8 1/6 - 3 5/6


subtracting/regrouping fractions

Answer:

The critical value of F for this situation is 2.975.

Step-by-step explanation:

A test is being performed to determine if a particular drug, smartozine, affects maze learning in rats.

The groups are divided as follows:

So, there were in total k = 4 groups with n = 30 rats.

The significance level of the test is, α = 0.05.

Compute the critical value of F as follows:

\(F_{\alpha, (k-1, n-k)}=F_{0.05, (4-1, 30-4)}=F_{0.05, (3,26)}=2.975\)

*Use the F-table.

Thus, the critical value of F for this situation is 2.975.

The critical value of F for this situation has been 2.975.

The F value has been the statistical factor that has been used for the determination of the significance of the test.

The high F value has been the representation of the rejected null hypothesis, while the low  F value represents the accepted hypothesis. The study that has been performed with the rats has:

Number of groups of rats = k = 4

Total number of rats = n = 30

The 0.05 significance test has been performed, thus the value of α has been 0.05.

The value of F can be given as:

Critical value = \(\rm F_\alpha_\;_,(_k_-_1,_n_-_k_)\)

Substituting the values:

Critical value = \(\rm F_0._0_5,_(_4_-_1,_3_0_-_4_)\)

Critical value = 2.975

Thus, the critical value of F for this situation has been 2.975.

For more information about the F value, refer to the link:

https://brainly.com/question/11566053

Answer:

Step-by-step explanation:

The loop will run an infinite number of times

Answer:

$1551 needed to cover the costs and 141 shirts will be sold.

Step-by-step explanation:

If a shirt costs $10 and the council is selling the shirt for $1 more ($11), after selling 141 shirts, they would have made a profit of $1*141=$141. Since there is also a setup fee of $141, the profit would actually be $0. This is when the costs are covered.

C = 10s + 141 (C is cost and s in no. of shirts sold)

s = 141

C = 141*10 + 141 = 1551

Hope this helps!

The balanced reaction equation is as follows-

V₂O₅ + 5CaS → 5CaO + V₂S₅.

A  balanced equation is an equation for a chemical reaction in which the number of atoms for each element in the reaction and the total charge are the same for both the reactants and the products. In other words, the mass and the charge are balanced on both sides of the reaction.

In that case,

we have the balanced reaction equation as; V₂O₅ + 5CaS → 5CaO + V₂S₅.

An atom is a particle of matter that uniquely defines a chemical element. An atom consists of a central nucleus that is surrounded by one or more negatively charged electrons.

Learn more about balanced reaction equation here:-

https://brainly.com/question/29764227

#SPJ4

Statement is true because the corresponding sides are congruent. The answer is: BA = LN.

What is Triangle?

A triangle is a closed, two-dimensional shape with three straight sides and three angles. It is one of the basic shapes in geometry and is used in many areas of mathematics, science, and engineering.

Since triangle ABC and triangle LMN have congruent corresponding sides, we know that they are similar triangles. This means that their corresponding angles are also congruent.

We are given that angle BAC is 58 degrees and angle MLN is 78 degrees. Since corresponding angles are congruent, this means that angle BAC is congruent to angle MLN.

Therefore, triangle ABC and triangle LMN are similar triangles with two pairs of corresponding congruent angles. This means that all corresponding sides are proportional.

Since AC = LN and BA = ML, we know that the ratio of the lengths of corresponding sides is:

AC / LN = BA / ML

Substituting the given values, we get:

1 = 1

This statement is true because the corresponding sides are congruent.

Therefore, the answer is: BA = LN.

Learn more about Triangle

https://brainly.com/question/17335144

#SPJ1

Answer:

The correct anser is B. (i think. sorry if wrong) have a wonderfull day. dont let them bring you down. your amazing just the way you are.

Step-by-step explanation:

Step-by-step explanation:

\blue{\large \rightarrow }\: \boxed{ \sf{ \frac{1}{v} + \frac{1}{u} = \frac{1}{f} }}

Answer:

If you don't agree or there's an error, let me know so I can edit.

Step-by-step explanation:

f(x) = x⁴ + 2

differentiate

f(x) = 4x³ + 0 =0

x(4x²) = 0

at x= 0 f(x) = 0 points = (0,0)

at x= 1. f(x) = 3 points = (4,3)......

The ordered pair is (4,3).

An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate), having two values written in a fixed order within parentheses. It helps to locate a point on the Cartesian plane for better visual comprehension. The numeric values in an ordered pair can be integers or fractions.

Given:

f(x) = x⁴ + 2

Now, differentiate the above function for the small values

f(x) = 4x³ + 0 =0

x(4x²) = 0

When x= 0

f(x) = 0

So, the points = (0,0)

when x= 1

f(x) = 3

so, the points = (4,3).

Learn more about ordered pair here:

https://brainly.com/question/23922144

#SPJ2

Answer:

$111.56

Step-by-step explanation:

125% × 89.25 = 111.5625

Answer:

There are $\boxed{3}$ paths from $A$ to $B.$

Answer:

=34

Step-by-step explanation:

4x+12x-6=4(4x+7) ur question

using BODMAS

4x+12x-6=16x+28

16x-6=16x+28

16x-16x=28+6

0=34

but make sure your question is right, can you go through it again

In the context of 3D modelling, "the polygons that make up big surfaces" is the best description of a face.

A myriagon, sometimes known as a 10000-gon, is a polygon having 10,000 sides in geometry. The common myriagon has been used as an example by many philosophers to highlight flaws with thought.

You can think of a polygonal surface as one with polygonal faces. Every single polygon must be of the same kind (triangles, quadrilaterals or whatever). The user must ensure that all of the vertices of any polygons that are higher order than triangles lie in a plane.

To know more about polygons visit:-

https://brainly.com/question/24464711

#SPJ1

Answer:

x ≈ 12.182

Step-by-step explanation:

1 - 2lnx = - 4 ( subtract 1 from both sides )

- 2lnx = - 5 ( divide both sides by - 2 )

lnx = 2.5

x = \(e^{2.5}\) ≈ 12.182 ( to the nearest thousandth )

Answer:

x = 12.182  (nearest thousandth)

Step-by-step explanation:

Given equation:

\(1-2 \ln x=-4\)

Subtract 1 from both sides:

\(\implies 1-1 -2 \ln x =-4-1\)

\(\implies -2 \ln x=-5\)

Divide both sides by -2:

\(\implies \dfrac{-2 \ln x}{-2}=\dfrac{-5}{-2}\)

\(\implies \ln x = \dfrac{5}{2}\)

\(\textsf{As }\: \ln x=\log_ex \:\:\textsf{}\), the natural logarithm can be canceled by giving both sides a base of e (Euler's number):

\(\implies e^{\ln x}= e^{\frac{5}{2}\)

\(\implies x= e^{\frac{5}{2}\)

\(\implies x=12.182\:\: \sf (nearest\:thousandth)\)

Answer:

999,000

Step-by-step explanation:

We need to find the number that is one thousand (1,000) less than one million (1,000,000).

Answer:

999000

Step-by-step explanation:

1 million - 1000 or 1 million less is 100,000

According to Dr. Aguilera's findings, excessive levels of anxiety are associated with poor academic performance. Sleep duration, on the other hand, is unrelated to excellent or poor academic performance.

To learn more about the cohort effect, visit :

brainly.com/question/7580591

#SPJ4

Answer:

Step-by-step explanation:

We can help if you don't show the scatterplot.

Answer:

30=15

Step-by-step explanation:

30=40-30+6-4-27

30=10+2-27

40=12-27

30=-15

(a) The probability of zero arrivals during the next minute is approximately 0.2231. (b) The probability of z service times less than or equal to a given value can be calculated using the exponential distribution formula.

(a) The probability of zero arrivals during the next minute can be calculated using the Poisson distribution with a rate of 1.5 per minute. Plugging in the rate λ = 1.5 and the number of arrivals k = 0 into the Poisson probability formula, we get P(X = 0) = e^(-λ) * (λ^k) / k! = e^(-1.5) * (1.5^0) / 0! = e^(-1.5) ≈ 0.2231.

(b) In the second part of the problem, the employee serves each customer in 1 minute on average, and the service times follow an exponential distribution. The probability of z service times less than or equal to a given value can be calculated using the exponential distribution. We can use the formula P(X ≤ z) = 1 - e^(-λz), where λ is the rate parameter of the exponential distribution. In this case, since the average service time is 1 minute, λ = 1. Plugging in z into the formula, we can calculate the desired probability.

Note: Since the specific value of z is not provided in the problem, we cannot provide an exact probability without knowing the value of z.

To learn more about probability  click here

brainly.com/question/31828911

#SPJ11

The three conditions for a function to be continuous at a point x=a are:

a) The function is defined at x=a.

b) The limit of the function as x approaches a exists.

c) The limit of the function as x approaches a is equal to the value of the function at x=a.

The continuity of a function can be analyzed by observing its graph. However, as the graph is not provided, a specific discussion about its continuity cannot be made without further information. It is necessary to examine the behavior of the function around the point in question and determine if the three conditions for continuity are satisfied.

The function f(x) = { *** is not defined in the question. In order to discuss its continuity, the function needs to be provided or described. Without the specific form of the function, it is impossible to analyze its continuity. Different functions can exhibit different behaviors with respect to continuity, so additional information is required to determine whether or not the function is continuous at a particular point or interval.

Learn more about continuous function here: brainly.com/question/28228313

#SPJ11

Answer:

b = 4 - 2a

Step-by-step explanation:

2b = 8 - 4a

b = (8 - 4a) / 2

b = 4 - 2a

Answer:

b=4-2a

Step-by-step explanation:

4a+2b=8

2a+b=4

b=4-2a

The computer virus initially infects one file, then for every minute the number files gets tripled. So the first term will be 1, the second will be 3, the third will be 9 and so on. The sequence is:

This is a geometric sequence, where each term is related to its previous by the product of a constant number. For these cases we can represent the sequence as shown below:

To find how many files will be infected after 15 minutes we need to make n=15 and solve for a, we have:

To find the joint density function, we need to calculate the Jacobian determinant of the transformation from (x, y) to (u, v)

The joint distribution of (u, v), where u and v are defined as

\(u = \frac{x}{{\sqrt{x^2 + y^2}}}\)  and \(v = \frac{y}{{\sqrt{x^2 + y^2}}}\), is given by:

\(f_{U,V}(u,v) = \frac{1}{{2\pi}} \cdot e^{-\frac{1}{2}(u^2 + v^2)}\)

To find the joint density function, we need to calculate the Jacobian determinant of the transformation from (x, y) to (u, v):

\(J = \frac{{du}}{{dx}} \frac{{du}}{{dy}}\)

\(\frac{{dv}}{{dx}} \frac{{dv}}{{dy}}\)

Substituting u and v in terms of x and y, we can evaluate the partial derivatives:

\(\frac{{du}}{{dx}} &= \frac{{y}}{{(x^2 + y^2)^{3/2}}} \\\frac{{du}}{{dy}} &= -\frac{{x}}{{(x^2 + y^2)^{3/2}}} \\\frac{{dv}}{{dx}} &= -\frac{{x}}{{(x^2 + y^2)^{3/2}}} \\\frac{{dv}}{{dy}} &= \frac{{y}}{{(x^2 + y^2)^{3/2}}}\)

Therefore, the Jacobian determinant is:

\(J &= \frac{y}{{(x^2 + y^2)^{\frac{3}{2}}}} - \frac{x}{{(x^2 + y^2)^{\frac{3}{2}}}} \\&= -\frac{x}{{(x^2 + y^2)^{\frac{3}{2}}}} + \frac{y}{{(x^2 + y^2)^{\frac{3}{2}}}} \\J &= \frac{1}{{(x^2 + y^2)^{\frac{1}{2}}}}\)

Now, we can find the joint density function of (u, v) as follows:

\(f_{U,V}(u,v) &= f_{X,Y}(x,y) \cdot \left|\frac{{dx,dy}}{{du,dv}}\right| \\&= f_{X,Y}(x,y) / J \\&= f_{X,Y}(x,y) \cdot (x^2 + y^2)^{\frac{1}{2}}\)

Substituting the standard normal density function

\(f_{X,Y}(x,y) &= \frac{1}{2\pi} \cdot e^{-\frac{1}{2}(x^2 + y^2)} \\f_{U,V}(u,v) &= \frac{1}{2\pi} \cdot e^{-\frac{1}{2}(x^2 + y^2)} \cdot (x^2 + y^2)^{\frac{1}{2}} \\&= \frac{1}{2\pi} \cdot e^{-\frac{1}{2}(u^2 + v^2)}\)

Therefore, the joint distribution of (u, v) is given by:

\(f_{U,V}(u,v) &= \frac{1}{2\pi} \cdot \exp\left(-\frac{1}{2}(u^2 + v^2)\right)\)

Learn more about joint probability distributions:

https://brainly.com/question/32099581

#SPJ11

To find the joint density function, we need to calculate the Jacobian determinant of the transformation from (x, y) to (u, v)

The joint distribution of (u, v) is a bivariate normal distribution with mean (0,0) and variance-covariance matrix

\(\begin{bmatrix}2 & 0 \0 & 2\end{bmatrix}\)

The joint distribution of (u, v) can be found by transforming the independent random variables x and y using the following formulas:

\( u = x + y\)
\( v = x - y \)

To find the joint distribution of (u, v), we need to find the joint probability density function (pdf) of u and v.

Let's start by finding the Jacobian determinant of the transformation:

\(J = \frac{{\partial (x, y)}}{{\partial (u, v)}}\)

\(= \frac{{\partial x}}{{\partial u}} \cdot \frac{{\partial y}}{{\partial v}} - \frac{{\partial x}}{{\partial v}} \cdot \frac{{\partial y}}{{\partial u}}\)

\(= \left(\frac{1}{2}\right) \cdot \left(-\frac{1}{2}\right) - \left(\frac{1}{2}\right) \cdot \left(\frac{1}{2}\right)\)

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

Next, we need to express x and y in terms of u and v:

\(x = \frac{u + v}{2}\)

\(y = \frac{u - v}{2}\)

Now, we can find the joint pdf of u and v by substituting the expressions for x and y into the joint pdf of x and y:

\(f(u, v) = f(x, y) \cdot |J|\)

\(f(u, v) = \left(\frac{1}{\sqrt{2\pi}}\right) \cdot \exp\left(-\frac{x^2}{2}\right) \cdot \left(\frac{1}{\sqrt{2\pi}}\right) \cdot \exp\left(-\frac{y^2}{2}\right) \cdot \left|-\frac{1}{2}\right|\)

\(f(u, v) = \frac{1}{2\pi} \cdot \exp\left(-\frac{u^2 + v^2}{8}\right)\)

Therefore, the joint distribution of (u, v) is given by:

\(f(u, v) = \frac{1}{2\pi} \cdot \exp\left(-\frac{{u^2 + v^2}}{8}\right)\)

In summary, the joint distribution of (u, v) is a bivariate normal distribution with mean (0,0) and variance-covariance matrix

\(\begin{bmatrix}2 & 0 \0 & 2\end{bmatrix}\)

Learn more about joint probability distributions:

brainly.com/question/32099581

#SPJ11

The missing sides or angles that make the triangle ABC congruent to PDF by SAS are AC and PF, ∠A and ∠P and ∠B and ∠D

If all three corresponding sides and all three corresponding angles are equal for two triangles, they are said to be congruent. The corresponding sides and angles of two triangles must be equal for them to be considered congruent.

The triangles are congruent by AAS if two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle (angle angle side). Hence, the missing side or the angle that makes the triangle ABC  congruent to triangle PDF are as follows:AC ≅ PF∠A ≅ ∠P∠B ≅ ∠D

learn more on congruent triangle here:

brainly.com/question/22062407

#SPJ1

Answer: =12x+9y

Step-by-step explanation: Hope this help :D

Answer:

Number of goals is 12 and number of behinds is 9. 6×12=72 + 1×9=9 72+9=81

Answer:

log12 144 =  2

log15 1 =  0

log3 ( 81 ) =  4

log 0.00001 = -5

Step-by-step explanation:

According to my far to relaxed brain the answer is correct. Please don't be mad at me.

Answer:

Step-by-step explanation:

First and foremost, we need to point out that if there is no base written on those logs, it is understood to be a base of 10. The next thing applies to the rules of logs in regards to the subtraction of them. Usually, subtraction and addition "undo" each other. But in logs, subtraction and division undo each other in a sense. The rule is:

\(log_bm-log_bn=log_b\frac{m}{n}\)

Following that pattern, our solution, or simplification, of

log(3) - log(15) is

\(log_{10}\frac{3}{15}\) which, simplified and omitting the base of 10, is:

\(log\frac{1}{5}\) , choice C.

(a) The statement "if a and b are diagonalizable, so is ab" is true. If both matrices a and b are diagonalizable, it is written as a product of diagonal matrix D and invertible matrix P: a = PDP^(-1) and b = PEQ^(-1).

To show that ab is also diagonalizable, we can calculate ab as ab = (PDP^(-1))(PEQ^(-1)) = PDEQ^(-1).

Since both D and E are diagonal matrices, their product DE is also a diagonal matrix.

Therefore, we can write ab as ab = PFQ^(-1), where F = DE is a diagonal matrix.

This demonstrates that ab can be expressed as a product of a diagonal matrix F and an invertible matrix P, indicating that ab is diagonalizable.(b) The statement "if a and b are diagonalizable, so is ab" is false. A counterexample to this statement can be given by considering the matrices:

a = [[1, 0], [0, 1]]

b = [[0, 1], [0, 0]]

Both matrices a and b are diagonalizable since they are already diagonal matrices. However, their product ab = [[0, 1], [0, 0]] is not diagonalizable because it has a non-diagonal Jordan form. Hence, this counterexample disproves the statement.(c) The statement "if a^2 is diagonalizable, then a is diagonalizable" is true. If a^2 is diagonalizable, it means that it can be written as a product of diagonal matrix D and invertible matrix

P: a^2 = PDP^(-1).

To show that a is also diagonalizable, we can take square root of both sides of equation: a = (PDP^(-1))^(1/2). Since D is a diagonal matrix, taking the square root of D means taking the square root of each diagonal element. This operation yields a new diagonal matrix D^(1/2).Thus, we can express a as a = PD^(1/2)P^(-1), which shows that a can be written as a product of a diagonal matrix D^(1/2) and an invertible matrix P. Therefore, a is diagonalizable.

To learn more about matrices click here : brainly.com/question/30646566

#SPJ11

\(\Huge\color{pink}{{★ƛƝƧƜЄƦ ↦}}\)

\( \large \purple { \sf{ Points \: →}}\)

✯ To find→

✯ we know that area of circle

\( \boxed{ \sf{A=\pi {r}^{2} }} \\ \)

↬ 1st find the radius by

\( \sf {r = \cancel \frac{8}{2} } \\ \\ \sf{r = 4}\)

✯ Now solve according to formula →

\( \sf{↬A=3.14 \times {4}^{2}} \\ \sf{↬A =3.14 \times 16} \\ \sf {↬A = 50.24 {cm}^{2} }\)

\(\pink{\sf{\:мѕнαcкεя\: ♪...}}\)