In triangle RST, if M

Answer:

\(g = 2b-83\)

\(b+g=259\)

Number of boys = 114

Number of girls = 145

Step-by-step explanation:

Let the number of boys in the class = \(b\)

Now, as per question statement,

Number of girls is 83 less than twice the number of boys.

Representing in the form of equation.

Let number of girls = \(g\)

\(g = 2b-83 ....... (1)\)

Also, given that total number of students in the class = 259

i.e. \(b+g=259\)

Putting value of \(g\) using equation (1):

\(\Rightarrow b+2b-83=259\\\Rightarrow 3b-83=259\\\Rightarrow 3b=259+83\\\Rightarrow 3b=342\\\Rightarrow \bold{b=114}\)

So, number of boys, b = 114

Putting value of \(b\) in equation (1) to find the value of \(g\).

\(\Rightarrow g = 2(114)-83 \\\Rightarrow g = 228-83\\\Rightarrow \bold{g = 145}\)

So, number of girls, g = 145.

Hence, the answer is:

Number of boys = 114

Number of girls = 145

The majority of data is between 3.01 to 7.90, when data is represented in dot plot, then the distribution is normal distribution and data set has 5.94 median.

The dot plot is the way of representation of the data. This data is plotted in the form of points or dots over an x-y axis. The dot plot is also known as the strip plot.

The data given in the table is-

3.01, 3.26, 3.26, 3.79, 4.26, 4.34, 5.17, 5.94, 5.94, 5.94, 5.94, 7.14, 7.54, 7.90, 8.03, 9.15, 10.25, 11.98, 12.84, 19.86

The majority of data is between 3.01 to 7.90. The percentage of these data values to total data is 70%.

When data is represented in dot plot, then the distribution is a normal distribution. The data set has the value of median and mode equal to 5.94.

Median=5.94

Mode=5.94

Thus, the majority of data is between 3.01 to 7.90, when data is represented in dot plot, then the distribution is normal distribution and data set has 5.94 median.

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Answer:

please give me free brainiest

Step-by-step explanation:

a / sin (α) = b / sin (β), so. β = arcsin [b * sin (α) / a] =. arcsin [14 in * sin (30°) / 9 in] =. arcsin [7/9] = 51.06°. From the theorem about sum of angles in a triangle, we calculate that γ = 180°- α - β = 180°- 30° - 51.06° = 98.94°. The triangle angle calculator finds the missing angles in triangle.

Step-by-step explanation:

Answer:

6^8

Step-by-step explanation:

(6^2)^3*6^2

= 6^(2*3)*6^2

= 6^6*6^2

= 6^(6+2)

= 6^8

Answer:

251$

Step-by-step explanation:

Let's say x represents Joes's account.

And y represents Chandra.

Since Joses account was 1 more than one half of chandra, the amount for Joes would be x = 1/2*y + 1

Now we can just say y = Chandra's amount.

So x + y = 751

And x = 1/2*y + 1

We have a systems of equation, and just plug in 1/2*y + 1 for x.

1/2*y + 1 + y = 751

1/2*y + y = 750 (subtract both sides by 1)

distribute y so...

y(1/2 + 1) = 750

y = 750/1.5

y = 500

Remember, y is Chandra. So plug in 500 for y in Joses equation, so 1/2(500) +

is 250 +1 so 251.

Answer:

The two angles of ΔABC are equal to the two respective angles of ΔFED. Also, the sum of all interior angles of a triangle is 180º. Therefore, third angle of both triangles will also be equal in measure.

Answer:

The fraction would be 6 or 6/1 because 8-2=6.

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

Answer: The function is (f/g) (x)=2x+9. The domain of f/g is all real numbers except for x=8 because the denominator is 0 when x=8

I just did a test with this question and this was the correct answer

The approximate thickness of the package of aluminum foil with given density and weight is equal to  0.002 millimeters.

1 ft = 30.48 cm

Area of aluminum foil = 50 ft²

                                    = 50 × ( 30.48 )² cm²

                                    = 46451.52 cm²

1 oz = 28.3495 grams

Weight of the aluminum = 9.0 oz

                                        = 255.1455 grams

Density = 2.70 g/cm³

Density = weight / ( area × thickness )

⇒ Thickness = weight / ( area × density )

⇒Thickness = 255.1455 grams / ( 46451.52 cm² × 2.70 g/cm³ )

⇒Thickness = 0.00203

⇒Thickness = 0.002 millimeters

Therefore, approximate thickness of the aluminum foil is equal to 0.002 millimeters.

The above question is incomplete, the complete question is:

A package of aluminum foil contains 50. ft2 of foil, which weighs approximately 9.0 oz . Aluminum has a density of 2.70 g/cm3.What is the approximate thickness of the foil in millimeters?

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Answer:

6x + 11x - 10

Step-by-step explanation:

So in order to solve this expression, we have to distribute the numbers in each set of parenthasis

Step 1 : break down each mini-espression you're solving

(2x+5)(3x-2)

each term is multiplied by both terms in the other set of parenthasis.

(2x · 3x) + (2x · -2) + (5 · 3x) + (5 · -2)

Step 2 : Solve each idividual piece

(2x · 3x) = 6x²

(2x · -2) = -4x

(5 · 3x) = 15x

(5 · -2) = -10

Step 3 : Put it all together amd simplify

6x² - 4x + 15x - 10

6x² + 11x - 10

To create a new resistor with a resistance of 71 Ohms using Play Duh material, you will need to adjust both the length and diameter of the cylinder. The required dimensions are not provided in the question.

The resistance of a cylindrical resistor depends on its length (L), cross-sectional area (A), and the resistivity of the material (ρ). The resistance (R) can be calculated using the formula R = (ρ * L) / A.

In this case, you have a Play Duh cylinder with a length of 15 cm, a diameter of 0.9 cm, and a resistance of 113 Ohms. To achieve a resistance of 71 Ohms, you need to adjust both the length and diameter.

Let's assume the resistivity of the Play Duh material remains constant. If you decrease the resistance, you would need to either decrease the length, increase the cross-sectional area, or do a combination of both. To determine the required dimensions, we need to rearrange the resistance formula.

Rearranging the formula to solve for A: A = (ρ * L) / R.

Now, substituting the values: A = (ρ * 15 cm) / 71 Ohms.

To calculate the new diameter, we can use the formula for the area of a circle: A = π * (d^2) / 4, where d is the diameter.

By rearranging the formula: d = sqrt((4 * A) / π).

Substituting the calculated value of A, you can find the new diameter. Similarly, you can adjust the length to achieve the desired resistance. Whether you have enough Play Duh material or need more depends on the calculations and the change required in both length and diameter.

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Answer:

1) Square

2) Trapezoid

3) Rectangle

4) Parallelogram

Step-by-step explanation:

Quadrilaterals must have exactly 4 sides.

The shapes in a square must have 2 pairs of parallel sides, 4 right angles, and 4 sides of equal length.

The shapes in a trapezoid must have at least one pair of parallel sides. The shapes in Group D must have 2 pairs of parallel sides and 4 sides of equal length.

The shapes in a rectangle must have 2 pairs of parallel sides and 4 right angles.

The shapes in Parallelogram must have exactly 2 pairs of parallel sides.

Answer:

yoooo

Step-by-step explanation:

Answer:

80/8=10

Step-by-step explanation:

To solve the equation \(tan 25^{o} + tan 110^{o} = \frac{-1}{1-tan25^{0}tan110^{o} }\), we first need to simplify the expression on the right-hand side. Using the identity for the tangent of the sum of two angles.

\(tan(25^{o} + 110^{o} ) =\) \(\frac{(tan 25^{0} + tan 110^{0} )}{(1 - tan 25^{0} tan 110^{0} )}\)
Multiplying both sides by the denominator on the right-hand side of the original equation. We can substitute the expression on the left-hand side with the tangent of the sum of two angles:

\(\frac{(tan 25^{o} + tan 110^{o} )}{(1 - tan 25^{o} tan 110^{o} )} =-1\)

\(tan(25^{o} + 110^{o} ) = tan 135^{0} = -1\)
Therefore, the equation simplifies to:

-1=-1
This is a true statement, so the original equation is satisfied. Therefore, the solution to the equation is:

\(tan 25^{o} + tan 110^{o} =\frac{-1}{1-tan 25^{o} tan 110^{o}}\) is true for any values of tan 25∘ and tan 110∘.
To solve the given equation using the given terms, you can use the tangent addition formula:

\(tan(A + B) = \frac{ (tanA + tanB)}{ (1 - tanAtanB)}\)
Here, A = 25° and B = 110°. Plugging in these values, we have:

\(tan(25^{o} + 110^{o} ) = (tan(25^{o} ) + tan(110^{o})) / (1 - tan(25^{o}) tan(110^{o} ))\)
Now, we need to find if \(tan(25^{o} + 110^{o} )\) equals -1:

\(tan(135^{o} ) = \frac{ (tan(25^{o} ) + tan(110^{o} ))}{ (1 - tan(25^{o} )tan(110^{o} ))}\)
As tan(135°) is indeed equal to -1, the given equation is true.

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The slope of the line passing through the given points is 0.4 or 2/5.

From the table given below, we have (2, 23) and (5, 24.3).

Use the slope formula to find the slope of a line given the coordinates of two points on the line. The slope formula is m=(y2-y1)/(x2-x1), or the change in the y-values over the change in the x-values.

Put the points (2, 23) and (5, 24.3) in the slope formula and find the slope.

That is, m=(24.3-23)/(5-2)

=1.3/3

=0.4

=4/10 = 2/5

Put m=2/5 and the coordinate points (2, 23) in y=mx+c.

That is, 23=2/5 (2)+c

⇒23 - 4/5 =c

⇒111/5 = c

⇒ c=22.2

Now, equation is y=0.4m+22.2

Therefore, the slope of the line passing through the given points is 0.4 or 2/5.

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In computer programming, variables are used to store and manipulate data. In this case, an int variable named strawsoncamel has been declared and assigned a value.

To increase the value of strawsoncamel by 1, you can use the increment operator (++). This operator adds 1 to the current value of the variable and assigns the result back to the variable.

For example, if strawsoncamel has a value of 5, the statement strawsoncamel++; would increase its value to 6. This can be useful in many scenarios, such as counting or iterating through a loop. It's important to note that the increment operator can also be used in other ways, such as ++strawsoncamel, which increments the value of the variable before it is used in an expression.

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To increase the value of the variable strawsoncamel by 1, you can use the increment operator "++". So the statement would be:
strawsoncamel++;

This will increment the value of strawsoncamel by 1. The increment operator is an example of an operator in programming, which performs a specific operation on a variable. In this case, it increases the value of the variable by 1, which is also known as an increment.
To increase the value of the integer variable `strawsoncamel` by 1 using the increment operator, follow this step:
Write the statement: `strawsoncamel++;`
This line of code will use the increment operator (`++`) to increase the value of the variable `strawsoncamel` by 1.

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Answer:

$6000

Step-by-step explanation:

annual income = total hours worked x hourly rate

total hours worked = total hours worked per day x total days worked in a year

120 x 4 = 480

480 x 12.50 = $6000

The put option should be worth $8.11 The current stock price of khhnon 8 - solvnson ப6) is $178 Instantaneous rate of return is 6% Instantaneous standard deviation of J.

J's stock is 30%Strike price is $171 Expiration date is 60 days from now The formula for the put option using the Black-Scholes model is given by: C = S.N(d1) - Ke^(-rT).N(d2)

Here,C = price of the put option

S = price of the stock

N(d1) = cumulative probability function of d1

N(d2) = cumulative probability function of d2

K = strike price

T = time to expiration (in years)

t = time to expiration (in days)/365

r = risk-free interest rate

For the given data, S = 178

K = 171

r = 6% or 0.06

T = 60/365

= 0.1644

t = 60N(d2)

= 0.63687

Using Black-Scholes, the price of the put option can be calculated as: C = 178.N(d1) - 171.e^(-0.06 * 0.1644).N(0.63687) The value of d1 can be calculated as:d1 = [ln(S/K) + (r + σ²/2).T]/σ.

√Td1 = [ln(178/171) + (0.06 + 0.30²/2) * 0.1644]/(0.30.√0.1644)d1

= 0.21577

The cumulative probability function of d1, N(d1) = 0.58707 Therefore, C = 178 * 0.58707 - 171 * e^(-0.06 * 0.1644) * 0.63687C = 104.13546 - 96.02259C

= $8.11

Therefore, the put option should be worth $8.11.

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According to 43% of eighth graders, they spend more than an hour a day on social media.

A ratio stated as a fraction of 100 is what is meant by the term %. Students were asked in a poll if they thought they spent more or less time per day on social media.more less , 7th 12 14 , 8th 20 ,26 . The number of students who responded "more" must be divided by the total number of 8th graders polled in order to arrive at the %, which must then be multiplied by 100.

This percentage is the proportion of 8th graders who believe they spend more than an hour each day on social media.Twenty of the forty-six students (20+26) responded "more," or roughly 43.48 percent. As a result, 43% of eighth graders claim to spend more than an hour every day on social media.

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Answer:

250 I think

Step-by-step explanation:

Try 250

SORRY If I am wrong

The 95% confidence interval for the true proportion of all auto accidents involving teenage drivers is approximately (0.1205, 0.1927).

To find the 95% confidence interval for the true proportion of all auto accidents involving teenage drivers, we can use the formula for the confidence interval for a proportion.

The formula for the confidence interval is:

CI = p1 ± Z * √((p1 * (1 - p1)) / n)

Where:

CI is the confidence interval,

p1 is the sample proportion (proportion of accidents involving teenage drivers),

Z is the Z-score corresponding to the desired confidence level (95% confidence level corresponds to Z ≈ 1.96),

n is the sample size (number of accidents checked).

Given:

Number of accidents checked (sample size), n = 582

Number of accidents involving teenage drivers, x = 91

First, we calculate the sample proportion:

p1 = x / n = 91 / 582 ≈ 0.1566

Now we can calculate the confidence interval:

CI = 0.1566 ± 1.96 * √((0.1566 * (1 - 0.1566)) / 582)

Calculating the standard error of the proportion:

SE = √((p1 * (1 - p1)) / n) = √((0.1566 * (1 - 0.1566)) / 582) ≈ 0.0184

Substituting the values into the formula:

CI = 0.1566 ± 1.96 * 0.0184

Calculating the values:

CI = 0.1566 ± 0.0361

Finally, we can simplify the confidence interval:

CI = (0.1205, 0.1927)

Therefore, the 95% confidence interval for the true proportion of all auto accidents involving teenage drivers is approximately (0.1205, 0.1927).

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Answer:

33 minutes

Step-by-step explanation:

Answer:

33 minutes

Step-by-step explanation:

To go from 13:49 to 14:00, that is 11 minutes

To go from 14:00 to 14:22 is 22 minutes

22 + 11 = 33

Hope this helps!

Answer:

(-2,-4)

Step-by-step explanation:

Cant explain but its that one.

Answer:

B. 2.2 kilometers

Step-by-step explanation:

⭐What is the change in the cyclist's elevation?

Thus, we need to solve for the value of the height (x) of the hill.

Notice that the hill is in the shape of a right triangle. In order to find an unknown side length for right triangles, we need to use a trigonometric function.

⭐What is a trigonometric function?

First, let's see what kind of side lengths we are given (opposite, hypotenuse, or adjacent).

We are given a side length of 10km, which is the hypotenuse of the triangle, and we are given a side length of x, which is the opposite of θ (13°).

Therefore, we will use the trigonometric function sin(θ) to solve for x.

Substitute the side lengths and angle measures we are given:

\(sin(13) = \frac{x}{10}\)

Set the equation equal to x:

\(10sin(13) = x\)

Solve for x. I recommend using a scientific calculator (e.g. Desmos Scientific Calculator):

\(2.2 = x\)

∴ The cyclist's change in elevation is 2.2 kilometers.

T-test is commonly used to examine whether two groups are significantly different from each other or not.

A t-test is an inferential statistic used to determine if there is a significant difference between the means of two groups and how they are related. T-tests are used when the data sets follow a normal distribution and have unknown variances, like the data set recorded from flipping a coin 100 times.

It is a statistical test that is used to compare the means of two groups. It is often used in hypothesis testing to determine whether a process or treatment actually has an effect on the population of interest, or whether two groups are different from one another.

T-test is used to determine whether two groups are different or not.

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The T-test is commonly used to examine whether two groups are significantly different from each other or not.

A T-test is used to determine if two groups are different.

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Answer:

B

Step-by-step explanation:

(There  is 2 sides.)

Answer:

$22.5

Step-by-step explanation:

2.5% of 900

0.025(900)= 22.5

Answer:

Top one is A, then false, then C

Step-by-step explanation:

Ez

The situation in which it is safe to employ t-procedures is described by option (c) where both samples are approximately normal.

option (c) is identified as the situation where it is safe to use t-procedures.

t-procedures are appropriate when certain assumptions are met, including the assumption of normality of the population or sample distributions. Option (c) states that both samples are approximately normal, which fulfills this requirement. This means that the data in both samples have a symmetric bell-shaped distribution, allowing t-procedures to be used for hypothesis testing or confidence interval estimation.

Options (a), (b), and (d) describe scenarios where either one or both samples are moderately skewed or contain outliers, which violates the assumption of normality. Skewness and outliers can impact the validity of t-procedures, making them less reliable. Therefore, these options do not fulfill the requirement for safely employing t-procedures.

Option (e) states that it is safe to use t-procedures in more than one of the situations above. However, based on the analysis provided, only option (c) meets the criteria of having both samples approximately normal, making it the only situation where t-procedures can be safely employed.

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