I need help with this probability question. You dont need to tell me the answer just how to do it ( but if you do i would greatly appreciate it)

To find the area of the region interior to r = 9 + 7sin(θ) below the polar axis, we can integrate the function from the lower bound of θ to the upper bound of θ and take the absolute value of the integral.

To find the area of the region formed by two petals of r = 8sin(3θ), we can integrate the function over the appropriate range of θ and take the absolute value of the integral. To find dy/dx for the given parametric equations x = t^(1/3) and y = 3 - t, we differentiate y with respect to t and x with respect to t and then divide dy/dt by dx/dt.

To find the area of the region interior to r = 9 + 7sin(θ) below the polar axis, we need to evaluate the integral ∫[lower bound to upper bound] |1/2 * r^2 * dθ|. In this case, the lower bound and upper bound of θ will depend on the range of values where the function is below the polar axis. By integrating the expression, we can find the area of the region. To find the area of the region formed by two petals of r = 8sin(3θ), we need to evaluate the integral ∫[lower bound to upper bound] |1/2 * r^2 * dθ|.

The lower bound and upper bound of θ will depend on the range of values where the function forms the desired shape. By integrating the expression, we can calculate the area of the region. To find dy/dx for the parametric equations x = t^(1/3) and y = 3 - t, we differentiate both equations with respect to t. Taking the derivative of y with respect to t gives dy/dt = -1, and differentiating x with respect to t gives dx/dt = (1/3) * t^(-2/3). Finally, we can find dy/dx by dividing dy/dt by dx/dt, resulting in dy/dx = -3 * t^(2/3).

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The phrase "twelve less than the product of three and a number" can be translated into an algebraic expression 3x - 12. We can use this expression to find the value of the expression for a given value of x or to write and solve an equation involving this expression.

The phrase "twelve less than the product of three and a number" can be translated into an algebraic expression. To do this, we need to assign a variable to the unknown number and then use multiplication and subtraction to represent the given information.

Let x be the unknown number. The product of three and x is 3x. Twelve less than 3x is 3x - 12. Therefore, the algebraic expression for "twelve less than the product of three and a number" is 3x - 12. This expression represents a value that is 12 less than three times the number x.

For instance, if we know that a number is 7, we can use this expression to find the value of "twelve less than the product of three and 7."3x - 12 = 3(7) - 12= 21 - 12= 9Therefore, the value of "twelve less than the product of three and 7" is 9. We can also use this expression to write an equation and solve for x. For example, if we know that the value of "twelve less than the product of three and a number" is 33, we can write an equation:3x - 12 = 33Then, we can solve for x:3x = 33 + 123x = 45x = 15. Therefore, the unknown number is 15.

To summarize, the phrase "twelve less than the product of three and a number" can be translated into an algebraic expression 3x - 12. We can use this expression to find the value of the expression for a given value of x or to write and solve an equation involving this expression.

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Answer:

4 sq ft is the answer to your question

Answer: Evaluate x\(\frac{8}{3}\)

DIFFERENTIATE W.R.T. X

\(\frac{8x\frac{5}{3} }{3}\)

​

Step-by-step explanation:

Answer:

the area of the glass is 1000cm^2

Step-by-step explanation:

Given that

The side is 50 cm

And, the power is 40 cm

We need to find out the area of the glass

So, the area of the glass is

= (50 × 40 ) ÷ 2

= 2,000 ÷ 2

= 1,000 cm^2

Hence, the area of the glass is 1000cm^2

The same is to be considered and relevant

Answer: b

Step-by-step explanation: because if u see the numbers and they match

Answer:

c=ab/2y

Step-by-step explanation:

y=ab/2c

to get rid of the denominator we divide by 2c.

(y=ab/2c)2c

2cy=ab

now we need to get rid of the 2y from the c to isolate it. in order to do this, we must divide by 2y.

Doing this we get c=ab/2y

9514 1404 393

Answer:

  c = (ab)/(2y)

Step-by-step explanation:

The given equation can be multiplied by c/y to solve for c.

  \(y=\dfrac{ab}{2c}\\\\y\cdot\dfrac{c}{y}=\dfrac{ab}{2c}\cdot\dfrac{c}{y}\\\\\boxed{c=\dfrac{ab}{2y}}\)

_____

Comment on the form of the answer

When the answer is written in plain text, the fraction bar no longer serves as a grouping symbol. Hence, parentheses are needed around the denominator:

  c = ab/(2y)

The probability that at least one of them is a kindergartner; 0.643.

Calculating or estimating how likely something is to occur is what probability is all about. The likelihood of an event occurring can be expressed using words like "certain," "impossible," or "probable."

Probabilities are always expressed in mathematics as fractions, decimals, or percentages with values ranging from 0 to 1.

Calculation for the probability of the one of them is a kindergarden;

The total number of children is 8.

The total number of kindergarden are 3.

The total number of first graders are 5.

Let 'P' be the probability that at least one of them is kindergarden.

P(at least one kindergartner) = 1 - P(no kindergartner) = 1 - P(all first-graders)

The probability that all are first-graders = (5/8)×(4/7)

                                                                  = 5/14

Therefore, P(at least one kindergartner) = 1 - (5/14)

                                                                   = 9/14

                                                                   = 0.643

Therefore, if two children are ill then, the probability that at least one of them is a kindergartner is 0.643.

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The correct question is-

A carpool contains three kindergartners and five first-graders. if two children are ill, find the probability that at least one of them is a kindergartner.

Answer:

y = 2/3x + 4

Step-by-step explanation:

Let the equation of the line be y = mx + c

m = (2-8)/(-3-6) = 2/3

sub (6, 8):

8 = 2/3(6) + c

c = 4

the equation if the line is y = 2/3x + 4

This is a question on coordinate geometry. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{16\% of 5000}}{\left( \cfrac{16}{100} \right)5000}\implies 800\)

Answer:

18/24 or 75%

Step-by-step explanation:

Okay so you already know that he got 16/24 which means that there were 8 questions that were wrong because 24-16= 8

So he has 16 points that we know of and 8 questions that he got wrong.

If he lost 1/4 of a point when he got it incorrect 1/4= 0.25

0.25 x 8 = 2points

So he got to points

16+ 2= 18 so now it is 18/24

If you have to show Out for 100% it would be 75%

Hope it helped!

From the given table, Player A is the most consistent, with an IQR of 1.5. So, correct option is A.

To find the best measure of variability for this data, we need to consider a measure that is robust and resistant to outliers. The interquartile range (IQR) is a good choice as it is calculated based on the range of values that fall within the middle 50% of the data and is therefore less affected by extreme values.

To calculate the IQR, we first need to find the median, which is the middle value in the dataset. For Player A, the median is 3 and for Player B, the median is 2.5.

Next, we calculate the first quartile (Q₁) and the third quartile (Q₃) which represent the 25th and 75th percentiles of the data, respectively. For Player A, Q₁ is 2 and Q₃ is 3.5, while for Player B, Q₁ is 2 and Q₃ is 4.5.

The IQR is the difference between Q₃ and Q₁. For Player A, the IQR is 1.5 (3.5 - 2) and for Player B, the IQR is 2.5 (4.5 - 2). Therefore, Player A is more consistent as their IQR is smaller, indicating that their runs earned are more tightly clustered around the median.

The range, which is the difference between the largest and smallest values in the dataset, is also a measure of variability, but it is sensitive to extreme values. In this case, the range for Player A is 7 (8 - 1) and for Player B is 5 (6 - 1), but these values do not provide as accurate an indication of consistency as the IQR.

So, correct option is A.

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Complete question is:

The table shows the number of runs earned by two baseball players.

Player A

2, 1, 3, 8, 2, 3, 4, 3, 2

Player B

2, 3, 1, 4, 2, 2, 1, 4, 6

Find the best measure of variability for the data and determine which player was more consistent.

Player A is the most consistent, with an IQR of 1.5.

Player B is the most consistent, with an IQR of 2.5.

Player A is the most consistent, with a range of 7.

Player B is the most consistent, with a range of 5.

The null hypothesis (H₀) is that the proportion of customers who try out the samples is equal to 0.15, and the alternative hypothesis (H₁) is that the proportion of customers who try out the samples is more than 0.15

In order to determine whether the proportion of customers who try out the samples being offered is more than 0.15, we'll need to set up null and alternative hypothesis for this test.

The null hypothesis (H₀) is the statement that there is no difference or effect, and in this case, it would state that the proportion of customers who try out the samples is equal to 0.15. Mathematically, we can represent this as:
H₀: p = 0.15

The alternative hypothesis (H₁) is the statement that contradicts the null hypothesis, asserting that there is a difference or effect. In this case, it would state that the proportion of customers who try out the samples is more than 0.15. Mathematically, we can represent this as:
H₁: p > 0.15

In summary, for this test, the null hypothesis (H₀) is that the proportion of customers who try out the samples is equal to 0.15, and the alternative hypothesis (H₁) is that the proportion of customers who try out the samples is more than 0.15.

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Answer:

Using a graph of the data points, you can determine if a relation is a function by using the vertical line test. If you can draw a vertical line through a graph and touch only one point, the relation is a function.

Step-by-step explanation:

Answer:

use a graph of data points

Answer: 70

Step-by-step explanation:

Supplementary angles sum to 180.

110+x= 180

X= 70

Answer:

70

Step-by-step explanation:

c=110 degree

to find other supplementary angle:

180-110=70

Answer:

16 miles

Step-by-step explanation:

let the number of miles driven be = x

Company A = Company B

8 + 0.10x = 0.60x

8 = 0.50x

x = 16

Hi ~ just a quick note:

I just started uploading videos to yt that contains steps to solving a problem. I sometimes share an unlisted video link so you can view it.

https://youtu.be/XhqLj_YOLBM

-Chetan K

The statement that is true about these functions include the following: C. I, II, and III.

In Mathematics and Geometry, a function defines and represents the relationship that exists between an independent variable and a dependent variable such as an ordered pair in tables or relations.

In this exercise, we would determine the corresponding composite function of f(x) and g(x) under the given mathematical operations in simplified form as follows;

f(x) = 3x³ + 2

g(x) = ∛(x - 2)/3

For the composite function f(g(x)), we have:

f(g(x)) = 3{∛[(x - 2)/3]}³ + 2

f(g(x)) = 3[(x - 2)/3] + 2

f(g(x)) = x (true statement).

For the composite function g(f(x)), we have:

g(f(x)) = ∛[(3x³ + 2 - 2) / 3]

g(f(x)) = ∛x³

g(f(x)) = x (true statement).

Therefore, we can logically conclude that functions f(x) and g(x) are inverse functions.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

= -36.4

Step-by-step explanation:

- 25 x - 9 < 910

Add 9 to both sides

- 25 x < 919

Divide -25 to both sides

- 25 / - 25 < 919 / - 25

= -36.4

Answer:

An irrational number is a number that cannot be written as a fraction. It is a non-repeating, non-terminating decimal. Approximate square root of numbers that are not perfect squares and put them on the number line.

Answer:

f(-5) = -25

Step-by-step explanation:

f(-5) = -(-5)^2

f(-5) = -25

hope this helps, pls mark brainliest :D

Answer:

The answer is x=5 and x=−5

x² - 25 = 0

(x-5)(x+5)=0

x²-5x+5x-25=0

x-5=0 x+5=0

x=5 or x=-5

Answer:

undefined

Step-by-step explanation:

First isolate x.

12 + 4x = 6x + 10 - 2x

12 + 4x = 4x + 10

     -4x     -4x

12 \(\neq\) 10

Answer:

1/4

2/8

.25

1:4

Step-by-step explanation:

Answer: 1/4 (Simplified) and 16/64

Step-by-step explanation:

8/32 can be written as 1/4 (Simplified) and 16/64 (Larger Ratio)

In percentage = 0.25

The artificial variables is x1 ≥ 0, x2 ≥ 0, x3 ≥ 0, A1 ≥ 0, A2 ≥ 0

To reformulate the given problem as a convenient artificial problem for preparing to apply the simplex method, we introduce artificial variables. The steps to reformulate the problem are as follows:

1. Introduce the artificial variables. For each inequality constraint, introduce an artificial variable by subtracting a slack variable from the left-hand side of the inequality.

The problem can be reformulated as follows:

Minimize Z = 2x1 + x2 + 3x3

subject to:

5x1 + 2x2 + 7x3 + A1 = 420    (Equation 1)

3x1 + 2x2 + 5x3 + A2 = 280    (Equation 2)

where A1 and A2 are the artificial variables.

2. Rewrite the problem with the added artificial variables. The reformulated problem becomes:

Minimize Z = 2x1 + x2 + 3x3 + 0A1 + 0A2

subject to:

5x1 + 2x2 + 7x3 + A1 = 420    (Equation 1)

3x1 + 2x2 + 5x3 + A2 = 280    (Equation 2)

x1 ≥ 0, x2 ≥ 0, x3 ≥ 0, A1 ≥ 0, A2 ≥ 0

By introducing the artificial variables, we have transformed the original problem into a convenient artificial problem that can be solved using the simplex method.

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The complete question is:

Consider the following problem.

Minimize

Z = 2x_{1} + x_{2} + 3x_{3}

x_{3} >= 0

subject to

5x_{1} + 2x_{2} + 7x_{3} = 420

3x_{1} + 2x_{2} + 5x_{3} >= 280

and

x_{1} >= 0

x_{2} >= 0

Introduce artificial variables to reformulate this problem as a convenient artificial problem for preparing to apply the simplex method.

Step-by-step explanation:

Principal = 250,000

Rate = 4%

Simple interest = 850,000

Time = ?

\(t = \frac{100 \times interest}{principal \times rate} \\ t = \frac{100 \times 850000}{250000 \times 4} \\ t = \frac{100 \times 85}{25 \times 4} \\ t = \frac{8500}{100} \\ t = 85years\)

By making a substitution and taking the antiderivative, we obtained the arc length as approximately 43.07 units.

To find the arc length of the curve x = 2y^(3/2) from y = 0 to y = 6, we can use the arc length formula for a curve given by parametric equations.

The arc length formula for a curve parameterized by x = f(t) and y = g(t) over an interval [a, b] is given by:

L = ∫[a, b] √(dx/dt)² + (dy/dt)² dt

In this case, we have x = 2y^(3/2) and the interval of integration is from y = 0 to y = 6. We need to express dx/dt and dy/dt in terms of y.

Differentiating x = 2y^(3/2) with respect to y, we get:

dx/dy = 3y^(1/2)

Differentiating y = y with respect to y, we get:

dy/dy = 1

Now, we can substitute these derivatives into the arc length formula:

L = ∫[0, 6] √(3y^(1/2))² + 1² dy

L = ∫[0, 6] √(9y + 1) dy

To evaluate this integral, we can make a substitution by letting u = 9y + 1. Then, du = 9dy, and when y = 0, u = 1, and when y = 6, u = 55.

The integral becomes:L = (1/9) ∫[1, 55] √u du

Taking the antiderivative, we have:

L = (1/9) * (2/3) * (u^(3/2)) | [1, 55]

L = (2/27) * [(55)^(3/2) - (1)^(3/2)]

L = (2/27) * [(55)^(3/2) - 1]

Using a calculator, we can approximate the value of L:

L ≈ 43.07 units

Therefore, the arc length of the curve x = 2y^(3/2) from y = 0 to y = 6 is approximately 43.07 units.

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False.The standard error of the mean for the sample from population A (SE_A = 2.75) is larger than that for the sample from population B (SE_B = 3.47), not smaller.

The standard error of the mean is calculated as the standard deviation divided by the square root of the sample size. Therefore, for population A, the standard error (SE) can be calculated as SE_A = 11 / sqrt(16) = 11 / 4 = 2.75. For population B, the standard error (SE) can be calculated as SE_B = 6 / sqrt(3) ≈ 6 / 1.73 ≈ 3.47.

The standard error of the mean for the sample from population A (SE_A = 2.75) is larger than that for the sample from population B (SE_B = 3.47), not smaller. Therefore, the statement "The standard error of the mean for the sample from population A is smaller than that for the sample from population B" is false.

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The present value of the annuity at the end of year 7 is approximately $47,069.08.

To calculate the present value of an ordinary annuity, we can use the formula:

PV = PMT * [(1 - (1 + r)⁻ⁿ) / r],

where PV is the present value, PMT is the annual payment, r is the interest rate per period, and n is the number of periods.

In this case, the annual payment is $4,500, the interest rate is 8%, and the number of periods is 16. However, the payments start at the end of year 8 and continue until the end of year 23, which means there is a delay of 7 years.

Using the formula, the present value at the end of year 7 can be calculated as:

PV = $4,500 * [(1 - (1 + 0.08)⁻¹⁶) / 0.08] = $47,069.08.

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The condition that p(x)/q(x) is an integer for any number of inputs of integers x is satisfied by the integer polynomials p and q. It's not necessary for q(x) to split p(x).

In mathematics, a polynomial with integer values (also called a numerical polynomial) has an integer value for each integer n.

Contrary to popular belief, every polynomial with integer coefficients has integer values.

For instance, when t is an integer, the polynomial takes on integer values.

So, polynomials are the sums of terms of the form kˣⁿ, where k is any number and n is a positive integer.

A description of polynomials, such as the polynomial 3x+2x-5.

The concepts of degree, standard form, monomial, binomial, and trinomial are all covered in this section.

Therefore, the condition that p(x)/q(x) is an integer for any number of inputs of integers x is satisfied by the integer polynomials p and q. It's not necessary for q(x) to split p(x).

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