luis owns an assortment of hats. the ratio of winter hats to baseball hats is 2:3. if luis owns a total of 20 hats, how many winter hats are there

Answer:

B

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

d because there are no numbers common to  both sets

Disjoint sets are those sets that have no common values between the sets.

A: numbers above 100; B: numbers less than -200​ is a disjoint set.

Option D is the correct answer.

A set is a collection of items where there are operations such as:

Union of sets, the intersection of sets, complements of sets.

We have,

Disjoint sets are those sets that have no common values between the sets.

a) A: odd numbers; B: the number 5

Set A = {1, 3, 5, 7, 9,.....}

Set B = {5}

A ∩ B = {5}

This is not a disjoint set.

b) A: even numbers; B: numbers greater than 10

A =  {2, 4, 6, 8, 10, , , }

B = {11, 12, 13, 14, 15, 16, 18,,,,,}

A ∩ B = {12, 14, 16, 18,,,}

This is not a disjoint set.

c) A: numbers less than 5; B: all negative numbers

A = {, , ,, -3, -2, -1, 0, 1, 2, 3, 4}

B = {, , , , -3, -2, -1}

A ∩ B = { , , , , -3, -2, -1}

This is not a disjoint set.

d) A: numbers above 100; B: numbers less than -200​

A = {101, 102, 103, 104, ,,,,,,}

B = {, , , , -204, -203, -202, -201}

A ∩ B = Ф

There are no common values between set A and set B.

This is a disjoint set.

Thus,

A: numbers above 100; B: numbers less than -200​ is a disjoint set.

Option D is the correct answer.

Learn more about sets here:

https://brainly.com/question/8053622

#SPJ2

If Jacqueline bought a bicycle at wholesale cost for $210 dollars. If the bicycle is normally $300 from the local bike shop, Then 30% markup the bike shop adds to the wholesale cost

Percentage, a relative value indicating hundredth parts of any quantity.

Given,

Jacqueline bought a bicycle at wholesale cost for $210 dollars.

The actual price of bicycle is normally $300 from the local bike shop.

We need to find the percent markup the bike shop adds to the wholesale cost.

For this we need to find the difference and we have to divide it by actual price

300-210/300=90/300=0.3

Now multiply 0.3 with 100 as hundredths to get the percentage value

0.3×100=30

Hence 30 percent markup the bike shop adds to the wholesale cost

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ1

Answer:

D

Step-by-step explanation:

we'll use the complex number system to solve this exercice

the coordinates of the last triplet are : (1,2) , (2,4) and (4,8) The affixes are then

 \(1 + 2i = a \\2 + 4i= b = 2a \\4+8i = c = 2b = 4a\)

for the points to be aligned the fraction \(\frac{c-a}{b-a}\) should be a real number

\(\frac{c-a}{b-a} = \frac{4a-a}{2a-a} = \frac{3a}{a} = 3\)

so the points are aligned

Answer:

D (1, 2), (2, 4), (4, 8)

Step-by-step explanation:

Hope this helps

Answer:

D

Step-by-step explanation:

m<A = 15°; m<B = 120°

m<A + m<B + m<C = 180°

15° + 120° + m<C = 180°

m<C = 45°

m<A = 15°; m<B = 120°; m<C = 45°

The answer is the choice that has two of the three angle measures above.

Answer: D

Answer: A solid 4% chance of picking a yellow

brainliest plz

Step-by-step explanation: We first should combine 300 and 75 because those are the total values of the candies in the bag. After, we should divide the different candies by the total amount of them getting the numbers .8 for red and .2 for yellow. Since the question is that the yellow occurs but not the red and you can miss the bag you would want to calculate what the probability would be to have B happen but not A. The equation for that is:

(1 - P(A)) × P(B)  

where P(A)=.8 and P(B)=.2

plugging in all things it would be

(1-.8)*.2

which equals .04 or 4%

Step-by-step explanation:

0 20 40 60 80 100.................

In each scenario, the choice between mean and median as a representative measure of central tendency depends on the nature of the data and the specific context..

1. Scenario: Income distribution of a population

- If the income distribution is skewed or contains extreme values (outliers), the median would be a better representation of the central tendency. This is because the median is not influenced by outliers and provides a more robust estimate of the "typical" income level. However, if the income distribution is approximately symmetric without outliers, the mean can also be an appropriate measure.

2. Scenario: Exam scores in a class

- If the exam scores are normally distributed without significant outliers, the mean would be a suitable measure as it takes into account the value of each score. However, if there are extreme scores that deviate from the majority of the data, the median may be a better representation. This is especially true if the outliers are indicative of errors or exceptional circumstances.

3. Scenario: Housing prices in a city

- In this case, the median would be a more appropriate measure to represent the central tendency of housing prices. This is because the housing market often exhibits a skewed distribution with a few high-priced properties (outliers). The median, being the middle value when the data is sorted, is not influenced by these extreme values and provides a better understanding of the typical housing price in the city.

Ultimately, the choice between mean and median depends on the specific characteristics of the data and the objective of the analysis. It is important to consider the distribution, presence of outliers, and the context in which the data is being interpreted.

Learn more about  data here:

https://brainly.com/question/29117029

#SPJ11

Chris's research costs can be calculated using the percentage increase in his return and the desired hourly wage. The cost of his research will be $375.45. As a result of the research, Chris's return will increase by $257.96. On a strict economic basis, Chris should perform the proposed research as the increase in return outweighs the cost.

To calculate the cost of Chris's research, we need to determine the amount of time he devotes to it. Let's assume he spends x hours on research. The cost of his research can be calculated by multiplying his desired hourly wage ($31.00) by the number of hours spent:

Cost of research = $31.00 × x

Now, to find x, we need to consider the percentage increase in Chris's return. The percentage increase is given as a range from 6.1% to 8.7%. Let's take the average of these percentages, which is (6.1% + 8.7%) / 2 = 7.4%. This means Chris's return will increase by 7.4% as a result of the research.

To find x, we can set up the following equation:

1.074 × initial return = final return

Simplifying the equation, we have:

initial return = final return / 1.074

Since the initial return is given as a percentage, we can express it as 100% (or 1 in decimal form). The final return can be expressed as 100% + 7.4% = 107.4% (or 1.074 in decimal form).

So, the equation becomes:

1 = 1.074 / initial return

Solving for initial return, we find:

initial return = 1.074

Now, we can substitute the initial return into the equation for cost of research:

Cost of research = $31.00 × x = $31.00 × (initial return - 1) = $31.00 × (1.074 - 1) = $31.00 × 0.074 = $2.294

Rounding this to the nearest cent, the cost of Chris's research is approximately $2.29.

Next, to find the increase in Chris's return as a result of the research, we can calculate:

Increase in return = final return - initial return = 1.074 - 1 = 0.074

Finally, we can calculate the increase in dollars:

Increase in dollars = Increase in return × initial return = $31.00 × 0.074 ≈ $2.30

Rounding this to the nearest cent, Chris's return will increase by approximately $2.30.

On a strict economic basis, Chris should perform the proposed research. The cost of research is $2.29, while the increase in return is $2.30. Therefore, the increase in return outweighs the cost, resulting in a positive net benefit.

Learn more about hourly wage here:

https://brainly.com/question/14659672

#SPJ11

The measure of angle ZACB can be determined using the properties of a tangent line and the relationship between angles in a circle.  The measure of angle ZACB is 211 degrees.

When a line is tangent to a circle, it forms a right angle with the radius that intersects the point of tangency. In this case, line AC is tangent to circle O at point A. Therefore, angle ZAC is a right angle.

Since angle ZAC is a right angle, we can use the properties of a right triangle to find the measure of angle ZACB. Angle ZACB is the sum of angles ZAC and CAB.

The measure of angle ZAC is 90 degrees, as it is a right angle.

The measure of angle CAB can be found by subtracting the measure of angle ZAC from the given measure of angle CAB.

Given that mAB = 59,

we can conclude that mCAB = 180 - 59

= 121 degrees.

Finally, we can find the measure of angle ZACB by adding the measures of angles ZAC and CAB.

Therefore, mZACB = mZAC + mCAB

= 90 + 121

= 211 degrees.

In conclusion, the measure of angle ZACB is 211 degrees.

To know more about tangent  visit:

https://brainly.com/question/28994498

#SPJ11

The area of the third side of the triangle is either 20 square unit or 12 square units.

Triangle:

in math, triangle refers a simple closed curve made of three line segments and it has three vertices, three sides and three angles.

Given,

Two sides of a right triangle measure 2 units and 4  units.

And we need to find the area of the square that shares a side with the third side of the triangle  ​

Let us consider is  Two sides of a right triangle measure 2 units and 4  units.

Here if sides are perpendicular sides, then by using Pythagorean theorem

=> third side² = 2² + 4²

When we simplify this one, then we get,

=> third side² = 4 + 16

So, the  third side² = 20

Then the area of the square that shares a side with the third side of the triangle =  third side² = 20 sq units

Similarly, if 4  units is hypotenuse side, then by using Pythagorean theorem, the third side is calculated as,

=> third side² = 4² - 2²

And when we simplify this one, then we get,

=> third side² = 16 - 4

Therefore, the third side² = 12

And the area of the square that shares a side with the third side of the triangle =  third side² = 12 sq units

To know more about Triangle here.

https://brainly.com/question/24167205

#SPJ4

Translating a rectangle involves moving the rectangle.

The coordinate of the image of rectangle QRST is: \(\mathbf{Q' = (-1, 6)}\)    \(\mathbf{R' = (2, 8)}\)    \(\mathbf{S' = (6, 2)}\)   \(\mathbf{T' = (3, 0)}\)

The coordinate points of rectangle QRST are given as:

\(\mathbf{Q = (-6,-1)}\)

\(\mathbf{R = (-3,1)}\)

\(\mathbf{S = (1,-5)}\)

\(\mathbf{T = (-2,-7)}\)

The translation rule is given as:

\(\mathbf{(x,y) \to (x + 5, y + 7)}\)

Apply the above translation rule on point Q

\(\mathbf{Q' = (-6 + 5, -1 + 7)}\)

\(\mathbf{Q' = (-1, 6)}\)

Apply the above translation rule on point R

\(\mathbf{R' = (-3 + 5, 1 + 7)}\)

\(\mathbf{R' = (2, 8)}\)

Apply the above translation rule on point S

\(\mathbf{S' = (1+5, -5+7)}\)

\(\mathbf{S' = (6, 2)}\)

Apply the above translation rule on point T

\(\mathbf{T' = (-2 + 5, -7 + 7)}\)

\(\mathbf{T' = (3, 0)}\)

Hence, the coordinate of the image of the rectangle is:

\(\mathbf{Q' = (-1, 6)}\)    \(\mathbf{R' = (2, 8)}\)    \(\mathbf{S' = (6, 2)}\)   \(\mathbf{T' = (3, 0)}\)

Read more about translations at:

https://brainly.com/question/12463306

Answer:

she drove 150 miles

Step-by-step explanation:

Answer:

150 miles

Step-by-step explanation:

v= 60mph

t= 2.5 hours

We know that,

D=RT, distance equals rate times time.

Since you are traveling at 60 mph, the rate,

for 2.5 hours, the time, or equally 5/2 hours.

Substitute the value of r and t

d= 60 * 5/2

d= 150 miles

Therefore, if you are driving 60 miles per hour for 2.5 hours you will be covering a distance of 150  miles

The general solution of the system of equations x' = Ax is x = [0, 0].

To find the general solution of the system of equations x' = Ax, where A is the given matrix, we can follow these steps:

Find the eigenvalues of matrix A by solving the characteristic equation:

det(A - λI) = 0

where I is the identity matrix and λ is the eigenvalue.

Let's calculate the characteristic equation:

| 1 - λ 1 |

| 0 - λ |

(1 - λ)(-λ) - 1 = 0

λ^2 - λ - 1 = 0

Using the quadratic formula, we find the eigenvalues:

λ = (1 ± √5) / 2

The eigenvalues are (1 + √5) / 2 and (1 - √5) / 2.

Find the corresponding eigenvectors for each eigenvalue.

For λ = (1 + √5) / 2:

Let's solve the equation (A - λI) * v = 0 to find the eigenvector v.

| 1 - (1 + √5) / 2 1 |

| 0 - (1 + √5) / 2 |

Simplifying:

| -√5 / 2 1 |

| 0 -√5 / 2 |

Solving the system of equations:

(-√5 / 2) * x + y = 0

(-√5 / 2) * y = 0

From the second equation, we have y = 0.

Substituting y = 0 into the first equation, we have (-√5 / 2) * x = 0, which gives x = 0.

So, the eigenvector corresponding to λ = (1 + √5) / 2 is v1 = [0, 0].

For λ = (1 - √5) / 2:

Let's solve the equation (A - λI) * v = 0 to find the eigenvector v.

| 1 - (1 - √5) / 2 1 |

| 0 - (1 - √5) / 2 |

Simplifying:

| √5 / 2 1 |

| 0 √5 / 2 |

Solving the system of equations:

(√5 / 2) * x + y = 0

(√5 / 2) * y = 0

From the second equation, we have y = 0.

Substituting y = 0 into the first equation, we have (√5 / 2) * x = 0, which gives x = 0.

So, the eigenvector corresponding to λ = (1 - √5) / 2 is v2 = [0, 0].

Write the general solution of the system.

Since both eigenvectors are [0, 0], the general solution of the system is x = [0, 0] for all t.

Therefore, the general solution of the system of equations x' = Ax is x = [0, 0].

Learn more about equation from

https://brainly.com/question/29174899

#SPJ11

Data collected at the same, or approximately the same point in time are  Cross- sectional data

In statistics and econometrics, cross-sectional data, or a cross section of a study population, is a type of data gathered by monitoring numerous subjects (such as individuals, firms, countries, or regions) at one point or throughout the course of time. It's also possible that the analysis disregards variations in time. Cross-sectional data analysis often entails contrasting the variations among pre-selected respondents.

For instance, if we wanted to determine the prevalence of obesity in a population, we could randomly select a sample of 1,000 people (also referred to as a cross section of that population), measure their height and weight, and then determine what proportion of that sample falls under the definition of obesity. With the use of this cross-sectional sample, we are able to get a current picture of that group. Be aware that based on a single cross-sectional sample, we cannot determine whether the prevalence of obesity is rising or falling; we can only describe the current proportion.

For more such questions on data collection refer:

brainly.com/question/26711803

#SPJ4

Answer:

the y-intercept is positive 1

Step-by-step explanation:

Answer:

-1/7x

Step-by-step explanation:

y increases by 7 everytime x increases by 1,

Thus, you just need to divide x by 7 and subtract one which y would be 0 and being the y intercept.

1) At x = -2, 0, and 5, the solutions are; f(-2) = -2, f(0) = 1 and f(5) = 8.5

2) At x = -2, 0, and 5, the solutions are; g(-2) = 18, g(0) = 13, g(5) = -2

3) At x = -2, 0, and 5, the solutions are; h(-2) = -3, h(0) = -5 and h(5) = -10

We want to evaluate each of the given functions when  x = -2, 0, and 5.

1) f(x) = 1.5x + 1

At x = -2, we plug in -2 for x in the linear equation to get;

f(-2) = 1.5(-2) + 1

f(-2) = -2

At x = 0, we plug in 0 for x in the linear equation to get;

f(0) = 1.5(0) + 1

f(0) = 1

At x = 5, we plug in 5 for x in the linear equation to get;

f(5) = 1.5(5) + 1

f(5) = 8.5

2) g(x) = 11 - 3x + 2 = 13 - 3x

At x = -2, we plug in -2 for x in the linear equation to get;

g(-2) = 13 - 3(-2)

g(-2) = 18

At x = 0, we plug in 0 for x in the linear equation to get;

g(0) = 13 - 3(0)

g(0) = 13

At x = 5, we plug in 5 for x in the linear equation to get;

g(5) = 13 - 3(5)

g(5) = -2

3) h(x) = -3 - x - 2 = -5 - x

At x = -2, we plug in -2 for x in the linear equation to get;

h(-2) =  -5 - (-2)

h(-2) = -3

At x = 0, we plug in 0 for x in the linear equation to get;

h(0) =  -5 - 0

h(0) = -5

At x = 5, we plug in 5 for x in the linear equation to get;

h(5) =  -5 - 5

h(5) = -10

Read more about Linear Functions at; https://brainly.com/question/15602982

#SPJ1

To form a polynomial with given zeros and degree, we need to use the fact that if a polynomial has a zero of x = a, then it can be factored as (x - a) times some other polynomial.

This means that if we know the zeros of a polynomial, we can write it in factored form, and then multiply out the factors to get the polynomial in standard form.

The degree of the polynomial tells us how many factors are necessary. For example, if the degree is 3, we know that the polynomial can be factored into three linear factors, one for each zero.

To illustrate this process, let's say we want to form a polynomial of degree 4 with zeros of x = 2, x = -1, and x = 3. We would start by writing the polynomial in factored form as:

f(x) = (x - 2)(x + 1)(x - 3)(ax + b)

Since the degree is 4, we need to include one more factor. We can use the coefficients a and b to determine this factor. To do so, we can either use the value of the leading coefficient (which is a in this case) or a point on the polynomial (i.e., a value of x and f(x)).

Once we have determined the value of a, we can solve for b by setting a point on the polynomial equal to a known value.

Finally, we can multiply out the factors to get the polynomial in standard form:

f(x) = (x - 2)(x + 1)(x - 3)(2x - 4)

f(x) = 2x^4 - 8x^3 - 13x^2 + 22x - 12

In conclusion, to form a polynomial with given zeros and degree, we need to use the fact that a polynomial can be factored as (x - a) times some other polynomial if it has a zero of x = a.

We can write the polynomial in factored form, determine the missing factor(s) using the degree and coefficients, and then multiply out the factors to get the polynomial in standard form.

To learn more about polynomial click on,

https://brainly.com/question/14742650

#SPJ4

This equation 16t² - 9t - 29 = 0 he hits the water.

To write an equation describing when the diver hits the water, we need to consider the vertical motion of the diver. We can use the equation:

y = y₀ + v₀t + (1/2)gt²

where:

y is the vertical position at time t

y₀ is the initial vertical position

v₀ is the initial vertical velocity

g is the acceleration due to gravity

t is the time

Given the information:

y₀ = 29 ft (height of the platform above the water)

v₀ = 9 ft/s (initial upward velocity)

g = 32 ft/s² (acceleration due to gravity, assuming downward is positive)

Plugging in these values, we have:

y = 29 + 9t - (1/2)(32)t²

To find when the diver hits the water, we set y equal to zero:

0 = 29 + 9t - (1/2)(32)t²

Simplifying the equation, we get:

16t² - 9t - 29 = 0

To know more about equation:

https://brainly.com/question/29657983

#SPJ4

Answer: X= -10, and X=2

Step-by-step explanation:

Answer:

X=-10 and x=2

Step-by-step explanation: so the answers would be A. And D.

Answer:

27

Step-by-step explanation:

Divide 270 by 10

The inequality that describes how many movies Parv can buy is: n ≤ 10.025

Let's denote the number of movies Parv wants to buy as n. We are given that each movie costs $3.99. To determine the inequality that describes how many movies Parv can buy, we need to consider the amount of money he has remaining after purchasing the pack of games.

Parv starts with a $50 gift card and spends $9.99 on a pack of games. The remaining amount on the gift card is $50 - $9.99 = $40.01.

Now, let's consider the cost of n movies. Each movie costs $3.99, so the total cost of n movies would be n * $3.99.

Since Parv wants to buy the movies using the remaining amount on his gift card, we can set up the inequality:

n * $3.99 ≤ $40.01

This inequality states that the total cost of n movies, represented by n * $3.99, must be less than or equal to the remaining amount on the gift card, which is $40.01.

Simplifying the inequality further, we have:

3.99n ≤ 40.01

Now, if we want to solve for n, we can divide both sides of the inequality by 3.99:

n ≤ 40.01 / 3.99

Calculating this value, we have:

n ≤ 10.02506265664

Therefore, the inequality that describes how many movies Parv can buy is:

n ≤ 10.025

This means that Parv can buy a maximum of 10 movies, as he cannot purchase a fractional part of a movie.

for more such question on inequality visit

https://brainly.com/question/30238989

#SPJ8

Answer:

\(1.445 \times {10}^{3} \)

Step-by-step explanation:

\((1.7 \times {10 }^{4} )(8.5 \times {10}^{ - 2} ) = 14.45 \times {10}^{2} = 1.445 \times {10}^{3} \)

Answer:

A. It is the graph of y = x translated 7 units up.

Step-by-step explanation:

Imagine you have a friend named Y who always copies what you do. If you walk forward, Y walks forward. If you jump, Y jumps. If you eat a sandwich, Y eats a sandwich. You and Y are like twins, except Y is always one step behind you. Now imagine you have another friend named X who likes to give you money. Every time you see X, he gives you a dollar. You're happy, but Y is jealous. He wants money too. So he makes a deal with X: every time X gives you a dollar, he also gives Y a dollar plus seven more. That way, Y gets more money than you. How do you feel about that? Not so happy, right? Well, that's what happens when you add 7 to y = x. You're still doing the same thing as before, but Y is getting more than you by 7 units. He's moving up on the money scale, while you stay the same. The graph of y = x + 7 shows this relationship: Y is always above you by 7 units, no matter what X does. The other options don't make sense because they change how Y copies you or how X gives you money. Option B means that Y copies you but with a delay of 7 units. Option C means that Y copies you but exaggerates everything by 7 times. Option D means that Y copies you but gets less money than you by 7 units.

Answer:

B and E

Step-by-step explanation:

2/9 is a fraction, so it belongs in the rational numbers set. The rational numbers set is part of the real numbers set, so 2/9 belongs there, too.

A 40 gram sample of a substance that’s used for drug research has a k-value of 0.1472. The substance's half-life, in days, is approximately 4.7 days.

The half-life of a substance is the time it takes for half of the substance to decay or undergo a transformation. The half-life can be determined using the formula:

t = (0.693 / k)

where t is the half-life and k is the decay constant.

In this case, we are given that the sample has a k-value of 0.1472. We can use this value to calculate the half-life.

t = (0.693 / 0.1472) ≈ 4.7 days

Therefore, the substance's half-life, rounded to the nearest tenth, is approximately 4.7 days.

For more such questions on k-value, click on:

https://brainly.com/question/1978047

#SPJ8

The  Trigonometric Identity sin² x + cos²x = 1 is: A. Pythagorean Identity.

The Pythagorean Identity which  tend to asserts that for every angle x, the sum of the squares of the sine and cosine of x is equal to one  is known as or called a  trigonometric identity.

The  Pythagorean identity can be expressed as:

sin² x + cos² x = 1

This identity is crucial to understanding trigonometry and tend to have several uses in numerous branches of science and engineering.

Therefore the correct option is A.

Learn more about Pythagorean Identity here:https://brainly.com/question/24287773

#SPJ1

There is no interval of convergence for the given series ∑(from n=1 to infinity) of 4434, as it does not converge.

To find the interval of convergence for the given series ∑(from n=1 to infinity) of 4434, we first need to recognize that this series is a constant series, meaning that each term is the same constant value, in this case, 4434.

The interval of convergence for a constant series is dependent on the value of the constant. Since the constant value is non-zero, the series diverges, as it does not approach a finite value when summed to infinity.

Therefore, there is no interval of convergence for the given series ∑(from n=1 to infinity) of 4434, as it does not converge.

To know more about  interval of convergence visit:

https://brainly.com/question/31401345

#SPJ11

If f(x) = 2x + 5 and three-halves are inverse functions of each other, then the equation is mc^(005)- is 3/2.

If two functions are inverses of each other, then their graphs are reflections of each other across the line y = x. This means that if we start with the graph of one function and reflect it across the line y = x, we will get the graph of the other function.

In this case, the graph of f(x) is a line with a slope of 2 and a y-intercept of 5. When we reflect this graph across the line y = x, we get the graph of the inverse function, which is three-halves.

We know that three-halves(8) = 3, so the equation is mc^(005)- is 3/2.

Visit here to learn more about graph:  

brainly.com/question/19040584

#SPJ11