what would be the value of the sum of squares due to regression (ssr) if the total sum of squares (sst) is 25.32 and the sum of squares due to error (sse) is 6.89? a. 19.32 b. 15.32 c. 18.43 d. 31.89

Answer: 10240 ounces

Answer:

35 4/10

Step-by-step explanation:

Answer:

36 4/10 or 36 2/5

Step-by-step explanation:

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The rate of change of the proportion y = 9x is 9.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

y = 4x  +2 is an equation.

x + 2x + 3 = 4 is an equation.

We have,

y = 9x

The rate of change of this equation can be calculated by finding its differentiation.

Now,

y = 9x

Differentiating with respect to x we get,

dy/dx = 9dx/dx

dy/dx = 9

Thus,

The rate of change of the proportion y = 9x is 9.

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The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. So the correct option is D.

Correlational method is a research technique used to explore the relationship between two or more variables. In this method, researchers collect data on the variables of interest and analyze their patterns of association. The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. This means that researchers are interested in exploring whether changes in one variable are associated with changes in another variable.

For instance, a researcher may be interested in exploring the relationship between stress and job performance. The researcher may collect data on the levels of stress and job performance in a sample of employees and then use statistical analysis to determine if there is a systematic relationship between the two variables. If the results show that higher levels of stress are associated with lower levels of job performance, then the researcher can conclude that there is a negative correlation between the two variables.

It is important to note that correlation does not imply causation. While a correlation between two variables indicates that they are related, it does not necessarily mean that changes in one variable are causing changes in the other variable. Therefore, researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.

Therefore, the fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way, and researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.

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The probability that exactly 5 black cars and exactly 10 non-black cars drive by in a particular afternoon is approximately 0.00167.

The probability that exactly 5 black cars and exactly 10 non-black cars drive by on a particular afternoon is

, where \($X_b$\) are the number of black cars and \($X_{nb}$\) the number of non-black cars passing by the playground in the afternoon. Since the color of the cars is independent of the number of cars that drive by, we can model the number of black and non-black cars using two separate Poisson distributions with means

\($\lambda_b = \frac{1}{5}\cdot25=5$ and $\lambda_{nb}=25-5=20$\), respectively.

Plugging in the values and simplifying, we get:

\($$P(X_b=5,X_{nb}=10)=\frac{e^{-5}5^{5}}{5!}\cdot\frac{e^{-20}20^{10}}{10!}\cdot\frac{1}{5^{5}}\cdot\frac{4^{10}}{5^{10}}\approx 0.00167$$\)

Therefore, the probability that exactly 5 black cars and exactly 10 non-black cars drive by in a particular afternoon is approximately 0.00167.

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Answer:

He added the exponents instead of multiplying them

Step-by-step explanation:

When a power is raised to a power (in this case, -8 was raised to the -2) the exponents should be multiplied, not added. So instead of j^-10 it should be j^16.

Answer:

x=0.2

hope this helps

have a good day :)

Step-by-step explanation:

π/16 is the area enclosed by the curve r= sin(4θ)

The given curve is polar curve and hence the area of the polar curve is given by:

Let A be the area of the curve so,

A = \(\int\limits^b_a {\frac{1}{2}r^2 } \, d\theta\)

where a and b is the boundary at which r=0

so after equation r=0

sin(4θ) =0

=> sin(4θ) =0

=> 4θ = 0,π

=> θ = 0, π/4

so a=0 , b= π/4

now  

  A =  \(\int\limits^b_a {\frac{1}{2}r^2 } \, d\theta\)   ------(i)

so   \(r^2\) = (sin(4θ))^2

=>   \(sin^2\)( 4θ )

ans we know that

cos(2α) = 1 -  \(2sin^2\)2 α

so     \(sin^2\)= (1- cos(8θ) )/2

putting the value of r in the equation (i) we get :-

A = \(\int\limits^b_a {\frac{1}{4} *(1-cos8\theta) } \, d\theta\)

=> 1/4*  \(\int\limits^b_a {(1-cos8\theta) } \, d\theta\)

here a=0 and b=π/4

after putting the value and solving the integral

A = π/16

so A is the area enclosed by r=sin(4θ) is π/16

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Answer:

1

Step-by-step explanation:

The slope can be found using the RISE/RUN equaton.

Looking at both graphs we see that they are parallel so that tells us that they have the same slope.

We can count how many boxes up and then how many boxes right this line goes to find the slope.

We also know that the slope is positive because the lines are increasing from left to right.

The expression which is equivalent to -10 is the option b, -3 - 7.

Explanation:

We can use subtraction and addition of integers to get the value of the given expression. We can write the given expression as;

-3 - 7 = -10 (-3 - 7)

The addition of two negative integers will always give a negative integer. When we subtract a larger negative integer from a smaller negative integer, we will get a negative integer.

If we add -3 and -7 we will get -10. This makes the option b the correct answer.

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Answer:

4J = 52

Step-by-step explanation:

If Jenny's height is J:

4J = 52

Answer:

The first pic is for 2x +3y = 12 and the second is for x=7

The required transformation of the function is 1 unit left and 5 unit down.

Given that,
To determine the transformation of the parent function y=|x|. y=|x-1|-5.

The graph is a demonstration of curves which gives the relationship between the x and y-axis.

Here,
The function y=|x| is an absolute function,
when we add 1 unit left and 5 unit down to the function, the function arises as y=|x-1|-5. It implies the transformation of function as -1 on the x-axis and -5 units on the y-axis.

Thus, the required transformation of the function is 1 unit left and 5 unit down.

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Answer:

2= 18.88        4=24.752 .    6=13.74713

Step-by-step explanation:

Rejecting the null hypothesis implies that we have evidence to support the alternative hypothesis, which suggests that there is a significant difference between the proportions of vaccinated and unvaccinated people who develop COVID-19.

However, if it turns out that the proportion of those who are vaccinated and develop COVID-19 is the same as the proportion of those who are not vaccinated and develop COVID-19 when the Moderna vaccine is distributed to the entire population, this would be an unexpected result, which means that our earlier decision to reject the null hypothesis was incorrect.

In hypothesis testing, we use the null hypothesis to make a decision about whether there is sufficient evidence to support the alternative hypothesis. In this case, the null hypothesis assumes that the proportion of vaccinated and unvaccinated people who develop COVID-19 is the same. We reject the null hypothesis when our test statistic is larger than the critical value, which means that the difference between the observed proportions is too large to be explained by chance alone.

However, if we later discover that the proportions are actually the same, this means that our initial rejection of the null hypothesis was incorrect. It's important to note that hypothesis testing does not prove that the alternative hypothesis is true, but rather, it provides evidence in favor of it. In this case, if we were to observe equal proportions of COVID-19 cases among vaccinated and unvaccinated individuals in the entire population, this would indicate that the Moderna vaccine is not effective in preventing COVID-19.

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9514 1404 393

Answer:

  C, B, D

Step-by-step explanation:

We can estimate the relative lengths of the segments using the difference of their coordinates:

  BC = (2-0, -5-6) = (2, -11)

  CD = (-8-2, -1-(-5)) = (-10, 4)

  DB = (0-(-8), 6-(-1)) = (8, 7)

Then the lengths of the segments will be ...

  BC = √(2^2 +11^2) = √125

  CD = √(10^2 +4^2) = √116

  DB = √(8^2 +7^2) = √113

DB is the shortest segment, so opposite the smallest angle, C.

The next-shortest segment is CD, opposite angle B.

The longest segment is BC, opposite angle D.

In order from least measure to greatest, the angles are C, B, D.

After factorising the given expression we have the factors:

a) = 3(x + 4m)

b) = 6h(h + 3a)

Expanding brackets in reverse is a process known as factorising. Fully factorising an expression entails putting it in brackets by eliminating the factors with the highest common denominator.

The easiest method of factoring is:

Factorisation:

a) 3x+12m

= 3(x + 4m)

b) 6h²+18ah​

6h(h + 3a)

Thus, After factorising the given expression we have the factors:

a) = 3(x + 4m)

b) = 6h(h + 3a)

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The logical expression that represents the statement "Despite the fact that it is sunny today, I will bring my umbrella" is (B) s∧m.

The logical expression that represents the statement "Despite the fact that it is sunny today, I will bring my umbrella" is (B) s∧m. This is because the conjunction "and" (∧) is used to connect two statements that must both be true in order for the overall statement to be true. In this case, both s (It is sunny today) and m (I will bring my umbrella) must be true in order for the statement to be true.

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(B) s∧m, which represents the logical expression for "Despite the fact that it is sunny today, I will bring my umbrella."


The logical operator ∧ (conjunction) connects two propositions and represents the idea of "and." Therefore, s∧m means "It is sunny today and I will bring my umbrella." This is the logical expression that represents the statement given in the question.


To summarize, the correct answer is (B) s∧m, which represents the logical expression for "Despite the fact that it is sunny today, I will bring my umbrella."
Main Answer: The correct logical expression is (B) s∧m.

In the given statement, "Despite the fact that it is sunny today, I will bring my umbrella," both propositions s (It is sunny today) and m (I will bring my umbrella) are true at the same time. The logical expression that represents this is s∧m, which means "s AND m" are both true.

The statement "Despite the fact that it is sunny today, I will bring my umbrella" is best represented by the logical expression (B) s∧m, as it shows that both s and m are true.

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Answer:

8. -385°, 335°

9. -30°, 330°

Step-by-step explanation:

8. θ = -25°

-25-360 = -385°

-25+360 = 335°

9. θ = -390°

-390+360 = -30°

-30+360 = 330°

Answer: The mean is 25.5, the mode is 22, and the median is 25.

Step-by-step explanation: When finding the mean, you add all the data together and then divide by the amount of data you have.  For example, all the values add up to 225.  Divide 225 with the 10 values above and you get 25.5.  To find the mode, you find the number that appears the most frequent.  In this case, 22 appears 3 times while all the others appear twice or once.  So, 22 is the mode.  When finding the median, you arrange all the data in increasing order.  For example, arranging the data would look like this, 22, 22, 22, 23, 23, 27, 27, 29, 30, and 30.  After you arrange the values, you find the middle number.  We have 10 values, so we need to pick out the two numbers that are in the middle, which are bolded up above.  Add those together and then divide the value by two, which is 25.  If we had 9 or 11 values, we'd only need to pick the one that is in the middle, since they're both odd numbers.

Hope this helps! :)

Answer:

The answer is D

Step-by-step explanation:

When the exponent is negative then you go in to decimals

Answer:

since its a negative number you need to to go to the decimals> therefore the answer would be (D)

Answer:

BC ≈ 19.4 cm

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos71° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{AB}{BC}\) = \(\frac{6.3}{BC}\) ( multiply both sides by BC )

BC × cos71° = 6.3 ( divide both sides by cos71° )

BC = \(\frac{6.3}{cos71}\) ≈ 19.4 cm ( to 3 significant figures )

To solve the given first-order linear differential equation du/dt = Pu with initial condition u(0)=[53​], we can apply the matrix exponential method. The solution to this equation is given by u(t) = e^(Pt)u(0), where e^(Pt) is the matrix exponential.

Given the projection matrix P = [21​21​​21​21​​], we can compute e^(Pt) and then multiply it by the initial condition u(0) = [53​].

Since part of u(0) increases exponentially while the nullspace part stays fixed, this indicates that one eigenvalue of P is positive, causing exponential growth, while the other eigenvalue is zero, keeping the nullspace part constant.

To solve the equation du/dt=Pu, where P is a projection, we can use the fact that P is idempotent (P^2=P) and hence diagonalizable. Let's denote the eigenvalues of P by λ_1 and λ_2, and the corresponding eigenvectors by v_1 and v_2, respectively. Since P is a projection, we have λ_1=1 and λ_2=0, and v_1 is the direction of the part of u that increases exponentially, while v_2 is the direction of the nullspace part of u that stays fixed.

Using the eigendecomposition of P, we can write u(t)=c_1e^λ_1tv_1+c_2e^λ_2tv_2=c_1e^t v_1+c_2v_2, where c_1 and c_2 are constants determined by the initial conditions. Specifically, we have u(0)=c_1v_1+c_2v_2=[5/3 1/3]^T, which implies c_1=(5/3)v_1^T[5/3 1/3]=(5/3), and c_2=[5/3 1/3]^Tv_2=(1/3).

Therefore, the solution of the differential equation is u(t)=(5/3)e^t v_1+(1/3)v_2, which means that the part of u in the direction of v_1 increases exponentially with a rate of e^t, while the part of u in the direction of v_2 stays fixed. This is consistent with the given initial condition that part of u increases exponentially while the nullspace part stays fixed.

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Answer :                                                                                                              500,000                                                                                                                       450,000                                                                                                                        453,000                                                                                                                                       452,900                                                                                                                                         452,910                                                                                                                                                                                                                                                                                step-by-step explanation:

look to the right one digit of the place they are asking to round . if it is either greater than or equal to5, then you round up the place they want. if it is not, then it says the same. then all he number to right of it becomes 0s.

The curl of the vector field F(x,y,z) = (xy?, -x?y, xyz) over the surface S, bounded by the curve C, is some value.

To evaluate the curl of F over the surface S, we can use Stokes' theorem. The theorem states that the circulation of a vector field around a closed curve C is equal to the flux of the curl of the vector field through any surface S bounded by C. In this case, the surface S is defined by z = \(4 – x^2 - y^2\) above the xy-plane.

To calculate the curl of F, we take the partial derivatives of the vector components with respect to x, y, and z. After computing these derivatives, we find that the curl of F is a vector with components some expressions.

Next, we find the outward unit normal vector n to the surface S, which is (0, 0, 1) in this case since the surface is oriented upward. We then calculate the dot product of the curl of F and n over the surface S. Integrating this dot product over S gives us the flux of the curl of F through S.

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Answer:

$13.41

Step-by-step explanation:

1 year = 5.5%

1/4 year = 5.5/4%

1/4 year = 1.375%

975 * 1.01375 (because percents become fractions by dividing by 100) = 988.41

988.41 - 975 (because you're looking for the interest not what's his final amount) = 13.41

The correct ranking of the spheres according to the magnitude of the electric field they produce at point P (greatest first) is: 1 > 2 > 3. The answer is option C.

Since all three spheres have the same charge Q and radius, the magnitude of the electric field at point P due to each sphere is proportional to 1/d^2, where d is the distance between the center of the sphere and point P. Therefore, the sphere closest to point P will produce the greatest electric field at that point.

Assuming that the three spheres are arranged in a straight line with sphere 1 being the closest to point P and sphere 3 being the farthest, we can rank the spheres according to the magnitude of the electric field they produce at point P as follows:

Sphere 1 produces the greatest electric field at point P since it is the closest to it.

Sphere 2 produces the second greatest electric field at point P since it is farther away from point P than sphere 1 but closer than sphere 3.

Sphere 3 produces the smallest electric field at point P since it is the farthest from it.

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Answer:

75ft

Step-by-step explanation: angles