type 43 words per minute. If she maintains her typing speed without a break, how many words can she type in 2 hours and 15 minutes?

There are a total of 2000 workers in​ all in the company

From the question, we have the following parameters that can be used in our computation:

Women percentage = 80%

People not women = 400

Using the above as a guide, we have the following:

People not women percentage = 1 - 80%

Evaluate

People not women percentage = 20%

So, we have

People not women = People not women percentage * Total

substitute the known values in the above equation, so, we have the following representation

20% * Total = 400

Divide

Total = 2000

Hence. there are 2000 people in the company

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The calculated area of each piece is 1/12 acre

If Barry buys a plot of land that measures 1/4 acre, then the total area of the land is 1/4 acre.

If he divides the land into 3 equal pieces, then each piece will have 1/3 of the total area.

So the area of each piece will be:

Area of each piece = (1/3) x (1/4) acre

Multiplying the fractions, we get:

Area of each piece = 1/12 acre

Therefore, each piece of land will have an area of 1/12 acre.

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As a result, the square office's carpet replacement would cost $786.69 in total as where a square meter costs $87.41.

The geometric shape of a square has 4 equal ends and four equal, right-angled angles (90 degrees). It is an unusual instance of a rectangle with equal sides. The symbol "" is frequently used to denote a square, which is a two-dimensional figure. A square's area is equal to the sum of its sides doubled, or s2, where s denotes the width of a side. The circumference of a square, or 4s, where s is the height of a side, is the total of the lengths among all four sides. Many real-world uses for squares can be found in the fields of mathematics, architecture, construction, and design.

given

The square office's area is:

[tex]C = 9 \times $87.41 = $786.69[/tex]

A = s2 = 3 2 = 9 metres square

To completely replace the carpet, it would cost:

Cost per square meter equals C = A.

where a square meter costs $87.41. When we change the values, we obtain:

As a result, the square office's carpet replacement would cost $786.69 in total as where a square meter costs $87.41.

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Answer:

The answer is D. 4(sqrt(5))

Step-by-step explanation:

To find this we use the Pythagorean Theorem a^2+b^=c^2

So making 4 = to a, and 8 = to, and x = to, we do

4^2+8^2= 80

Then we take the square root of 80 to find the missing side, which is equal to 4(sqrt(5)

Good luck!

Using limits the value of k is c √2

The limit of a function is the valuer the function tends to as the dependent variable tends to a particular value.

Given that the limit lim n → ∞ [x√(x + 1)[1 - √(2x + 3)]/(7 - 6x + kx²) = - 1, we desirte to find the value of k.

So, we proceed as follows

lim n → ∞ [x√(x + 1)[1 - √(2x + 3)]/(7 - 6x + kx²) = - 1

Factorizing out √2x, we have that

lim n → ∞ [x√(x + 1)[1 - √(2x√(1 + 3/√(2x)]/(7 - 6x + kx²) = - 1

lim n → ∞ [x√(x + 1)√(2x[1/√(2x - √(1 + 3/√(2x)]/(7 - 6x + kx²) = - 1

Also, factorizing out √x, we have that

lim n → ∞ [x√x√(1 + 1/√x)√2x[1/√(2x - √(1 + 3/√(2x)]/(7 - 6x + kx²) = - 1

lim n → ∞ [x√x√2x√(1 + 1/√x)[1/√(2x - √(1 + 3/√(2x)]/(7 - 6x + kx²) = - 1

lim n → ∞ [x√2x√(1 + 1/√x)[1/√(2x - √(1 + 3/√(2x)]/(7 - 6x + kx²) = - 1

lim n → ∞ [√2x²√(1 + 1/√x)[1/√(2x - √(1 + 3/√(2x)]/(7 - 6x + kx²) = - 1

Factorizing x² from the denominator, we have that

lim n → ∞ [√2x²√(1 + 1/√x)[1/√(2x - √(1 + 3/√(2x)]/x²(7/x² - 6/x + k) = - 1

lim n → ∞ [√2√(1 + 1/√x)[1/√(2x - √(1 + 3/√(2x)]/(7/x² - 6/x + k) = - 1

Now substituting x = ∞ into the equation, we have that

[√2√(1 + 1/√∞)[1/√(2∞ - √(1 + 3/√(2∞)]/(7/∞² - 6/∞ + k) = - 1

[√2√(1 + 0)[0 - √(1 + 0]/(0 - 0 + k) = - 1

[√2√(1)[- √1]/k = - 1

[√2(1)[- 1]/k = - 1

-√2/k = - 1

k = -√2/-1

k = √2

So, the value of k is c √2

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The probability of rolling a number greater than 2 is 2/3

From the question, we have the following parameters that can be used in our computation:

Rolling a number cube once

Using the above as a guide, we have the following:

Sample space,  S = {1, 2, 3, 4, 5, 6}

In the above sample space, we have

Outcomes greater than 2 = {3, 4, 5, 6}

So, we have

P(greater than 2) = n(Outcomes greater than 2)/n(Sample space)

Substitute the known values in the above equation, so, we have the following representation

P(greater than 2) = 4/6

When evaluated, we have

P(greater than 2) = 2/3

Hence, the probability is 2/3

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Answer:

(a) The product xy is negative because one of the factors (x) is negative and the other factor (y) is positive. Therefore, the sign of xy is negative.

(b) The expression x^2y is also negative because x^2 is positive (the square of any real number is positive) and y is positive, so their product is positive. But since x is negative, the overall product is negative.

(c) The expression x/y + x can be written as (x/x)y + x, which simplifies to y + x. Since y is positive and x is negative, the sum y + x could be either positive or negative, depending on which absolute value is greater. If |y| > |x|, then y + x is positive. If |x| > |y|, then y + x is negative.

(d) The expression y-x is positive because y is greater than x and y is positive while x is negative. So the difference y-x is positive.

Answer:

a) The scale factor is [tex]\frac{4}{5}[/tex]

b) [tex]t=5\frac{3}{5}[/tex]

Step-by-step explanation:

The scale factor from shape A to shape B is the value that is multiplied by the side measures of shape A to arrive at the side measures of shape B.

In other words, 5 times a certain value is 4, 15 times a certain value is 12. and 7 times a certain value is t.

Let's start by calling our "certain value" k.

[tex]5k=4=\\k=\frac{4}{5}[/tex]

Let's check 15 to make sure k is 4/5, like so:

[tex]15(\frac{4}{5})=\\\frac{60}{5} =\\12[/tex]

Since 15 times 4/5 is twelve, our initial answer was correct.

So, the scale factor, or k, is 4/5.

Following this logic, we know that 7 multiplied by the scale factor is equal to t.

Let's set up an equation and solve for t:

[tex]7(\frac{4}{5} )=t=\\\frac{28}{5} =t=\\5\frac{3}{5} =t[/tex]

So, [tex]t=5\frac{3}{5}[/tex]

An equation that will produce the graph shown above include the following: D. 5x² + 5y² = 80.

In Mathematics and Geometry, the standard form of the equation of a circle is represented by the following mathematical equation;

(x - h)² + (y - k)² = r²

Where:

Based on the information provided above, we have the following parameters:

Radius, r = √16 = √80/5

Center, (h, k) = (0, 0).

By substituting the given parameters into the equation of a circle formula, we have the following;

(x - h)² + (y - k)² = r²

(x - 0)² + (y - 0)² = (√80/5)²

5x² + 5y² = 80.

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The total number of students going on the band trip is 45.

Let's denote the total number of students going on the band trip as "x". According to the given information:

Initially, only 1/3 of the students were on the bus, which means (1/3)x students were on the bus.

After 21 students got on the bus, the number of students on the bus increased to 4/5 of the total number of students going on the trip, which is (4/5)x students.

We can create an equation based on this information:

(1/3)x + 21 = (4/5)x

To solve for "x", we can follow these steps:

Subtract (1/3)x from both sides of the equation to isolate the "x" term on one side:

(1/3)x + 21 - (1/3)x = (4/5)x - (1/3)x

21 = (7/15)x

Multiply both sides of the equation by 15/7 to eliminate the fraction:

(15/7) * 21 = (15/7) * (7/15)x

45 = x

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The values of x, y and z are given as follows:

The geometric mean theorem states that the length of the altitude drawn from the right angle of a triangle to its hypotenuse is equal to the geometric mean of the lengths of the segments formed on the hypotenuse.

The bases for the triangle in this problem are given as follows:

6 and 19.

Hence the segment x is obtained as follows:

x² = 6 x 19

x = sqrt(6 x 19)

x = 10.68.

Applying the Pythagorean Theorem, the value of y is given as follows:

y² = 6² + 10.68²

y = sqrt(6² + 10.68²)

y = 12.25.

The value of z is given as follows:

z² = 10.68² + 19²

z = sqrt(10.68² + 19²)

z = 21.8.

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To find the simple interest earned on an investment, we use the formula:

I = P * r * t

Where:

I = simple interest earned

P = principal amount invested

r = annual interest rate (as a decimal)

t = time period of investment (in years)

In this case, we have:

P = $9,900

r = 7.8% = 0.078 (since the rate is given as an annual rate, we need to divide by 100 to get the decimal equivalent)

t = 24 months / 12 months/year = 2 years

Substituting these values into the formula, we get:

I = 9,900 * 0.078 * 2

= $1,545.60

Therefore, the simple interest earned on the investment is $1,545.60.

An equation that shows the relationship between the print time in minutes, x, and the number of pages printed, y is y = 32x

The equation that shows the relationship between the print time in minutes, x, and the number of pages printed, y, can be obtained using the following formula:

y = r * x

where r represents the rate of printing in pages per minute, which in this case is 32 pages per minute.

Therefore, the equation becomes:

y = 32x

This equation states that the number of pages printed, y, is directly proportional to the print time in minutes, x, at a rate of 32 pages per minute.

For example, if Mr. Hernandez wants to print 128 pages, we can use the equation to find out how long it will take him:

128 = 32x

x = 128/32

x = 4

Therefore, it will take Mr. Hernandez 4 minutes to print 128 pages on his high-speed printer.

In summary, the equation y = 32x represents the relationship between the print time in minutes, x, and the number of pages printed, y, when using a high-speed printer that can produce 32 pages per minute.

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The direct write-off method and the allowance method are two different ways of accounting for uncollectible accounts receivable.

When an account is found to be uncollectible, the direct write-off method records the expense for uncollected accounts receivable. This approach involves simply writing off the uncollectible account as a bad debt expense and deducting the outstanding quantity from the accounts receivable total.

Despite being quite easy to understand and basic, this method does not adhere to generally accepted accounting principles (GAAP) because it does not match expenses to the time period during which income was generated.

In contrast, the allowance approach establishes an allowance for doubtful accounts contra-asset account and estimates the amount of uncollectible accounts before recognizing the expense for uncollected accounts receivable.

This allowance account is used to lower the balance of accounts receivable to the anticipated amount of collection. Instead of when the account is found to be uncollectible, the expense is recognized at the time the estimate is made. Because it matches the expense to the time period in which the revenue was received, this method is thought to be more accurate than the direct write-off method.

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Answer:

$23.30

Step-by-step explanation:

We Know

You paid $6.99

The shirt was 70% off

$6.99 = 30%

What was the original price of the shirt?

We Take

(6.99 ÷ 30) x 100 = $23.30

So, the original price is $23.30

Answer:

x<1

Step-by-step explanation:

looking at the graph, the x values are 0,-1,-2,-3,-4,-5.

therefore, all the values of x are below 1.

x<1 is the suitable inequality that matches the graph.

The true expression about the account is D.) It is the sum of the initial amount and the additional amount after d days.

The answer is D because it represents the sum of the initial amount and the additional amount after d days. The initial amount is $10 and Owen adds $0.50 to the account each day for a number of days, represented by d.

By subtracting 1 from d, the expression ensures that on the first day (when d=1), only the initial $10 is counted. On each subsequent day, the additional amount of $0.50 is added to the total. Therefore, the expression 10+0.5(d−1) gives the amount of money in Owen's account after d days.

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Answer:

y =- [tex]\frac{3}{4}[/tex] x + 1

Step-by-step explanation:

This is a linear equation: y = mx + b

A relationship between two definitions can be seen through the idea of magnitude or distance.

Finding an absolute value of a number requires us to inspect the difference between that figure and zero on a number line; this amount is always positive regardless of whether the initial number was negative or positive. To illustrate, the absolute value of -5 is 5 since there is only five units separating it from zero.

The absolute value primarily entails a totality- recognizing the entirety of someone's peculiarity independent of their direction. It serves as a method of measuring the scope or size of a number without any external parameters or assessment.

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A line plot that represents the data is shown in the image attached below.

A fraction of an hour which Rita spend most days writing is 3/4.

The difference between the greatest amount of time spend writing and the least is 3/4.

In Mathematics and Statistics, a line plot is a type of graph that is used for the graphical representation of data set above a number line, while using crosses, dots, or any other mathematical symbol.

In this scenario and exercise, we would use an online graphing calculator to graphically represent the given data set on a line plot as shown in the image attached below.

Additionally, we can logically deduce that the mode of the data set is equal to 3/4 (the fraction of an hour Rita spend most days writing) because it has the highest frequency of 5.

Difference = greatest amount of time - least amount of time

Difference = 1 - 1/4

Difference = 3/4.

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Answer:

Step-by-step explanation:

125 pounds decreased by 4%  it would be 120 because 4% of 125 is 5, so you subtract 5 from 125 and then you get 120.

Answer:

(a) 56%

(b) 28%

Step-by-step explanation:

Hope this helps! :)

a) Jill receives £45

b) Jack receives £20 the following Christmas

c) Jack will be 5/4 years old, which is equivalent to 1 year and 3 months when he receives £25 from Uncle Fred.

Explain the term years

Years are a unit of time measurement used to quantify the duration of one complete orbit of the Earth around the sun. A year consists of 365 days, except in a leap year when an extra day is added. The concept of a year is used in various fields, including astronomy, geology, and history.

According to the given information

(a) Let's first find the total ratio of their ages:

1 + 3 = 4

So Jack's share will be:

1/4 x £60 = £15

And Jill's share will be:

3/4 x £60 = £45

Therefore, Jill receives £45.

(b) The next Christmas, Jack will be 2 and Jill will be 4. We can use the same ratio to find Jack's share:

2/6 x £60 = £20

So Jack receives £20.

(c) Let x be the age of Jack when he receives £25 from Uncle Fred. We know that:

1/4 x £60 = £25

Multiplying both sides by 4/60, we get:

x = 5/4

So Jack will be 5/4 years old, which is equivalent to 1 year and 3 months, when he receives £25 from Uncle Fred.

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Answer: #1

Step-by-step explanation:

In situation number one, the equation for the garden's area would be [tex]x^2[/tex] which is nonlinear. The other questions map to linear equations in the form [tex]y = mx + b[/tex]

Answer:

Linear relationship always produces a straight line and are without exponential.

2.the height, y, of a 6-foot tree that grows 0.2 feet per month for x months

3.the total cost, y, of a ski rental from a company that charges $15 plus an additional $8 per day rented for x days

4. the total miles, y, traveled by a car going 62 miles per hour in x hours

Step-by-step explanation:

Hope this helps! =D

Answer:

The distance between points (4, -2) and (4,4) on a coordinate plane is 6 units. This is because the two points lie on the same vertical line, where the x-coordinate remains constant at 4. To find the distance between them, we simply need to subtract their y-coordinates: 4 - (-2) = 6. Therefore, the distance between the two points is 6 units.

Therefore , the solution of the given problem of unitary method comes out to be you can purchase 30 sausage and 70 pepperoni pizzas to serve at your birthday party.

To complete the assignment, make use of the tried-and-true fundamental technique, the actual variables, and any insightful knowledge you gain from the general and detailed questions. In response, customers might be given another opportunity to sample the products. We will miss out on substantial expression gains in programming comprehension if these changes don't take place.

Here,

Let's use "p" for the quantity of pepperoni pizzas and "s" for the quantity of sausage pizzas. Finding p and s values that meet the requirements is necessary.

In light of the information provided:

One pepperoni pizza costs $8.

One sausage pizza costs $6.

100 pizzas are required.

Budget total: $740

To reflect the stated conditions, we can construct the following system of equations:

=> p + s = 100 (1)

=> 8p + 6s = 740 (2)

=> 8p + 8s = 800 (3)

=> 8p + 6s - (8p + 8s) = 740 - 800

=> -2s = -60

=> s = (-60)/(-2)

=> s = 30

=> p + 30 = 100

=> p = 100 - 30

=> p = 70

With a $740 budget, you can purchase 30 sausage and 70 pepperoni pizzas to serve at your birthday party.

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The p-value can also be calculated using a t-distribution table or a statistical software package. Using a two-tailed test with 7 degrees of freedom and a significance level of 0.05, we obtain a p-value of 0.073.

How to solve the question?

To determine whether the fitness program has had a significant effect on reducing employee absenteeism, we need to conduct a hypothesis test.

Null hypothesis: The average number of absences before and after the fitness program are the same.

Alternative hypothesis: The average number of absences after the fitness program is less than before the program.

To test this hypothesis, we can use a one-tailed paired t-test with a significance level of 0.05. We will calculate the difference between the number of absences before and after the program for each employee, and then compute the mean and standard deviation of the differences. The t-test statistic will then be calculated as the mean difference divided by the standard deviation of the differences, multiplied by the square root of the sample size.

Using the given data, we calculate the differences and obtain the following results:

Employee Before After Difference (d) d²

1 8 7 -1 1

2 7 3 -4 16

3 8 2 -6 36

4 8 4 -4 16

5 6 5 -1 1

6 7 10 3 9

7 6 4 -2 4

8 8 9 1 1

Mean difference (d-bar) = -1.25

Standard deviation of differences (s) = 3.27

Sample size (n) = 8

The t-test statistic can now be calculated as:

t = (d-bar / (s / √(n))) = (-1.25 / (3.27 / √(8))) = -1.63

The degrees of freedom for the t-test is n-1 = 7, which can be used to obtain the p-value from a t-table or calculator. Using a one-tailed test with a significance level of 0.05 and 7 degrees of freedom, the critical t-value is -1.895.

Since our calculated t-value (-1.63) is greater than the critical t-value (-1.895), we fail to reject the null hypothesis. In other words, we do not have sufficient evidence to conclude that the fitness program has resulted in a significant reduction in employee absenteeism.

The p-value can also be calculated using a t-distribution table or a statistical software package. Using a two-tailed test with 7 degrees of freedom and a significance level of 0.05, we obtain a p-value of 0.073. Since this p-value is greater than the significance level, we again fail to reject the null hypothesis.

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The figure given that has exactly two lines of symmetry is C. Rectangle.

A rectangle has two lines of symmetry.

A line of symmetry is a line that divides a shape into two equal parts that are mirror images of each other. In a rectangle, the two lines of symmetry run through the center of the rectangle, dividing it into two congruent halves. These lines of symmetry are perpendicular to each other and bisect both pairs of opposite sides of the rectangle.

Therefore, a rectangle has two lines of symmetry, one horizontal and one vertical, which make it a symmetrical shape.

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