There are 20 kids For every 2 girls there are 3 boys. How many are girls?

Answer:

1452.9

Step-by-step explanation:

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Here's the solution :

1. The given figure is of a Rectangle, and we know that diagnonals of a Rectangle bisects each other.

so, PR = 2 × PT

that is :

and both the diagnonals of a Rectangle are equal,

2. let's take the length of PQ = x and QR = y

Angle RPS = Angle PRQ = 60°

(because they form pair of Alternate Interior angles, which are equal)

By using trigonometry :

similarly,

And now, we know that area of triangle PQR is equal to :

3. Area of Rectangle PQRS :

To answer this problem we have to remember that the break even point occur where the revenue function and the cost function have the same value.

Then, this happens when

Pluggin the expressions of our functions and solving for x we have:

Therefore the break even point occurs when x=74000. In this points both functions have value

The smallest sample size that will result in a margin of error of no more than 5% for a 95% confidence interval is given as follows:

385.

A confidence interval of proportions has the bounds given by the rule presented as follows:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which the variables used to calculated these bounds are listed as follows:

The margin of error is modeled as follows:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.95}{2} = 0.975\), so the critical value is z = 1.96.

We have no estimate, hence we consider that:

\(\pi = 0.5\)

The minimum sample size is obtained as n when M = 0.05, hence:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(0.05 = 1.96\sqrt{\frac{0.5(0.5)}{n}}\)

\(0.05\sqrt{n} = 1.96 \times 0.5\)

\(\sqrt{n} = 1.96 \times 10\) (0.5/0.05 = 10).

\((\sqrt{n})^2 = (1.96 \times 10)^2\)

n = 384.16

Hence rounded to 385, as a sample size of 384 would have a margin of error slightly above 0.05.

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The seasonal problem may be predicted using the difference between actual sales and the trend portion of the sales as given by the equation: \(Ft 40-6.5t+2t².\)

Solving the given equation: \(Ft = 40 - 6.5t + 2t²\)Hence, the trend portion of quarterly sales of condominiums over a long cycle is given by the equation\(Ft = 40 - 6.5t + 2t²\) where t is time in quarters (Q1 1981 is t=1, Q2 1981 is t=2, Q3 1981 is t=3, etc.)

Given that sales exhibit seasonal variations, the seasonal problem may be predicted using the difference between actual sales and the trend portion of the sales as given by the equation Ft = 40 - 6.5t + 2t².

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Answer:

\(\frac{2}{4}\) or \(\frac{1}{2}\)

Step-by-step explanation:

When each time a coin is flipped, there are two possible outcomes.

The chance for either heads or tails being chosen is one half.

Thus, the number of times the coin can be flipped and land on heads or tails is \(\frac{1}{2}\).

Hope it helped!

Answer:

C

Step-by-step explanation:

Because the quadruple x is equal to 9

Answer: For 7 this is how to graph it

Answer:

C

Step-by-step explanation:

The phrase r2h is one that can be utilised in order to provide an approximation of the cylinder's volume. In this expression, r stands for the radius of the base, h stands for the height of the cylinder, and stands for the mathematical constant pi.

The volume of a cylinder can be determined by multiplying the area of the base by the height of the cylinder. In this particular instance, the base of the cylinder is a circle. The mathematical expression for calculating the area of a circle is r2, where is approximately equal to 3.14159 and r is the circle's radius. Since we know the radius of the base to be 4 inches, the area of the cylinder's base can be calculated using the equation r2, where r is the radius of the base. The approximate volume of the cylinder can be calculated by taking this measurement and multiplying it by the height of the cylinder, which is stated to be 6 inches. Because of this, the phrase r2h can be utilised to calculate an approximation of the volume of the cylinder in the given circumstances.

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Answer:

-1(-4)=-5

Step-by-step explanation:

as h = -1

As per the 95% confidence interval, the true average age of all students in the university is approximately 23 to 24.

Confidence interval

Confidence interval means the interval calculation, obtained from the observed data that holds the actual value of the unknown parameter.

Given,

A random sample of 64 students at a university showed an average age of 23 years and a sample standard deviation of 3 years.

And we need to find the 95% confidence interval for the true average age of all students in the university.

While we looking through the given question we have identified the following,

Number of samples = 64

Average age = 23

Standard deviation = 3

Confidence interval = 95%

Based on this confidence interval, the z score is 1.96

According to the formula,

u = 23 ± 1.96 x 3/√64

u = 23  ± 1.96 x (3/8)

u = 23  ± 1.96 x 0.375

u = 23  ± 0.735

u = 23.735, 22.635

Therefore, the average age of the student is approximately 23 to 24.

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Answer:

I would say ask him out, if not she'll continue to wonder if he was ever going to be a great relationship or just a short relationship. it's also a good way to experience dating!

Step-by-step explanation:

hope this HELPS her out!

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The expressions which are having common denominator 24 are

13/24  +  7/12 , 1/8  -  5/3 and for 10 are 5 - 7/10 , 3/2 -  4/5 and for 12 are

7/6  -  5/12, -3/4 - 2/3.

What is Algebraic expression ?

Algebraic expression can be defined as the combination of variables and constants.

Given ,

So given expressions are,

13/24  +  7/12   =  13+ 7*2 / 24  = 13+14 / 24 = 27/24

7/6  -  5/12 = 7*2 - 5 / 12  = 14-5/12 = 9/12

-3/4 - 2/3 = - (3/4 + 2/3 ) = - ( 9 + 8 / 12) = -17/12

5 - 7/10  = 5*10 - 7 / 10  =  50 - 7 / 10 = 43/10

1/8  -  5/3   = 3 - 8*5 / 24  = 3-40 / 24 = -37 / 24

3/2 -  4/5 = 3*5 - 2*4 / 10  = 15-8 / 10  = 7/10

Therefore, The expressions which are having common denominator 24 are 13/24  +  7/12 , 1/8  -  5/3 and for 10 are 5 - 7/10 , 3/2 -  4/5 and for 12 are 7/6  -  5/12, -3/4 - 2/3.

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SHDHSB SSHD EUDXD EJDJXJEX SJDJWIDIJDWN SSHWIJJSJ

Step-by-step explanation:

XJDUXIDB DUDUU

The two statements that are true about the company's Market share going from 50 to 65 percent of the total market . The initial market share and multiply by 100, which gives 30 percent. Option B is correct answer.

The two statements that are true about the company's market share going from 50 to 65 percent of the total market are:

The company's market share increased by 30 percent: The difference between the initial market share of 50 percent and the final market share of 65 percent is 15 percentage points. To calculate the percentage increase, we can divide the difference by the initial market share and multiply by 100, which gives (15/50) x 100 = 30 percent.

The company's relative market position improved: With a market share of 65 percent, the company now holds a greater proportion of the total market than before. This means that its relative market position has improved compared to its competitors, who have a smaller share of the market. This could translate into increased bargaining power, profitability, and other benefits for the company.

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a company’s market share went from 50 to 65 percent of the total market. of the following choices, which two statements about the company's market shares are true?
A) 40

B) 30

C) 35

D) 45

The probability that amaya rolls a greater number than bo is 5/12.

What is probability?

The number of rolls where Amaya's roll is greater than Bo's  is

5  +  4  +  3  +  2   + 1  =  15

Number of amaya's is greater (A) = 15

Total number of possible outcomes (S) = 36

The probability that amaya rolls a greater number than bo = n(A)/ n(S)

P(A) = n(A) / n(S)

= 15 / 36  

= 5  / 12

Hence, the probability that amaya rolls a greater number than bo is 5/12.

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Answer:

3/1

Step-by-step explanation:

3/1 is also equal to 3. 3 is a counting/whole number, so it Is not Rational.

Answer:

is A. -16

Step-by-step explanation:

Answer: A. -16

Step-by-step explanation: −7+−9

−16

Because since its the same sign you keep it and add it.

Answer:

20

Step-by-step explanation:

20 - 14= 6

6 * -3= -18

The equation is: G = -⁵/₄t + 15

The slope of the function represents that ⁵/₄ gallons of gas is consumed to drive the car for one hour.

The formula for the equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

From the graph, we see that:

y-intercept = 15 gallons

Now, the slope is gotten from the formula:

Slope = (y₂ - y₁)/(x₂ - x₁)

Slope = (10 - 5)/(4 - 8)

Slope = -⁵/₄

Thus, equation is:

G = -⁵/₄t + 15

The slope of the function represents that ⁵/₄ gallons of gas is consumed to drive the car for one hour.

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The target population is the population of interest that researchers aim to generalize their findings to.

The correct answer is c. sample.

In a research study, the population of interest is often too large or too difficult to access entirely. Therefore, researchers select a representative subset of the population to study, which is called a sample. In this case, patients with inflammatory bowel disease are the population of interest, and those who participate in the study are the sample.

The accessible population refers to the portion of the population that is accessible to the researcher. For example, if a researcher is studying the prevalence of a disease in a certain region, the accessible population would be the individuals living in that region.

An element refers to a single member of the population or sample.

The target population is the population of interest that researchers aim to generalize their findings to.

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Answer:

1.6

i think

Step-by-step explanation:

Answer:

1.6

Step-by-step explanation:

1.6

1.625

2 is closer to 0 than 10

The cost of the dinner without tax or tip is  $22.              

Given,

The sales tax on meals = 10%

Tip she leaved before sales tax is added = 15%

The total amount for dinner = $27.50

We have to find the cost of dinner without adding tax or tip;

Let cost of meals be x.

Then,

She pays 10% of x as a sales tax

So that brings the total up to 100% + 10% = 110%

Before paying, she pays 15% on x as her tip. The tax does not touch the tip.

So that brings the total up to 100% + 10% + 15% = 125% of this is based on x, the cost of the meal.

So 125% of x = 27.50                        

125/100 * x = 27.50                          

125/100 * 100/125x = 100/125 * 27.50

x = 100/125 * 27.50                    

x = 2750 / 125 = 22

That is, the cost of the dinner without tax or tip is  $22.              

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▹ Answer

You can use a graphing calculator.

▹ Step-by-Step Explanation

Attached is a screenshot.

Hope this helps!

CloutAnswers ❁

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Answer:

See explanation and picture attached

Step-by-step explanation:

We can break down this expression into it's core components:

Since the constant here is -4, the y intercept is -4.

Since the value we are multiplying x by is \(\frac{2}{3}\), the slope is  \(\frac{2}{3}\). This means for every time we go horizontal 3 units, the line increases by 2.

The graph is attached.

Hope this helped!

Answer:

B

Step-by-step explanation:

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

g(x) is f(x) shifted 3 units right and 1 unit up , then

g(x) = (x - 3)² + 1 → B

Answer:

The equation of the blue graph is \(g(x)=(x-3)^{2} +1\). Below is the explanation

Step-by-step explanation:

Given:

   The graph of f(x)=\(x^{2}\)

To find:

    The equation of the transformed graph g(x).

The red graph f(x) is moved right 3 units and up 1 unit to get g(x).

When graph is moved right 3 units , 3 should be subtracted with x.

When graph is moved up 1 unit, 1 is added at the end.

So, our g(x)=\((x-3)^{2} +1\)

The equation of the blue graph is \(g(x)=(x-3)^{2} +1\)

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In a case whereby the slide part of a water slide is 89 feet long and makes a 42 angle of depression with the ground, the lenght or how high up in the air  is 73.6 feet

We know that the length of the slide AB is 89 feet, and the angle of depression from A to B is 42 degrees. We want to find the height h of point A above the ground.

The tangent of an angle is defined as the ratio of the opposite side to the adjacent side. In this case, the opposite side is h (the height we're looking for), and the adjacent side is AB (the length of the slide). So we can write base on trigonometery as ;

tan(42) = h / 89

h = 89 * tan(42)

h ≈ 73.6 feet

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