P(A | B) can be read as "the probability that B occurs given that A has
occurred."
A. True
B. False

Answer: b because i did the eqaution on paper

Step-by-step explanation:

Answer:

1.

as we can see in the first fraction, they are multiplying the denominator by 5 to get from a denom of 20 to 100. THerefore,  we can now multiply the num of 17/20 by 5 to get our answer. 17x5=85

85/100 can be written as .85.

THe answer is 85

2.

By folowing the same proccess we see that the denom in being multiplied by 2 and therefore by doing the ssame with the num we get 62. 62/100 is 0.62. To find this you can divide 62 by 100 or just know that any number over 100 is the decimel. For example in the fraction 76/100 0.76 is the decimal.

62

0.62

Overall we don't really need the model

Step-by-step explanation:

Length = 4m

Width = ½ of length = ?

Then width will be,

→ 4 × 1/2

→ 4 ÷ 2 × 1

→ 2 × 1 = 2

Thus, 2 is the width.

The description corresponds to an observational study, which involves gathering data and information to draw conclusions without intervening in the process. Correct answer: letter D.

An experiment would involve manipulating the variables to see the effect of the manipulation. In this case, it would involve changing the caffeine consumption and observing the effect on heart arrhythmias.

In order to better understand the relationship between heart arrhythmias and caffeine consumption, researchers need to consider a variety of factors, including the amount of caffeine consumed, the timing of consumption, and any potential underlying medical conditions that could be influencing the results.

Furthermore, researchers need to ensure that the study population is large enough and diverse enough to accurately reflect the general population. Additionally, researchers need to consider potential confounding variables, such as lifestyle factors, medications, and other dietary components that could be influencing the results.

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Answer:  The Van needs 18 gallons of gas to travel 360 miles.

Answer:

domain: 2x+1 not equal to zero, then x not equal to -1/2

Set 2x+1>0

then x>-1/2

100^(3-4x)/(2x+1)<=0.01^(5x-8)/(2x+1)

100^(3-4x)<=0.01^(5x-8)

(10^2)^(3-4x)<=[10^(-2)]^(5x-8)

10^[2*(3-4x)]<=10^[(-2)*(5x-8)]

10^(6-8x)<=10^(16-10x)

6-8x<=16-10x

2x<=10

x<=5

combine x>-1/2 and x<=5

then - 1/2<x<=5

Set 2x+1<0

then x<-1/2

100^(3-4x)/(2x+1)<=0.01^(5x-8)/(2x+1)

100^(3-4x)>=0.01^(5x-8)

(10^2)^(3-4x)>=[10^(-2)]^(5x-8)

10^[2*(3-4x)]>=10^[(-2)*(5x-8)]

10^(6-8x)>=10^(16-10x)

6-8x>=16-10x

2x>=10

x>=5

combine x<-1/2 and x>=5

, then x does not exist while 2x+1<0

so answer is - 1/2<x<=5

Answer:

alternate exterior angles

Step-by-step explanation:

a and h are on opposite sides of the transversal and they are outside the parallel lines.

Answer:

\(\huge\boxed{\sf x = 85}\)

Step-by-step explanation:

0.2x - 6 = 11

0.2x = 11 + 6

0.2x = 17

x = 17/0.2

\(\rule[225]{225}{2}\)

Given:-

\( \: \)

Solution:-

\( \: \)

\( \: \)

\( \: \)

\( \: \)

\( \: \)

\( \purple {━━━━━━━━━━━━━━━━━━━━━━━━━━━━}\)

hope it helps!

The dimensions that will result in a solid with maximum volume are approximately x = 12.02 centimeters and h = 5.01 centimeters.

Let the side of the square base be x, and let the height of the rectangular solid be h. Then, the surface area of the solid is given by:

Surface area = area of base + area of front + area of back + area of left + area of right

Surface area = x² + 2xh + 2xh + 2xh + 2xh = x² + 8xh

We are given that the surface area is 433.5 square centimeters, so we can write: x² + 8xh = 433.5

We want to find the dimensions that will result in a solid with maximum volume. The volume of the solid is given by:

Volume = area of base × height = x² × h

We can use the surface area equation to solve for h in terms of x:

x² + 8xh = 433.5

h = (433.5 - x²)/(8x)

Substituting this expression for h into the volume equation, we get:

Volume = x² × (433.5 - x²)/(8x) = (433.5x - x³)/8

To find the maximum volume, we need to find the value of x that maximizes this expression. To do this, we can take the derivative of the expression with respect to x, set it equal to zero, and solve for x:

d(Volume)/dx = (433.5 - 3x²)/8 = 0

433.5 - 3x² = 0

x² = 144.5

x = sqrt(144.5) ≈ 12.02

We can check that this is a maximum by computing the second derivative of the volume expression with respect to x:

d²(Volume)/dx² = -3x/4

At x = sqrt(144.5), this is negative, which means that the volume is maximized at x = sqrt(144.5).

Substituting x = sqrt(144.5) into the expression for h, we get:

h = (433.5 - (sqrt(144.5))²)/(8×sqrt(144.5))

h = 433.5/(8×sqrt(144.5)) - sqrt(144.5)/8

h = 5.01

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The dimensions of the rectangular solid that will result in a maximum volume are approximately.\(6.34 cm \times 9.03 cm \times 9.03 cm.\)

Let's assume that the length, width, and height of the rectangular solid are all equal to x, so the base of the solid is a square.

The surface area of the rectangular solid can be expressed as:

\(SA = 2xy + 2xz + 2yz\)

Substituting x for y and z, we get:

\(SA = 2x^2 + 4xy\)

We are given that the surface area is 433.5 square centimeters, so:

\(2x^2 + 4xy = 433.5\)

Simplifying, we get:

\(x^2 + 2xy - 216.75 = 0\)

Using the quadratic formula to solve for y, we get:

\(y = (-2x\± \sqrt (4x^2 + 4(216.75)))/2\)

\(y = -x \± \sqrt (x^2 + 216.75)\)

Since the base of the rectangular solid is a square, we know that y = z. So:

\(z = -x \± \sqrt(x^2 + 216.75)\)

The volume of the rectangular solid is given by:

\(V = x^2y\)

Substituting y for\(-x + \sqrt (x^2 + 216.75),\) we get:

\(V = x^2(-x + \sqrt(x^2 + 216.75))\)

Expanding and simplifying, we get:

\(V = -x^3 + x^2\sqrt(x^2 + 216.75)\)

The dimensions that will result in a solid with maximum volume, we need to find the value of x that maximizes the volume V.

We can do this by taking the derivative of V with respect to x, setting it equal to zero, and solving for x:

\(dV/dx = -3x^2 + 2x\sqrt(x^2 + 216.75) + x^2/(2\sqrt (x^2 + 216.75)) = 0\)

Multiplying both sides by \(2\sqrt (x^2 + 216.75)\) to eliminate the denominator, we get:

\(-6x^2\sqrt (x^2 + 216.75) + 4x(x^2 + 216.75) + x^3 = 0\)

Simplifying, we get:

\(x^3 - 6x^2\sqrt (x^2 + 216.75) + 4x(x^2 + 216.75) = 0\)

We can solve this equation numerically using a graphing calculator or computer software.

\(The solution is approximately x = 6.34 centimeters.\)

Substituting x = 6.34 into the expression for y and z, we get:

\(y = z \approx 9.03 centimeters\)

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Answer: -1/2

Step-by-step explanation:

See attached

Vertex: (-2,1)

Maximum or Minimum: The graph has minimum point and gives minimum value because the minimum point gives the least y-value. That's why it is called minimum.

End of behavior:

When x approaches positive infinity, f(x) will approach positive infinity.

When x approaches negative infinity, f(x) will approach positive infinity as well.

Why no solution:

The graph doesn't intercept any x-axis. Therefore the graph doesn't have any solutions.

y-intercept: (0,5)

describe shape of the graph:

The graph decreases when x<0 and increases when x>0.

x<0 is concave up but decreasing

x>0 is concave up but increasing

Answer:

10,000

Hope I helped :)

Answer:

10,000

Step-by-step explanation:

As you see, it says of what number, which means:

43% × ? = 4,300 =>

? =

4,300 ÷ 43% =

4,300 ÷ (43 ÷ 100) =

(100 × 4,300) ÷ 43 =

430,000 ÷ 43 =

Therefore, that number is 10,000.

Yes, it does have a circuit. This is because a connected graph with nine vertices and twelve edges is guaranteed to have at least one circuit.

A circuit is a path that starts and ends at the same vertex while visiting all other vertices exactly once. A connected graph with n vertices and 2n edges is guaranteed to have at least one circuit. This is because each edge in the graph contributes to two paths (one in each direction), and the total number of paths must be equal to the number of edges. Since a graph with nine vertices and twelve edges has more edges than vertices, it is guaranteed to have at least one circuit. Therefore, the graph does indeed have a circuit.

The complete question is : a connected graph has nine vertices and twelve edges. does it have a circuit? why or why not? the graph has a circuit because a connected graph with n vertices and 2n edges is guaranteed to have at least one circuit.

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Answer:

hay 75 por ciento de color amarillo

Answer:

2x+1         (2,7)        

Step-by-step explanation:

y=mx+b

Answer:

Add 8 and 8 and then add 5and 5 and get answer 16

Step-by-step explanation:

Answer:

81

Step-by-step explanation:

The general form of such a model that predicts the volume of sales (Y) as a function of advertising (X) in which sales increase as advertising increases, but at a decreasing rate is given by  Y^ = b0 + b1X + b2X². Option C.

The general form of the model that fits the description of the sales model that is given in the problem is C. Y^ = b0 + b1X + b2X². Where Y^ represents the predicted or estimated value of Y. b0, b1, and b2 are the coefficients of the model, and they represent the intercept, the slope, and the curvature of the relationship between X and Y, respectively.

In this model, the variable X has a quadratic relationship with the variable Y because of the presence of the squared term X². This indicates that the effect of X on Y is not linear but curvilinear, which means that the effect of X on Y changes as X increases. Specifically, the effect of X on Y increases initially but then levels off or diminishes as X becomes larger. Answer option C.

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The 98% confidence interval for the true mean age of players in this league

(27.152, 30.548)

To find the 98% confidence interval for the true mean age of players in this baseball league using Excel, follow these steps:

1. Enter the age data in a column, for example, from A1 to A41.
2. Calculate the sample mean using the formula "=AVERAGE(A1:A41)" in any empty cell.
3. Calculate the standard error using the formula "=(2.1/SQRT(COUNT(A1:A41))" in another empty cell.
4. Find the critical value (z-score) for a 98% confidence interval using the formula "=NORM.S.INV(1-(1-0.98)/2)" in another empty cell.
5. Calculate the margin of error using the formula "z_score * standard_error" in another empty cell.
6. Find the lower confidence limit using the formula "=sample_mean - margin_of_error" in another empty cell.
7. Find the upper confidence interval limit using the formula "= sample mean + margin of error" in another empty cell.

After following these steps, you should have the lower and upper limits of the 98% confidence interval. Round the results to three decimal places and use ascending order.

Your answer:(27.152, 30.548)

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Answer:

The formula to calculate the total surface area of a cylinder is expressed as, total surface area of cylinder = 2πr(r + h). This total surface area includes the area of the 2 bases (2πr2) and the curved surface area (2πrh). Here 'r' is the radius and 'h' is the height of the cylinder.

Step-by-step explanation:

Answer:

-5(y+7)

Step-by-step explanation:

Well, the numbers you can divide 5 with are 1 and 5.

35 divides both with 1 and 5 too, but since 5 is the greatest, you choose 5.

so,

you divide both with -5, since both are negative.

-5y/-5 = y

-35/-5 = 7

so,

-5(y+7)

check:

-5*y = -5y

-5*7 = -35

so,

-5y-35, that's true.

Answer:

GCF = 5

Step-by-step explanation:

for the values 5, 35

Solution by Factorization:

The factors of 5 are: 1, 5

The factors of 35 are: 1, 5, 7, 35

Then the greatest common factor is 5.

Answer:

x = 6

y = -1

Step-by-step explanation:

We have to use substitution for the system of equations.

x = -6y

4x + 10y = 14

Because we know that [x = -6y], we can get rid of the x value by substituting y into the equation, [4x + 10y = 14].

4 x -6y + 10y = 14

Simplify.

-24y + 10y = 14

-14y = 14

Divide both sides by -14.

-14y = 14

÷-14   ÷-14

y = -1

From y, we can also find out the x value, as [x = -6y].

We now know that y = -1.

Therefore, we have to substitute again.

x = -6y

y = -1

x = -6 x -1

x = 6

Hence, x = 6 and y = -1.

Sorry it took so long to answer.

The meaning of the point (1,10) on the graph of the function is given as follows:

10 gallons of gas in the tank after one hour.

All the points in the graph of a function have the format presented as follows:

(x,y).

In which:

For this problem, the input and output variables are given as follows:

Hence the interpretation of point (1,10) is that there are 10 gallons of gas in the tank after one hour.

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Based on the amount left in the account and the interest rate, the amount in the account after 20 years is $1,296.38.

You need to convert the interest from an annual interest rate to a quarterly one.

= 1.3% / 4

= 0.325%

= 20 years x 4

= 80 quarters

= Amount x ( 1 + rate) ^ number of periods

= 1,000 x ( 1 + 0.325%)⁸⁰

= $1,296.38

In conclusion, the account would have $1,296.38.

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Answer:

-3

Step-by-step explanation:

g(1) = -3x² + x - 1

      = -3(\(1^{2}\)) + 1 -1

      = -3(1) + 1 - 1

      = -3 +1 -1

g(1) = -3

Just put the 1 everywhere you see an x.

Solve

A random sample taken with replacement from the original sample, and having the same size as the original sample, is known as a "bootstrap sample" or "bootstrap replication."

Bootstrapping is a resampling technique used to estimate the sampling distribution of a statistic. When we have a limited sample size and want to draw inferences about the population, we can use bootstrapping to create multiple resamples by randomly selecting observations from the original sample with replacement.

Here's how it works:

The key idea behind bootstrapping is that the original sample serves as a proxy for the population, and by repeatedly resampling from it, we can approximate the sampling distribution of the statistic of interest. This approach is especially useful when the underlying population distribution is unknown or non-normal.

By using a bootstrap sample that is the same size as the original sample, we maintain the same sample size and capture the variability present in the original data.

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total money she has is 32 $

now after buying she has left only with 20$

so she spent 32 - 20 = 12 $

she spent 12 $ for buying 9 packs of noisemaker,

9 Pack cost = 12 $

1 pack cost = 12 / 9

= 4/3 = 1.3333 $

so cost of each pack of noise is 1.33 $

Answer:

36.5 Km

Step-by-step explanation:

6.75 *4 +9.5

27 +9.5 = 36.5

The number of kilometers that he has to run will be 16.25 kilometers.

Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.

Adam runs 6.75 kilometers every day for 4 days. On the fifth day, he runs 9.5 kilometers.

The number of kilometers that he has to run will be given by the summation. Then we have

⇒ 6.75 + 9.5

⇒ 16.25 kilometers

The number of kilometers that he has to run will be 16.25 kilometers.

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Answer:

x = 9

Step-by-step explanation:

The perimeter of the first triangle is x + 3 + x + 3 + x + 3 = 3x + 9 and the perimeter of the second triangle is x + 3 + 2x - 3 + x = 4x. We know that the perimeters are equal, therefore, we can write the following equation:

3x + 9 = 4x

x = 9