Britney just got a new video game for her birthday. Yesterday, she played for 27 minutes and beat 3 levels. Today, her parents said she can play for 45 minutes. If she beats levels at the same rate, how many levels should Britney beat today?

Assuming that a person is tested twice and that the results of the tests are independent from each other, the probability that the person has the disease after testing positive twice can be found using Bayes' theorem.

Bayes' theorem provides a way to update the probability of an event based on new evidence. In this case, the probability of having the disease given two positive test results can be calculated using the probability of testing positive given the disease and the probability of having the disease before the test.

The formula for Bayes' theorem is as follows: P(A|B) = P(B|A) * P(A) / P(B), where P(A|B) is the probability of event A given that event B has occurred, P(B|A) is the probability of event B given that event A has occurred, P(A) is the prior probability of event A, and P(B) is the marginal probability of event B. In this case, let event A be having the disease and event B be testing positive twice.

The probability of testing positive given the disease is the sensitivity of the test, and the prior probability of having the disease is the prevalence in the population. The marginal probability of testing positive twice can be found by multiplying the probability of testing positive once by itself.

To summarize, the probability that a person has the disease after testing positive twice can be calculated using Bayes' theorem. The probability of testing positive given the disease is the sensitivity of the test, and the prior probability of having the disease is the prevalence in the population. The marginal probability of testing positive twice can be found by multiplying the probability of testing positive once by itself.

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There were 4 speed bumps installed on the road leading into the house development.

What is the formula of speed when time and distance have given?

The formula is speed = distance/time

Here given,

The length of the road is 3/4 miles or 12/16 miles and the distance between each speed bump is 3/16 miles.

Now we want to obtain the number of speed bumps,

So, Number of speed bumps = (Total distance of road) / (Distance between each speed bump)

Number of speed bumps = \( \frac{ \frac{12}{16} }{ \frac{3}{16} } \)

Number of speed bumps = \( \frac{12}{16} \times \frac{16}{3} \)

Number of speed bumps = 4

Therefore, there were 4 speed bumps installed on the road leading into the house development.

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Answer:

\(x=\frac{5}{2}\)     or     x= -4

Step-by-step explanation:

To solve the quadratic equation, start by factorizing it.

\(2x^{2} +3x-20=0\)

(2x -5)(x +4)= 0

Since the equation equals to zero, either one of its factor, i.e. (2x -5) or (x +4), can be equal to zero.

2x -5= 0     or     x +4= 0

Solve for x:

2x= 5         or           x= -4

\(\bf{x=\frac{5}{2}}\)

_______

Alternatively, the quadratic formula can be used to solve the equation.

\(\boxed{x=\frac{-b\pm\sqrt{b^{2}-4ac } }{2a} }\)

This is especially useful when the quadratic equation cannot be factorized. To use the formula, ensure that the equation is in the form of \(ax^{2} +bx +c=0\).

Additional:

For an example on solving quadratic equations using the quadratic formula, do check out the following!

The correct answer is h(t) = 14.25 + 0.25 * sin((π/26) * t)

To model the hours of daylight in a year using a sinusoidal equation, we can consider the average length of daylight, the amplitude of the variation, and the period of the function.

Given:

Summer solstice (longest day) is 14.5 hours

Winter solstice (longest night) is 14 hours

Let's analyze the information:

Average daylight: The average daylight throughout the year would be the average of the summer and winter solstices. It can be calculated as:

Average daylight = (14.5 + 14) / 2 = 14.25 hours

Amplitude: The difference between the average daylight and the longest day or night is the amplitude. In this case, the amplitude is half the difference between the summer and winter solstices. It can be calculated as:

Amplitude = (14.5 - 14) / 2 = 0.25 hours

Period: We are modeling the function over a year, which we'll consider as 52 weeks. Since we want to measure time in weeks (t), the period of the function is 52 weeks.

Putting all the information together, we can write the sinusoidal equation:

h(t) = Average daylight + Amplitude * sin((2π / Period) * t)

Substituting the values we calculated:

h(t) = 14.25 + 0.25 * sin((2π / 52) * t)

Simplifying further, the sinusoidal equation modeling the hours of daylight in a year is:

h(t) = 14.25 + 0.25 * sin(π/26 * t)

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Answer:

Square is the answer

hope it helps u

plz mark it as brainliest

Answer:

7is to 6

Step-by-step explanation:

u decide number with an common factor

The transformation that is used to transform the figure P to figure Q is described by (b) (x, y) → (x+5, y+3).

The Transformation of the "figure P" being translated 5 units to the right and 3 units up to create the "figure Q" is called as a type of "translation" in the coordinate plane.

When we shift a point (x, y) by "a" units to the right and "b" units up, the new coordinates become as ⇒  (x + a, y + b).

The coordinates of "figure P" is translated 5 units to the right and 3 units up, that means we will use the rule (x,y) → (x+5, y+3) to describe the transformation.

Therefore, the correct transformation used is  (b) (x, y) → (x+5, y+3).

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The given question is incomplete , the complete question is

A "figure P" was translated 5 units to the right and 3 units up to create "figure Q". Which rule describes this transformation ?

(a) (x, y) → (x-5, y-3)

(b) (x, y) → (x+5, y+3)

(c) (x, y) → (x-3, y-5)

(d) (x, y) → (x+3, y+5)

Answer:

So I am honestly not sure what THEY though when they did this.

Step-by-step explanation:

So when you look at this, we see that:

3x+3y=10

2x+3y=20

Lets just compare these two.

There is only two differences

There is 1 less x, or -1x in the bottom equation.

The number value is 10 more, or +10, in the bottom equation.

This must mean that -x=10

Or

x=-10

This is my way of doing it, their way of doing this is:

Combining the two equations 3x+3y=10 and 2x+3y=20

lets work through this their way and find our mistake.

So combining them we get:

5x-6y=30

Oh...

Well, I see their mistake, do you?

This is our equation:

5x+6y=30

Their equation:

5x=30

The difference is that they though they needed to subtract 3 y from 3y, canceling the two y variables out. When really, you need to combine the two y values.

So this is our REASONING.

Now, you cannot solve it this way further, since you have two variables.

However, using the method above, we were able to find that x=-10

Hope this helps! :)

Answer:

18.75 feet

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

Answer:

85% of 190 is 161.5

Step-by-step explanation:

That is all.

Answer:

3,276

Step-by-step explanation:

10% of 3,640 is 364.

So, 3,640 - 364 = 3,276

90% of 3,640 is 3,276.

9514 1404 393

Answer:

  54

Step-by-step explanation:

Let d represent the number of donuts. The cost is proportional to the number, so we have ...

  d/33.00 = 9/5.50

  d = 33.00(9/5.5) = 9·6 = 54

You can buy 54 donuts for $33.00.

Answer: 3/52

Step-by-step explanation:

You want to pick a diamond jack, diamond queen or diamond king

There are only 3 of those so

P(DJ or DQ or DK) = 3/52        There are 3 of those out of 52 total

The converse of the statement "If a figure is a square, its diagonals divide it into isosceles triangles" would be:

"If a figure's diagonals divide it into isosceles triangles, then the figure is a square."

The converse statement is not necessarily true. While it is true that in a square, the diagonals divide it into isosceles triangles, the converse does not hold. There are other shapes, such as rectangles and rhombuses, whose diagonals also divide them into isosceles triangles, but they are not squares. Therefore, the converse of the statement is not always true.

Therefore, the converse of the given statement is not true. The existence of diagonals dividing a figure into isosceles triangles does not guarantee that the figure is a square. It is possible for other shapes to exhibit this property as well.

In conclusion, the converse statement does not hold for all figures. It is important to note that the converse of a true statement is not always true, and separate analysis is required to determine the validity of the converse in specific cases.

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Answer:

Ask every tenth customer over the period of a week.

Step-by-step explanation:

Required

Select which of the options is true

(a) Every 5th male customer

This method will not produce a correct representative sample because only the male customers are surveyed. The opinion of the female customers will not be represented in the sample

(b) Every customer after 5:00pm

This method will not produce a correct representative sample because only the customers who come to the bakery before 5:00pm will not be represented. The opinion of these customers will not be represented in the sample

(c) Every 10th customer over the week

This method will produce a correct representative sample because the opinions of the customers are taken, irrespective of the gender or the time the customer walks into the bakery.

A solid is a three-dimensional figure that encloses a region of space.

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FILL IN THE BLANK. "a __solid___ is a three-dimensional figure that encloses a region of space."

A solid is a three-dimensional figure that encloses a region of space. It can be defined as a geometric shape that has length, width, and height and is made up of atoms, molecules, or ions.

Therefore, a solid can be classified as a polyhedron or a curved surface figure. Examples of solids include cubes, pyramids, spheres, cylinders, and cones.
A polyhedron is a three-dimensional figure that encloses a region of space.

A polyhedron is a solid shape formed by flat polygonal faces, straight edges, and vertices. These faces enclose a three-dimensional region of space, giving the polyhedron its distinct shape.

In summary, the term you are looking for is "polyhedron," which describes a 3D figure composed of flat polygonal faces enclosing a region of space.

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D. 28/3 cm³

1) Given those dimensions, let's plug them into the following formula for the Volume of a Rectangular Prism, and simplify those fractions

8 and 4 by 4: 2, 1

10 and 5 by 5: 2,1

2) Hence the volume of that Prism is 28/3 cm³

The required population in the year 2017 is given as 8.25 million.

Given that,
Let P(t) be the population of Arizona, in millions, t years after 1990. In 1990 Arizona had a population of 3.67 million. Assuming a constant growth rate of 3%, the population of Arizona satisfies the equation
ln(P(t))=ln(3.67)+0.03

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Given expression,
ln(p(t)) = ln(3.67) + 0.03t
\(p(t) = 3.67e^{0.03t}\)
For year 2017 put t = 2017 - 1990 = 27
\(p(27) = 3.67e^{0.03\times27}\\p(27) = 8.25\)

Thus, the required population in the year 2017 is given as 8.25 million.

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The shortest distance (d) between the point P0 and the line L, as well as the closest point Q on L to P0, need to be found.

o find the shortest distance (d) between the point P0 and the line L, we can use the formula that involves the projection of the vector connecting P0 to any point on L onto the direction vector of L.

Find the vector connecting P0 to a point on L: →v = →P0 - →P = [-2 - (-2), -1 - 2, 5 - (-5)] = [0, -3, 10].

Calculate the projection of →v onto the direction vector →d: proj_→d →v = (→v · →d) / ||→d||^2 * →d = (-6 - 3 + 30) / (9 + 1 + 9) * [-3, -1, -3] = [3, 1, 3].

The shortest distance d is the magnitude of the vector →v - proj_→d →v: d = ||→v - proj_→d →v|| = ||[0, -3, 10] - [3, 1, 3]|| = ||[-3, -4, 7]|| = sqrt(74).

The point Q on L that is closest to P0 is found by adding the projection vector to point P: Q = P + proj_→d →v = [-2, 2, -5] + [3, 1, 3] = [1, 3, -2].

Therefore, the shortest distance d from P0 to L is sqrt(74), and the closest point Q on L to P0 is (1, 3, -2).


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Answer: L = 59 feet, W = 29.5 feet

Step-by-step explanation:

Let P be the perimeter, L the length, and W the breath [breadth?] of the volleyball court.  We'll assume it is rectangular.

We know that the P of the rectangle is 2L+2W:  

 P = 2L+2W

We also are told that:

 L = 2W

We can use this definition of L in the forst equation:

P = 2L+2W

P = 2*(2W)+2W

P = 6W

P = 177 feet

Therefore 177 ft = 6W, and

W = 29.5 feet

The total for the length is 177 - 2W, or (177 - 59) ft

2L = (177 - 59)

2L = 118

L = 59 feet

Answer:

CB

Step-by-step explanation:

Answer:

CB

Step-by-step explanation:

Answer:

200 feet

Step-by-step explanation:

Answer:

4/5+14%15

4×3/5+14×1/15

12+14/15

26/15

(26/5)/2

13/15

Answer:ay

Step-by-step explanation:

yaaaaaaaaaaaaaaaaaaaaaaaaaa

To graph a rational function example, start by writing the equation in the form y = (ax + b)/(cx + d).

Then, plot the points where the denominator equals zero (when x = -d/c). These points are called vertical asymptotes.Next, plot the points where the numerator equals zero (when x = -b/a). These are called horizontal asymptotes.Finally, plot points between the vertical and horizontal asymptotes to graph the rational function.Plotting the points between the vertical and horizontal asymptotes will allow you to see the shape of the graph. Start by plotting points on either side of the vertical and horizontal asymptotes. Then, plot points at evenly spaced x-values between the vertical and horizontal asymptotes. For example, if the vertical asymptote is at x=-d/c, and the horizontal asymptote is at x=-b/a, you can plot points at x=-1.5d/c, x=-0.5d/c, x=-1.5b/a, and x=-0.5b/a. By plotting these points and connecting them with a smooth curve, you can graph the rational function.

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The expression of the additional tiles added to Design 2 square floor design is (8x + 15).

Let 'x' be the length of a side of the square floor design. Then, the total number of tiles required for the square floor design is given by \(x^2\)

Now, if Howard must add 5 tiles to two of the sides and 3 tiles to the other two sides, then the dimensions of the new square will be (x + 5) and (x + 3). Thus, the total number of tiles required for the new square will be: (x + 5) × (x + 3).

In order to determine the expression for the number of additional tiles added to Design 2 square floor design, we will subtract the number of tiles required for the original square floor design from the number of tiles required for the new square.

Thus, the expression for the number of additional tiles added to Design 2 square floor design is given by: \((x + 5) \times (x + 3) - x^2\)

Now, we will simplify the above expression: \(x^2 + 3x + 5x + 15 - x^2\)

So, additional tiles added to Design 2 square floor design = 8x + 15

Therefore, the expression for the number of additional tiles added to Design 2 square floor design is: (8x + 15).

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I would say y=1.5x +8

When Aaron started, he was on page 8 (Which is the +8 part.) he reads 1.5 pages every minute (Which is the 1.5x part.)

Step-by-step walkthrough:

a.

Well a standard half-life equation looks like this.

\(N = N_0 * (\frac{1}{2})^{t/p\)

\(N_0\) is the starting amount of parent element.

\(N\) is the end amount of parent element

\(t\) is the time elapsed

\(p\) is a half-life decay period

We know that the starting amount is 74g, and the period for a half-life is 2.8 days.

Therefore you can create a function based off of the original equation, just sub in the values you already know.

\(N(t) = 74g * (\frac{1}{2})^{t/2.8days\)

b.

This is easy now that we have already made the function. Here we just reuse it, but plug in 2.8 days.

\(N(t) = 74g * (\frac{1}{2})^{t/2.8days} = N(2.8days) = 74g * (\frac{1}{2})^{2.8days/2.8days}\\= 74g * \frac{1}{2} = 37g\)

c.

Now we just gotta do some algebra. Use the original function but this time, replace \(N(t)\) with 10g and solve algebraically.

\(10g = 74g * (\frac{1}{2})^{t/2.8days}\\\\\frac{10g}{74g} = (\frac{1}{2})^{t/2.8days}\)

Take the log of both sides.

\(log(\frac{5}{37}) = log((\frac{1}{2})^{t/2.8days})\)

Use the exponent rule for log laws that, \(log(b^x) = x*log(b)\)

\(log(\frac{5}{37}) = \frac{t}{2.8days} * log(\frac{1}{2})\)

\(\frac{log(\frac{5}{37})}{log(\frac{1}{2})} = \frac{t}{2.8days}\)

\(2.8 * \frac{log(\frac{5}{37})}{log(\frac{1}{2})} = t\)

slap that in your calculator and you get

\(t = 8.1 days\)

The correct answer is dV/dt = 16πr dr/dt.

The correct expression for dV/dt for a cylinder with height 8 inches and radius r inches, given the formula V = 8πrr², is:

dV/dt = 16πr dr/dt (Option e)

Here's a step-by-step explanation:

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