What is the product (−4)(7)(−2)

A 5-gallon container of water weighs approximately 41.7 pounds (18.9 kilograms). This is because water has a density of 1 kilogram per liter or 8.34 pounds per gallon. Therefore, a 5-gallon container holds 18.9 liters of water, which weighs 18.9 kilograms or 41.7 pounds.

A gallon of water is equivalent to 8.34 pounds of water. So 5-gallon of water is equivalent to

= 5 * 8.34

= 41.70

A gallon of water is equivalent to 3.78 litres of water. So 5-gallon of water is equivalent to

= 5 * 3.78

= 18.90

A litre of water is equivalent to 1 kilogram of water. So 18.90 litres of water is equivalent to

= 18.90 * 1

= 18.90

To know more on gallon

https://brainly.com/question/1462470

#SPJ4

The triangle with sides 40m, 50m, 60m is not a right angled triangle .

Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.

Pythagoras' theorem :

\(Hypotenuses ^{2} = Perpendicular^{2} + Base^{2}\)

According to the question

Sides of triangle are 40m, 50m, 60m

As hypotenuses is the largest side

Applying Pythagoras' theorem

\(Hypotenuses ^{2} = Perpendicular^{2} + Base^{2}\)

\(60 ^{2} = 40^{2} + 50^{2}\)

3600 ≠ 1600 + 2500  

3600 ≠ 4100

Hence, The triangle with sides 40m, 50m, 60m is not a right angled triangle ,

To know more about Pythagoras' theorem here:

https://brainly.com/question/343682

#SPJ2

Answer:

They are

Step-by-step explanation:

AA congruency theorem

AA is angle angle

The picture gives (( so that measns that (( and (( are congruent angles. The same with the (, it. is congruent to the other (.

Answer:

from 2 to 1 , there is a 50 percent change (decrease)

Answer:

my cat is very very fat ( true fact )

The equation that represents a nonlinear function is x(y – 5) = 2

Nonlinear functions are functions that do not have a uniform slope.

A linear function is represented as:

y = mx + b

This means that all other forms are nonlinear function.

From the list of given options, x(y – 5) = 2 is a nonlinear function

Read more about nonlinear functions at:

https://brainly.com/question/1418397

#SPJ4

Answer:

A

Step-by-step explanation:

To find a quadratic equation with the y-intercept and vertex, follow these steps: identify the coordinates of the y-intercept and vertex, substitute them into the general form of the quadratic equation, solve for the coefficients, and substitute the coefficients back into the equation. For example, if the y-intercept is (0, 3) and the vertex is (-2, 1), the quadratic equation would be y = x^2 + x + 3.

To find a quadratic equation with the y-intercept and vertex, we can follow these steps:

For example, let's say the y-intercept is (0, 3) and the vertex is (-2, 1). We can substitute these coordinates into the general form of the quadratic equation:

3 = a(0)^2 + b(0) + c

1 = a(-2)^2 + b(-2) + c

Simplifying these equations, we get:

c = 3

4a - 2b + c = 1

By substituting c = 3 into the second equation, we can solve for a and b:

4a - 2b + 3 = 1

4a - 2b = -2

2a - b = -1

By solving this system of equations, we find a = 1 and b = 1. Substituting these values back into the general form of the quadratic equation, we obtain the final equation:

y = x^2 + x + 3

About quadratic equation here:

https://brainly.com/question/30098550

#SPJ11

To find a quadratic equation with a given y-intercept and vertex, you need the coordinates of the vertex and one additional point on the curve.

Example:

Suppose we want to find a quadratic equation with a y-intercept of (0, 4) and a vertex at (2, -1).

To find a quadratic equation with a given y-intercept and vertex, you can use the vertex form of a quadratic equation and substitute the coordinates to obtain the equation. Then, use the y-intercept to find an additional point on the curve and solve a system of equations to determine the coefficients. Finally, substitute the coefficients into the standard form of the quadratic equation to get the final equation.

To know more about quadratic equation visit:

https://brainly.com/question/30164833

#SPJ11

Answer:

4x + xy + 6 - 5y

Step-by-step explanation:

-21,  -23, -27, -28, -28, -29 order them least to greatest and then find the middle if there is not a middle then put -27.5 as your answer for the median. For the mean add up all the number then you should get -156 then divide it by 6 which should give you -26 for the mean.  and for the mode you should get -28 as the one that occurs the most often.

mean: -26

median: -27.5

mode: -28

Step-by-step explanation:

=> the correct equation for the given value is

=>. y = 5x + 4

hope it helps and your day will be full of happiness

Answer:

a+2

Step-by-step explanation:

The simplification of the expression 1/2 (2a+4) is a+2. The correct option is B.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The given expression is 1/2 (2a+4). The expression will be solved as below,

E = 1/2 (2a+4)

E = (2a / 2 ) + ( 4 / 2 )

E = a + 2

Therefore, the simplification of the expression 1/2 (2a+4) is a+2. The correct option is B.

To know more about an expression follow

https://brainly.com/question/17169985

#SPJ2

I hope this can help you out some

Answer:

Random samples are more likely to contain data that can be used to make predictions about a whole population. The size of a sample influences the strength of the inference about the population.

Step-by-step explanation:

Answer: See explanation

Step-by-step explanation:

18 + (1x)

Hope that helped!

\((\stackrel{x_1}{0}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{5}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{5}-\stackrel{y1}{4}}}{\underset{\textit{\large run}} {\underset{x_2}{2}-\underset{x_1}{0}}} \implies \cfrac{ 1 }{ 2 }\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{ \cfrac{ 1 }{ 2 }}(x-\stackrel{x_1}{0})\implies y=\cfrac{1}{2}x+\text{\LARGE 4}~\hfill \stackrel{y-intercept}{(0,\text{\LARGE 4})}\)

Answer:

C. 97.5 yd

Step-by-step explanation:

The distance between Marsha, the ball and the tee for the fourth hole, forms a triangle.

Thus, the distance between Marsha's ball and the hole can be calculated using the Cosine formula below:

c² = a² + b² - 2abcos(C)

Where,

c = distance between Marsha's ball and the hole = ?

a = distance between the tee for the fourth hole and the tee = 300 yd

b = distance between tee and the hole = 255 yd

C = 18°

c² = 300² + 255² - 2(300)(255)cos(18)

c² = 90000 + 65025 - 153000 × 0.951

c² = 155025 - 145503

c² = 9522

c = √9522 ≈ 97.5

c = distance between Marsha’s ball and the hole = 97.5 yd (nearest tenth)

The highway has had a negative effect on the genetic diversity of the Florida panther population by reducing gene flow and increasing genetic differentiation between the northern and southern subpopulations.

This can lead to a decrease in genetic variation within each subpopulation and a loss of adaptive potential, which may increase the risk of inbreeding depression and reduced fitness.

Assuming Hardy-Weinberg equilibrium, the expected value of Fst under random mating is:

Fst = (Ht - Hs) / Ht,

where Ht is the expected heterozygosity of the total population and Hs is the expected heterozygosity of the subpopulations.

If we assume that the two subpopulations have equal effective population sizes of 75 individuals, then the expected heterozygosity of the total population is:

Ht = (2 * 75 * (1 - (1/2N))) / (2 * 75 - 1),

where N is the total population size (150 in this case) and 1/2N is the frequency of alleles that are identical by descent due to common ancestry.

Since the subpopulations are assumed to be in Hardy-Weinberg equilibrium, the expected heterozygosity of each subpopulation is:

Hs = 2pq,

where p and q are the frequencies of the two alleles in each subpopulation.

With an Fst of 0.1, we can use the above equations to solve for p and q in each subpopulation. We find that p = 0.73 and q = 0.27 in the northern subpopulation, and p = 0.66 and q = 0.34 in the southern subpopulation.

Comparing these frequencies, we can see that there is a significant genetic differentiation between the two subpopulations, indicating limited gene flow between them. The highway likely acts as a barrier to dispersal, preventing or reducing the movement of individuals between the northern and southern subpopulations.

Therefore, we can conclude that the highway has had a negative effect on the genetic diversity of the Florida panther population by reducing gene flow and increasing genetic differentiation between the northern and southern subpopulations. This can lead to a decrease in genetic variation within each subpopulation and a loss of adaptive potential, which may increase the risk of inbreeding depression and reduced fitness.

Find out more about Hardy-Weinberg equilibrium

brainly.com/question/29773694

#SPJ4

Answer:

m∠WZX = 41°

Step-by-step explanation:

diagonals bisect angles and opposite angles are congruent

therefore, ∠WXY ≅ ∠WZY

∠WZY must equal [360 - 2(68)] ÷ 2 which equals 112°

If ∠WXZ = 71° then so does ∠XZY

Which means that ∠WZX must equal 112-71 which is 41°

===================================================

Explanation:

Refer to the diagram below. I've marked up the figure with various angles to point out the angles we'll be working with.

To make things a bit simpler in terms of notation, and to match up colors with variable letters, I'm going to use the following

Notice how the two red angles I've marked up are alternate interior angles. This works because WX is parallel to ZY. Also notice that the red and blue angles combine to form the angle WZY, which is adjacent to angle XYZ in green.

For any parallelogram, the adjacent angles always add to 180.

(angle WZY) + (angle XYZ) = 180

(blueAngle+redAngle) + (greenAngle) = 180

(B+R) + (G) = 180

(B+71) + (68) = 180

B+139 = 180

B = 180-139

B = 41

The blue angle is 41 degrees, which means angle WZX is 41 degrees

Side note: Your steps and answer to problem 11 are correct. Nice work.

Answer:

2560 Pesos

Step-by-step explanation:

How to find the amount of money in the savings account:

2380 - 500 = 1880

1880 + 680 = 2560

The addition equation: 1880 + 680 = 2560

The sum of the money: 2560 Pesos

Answer:

115

Step-by-step explanation:

The probability that up to a minute w that there are 5 or fewer calls arriving at a particular switchboard that follows a Poisson process with an average of 5 calls coming per minute is 0.1512.

Here's the solution: Given that calls arriving at a particular switchboard follow a Poisson process with an average of 5 calls coming per minute.

Therefore,λ= 5 calls per minute Probability of 5 or fewer calls coming in a minuteP(X ≤ 5)= P(0) + P(1) + P(2) + P(3) + P(4) + P(5)Where P(X = x) is the probability of x calls coming in a minute using Poisson distribution= (e^(-λ)*λ^x)/x!Let us find the values of P(0), P(1), P(2), P(3), P(4), and P(5)

using Poisson distribution.P(0)= (e^(-5)*5^0)/0! = 0.006737947P(1)= (e^(-5)*5^1)/1! = 0.033689735P(2)= (e^(-5)*5^2)/2! = 0.084224339P(3)= (e^(-5)*5^3)/3! = 0.140373899P(4)= (e^(-5)*5^4)/4! = 0.175467374P(5)= (e^(-5)*5^5)/5! = 0.175467374

Thus, P(X ≤ 5) = 0.006737947 + 0.033689735 + 0.084224339 + 0.140373899 + 0.175467374 + 0.175467374= 0.6169606670

So, the probability that up to a minute w that there are 5 or fewer calls arriving at a particular switchboard that follows a Poisson process with an average of 5 calls coming per minute is 0.616960667.The probability that there are no calls, P(0), was computed.  The final result should be P(X≤5) which was correctly computed.

For more information on average visit:

https://brainly.com/question/897199

#SPJ11

the subjects for 10 years to see which group develops more cancer this is a Prospective study

Individuals are monitored in real-time for prospective studies, as information is gathered about them as their traits or situations evolve. Prospective studies include things like birth cohort studies.

In retrospective research, people are sampled, as details regarding their history are gathered. This could be done by asking people to recollect significant occurrences during interviews or by finding pertinent administrative data to fill in the blanks on former events and conditions.

A study sample is split into two groups in a randomized experiment: one will get the intervention under research, while the other won't.

A matched experiment is a type of research setup in which subjects are paired up according to traits they have in common before being divided into categories.

A survey involves asking a sample of people a specified set of questions.

Learn more about Prospective study here:https://brainly.com/question/28501660

#SPJ4

Domain is the x values.

The x values in the given function are: 0,3,5,8

The answer would be B. {0,3,5,8}

Given:

A particle moves along the x-axis so that its position at time t > 0 is given by x(t).

\(\dfrac{dx}{dt}=-10t^4+9t^2+8t\)

To find:

The value of t at which acceleration of the particle is zero.

Solution:

We have, x(t) as position function. So, its derivative with respect to t is velocity.

\(v=\dfrac{dx}{dt}=-10t^4+9t^2+8t\)

Derivative of velocity with respect to t is acceleration.

\(a=\dfrac{dv}{dt}=\dfrac{d}{dt}(-10t^4+9t^2+8t)\)

\(a=-10(4t^3)+9(2t)+8(1)\)

\(a=-40t^3+18t+8\)

Putting a=0, to find the time t at which acceleration of the particle is zero.

\(0=-40t^3+18t+8\)

\(0=-40t^3+18t+8\)

Using the graphing calculator, we get t=0.831 is the only real solution of this equation.

\(t=0.831\)

Therefore, the correct option is b.

Answer:

(3x - 2) (x - 2)

Step-by-step explanation:

im smart

To calculate the p-value, we have to follow the following steps:

To calculate the p-value, we need

p = sample proportion

p' = assumed population proportion in the null hypothesis

n = sample size

Example

Given, n =40, σ = 32.17 and X = 105.37. calculate p-value.

σₓ = σ/ √n

σₓ = 32.17 / √40

    = 5.0865

Now, by applying the test static formula, we get

t = (105.37 – 120) / 5.0865

t = -2.8762

Using the table, we find the value of P(t>-2.8762)

From the table, we get

P (t<-2.8762) = P(t>2.8762) = 0.003

If P(t>-2.8762) = 1- 0.003 = 0.997

P- value = 0.997 > 0.05

To learn more about the p-value from the given link

https://brainly.com/question/13786078

#SPJ4

Answer:

8 and 15/16  or 143/16

Step-by-step explanation:

3.25 * 5.5 = 17.875/2