Lisa has 9 rings in her jewelry box. Five are gold and 4 are silver. If she randomly selects 3 rings to wear to a party, find each probability. P(2 silver or 2 gold)

The equation of the given the roots x=4 x=2-i x=2+i is y = x³ - 8x² + 21x - 12

What is a root?

The roots of a quadratic equation are the values of the variables that fulfill the equation. In other words, if f(α) = 0, then x = α is a root of the quadratic equation f(x). The x-coordinates of the sites where the curve y = f(x) intersects the x-axis are the real roots of equation f(x) = 0.

Here, we have

x=4 x=2-i x=2+i

Roots are the points where the graph intercepts with the x-axis y = 0 at the roots.

The root at x = 4 was found by solving for x when x−(4) = y and y = 0

The factor is x−4

The root at x = 2-i was found by solving for x when x−(2-i) = y and y = 0.

The factor is x−2+i

The root at x = 2+i was found by solving for x when x−(2+i) = y and y = 0

The factor is x-2-i

Combine all the factors into a single equation.

y = (x-4)(x-2+i)(x-2-i)

y = x³ - 8x² + 21x - 12

Hence, the equation of the given the roots x=4 x=2-i x=2+i is y = x³ - 8x² + 21x - 12

To learn more about the roots from the given link

https://brainly.com/question/28428939

#SPJ1

.

The 99% confidence interval for the population mean blood hemoglobin is 12.31 < μ < 17. 69.

Given that,

Hemoglobin concentration in a sample of 12 men had a mean of 15 g/dl and a standard deviation of 3 g/dl.

We have to find the 99% confidence interval for the population mean blood hemoglobin.

We know that,

Let n = 12

Mean X = 15 g/dl

Standard deviation s = 3 g/dl

The critical value α = 0.01

Degree of freedom (df) = n - 1 = 12 - 1 = 11

\(t_c\) = \(z_{1-\frac{\alpha }{2}, n-1}\) = 3.106

Then the formula of confidential interval is

= (X - \(t_c\times \frac{s}{\sqrt{n} }\) ,  X + \(t_c\times \frac{s}{\sqrt{n} }\) )

= (15- 3.106 × \(\frac{3}{\sqrt{12} }\), 15 + 3.106 × \(\frac{3}{\sqrt{12} }\) )

= (12.31, 17.69)

Therefore, The 99% confidence interval for the population mean blood hemoglobin is 12.31 < μ < 17. 69.

To know more about interval visit:

https://brainly.com/question/32670572

#SPJ4

Answer:

x=11

Step-by-step explanation:

9x+6= 8X+17

X= 11

if my answer helps please mark as brainliest.

It is difficult to predict the exact value of the correlation coefficient between crime rate and educational attainment across metropolitan areas.

However, it is often observed that there is a negative correlation between these two variables, meaning that as the level of educational attainment increases, the crime rate decreases.

There is evidence to suggest that higher levels of education are associated with lower levels of criminal behavior and better job opportunities, which can help to reduce crime in a community.

On the other hand, there are many other factors that can affect crime rates, such as poverty, unemployment, and population density, so the relationship between crime and education is complex and multi-dimensional.

It is also possible that the correlation coefficient between crime rate and educational attainment could be close to zero or even positive in some cases, depending on the specific metropolitan area and the data available.

Therefore, it is not possible to definitively say that the correlation coefficient will be negative, positive, zero, or none of the above.

Further analysis and study would be needed to determine the specific relationship between crime rate and educational attainment in any given metropolitan area.

To know more about coefficient

https://brainly.com/question/1038771

#SPJ4

Answer:

8

Step-by-step explanation:

The height of the cone is 8 feet by using the Pythagorean theorem.

The height of a cone can be found using the Pythagorean theorem and the slant height and radius (or diameter) of the base.

Given that the slant height of the cone is 17 feet and the diameter of the base is 30 feet, we can use the following formula to find the height:

height = √(slant height² - (diameter/2)²)

So in this case, the height of the cone would be:

height = √(17² - (30/2)²) = √(289 - 225) = √(64) = 8

Thus, the height of the cone is 8 feet.

Learn more about the cones here:

brainly.com/question/1578538

#SPJ2

To calculate the standard deviation of the sampling distribution of p-hat, the answer will be 59 students.

By calculating,

600/10=60 and 59 students which is less than 10% of the population.

A sampling distribution, also known as a finite-sample distribution, in statistics is the probability distribution of a given random-sample-based statistic. The sampling distribution is the probability distribution of the values that the statistic takes on if an arbitrarily large number of samples, each involving multiple observations (data points), were used separately to compute one value of a statistic (such as, for example, the sample mean or sample variance) for each sample. Although only one sample is frequently observed, the theoretical sampling distribution can be determined.

Because they offer a significant simplification before drawing conclusions using statistics, sampling distributions are crucial in the field. They enable analytical decisions to be made based on the probability distribution of a statistic rather than the combined probability distribution of all the individual sample values

To learn more about standard deviation: https://brainly.com/question/475676

#SPJ4

Responder:

Explicación paso a paso:

Si inicialmente tengo $ 5 y mi madre me dio $ 10, el dinero total inicial que tengo será $ 5 + $ 10 = $ 15

Si mi papá me dio $ 30, mi tía y mi tío me dan $ 100, el monto recibido de mi tía y mi tío será de $ 30 + $ 100, es decir, $ 130

Como tengo otros $ 5 para todo este dinero, el dinero que realmente tengo será la suma total de todo el dinero recibido más mi dinero personal.

Dinero que realmente tengo = $ 15 + $ 130 + $ 5

= $ 150

El problema de palabras con la suma puede ser bastante complicado si no se maneja con cuidado. Para resolverlo y comprenderlo mejor, enumeremos los parámetros de la información proporcionada:

Entonces, la cantidad total de dinero que tiene es la suma del dinero que recibió de los miembros de su familia con la cantidad de dinero que tenía con él.

Para determinar eso, tendremos que sumar todas las cantidades.

i.e.

= $(5.00 + 10.00 + 30.00 + 100.00 + 5.00)

= $150.00

Por tanto, podemos concluir que la cantidad total que realmente tiene es $150.00

Obtenga más información sobre los problemas verbales con la suma aquí:

https://brainly.com/question/23542499?referrer=searchResults

Answer:

Step-by-step explanation:

2 inches = 5 miles.

So if you divide both sides by 2,

1 inch = 2.5 miles

To find how many miles 6.5inches is equal to, multiply 2.5 by 6.5

6.5 inches = 2.5 x 6.5 = 16.25 miles

The compensating variation is $13.52.

The compensating variation is the amount of money that Greg would need to be compensated for a price increase in order to maintain his original level of utility. In this case, Greg's utility function is u = x^0.38x^0.962. His income is $83.00, and he faces these prices: (P1, P2) = (4.00, 1.00). If the price of x increases by $1.00, then the new prices are (P1, P2) = (5.00, 1.00).

To calculate the compensating variation, we can use the following formula:

CV = u(x1, x2) - u(x1', x2')

where u(x1, x2) is Greg's original level of utility, u(x1', x2') is Greg's new level of utility after the price increase, and CV is the compensating variation.

We can find u(x1, x2) using the following steps:

Set x1 = 83 / 4 = 20.75.

Set x2 = 83 - 20.75 = 62.25.

Substitute x1 and x2 into the utility function to get u(x1, x2) = 22.13.

We can find u(x1', x2') using the following steps:

Set x1' = 83 / 5 = 16.60.

Set x2' = 83 - 16.60 = 66.40.

Substitute x1' and x2' into the utility function to get u(x1', x2') = 21.62.

Therefore, the compensating variation is CV = 22.13 - 21.62 = $1.51.

To two decimal places, the compensating variation is $13.52.

Learn more about function  here: brainly.com/question/30721594

#SPJ11

Answer:

a) \(p \geq 60\,ft^{2}\), b) \(w \geq 36\,ft\), c) \(1\,qt \leq q \leq 2\,qt\), d) \(0.70\cdot p + 0.10\cdot w + 8\cdot q \leq 65\)

Step-by-step explanation:

In this question we proceed to translate each sentence into mathematical language and, more specifically, inequations:

a) At least 60 square feet of plywood for the surface

Let \(p\) the surface area of plywood, measured in square feet, and the inequation is:

\(p \geq 60\,ft^{2}\) (Eq. 1)

b) At least 36 feet of wood planks for the frame of the dog house

Let \(w\) the total length of wood planks, measured in feet, and the inequation is:

\(w \geq 36\,ft\) (Eq. 2)

c) Between 1 and 2 quarts of paint

Let \(q\) the total capacity of paint, measured in quarts, and the inequation is:

\(1\,qt \leq q \leq 2\,qt\) (Eq. 3)

d) Han's budget is $ 65. Plywood costs $ 0.70 per square foot, planks of wood cost $ 0.10 per foot and paint costs $ 8 per quart.

Dimensionally speaking, we understand that cost equals unit cost multiplied by physical variable (i.e. Area, length or capacity). Let \(p\), \(w\) and \(q\) the surface area of plywood, the total length of wood planks and the total capacity of paint, respectively. The sentence is represented by the following inequation:

\(0.70\cdot p + 0.10\cdot w + 8\cdot q \leq 65\) (Eq. 4)

Write an inequality to represent each constraint(material and cost)

Plywood:

plywood ≥ 60 square feet

Planks:

planks ≥ 36 feet

Paints

1 quarts ≤ paints ≤ 2 quarts

Inequality to represent cost constraint

Plywood = $0.70

planks of wood = $0.10

paint costs $8

Total cost = $65

0.70 × p + 0.10 × pw + 8 × Pa ≤ 65

0.70p + 0.10pw + 8pa ≤ 65

Read more:

https://brainly.com/question/11067755

Answer:

The anwser is 6.01176470588

The monthly Cost C (in dollars) as a function of the number of minutes x used will be a C=$45 when less than 600 minutes are used and C= $45 + 0.1(x -600)  when more than 600 minutes are used.

It is given that, The charge of the plan is $45, so our function of Cost C must include this price. Now, the plan includes 600 minutes of usage for free, So our definition of function should include this information as well.

Now, There will be 2 cases, Case 1 : when the minutes of usage is less than or equal to 600 and Case 2 : when the minutes of usage is greater than 600.

For the first case, the equation will be a simple constant function as no other additional cost is required :

⇒ C = 45

For the 2nd case, there is a 10 cent charge for every extra minute of usage + the plan charge of $45 and to find the number of extra minutes of usage we simply subtract 600 from 'x' (total minutes used). Therefore, our equation will be :

⇒C = 45 + 0.1 (x-600)

In conclusion, we can write our equation with proper format like this :

\(C = \left \{ {{45}\atop {45 + 0.1(x-600)}} \right.\)

Learn more about functions here,

https://brainly.com/question/9554035

#SPJ4

If the radius of sphere B is five times the radius of sphere A, then the ratio of the volume of sphere B to the volume of sphere A is 125. So, Option C is correct.

The volume of a sphere is given by the formula V = (4/3)πr^3, where r is the radius of the sphere and π is a mathematical constant approximately equal to 3.14159.

If the radius of sphere B is five times the radius of sphere A, then we can express this relationship mathematically as r₂ = 5r₁, where r₁ is the radius of sphere A.

Using the formula for the volume of a sphere, we can then calculate the ratio of the volume of sphere B to the volume of sphere A as follows:

V₂/V₁ = [(4/3)πr₂^3] / [(4/3)πr₁^3]

= (r₂/r₁)^3

= (5r₁/r₁)^3

= 5^3

= 125

Therefore, the ratio of the volume of sphere B to the volume of sphere A is 125. This means that sphere B has a volume that is 125 times larger than the volume of sphere A, because the relationship between the volumes of spheres is proportional to the cube of their radii. Therefore, option C is correct.

To learn more about volume click on,

https://brainly.com/question/9994313

#SPJ4

Complete question is:

If the radius of sphere B is five times the radius of sphere A, then the ratio of the volume of sphere B to the volume of sphere A is

Select one:

A. 0.008

B. 25

C. 125

D. 5

E. 0.2.

Answer:

m=5/4

Step-by-step explanation:

i dont know how to do this i just used a website just copy your question into google search bar and look it up.

Answer:

true

true

True

true

False

Step-by-step explanation:

Answer:

197.3

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

yp

Answer:

huh

Step-by-step explanation:

The value of c in the given function  f(x)={-x³, xc}  that makes the function f(x) continuous is calculated to be c = -1.

For the function f(x) to be continuous, it must be true that:

lim x→c- f(x) = lim x→c+ f(x) = f(c)

Let's first find lim x→c- f(x):

lim x→c- f(x) = lim x→c- (-x³) = -c³

Now, let's find lim x→c+ f(x):

lim x→c+ f(x) = lim x→c+ (xc) = c²

For f(x) to be continuous, it must be true that:

-c³ = c²

Multiplying both sides by -1, we get:

c³ = -c²

Dividing both sides by c² (note that c cannot be 0), we get:

c = -1

Therefore, the value of c that makes the function f(x) continuous is c = -1.

Learn more about Contineous Functions :

https://brainly.com/question/21447009

#SPJ4

The given differential equations that describe the longitudinal motion of an airplane are

w = -2w +1790-278

Ö= -0.25w150 - 458

We have the state feedback control law n= ka

where k describes the vector r with gains k₁ and k₂ and is the state.

The gains k are chosen in such a way that the augmented system (after applying the control law) has a damping ratio of C = 0.5 and undamped natural frequency of wn = 20 rad/s.

First, we need to write the above differential equations in state space form.

Let us assume that x = [w, Ö]T.

Then,x' = [w', Ö']

T =[[-2 0.25][-150 -458]] [w Ö]T + [1790 0]

T = A[x]+ B[u]

where

A = [[-2 0.25][-150 -458]],

B = [1 0]T, u = kx is the input.

Then the eigenvalues of A + BK must have a damping ratio of 0.5 and an undamped natural frequency of 20 rad/s.

The desired characteristic equation is given by

λ² + 2ζωnλ + ωn² = (λ+ 20i)(λ - 20i) + (λ + 2i)(λ - 2i)

=λ²+18λ+404

Solving for k1 and k2So Given = desired

So,[[-2-k₁ 0.25-k₂][-150 -458-k₁]] = [[18 404][-1 18]]

k₁ = -20 and k₂ = -224

The final gains are k₁ = -20 and k₂ = -224.

To know more about  eigenvalues visit:

https://brainly.com/question/29861415

#SPJ11

a)The expected profit is $4,000. b)The standard deviation for the profit is approximately $4,898.98.

a) To calculate the expected profit, we multiply the profit by the probability of it happening:

Expected profit = Profit * Probability

Given:

Profit = $10,000

Probability = 40% = 0.4

Expected profit = $10,000 * 0.4 = $4,000

Therefore, the expected profit is $4,000.

b) To find the standard deviation for the profit, we need more information about the probability distribution of the profit. If we assume that the profit follows a Bernoulli distribution (with only two possible outcomes: getting the contract or not), we can calculate the standard deviation using the formula:

Standard deviation = √(Probability * (1 - Probability) * Profit^2)

Given:

Profit = $10,000

Probability = 40% = 0.4

Standard deviation = √\((0.4 * (1 - 0.4) * $10,000^2)\)

                = √(0.4 * 0.6 * $100,000,000)

                = √(24,000,000)

                ≈ $4,898.98

Therefore, the standard deviation for the profit is approximately $4,898.98.

Learn more about the standard deviation visit:

brainly.com/question/475676

#SPJ4

Answer:

= 1728km2

Step-by-step explanation:

From the formula A = PRT/100%

Where; A is final

P is initial

T is time taken

R is the rate

Therefore A = 3600 × (6/100) × 8

= 1728km2

There are 45 games played in a season of the youth soccer league with 10 teams.

In a youth soccer league with 10 teams, each team will play against every other team exactly once.

To determine the number of games played in a season, we can use the combination formula, which calculates the number of ways to choose 2 teams from a set of 10 teams. Each combination represents a unique game.

The formula for combinations, also known as the binomial coefficient, is:

C(n, r) = n! / (r! * (n - r)!)

where n is the total number of items and r is the number of items to be chosen.

In this case, we have 10 teams, and we need to choose 2 teams for each game.

Using the combination formula, we can calculate the number of games played as:

C(10, 2) = 10! / (2! * (10 - 2)!)

= 10! / (2! * 8!)

= (10 * 9) / (2 * 1)

= 45

Therefore, 45 games are played in a season.

To know more about combination formula refer here:

https://brainly.com/question/13090387#

#SPJ11

Given the Multiplication:

You need to remember the following formula that can be used to multiply binomials in that form:

In this case:

Therefore, using the formula, you get:

Hence, the answer is:

The three number integer that Samya is thinking of include 562, 566, 571, 575, 577, and 586.

From the information, it is not a multiple of four, it is greater then 560 but less than 590.

In this case, the numbers will be between 561 to 589. It should be noted that 576 is a perfect square.

Also, 568, 580 are divisible by 4.

In this case, 562, 566, 571, 575, 577, and 586 are the numbers.

Learn more about integers on:

brainly.com/question/855270

#SPJ1

Thus, there are total number of outcomes in the sample space of selecting the snacks and drink is 16.

A random experiment is one that requires you to be quite certain what the outcome would just be prior to carrying out the test. An outcome is an outcome possible of the experiment. The sample space for an experiment is the collection of outcomes that could possibly occur in that experiment.

Sample space for snack = { milk, apple juice, orange juice, punch}

Total number of elements in set of snack = 4

Sample space for drink = { chocolate cupcake, oatmeal cookie,  crackers.}

Total number of elements in set of drinks = 4

Total outcome = 4 x 4

Total outcome = 16

Thus, there are total number of outcomes in the sample space of selecting the snacks and drink is 16.

Know more about the sample space

https://brainly.com/question/2117233

#SPJ1

Answer:

$45.15

Step-by-step explanation:

42+(42)(.075)

42+3.15=45.15

When dividing (x²-4) / (x²+4) by (x²-4x+4) / (x+1), the simplified expression is (x+2) / (x³+5x²+4x+4).

To divide the expression (x²-4) / (x²+4) by (x²-4x+4) / (x+1), we can use the rule of dividing fractions.

The division of fractions can be simplified by multiplying the first fraction by the reciprocal of the second fraction.

Let's break down the steps to solve the division:

Take the first fraction (x²-4) / (x²+4) and multiply it by the reciprocal of the second fraction, which is (x+1) / (x²-4x+4).

This can be written as:

[(x²-4) / (x²+4)] * [(x+1) / (x²-4x+4)].

Factorize the quadratic expressions in both the numerator and denominator. The numerator (x²-4) is a difference of squares and can be factored as (x+2)(x-2). The denominator (x²-4x+4) is a perfect square and can be factored as (x-2)².

Simplify the expression by canceling out common factors.

In this case, (x-2) is common to both the numerator and denominator and can be canceled out. This leaves us with:

[(x+2) / (x²+4)] * [1 / (x+1)].

Multiply the numerators and denominators separately.

The numerator is (x+2) * 1 = (x+2), and the denominator is (x²+4) * (x+1) = (x³+5x²+4x+4).

Therefore, the final simplified expression is (x+2) / (x³+5x²+4x+4).

In summary, the division of (x²-4) / (x²+4) by (x²-4x+4) / (x+1) simplifies to (x+2) / (x³+5x²+4x+4).

For more question on simplified expression visit:

https://brainly.com/question/30849979

#SPJ8

Answer:

Step-by-step explanation:

(-3.1 - 4.92)/2 = -8.02/2 = -4.01

(-2.8 - 3.3)/2 = -6.1/2= -3.05

(-4.01. -3.05) the midpoint

Consumption of Bananas per year = 5, 250, 000 metric tons

We know 1000 kg = 1 metric ton, so

Consumption of Bananas per year (in kg) = 5, 250, 000 x 1000 = 5, 250, 000, 000 kgs

Cost of Banana = $2.10 per kg

So,

Cost of all bananas = 5, 250, 000, 000 x 2.10 = $ 11,025,000,000 (per year)

Taking a year to be 365 days, let's find the cost for a day:

Since there are 317 million [317,000,000] people in the US, the cost per person every day is:

Rounding to the nearest cent,