In a sample of 16 employees randomly selected at a company, the average age is 25 years and the standard deviation is 2 years. We want to test if the average age of all employees is greater than 24. If ages are normally distributed in the population, using a significance level of 0.05, we can claim that the population mean is: Group of answer choices

Answer:5  13/24

Step-by-step explanation:

The correct answers is 5.54166667

→ 3 1/6 dividing

→ + 2 3/8 dividing and adding.

→ = 5.54166667

A number's square root multiplied by another number's square root does not always equal the total of these two numbers' square roots, thus the square root of 16 is equal to 4.

It is possible to multiply an integer by its square root in order to obtain the original value. Square root of, end square root is the symbol for this mathematical concept. Contrary to squaring, finding a number's square root is the reverse. For instance, 3 is squared at 9, 32, and its square root at 9, which is 9, is equal to 3. It is simple to multiply by 9 since it is a perfect square.

So, there is a reverse relationship between squaring and getting the square root.

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Answer:

Step-by-step explanation:

Let x = amount charged for washing a car

     y = amount charged for vacuuming a car

38 = 5x + 4y (1)

28 = 4x + 2y (2)

Can be solved by substitution or simply subtracting the (1) and (2) equation.

By Substitution:

38 = 5x + 4y --->  solve for x

38 - 4y = 5x (transposed 4y to the other side of the equation and it's sign changes from (+) to (-).

[tex]\frac{38-4y}{5} =x[/tex]

substitute the value of x to the (2) equation.

28 = 4x + 2 y

[tex]28=4(\frac{38-4y}{5})+2y[/tex]

[tex]28=\frac{152-16y}{5} +2y[/tex] , then multiply both side by 5 to eliminate the denominator 5.

140 = 152 - 16y + 10y (transposed 152 to the other side, change sign from (+) to (-)).

140 - 152 = -16y + 10 y

-12 = -6y (divide both side by (-6)

y =  2 or $2 (amount charged for vacuuming)

Using any of the 2 equation, we can solve for the value of x.

38 = 5x + 4 (2) (we substitute, the value of y)

38 - 8 = 5x

30/5 = x

x= 6 or $6 (amount charged for washing)

Answer:

The factorised form of the expression given 4x² +4x +1 according to the task content is; (2x+1) (2x+1).. What is the factorised form of the expression given in the task content? It follows from the task content that the given expression is; 4x² +4x +1. Hence, it follows from factorisation convention that the expression above can be rewritten as;. 4x² +2x +2x +1

Step-by-step explanation:

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 4x {}^{2} + 4 x + 1[/tex]

[tex]\qquad \sf  \dashrightarrow \: 4 {x}^{2} + 2x + 2x + 1[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2x(2x + 1) + 1(2x + 1)[/tex]

[tex]\qquad \sf  \dashrightarrow \: (2x + 1) (2x + 1)[/tex]

[tex]\qquad \sf  \dashrightarrow \: (2x + 1)[/tex]

The required (factored) expression will be :

Answer:

Here is your answer

((7 * 4) ^ 8) ^ 10 =

(28 ^ 8) ^ 10 =

377801998336 ^ 10 = 59243745466425005914454309773057597308923913133540598788947321202681255877119822027605832529210827998599338289790976

Step-by-step explanation:

The balance after 4 years if the interest is compounded continuously can be calculated using the formula for continuous compounding:

A = Pe^rt

where A is the balance after the period, P is the initial principal, r is the interest rate, and t is the time in years.

In this case, the initial principal is $12,000, the interest rate is 3%, and the time is 4 years.

A = 12000 * e^(0.03*4)

A = 12000 * e^0.12

A = 12000 * 1.128037

A = $13,529.96

Answer:

2

Step-by-step explanation:

Since k= -5/2 then -k is the opposite sign or 5/2

5/2 + 3/2 = 8/2

8/2 = 4

4 + (-2) is the same as 4-2

4-2 = 2

Answer: 2

Answer: 2

Step-by-step explanation:

The value of K is given as -5/2, so let's use it to solve the equation.

When you substitute -5/2 for k, you'll get

3/2+5/2-2 = 4-2=2

Therefore, the answer is 2.

Answer:

No function is shown

Step-by-step explanation:

A statement which is supported by the information in the graph include the following: A. exactly 42% of the students chose green, black, or purple as their favorite color.

In order to determine the true statement based on the information provided in the given bar chart, we would calculate the total number of students as follows;

Total number of students = 6 + 4 + 8 + 7 + 9 + 3 + 4 + 9

Total number of students = 50 students.

For the number of students who chose green as their favorite color, we have the following:

Green = 6/50 × 100

Green = 0.14 × 100

Green = 14%.

For the number of students who chose black as their favorite color, we have the following:

Black = 8/50 × 100

Black = 0.16 × 100

Black = 16%.

For the number of students who chose purple as their favorite color, we have the following:

Purple = 6/50 × 100

Purple = 0.12 × 100

Purple = 12%.

Total percentage = 14% + 16% + 12%

Total percentage = 42%

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The requried solutions are,

(A) The given probability model represents all the possible probabilities between 0 and 1.
(B) The probability that a student won't win extra recess time is 0.95.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

here,
(a)
The given probability model represents all the possible probabilities between 0 and 1, probabilities add up to 1.

(b)
The probability that a student won't win extra recess time is given as,
= 1 - p[student will win extra recess time]

= 1 - 0.05
= 0.95

Thus, the requried solutions are given above.

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Answer:

Step-by-step explanation:

The mean would  be 11.857142857143 , so basically 11.9

The mean life span of the given farm animals is approximately 11.9 years, obtained by adding up all the individual life spans and dividing the total by the number of animals.

The question asks for the mean, or average, of the life spans of various farm animals. Here's how we calculate it:

Therefore, the mean life span of these farm animals is approximately 11.9 years, which corresponds to option B.

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Answer: $15

Step-by-step explanation:  1.25 X 12 = 15

Answer:

The price before the discount is $ 16

Step-by-step explanation:

There are 4 ways to increase profit: Cost-cutting, increased turnover, productivity gains, and efficiency gains are among them.

Businesses can raise revenues by selling more products or services, raising pricing, or some combination of these to enhance net margin. By lowering expenses, businesses may boost their net margin (e.g., finding cheaper sources for raw materials).

Developing and securing healthy revenues depends on strong customer connections. Customers should be matched to relationships, relationship migration pathways should be established to further integrate major accounts, and marketing should take the lead in all of these areas. Relationships should range from arm's length to deeply integrated.

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Kyle's fixed monthly salary in dollars $1800 and fixed percentage of his total sales for the month is 5%.

Fixed pay, also known as a fixed salary, is the predetermined and set sum that an employer pays to a worker at the conclusion of each payroll cycle. The term "fixed pay" refers to all compensation that the company guarantees, most frequently in the form of a monthly or annual salary.

We let his fixed monthly salary be x & his fixed percentage be y so our equations will be:

2,550 = x + 15,000y

3,050 = x + 25,000y

Subtract the equations

 3,050 = x + 25,000y

- 2,550 = x + 15,000y

500 = 10,000y

y = 10000/500

y = 0.05 or 5%

Potting the value of in first equation we get,

2,550 = x + 750

x = 2,550 - 750

x = $1800

Thus, Kyle's fixed monthly salary in dollars $1800 and fixed percentage of his total sales for the month is 5%.

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Answer:

Step-by-step explanation:

take -5 and times it by -3 and it will equal a positive 15

so its -5

The probability that the number is greater than 78 is 22/100 or 22%.

1. There are a total of 100 numbers in the bag.

2. Out of the 100 numbers, 78 are less than 78.

3. Therefore, there are 22 numbers that are greater than 78.

4. The probability of selecting a number greater than 78 is 22/100 or 22%.

Josephine wrote the numbers one to one hundred and placed them in a bag. If he randomly selects a number without looking, what is the probability that the number is greater than seventy-eight? The probability that the number is greater than seventy-eight is twenty-two out of one hundred, or twenty-two percent. This is because there are a total of one hundred numbers in the bag, and out of those one hundred numbers, seventy-eight are less than seventy-eight. Therefore, there are twenty-two numbers that are greater than seventy-eight. The probability of selecting a number greater than seventy-eight is twenty-two out of one hundred, or twenty-two percent.

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The answer is 21%

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”

Given here: Dylan opened a credit card account with $625.00 of available credit. Now that he has made some purchases, Dylan's account only has $493.75 of available credit.

Thus change in amount is 625-493.75=131.25

percentage change = 131.25/625 × 100

                                 = 21%

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Answer:

[tex]4^2+3|4(-2)-9|\\16+3|-17|\\16+51\\\boxed{67}[/tex]

The center point of the dilation is located, and the distances between this center point and various points on the preimage and the image are measured in order to determine the scale factor for the dilation. According to Math Bits Notebook, we can determine the scale factor by dividing these distances by two.

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No, Dave is not correct. The quadrilateral with 4 right angles is a rectangle as well as square.

Square: 4 equal sides, four internal right angles, plus four vertices make up the flat, two-dimensional (2D) shape known as a square.

Specifications of a Square

Rectangle: A rectangle is indeed a two-dimensional form with equal lengths on both sides. It has four vertices and four equal angles. A rectangle's four angles are all 90° in angle.

Rectangle's Qualities:

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The greatest common factor of 18 and 6 is 6

The greatest common factor is defined as the largest number that is a factor of two or more numbers. For example, the GCF of 24 and 36 is 12, because the largest factor that is shared by 24 and 36 is 12. 24 and 36 have other factors in common, but 12 is the largest.

To find the greatest common factor between 18 and 6, we have to find the common factors of 28 and 6

The factors of 18 are: 1, 2,3,6,,9,18

The factors of 6 are: 1,2,3,6

The common factors are: 1,2,3,6

the greatest common factor is 6

Therefore the greatest common factor of 18 and 6 is 6

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Therefore , the solution of the given problem of quadratic equation comes out to be F = u²/g −H/g.

A quadratic algebraic in a single variable x2+ cx +z =0 which is a quadratic equation. a 0. The fact that this quadratic is of second order guarantees you it has at least single solution according to the Foundational Theorem of Algebra. Solutions could be straightforward or difficult. A quadratic equation is one that has four variables. This suggests that at least on word in it ought to be squared. One of the common formulas for solving quadratic equations is "ax2 + bx + c = 0." where the undefined variable "X" is represented by the integer values or integers a, b, and c.

Here,

Given : √gF+H = u

On squaring both side :

=>gF + H = u²

=> gF= u²− H  by  g

.=>gF/g =u²/ g + (−H)/g

Simplify the left side.

=>F=u²/g + (−H)/g

=>F = u²/g −H/g

Therefore , the solution of the given problem of quadratic equation comes out to be F = u²/g −H/g.

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From the AAS to triangle PRQ is congruent to triangle PRS. The correct option is A.

A triangle, which is a polygon, has three sides and three vertices. One of geometry's basic shapes is it. A triangle with the vertices A, B, and C is referred to as Triangle ABC.

When the three points are not collinear, Euclidean geometry reveals a singular plane and triangle. A triangle is a type of polygon because it has three sides and three corners. The three sides' end-to-end intersections are referred to as the triangle's corners. The sum of the three triangle angles is 180 degrees.

Given

PQ = 12 units and PS = 12 units, with PR dividing ZQPS.

OA validates AAS's triangular display. The triangle is consistent with PRQ. Triangle is shown by SAS thanks to PRS OC. The triangle is consistent with PRQ. SEP

Every matching portion of one triangle is congruent to the other if two triangles are congruent.

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For the year in which they earned $176,500, the partners will receive $52,950, $35,300, and $88,250 respectively.

Here let the partners be A, B, and C.

According to the question, A: B: C = 3: 2: 5

This implies that if the profits are divided into

3 + 2 + 5 = 10 equal parts, 3 of those parts will go to A, 2 of those parts will go to B and 5 of those parts will go to C.

Here the profits for the year are $176,500.

Now dividing them into 10 equal parts will give us the value of each part to be

$176, 500/10 = $17,650

Hence A will receive $17,650 X 3 = $52,950

B will receive $17,650 X 2 = $35,300

C will receive $17,650 X 5 = $88,250

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Answer:

see explanation

Step-by-step explanation:

• the opposite angles of a parallelogram are congruent.

Then

∠ 2 = ∠ 1

and

∠ 4 = ∠ 1

and

∠ 3 = ∠ 4

since ∠ 3 = ∠ 4 and ∠ 4 = ∠ 1 with ∠ 2 = ∠ 1 = ∠ 4

then

∠ 2 ≅ ∠ 3

By using the property of opposite angles of a parallelogram, we can say that ∠2 = ∠3.

A parallelogram is a special type of quadrilateral whose opposite sides are equal and parallel to each other. Another notable property of a parallelogram is that opposite angles are equal and sum of adjacent angles is 180 degrees.

Using the property that opposite angles of a parallelogram are equal,

In the parallelogram BEFG, ∠2 = ∠1 - equation 1

In the parallelogram DHJK, ∠4 = ∠3 - equation 2

In the parallelogram ABCD, ∠4 = ∠1 - equation 3

Equating equations 1, 2 and 3,

∠2 = ∠1 = ∠4 = ∠3

Thus implying,  ∠2 = ∠3.

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Answer:

The total number of numbers = 125

Answer:

A convex polygon's interior angle measure is given by the formula (n-2) * 180, where n is the number of sides of the polygon. So for a polygon with an interior angle sum of 900, we have (n-2) * 180 = 900. Solving for n, we get n = 5.

For a polygon with an interior angle sum of 2520, we have (n-2) * 180 = 2520. Solving for n, we get n = 14.

So the convex polygon with an interior angle sum of 900 is a pentagon, and the convex polygon with an interior angle sum of 2520 is a 14-gon.

Step-by-step explanation:

The total weekly earnings of Jenna before the taxes were taken out is

$255.85.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, Jenna earns $10.75 per hour working.

She worked a total of [tex]23\frac{4}{5}[/tex] hours last week.

Therefore, The total earnings of Jenna can be obtained by multiplying her rate per hour by the total number of hours she worked which is,

= 10.75×119/5.

= 10.75×23.8.

= $255.85.

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The least sum of squared errors cost function is used to determine the line of best fit. The least sum of squares error will be on the line of best fit.

What is linear regression?

When predicting a variable's value based on the value of another variable, linear regression analysis is utilized. The dependent variable is the one you want to be able to forecast. The independent variable is the one that you are utilizing to forecast the value of the other variable.

What does linear regression regression mean?

A regression is a statistical approach that links a dependent variable to one or more independent (explanatory) variables.

                         If there are changes in one or more of the explanatory variables, a regression model can demonstrate whether changes in the dependent variable are also related.

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The cost when h=8 hours is 4290.

c(x) = 12x + 450 and N(h) = 40h

We get,

C(N(h)) = 12 *(N(h)) + 450

= 12 * 40h + 450

= 480h + 450

So,

Cost when h = 8 -> 480*8 + 450 = 4290

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