4/15 divided by 1 1/3 + 0.4

The standard error serves as a yardstick to determine whether the observed difference between sample means can be attributed to a) chance.

The standard error is a measure of the variability or spread of the sample means around the true population mean. It quantifies the average amount of error we can expect between the sample mean and the population mean. It reflects the inherent variability in sampling and provides an estimate of how much the sample means can vary due to random chance.

Therefore, the standard error helps us determine whether the observed difference between sample means is likely to occur by chance alone. It does not directly provide information about the underlying population, the sampling distribution, or the research hypothesis. Those factors are typically examined through other statistical tests and analyses.

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Answer:

Center ( 4 , -2) and r = 6

Step-by-step explanation:

x² - 8x + y² + 4y - 16 = 0

x² - 8x  + y² + 4 y = 16

x²- 2*4x + y² + 2 *2y = 16

(x² - 2*4x + 16 ) - 16 + (y² + 2*2y + 4) -4 = 16

(x - 4)² + (y + 2)² = 16 + 16 + 4

(x - 4)² + (y -[-2])² = 36

(x- 4)² + ( y - [-2] )² = 6²

Compare with (x - h)²+ (y - k)² = r²

Center ( 4 , -2) and r = 6

Six times a number plus five is equal to seventeen.

Five added to the product of six and a number is seventeen.

The statement "Because in a randomized controlled trial (RCT), the assignment is random, therefore there is no coverage bias---by definition" g is false because, it is important to consider both randomization and other factors when assessing the potential for bias in an RCT.

Random assignment in an RCT can help to reduce selection bias, but it does not guarantee the absence of coverage bias.

Coverage bias can occur if the participants who are enrolled in the trial do not represent the population to which the results will be generalized.

For example, if the trial only includes participants who are healthier or more compliant than the typical patient, the results may not be applicable to the broader population.

Therefore, it is important to consider both randomization and other factors when assessing the potential for bias in an RCT.

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The partial derivatives ∂z/∂x and ∂z/∂y for the equation x^2 + 2y^2 + 3z^2 = 1 are:

∂z/∂x = -x / (3z)

∂z/∂y = -2y / (3z)

To find the partial derivatives ∂z/∂x and ∂z/∂y using implicit differentiation, we differentiate both sides of the equation with respect to x and y, respectively, treating z as a function of x and y.

Given equation: x^2 + 2y^2 + 3z^2 = 1

Taking the partial derivative with respect to x (∂/∂x) on both sides:

2x + 6z (∂z/∂x) = 0

Simplifying, we get:

2x + 6z (∂z/∂x) = 0

Rearranging, we can solve for ∂z/∂x:

∂z/∂x = -2x / (6z)

∂z/∂x = -x / (3z)

Next, we take the partial derivative with respect to y (∂/∂y) on both sides:

4y + 6z (∂z/∂y) = 0

Simplifying, we get:

4y + 6z (∂z/∂y) = 0

Rearranging, we can solve for ∂z/∂y:

∂z/∂y = -4y / (6z)

∂z/∂y = -2y / (3z)

Therefore, the partial derivatives ∂z/∂x and ∂z/∂y for the equation x^2 + 2y^2 + 3z^2 = 1 are:

∂z/∂x = -x / (3z)

∂z/∂y = -2y / (3z)

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Answer:  \(\frac{28}{27}\) or \(1\frac{1}{27}\)

Step-by-step explanation:

\(\frac{7}{9} /\frac{6}{8} = \frac{7}{9}(\frac{8}{6})\)

\(\frac{7}{9} (\frac{8}{6} ) = \frac{28}{27}\)

\(\frac{28}{27} = 1 \frac{1}{27}\)

Answer:

1) 6

2) 9

3) improper.

Step-by-step explanation:

I hope this helps!

Answer:

Q2) 9

explanation:6/1 / 2/3

Applying the fractions formula for division,

6 x 3

1 x 2

18/2 simplyfy 9

Q3)improper fraction

Answer: b

Step-by-step explanation:

The measure of angle p in this problem is given as follows:

m < p = 58º.

p is combined with an angle of a right triangle of sides 5 and 6, hence we consider that:

The trigonometric ratios for a right triangle are given as follows:

Then the measure of the internal angle ip is calculated as follows:

tan(ip) = 5/8

ip = arctan(5/8)

ip = 32.

Then the measure of angle p is calculated as follows:

32 + m<p = 90

m < p = 58º.

The problem is given by the image shown at the end of the answer.

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Answer:

Step-by-step explanation:

To prove that lim x → 0 x^4 cos(2/x)=0, we need to show that for any ε > 0, there exists a δ > 0 such that |x^4 cos(2/x)| < ε whenever 0 < |x| < δ.

First, we note that -1 <= cos(2/x) <= 1 for all x. Therefore, we have:

x^4 <= x^4 cos(2/x) <= x^4 for all x

Taking the limit as x approaches 0 of both sides, we get:

lim x â 0 x^4 <= lim x â 0 x^4 cos(2/x) <= lim x â 0 x^4

Using the fact that lim x â 0 x^4 = 0, we can conclude that:

0 <= lim x â 0 x^4 cos(2/x) <= 0

Thus, by the squeeze theorem, we have:

lim x â 0 x^4 cos(2/x) = 0

Therefore, we have shown that lim x â 0 x^4 cos(2/x) = 0.

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Answer:

no solution

Step-by-step explanation:

5n + 1 = 5n - 1 ( subtract 1 from both sides )

5n = 5n - 2 ( subtract 5n from both sides )

0 = - 2 ← not possible

this indicates that the equation has no solution

Answer:

5 / 37

Step-by-step explanation:

Solution:-

- An archer stall game was played to receive a prize to pierce an arrow through a polka dot balloon.

- There are three types of balloons clustered together. The distribution of each balloon is given as such:

                 Type                        Number

                 Solid                             15

                 Striped                          17

                 Polka Dot                      5

- The probability of an arrow piercing through a polka dot balloon can be determined from the basic definition of probability of an event.

- Define event ( A ) : The number of Polka dots balloon popped

- Then, the probability of event ( A ) would be defined as:

    p ( A ) =  [ Number of polka dots balloons available ] / [ Total balloons ]

- We have 5 polka dots balloons among the cluster. The cluster comprises of balloons of all types with their specific distribution as expressed above. Hence:

                  p ( A ) = [ 5 ] / [ 15 + 17 + 5 ]

                  p ( A ) = [ 5 ] / [ 37 ]

- The probabbility that an arrow pops a polka dot balloon is 5 / 37.

Note: If we are given more than 1 arrow or multiple tries, then we must remember that the probability of event ( A ) changes after every popped balloon ( irrespective of type ). Hence, the probability of popping polka dot balloon is dependent event over number of trials. Except if you miss an arrow and none of the balloons is popped, only then the p ( A ) remains same for the next trial.

The expression is (3+4=5) Or (3+4≥5). The expression is false. The expression as (3+4=7) or(3+4>5). The number 7 is true.

Given that,

The expression is (3+4=5) Or (3+4≥5).

We have find the value and the expression is true or false.

The expression is false

3+4=5

7=5

The number 7 is not equal to 5.

Now

3+4≥5

7≥5

The number 7 is not equal to 5 but it is greater then 5.

So, we can write the expression as (3+4=7) or(3+4>5)

Therefore, The number 7 is not equal to 5 or The number 7 is not equal to 5 but it is greater then 5. The expression as (3+4=7) or(3+4>5).

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Answer: \(y-1=\frac{1}{3} (x-6)\)

Point slope form is: \(y-y_{1} = m (x-x_{1} )\), where m=slope and y1 & x1 is the point given. So plug the slope 1/3 and point (6,1) into the spots to make it into point slope form.

The true statement about the number 2^(-3) is that it is equal to 0.125, not -8

I'm sorry, but the statement "2-^3 is equal to -8" is not true. The correct calculation for 2 raised to the power of -3 is as follows:

2^(-3) = 1 / (2^3) = 1 / 8 = 0.125

The exponent of -3 signifies that we are calculating the reciprocal or inverse of the base number raised to the power of 3. In this case, the base number is 2, and raising it to the power of -3 results in the reciprocal, which is 1/8 or 0.125.

It's important to note that negative exponents indicate the use of fractions or decimals in the calculations. In this context, the negative exponent signifies the inverse or reciprocal of the base number raised to a positive exponent.

Therefore, the true statement about the number 2^(-3) is that it is equal to 0.125, not -8.

It's crucial to understand the concept of exponentiation and the rules associated with it. Negative exponents have specific meanings and should be handled correctly to avoid mathematical errors or misunderstandings.

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Answer:

no yes no yes

Step-by-step explanation:

Im pretty sure thats correct

Answer:

no yes yes no

Step-by-step explanation:

hope this help;)

The normal approximation to the binomial distribution also implies that the sampling distribution of p is roughly bell-shaped, as the normal distribution is. Therefore, the answer is A) The shape.

The sampling distribution of the proportion is the distribution of all possible values of the sample proportion that can be calculated from all possible samples of a certain size taken from a particular population in statistical theory. The state of the examining dispersion of p is generally chime molded, as it is an illustration of a binomial conveyance with enormous n and moderate p.

The example size (n=900) is sufficiently enormous to legitimize utilizing an ordinary guess to the binomial dissemination, as indicated by as far as possible hypothesis. In order for the binomial distribution to be roughly normal, a sample size of at least 30 must be present, which is achieved.

Subsequently, the examining dispersion of p can be thought to be around ordinary with a mean of 0.532 and a standard deviation of roughly 0.0185 (involving the equation for the standard deviation of a binomial distribution).The typical estimate to the binomial dissemination likewise infers that the inspecting conveyance of p is generally chime molded, as the ordinary circulation is. As a result, A) The shape is the response.

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Answer:

c. 13

Step-by-step explanation:

\(c=\sqrt{a^{2}+b^{2}} = \sqrt{12^{2}+4^{2}}\) ≈ \(12.64911\) ≈ \(13\)

Any graph that has a horizontal line at a period stays constant for a while.

In all cases, the function is moving right. If the function is moving right but the vertical axis remains constant, forming an horizontal line, the function is constant for that period.

Hence the graph in this problem shows that the height stays constant for a while because it has a horizontal line.

(the problem is incomplete as the graph is not given, but the explanation for a constant function is always this).

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To find:

Round the monetary amount to the nearest dollar $41.69

Solution:

The number after the decimal is greater than 50. So, the amount rounded off to the nearest dollar is $42.

Thus, the answer is $42.

Answer:

To overcome such type of real world problems we use union. Unlike structures union occupies single memory location to store all its members. So, unions are helpful when you want to store value in single member from a set of members. Size of union is defined according to size of largest member data type.

Step-by-step explanation:

In union, all members share the same memory location. For example in the following C program, both x and y share the same location. If we change x, we can see the changes being reflected in y. #include <stdio.h> // Declaration of union is same as structures.

The value of y is ± (3√6/2) when x =2

To find the value of y when x = 2, we can use the given differential equation and initial condition.

Given: dy/dx = (x³ + 1)/y

Let's solve the differential equation using the separation of variables:

Separating the variables, we have:

y dy = (x³ + 1) dx

Integrating both sides, we get:

∫ y dy = ∫ (x³ + 1) dx

Integrating the left side:

(1/2) y² = (1/4) x⁴ + x + C

Now, using the initial condition y = 2 when x = 1, we can solve for C:

(1/2) (2²) = (1/4) (1)⁴ + 1 + C

2 = 1/4 + 1 + C

2 = 5/4 + C

C = 2 - 5/4

C = 3/4

Substituting the value of C back into the equation:

(1/2) y² = (1/4) x⁴ + x + 3/4

Multiplying both sides by 2 to eliminate the fraction:

y² = (1/2) x⁴ + 2x + 3/2

Now, we can substitute x = 2 into the equation to find y:

y² = (1/2) (2)⁴ + 2(2) + 3/2

y² = 8 + 4 + 3/2

y² = 27/2

y = ± (3√6/2)

Therefore, The value of y is ± (3√6/2) when x =2

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Answer:

j+1

Step-by-step explanation:

j/k + 1/k = ?/k

Since the denominator is the same, we can add the numerators

j/k + 1/k = ?/k

(j+1)/k = ?/k

The hypotenuse of the right triangle measures 3 units.

Here we know that both legs measure:

\(L =\frac{3}{\sqrt{2} }\)

If we use the Pythagorean theorem, we will see that the hypotenuse H can be written as:

\(H^2 = (\frac{3}{\sqrt{2} } )^2 + (\frac{3}{\sqrt{2} } )^2 \\\\H^2 = \frac{9}{2} + \frac{9}{2} = \frac{18}{2} = 9\\\\H = \sqrt{9} = 3\)

Then we conclude that the hypotenuse of the right triangle measures 9 units.

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Answer:

\(\frac{1}{2}\)

Step-by-step explanation:

\(\tan \left(30^{\circ \:}\right)=\frac{\sqrt{3}}{3}\)

\(\quad \sin \left(60^{\circ \:}\right)=\frac{\sqrt{3}}{2}\)

\(=\frac{\sqrt{3}}{3}\times \frac{\sqrt{3}}{2}\)

\(=\frac{3}{6}\)

\(=\frac{1}{2}\)

Answer:

\(1/2\)

Step-by-step explanation:

Tan 30 = \(\frac{\sqrt{3} }{3}\)

Sin 60 = \(\frac{\sqrt{3} }{2}\)

Multiply the 2 roots you get my answer 1/2

The row of the table that reveals the x-intercept of the function f is given as follows:

Second row.

A function has two intercepts, which are listed as follows:

The definition of each type of intercept is given as follows:

From the second row of the table, we have that when x = -4, f(x) = 0, hence the x-intercept of the function is of x = -4.

The y-intercept is of y = -16, as from the fourth row, when x = 0, y assumes a value of 16.

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