Find the equation of the plane containing the points (-1,3,4), (-1,9, 4), and (1,-1, 1). Find one additional point on this plane.

In a wheel game with eight equally spaced sectors, Keisha's chances of winning a reward on both spins are 1/16.

Probability—the possibility that an occurrence will happen—is calculated by dividing here the same number of favorable outcomes by the total number of possible outcomes. A coin toss serves as the most simple instance. If you flip a coin, there are only two possible outcomes: heads or tails.

The spinners will get a reward each everytime she lands on white. She will spin the wheel twice.

Here, there are two instances of such color white in the wheel, and there are a total of eight sectors. the likelihood that white will appear in the spin for the first time is,

P = 2/8

P = 1/4

The second case's circumstances are the same. In this instance, the outcomes including both wheel revolutions are independent of one another.

According to the product rule, the likelihood that a white sector will both spin and emerge is,

P = 1/4 * 1/4

P = 1/16

In a wheel game with eight equally spaced sectors, Keisha has a 1/16 chance of winning a reward on both spins.

To know more about Probability visit:

https://brainly.com/question/24756209

#SPJ1

The complete question is-

Keisha is playing a game using a wheel divided into eight equal sectors, as shown in the diagram. Each time the spinner lands on white, she will win a prize. If she spins this wheel twice, what is the probability she will win a prize on both spins? Please show all steps!

The tangent line and radius or diameter of the circle intersect at a right angle and the tangent intersects the circle at a single point only. Then the correct option is A, B, and D.

It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

The tangent line and radius or diameter of the circle intersect at a right angle.

And the tangent line intersects the circle at a single point only.

The number of the tangent line depends on the point from which the tangent is drawn.

More about the circle link is given below.

https://brainly.com/question/11833983

The abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).

Given the equation x^2 = 2y.

The coordinates of the point are (4,1).We have to find the abscissa on the curve that is nearest to this point.So, let's solve this question:

To find the abscissa on the curve x2 = 2y which is nearest to the point (4,1), we need to apply the distance formula.In terms of x, the formula for the distance between a point on the curve and (4,1) can be written as:√[(x - 4)^2 + (y - 1)^2]But since x^2 = 2y, we can substitute 2x^2 for y:√[(x - 4)^2 + (2x^2 - 1)^2].

Now we need to find the value of x that will minimize this expression.

We can do this by finding the critical point of the function: f(x) = √[(x - 4)^2 + (2x^2 - 1)^2]To do this, we take the derivative of f(x) and set it equal to zero: f '(x) = (x - 4) / √[(x - 4)^2 + (2x^2 - 1)^2] + 4x(2x^2 - 1) / √[(x - 4)^2 + (2x^2 - 1)^2] = 0.

Now we can solve for x by simplifying this equation: (x - 4) + 4x(2x^2 - 1) = 0x - 4 + 8x^3 - 4x = 0x (8x^2 - 3) = 4x = √(3/8)The abscissa on the curve x^2 = 2y that is nearest to the point (4,1) is x = √(3/8).T

he main answer is that the abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).

The abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).

To know more about abscissa visit:

brainly.com/question/32034993

#SPJ11

The earnings on an $18,500 savings account vary based on the compounding frequency. Annual compounding yields the highest earnings of $232, followed by quarterly, monthly, and daily compounding with earnings of $17.22, $3.32, and $0.60 respectively.

To compute the earnings for the year on a savings account, we can use the formula for compound interest:

A = \(P(1 + r/n)^{(n\times t)}\)

Where:

A = the total amount (including the principal and earnings)

P = the principal amount (initial savings)

r = the annual interest rate (as a decimal)

n = the number of times interest is compounded per year

t = the number of years

Given:

P = $18,500

r = 1.2% = 0.012

(a) Annually:

n = 1 (compounded once a year)

t = 1 year

A = \(18,500(1 + 0.012/1)^{(1 \times 1)} - 18,500\)

= 18,500(1.012) - 18,500

= 18,732 - 18,500

= $232

The earnings for the year on an annual compounding basis are $232.

(b) Quarterly:

n = 4 (compounded four times a year)

t = 1 year

A = \(18,500(1 + 0.012/4)^{(4 \times 1)} - 18,500\)

= 18,500(1.003)⁽⁴⁾ - 18,500

= 18,517.22 - 18,500

= $17.22

The earnings for the year on a quarterly compounding basis are $17.22.

(c) Monthly:

n = 12 (compounded twelve times a year)

t = 1 year

A = \(18,500(1 + 0.012/12)^{(12 \times 1)} - 18,500\)

= 18,500(1.001)⁽¹²⁾ - 18,500

= 18,503.32 - 18,500

= $3.32

The earnings for the year on a monthly compounding basis are $3.32.

(d) Daily:

n = 365 (compounded daily)

t = 1 year

A = \(18,500(1 + 0.012/365)^{(365 \times 1)} - 18,500\)

= 18,500(1.00003287)⁽³⁶⁵⁾ - 18,500

= 18,500.60 - 18,500

= $0.60

The earnings for the year on a daily compounding basis are $0.60.

In conclusion, The earnings for the year on an $18,500 savings account depend on the compounding frequency. The earnings are highest when compounded annually ($232), followed by quarterly ($17.22), monthly ($3.32), and daily ($0.60).

The compounding frequency affects the frequency at which interest is added to the principal, resulting in different earnings over time. It is important to consider the compounding frequency when assessing the growth of savings and investments, as higher compounding frequencies can lead to greater overall earnings.

To know more about compounding refer here:

https://brainly.com/question/30722961#

#SPJ11

3 different ways to do it.

Using the combination formula, it is found that there are 35 ways to do this.

The order in which the vegetables are included is not important, thus, the combination formula is used to solve this question.

Combination formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given as follows:

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

In this problem, 4 vegetables from a set of 7, thus:

\(C_{7,4} = \frac{7!}{4!(7-4)!} = 35\)

There are 35 ways to do this.

A similar problem is given at https://brainly.com/question/24278448

A substitute is a good or service that buyers can quickly swap out for another. For instance, a one-dollar bill can be used in place of another dollar bill.

In business and economics, a replacement, or substitutable good, is a good or service that consumers perceive as just being substantially the same as or reasonably similar to some other good. Consumers are given options and alternatives through substitutes, which also spur competition and lower prices in the market.

Here are a few examples of replacement goods:

1. A $1 bill can be exchanged for four quarters.

2. Coke against Pepsi

3. Regular vs. premium gas

4. Butter and lard

5. Tea and coffee

6. Apples and oranges

7. Comparing driving a car to riding a bike

8. Books in general and e-books

To learn more about substitute link is here

brainly.com/question/18330729

#SPJ4

The given graph is a rectangular hyperbola graph because the product of the variables, that is x and y, is constant. The equation of a rectangular hyperbola is y=k/x. k is the constant value. The variables x and y are inversely proportional to each other.

Thus, as x increases, y decreases, and vice versa.GraphA rectangular hyperbola graph with labeled axesThe horizontal axis is labeled in increments of 5s. The vertical axis is labeled in increments of 1mil. a) On the graph, 10.00 ÷ min is 0.1mil. Thus, 10.00 ÷ min corresponds to a point on the graph where the vertical axis is at 0.1mil.b) At 6 in 20-00, the horizontal axis is 6, which corresponds to 30s.

The vertical axis is 20-00 or 2000mil, which is equivalent to 2mil. The coordinates of the point are (30s, 2mil).c) At 10.0000000.00 mes, the horizontal axis is at 100s. The vertical axis is 0, which corresponds to the x-axis. The coordinates of the point are (100s, 0).

d) From 20.00 to 35.00s, the vertical axis is at 4mil. From 20.00 to 35.00s, the horizontal axis is at 3 increments of 5s, which is 15s. The coordinates of the starting point are (20.00s, 4mil). The coordinates of the ending point are (35.00s, 4mil). The point on the graph is represented by a horizontal line segment at y=4mil from x=20.00s to x=35.00s. Similarly, from 0 to 40.00s, the coordinates of the starting point are (0, 10mil).

The coordinates of the ending point are (40.00s, 0). The point on the graph is represented by a curve from (0, 10mil) to (40.00s, 0).

For more information on  hyperbola graph visit:

brainly.com/question/30281625

#SPJ11

Answer:

  24 minutes

Step-by-step explanation:

Working at the same speed, the ratio of time to length is the same:

  time/length = t/12 = 3/(1.5)

  t = 12(3/1.5) = 12(2) = 24

It will take Mark 24 minutes to make a 12-inch bracelet.

Answer:

8 times

Step-by-step explanation:

multiply 10$ for hannah and 10$ for her dad by 8 times then you would get 160$ which would make the 140$ family membership a beter deal by 20$

Answer:

She forgot to multiply. She wasn’t supposed to add.

Step-by-step explanation:

Jasmine made an error where the 9(9) connect. She added and got 18, but instead, you’re supposed to multiply the 9 x 9, which is 81. Now, we add the 3, and the sum is 84m.

The Null hypothesis:

H₀: μ₁=μ₂=μ₃

Alternative hypothesis:

H₁: Treatment means are all not same.

Given that,

Test the idea that the treatment means are equivalent at the 0.05 level of significance using the following data: six observations gathered from treatment 1, four observations gathered from treatment 2, and five observations gathered from treatment 3. treatment 1 therapy two therapies Required: 3 9 13 10 7 20 9 11 14 15 9 13 14 12 15 10.

We have to find name the null and the alternative hypotheses.

We know that,

For the given scenario, the null and alternative hypotheses are stated as below:

Null hypothesis:

H₀: μ₁=μ₂=μ₃

Alternative hypothesis:

H₁: Treatment means are all not same.

Therefore, The Null hypothesis:

H₀: μ₁=μ₂=μ₃

Alternative hypothesis:

H₁: Treatment means are all not same.

To learn more about hypothesis visit: https://brainly.com/question/28920252

#SPJ4

The expression is x = p + 0.4p. The solution has been obtained by using linear equation.

What is a linear equation?

A linear equation is the one with the largest degree of one. This proves that a linear equation with an exponent greater than one has no variables. On the graph, such an equation results in a straight line.

Let the retail price for a pair of dress pants be 'x'.

We are given that Abdul buys dress pants from a clothing company for p dollars and sells each pair of pants in his men’s clothing shop at a 40% markup.

So, we get the expression as

x = p + 0.4p

Hence, the expression is x = p + 0.4p.

Learn more about linear equation from the given link

https://brainly.com/question/30092358

#SPJ1

Question: 1. Abdul buys dress pants from a clothing company for p dollars. He then sells each pair of pants in his men’s clothing shop at a 40% markup.

Write an expression for the retail price of a pair of dress pants.

The weekly salary is 1353 and tax is 452. So, the percentage of tax is as follows:

Thus, you pay 33.40% tax.

There will be only 6  cubes with only one side painted red.

Cube : A cube is a 3D shape having 6 equal square sides. it has 6 faces , 8 vertices and 12 edges.

According to the question

A 3 cm cube is divided into one centimeter cube.

Every face will have 9 cube each and from that 9 cube there will be only one 1 cube that will have one side painted red.

Since there are 6 faces,

cubes painted one side red = 6x1=6.

Therefore , There will be only 6  cubes with only one side painted red.

Learn more about Cube here https://brainly.com/question/14619542

#SPJ4

Answer:

We can use the slope formula to find the value of j. The slope formula is:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) = (-9, -5) and (x2, y2) = (j, 3). We are given that the slope is 8/7, so we can substitute these values into the slope formula and solve for j:

8/7 = (3 - (-5)) / (j - (-9))

8/7 = 8 / (j + 9)

8(j + 9) = 7(8)

8j + 72 = 56

8j = -16

j = -2

Therefore, the value of j is -2.

The given series 4 + 3 + 9/4 + 27 + ... diverges.

In mathematics, a series is a sum of infinitely many terms. A series is said to be divergent if the sequence of its partial sums (the sum of the first n terms) does not converge to a finite limit. In other words, if the sum of the terms in the series grows larger and larger without bound as we add more terms, then the series is said to be divergent.

The given series can be written in sigma notation as:

∑ (n=0 to ∞) a_n where a_n = {4, 3, 9/4, 27, ...}

The ratio of successive terms is:

a_(n+1) / a_n = (4^(n+1)) / (3^n)

As n tends to infinity, the ratio tends to infinity as well. Therefore, the series does not converge by the Ratio Test.

Thus, the given series diverges.

For more questions like Series click the link below:

https://brainly.com/question/28167344

#SPJ11

Answer:

The answer is 48.

Step-by-step explanation:

The formula for discriminant, D = b² - 4ac. Then you have to substitute the following values into the formula :

\(D = {b}^{2} - 4ac\)

\(let \: a = 2 \\ let \: b = \sqrt{32} \\ let \: c = - 2\)

\(D = {( \sqrt{32} )}^{2} - 4(2)( - 2)\)

\(D = 32 + 16\)

\(D = 48\)

Answer:

Rewrite in slope-intercept form.

y = 5/4x + 4

Using the slope-intercept form, the y-intercept is b=4

Step-by-step explanation:

The value of the given expression is - x² + 3x - 11 and option b is the correct answer.

Binomial is the name for an algebraic expression with only two terms. It is a polynomial with two terms. It is sometimes referred to as the sum or difference of two or more monomials. It is a polynomial's most basic form. Therefore, A binomial is a two-term algebraic statement that includes a constant, exponents, a variable, and a coefficient.

The given expression is:

(-3x² + 4x) + (2x²-x-11)

-3x² + 4x + 2x² - x - 11

Subtract the like terms:

- x² + 3x - 11

Hence, the value of the given expression is - x² + 3x - 11 and option b is the correct answer.

Learn more about binomial expression here:

https://brainly.com/question/29859755

#SPJ9

Answer:

The correct answer would be $136

Step-by-step explanation:

If Karen made $85 in 5 hours and you want to figure out how much she would make in 8 hours, then you would first need to know how much she makes in 1 hour. Do to that, you would divide from 85 by 5, which would then give you 17. So that tells you how much Karen makes in 1 hour, now to find out how much she makes in 8 hours, all you have to do is multiply 17 and 8. Therefore,  the answer to your question is Karen would make $136 in 8 hours.

Hope I helped

The concavity of a function can change at inflection points, where the concavity transitions from concave up to concave down or vice versa. Inflection points occur when the second derivative is equal to zero or undefined.

To determine whether a function is concave up or concave down using the second derivative, you can follow these steps:

Find the second derivative of the function. This involves taking the derivative of the first derivative of the function. The second derivative is often denoted as f''(x) or d²y/dx².

Identify the critical points of the function. These are the points where the first derivative is equal to zero or undefined. You can find the critical points by setting the first derivative equal to zero and solving for x.

Evaluate the second derivative at the critical points. Plug the critical points into the second derivative equation and calculate the resulting values.

Analyze the sign of the second derivative at the critical points. If the second derivative is positive at a critical point, the function is concave up at that point. If the second derivative is negative at a critical point, the function is concave down at that point.

By examining the signs of the second derivative at the critical points, you can determine the concavity of the function in the corresponding intervals.

Remember that this method applies specifically to functions whose second derivative is continuous. In cases where the second derivative is discontinuous or undefined, additional analysis may be needed.

To know more about function:

https://brainly.com/question/29073659

#SPJ4

Answer:

Step-by-step explanation:

The answer is 40000

Answer:

1 neither

2 supplementary

3 supplementary

Step-by-step explanation:

The largest taco contained approximately 1 kg of onion for every 6. 6 kg grilled teak. then Amount of grilled steak used: 6.6 (79.17) = 538.356 kg

What is a unit amount in math?

When a price is expressed as a quantity of 1, such as $25 per ticket or $0.89 per can, it is called a unit price. If you have a non-unit price, such as $5.50 for 5 pounds of potatoes, and want to find the unit price, divide the terms of the ratio

1 k + 6.6 k = 617.3

Where “k” is a constant value, a multiplier.

Solving for k:

7.8 k = 617.3

k = 617.3 /7.8  

k= 79.17

So:

Amount of onion used:

1 (79.17) = 79.17 kg

Amount of grilled steak used:

6.6 (79.17) = 538.356 kg

learn more about of ingredient here

https://brainly.com/question/15103492

#SPJ4

Answer:x≤5

Step-by-step explanation:

Answer:

Option C 7.

Step-by-step explanation:

First lets define this symbol ≤.  This symbol mean smaller than or equal to.  So lets put options 3, 5, and 7 into this equation.

3 - 2 ≤ 3  This is correct.

5 - 2 ≤ 3   This is correct.

7 - 2 ≤ 3   This is incorrect.

The circumference of a circle is 32π feet, which is the correct answer would be option (B).

The Circumference of a circle is defined as the product of the diameter of the circle and pi.

C = πd

where 'd' is the diameter of the circle

We have to determine the circumference of a circle whose radius is 16 feet

As per the question, we have

The radius of the circle r = 16 feet

Circumference of a circle = 2πr

Substitute the value of r in the above formula, and we get

Circumference of a circle = 2π(16)

Circumference of a circle = 32π

Hence, the correct answer would be an option (B).

Learn more about the circumference of the circle here:

brainly.com/question/19794723

#SPJ1

Answer:

$950

Step-by-step explanation:

Take the original amount and subtract the 5% from the total then you have your new total.