The subject of the formula below is y. Y=2x-pq
Rearrange the formula to make x the subject

The statement "A graph should have a title describing the topic being presented" is true.

What is a graph?

A graph is a pictorial presentation of data. It is a diagram that displays relationships and comparisons between data points. In data analysis, graphs are essential. They help in summarizing the information in a clear and concise way.What is the importance of the title in a graph? The importance of a title in a graph is to provide a brief idea about the graph. A title helps the reader understand the objective of the graph. The title of the graph describes the topic being presented. It provides a general idea about the graph. The title is the first thing the reader sees when looking at a graph. It enables the reader to understand the purpose of the graph without reading the labels and annotations.

Therefore, it is essential to provide an adequate title for a graph to make it understandable to the audience. Hence, the given statement "A graph should have a title describing the topic being presented" is true.

Learn more about graph title https://brainly.com/question/623226

#SPJ11

You would need to wait approximately 51.33 years from now to grow your initial investment of $39,000 to $174,000 at an interest rate of 10% per year.

To calculate the number of periods (years) required to grow an initial investment to a desired future value, we can use the formula for compound interest:

FV = PV * \((1 + r)^n\)

Where:

FV is the future value

PV is the present value (initial investment)

r is the interest rate per period

n is the number of periods

In this case:

PV = $39,000

FV = $174,000

r = 10% per year

Let's calculate the number of periods (years):

FV = PV * \((1 + r)^n\)

174,000 = 39,000 * \((1 + 0.10)^n\)

Divide both sides by 39,000:

4.4615 = \((1.10)^n\)

Take the logarithm of both sides to solve for n:

log(4.4615) = n * log(1.10)

n ≈ log(4.4615) / log(1.10)

n ≈ 2.1270 / 0.0414

n ≈ 51.33 (rounded to two decimal places)

To learn more about interest click here: https://brainly.com/question/31907854

#SPJ11

Answer:

Step-by-step explanation:

x^2+x-20

=x^2-(5-4)x-20

=x^2-5x+4x-20

=x(x-5)+4(x-5)

=(x-5)(x+4)

therefore the other factor is (x+4)

Answer:

(x - 4)

Step-by-step explanation:

METHOD 1 (Long Division Method):-

[See the attachment for full solution of Method 1]

One factor of x² + x - 20 is already given. To find the other factor , divide the polynomial with the factor and the quotient you'll get after dividing will be the second factor of the polynomial.

METHOD 2 (Factorising) :-

Factorise x² + x - 20.

\(=> x^2 + 5x - 4x - 20\)

\(=> x(x + 5) - 4(x + 5)\)

\(=> (x + 5)(x - 4)\)

(x + 5) & (x - 4) are the factors of x² + x - 20.

A fitness center is interested in finding a 90% confidence interval for the mean number of visits per week that Americans who are members of a fitness club go to their fitness center, a distribution is used.

To compute a confidence interval, a distribution is used. In this case, since the sample size is large (257 members), the distribution used is the standard normal distribution. The formula to calculate the confidence interval is:

Confidence Interval = sample mean ± (critical value) * (standard deviation / √n)

The critical value is determined based on the desired level of confidence. For a 90% confidence level, the critical value corresponds to the 5th percentile and the 95th percentile of the standard normal distribution.

Using the given information, the sample mean is 2.6, the standard deviation is 1.3, and the sample size is 257. Plugging these values into the formula, we can calculate the lower and upper bounds of the confidence interval.

The resulting confidence interval will provide an estimate of the range within which the true population mean number of visits per week is likely to fall, with 90% confidence.

If many groups of 257 randomly selected members are studied, each group will produce a different confidence interval. The true population mean number of visits per week will be contained within a certain percentage of these intervals, which is determined by the chosen confidence level (90% in this case). The remaining percentage of intervals will not contain the true population mean. The exact percentages can be calculated based on the properties of confidence intervals and the concept of coverage probability.

Learn more about mean here:

https://brainly.com/question/31101410

#SPJ11

Answer:

x = 2

Step-by-step explanation:

x^3 = 8

(2)^3 = 8

2 * 2 * 2 = 8

x = 2

Answer:

the value of x is 2

hope it helps

The required value of x for the given equation of line is 3.

The equation of straight line is defined as the y = mx +c or ax + by = c, where y is point on y-axis and x is the point n x-axis, m is slope of the line.

According to given data in the question:

we have,

8x-3y=21-----(1)

And 3x+y=10

multiply 3 both sides

9x+3y=30------(2)

To find the value of x,

Add equation 1 and 2, we get

x = 3

Thus required value of x is 3.

To know more about equation of line visit:

brainly.com/question/21511618

#SPJ9

Answer:

x=1.9

Step-by-step explanation:

\(\frac{x}{4.6} =\frac{4.6}{11}\)

\(11x=21.16\)

\(X=1.9\)

Answer:

If S is some point that lies between R and T, then addition RS and ST should equal RT

y = 4, RS = 27, ST = 17

RS = 6y + 3

ST = 3y + 5

RT = 44

RS + ST = RT

6y + 3 + 3y + 5 = 44

9y + 8 = 44

Combine like terms

9y = 44 - 8

Subtract 8 from both sides of the equation

9y = 36

Divide both sides of the equation by 9

y = 36/9

y = 4

Now substitute the y value in the original equation to find RS and ST

I got 27 and 17 respectively

Step-by-step explanation:

a. i. The probability that during a given week no report of lost ID cards is received is approximately \(e^{(-2.5)\) or about 0.0821.

ii. the probability that during 5 days no report of lost ID cards is received is approximately \(e^{(-1.79)\) or about 0.1666.

iii. \(P(at least 2 reports) = 1 - [(e^{(-2.5)} * 2.5^0) / 0! + (e^{(-2.5)} * 2.5^1) / 1!]\)

b. The probability that a random call made from the booth lasts between 5 and 10 minutes.

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.

a.

(i) To find the probability that during a given week no report of lost ID cards is received, we can use the Poisson distribution with a mean of 2.5. The probability mass function of the Poisson distribution is given by \(P(X=k) = (e^{(-\lambda)} * \lambda^k) / k!\), where λ is the average number of events.

For this case, we want to find P(X=0), where X represents the number of reports received in a week. Plugging in λ=2.5 and k=0 into the formula, we get:

\(P(X=0) = (e^{(-2.5)} * 2.5^0) / 0! = e^{(-2.5)\)

So, the probability that during a given week no report of lost ID cards is received is approximately \(e^{(-2.5)\) or about 0.0821.

(ii) To find the probability that during 5 days no report of lost ID cards is received, we can use the same formula as in part (i), but with a new value for λ. Since the average number of reports in a week is 2.5, the average number of reports in 5 days is (2.5/7) * 5 = 1.79.

Using λ=1.79 and k=0, we can calculate:

\(P(X=0) = (e^{(-1.79)} * 1.79^0) / 0! = e^{(-1.79)\)

So, the probability that during 5 days no report of lost ID cards is received is approximately \(e^{(-1.79)\) or about 0.1666.

(iii) To find the probability that during a week at least 2 reports of lost ID cards are received, we need to calculate the complement of the probability that no report or only one report is received.

P(at least 2 reports) = 1 - P(0 or 1 report)

Using the Poisson distribution formula, we can calculate:

P(0 or 1 report) = P(X=0) + P(X=1) = \((e^{(-2.5)} * 2.5^0) / 0! + (e^{(-2.5)} * 2.5^1) / 1!\)

Therefore,

\(P(at least 2 reports) = 1 - [(e^{(-2.5)} * 2.5^0) / 0! + (e^{(-2.5)} * 2.5^1) / 1!]\)

b. The length of telephone conversation in a booth follows an exponential distribution with an average of 5 minutes. Let's denote this random variable as X.

We want to find the probability that a random call made from this booth lasts between 5 and 10 minutes, i.e., P(5 ≤ X ≤ 10).

Since the exponential distribution is characterized by the parameter λ (which is the reciprocal of the average), we can find λ by taking the reciprocal of the average of 5 minutes, which is λ = 1/5.

The probability density function (pdf) of the exponential distribution is given by f(x) = λ * \(e^{(-\lambda x)\).

Therefore, the probability we want to find is:

P(5 ≤ X ≤ 10) = ∫[5,10] λ * \(e^{(-\lambda x)\) dx

Integrating this expression gives us:

P(5 ≤ X ≤ 10) = \([-e^{(-\lambda x)}]\) from 5 to 10

Plugging in the value of λ = 1/5, we can evaluate the integral:

P(5 ≤ X ≤ 10) = \([-e^{(-(1/5)x)}]\) from 5 to 10

Evaluating this expression gives us the probability that a random call made from the booth lasts between 5 and 10 minutes.

Learn more about probability on:

https://brainly.com/question/13604758

#SPJ4

Answer:

0.45=0.45 so they are either both wrong or both correct

Step-by-step explanation:

both answers are probably correct

Answer:

i think this is the answer

Step-by-step explanation:

g=36°

because it is parallel

f ° =90°-36°

=54°

Por lo tanto, la longitud de la circunferencia con un diámetro de 32 cm sería aproximadamente 100.53 cm.

La fórmula para calcular la longitud de una circunferencia es:

Longitud = π * Diámetro

En este caso, si el diámetro es de 32 cm, podemos calcular la longitud de la siguiente manera:

Longitud = π * 32 cm

El valor de π (pi) es una constante que representa la relación entre la circunferencia de un círculo y su diámetro. Usualmente, se aproxima a 3.14159.

Por lo tanto, la longitud de la circunferencia sería:

Longitud ≈ 3.14159 * 32 cm

Calculando el resultado:

Longitud ≈ 100.53096 cm

Por lo tanto, la longitud de la circunferencia con un diámetro de 32 cm sería aproximadamente 100.53 cm.

Read moe on circumference here https://brainly.com/question/27447563

#SPJ1

Answer:

The answer is 78.5×10^3

Answer:

2/3

Step-by-step explanation:

The answer is simple; the number of non-red marbles over the number of total marbles.

Answer:

Carlos Got more votes.

Step-by-step explanation:

If you do the math and find out what 38% of 150 is then you will have your answer

\(\sf\implies{ \angle RSU + \angle USV = 90 \degree }\)

\(\sf\implies{ (4x-15) + 20 = 90 }\)

\(\sf\implies{ 4x-15+20=90}\)

\(\sf\implies{4x+5=90}\)

\(\sf\implies{4x=90-5}\)

\(\sf\implies{4x=85}\)

\(\sf\implies{x={\dfrac{85}{4}}}\)

\(\sf\implies{ {\orange{\underline{\boxed{\sf{\pmb{x=21.25}}}}}}}\)

Answer

y = 4

Step-by-step explanation:

Given the following equation

-3(y - 3) = -3

Open the parenthesis using distributive

-3 * y - 3*(-3) = -3

-3y + 9 = -3

Substract 9 from both sides

-3y + 9 - 9 = -3 - 9

-3y = -12

-3y/-3 = -12 /-3

y =4

Hence, the value of y = 4

given equation

-3 (y - 3) = -3

   (y - 3) = -3/-3

    (y - 3) = 1

     y - 3 = 1

           y= 1+3

           y = 4

The probability of getting a green marble first and a red marble second exists 5/26.

A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Given: Red marbles = 3

Green marbles = 10

So, the total marbles = 3 + 10 = 13

Probability = Favorable outcomes  / Total outcomes

Since, here replacement is not allowed,

Therefore, the probability of getting a green marble and a red marble

= first red and second green + first green second red

= 3/13 × 10/12+ 10/13 × 3/12

= 2 × 3/13 × 10/12

= 30/78

= 5/13

The probability of getting a green marble first and a red marble second

= 10/13 × 3/12

= 30/156

= 5/26

Therefore, the probability of getting a green marble first and a red marble second exists 5/26.

To learn more about probability refer to:

https://brainly.com/question/13604758

#SPJ4

Answer:

i think it is 262

Step-by-step explanation:

Answer:

-4√5

Step-by-step explanation:

-√5-3√5

-√5(1 + 3)

-4√5

Answer:

omg same!, he just answered one of my questions and then it got deleted. I think he is like some type of hacker/bot thing id.k??

Answer:

7040

Step-by-step explanation:

first find how many are in 1 mile by doing 5280/3 to get 1760.

second multiply 1760x4 to get 7040

If 1 yard = 3 feet and 1 mile = 5,280 feet, then there are 7,040 yards in 4 miles.

To convert miles to yards, we can use the given conversion factors:

1 mile = 5,280 feet

1 yard = 3 feet

We need to find how many yards are there in 4 miles.

Convert 4 miles to feet using the conversion factor:

4 miles × 5,280 feet/mile

= 21,120 feet

Now, Convert the 21,120 feet to yards using the yard-to-feet conversion factor:

21,120 feet / 3 feet/yard

= 7,040 yards

Therefore, there are 7,040 yards in 4 miles.

To learn more on Conversion factor click:

https://brainly.com/question/32020768

#SPJ6

The exact value of the expression arcsin[sin(9π/4)] is π/4 or 45°.

Step-by-step explanation:

We know that the range of the arcsine function is from -π/2 to π/2.

Now, let's evaluate sin(9π/4). Since one full rotation is equal to 2π radians, we can subtract 2π radians from 9π/4 until we get an angle between 0 and 2π.

9π/4 - 2π = π/4

So, sin(9π/4) is equal to sin(π/4).

Now, we know that sin(π/4) = 1/√2.

Therefore, we can evaluate the given expression as:

arcsin[sin(9π/4)] = arcsin[sin(π/4)]

= arcsin[1/√2]

The arcsine of 1/√2 is equal to π/4 or 45°, since the sine is positive in the first and second quadrants.

Hence, the exact value of the expression arcsin[sin(9π/4)] is π/4 or 45°.

To learn more about arcsine function visit:https://brainly.com/question/1658915

#SPJ11

Perimeter of rectangular dog run is 32.34 units.

Given,

Vertices  of rectangular dog run are  \((2\frac{1}{3},7\frac{1}{2} ), (12,7\frac{1}{2}), (12,1), (2\frac{1}{3},1 )\)

Let

\(A=(2\frac{1}{3},7\frac{1}{2} )=(\frac{7}{3} , \frac{15}{2} } )\\ \\B=(12,7\frac{1}{2})=(12,\frac{15}{2} )\\\\ C=(12,1)\\ \\D=(2\frac{1}{3},1 )=(\frac{7}{3},1)\)

A, B,C and D be the vertices of the rectangular dog run as shown in figure.

In rectangle opposite sides are equal. thus, AB=CD and BC=AD

In this rectangle, AB is length and BC is width.

To find distance of  AB and BC use formula,

\(Distance=\sqrt{(x2-x1)^2+(y2-y1)^2}\)

\(AB=\sqrt{(12-\frac{7}{3} )^2+(\frac{15}{2}-\frac{15}{2} )^2} = \sqrt{(\frac{36-7}{3} )^2} =\frac{29}{3}= 9.67\)\(Bc=\sqrt{(12-12 )^2+(1-\frac{15}{2} )^2} = \sqrt{(\frac{2-15}{2} )^2} =\sqrt{(\frac{-13}{2})^2} = 6.5\)

To find perimeter of rectangular dog run use formula,

\(Perimeter =2(Length + Width)\\\\Perimeter =2(AB+BC)\\\\Perimeter =2(9.67+6.5)\\\\Perimeter=2(16.17)\\\\Perimeter=32.34\)

Hence, perimeter of rectangular dog run is 32.34 units.

To learn more about perimeter of rectangle refer here

brainly.com/question/14658657

#SPJ9

Answer:

x^2-x^2=BC4

oh yeaa u know im right

Given:

To express v in terms of d, g, t, and c, take the following steps:

Step 1:

Subtract c from both sides

Step 2:

Divide through by t:

Step 3:

Add gt to both sides

Therefore, the expression of v in terms of d, g, and c is:

ANSWER:

Answer:

The formula for area of a parallelogram is A=bh

x=10.3

Step-by-step explanation:

We don't have the base but we have the height.

the base is x and the height is 5

if the area is 51.5

we should divide the height to find the base.

51.5÷5=10.3

so the base is 10.3

Check if answer is correct:

b=10.3

h=5

a= 51.5

10.3(5)=51.5

a= 51.5cm²

I hope this helps as long as you know the formula it's easy :D

Answer: 8.4 * 10^6

Step-by-step explanation:

Hope this helps^^