Solve for m.
5m - 2p = 4
m=

The interval that contains 95.44 percent of the sample means is between 5.1642 inches and 5.2358 inches

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean  and standard deviation , the zscore of a measure X is given by:

Z = X-u/σ

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean  and standard deviation , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean u  and standard deviation s=σ/\(\sqrt{n}\)

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

u= 5.2 ,σ = 0.08 , n= 20 s= 0.0179

Find the interval that contains 95.44 percent of the sample means.

0.5 - (0.9544/2) = 0.0228

Pvalue of 0.0228 when Z = -2.

0.5 + (0.9544/2) = 0.9772

Pvalue of 0.9772 when Z = 2.

So the interval is from X when Z = -2 to X when Z = 2

Z = 2

Z= X-u/σ

By the central Limit Theorem

Z= X-u/s

X= 5.2358

Z = -2

then

X= 5.1642

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Rounded to three decimal places, P(female pathology) is approximately 0.025.

To find P(female pathology), we need to divide the number of female doctors in the pathology specialty by the total number of doctors.

From the given data, we have:

Number of female doctors in pathology: 6,620

Total number of doctors: 106,164 + 12,551 + 62,888 + 49,541 + 30,471 = 261,615

P(female pathology) = (Number of female doctors in pathology) / (Total number of doctors)

P(female pathology) = 6,620 / 261,615 ≈ 0.025

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the area of triangle $AMN$ is 8 square cm.

To find the area of triangle $AMN$, we need to determine the lengths of its base and height.

In square $ABCD$ with side length 4 cm, $N$ is the midpoint of side $BC$, so $BN = NC = \frac{1}{2} \cdot 4 = 2$ cm.

Similarly, $M$ is the midpoint of side $CD$, so $CM = MD = \frac{1}{2} \cdot 4 = 2$ cm.

Now, we can see that $AM$ is the height of triangle $AMN$ and has a length of 4 cm, as it is parallel to side $AD$ of the square.

$AN$ is the base of triangle $AMN$ and has a length of $BN + CM = 2 + 2 = 4$ cm.

Therefore, the area of triangle $AMN$ is given by:

$A_{AMN} = \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 4 \times 4 = 8$ square cm.

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Answer:

19 + 2c

Step-by-step explanation:

19 is increasing two times Chau's height, (c), which gives you 19 plus twice c, (2c).

To test the hypothesis that the mean weight of two sheets is equal (μ1 - μ2) against the alternative that it is not, and assuming equal variances, we can use a two-sample t-test. The t-statistic can be calculated using the following formula:

t = (x1 - x2) / (s_p * sqrt(1/n1 + 1/n2))

where:

x1 and x2 are the sample means of the two sheets,

s_p is the pooled standard deviation,

n1 and n2 are the sample sizes.

The pooled standard deviation (s_p) can be calculated using the following formula:

s_p = sqrt(((n1 - 1) * s1^2 + (n2 - 1) * s2^2) / (n1 + n2 - 2))

where:

s1 and s2 are the sample standard deviations.

To calculate the t-statistic, we need the sample means, sample standard deviations, and sample sizes.

Once you provide the specific values for these variables, I can assist you in calculating the t-statistic to 3 decimal places.

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To test the hypothesis that the mean weight of the two sheets is equal (μ1 - μ2) against the alternative that it is not, we can use a paired t-test assuming equal variances. The paired t-test is used when we have paired data or measurements on the same subjects or objects.

The t-statistic for a paired t-test is calculated as follows:

t = (X1 - X2) / (s / √n)

where X1 and X2 are the sample means of the two samples, s is the pooled standard deviation, and n is the number of pairs.

Please provide the sample means, standard deviation, and sample size for each sheet so that we can calculate the t-statistic to 3 decimal places.

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In the context of spaceflight, the LVLH frame (Local Vertical/Local Horizontal) is often used as the reference frame for describing the attitude of a spacecraft.

The body frame, on the other hand, is the reference frame fixed to the spacecraft itself. The transformation between these frames is critical for performing operations such as attitude control or maneuver planning.In order to transform between the LVLH frame and the body frame, either Euler angles or quaternions are typically used. Euler angles are a set of three angles that describe a sequence of rotations around the principal axes of the reference frame. Quaternions are a set of four numbers that can be used to describe an orientation in three dimensions. Both methods have their advantages and disadvantages depending on the specific application at hand.To write a function in MATLAB for this transformation, the specific equations for the transformation must first be derived. Once these equations are known, they can be implemented in a function that takes as input the desired transformation and outputs the resulting attitude of the spacecraft. The function can then be tested and verified using simulation or experimental data to ensure that it is functioning correctly.

In conclusion, the transformation between the LVLH frame and the body frame is a critical operation for spacecraft attitude control and maneuver planning. Both Euler angles and quaternions can be used for this transformation, and the specific method chosen will depend on the application at hand. To implement this transformation in MATLAB, the equations must first be derived and then implemented in a function that can be tested and verified.

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Recall that the domain of a function is the set of numbers to which the function is defined. That is, if you replace the value of the independant variable (normally represented as x), then the function will give another number as a result.

In this case, we are given the function 400+13x. Since x is the independant variable, to determine the domain we must think on what possible values the variable x can take. Since in this case x represents the number of products made, it is impossible that it takes negative values, since in real life you can't produce negative amounts of products.

So far, we know that x should be greater or equal to zero. Once again, in this context, it doesn't make sense that, for example, x=7.8, since this would mean that 7.8 number of products were made. Since x represents the number of products made, it can only take values as x=0,x=1, x=2, x=3 and so on.

This set receives the name of whole numbers.

Answer:

B -15

Step-by-step explanation:

Answer:

-15

Step-by-step explanation:

she has -15

Answer: contingency leadership

Step-by-step explanation:

When the cosine of an angle (0) is 3/5 and the angle lies in quadrant 4, the exact value of the sine of that angle is -4/5.

To find the exact value of sin(0), we can utilize the Pythagorean identity, which states that \(sin^2(x) + cos^2(x) = 1,\) where x is an angle in a right triangle. Since the terminal side of the angle (0) is in quadrant 4, we know that the cosine value will be positive, and the sine value will be negative.

Given that cos(0) = 3/5, we can determine the value of sin(0) using the Pythagorean identity as follows:

\(sin^2(0) + cos^2(0) = 1\\sin^2(0) + (3/5)^2 = 1\\sin^2(0) + 9/25 = 1\\sin^2(0) = 1 - 9/25\\sin^2(0) = 25/25 - 9/25\\sin^2(0) = 16/25\)

Taking the square root of both sides to find sin(0), we have:

sin(0) = ±√(16/25)

Since the terminal side of (0) is in quadrant 4, the y-coordinate, which represents sin(0), will be negative. Therefore, we can conclude:

sin(0) = -√(16/25)

Simplifying further, we get:

sin(0) = -4/5

Hence, the exact value of sin(0) when cos(0) = 3/5 and the terminal side of (0) is in quadrant 4 is -4/5.

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Note the correct and the complete question is

Q- Find the exact value of sin(0) when cos(0) =3/5 and the terminal side of (0) is in quadrant 4​ ?

When he is halfway to the first base, the distance between the second base and the distance is decreasing at the rate of about 10.73 ft/s.

The length of the side of the base is 90 ft. Its speed is 24 ft/s.

Let x = distance he has run at time t and

D = distance from second base at time t, then speed dx/dt = 24 and we calculate dD/dt where x = 45.

From Pythagorean Theorem,

\(D^{2} =(90-x)^{2} +90^{2}\) ,

differentiating with respect to t

2D*dD/dt = 2 (90 − x) (−1) dx/dt + 0

D*dD/dt = − (90 − x)dx/dt

Now, when x = 45,

D =\(\sqrt{(90-45)^{2}+90^{2} }\)

\(=\sqrt{45^{2}+90^{2} }\)

by substituting D we get,

\(\sqrt{45^{2}+90^{2} }\)dD/dt = − (90 − 45) · 24

dD/dt = −45 · 24/\(\sqrt{45^{2}+90^{2} }\)

= −10.73 ft/s

Hence, when he is halfway to the first base, the distance between the second base and the distance is decreasing at the rate of about 10.73 ft/s.

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Answer:

first one: y = 5x+5

second: y = -4x -4

Step-by-step explanation:

to find slope intercept, you need 2 things:

Slope

Y intercept

Slope is rise/run (as taught in elementary school) and the y intercept is the place where the line intersects the Y axis

To find the Y axis, replace X with 0

Y = (slope)x + (y intercept)

Y = (5-0)/(0-(-1))x + (y intercept)

Y = 5x + (y intercept)

If you look at the graph, at X = 0, Y= 5

Therefore, Y=5x+5

Answer:

Since the number line is in increments of 3 you have to move it four lines past 0.

Step-by-step explanation:

The number line is done in increments of 3.

In conclusion, the expected running time for generating random numbers p and g can be expressed as a function of m and t as follows:

\(O((1/(m ln(2))) * (m^3t)) = O(m^2t/ln(2))\)

The expected time for generating the prime number p depends on the probability of q being prime and the number of iterations required to find a Sophie Germain prime. Since q is an m-bit integer, the probability of q being prime is approximately \(1/ln(2^m) = 1/(m ln(2)).\)

The cost of performing Miller-Rabin primality testing on a composite number N is O(\(m^3t\)) time, as stated in the problem. Therefore, the expected time to find a prime q is proportional to the number of iterations required, which is 1/(m ln(2)).

Finding a primitive element g within the range 1 ≤ g ≤ p-1 involves randomly selecting integers and checking if they satisfy the condition. Since this step is independent of the primality testing, its time complexity is not affected by the value of t. Therefore, the expected time to find a primitive element g is not directly influenced by t.

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The hypotenuse AB is approximately 3.8 units long.

A right-angle triangle is a particular kind of triangle with a single angle that is precisely 90 degrees (a right angle). The intersection of the triangle's two shorter sides creates this angle. The hypotenuse is the side that forms the right angle; the legs are the other two sides.

A fundamental rule that applies to right-angle triangles is the Pythagorean theorem. It claims that the square of the hypotenuse is equal to the sum of the squares of the two shorter sides (legs) of a right-angle triangle. In other words, the hypotenuse's length, C, is equal to the sum of the lengths of the legs, A and B.

In numerous disciplines, including mathematics, physics, engineering, and others, right-angle triangles are frequently employed. They are a key component in many geometric designs and can be utilized to address issues involving distances, heights, and angles.

Right-angle triangles' unique characteristics also make them helpful in real-world contexts, such as construction, where they can be used to precisely measure angles and distances, and navigation, where they may be used to determine the distances between two places using trigonometric functions.

sin(BAC) = opposite / hypotenuse

In this case, the opposite side is x and the hypotenuse is the length of the side opposite the right angle, which is AC. To find AC, we can use the Pythagorean theorem:

\(AC^2 = AB^2 + BC^2AC^2 = x^2 + 4^2AC^2 = x^2 + 16AC = \sqrt{(x^2 + 16)}\)

Now we can use the sine ratio:

sin(BAC) = opposite / hypotenuse

\(sin(40) = \frac{x}{ \sqrt{(x^2 + 16)}}\)

To solve for x, we can cross-multiply and square both sides:

\(sin^2(40) = \frac{x^2}{(x^2 + 16)}x^2 + 16 = \frac{x^2}{ sin^2(40)}x^2 = \frac{16}{ (1 / sin^2(40) - 1)}x = \sqrt{\frac{16}{ (1 / sin^2(40) - 1)}\)

Using a calculator, we can find that x ≈ 3.8 (rounded to the nearest tenth). Therefore, AB is approximately 3.8 units long.

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The magnitude of ab -> is 7.28 units and the direction is 111.8°.

To find the magnitude and direction of ab ->, we first need to find the components of the vector ab ->. The components can be found by subtracting the coordinates of a from the coordinates of b.

So, the x-component of ab -> is (-2) - (-4) = 2 and the y-component of ab -> is 13 - 6 = 7.

The magnitude of ab -> can be found using the Pythagorean theorem:

|ab ->| = sqrt((2)^2 + (7)^2) = 7.28 units (rounded to two decimal places).

The direction of ab -> can be found using trigonometry.

tan(theta) = (y-component of ab ->) / (x-component of ab ->) = 7/2

theta = arctan(7/2) = 111.8° (rounded to one decimal place)

Therefore, the magnitude of ab -> is 7.28 units and the direction is 111.8°.

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Answer:chicken

Step-by-step explanation:

Put the chicken in the oven turn to 450 degrees let it sit for 4-5 hours

True, the difference between the actual observed value and the predicted value (by the regression model) is called the residual.

Regression analysis is a group of statistical procedures used in statistical modelling to determine the relationships between a dependent variable (often referred to as the "outcome" or "response" variable, or a "label" in machine learning jargon), and one or more independent variables (often referred to as "predictors," "covariates," "explanatory variables," or "features"). In linear regression, the most typical type of regression analysis, the line (or a more complicated linear combination) that most closely matches the data in terms of a given mathematical criterion is found.

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Answer:

9

Step-by-step explanation:

We can see that 6 is 2 more than 3, and so the difference is -3^2, 9.

We can check this by seeing that -3^6 is -729 and -3^4 is -81.

We have

                        -729 / -81 = 9.

Answer: 9

Step-by-step explanation:

True. Nonsampling errors refer to errors that occur during the data collection process that are not related to the sampling method used. These errors can occur in any type of data collection method, whether it be through surveys, experiments, or observational studies.

Nonsampling errors can arise due to a variety of reasons, such as poor survey design, biased sampling methods, inadequate training of surveyors, errors in data entry or processing, or even deliberate fraud.

Nonsampling errors can have a significant impact on the quality of the data collected, as they can introduce biases and inaccuracies into the results. These errors can result in incorrect conclusions and decisions based on the data, which can have serious consequences. Therefore, it is important to take steps to minimize nonsampling errors during the data collection process, such as carefully designing surveys, ensuring proper training of surveyors, and conducting thorough quality checks on the data collected.

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Answer:

A

Step-by-step explanation:

if x=19, 19x3 =57 and 57+123=180 and straight angle = 180 so A

Answer:

X=19

Step-by-step explanation:

123 and 3x are supplementary/they equal 180 added together.

Let's solve your equation step-by-step.

123+3x=180

Step 1: Simplify both sides of the equation.

3x+123=180

Step 2: Subtract 123 from both sides.

3x+123−123=180−123

3x=57

Step 3: Divide both sides by 3.

3x/3 = 57/3

x=19

Have a splendid day.

PS. I like your bakugo profile picture.

Answer:

1

Step-by-step explanation:

because if you do 1 1/2 - 1/2 = 1

Answer:

\(mode = l _{1} + ( \frac{d _{1} }{d _{1} + d _{2}} ) \times c \\ \\ = 6.5 + (\frac{50}{50 + 88} ) \times 3 \\ = 7.59\)

(2,-4), (-2, 3), (-3, 4), (-5, 0) is the transformation for the coordinates of the vertices of the given pairs of quadrilaterals.

In order to represent a quadrilateral visually, four line segments' ends are connected to form a closed geometric object. Each intersection point of every two line segments of a quadrilateral is referred to as a quadrilateral vertex because the ends of the four line segments cross at four separate places.

Triangle area equals 2 1

[x 1 (y 2 y 3 )+x 2 (y 3 y 1 )+x 3 (y 1 y 2 )]

Quadrilateral ABCD's area is equal to the sum of its sides, ACD and ABC.

(2,-4), (-2, 3), (-3, 4), (-5, 0) is the transformation for the coordinates of the vertices of the given pairs of quadrilaterals.

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When two numbers appear side by side, the number and number should be written together for clarity. The statement is true.

The term numeric expression consists of two words, number for a number and expression for a sentence. Therefore, it is a word containing numbers. Teaching mathematics is the combination of numbers and mixed numbers using mathematical operations such as addition, subtraction, division, or division. There are many number expressions such as word form and number form. Numerical expressions are mathematical expressions that contain only numbers and one or more operators.

Examples of symbol operations are addition, subtraction, multiplication, and division. It can be represented by a radical symbol (square root symbol) or a real value.

Equations consist of numbers and contain multiple digits. There is no limit to the number of operators a shared account can have. Some numbers use only one operator of the two numbers, while others may have more than one operator. The only requirement for a numeric expression is that it only contains a number and an operator. Some numbers have only one operator code others have two or more.

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Given:

In a parallelogram \(PRTV, VQ\perp PR,VS\perp RT\).

To prove:

\(\dfrac{PQ}{ST}=\dfrac{PV}{VT}\)

Solution:

It is given that \(VQ\perp PR,VS\perp RT\), it means \(\angle PQV\) and \(\angle TSV\) are right angle triangles.

In triangle PQV and triangle TSV,

\(\angle PQV\cong \angle TSV\)         (Right angles)

\(\angle QPV\cong \angle STV\)         (Opposite angles of a parallelogram)

Two corresponding angles are congruent. So, by AA property of similarity, we get

\(\Delta PQV\sim \Delta TSV\)

We know that the corresponding parts of similar triangles are proportional. So,

\(\dfrac{PQ}{TS}=\dfrac{PV}{TV}\)

It can be rewritten as:

\(\dfrac{PQ}{ST}=\dfrac{PV}{VT}\)

Hence proved.

There are no values of $b$ for which the base-$b$-representation of $2013$ ends in the digit $3$. For a number to end in the digit $3$ in base-$b$ representation, it must be congruent to $3$ modulo $b$.

We can rewrite $2013$ as $2 \cdot 10^3 + 0 \cdot 10^2 + 1 \cdot 10^1 + 3 \cdot 10^0$. Now, if $2013$ is congruent to $3$ modulo $b$, it means that $2 \cdot 10^3 + 0 \cdot 10^2 + 1 \cdot 10^1 + 3 \cdot 10^0$ is also congruent to $3$ modulo $b$.

Simplifying the expression, we have $2000 + 0 + 10 + 3$. Since the base-$b$-representation is formed by multiplying each digit by the corresponding power of $b$, we can rewrite the expression as $2 \cdot b^3 + 1 \cdot b^1 + 3 \cdot b^0$. We can now observe that the constant term $3 \cdot b^0$ will always be congruent to $3$ modulo $b$. However, the other terms $2 \cdot b^3$ and $1 \cdot b^1$ will not be congruent to $3$ modulo $b$ for any positive value of $b$. Therefore, the base-$b$-representation of $2013$ cannot end in the digit $3$ for any value of $b$.

Hence, there are no values of $b$ for which the base-$b$-representation of $2013$ ends in the digit $3$.

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