side opposite the angle = 4
hypotenuse = 6
adjacent = base = AC = ?
Since we have been given the opposite and the hypotenuse, we would use the sine ratio:
Sin A = opposite/hypotenuse
Sin A = 4/6
sin A = 0.6667
\(A=sin^{-1}(0.6667)\)A = 41.8129 degrees
To the nearest hundredth, ∠A = 41.81°
pls pls pls pls help
Answer:
im guessing it says they give $5 to the father
if that is the case then the answer is c
Step-by-step explanation:
The coordinates of point A on a grld are (-3,-2), Point A is reflected across the y-axls to obtain point B. The coordinates of point B are
-2).
Answer:
The coordinates of the image of B(-3, -2) is B'(3, -2).
Step-by-step explanation:
We know that when a point (x, y) is reflected across the y-axis, the y-coordinate remains the same, and then the x-coordinate becomes negative.i.e.
Thus, the image of P(x, y) is P' (-x, y).Given the point
B(-3, -2)Hence, the image of B(-3, -2):
(-x, y) → (-(-3), -2) = (3, -2)Therefore, the coordinates of the image of B(-3, -2) is B'(3, -2).
You pay $2 to play a game in which you roll one fair die. If you roll a 5 on the first roll, you win $5. If you roll a 1 or a 2, you win $3. If not, you lose your money. Use this information to answer questions 1-2.
Find the expected value for this game? Round your answer to the hundredths place
Find the fair price for this game. Round your answer to the hundredths place
Answer:
The answer is 4
Step-by-step explanation:
MRK ME BRAINLIEST PLZZZZZZZ
Answer:
4
:P
Step-by-step explanation:
In October of 2019, Gallup asked a random sample of 1,506 Americans which of two approaches to punishing murder they thought was better, the death penalty or life without possibility of parole. For the first time since Gallup began asking the question in 1985, a majority of Americans now say life imprisonment is a better approach for punishing murder than is the death penalty. According to the 2019 Gallup death-penalty poll, 60% percent of Americans asked to choose whether the death penalty or life without possibility of parole "is the better penalty for murder" chose the life-sentencing option. 36% favored the death penalty.
Required:
a. Find a 95% confidence interval for the proportion adults in the US that now believe life imprisonment is a better approach for punishing murder.
b. Interpret your interval above in the context of this problem.
c. Use your interval to find the margin of error associated with this confidence interval.
d. If we increase the level of confidence to 98%, will the interval be wider or narrower?
Answer:
a
The 95% confidence interval is \(0.5753< p <0.62474\)
b
This 95% confidence interval tell us that there 95% confidence that the true proportion of adults in the US that now believe life imprisonment is a better approach for punishing murder lies within the interval
c
The margin of error is \(E = 0.02474 \)
d
The confidence interval becomes wider
Step-by-step explanation:
From the question we are told that
The sample size is n = 1506
The sample proportion is \(\^ p = 0.60\)
From the question we are told the confidence level is 95% , hence the level of significance is
\(\alpha = (100 - 95 ) \%\)
=> \(\alpha = 0.05\)
Generally from the normal distribution table the critical value of \(\frac{\alpha }{2}\) is
\(Z_{\frac{\alpha }{2} } = 1.96\)
Generally the margin of error is mathematically represented as
\(E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} } \)
=> \(E = 1.96 * \sqrt{\frac{0.60 (1- 0.60)}{1506} } \)
=> \(E = 0.02474 \)
Generally 95% confidence interval is mathematically represented as
\(\^ p -E < p < \^ p +E\)
=> \(0.60 - 0.02474 < p <0.60 + 0.02474\)
=> \(0.5753< p <0.62474\)
This 95% confidence interval tell us that there 95% confidence that the true proportion of adults in the US that now believe life imprisonment is a better approach for punishing murder lies within the interval
Generally the level of confidence varies directly with the critical value of \(\frac{\alpha }{2}\) and this in turn varies directly with the margin of error which when sample proportion is constant it determines the width of the confidence interval so when the level of confidence increases the confidence interval becomes wider
Is ABC similar to DEF? why or why not
Answer:
What is the triangle?
Can you edit your question to contain a picture of the triangle so I can give you a definite answer?
Step-by-step explanation:
May I have brainliest please? :)
16 of the 40 penguins at the Edgewood Zoo were born at the zoo.
Shade the grid to show the fraction of the penguins that were born at the zoo.
While we cannot shade the grid because it is not provided, the fraction of the penguins born at the zoo is 2/5.
What is the fraction?A fraction is a part or portion of a value or quantity.
A fraction is obtained as the quotient of the numerator divided by the denominator.
The types of fractions include:
Simple fractionsProper fractionsComplex fractionsImproper fractions.The number of penguins born at the Edgewood Zoo = 16
The total number of penguins at the Edgewood Zoo = 40
16/40 = 4/10 = 2/5 or 40%
Thus, we can conclude that 2/5 of the penguins were born at the zoo.
Learn more about fractions at https://brainly.com/question/17220365
#SPJ1
ASAP NEDDDD HELPPPPPP
By translation, the image of the triangle X is equivalent to the triangle E.
How to determine the image of a figure by rigid transformations
Herein we find the representation of a triangle, whose vertices are described below:
A(x, y) = (5, 5), B(x, y) = (5, 6), C(x, y) = (7, 5)
Whose image must be determined by a rigid transformation known as translation:
P'(x, y) = P(x, y) + T(x, y)
Where:
P(x, y) - Original point.P'(x, y) - Image of the point.T(x, y) - Translation vector.Now we proceed to determine the images of the vertices of the triangle:
A'(x, y) = (5, 5) + (4, - 3)
A'(x, y) = (9, 2)
B'(x, y) = (5, 6) + (4, - 3)
B'(x, y) = (9, 3)
C'(x, y) = (7, 5) + (4, - 3)
C'(x, y) = (11, 2)
Therefore, the triangle E is the image of the triangle X.
To learn more on translations: https://brainly.com/question/12463306
#SPJ1
The school that Brenda goes to is selling tickets to a fall musical. On the first day of the ticket
sales the school sold 4 senior citizen tickets and 6 child tickets for a total of $76. The school
took in $23 on the second day by selling 1 senior citizen ticket and 2 child tickets. What is the
price of one senior citizen ticket and one child ticket?
We can form two equations, let the price of a senior ticket be s and the price of a child ticket be c.
We have from day 1:
A: 3s + 9c = 75
And from day 2:
B: 8s + 5c = 67
Now we can rewrite A as:
A: 24s + 72c = 600
And can rewrite B as:
B: 24s + 15c = 201
Now A-B can be written as:
A-B: 57c = 399
So c = 7
Now substituting this back into A we get:
A: 3s + 63 = 75
A: 3s = 12
So s = 4
We have the price of a senior ticket is $4 and the price of a child ticket is $7 (idk if this is right hope it is!!!)
Can someone please provide a step-by-step explanation for the answer?
If the universe of discourse is the real numbers, give the truth value of each of the
following propositions:
(a) ∀x∃y(x = y²)
(b) ∀x∃y(x² = y)
(c) ∃x∀y(xy = 0)
(d) ∀x∃y(x + y = 1)
The Propositions are resulting
(a) ∀x∃y(x = y²) is False
(b) ∀x∃y(x² = y) is True.
(c) ∃x∀y(xy = 0) is True.
(d) ∀x∃y(x + y = 1) is True.
(a) ∀x∃y(x = y²)
This proposition states that for every x, there exists a y such that x is equal to y². To determine the truth value, we need to check if this statement holds true for every value of x.
If we take any positive value for x, we can find a corresponding value of y that satisfies the equation.
For example, if x = 4, then y = 2 satisfies the equation since 4 = 2². Similarly, if x = 9, then y = 3 satisfies the equation since 9 = 3².
Therefore, the proposition (a) is false.
(b) ∀x∃y(x² = y)
For any given positive or negative value of x, we can find a corresponding value of y that satisfies the equation.
For example, if x = 4, then y = 2 satisfies the equation since 4² = 2. Similarly, if x = -4, then y = -2 satisfies the equation since (-4)² = -2.
Therefore, the proposition (b) is true.
(c) ∃x∀y(xy = 0)
The equation xy = 0 can only be satisfied if x = 0, regardless of the value of y. Therefore, there exists an x (x = 0) that makes the equation true for every y.
Therefore, the proposition (c) is true.
(d) ∀x∃y(x + y = 1)
To determine the truth value, we need to check if this statement holds true for every value of x.
If we take any value of x, we can find a corresponding value of y that satisfies the equation.
For example, if x = 2, then y = -1 satisfies the equation since 2 + (-1) = 1. Similarly, if x = 0, then y = 1 satisfies the equation since 0 + 1 = 1.
Therefore, the proposition (d) is true.
Learn more about Proposition here:
https://brainly.com/question/30695879
#SPJ1
John ran up and $88 Bill last Saturday the service was excellent so we decided to leave a 30% tip for the waitress how much was his tip
$26.40
ten percent is 88 divided by 10= 8.8
8.8 multiplied by 3 is 26.40
Consider the spreadsheet for Stone Age Surfboards provided below. Use this data to answer the following question(s), using the Standard Solver
.Stone Age Surfboards is a small manufacturer of two types of popular low-tide surfboards, the Graystone and the Lava models. The manufacturing process consists of two departments: fabrication and finishing. The fabrication department has 8 skilled workers, each of whom works 9.25 hours per day. The finishing department has 5 workers, each of whom works a 6-hour shift per day. Each pair of Graystone surfboards requires 2.5 labor hours in the fabrication department and 2 labor hours in finishing. The Lava model requires 4.2 labor-hours in fabrication and 3.6 labor-hours in finishing. The company operates 6 days a week. It makes a per unit profit of $40 on the Graystone model and $60 on the Lava model. The company anticipates selling at least twice as many Lava models as Graystone models.
1. What is the total number of hours used for fabrication?
2. What is the total profit generated?
3. What will be the total profit contribution from Lava surfboards?
4. If the unit profit on Graystone surfboards is increased by $10, what is the total profit generated?
5. Due to decreasing profits, if the production of Graystone surfboards is stopped, compute the total profit the firm can earn.
Based on the information provided, the total number of hours required for the finishing procedure will be 22.95.
The total amount of hours necessary to complete 4.1 Rockwell models will be,
= 1.5 × 4.1 = 6.15 hours.
The total amount of labor hours required to complete 8.4 limestone models is
= 2 × 8.4 = 16.8 hours
As a result, the total number of labor hours necessary will be:
6.15 hours plus 16.8 hours
= 22.95 hours
The definition of cash flow statements, also known as statement of funds flows, show the flow of entering and exiting cash. This statement evaluates the enterprise's ability to create and utilise cash. This statement is one of the methods used to measure the enterprise's liquidity and solvency.
A cash flow statement is a type of financial statement that displays entire information. Including cash inflows from ongoing operations and external financing sources, as well as all cash outflows that pay for trade activities and finances throughout a certain time period.
To learn more about cash flow
brainly.com/question/25692769
#SPJ4
Find the values of x in the figure below. Express your answer in simplest radical form.
Answer:
Step-by-step explanation:I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me...
Find the number that makes the ratio equivalent to 1:6.
5:
Answer:
5:30
Step-by-step explanation:
For 2 ratios to be equivalent they must be proportionate and have the same relationship. In the first ratio, the first number is 1, while in the second it is 5. This means the ratio was multiplied by 5. For the ratios to stay proportionate the second number must also be multiplied by 5. Since 6*5=30 the new ratio is 5:30
For a fixed loan amount, what happens to the monthly payment as the annual rate increases? a. as the annual rate increases, the monthly payment increases c. as the annual rate increases, the monthly payment stays the same b. as the annual rate increases, the monthly payment decreases d. no correlation Please select the best answer from the choices provided A B C D
Answer:
C
Step-by-step explanation:
looked up on Quizlet so yeah
There are 4 seats available at a table in the lunch room of an elementary school, and 12 students are looking for seats. In how many ways can the seats at the table be filled with 4 of these 12 students?
495
2,970
11,880
20,736
Answer:
495
Step-by-step explanation:
12 Choose 4 = (12!) / 4! 8! = (12 · 11 · 10 · 9) / (4 · 3 · 2) = 495
Solve the inequality below. Use the drop-down menus to describe the solution and its graph. 7 13 11 Click the arrows to choose an answer from each menu. The solution to the inequality is Choose.... Choose... A graph of the solution should have Choose.... and be shaded to the
Answer:
\(x \leq -4\)
There will be a filled-in hole at -4.
Step-by-step explanation:
We can solve an inequality the same way we do for equations. The only thing to keep in mind, is that multiplying by a negative number will result in flipping the inequality sign (< to > and vice versa)
\(-7x + 13 \geq 41 \text{ //}-13\\-7x \geq 28 \text{ //}:-7 \text{ (Notice we multiply by a negative number.)}\\x \leq -4\)
The difference between a filled-in and an empty hole in terms of inequality graphs, is whether or not the number limiting the inequality is included in it.
For example, in x > 3, 3 is limiting the inequality, however, it is not included in it, therefore, x would always be greater than 3.
In another example, \(x \leq -4\), -4 is limiting inequality and is included in it. Therefore, x would always be less than or equal to -4.
A filled-in hole means the number is included in the inequality, while an empty one means it isn't.
In our cases, -4 is included in the inequality (notice the line under the inequality sign that resembles "less than or equal to"), therefore there will be a filled-in hole at -4.
Given: E is the midpoint of overline BD and overline AC perp overline BD .Prove : triangle BAE cong triangle DAE . Statement reason eis the midpoint of bd ac bd type of statement kote:- gd and ur cogmnents step given'
The ΔBAE is congruent to ΔDAE. ΔBAE and ΔDAE have three corresponding angles that are congruent, so they are congruent.
The Triangle Congruence Theorem states that if two triangles have three corresponding angles that are congruent, then the triangles are congruent.
This can be seen by looking at the angles BAE, BAE, and DAE. All three of these angles are equal, so they are congruent. Additionally, the side lengths of the triangles are the same, so the triangles are also congruent. The Triangle Congruence Theorem is an important tool for determining the congruence of two triangles.
It is used to compare the angles and side lengths of two triangles, and if the angles and side lengths are the same, then the triangles are congruent. When ΔBAE and ΔDAE have the same angles and side lengths, then it is clear that they are congruent.
According to question,
E is the midpoint of,
AC⊥ BD,
As given E is the midpoint of the line ,
So, BE = ED,
further, line AE = AE, because this is the common line between the two triangles.
Also, ∠BED =∠DEA =90°, as AC⊥ BD.
Therefore, the ΔBAE is congruent to ΔDAE.
To know more about Congruent Triangle:
brainly.com/question/2938476
#SPJ4
EL
2. Robyn and Rachel bought a set of CDs for £20. Robyn paid £11
and Rachel £9. What percentage of the total cost did each pay?
Answer:
jjee
Step-by-step explanation: