Help, this is proportional relationships.

The probability that the test results are correct, and that this student is not overstressed is mathematically given as

3.08%

This is further explained below.

Generally,

Let A: student is overstressed

B: The test is positive. Given

\(P(\bar{B} / \bar{A})=0.95, P(B / A)\\P(\bar{B} / \bar{A}) =0.85, P(A)\\P(\bar{B} / \bar{A})=0.995, \\\)

\(P\left(\frac{\text { correctresult }}{\text { Test negative }})=P(\bar{A} / \bar{B}) \\\\ =\frac{P(\bar{A} \cap \bar{B})}{P(\bar{B})} \\\\ =\frac{P(\bar{A} \cap \bar{B})}{P(\bar{A} \cap \bar{B})+P(A \cap \bar{B})}\right.\)

\(=\frac{P(\bar{B} / \bar{A}) P(\bar{A})}{P(\bar{B} / \bar{A}) P(\bar{A})+P(\bar{B} / \bar{A}) P(A)} \\\\=\frac{0.95 \times 0.005}{0.95 \times 0.005+0.15 \times 0.995} \\\)

=0.0308

=3.08%

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The inequality x ≥ 10 represents the relationship where the blue team needs to advance the ball at least 10 yards to score any points.

The inequality that represents the relationship for the blue team needing to advance the ball at least 10 yards to score any points can be expressed as:x ≥ 10

In this inequality, x represents the number of yards the blue team needs to advance the ball. The "≥" symbol indicates "greater than or equal to," meaning that the blue team must advance the ball by at least 10 yards to score any points.

If the blue team advances the ball exactly 10 yards, the inequality is satisfied because it meets the minimum requirement. If the blue team advances the ball by more than 10 yards, the inequality is still satisfied.

However, if the blue team advances the ball by less than 10 yards, the inequality is not satisfied, and they will not score any points.

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Answer:

Step-by-step explanation:

These three graphs have a greater rate of change than the equation y=1/2 x+3.

What is equation?

An equation is an expression that states the equality of two things using mathematical symbols. It is a statement of balance between two elements, usually represented by numbers or variables. Equations are used to solve problems in many fields, including biology, chemistry, physics, engineering, and economics. Equations can be written in a variety of ways, such as linear, quadratic, and polynomial equations, and each type has a unique set of properties. Equations are useful for understanding the relationships between different variables and for predicting outcomes.

Graphs A, D, and F all have a greater rate of change than y=1/2 x+3.

Graph A has a slope of 2, which is double that of y=1/2 x+3 (1).

Graph D has a slope of 4, which is quadruple that of y=1/2 x+3 (1).

Finally, Graph F has a slope of 6, which is six times that of y=1/2 x+3 (1).

Therefore, these three graphs have a greater rate of change than the equation y=1/2 x+3.

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The given functions ψ = 2xy and φ = x^2 - y^2 satisfy the conditions for continuity and irrotational flow.

To show continuity, we need to verify that the partial derivatives of ψ and φ with respect to x and y are equal. Let's calculate these partial derivatives:

∂ψ/∂x = 2y

∂ψ/∂y = 2x

∂φ/∂x = 2x

∂φ/∂y = -2y

From the above calculations, we can see that the partial derivatives of ψ and φ with respect to x and y are equal. Therefore, the condition for continuity, which requires the equality of partial derivatives, is satisfied.

To show irrotational flow, we need to verify that the curl of the velocity vector is zero. The velocity vector can be obtained from the stream function ψ and velocity potential φ as follows:

V = ∇φ x ∇ψ

Taking the curl of V:

∇ x V = ∇ x (∇φ x ∇ψ)

Using vector calculus identities and simplifying the expression, we find:

∇ x V = 0

Since the curl of the velocity vector is zero, the condition for irrotational flow is satisfied.

Therefore, based on the calculations and verifications, we can conclude that the given functions ψ = 2xy and φ = x^2 - y^2 satisfy the conditions for continuity and irrotational flow.

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Answer: 15,480 pigeons

Step-by-step explanation:

Facts

currently 8,600

increases by 10% per year

8 years= ?

Step 1 - find 10% of 8600

10% of 8600= 860

Step 2 - Find 8 years

860x8= 6880 more pigeons

Step 3: Find the total

8600+6880= 15,480

Answer:

it's actually 18,435 I just got the answer

Step-by-step explanation:

Answer:

Elena incorrectly used the slant height instead of the height.

Step-by-step explanation:

Answer:

its b

Step-by-step explanation:

i got it right

The expression for the probability density function of the Weibull distribution will be: f(x) = k * x^(k-1) * e^(-x^k)

The expression for the probability density function (pdf) of a Weibull distribution is given by:

f(x) = k * x^(k-1) * e^(-x^k)

where:

x is the random variable

k is the shape parameter, which determines the shape of the distribution

e is the base of the natural logarithm

The shape parameter can take on any positive value, and the distribution is typically characterized by a shape that is either increasing or decreasing, depending on the value of k.

If the value of the k is less than 1, the distribution has a decreasing hazard rate, indicating that the failure rate decreases over time.

If the value of the k is greater than 1, the distribution has an increasing hazard rate, indicating that the failure rate increases over time.

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Answer: 17/18

Step-by-step explanation:

4 1/4 is equall to 17/4.

4 1/2 is 9/2.

We can flip 9/2 to get 2/9*17/4.

That simplifies to 17/18.

Answer: B

Hope you do well!

The probability that a computer will not crash in a period of 4 months is 0.632.There is a 75% chance that the computer will not crash in a period of 4 months.

To solve this problem stepwise, first calculate the probability that the computer will crash in a given month. This can be done by using the Poisson distribution. The probability that the computer will crash in a given month is 0.0333.

Next, calculate the probability that the computer will not crash in a given month. This is simply 1 - 0.0333, or 0.9667.

Now, to calculate the probability that the computer will not crash in a period of 4 months, simply take the probability of not crashing in a given month and raise it to the 4th power. This gives us a probability of 0.632.

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The difference would be $61.60 in favor of the daily compounded scenario.

Compound interest is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods.

To calculate the difference between the two scenarios you have provided:

$1,000 compounded daily at 5% for 8 years would earn $1,472.11

$1,000 compounded semiannually at 5% for 8 years would earn $1,410.51

Hence, the difference would be $61.60 in favor of the daily compounded scenario.

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The Laplace domain equation X(s) is found to be X(s) = (s + 2)/(s^2 + 5s + 6). The time domain equation x(t) can be obtained by applying the inverse Laplace transform to X(s), resulting in x(t) = e^(-t) - e^(-2t).

Given the Laplace domain equation X(s), we need to substitute the given parameters and find its expression in terms of s. The equation provided is X(s) = (s + 2)/(s^2 + 5s + 6).

To obtain the time domain equation x(t), we need to apply the inverse Laplace transform to X(s). The inverse Laplace transform of X(s) will give us x(t) in terms of t.

Applying the inverse Laplace transform to X(s) involves finding the inverse transform of each term separately. The inverse Laplace transform of (s + 2) is simply 1, representing the unit step function. The inverse Laplace transform of (s^2 + 5s + 6) is e^(-t) - e^(-2t), which can be obtained through partial fraction decomposition.

Therefore, the time domain equation x(t) is given by x(t) = e^(-t) - e^(-2t), where t represents time.

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Two students using the same piece of glassware may not have the exact same measurement.

While the same glassware provides a consistent measuring tool, variations in the students' measurement techniques, environmental conditions, and inherent limitations of the glassware can lead to differences in the obtained measurements.

Factors such as parallax errors, variations in reading techniques, and differences in the precision of the measuring instrument can all contribute to variations in measurements.

Additionally, small imperfections in the glassware, such as scratches or irregularities, can affect the accuracy of the measurement. These imperfections may cause slight variations in the volume or capacity being measured.

To minimize discrepancies, it is important for students to follow proper measurement techniques, ensure accurate calibration of the glassware, and consider potential sources of error.

By adhering to standardized procedures and using precise measurement techniques, students can aim to obtain measurements that are as consistent and reliable as possible.

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Not mutually exclusive

Events A and B are not mutually exclusive since some numbers in the set (70, 71, 72...79) can be both a multiple of 2 and 3. However, they are independent since the outcome of event A (selecting a multiple of 2) is not affected by the outcome of event B (selecting a multiple of 3) and vice versa.

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Answer:

1.) (x - 13)(x - 8)

2.) x(x - 11)(x + 13)

3.) (x - 2)(x - 4)(2x + 1)

4.) (3x + 2)(3x - 1)

5.) (x - 4)(3x + 13)

Step-by-step explanation:

1.) (x² - 13x - 9x + 117) + (x - 13)

2.) x(x² + x - 132) + x(x - 11)

= x(x + 12)(x - 11) + x(x - 11)

= x(x - 11)(x + 13)

3.) (2x³ - 12x² + 16x) + (x -2)(x -4)

= 2x(x² - 6x + 8) + (x -2)(x - 4)

= 2x(x² - 4x - 2x + 8) + (x -2)(x -4)

4.) 9x² - 4 + (3x + 2)

= (3x)² -2² + (3x + 2)

= (3x + 2)(3x - 2) + (3x + 2)

5.) (3x² - 48) + (x - 4)

= 3(x - 4)(x + 4) + (x - 4)

The first game brought in more money than the last game.

Any number of equal parts is represented by a fraction, which also symbolizes a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many pieces of a particular size there are when spoken in everyday English.

According to question:

The baseball team made more money at their first game because 6/7 is less than 1. This means that they made less money at their last game than at their first game. For example, if they made $100 at their first game, then they made 6/7 x $100 = $85.71 at their last game, which is less than $100.

Therefore, the first game brought in more money than the last game.

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The relation is

Answer:

20/4 = 5ml

Step-by-step explanation:

Given:

Angle A = 18.6°

Angle B = 93°

Length of side AB = 646 meters

To find:

the distance across the river, distance between BC

Steps:

Since we know the measure of 2 angles of a triangle we can find the measure of the third angle.

18.6° + 93° + ∠C = 180°

        111.6° + ∠C = 180°

                    ∠C = 180° - 111.6°

                    ∠C = 68.4°

Therefore the measure of angle C is 68.4°.

now we can use the law of Sines,

\(\frac{BC}{sinA}=\frac{AB}{SinC}\)

\(\frac{BC}{sin(18.6)}= \frac{646}{sin(68.4)}\)

\(BC[sin(68.4)] = 646 [sin(18.6)]\)

\(BC = \frac{646*sin(18.6)}{sin(68.4)}\)

\(BC = \frac{646 * 0.3190}{0.9298}\)

\(BC = 221.63\)

\(BC = 222\) meters

Therefore, the distance across the river is 222 meters.

Happy to help :)

If anyone need more help, feel free to ask

There are 7 desserts that have both yogurt and fruit. Therefore, the answer to your question is 7.

To find out how many of the desserts with yogurt also include fruit, we need to use the concept of intersection in set theory. We can create two sets: one for desserts with yogurt and another for desserts with fruit.

The set of desserts with yogurt has 8 elements, and the set of desserts with fruit has 7 elements. We can represent these sets as follows:

Y = {yogurt desserts} = {1, 2, 3, 4, 5, 6, 7, 8}
F = {fruit desserts} = {1, 2, 3, 4, 5, 6, 7}

Now we need to find the intersection of these sets, i.e., the desserts that have both yogurt and fruit. To do this, we can count the number of elements in the set Y ∩ F:

Y ∩ F = {yogurt and fruit desserts} = {1, 2, 3, 4, 5, 6, 7}

So there are 7 desserts that have both yogurt and fruit. Therefore, the answer to your question is 7.

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Answer:

A = 28

Step-by-step explanation:

Using the cofunction identity

cos x° = sin(90 - x)°

with x = 3A , then

90 - 3A = A - 22 ( add 3A  to both sides )

90 = 4A - 22 ( add 22 to both sides )

112 = 4A ( divide both sides by 4 )

A = 28

Answer:

54

Step-by-step explanation:

Answer:

Its a

Step-by-step explanation:

Answer:

56.3 cubic units

Step-by-step explanation:

5x3x3.75

=56.3

Hope this helps

Answer:  The independant variable is the type of tennis ball.  The dependent variable is how high the ball bounces.

Step-by-step explanation:

Answer:

∠ 3 = 60°

Step-by-step explanation:

∠ 1 and ∠ 2 are same- side interior angles and sum to 180° , then

4x + 36 + 3x - 3 = 180

7x + 33 = 180 ( subtract 33 from both sides )

7x = 147 ( divide both sides by 7 )

x = 21

Then

∠ 2 = 3x - 3 = 3(21) - 3 = 63 - 3 = 60°

∠ 2 and ∠ 3 are alternate angles and are congruent, so

∠ 3 = 60°

Answer:

60°

3(21)- 3 = 60

Step-by-step explanation:

4x+36 + 3x-3 = 180

x = 21

To obtain a 40% antifreeze solution from 2 quarts of a 10% antifreeze solution, you need to calculate how much pure antifreeze should be added.

Step 1: Determine the amount of antifreeze in the initial solution:
2 quarts x 10% = 0.2 quarts of pure antifreeze

Step 2: Calculate the total volume of the final solution:
2 quarts (initial solution) + x quarts (pure antifreeze) = 40% (0.4) * (2 quarts + x quarts) (final solution)
2 + x = 0.4 * (2 + x)

Step 3: Solve the equation for x:
2 + x = 0.8 + 0.4x
0.6x = 0.8 - 2
0.6x = -1.2
x = -1.2 / 0.6
x = -2

To obtain a 40% antifreeze solution, you would need to add -2 quarts of pure antifreeze. However, it is not possible to add a negative amount of liquid, so there is no solution in this case. Please note that negative amounts of liquid do not make sense in this context, so a short answer would be that it is not possible to obtain a 40% antifreeze solution by adding pure antifreeze to a 10% antifreeze solution.

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Answer:

-2 is warmer the -5 degrees

Answer:

-2 Celsius

Step-by-step explanation:

The negative degrees in Celsius work the same way as Fahrenheit

The closer the number is to 0 the warmer the temperature is... -2 is closer to 0 than -5