I kinda need help with this

Find the mean:40,13,49,53,35

Find the Range:40,13,49,53,35


Find the median:40,13,49,53,35

The probability that a person has a disease given that they test positive, when 0.4% of the population has the disease and the test is positive with probability 0.99 if they have the disease and 0.03 if they don't have it, is 0.116 or about 11.6%.

Let D be the event that the person has the disease and T be the event that the person tests positive. We need to calculate P(D|T), the probability that the person has the disease given that they test positive.

Using Bayes' theorem, we have

P(D|T) = P(T|D) * P(D) / P(T)

where P(T|D) is the probability of testing positive given that the person has the disease, P(D) is the prior probability of having the disease, and P(T) is the total probability of testing positive, which can be calculated as

P(T) = P(T|D) * P(D) + P(T|D') * P(D')

where P(T|D') is the probability of testing positive given that the person does not have the disease, and P(D') is the complement of P(D), which is the probability of not having the disease.

Substituting the given values, we get

P(D|T) = (0.99 * 0.004) / [(0.99 * 0.004) + (0.03 * 0.996)]

= 0.116

Therefore, the probability that the person has the disease given that they test positive is 0.116 or about 11.6%.

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Answer:

10 or -2 (Both work)

Step-by-step explanation:

Solve the equation |x - 4| = 6:

|x - 4| = 6

Now do the inverse operation of negative 4 to get positive 4.

|x - 4| = 6

  + 4  + 4

|x| = |10|

x = 10

The volume of the triangular prism = base area x height

Since its base is a right triangle, then

From the figure leg1 = 6 ft and leg2 = 8 ft

Now multiply it by the height of the prism

Since its height = 12 ft, then

The answer is A

Answer:

824×10^5

Step-by-step explanation:

please mark me as brainlest

Step-by-step explanation:

HOPE IT'S HELPFUL TO YOU

PLS MARK ABOVE GUY ANSWER AS BRAINLIEST

The radius of the cone is 783.84/√h

A cone is the surface traced by a moving straight line (the generatrix) that always passes through a fixed point (the vertex).

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

The volume of a cone is expressed as;

V = 1/3πr²h

643072 × 3 = 3.14 × r²h

r²h = 614400

r² = 614400/h

r = 783.84/√h

therefore the radius of the cone is 783.84/√h

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The proportion of scores in a standard Normal Distribution that are greater than 1.25 is closest to a. a is 0.1056.

The proportion of scores in a standard Normal Distribution that are greater than 1.25 is:

\(P(Z > 1.25) = 1 - P(Z < 1.25)\)

Using a standard normal distribution table or a calculator.

The area to the left of 1.25 is 0.8944, so:

\(P(Z > 1.25) = 1 - P(Z < 1.25) = 1 - 0.8944 = 0.1056\)

The closest answer choice is (a) 0.1056.

The percentage of scores in a normal distribution with a standard deviation larger than 1.25 is:

either a calculator or a normal distribution standard table.

0.8944 is the region to the left of 1.25, so:

The nearest possible response is (a) 0.1056.

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Answer:

Tony and his cousin will each have 42 points in 3 turns.

Step-by-step explanation:

10 x 3 = 30

30 + 12 = 42

14 x 3 = 42

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\(x - intercept = ( - 250 \: , \: 0)\)

\(y - intercept = (0 \: , \: 100)\)

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Answer:

I think it is 2

Step-by-step explanation:

I hope this is right! Please Rate Brainiest!

Answer:

its obv 478

Step-by-step explanation:

1+1=2 divoided by 400=294-478

Answer:

4

Step-by-step explanation:

(y+2)^2

Let y = -4

(-4+2)^2

Parentheses first

(-2)^2

Exponents

4

Answer:

-4

Step-by-step explanation:

y = -4

Substituting y in the equation,

(-4+2)2

(-2)2         [Negative x Positive = Negative]

=> -4

Therefore , the solution of the given problem of integral comes out to be 8ln2 is solution for the integral expression.

The region beneath a curve among two set limits is referred to as a definite integral. The representation of the definite integral for such a function of two variables), defined to reference to the x-axis, is ∫ baf(x)dx a b f (x) d x, where an is the lower bound and b is the upper bound.

Here,

Given :

\(\int\limits \int\limitsa_R\) 3xy²/x²+ 1 dA

=> R = {(x, y) | 0 ≤ x ≤ 3, −2 ≤ y ≤ 2} ·

So,

=>  \(\int\limits^1_{x=0} \int\limits^2_{y=-2}\) 3xy²/x²+ 1  dxdy

=> \(\int\limits^1_{x=0}\) 3x / x²+ 1  \(\int\limits^2_{y=-2}\) y²

=>\(\int\limits^1_{x=0}\) 3x / x²+ 1 ( y³/2)²dx

=>   \(\int\limits^1_{x=0}\) 3x / x²+ 1 (8 + 8 /3) dx

=> \(\int\limits^1_{x=0}\) 16x/x²+ 1

=> 8 [ln(x²+ 1) ]

=>  8 [ln2 -ln1 ]

=>8ln2

Therefore , the solution of the given problem of integral comes out to be

8ln2 is solution for the integral expression.

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The given measurement in scientific notation as \(6\times10^9\). Therefore, option D is the correct answer.

Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as \(1.56\times10^7\).

The given distance is 6,000,000,000 miles.

There are 9 zeros in the given number

So, scientific notation is \(6\times10^9\)

Therefore, the number in scientific notation is \(6\times10^9\).

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Using Lagrange multipliers, the largest possible volume of a rectangular box can be found with a given diagonal length l.

Let's denote the dimensions of the rectangular box as length (L), width (W), and height (H). The volume (V) of the box is given by V = LWH. The constraint equation is the Pythagorean theorem: L² + W² + H² = l², where l is the given diagonal length.

To find the largest possible volume, we can set up the following optimization problem: maximize the volume function V = LWH subject to the constraint equation L² + W² + H² = l².

Using Lagrange multipliers, we introduce a new variable λ (lambda) and set up the Lagrangian function:

L = V + λ(L² + W² + H² - l²).

Next, we take partial derivatives of L with respect to L, W, H, and λ, and set them equal to zero to find critical points. Solving these equations simultaneously, we obtain the values of L, W, H, and λ.

By analyzing these critical points, we can determine whether they correspond to a maximum or minimum volume. The critical point that maximizes the volume will give us the largest possible volume of the rectangular box with a diagonal length l.

By utilizing Lagrange multipliers, we can optimize the volume function while satisfying the constraint equation, enabling us to determine the dimensions of the rectangular box that yield the maximum volume for a given diagonal length.

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We get: v - h + k - s = Ce^(-s/2) or y - x - (h - k) = Ce^(-(x-h-s)/2).

This is the general solution to the original differential equation, in terms of h, k, and C.

To solve the differential equation

dy/dx = (x-y-1)/(x+y+1)

       dy/dx = dv/ds + k

       x - y - 1 = h + s - v - k - 1 = s - v + (h - k - 1)

        x + y + 1 = h + s + v + k + 1 = s + v + (h + k + 1)

        dv/ds + k = [(h + s - v - k - 1) - (s - v + (h - k - 1))] / [(h + s + v + k + 1) -

        (s + v + (h + k + 1))]

       dv/ds + k = [(2h - 2k - 2)s - 2v] / [-2]

       or

       dv/ds = (v - h + k - s) / 2

        dv/ds = du/ds

        and the equation becomes:

        du/ds = -u/2

        v - h + k - s = Ce^(-s/2)

        or

        y - x - (h - k) = Ce^(-(x-h-s)/2)

This is the general solution to the original differential equation, in terms of h, k, and C.

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Answer:

You might wanna double check some of these because i might've forgot to flip some of the < and > signs but I'm pretty sure its correct

1) y = x < -18 and y = x < 18

2) y  = -3 < x < 3

3) x = 1 < y < 6 (it just gets simplified)

4) x = -3 > y > -18

5) y = -2 > x  and y = x < 3.5

6) y = 8.5 > x > 5.5

7) y = -5.75 < x < -3.5

8) y = 1 > x > 2.25

9) -17 < x < -5

Step-by-step explanation:

Answer:6

Step-by-step explanation:24 divided by 4 = 6 i am so sorry if its wrong

Answer:6

Step-by-step explanation: 24 divided by 4 = 6

Answer:

1. True

2. False

3. True

4. True

Step-by-step explanation:

Answer: The "?" would equal 1.

Step-by-step explanation: This is simply a line with a slope of 1 and a y-intercept of zero.

Answer:

-2

Step-by-step explanation:

(-12)+10=-2

Mr. Krumm paid $9.27 for a tie that had a 3% sales tax added on. So, the tie cost $231.75 before the tax was included.

To find out how much the tie cost before the tax was included, we need to first calculate how much of the total price was due to the tax. We know that the total price Mr. Krumm paid was $9.27, and that this price included a $3% sales tax.

To calculate the amount of tax that was included in the price, we can start by setting up an equation:

0.03x = 9.27 - x

Here, x represents the cost of the tie before the tax was included. We know that the tax is 3% of this cost, which is why we're multiplying it by 0.03.. We're also subtracting x from 9.27 to get the amount of tax that was added on.

Simplifying this equation, we get:

0.04x = 9.27

Dividing both sides by 0.04, we get:

x = 231.75

So the tie cost $231.75 before the tax was included.

In summary, Mr. Krumm paid $9.27 for a tie that had a 3% sales tax added on. To find out how much the tie cost before the tax was included, we set up an equation and solved for the cost of the tie (x) before the tax was added. The answer is that the tie cost $231.75 before the tax was included.

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Answer:

D. \(\frac{(x-7)^2}{8^2} -\frac{(y-2)^2}{7^2}\)

Step-by-step explanation:

hope this helps

Answer:  D has the largest perimeter

Step-by-step explanation:

The top numbers of fractions describe the vertex and  the bottom number square rooted tells you how long each or wide each part of the asymptote rectangle is.

A.

P = 2(11) + 2(3)

P = 22+6

P=28

B.

P = 2(4) + 2(9)

p = 8 +18

P = 26

C.

P = 2(5) + 2(9)

P = 10 +18

P = 28

D.

P =  2(8) + 2(7)

P = 16 +14

P = 30

Answer:

$3,570

Step-by-step explanation:

Simple interest = principal × rate × time / 100

Principal = $3,500

Rate = 2%

Time = 1 year

Simple interest = principal × rate × time / 100

= (3500 × 2 × 1) / 100

= 7000 / 100

= 70

Simple interest = $70

Total amount that Luke's sister will repay = principal + simple interest

= $3,500 + $70

= $3,570

Total amount that Luke's sister will repay = $3,570

The length of the rectangle is 6 meters longer than the width of the rectangle. Let's suppose the width is x meters. So, the length of the rectangle is (x + 6) meters.Area of rectangle is 28 square meters.Area of rectangle = length × width28 = (x + 6) × x.Solve for xx² + 6x - 28 = 0(x + 7)(x - 4) = 0x = -7 or 4

The negative value of x because it is not possible.So, the width of the rectangle is 4 meters.The length of the rectangle is (x + 6) meters= 4 + 6= 10 meters.The length of a rectangle is 6 meters longer than the width. If the area is 28 square meters, we need to find the dimensions of the rectangle. Let's suppose the width of the rectangle is x meters. We know that the length of the rectangle is 6 meters more than the width, so the length of the rectangle is (x + 6) meters.Area of a rectangle is the product of its length and width. So, the area of the rectangle is (x + 6) × x. We know that the area of the rectangle is 28 square meters. Therefore, we can write the following equation:28 = (x + 6) × x.To find the value of x, we need to solve this quadratic equation.28 = x² + 6x.Rearranging the terms, we get:

x² + 6x - 28 = 0

We can solve this equation by using the quadratic formula, but we will use the factoring method. We need to find two numbers whose product is -28 and whose sum is 6. These numbers are +7 and -4. Therefore, we can write:

x² + 7x - 4x - 28 = 0x(x + 7) - 4(x + 7) = 0(x + 7)(x - 4) = 0

Therefore, x + 7 = 0 or x - 4 = 0.If x + 7 = 0, then x = -7, which is not a valid solution because the width of the rectangle cannot be negative.If x - 4 = 0, then x = 4. Therefore, the width of the rectangle is 4 meters. The length of the rectangle is x + 6 = 4 + 6 = 10 meters. So, the dimensions of the rectangle are 4 meters by 10 meters.

Therefore, the width of the rectangle is 4 meters, and the length of the rectangle is 10 meters. The dimensions of the rectangle are 4 meters by 10 meters.

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Answer:

3√5

Step-by-step explanation:

Answer:

113 - 180 = 67 degrees

Step-by-step explanation:

113 degrees from 180 degrees equals 67 degrees

Answer:

$767.20

Step-by-step explanation:

100% represents the cost price

Then a profit of 40% represents 100 + 40 = 140% = 1.4

selling price = 1.4 × $548 = $767.20

The derivative of the inverse function f^-1(x) evaluated at x=2 is equal to 1 divided by the expression 6b^2sin(b)cos(b) + 6b^3cos^2(b) - 6b^3sin^2(b).

To find the derivative of the inverse function of f at a point a, we can use the formula:

(f^-1)'(a) = 1 / f'(f^-1(a))

First, let's find the derivative of f(x) using the product rule:

f(x) = x^3 * 3sin(x) * 2cos(x)

f'(x) = 3x^2 * 3sin(x) * 2cos(x) + x^3 * 3cos(x) * 2cos(x) + x^3 * 3sin(x) * (-2sin(x))

Simplifying this expression, we get:

f'(x) = 6x^2sin(x)cos(x) + 6x^3cos^2(x) - 6x^3sin^2(x)

Next, we need to find f^-1(a) by solving the equation:

f(x) = a

Substituting a = 2, we get:

x^3 * 3sin(x) * 2cos(x) = 2

Dividing both sides by 6x^2sin(x)cos(x), we get:

x * tan(x) = 1/3

This equation cannot be solved analytically, so we will need to use numerical methods or approximations to find f^-1(a).

Assuming we have found f^-1(a), we can now calculate (f^-1)'(a) as:

(f^-1)'(a) = 1 / f'(f^-1(a))

Substituting a = 2 and f^-1(a) = b, we get:

(f^-1)'(2) = 1 / f'(b)

We can now substitute b into the expression for f'(x) to get:

f'(b) = 6b^2sin(b)cos(b) + 6b^3cos^2(b) - 6b^3sin^2(b)

So:

(f^-1)'(2) = 1 / (6b^2sin(b)cos(b) + 6b^3cos^2(b) - 6b^3sin^2(b))

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Answer:

x=4 y=8

Step-by-step explanation: