Use the equality to find the ratio a : b . a/5=b/7

El ejercicio completo con las opciones de respuesta está a continuación:

Los primeros días de enero el representante  del mercado recibió cierta cantidad de dinero,hizo una operación y se dio cuenta que habían pagado 15 personas,cómo puede saber la cantidad recibida?

a.Multiplicando el dividendo por el divisor

b. Sumando el dividendo con el cociente y el residuo

c.Multiplicando el divisor por el cociente y sumando el residuo

d.Multiplicando el dividendo por el cociente y sumando el residuo

Answer:

La opción c es la respuesta correcta

Step-by-step explanation:

El valor de 15 corresponde al cociente es decir al total de personas que pagaron;el ejercicio nos da el valor del divisor que es 425 ; para saber cual es la cantidad exacta recibida debemos multiplicar el divisor por el cociente y si hay residuo sumarlo; el ejercicio nos queda de la siguiente manera:

425 x 15 = 6.375 (la cantidad recibida fue de 6.375)

\(\frac{6375}{425}\) = 15 (comprobación de la división para obtener el cociente con valor de 15)

Answer:

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Step-by-step explanation:

It would take about 10 seconds for the object to fall to the ground from the top of the tower

From the question, we have the following function equation that can be used in our computation:

s(t) = 16t²

Also, from the question;

The height (h) of the tower is given as

h = 1503 feet

The object would hit the ground when the height of the tower equals the distance travelled

Mathematically, this can be represented as:

s(t) = h

So, we have

s(t) = 1503

Substitute s(t) = 1503 in s(t) = 16t²

16t² = 1503

Divide both sides by 16

This gives

t² = 93.9375

Take the square root of both sides and approximate

t = 10 seconds

Hence, the time taken is about 10 seconds

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The volume of the cone with a height of 13 times the radius of the original cone can be expressed as V = (1/3)πr^2(13r), where r is the radius.


The volume of a cone is given by the formula V = (1/3)πr^2h, where r is the radius and h is the height. In this case, the height of the new cone is 13 times the radius of the original cone.

Therefore, we can replace the height, h, with 13r, where r is the radius. Substituting this into the volume formula, we get V = (1/3)πr^2(13r).

This expression represents the volume of the cone with a height of 13 times the radius of the original cone. By plugging in the value of the radius, we can calculate the actual volume of the cone.

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The value of E is \((-2)^{\frac{n-1}{8n} }\).

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

We have,

\(E^{8n}\) = 1 x \((-2)^{n -1}\)

8n root on both sides.

E = \(((-2)^{n -1})^\frac{1}{8n}\)

E = \((-2)^{(n-1)\times\frac{1}{8n}}\)

E = \((-2)^{\frac{n-1}{8n} }\)

Thus,

E = \((-2)^{\frac{n-1}{8n} }\).

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Pseudoscience lacks rigorous standards used in real scientific inquiries. Pseudoscience should be viewed with skepticism and critical evaluation to avoid being misled by unsupported claims.

Pseudoscience refers to claims, theories, or practices that are presented as scientific but lack scientific evidence, methods, or standards. Unlike real scientific inquiries, pseudoscientific claims often lack empirical evidence, peer-reviewed research, and falsifiability. This lack of rigorous standards means that pseudoscientific claims are often not subject to scrutiny and validation through empirical testing and independent review.

Pseudoscience is often associated with claims that are presented as scientific but lack scientific rigor. This means that such claims do not adhere to the rigorous standards and methods used in real scientific inquiries. In contrast, real scientific inquiries rely on empirical evidence, logical reasoning, critical thinking, and peer-reviewed research to advance knowledge and understanding of natural phenomena. One of the key differences between pseudoscience and real scientific inquiry is the absence of empirical evidence. Real scientific inquiries rely on systematic observation, measurement, and experimentation to generate empirical evidence that can support or falsify scientific claims. In contrast, pseudoscientific claims often rely on anecdotes, testimonials, or unproven assumptions to support their claims.

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A big sample that should the experimenter take from the population is 256 and if the standard deviation and the width of the confidence interval are both doubled then the sample is also 256.

In the given question,

The confidence level = 99%

Given width = 0.5

Standard deviation of resistance(\sigma)= 1.55

We have to find a big sample that should the experimenter take from the population and what happens if the standard deviation and the width of the confidence interval are both doubled.

The formula to find the a big sample that should the experimenter take from the population is

Margin of error(ME) \(=z_{\alpha /2}\frac{\sigma}{\sqrt{n}}\)

So n \(=(z_{\alpha /2}\frac{\sigma}{\text{ME}})^2\)

where n=sample size

We firstly find the value of ME and \(z_{\alpha /2}\).

Firstly finding the value of ME.

ME=Width/2

ME=0.5/2

ME=0.25

Now finding the value of \(z_{\alpha /2}\).

Te given interval is 99%=99/100=0.99

The value of \(\alpha\) =1−0.99

The value of \(\alpha\) =0.01

Then the value of \(\alpha /2\) = 0.01/2 = 0.005

From the standard table of z

\(z_{0.005}\) =2.58

Now putting in the value in formula of sample size.

n=\((2.58\times\frac{1.55}{0.25})^2\)

Simplifying

n=(3.999/0.25)^2

n=(15.996)^2

n=255.87

n≈256

Hence, the sample that the experimenter take from the population is 256.

Now we have to find the sample size if the standard deviation and the width of the confidence interval are both doubled.

The new values,

Standard deviation of resistance(\(\sigma\))= 2×1.55

Standard deviation of resistance(\(\sigma\))= 3.1

width = 2×0.5

width = 1

Now the value of ME.

ME=1/2

ME=0.5

The z value is remain same.

Now putting in the value in formula of sample size.

n=\((2.58\times\frac{3.1}{0.5})^2\)

Simplifying

n=(7.998/0.5\()^2\)

n=(15.996\()^2\)

n=255.87

n≈256

Hence, if the standard deviation and the width of the confidence interval are both doubled then the sample size is 256.

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The postfix expression of "7+5-3*2(6*7)/4" is "7 5 + 3 2 * 6 7 * 2 * - 4 /". Evaluating the postfix expression gives the result of the expression. The prefix expression for the given infix expression is "/ - + 7 5 * 3 * 2 ( * 6 7 ) 4".

To convert the infix expression "7+5-3*2(6*7)/4" into postfix expression, we follow the rules of operator precedence and associativity. The postfix expression is obtained by placing operators after their operands.

The postfix expression for the given infix expression is:

"7 5 + 3 2 * 6 7 * 2 * - 4 /"

To evaluate the postfix expression, we use a stack data structure. We scan the postfix expression from left to right and perform the corresponding operations.

Starting with an empty stack, we encounter the operands "7" and "5". We push them onto the stack. Then we encounter the operator "+", so we pop the last two operands from the stack (5 and 7), perform the addition operation (7 + 5 = 12), and push the result back onto the stack.

We continue this process for the remaining operators and operands in the postfix expression. Finally, after evaluating the entire expression, the result left on the stack is the final answer.

To convert the infix expression into prefix expression, we follow similar rules but scan the expression from right to left. The prefix expression is obtained by placing operators before their operands.

The prefix expression for the given infix expression is:

"/ - + 7 5 * 3 * 2 ( * 6 7 ) 4"

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Answer:

The amount she saves is 25% of her income

Step-by-step explanation:

She is paid $11 per hour

She works 9 hours per day

and for 24 days per month

So, she works 9(24) hours per month

= 216 hours per month

Now, she is paid $11 hourly, so for 216 hours,

she will have 11(216) = $2376

Total income = $2376 per month

Saving = $594 per month

As a percentage, we divide the savings by the total income,

savings/(total income) = 594/2376 = 1/4 = 0.25

Hence we get 25%

The equation of the parabola used for the reflector is y = (1/6)x^2. The filament of the lightbulb is located at a distance of 1 inch from the vertex of the reflector.

To find the equation of the parabola used for the reflector, we need to determine the focal length (f) of the parabola. Since the filament of the light bulb is located at the focus, we can use the formula for the focal length of a parabola, which is f = d/4, where d is the depth of the reflector. In this case, the depth of the reflector is 6 inches, so the focal length is f = 6/4 = 1.5 inches.

The general equation of a parabola with its vertex at the origin is y = ax^2, where a is a constant. To find the specific equation for this reflector, we need to determine the value of a. Since the reflector has a width of 7 inches from rim to rim, the distance from the vertex to one side of the parabola is 7/2 = 3.5 inches. This distance corresponds to x in the equation. Plugging in these values, we have 3.5 = a(1.5)^2. Solving for a, we get a = 3.5 / (1.5)^2 = 1.55.

Therefore, the equation of the parabola used for the reflector is y = (1.55)x^2. Since the filament of the lightbulb is located at the focus, which is a distance equal to the focal length from the vertex, we know that the filament is located 1.5 inches from the vertex of the reflector.

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The value of the unknown angle measure m∠A is 13.

The first step is to set 2x+7 equal to 5x-2. Erin is correct because we are solving for the value of x in the equation 2x+7 = 5x-2.The steps to solve the equation 2x+7 = 5x-2 are as follows:

Step 1: Start by simplifying both sides of the equation2x+7 = 5x-2subtracting 2x from both sides of the equation7 = 3x - 2adding 2 to both sides of the equation9 = 3xThus, x = 3

Step 2: Plug in the value of x in the equation to find the value of the unknown angle measurem∠A = 5x - 2m∠A = 5(3) - 2m∠A = 15 - 2m∠A = 13Therefore, the value of the unknown angle measure m∠A is 13.

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Answer:

y=1/2x-5

Step-by-step explanation:

Okay so first we do y2 - y1

-1 - (-3)

a negative minus a negative is just adding so its actually

-1 + 3 = 2

now we do x2 - x1

2 - 1 = 1

The slope is 1/2

If you look at the (0, -5) since x is a y the -5 is our y intercept

now we can make the equation

y=1/2x-5

Answer:

13 large 8 small

Step-by-step explanation:

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The expression for the total amount deposited after M months is $100 + $50M.

From the above question, M is the number of months, the expression that shows the total amount deposited after M months can be calculated as follows:

Amount deposited = $100 + $50M

To calculate the total deposit amount after M months, we need to know the monthly deposit amount. Let us denote the monthly deposit amount by D (currency unit).

The formula for total deposits after M months can be written as:

Total Deposits = M * D

In this formula, M represents the number of months and D represents monthly deposits.

Multiply the number of months by the monthly deposit amount to get the total deposit amount after M months.

Total amount deposited after M months = $100 + $50M.So, the expression for the total amount deposited after M months is $100 + $50M.

Question:- Let m be the number of months. Write an expression to show the total amount deposited after m months. 25m Write an expression to show the total amount in Trey's savings account after m months.

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Answer:

$5.63

Step-by-step explanation:

Each bag of bananas is $5.63.

If you divide $28.15 by 5 you get $5.63.

a) The initial amount a is 16,000.

b) The percent rate of change is 5%, the growth factor is 1.05.

c) The number of students enrolled after one year, based on the above growth factor, is 16,800.

d) The completion of the equation y = abˣ to find the number of students enrolled after x years is y = 16,000(1.05)ˣ.

e) Using the above exponential growth equation to predict the number of students enrolled after 22 years shows that 46,804 are enrolled.

An exponential growth equation shows the relationship between the dependent variable and the independent variable where there is a constant rate of change or growth.

An exponential growth equation or function is written in the form of y = abˣ, where y is the value after x years, a is the initial value, b is the growth factor, and x is the exponent or number of years involved.

a) Initial number of students enrolled at the college = 16,000

Growth rate or rate of change = 5% = 0.05 (5/100)

b) Growth factor = 1.05 (1 + 0.05)

c) The number of students enrolled after one year = 16,000(1.05)¹

= 16,800.

d) Let the number of students enrolled after x years = y

y = abˣ

y = 16,000(1.05)ˣ

e) When x = 22, the number of students enrolled in the college is:

y = 16,000(1.05)²²

y = 46,804

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The number of students enrolled at a college is 16,000 and grows 5% each year. Complete parts (a) through (e).

a) The initial amount a is ...

b) The percent rate of change is 5%, what is the growth factor?

c) Find the number of students enrolled after one year.

d) Complete the equation y = ab^x to find the number of students enrolled after x years.

e) Use your equation to predict the number of students enrolled after 22 years.

Distribute 2 pigeons in each of the n holes, then place the remaining pigeon in any hole. This achieves a maximum of 2 pigeons in any hole.



This problem is a variation of the pigeonhole principle, also known as the Dirichlet's box principle. According to the principle, if you have more objects (pigeons) than the number of containers (holes), at least one container must contain more than one object.

In this case, you have 2n + 1 pigeons and n holes. To minimize the number of pigeons in the most occupied hole, you want to distribute the pigeons as evenly as possible.To achieve this, you can distribute 2 pigeons in each of the n holes, which accounts for 2n pigeons in total. Then you are left with 2n + 1 - 2n = 1 pigeon. You can place this remaining pigeon in any of the n holes, making sure no hole has more than 2 pigeons.

Therefore, the best value you can achieve is to have 2 pigeons in each of the n holes and 1 pigeon in one of the holes, resulting in a maximum of 2 pigeons in any given hole.

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Answer:

150−30=120 papers are still left to do

Step-by-step explanation:

150−30=120 papers are still left to do

at first we should find the equation of this line so we should find a in the equation of y = a x + b and we do not care about b as it is parallel so a = ( (4 -(-2)) ÷ 1 -(-2)) = 2 so y = 2 x + b and we put x = 3 and y = 7 the result is 7 = 2×3 + b and b = 7 - 6 = 1 the equation is y = 2x + 1

No, a fraction is not a term. The distributive property can be applied to fractions because it is a general mathematical principle.

A fraction is not considered a term in the traditional sense. It is a mathematical expression that represents division. However, the distributive property can still be applied to fractions because the property itself is a fundamental rule of arithmetic that extends beyond specific types of expressions.

The distributive property states that for any real numbers a, b, and c:

a × (b + c) = (a × b) + (a × c).

When working with fractions, we can apply the distributive property as follows:

Let's consider the expression: a × (b/c).

We can rewrite this as: (a × b)/c.

Now, let's distribute the 'a' to 'b' and 'c':

(a × b)/c = (a/c) × b.

In this step, we applied the distributive property to the fraction (a/c) by treating it as a whole.

Although fractions represent division, we can still use the distributive property because it is a general mathematical principle that allows for manipulating expressions involving addition, subtraction, multiplication, and division.

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The magnitude of the correlation coefficient indicate the "strength" about the variables.

In the financial and investing industries, correlation is a statistic which indicates the extent that two securities change in relation to one another.

Correlations are employed in advance portfolio management and are calculated as correlation coefficient, that must be between -1.0 and +1.0.

Some key features regrading correlation are-

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Answer:

nonlinear

Step-by-step explanation:

ANSWER:

The volume of the rectangular prism is 4 m^3

STEP-BY-STEP EXPLANATION:

We have that the volume of a rectangular prism is given by the following formula

replacing:

The actual distance between Beitbridge and Musina is 3,900,000 kilometers.

To calculate the actual distance between Beitbridge and Musina, given the scale of the map and the measured distance on the map, we can use the concept of scale.

The scale of the map is given as 1:3,000,000, which means that 1 cm on the map represents 3,000,000 cm in real life.

The measured distance on the map between Beitbridge and Musina is 1.3 cm.

To find the actual distance, we can set up a proportion using the scale:

1 cm on the map / 3,000,000 cm in real life = 1.3 cm on the map / x km in real life.

Simplifying the proportion, we have:

1 / 3,000,000 = 1.3 / x.

Cross-multiplying, we get:

x = (1.3 * 3,000,000) / 1.

x = 3,900,000 / 1.

x = 3,900,000 km.

The actual distance between Beitbridge and Musina is 3,900,000 kilometers.

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Answer:

im not sure but i think its b reconsider and look for other answers

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

If m and n are parallel, then

∠ CBA = ∠ 2 ( alternate angles )

The sum of the 3 angles in a triangle = 180°, thus

∠ 1 + ∠ 2 + ∠ 3 = 180° ( sum of the angles in the triangle )

The probability that a randomly selected athlete uses a stair climber for,

(a) P(X < 18) = 0.2514

(b) P(22 < X < 31) = 0.4332

(c) P(X > 30) = 0.0918

Let X be the amount of time an athlete uses a stair climber. Then, X ~ N(22, 6^2) represents a normal distribution with mean 22 and standard deviation 6.

(a) To find the probability that a randomly selected athlete uses a stair climber for less than 18 minutes, we need to calculate P(X < 18).

Z-score for 18 minutes = (18 - 22) / 6 = -0.67

Using a standard normal table or calculator, we find that P(Z < -0.67) = 0.2514.

Therefore, P(X < 18) = P(Z < -0.67) = 0.2514.

(b) To find the probability that a randomly selected athlete uses a stair climber for between 22 and 31 minutes, we need to calculate P(22 < X < 31).

Z-score for 22 minutes = (22 - 22) / 6 = 0

Z-score for 31 minutes = (31 - 22) / 6 = 1.5

Using a standard normal table or calculator, we find that P(0 < Z < 1.5) = 0.4332.

Therefore, P(22 < X < 31) = P(0 < Z < 1.5) = 0.4332.

(c) To find the probability that a randomly selected athlete uses a stair climber for more than 30 minutes, we need to calculate P(X > 30).

Z-score for 30 minutes = (30 - 22) / 6 = 1.33

Using a standard normal table or calculator, we find that P(Z > 1.33) = 0.0918.

Therefore, P(X > 30) = P(Z > 1.33) = 0.0918.

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The rejection region in a hypothesis test for the proportion of one population is typically located in the tails of the sampling distribution of the sample proportion under the null hypothesis.

In hypothesis testing for the proportion of one population, the null hypothesis assumes that there is no significant difference or effect, while the alternative hypothesis proposes that there is a significant difference or effect. The rejection region represents the values of the test statistic that would lead us to reject the null hypothesis in favor of the alternative hypothesis.

When making a rough sketch of the sampling distribution of the sample proportion under the null hypothesis, it is typically assumed to follow a normal distribution. The shape of the distribution is centered around the null value of the population proportion specified in the null hypothesis. The rejection region is determined based on the significance level chosen for the test. The significance level, often denoted as α, determines the probability of rejecting the null hypothesis when it is actually true.

For a two-tailed test, where we are interested in detecting any significant difference from the null hypothesis in either direction, the rejection region would be divided into two equal tails, each representing α/2. For a one-tailed test, where we are specifically interested in detecting a difference in one direction, the rejection region would be located in one tail, representing the full α. The specific cutoff values for the rejection region depend on the chosen significance level and the distributional assumptions.  

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Answer:

I think it's the last one

Step-by-step explanation:

Answer:

48cm^2

Step-by-step explanation:

base × height=8cm×6cm=48cm^2

Answer:

Area=24cm²

Step-by-step explanation:

\(Solution,\\\\Base(b)=8cm\\\\Height(h)=6cm\\\\Area=\frac{1}{2}* b*h\\\\Area=\frac{1}{2} *8cm*6cm=24cm^{2} .\)

EXPLANATION:

In the exercise we have to perform the sum of two improper fractions which are heterogeneous because they have different denominators.

The procedure is the next: