An online news article posted the accompanying circle graph. If a total of million apps were​ downloaded, about how many of each kind of app was​ downloaded?
Games 30%
Social Media 30%
Music 35%
Video 5%

The minimum total cost of Mary's six lunches is $30.40.

To approach this problem, we need to consider the cost of each lunch individually and then sum them up to get the total cost. Let's start by finding the cost of Wednesday's lunch. We know that Friday's lunch cost 1.5 times as much as Wednesday's lunch, so we can write:

Friday's lunch = 1.5 x Wednesday's lunch

We also know that each lunch costs a multiple of 20 cents, so we can write:

Friday's lunch = $x, where x is a multiple of 20 cents

Wednesday's lunch = $y, where y is a multiple of 20 cents

Combining these two equations, we get:

$x = 1.5y

Since we're looking for the minimum total cost, we want to minimize the cost of each lunch. The cheapest lunch costs $4.40, which is equivalent to 22 multiples of 20 cents. So we can write:

$4.40 ≤ y ≤ $7.60

Now, we can use the information about Tuesday's lunch to find the cost of Thursday's lunch. We know that Tuesday's lunch cost $1.20 more than Thursday's lunch, so we can write:

Tuesday's lunch = Thursday's lunch + $1.20

Again, each lunch costs a multiple of 20 cents, so we can write:

Tuesday's lunch = $z, where z is a multiple of 20 cents

Thursday's lunch = $w, where w is a multiple of 20 cents

Combining these two equations, we get:

$z = w + $1.20

Now, we have two equations and two unknowns (x and y) and (z and w). We can solve these equations simultaneously to find the cost of each lunch. We get:

x = 1.5y

z = w + $1.20

We can substitute the first equation into the second equation to get:

z = 1.5y + $1.20

Now we have three equations and three unknowns (x, y, and z). We also know that each lunch costs a multiple of 20 cents, so we can write:

x = $a, where a is a multiple of 20 cents

y = $b, where b is a multiple of 20 cents

z = $c, where c is a multiple of 20 cents

Substituting these values into our equations, we get:

$a = 1.5b

$c = b + $1.20

$4.40 ≤ b ≤ $7.60

We can solve for b by substituting the second equation into the third equation:

$c = b + $1.20

$b = c - $1.20

Substituting this value of b into the first equation, we get:

$a = 1.5(c - $1.20)

$a = 1.5c - $1.80

Now, we can substitute these values into our equation for the total cost of Mary's six lunches:

Total cost = $a + $b + $c + $d + $e + $f

Total cost = $1.5c - $1.80 + $c + $b + $b + $c + $d + $e

Total cost = $4c - $1.80 + $b + $d + $e

We want to minimize the total cost, so we want to minimize each term in the above equation. We know that the minimum value of b is $4.40, and we want to choose c, d, and e to be as close to $4.40 as possible. This will minimize the total cost. The maximum value of c is $7.60, so we can choose c to be $7.60. We can then choose d and e to be $4.40 each, since these are the minimum possible values.

Substituting these values into our equation for the total cost, we get:

Total cost = $4c - $1.80 + $b + $d + $e

Total cost = $4($7.60) - $1.80 + $4.40 + $4.40

Total cost = $30.40

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Complete Question:

Mary worked from Monday to Saturday last week and bought lunch in the company's restaurant every day. Her lunches cost a different amount every day. Each lunch cost a multiple of 20¢.The most expensive lunch of the week cost $7.60 and the cheapest one cost $4.40.Friday's lunch cost exactly 1½ times as much as Wednesday's lunch. Tuesday's lunch cost $1.20 more than Thursday's lunch.

(a) What is the minimum total that Mary's six lunches last week could have cost?

In "Chi-Square-test" for the inde-pendence, "re-search-hypothesis" and "null-hypothesis" always contradict each other, the Option(a) is correct.

In the "Chi-Square" test for independence, the "Null-Hypothesis" (H₀) assumes that there is no association between the two categorical variables being tested, while the research hypothesis (Hₐ) proposes that there is a significant association between the variables.

These hypotheses are mutually exclusive and contradictory to each other.

If the "null-hypothesis" is rejected based on the results of the chi-square test, it implies that there is evidence to support the "research-hypothesis",  which indicates that there is a significant association between the variables.

Conversely, if "null-hypothesis" is not rejected, it suggests that there is not enough evidence to support the "research-hypothesis", and the conclusion would be that there is no significant association between the variables.

Therefore, the correct option is (a).

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The resulting two-dimensional shape is a square with an area of 72 square units.

The pyramid is a square right pyramid, the base is a square and the vertical height meets the base at its center. When the pyramid is sliced by a plane that passes vertically through the top vertex and is perpendicular to the base, the resulting two-dimensional shape is a square.

The plane section intersects the four triangular faces of the pyramid, creating four smaller triangles with the same shape and size. These four triangles can be rearranged to form a smaller square that is similar to the larger square base of the pyramid. The area of the plane section is equal to the area of the smaller square, which is proportional to the area of the larger square base. The proportionality constant is equal to the ratio of the height of the plane section to the height of the pyramid.

Let H be the height of the pyramid and h be the height of the plane section. Then, we have:

h/H = (side length of smaller square)/(side length of larger square)

= √(2)/2

Solving for h, we get:

h = (√(2)/2) * H

The area of the plane section is then:

A = (side length of smaller square)²

= (√2)/2 * side length of larger square)²

= (√(2)/2)² * (side length of larger square)²

= (1/2) * (side length of larger square)²

Since the side length of the larger square base is given, we can substitute it in and simplify to get:

A = (1/2) * (12)² = 72 square units

As a result, the resultant two-dimensional form is a square with 72 square units of area.

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Answer:

a) model a: 50/hr

model b: 40/hr

b) model a

Step-by-step explanation:

b) since the money raised started at 0, the rate of change can be found by calculating 400/8

If Pamela has registered for the first time, it will remain on the Do Not Call list permanently. If she has re-registered, it will remain on the list for an additional five years from the date of re-registration.

The length of time that Pamela's phone number will remain on the National Do Not Call Registry depends on whether she registered her number on the Do Not Call Registry for the first time or if she has re-registered her number after it has already been on the list for a while.

If Pamela registered her phone number for the first time, it will be added to the Do Not Call Registry within 31 days of her registration date. Her phone number will remain on the list permanently, unless she requests to remove it or the number is disconnected.

If Pamela has re-registered her phone number after it has already been on the list for a while, her number's registration will be extended for another five years from the date she re-registered it.

Therefore, if Pamela registered her phone number for the first time, it will remain on the list permanently. If she has re-registered her number, it will remain on the list for an additional five years from the date of re-registration.

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Project management services refer to the professional assistance and support provided to organizations to plan, execute, and manage projects effectively. These services may include a range of activities, such as project planning, scheduling, budgeting, risk management, stakeholder management, quality assurance, and project reporting.

Project management services can be provided by both internal and external professionals. Internal project managers are employees of the organization who are responsible for managing projects within the company.

External project management services can be hired from consulting firms, specialized project management companies, or freelance professionals who work independently.

Project management services can help ensure that projects are delivered on time, within budget, and to the required quality standards.

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Explain project Management Services

20% of the students surveyed did not choose soccer, football, or basketball as their favorite sport.

To find the percentage of students who did not choose soccer, football, or basketball as their favorite sport, we need to first find the total number of students who did not choose any of these sports.

Total number of students who chose soccer, football or basketball = 54 + 42 + 24 = 120

Number of students who did not choose any of these sports = 150 - 120 = 30

Therefore, the percentage of students who did not choose soccer, football or basketball as their favorite sport is:

(30/150) x 100% = 20%

So, 20% of the students surveyed did not choose soccer, football, or basketball as their favorite sport.

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--The complete Question is, Out of the 150 students surveyed, 54 chose soccer, 42 chose football, and 24 chose basketball. What percentage of the students surveyed did not choose soccer, football or basketball as their favorite sport? --

The head of the psychology department has employed a sampling technique called simple random sampling.

This technique involves selecting a sample from the population in such a way that every member of the population has an equal chance of being included in the sample.
In this case, the population of interest is all the psychology major students in the university.

The department head wants to understand their attitudes toward implementing an internship as a requirement for completing their degree.

To obtain a representative sample, she first compiles a list of all psychology majors.

Then, she randomly selects 100 students from this list to participate in her survey.
Simple random sampling is an effective method to ensure that the sample is unbiased and representative of the entire population.

It minimizes selection bias, as each student has an equal chance of being selected.

This allows the department head to generalize her findings and make valid inferences about the attitudes of all psychology students in the university.
To summarize, the department head employed a simple random sampling technique to gather information about students' attitudes towards implementing an internship as a requirement for completing their psychology degree.

This approach helps ensure the sample is representative and unbiased, allowing for accurate and generalizable conclusions.

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The empirical rule does not apply to this dataset because the empirical rule is used to describe data that is normally distributed.

The empirical rule is a statistical rule that states that for a normal distribution.

Approximately 68% of the data will fall within one standard deviation of the mean, 95% of the data will fall within two standard deviations of the mean, and 99.7% of the data will fall within three standard deviations of the mean.

The empirical rule does not apply to this dataset because the empirical rule is used to describe data that is normally distributed.

This dataset does not appear to be normally distributed, as evidenced by the large outlier (1 Insidi High Gross Revenue).

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Answer:

4/5-1/3=

12/15-5/15=7/5

Step-by-step explanation:

7/5

Hope this helps! =D

21 is the value of expression .

What is a mathematical expression?

A mathematical expression is a phrase that includes at least two numbers or variables, at least one arithmetic operation, and the expression itself. This mathematical operation may be addition, subtraction, multiplication, or division.

                               An expression's basic components are as follows: Expression: (Math Operator, Number/Variable, Math Operator). Any mathematical statement made up of numbers, variables, and an action between them is called an expression or an algebraic expression.

= (-7) (-3)

= 21

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Out of these powers, the highest is 5.

Therefore, the degree of the polynomial is 5.

The degree of a polynomial is the highest power of the variable in the polynomial. In the given polynomial, the highest power of x is 5,

so the degree of the polynomial is 5.

The degree of a polynomial is the highest power of the variable (x) in the expression.

In the polynomial you provided:
[tex]8x^5 + 4x^3 - 5x^2 - 9[/tex]
Let's identify the terms and their respective powers of x:
[tex]8x^5[/tex]has a power of 5.
[tex]4x^3[/tex]has a power of 3.
[tex]-5x^2[/tex] has a power of 2.

-9 is a constant term, so there is no power of x.

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Step-by-step explanation:

-27 [tex]\sqrt{72}[/tex]  = -27 [tex]\sqrt{36*2}[/tex]  = -27 (6) [tex]\sqrt{2}[/tex]   =      - 162 [tex]\sqrt{2}[/tex]    =   - 229.1  

Thus, the value of x for the given angle of cyclic quadrilateral is found as the x = 50.

When you hear the word "cyclic," think of the two round wheels on you bicycle. A quadrilateral is a figure with four sides. The result is a cyclic quadrilateral, which is defined as any four-sided shape (quadrilateral) its four vertices (corners) are located on a circle.

A cyclic quadrilateral's opposite angles add up to 180 degrees, making them supplementary to one another.

Given data:

Using the property of cyclic quadrilateral: sum of opposite angle are 180 degrees.

∠T + ∠R = 180

x + 60 + x + 20 = 180

2x + 80 = 180

2x = 180 - 80

2x = 100

x = 50

Thus, the value of x for the given angle of cyclic quadrilateral is found as the x = 50.

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The dimensions of Noah's Ark in feet are 450 feet by 75 feet if the dimensions of Noah's Ark is 3.0 × 102 cubits by 5.0 × 101 cubits.

Noah's Ark is said to have dimensions of 3.0 × 10^2 cubits by 5.0 × 10^1 cubits. To convert these measurements to feet, we can use the conversion factor of 1 cubit = 1.5 feet.

First, we need to convert the length of the ark from cubits to feet. To do this, we multiply the length of the ark in cubits (3.0 × 10^2) by the conversion factor of 1.5 feet/cubit. This gives us a length of

3.0 × 10^2 cubits x 1.5 feet/cubit = 450 feet

Similarly, we can convert the width of the ark from cubits to feet by multiplying the width in cubits (5.0 × 10^1) by the conversion factor of 1.5 feet/cubit. This gives us a width of:

5.0 × 10^1 cubits x 1.5 feet/cubit = 75 feet

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a) The probability that exactly two customers arrive between 2:00 p.m. and 4:00 p.m. is 0.0915 (or approximately 9.15%).

b) The probability of at least one customer arriving between 1:00 p.m. and 2:00 p.m. or between 3:00 p.m. and 4:00 p.m. is approximately 0.99999917.

For a Poisson process, the number of arrivals in a fixed time interval follows a Poisson distribution.

Let's denote the number of arrivals in a two-hour period as X.

Since the average number of arrivals per hour is 7, the average number of arrivals in a two-hour period is 14.

Therefore, we have λ = 14.

a) Probability of exactly 2 customers arriving between 2:00 p.m. and 4:00 p.m.:

Using the Poisson distribution formula, the probability of X arrivals in a two-hour period is:

[tex]P(X = x) = (e^{-\lambda} * \lambda^x) / x![/tex]

So, for X = 2, we have:

[tex]P(X = 2) = (e^{-14} * 14^2) / 2! = 0.0915[/tex] (rounded to four decimal places)

Therefore, the probability that exactly two customers arrive between 2:00 p.m. and 4:00 p.m. is 0.0915 (or approximately 9.15%).

b) Probability of at least one customer arriving between 1:00 p.m. and 2:00 p.m. or between 3:00 p.m. and 4:00 p.m.:

We can approach this problem by using the complementary probability. The complementary probability of at least one customer arriving in a two-hour period is the probability of no customers arriving in that period. Since the arrival rate is the same for each hour, we can divide the two-hour period into two one-hour periods and use the Poisson distribution formula for each period separately.

The probability of no customers arriving in a one-hour period with λ = 7 is:

[tex]P(X = 0) = (e^{-7}* 7^0) / 0! = 0.000911[/tex]

The probability of no customers arriving in a two-hour period is the product of the probabilities for each one-hour period:

P(no customers in two-hour period) = P(X = 0) * P(X = 0) = 0.000911 * 0.000911 = 8.30e-7

The complementary probability of at least one customer arriving in a two-hour period is:

P(at least one customer in two-hour period) = 1 - P(no customers in two-hour period) = 1 - 8.30e-7 = 0.99999917 (rounded to eight decimal places).

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The length of PR is 3√2

A triangle is a polygon with three sides and three angles. It is a two-dimensional figure with three straight sides that connect three non-collinear points. The sum of the angles in a triangle always adds up to 180 degrees.

Since triangle PQR is a right triangle,

Given PQ=3

m<R =45°

m<P =45°(sum of angles of triangle is 180°)

So, RQ=3

Using pythagoras theorem;

PR²=PQ+RQ²

PR=√3²+3²

PR=3√2

So the answer is option 4. 3√2

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Answer:

y = 3/5x + 3

Step-by-step explanation:

points on the graph

(-5,0) and (0,3)

0- 3 = -3

-5 - 0 = -5

-3/-5= 3/5

y = 3/5x + B

use a point from the graph

3 = 3/5 x 0 + B

3 = 0 + B

3 -0 = 3

3 = B

check answer

(-5,0)

Y = 3/5 x -5 + 3

Y = -15/3 + 3

Y = -3 + 3

Y = 0

Making the equation true y = 3/5x + 3

Answer: 5 m

Step-by-step explanation:

A radius is half of the diameter which is the black line. Hope this helps!

Answer:

The radius of the larger grass area is 5m

Step-by-step explanation:

d=2r

r=d/2

r=10/2

r=5m

Answer:

The answer is 1×10⁶ to the nearest whole number

Step-by-step explanation:

7.6×10⁰/5.4×10‐⁶

7.6×10^(0-(-6)/5.4

7.6×10^(0+6)/5.4

7.6×10⁶/5.4

=1×10⁶ to the nearest whole number

After completing the following steps, you will have the quadratic regression equation that models the data with values rounded to the nearest whole number. Keep in mind that you'll need specific data points to provide an actual equation.

To find the values that complete the quadratic regression equation for a given set of data, you'll need to follow these steps:

1. Organize the data points into a table with x-values and y-values.
2. Determine the sums of x, y, x², x³, x⁴, and xy.
3. Create a system of linear equations using the sums found in step 2.
4. Solve the system of linear equations to find the coefficients a, b, and c.
5. Write the quadratic regression equation in the form y = ax² + bx + c, rounding the coefficients to the nearest whole number.

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The interval within which 95 percent of all possible sample estimates will fall by chance is defined as the sample mean +/- 1.96 standard errors.

C. The sample mean +/- 1.96 standard errors.

This is known as the confidence interval, and it is calculated by taking the sample mean and adding and subtracting 1.96 times the standard error of the sample.

This range provides a level of confidence that the true population parameter falls within this range, based on the sample data.

The Central Limit Theorem is a statistical concept that explains how sample means tend to follow a normal distribution, but it is not directly related to the calculation of confidence intervals.

The lower and upper confidence boundaries refer to the endpoints of the confidence interval.

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The interval within which 95 percent of all possible sample estimates will fall by chance. The correct answer is: C. The sample mean +/- 1.96 standard errors

The interval within which 95 percent of all possible sample estimates will fall by chance is defined as the "Upper and Lower Confidence Boundaries" or "Confidence Interval." This interval is calculated based on the sample mean and standard error, with the common formula being the sample mean +/- 1.96 standard errors for a 95% confidence interval.

This interval is often referred to as the 95% confidence interval. It is calculated by taking the sample mean and adding/subtracting 1.96 times the standard error. This range represents the boundary within which 95 percent of all possible sample estimates are expected to fall by chance.

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Answer:

We can find the sum of the interior angles of any polygon using the formula

[tex]S_{n}=180(n-2)[/tex], where n is the number of sides.

Because each of these polygons have four sides, we can use one formula where our n is 4 to find the sum of the interior angles:

[tex]S_{4}=180(4-2)\\ S_{4}=180*2\\ S_{4}=360[/tex]

Thus, for all four problems, we can set the four angles equal in the four polygons equal to 360 and solve for the variables

(15) *Note the right angle symbol in this problem which always equals 90°

[tex]84+90+(2x+118)+(2x+68)=360\\174+2x+118+2x+68=360\\360+4x=360\\4x=0\\x=0[/tex]

Now, to find the measure of <Y, we simply plug in 0 for x in its equation

m<Y = 2(0) + 118 = 118°

(16):

[tex]82+105+(8x+11)+10x=360\\187+8x+11+10x=360\\198+18x=360\\18x=162\\x=9[/tex]

To find the measure of <F, we plug in 9 for x in its equation

m<F = 10(9) = 90°

(17):

[tex]95+95+(10x-5)+(8x+13)=360\\190+10x-5+8x+13=360\\198+18x=360\\18x=162\\x=9[/tex]

To find the measure of <M, we plug in 9 for x in its equation

m<M = 10(9) - 5 = 85°

(18):

[tex](14x-7)+(11x-2)+93+76=360\\14x-7+11x-2+169=360\\25x+160=360\\25x=200\\x=8[/tex]

To find the measure of <M, we plug in 8 for x in its equation

m<M = 11(8) - 2 = 86°

Shawna wants to make sure her three dogs are fed and cared for when she leaves town for the day. She intends to give each of her dogs 12 ounces of food to achieve this. She must therefore leave a total of 36 ounces of food (3 dogs x 12 ounces of food per dog). 36 ounces are equivalent to 2.25 pounds of food because 16 ounces make up one pound.

There are 0.75 pounds of food in each can of dog food. We must divide 2.25 by 0.75 to find the quantity of dog food Shawna should leave for her companion. 3 dog food cans are the end outcome.Shawna ought to give her buddy three cans of dog food so that she can feed her dogs.

Shawna may make sure her dogs have enough food and are well cared for while she is away by leaving adequate food for them. Shawna may put any fears or concerns about her pets' welfare to rest by leaving ample food and clear directions.

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The equivalent exponential expression for this problem is given as follows:

A. 4^15 x 5^10.

The exponential expression in the context of this problem is defined as follows:

[tex]\left(\frac{4^3}{5^{-2}}\right)^5[/tex]

To simplify the expression, we must first apply the power of power rule, which means that when one exponential expression is elevated to an exponent, we keep the base and multiply the exponents, hence:

4^(15)/5^(-10)

The negative exponent at the denominator means that the expression can be moved to the numerator with a positive exponent, hence the simplified expression is given as follows:

4^15 x 5^10.

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the probability of a customer choosing a Ribeye, well done or medium with corn is [tex]1[/tex] out of [tex]12[/tex], which is answer B [tex]- 1/12[/tex] Thus, option B is correct.

There are two possible steaks that a customer can choose from, and for each steak, there are three possible ways to cook it: rare, medium, or well-done. Additionally, there are two possible sides to choose from: corn or some other option.

Thus, there are a total of   [tex]2 \times 3 \times 2 = 12[/tex] possible meal combinations that a customer can choose from.

Out of these 12 possibilities, there is only one way to get a Ribeye cooked well-done or medium with corn, since there is only one Ribeye option on the menu.

Therefore, the probability of a customer choosing a Ribeye, well done or medium with corn is 1 out of 12, which is answer B- 1/12

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In a binomial experiment, the option (a) probability of success does not change from trial to trial

In a binomial experiment, each trial is independent of the previous trials, and the probability of success remains constant throughout the experiment. Therefore, option (a) is correct.

Option (b) is incorrect because the probability of success does not change from trial to trial.

Option (c) is partially correct because the probability of success could change from trial to trial in certain situations, but this would not be considered a binomial experiment.

Option (d) is incorrect because the probability of success and failure must add up to 1 in a binomial experiment, but they are not necessarily equal to each other.

Therefore, the correct option is (a) probability of success does not change from trial to trial

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Answer:

Mean: AB) 5.25

Median: E) 5

Mode: A) 2

Step-by-step explanation:

      First, I am going to put the numbers in order from least to greatest. This will help us in finding the median and mode, but also can be easier to see if the mean we find makes sense.

➜ 1 2 2 2 2 2 3 3 4 5 5 6 6 7 8 8 9 9 10 11

      Mean is the average of all of the numbers. We will add all the numbers together and then divide by the number of numbers.

1+2+2+2+2+2+3+3+4+5+5+6+6+7+8+8+9+9+10+11 = 105

105 / 20 = 5.25

      Median is the middle number, when in order from least to greatest.

1 2 2 2 2 2 3 3 4 5 5 6 6 7 8 8 9 9 10 11

1 2 2 2 2 2 3 3 4 [tex]\boxed{5\;\;5}[/tex] 6 6 7 8 8 9 9 10 11

      Our median is 5 (since there are two numbers, we find the average. 5 +5 = 10, 10 /2 = 5.).

      Mode is the most common number, the number that shows up the most frequently.

      This number is 2, it shows up 5 times.

Mode is 2 (A), Median is 5(E), and mean is 5.25(AB)