I WILL GIVE BRAINLIEST ihrugq'iu;igig54i;gtq;ha;gv


Diego wrote the inequality 5m + 10 ≤ 130 to represent m, the number of minutes he spent doing homework for one class. Which is the greatest amount of time he could have spent doing homework for each subject?


28 minutes

23 minutes

20 minutes

24 minutes

The bigger measurement is 2 mm and the smaller measurement is

2 μm.

Given, the measurements  are :

2 μm

we know that to convert from micro meter to meter, we use:

1 μm = 0.01 meter.

2 μm = 2 × 0.01 m

2 μm = 0.02 m

2 μm = 2/100

2 μm = 2 × 10⁻² m

for 2 nm

we know that to convert from nano meter to meter, we use:

1 nm = 10⁻⁹ meters.

2 nm = 2 × 10⁻⁹ meters.

for 2 mm

we know that to convert from milli meter to meter, we use:

1 mm = 0.001 meters.

2 mm = 2 × 0.001 m

2 mm = 0.002 m

2 mm = 2/1000 m

2 mm = 2 × 10⁻³ m

therefore , 2 × 10⁻² m > 2 × 10⁻³ m > 2 × 10⁻⁹ m

we can notice that millimeter is the greatest and nanometer is the smallest.

Hence we get the greater and smaller measurements.

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a. The marginal PMFs of U and V can be obtained by summing over all possible values of the other random variables: P(U = u):\(= sum_{v=-u}^{u} P(U = u, V = v), P(V = v) \\\\= sum_{u=|v|}^{2-|v|} P(U = u, V = v).\)

and b. P(V = -1) = P(X = 1, Y.

a. The joint probability mass function (PMF) of U and V, we can use the definition of U and V and the fact that X and Y are independent Bernoulli(0.5) random variables:

For U = X + Y and V = X - Y, we have:

U = 0 if X = 0 and Y = 0

U = 1 if (X = 0 and Y = 1) or (X = 1 and Y = 0)

U = 2 if X = 1 and Y = 1

V = 0 if X = 0 and Y = 0

V = 1 if (X = 0 and Y = 1) or (X = 1 and Y = 0)

V = -1 if X = 1 and Y = 1

Using the above equations, we can write the joint PMF of U and V as:

P(U = u, V = v) = P(X = (u+v)/2, Y = (u-v)/2)

Since X and Y are independent Bernoulli(0.5) random variables, we have:

P(X = x, Y = y) = P(X = x) * P(Y = y) = 0.5 * 0.5 = 0.25

Therefore, we can write the joint PMF of U and V as:

P(U = u, V = v) =

{ 0.25 if u+v is even and u-v is even, and u+v >= 0

{ 0 otherwise

The marginal PMFs of U and V can be obtained by summing over all possible values of the other variable:

\(P(U = u) = sum_{v=-u}^{u} P(U = u, V = v)\\P(V = v) = sum_{u=|v|}^{2-|v|} P(U = u, V = v)\)

b. To check if U and V are independent, we need to show that their joint PMF factorizes into the product of their marginal PMFs:

P(U = u, V = v) = P(U = u) * P(V = v) for all u and v

Let's consider the case where u+v is even and u-v is even:

P(U = u, V = v) = 0.25

P(U = u) * P(V = v) =

\(sum_{v'=-u}^{u} P(U = u) * P(V = v') * delta_{v,v'}\)

= P(U = u) * P(V = v) + P(U = u) * P(V = -v) if u > 0

= P(U = u) * P(V = 0) if u = 0

delta_{v,v'} is the Kronecker delta function that equals 1 if v = v' and 0 otherwise.

Therefore, U and V are independent if and only if P(U = u) * P(V = v) = P(U = u, V = v) for all u and v.

Now let's compute the marginal PMFs of U and V:

P(U = 0) = P(X = 0, Y = 0) = 0.25

P(U = 1) = P(X = 0, Y = 1) + P(X = 1, Y = 0) = 0.5

P(U = 2) = P(X = 1, Y = 1) = 0.25

P(V = -1) = P(X = 1, Y

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Answer:

X= 5, -2

Step-by-step explanation:

This would be the answer if you are looking to "solve"

Answer:

4 and 3/4 inches less for April

and 1 and  1/2 inches  less for March

Step-by-step explanation:

To determine the degree of a polynomial function given in factored form, a good first step is to count the highest power of the variable in the factored expression.

In factored form, a polynomial function is expressed as the product of linear factors or irreducible quadratic factors.

Each factor represents a root or zero of the function.

The degree of a polynomial is determined by the highest power of the variable in the expression.

To find the degree of the function, examine each factor in the factored form.

For linear factors, the degree is 1 since the highest power of the variable is 1.

For irreducible quadratic factors, the degree is 2 since the highest power of the variable is 2.

By observing the highest power in the factored expression, you can determine the degree of the polynomial function.

If the highest power is 1, the polynomial has a degree of 1 (linear function). If the highest power is 2, the polynomial has a degree of 2 (quadratic function). And so on.

It's important to note that the degree of a polynomial corresponds to the highest power of the variable in the expression and not the number of factors.

The number of factors indicates the number of roots or zeros of the polynomial, but it doesn't determine the degree.

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Answer:

112 guests

Step-by-step explanation:

I. If her total cost is 773$

When Total = DJ + Cake + Guest

            773 = 250 + 75 + 4(x)

            773 = 325 + 4(x)

            773 - 325 = 4(x)

            448 = 4x

               x = 448/4

               x = 112

That makes guests are 112

1.239x10²⁴ different ways can the 26 different letters be arranged so that either the word "the" or the word "aid" are present.

Given that,

We have to find how many different ways can the 26 different letters be arranged so that either the word "the" or the word "aid" are present.

We know that,

Total number of arrangements of 26 different letters= 26!

Let A be the number of arrangements that contains 'the' = 24! ( Total no. Of alphabet= 26 subtract the number That contains 'the' i.e, 3 and add one for 'the' 26-23+1=24)

Let B be the number of arrangements that contains 'aid' = 24! (Total no. Of alphabet minus number of letter in 'aid' and add 'aid' as an alphabet i.e, 26-23+1= 24)

Total no. Of arrangements that contains either sequence 'the' or 'aid'

A or B= (A)+(B)- (A intersection B)

24! +24! -22! = 1.239x10²⁴

Therefore, 1.239x10²⁴ different ways can the 26 different letters be arranged so that either the word "the" or the word "aid" are present.

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Answer:

x=5 y=3

Step-by-step explanation:

give me brainliest

Answer:

(x, y) = (- 2, 2)

Step-by-step explanation:

I hope this helps tell me if it's wrong

Answer:

Step-by-step explanation:

are the what???

The equation of straight line of the points is given as y = -x - 2

To solve this problem, we simply need to find the equation of straight line which can be done by finding the slope of the line and then intercept of the line.

In the given points;

The formula of slope of a line is given as

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

Substituting the values into the equation;

\(m = \frac{3 - (-6)}{-5 - 4} \\m = \frac{9}{-9} \\m = -1\)

The slope of the line is equal to 1.

Let's find the intercept of the line

\(y = mx + c\)

Taking point A;

\(y = mx + c\\-6 = -1(4) + c\\-6 = -4 + c\\c = -2\)

The equation of the line is y = -x - 2

Translation: Find the equation of a straight line from two point A(4, -6) and B(-5, 3).

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In a parallelogram, opppsite angles are equal. and the sum of the adjascent angles is 180

Greatest number that divides 300, 560 and 500 is 20 .

Given numbers : 300, 560 and 500

First let’s find prime factors of 300,560 and 500

300 = 2^2 *3^1 *5^2

560= 2^4 * 7^1 *5^1

500 = 2^2 * 5^3

So,

Here highest common power of 2 is 2

Here highest common power of 3 is 0

Here highest common power of 5 is 1

Here highest common power of 7 is 0

Thus HCF (300, 560 and 500) = 2^2 * 5^1 * 3 ^0 * 7 ^0

=4*5*1*1

= 20

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In a within-groups factorial design, each participant is exposed to all levels of the independent variables, which requires a larger number of participants compared to other designs. A mixed factorial design can have multiple independent variables, and it is not limited to only two.

The true statements about factorial design variations are as follows:

1. A within-groups factorial design typically requires the most participants.
2. A mixed factorial design can have more than two independent variables.
3. A between-groups design with three independent variables results in three main effects.

Lastly, in a between-groups design with three independent variables, there will be three main effects to consider.

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Explanation:

x = amount she travels on each of those three remaining days

3x = total amount traveled over those three remaining days

3x+24 = total amount traveled over the four days

3x+24 = 120 miles total

This equation is in the form px+q = r where:

Let's solve for x. We follow PEMDAS in reverse to undo what's happening to x, so we can isolate it.

3x+24 = 120

3x+24-24 = 120-24 .... subtract 24 from both sides

3x = 96

3x/3 = 96/3 .... divide both sides by 3

x = 32

Triana must travel 32 miles per day for those remaining three days.

Doing so means she travels 3x = 3*32 = 96 miles over those three remaining days. Then add on those 24 miles traveled on the first day to get 96+24 = 120 miles total. This helps confirm the answer.

Another way to confirm the answer is to plug x = 32 into 3x+24 = 120. After simplifying both sides, you should get 120 = 120 which is a true statement.

a study designed to determine if there is an association between an adverse effect in a large population and exposure to a particular agent is an Epidemiological study.

Epidemiology is the observation of the distribution of diseases and other fitness-related situations in populations, and the utility of this study is to manipulate fitness issues. The time period epidemiology is now broadly carried out to cover the description and causation of not the most effective epidemic, infectious ailment, but of sickness in preferred, along with associated situations. some examples of topics examined via epidemiology consist of excessive blood stress, mental illness, and weight problems. Saving Lives. shielding human beings. Saving cash via Prevention. Epidemiology is the examination of the starting place and reasons for diseases in a network.

Cohort studies are fine for analyzing the herbal progression of ailment or chance elements for sickness; case-manipulate studies are lots quicker and less pricey. Qualitative research methods are a key component of discipline epidemiologic investigations due to the fact they are able to offer insight into the perceptions, values, critiques, and community norms in which investigations are being carried out (1,2).

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Answer:

(1,2)

Step-by-step explanation:

y = 2x. y = -x+3

Set the two equations equal

2x = -x+3

Add x to each side

2x+x = -x+x+3

3x = 3

Divide by 3

3x/3 = 3/3

x = 1

Now find y

y =2x = 2(1) = 2

(1,2)

Solve like how you solve the system of equations. System of Equations are to find the intercept of both graphs or to find which coordinate points are solution to both equations.

We are given the equations below:

\( \large{ \begin{cases} y = 2x \\ y = - x + 3 \end{cases}}\)

Since both equations are y-isolated and we want to find the coordinate point that both equations have or the coordinate point that is a part of two equations.

\( \large{2 x = - x + 3}\)

Isolate the x-term by adding both sides by x.

\( \large{2x + x = - x + 3 + x} \\ \large{3x = 3}\)

Divide both sides by 3 so we can finally get the x-isolated equation.

\( \large{ \frac{3x}{3} = \frac{3}{3} \longrightarrow x = 1 }\)

Next step is to find the value of y. x-term and y-term both have relations. That means when substituting x-term, we get y-term. Therefore, substitute x = 1 in any given equations. It is not necessary to substitute both, only one is fine. I will choose the first equation to solve for y-value.

\( \large{y = 2x}\)

Substitute x = 1:

\( \large{y = 2(1) \longrightarrow y = 2}\)

The value of y is 2 when x is 1. Since we want the answer to be in coordinate form or ordered pair. From (x,y) - we get (1,2).

Answer

I hope this helps! Let me know if you have any questions or doubts. Do not hestitate to ask if you've got a question. Good luck on your assignment and have a great day!

Answer:

scalene triangle

Step-by-step explanation:

The amount of money in Iris's checking account can be modeled by a linear function of the form:

y = mt + b

where y is the amount of money in the account, t is the time (measured in years), m is the rate of interest, and b is the initial amount in the account.

In this case, we have m = 0.04 (since the interest rate is 4% per year) and b = 180 (since that's the initial amount in the account). Therefore, the linear function that models the amount of money in Iris's checking account at any time t is:

y = 0.04t + 180

For example, if t = 5 (years), then the amount of money in Iris's checking account is 0.04 * 5 + 180 = 198 dollars.

Answer:

happy new year

Step-by-step explanation:

i am your biggest fan I am your teacher you fill

Answer:

1. -9xy

2. 6ab

3.-8mn

4. 17nx

Step-by-step explanation:

Therefore, the volume of the solid created upon dilation is 12960 cubic units.

Volume is a measure of the amount of space occupied by a three-dimensional object or shape. It is typically measured in cubic units, such as cubic meters, cubic centimeters, or cubic feet. The volume of an object can be calculated using its dimensions, such as length, width, and height, and various mathematical formulas depending on the shape of the object.

Here,

Assuming that the solid being referred to is a right prism with a rectangular base, the original volume can be calculated as follows:

Volume = base area x height

Base area = length x width

Base area = 9 x 15

Base area = 135 square units

The height of the prism can be calculated using the Pythagorean theorem:

h² = s1² - b²

h² = 15² - 9²

h² = 144

h = 12 units

Therefore, the original volume is:

Volume = base area x height

Volume = 135 x 12

Volume = 1620 cubic units

The new height of the prism can be calculated using the Pythagorean theorem:

h² = s1² - b²

h² = 30² - 18²

h² = 576

h = 24 units

Therefore, the new volume is:

Volume = base area x height

Volume = 540 x 24

Volume = 12960 cubic units

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Answer:

g(g(x)=25x

Step-by-step explanation:

g(g(x) is a composition function. Think of g(x) as input. That means whatever g(x) equal that will be inside of the function g(x)

g(x) equal 5x so 5x will be the equal value going into the function g(x)

\(g(x) = 5x\)

\(g(x) = 5(5x)\)

Which equal 25x

The minimum sterilization time required to achieve a 99.9% confidence level in successfully sterilizing 50 L of medium containing 10^6 contaminating organisms is approximately 1.95 minutes.

To calculate the minimum sterilization time required to yield 99.9% confidence of successfully sterilizing 50 L of medium containing 10^6 contaminating organisms, we need to use the concept of decimal reduction time (D-value) and the number of organisms.

The D-value represents the time required to reduce the population of microorganisms by one log or 90%. In this case, the given D-value is 0.65 minutes.

To achieve a 99.9% confidence level, we need to reduce the population of microorganisms by three logs or 99.9%, which corresponds to a 10^-3 reduction.

To calculate the minimum sterilization time, we can use the following formula:

Minimum Sterilization Time = D-value × log10(N0/Nf)

Where:

D-value is the decimal reduction time (0.65 minutes).

N0 is the initial number of organisms (10^6).

Nf is the final number of organisms (10^6 × 10^-3).

Let's calculate it step by step:

Nf = N0 × 10^-3

= 10^6 × 10^-3

= 10^3

Minimum Sterilization Time = D-value × log10(N0/Nf)

= 0.65 minutes × log10(10^6/10^3)

= 0.65 minutes × log10(10^3)

= 0.65 minutes × 3

= 1.95 minutes

Therefore, the minimum sterilization time required to yield 99.9% confidence of successfully sterilizing 50 L of medium containing 10^6 contaminating organisms using this procedure is approximately 1.95 minutes

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According to the given model, the rate of people entering the subway car changes from increasing to decreasing at approximately t = 5.4 hours.

To determine when the rate of people entering the subway car transitions from increasing to decreasing, we need to find the point where the derivative of the function R(t) changes from positive to negative. The derivative of R(t) with respect to t represents the rate of change of R(t) over time.

Taking the derivative of R(t) with respect to t, we get:

R'(t) = 6.587

Since the derivative is constant, it does not change sign. Therefore, the rate of people entering the subway car is always increasing according to the given model.

As a result, the rate of people entering the subway car never changes from increasing to decreasing within the given model.

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The critical values for quick reference are given below:Confidence level Critical value A poli reported 38% support for 4 statewide elections with a margin of error of 4.45 percentage points.

The formula for the margin of error is given by:Margin of error = Critical value * Standard errorThe standard error is given by:Standard error = √(p * (1 - p)) / nWe know that the margin of error is 4.45 percentage points. Let's determine the critical value for a 90% confidence level.z* = 1.645We know that the point estimate is

p = 0.38, and we need to determine the minimum sample size n. Rearranging the formula, we get:

n = (z* / margin of error)² * p * (1 - p)Substituting the given values, we get:

n = (1.645 / 0.0445)² * 0.38 * 0.62n

= 348.48Rounding up to the nearest whole number, we get that at least 349 voters should be surveyed for a 90% confidence interval. Therefore, the correct option is B.

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There are a total of 27 combinations that give a sum of 10 when rolling three dice.

We have,

The possible outcomes in the sample space for rolling three dice:

S = {(1, 1, 1), (1, 1, 2), (1, 1, 3), (1, 1, 4), (1, 1, 5), (1, 1, 6),

(1, 2, 1), (1, 2, 2), (1, 2, 3), (1, 2, 4), (1, 2, 5), (1, 2, 6),

(1, 3, 1), (1, 3, 2), (1, 3, 3), (1, 3, 4), (1, 3, 5), (1, 3, 6),

(1, 4, 1), (1, 4, 2), (1, 4, 3), (1, 4, 4), (1, 4, 5), (1, 4, 6),

(1, 5, 1), (1, 5, 2), (1, 5, 3), (1, 5, 4), (1, 5, 5), (1, 5, 6),

(1, 6, 1), (1, 6, 2), (1, 6, 3), (1, 6, 4), (1, 6, 5), (1, 6, 6),

(2, 1, 1), (2, 1, 2), (2, 1, 3), (2, 1, 4), (2, 1, 5), (2, 1, 6),

(2, 2, 1), (2, 2, 2), (2, 2, 3), (2, 2, 4), (2, 2, 5), (2, 2, 6),

(2, 3, 1), (2, 3, 2), (2, 3, 3), (2, 3, 4), (2, 3, 5), (2, 3, 6),

(2, 4, 1), (2, 4, 2), (2, 4, 3), (2, 4, 4), (2, 4, 5), (2, 4, 6),

(2, 5, 1), (2, 5, 2), (2, 5, 3), (2, 5, 4), (2, 5, 5), (2, 5, 6),

(2, 6, 1), (2, 6, 2), (2, 6, 3), (2, 6, 4), (2, 6, 5), (2, 6, 6),

(3, 1, 1), (3, 1, 2), (3, 1, 3), (3, 1, 4), (3, 1, 5), (3, 1, 6),

(3, 2, 1), (3, 2, 2), (3, 2, 3), (3, 2, 4), (3, 2, 5), (3, 2, 6),

(3, 3, 1), (3, 3, 2), (3, 3, 3), (3, 3, 4), (3, 3, 5), (3, 3, 6),

(3, 4, 1), (3, 4, 2), (3, 4, 3), (3, 4, 4), (3, 4, 5), (3, 4, 6),

(3, 5, 1), (3, 5, 2), (3, 5, 3), (3, 5, 4), (3, 5, 5), (3, 5, 6),

(3, 6, 1), (3, 6, 2), (3, 6, 3), (3, 6, 4), (3, 6, 5), (3, 6, 6),

(4, 1, 1), (4, 1, 2), (4, 1, 3), (4, 1, 4), (4, 1, 5), (4, 1, 6),

(4, 2, 1), (4, 2, 2), (4, 2, 3), (4, 2, 4), (4, 2, 5), (4, 2, 6),

(4, 3, 1), (4, 3, 2), (4, 3, 3), (4, 3, 4), (4, 3, 5), (4, 3, 6),

(4, 4, 1), (4, 4, 2), (4, 4, 3), (4, 4, 4), (4, 4, 5), (4, 4, 6),

(4, 5, 1), (4, 5, 2), (4, 5, 3), (4, 5, 4), (4, 5, 5), (4, 5, 6),

(4, 6, 1), (4, 6, 2), (4, 6, 3), (4, 6, 4), (4, 6, 5), (4, 6, 6),

(5, 1, 1), (5, 1, 2), (5, 1, 3), (5, 1, 4), (5, 1, 5), (5, 1, 6),

(5, 2, 1), (5, 2, 2), (5, 2, 3), (5, 2, 4), (5, 2, 5), (5, 2, 6),

(5, 3, 1), (5, 3, 2), (5, 3, 3), (5, 3, 4), (5, 3, 5), (5, 3, 6),

(5, 4, 1), (5, 4, 2), (5, 4, 3), (5, 4, 4), (5, 4, 5), (5, 4, 6),

(5, 5, 1), (5, 5, 2), (5, 5, 3), (5, 5, 4), (5, 5, 5), (5, 5, 6),

(5, 6, 1), (5, 6, 2), (5, 6, 3), (5, 6, 4), (5, 6, 5), (5, 6, 6),

(6, 1, 1), (6, 1, 2), (6, 1, 3), (6, 1, 4), (6, 1, 5), (6, 1, 6),

(6, 2, 1), (6, 2, 2), (6, 2, 3), (6, 2, 4), (6, 2, 5), (6, 2, 6),

(6, 3, 1), (6, 3, 2), (6, 3, 3), (6, 3, 4), (6, 3, 5), (6, 3, 6),

(6, 4, 1), (6, 4, 2), (6, 4, 3), (6, 4, 4), (6, 4, 5), (6, 4, 6),

(6, 5, 1), (6, 5, 2), (6, 5, 3), (6, 5, 4), (6, 5, 5), (6, 5, 6),

(6, 6, 1), (6, 6, 2), (6, 6, 3), (6, 6, 4), (6, 6, 5), (6, 6, 6)}

Now,

The combination where the sum is 10 is 27.

ie.

{(1, 3, 6), (1, 4, 5), (1, 5, 4), (1, 6, 3), ........, (6, 1, 3), (6, 2, 2,), (6, 3, 1)}

Thus,

There are 27 ways of combination where the sum is 10.

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Image 1: A.

Image 2: B

The definition of a function in mathematics is the confluence of each member of a set (named a domain), to members of another set (named a codomain). The function in question is different from the definition of function in a general sense.

In functions, there are several important terms, including:

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