A survey showed that 4 out of 5 students own a bicycle. Based on this result, how many of the 800 students in a school own a bicycle? Use any strategy to solve.

The employee's yearly salary is calculated as $37,440 using the arithmetic operations.  

The employee earns $18 per hour and works 40 hours per week. To calculate the weekly salary, we multiply the hourly wage by the number of hours worked:

Weekly salary = Hourly wage × Hours worked per week

Weekly salary = $18/hour × 40 hours/week = $720

Next, to calculate the yearly salary, we use the multiplication operation the weekly salary by the number of weeks in a year:

Yearly salary = Weekly salary × Weeks in a year

Yearly salary = $720/week × 52 weeks/year = $37,440

Therefore, the employee's yearly salary is $37,440. This calculation assumes a 40-hour work week and 52 weeks in a year. It's important to note that this calculation does not account for overtime pay or any other additional benefits or deductions that may affect the employee's total annual income.

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Given the expression:

Let's determine the solution or the value of x.

Step 1: Applying the rule of the Inverse Property of Multiplication, we divide 60 by 12 to get the

value of x.

Therefore, the solution to this expression is x = 5.

Answer:

No

Step-by-step explanation:

Say n was equal to 2

7(2) + 6 =20

13(2) = 26

Answer:

y<1/2+2

Step-by-step explanation:

Answer:

I think the answer is A because I learned about slope last year

The amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.

In the question, we are informed that the triangle KLM, represents a section of a park set aside for picnic tables. We are also informed that the picnic area will take up approximately 400 square yards of the park.

We are asked for the amount of fencing needed to surround the perimeter of the picnic area of the park.

We know the area of a triangle can be found using the trigonometric area formula, Area = (1/2)ab sin C.

Using this in the given triangle KLM, we get:

Area = (1/2)(KL)(KM)(sin K),

or, 400 = (1/2)(KL)(45)(sin 25°),

or, KL = (400*2)/(45*sin 25°) = 800/(45*0.42262) = 800/19.017822 = 42.0658 ≈ 42 yd.

Thus, we get KL = 42 yards.

Now, the perimeter of the picnic area = the perimeter of the triangle KLM = KL + LM + MK = 42 + 20 + 45 yards = 107 yards.

Thus, the amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.

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Answer: b

Step-by-step explanation:

0 degrees Celsius + 0 degrees Celsius = 0 degrees Celsius = 32 degrees Fahrenheit.

To convert Celsius to Fahrenheit, we use the formula:

°F = (°C × 9/5) + 32

Let's calculate the conversion for 0 degrees Celsius:

°F = (0 × 9/5) + 32

°F = 0 + 32

°F = 32

Therefore, 0 degrees Celsius is equal to 32 degrees Fahrenheit.

Now, let's consider the addition of 0 degrees Celsius and 0 degrees Celsius:

0 degrees Celsius + 0 degrees Celsius = 0 + 0 = 0

Since 0 degrees Celsius is equivalent to 32 degrees Fahrenheit, the sum of 0 degrees Celsius and 0 degrees Celsius is 0, not 64 degrees Fahrenheit.

So, 0 degrees Celsius + 0 degrees Celsius = 0 degrees Celsius = 32 degrees Fahrenheit.

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Using a gamma distribution calculator, we find that P(1.8 < X < 2.4) ≈ 0.332.

Gamma distribution:

A gamma distribution is a family of continuous probability distributions characterized by two parameters: a shape parameter (α) and a rate parameter (β).

The gamma distribution is a two-parameter family of continuous probability distributions. The gamma distribution is a two-parameter family of continuous probability distributions. It can be used to model the waiting time for a given number of radioactive decays to occur in a fixed amount of time or the amount of time it takes for a queue to empty out.

Solving for the probability of a given interval for a gamma distribution requires the use of the cumulative distribution function, which cannot be expressed as an elementary function.

Thus, we need to use a mathematical software or calculator with the capability to calculate the gamma distribution to solve this problem.

Using a gamma distribution calculator with the parameters α = 2 and β = 1, we can find that P(1.8 < X < 2.4) ≈ 0.332.

This means that the probability of X being between 1.8 and 2.4 is approximately 0.332 or 33.2%. Therefore, the answer is option (D) 0.33.

The gamma distribution is a two-parameter family of continuous probability distributions. It can be used to model the waiting time for a given number of radioactive decays to occur in a fixed amount of time or the amount of time it takes for a queue to empty out.

It is a versatile distribution that has been used in a wide range of applications, including finance, physics, and engineering.

In summary, to find the probability of a given interval for a gamma distribution, we need to use the cumulative distribution function.

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Answer:

$1105

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4.25%/100 = 0.0425 per year,

then, solving our equation

I = 6500 × 0.0425 × 4 = 1105

I = $ 1,105.00

The simple interest accumulated

on a principal of $ 6,500.00

at a rate of 4.25% per year

for 4 years is $ 1,105.00.

Answer:

B. y = 11x - 7

Step-by-step explanation:

first we find the slope by using the formula

\(m = \frac{y_{2} -y_{1} }{x_{2}-x_{1} }\)

Now let (2,15) be \((x_{1}, y_{1} )\) , and (3, 26) be \((x_{2} , y_{2} )\).  So now the slope is equal too.....

\(m = \frac{y_{2} -y_{1} }{x_{2}-x_{1} }= \frac{26 - 15}{3-2} = \frac{11}{1} = 11\)

Now we use the slope-point form of the equation and obtain the following....

\(y - y_{1} = m(x - x_{1} )\\y - 15 = 11(x - 2)\\y - 15= 11x -22\\y = 11x - 22 + 15\\y = 11x - 7\)

a. Yes, the columns of matrix a are linearly independent if the equation ax = 0 has the trivial solution.

This means that the only solution to the equation is x = 0, which implies that the vectors in the matrix are not linear combinations of each other.

b. No, if s is a linearly dependent set, then each vector is not necessarily a linear combination of the other vectors in s. A linear combination is a combination of two or more vectors where each vector is multiplied by a scalar and then added together.

A linearly dependent set means that one of the vectors can be expressed as a linear combination of the other vectors, but not necessarily all of them.c. No, the columns of any 4 5 matrix are not necessarily linearly dependent.

Linear dependence is determined by the rank of the matrix. If the rank of the matrix is equal to the number of columns, then the columns of the matrix are linearly independent.

However, if the rank of the matrix is less than the number of columns, then the columns of the matrix are linearly dependent.

d. Yes, if x and y are linearly independent, then any linear combination of x and y must equal to zero. This means that the coefficients of x and y must be equal to zero in order for the linear combination to equal zero.

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Complete question:

Determine if the columns of the matrix form a linearly independent set. Justify your answer. Choose the correct answer below. A. The columns of the matrix do form a linearly independent set because the set contains more vectors than there are entries in each vector. B. The columns of the matrix do form a linearly independent set because there are more entries in each vector than there are vectors in the set. C. The columns of the matrix do not form a linearly independent set because the set contains more vectors than there are entries in each vector. D. The columns of the matrix do not form a linearly independent set because there are more entries in each vector than there are vectors in the set.

It will take approximately 39.532 days for $9500 to earn $800 at an annual interest rate of 8.25%.

To find the number of days it will take for $9500 to earn $800 at an annual interest rate of 8.25%, we need to use the formula for simple interest:

Interest = Principal * Rate * Time

In this case, we are given the interest ($800), the principal ($9500), and the annual interest rate (8.25%). We need to solve for time.

Let's denote the time in years as "t". Since we're looking for the number of days, we'll convert the time to a fraction of a year by dividing by 365 (assuming a standard 365-day year).

$800 = $9500 * 0.0825 * (t / 365)

Simplifying the equation:

800 = 9500 * 0.0825 * (t / 365)

Divide both sides by (9500 * 0.0825):

800 / (9500 * 0.0825) = t / 365

Simplify the left side:

800 / (9500 * 0.0825) ≈ 0.1083

Now, solve for t by multiplying both sides by 365:

0.1083 * 365 ≈ t

t ≈ 39.532

Therefore, it will take approximately 39.532 days for $9500 to earn $800 at an annual interest rate of 8.25%.

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The conclusion that is correct in a two-tailed test at α = .05 is There appears to be no difference in the mean occupancy rates.

From the given values:

Thus, the P-value = 0.1791

Interpret results. Since the P-value (0.1791) is greater than the significance level (0.05), we failed to reject the null hypothesis.

From the above test, we do not have sufficient evidence in favor of the claim that there is a difference in the mean occupancy rates.

Thus, option A is correct.

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The net of a triangular prism consists of two triangles and three rectangles.

In the net of a triangular prism, we can observe two types of polygons: triangles and rectangles.

First, let's discuss the triangles.

A triangular prism has two triangular faces, which are congruent to each other.

These triangles are equilateral triangles, meaning they have three equal sides and three equal angles.

Each of these triangles contributes two polygons to the net, one for each face.

Next, we have the rectangles.

A triangular prism has three rectangular faces that connect the corresponding sides of the triangular bases.

These rectangles have opposite sides that are parallel and equal in length.

Each rectangle contributes one polygon to the net, resulting in a total of three rectangles.

To summarize, the net of a triangular prism consists of two equilateral triangles and three rectangles.

The triangles represent the bases of the prism, while the rectangles form the lateral faces connecting the bases.

Altogether, there are five polygons in the net of a triangular prism.

It's important to note that the dimensions of the polygons may vary depending on the specific size and proportions of the triangular prism, but the basic shape and number of polygons remain the same.

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The expected value can be count by using probability, In this case the expected value of the number of wins is 900/19 or 47,368

From the question, we got information of the wheel color and total roulette will be played.
Number of reds balls : 18
Number of black balls : 18
Number of green balls : 2
Total number of balls : 18 + 18 + 2 = 38

Total roulette will be played 100 times

First step, calculate the probability of reds or win would be picked for the roulette. Probability of winning can be calculated by total of reds balls divided by total number of balls:

total number of reds/total number of balls = 18/38 = 9/19

Second step, calculate the expected value of the number of wins. Expected value of the number of wins can be calculated by multiply the probability and total roulette will be played:

probability x total roulette will be played = 9/19 x 100 = 900/19 = 47,368

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Answer:

\(\large \boxed{\mathrm{-1}}\)

Step-by-step explanation:

\(\sqrt[3]{-1}\)

Apply radical rule:

\(\sqrt[n]{-1}=-1\)

If \(n\) is odd.

\(\sqrt[3]{-1}=-1\)

9514 1404 393

Answer:

  5.3

Step-by-step explanation:

The Pythagorean theorem applies. The square of the hypotenuse is equal to the sum of the squares of the other two sides.

  8² = x² + 6²

  64 = x² +36

  28 = x²

  √28 = x ≈ 5.3

The missing measure is 5.3.

_____

Comment on the question

The triangle isn't marked, but we must assume it is a right triangle. If it is not a right triangle, we cannot find the missing measure.

Answer:

Step-by-step explanation:

Answer:  There is a total of 900 seats in the auditorium.

Step-by-step explanation:

there is a formula for this

t - n = a + ( n - 1) d

It is called a Arithmetic Progression.

We use this to find the number of seats in the last row first.

a = initial value, 12

d = common difference for each successive term

n = is the number of terms in the sequence

t - 25 = 12 + (25 -1) * 2

We ignore the left side for now, just solve the right and we get 60.

Now we use the equation,

n / 2 (2a + n -1 * d)

So,

25/2 ( 24 + 24 * d)

The answer is 900

Answer:

Yes, it can.

Step-by-step explanation:

Looking at this table, we can see that each type of hat is ALWAYS next to the same type of flower.

Berets are ALWAYS next to Daffodils.

Panamas are ALWAYS next to Sunflowers.

Cloches are ALWAYS next to Violets.

Bowlers are ALWAYS next to Irises.

Fedoras are ALWAYS next to Narcissuses.

If we assume that every type of FLOWER is a number and every type of HAT is also a number, these will all match up.

So, they are consistent.

This means that the type of flower can be represented as a function of the type of hat.

Hope this helped!

Answer:

No

Step-by-step explanation:

There is not a known causation or correlation between the two variables.

Answer:

x = 5

Step-by-step explanation:

4x - 3(2x - 1) = 7x - 42 ← distribute and simplify left side

4x - 6x + 3 = 7x - 42

- 2x + 3 = 7x - 42 ( subtract 7x from both sides )

- 9x + 3 = - 42 ( subtract 3 from both sides )

- 9x = - 45 ( divide both sides by - 9 )

x = 5

\(Hello\) \(There!\)

Let's do step-by-step explanation!

\(10+(\frac{1}{2})\) \(4\) · \(48\)

Multiply and divide (left and right) \((\frac{1}{2} )\) · \(4\) · \(48: 96\)

\(=10+96\)

Add and subtract (left to right) \(10+96:106\)

Answer:

\(106.\)

Hopefully, this helps you!!

\(Emilychu\)

With reference to the provided circle graph, it is possible to infer the statement "Together, Streetcar and Cable Car are the preferred transportation for 210 residents."

These inferences can be made from the circular graph that is provided:

10% of the sample's 500 San Francisco residents, or 50 people, opt to take the bus for transportation, according to the study. In light of this, it is untrue to say that 20 people prefer to take the bus.

8% of the sample of 500 San Francisco residents who use bicycles as their primary mode of transit do so, or 40 people (or 0.08 x 500). As a result, it is untrue to say that 100 residents favour cycling as a mode of transportation.

15% of the sample's 500 San Francisco residents, or 75 individuals, opt to use a streetcar for transportation. Of the sample of 500 San Francisco residents, 27% (or 0.27 x 500 = 135) favour the cable car as their mode of transportation. For a total of 75 + 135 = 210 residents, streetcar and cable car travel is favoured. As a result, it is accurate to say that "Together, Streetcar and Cable Car are the preferred transportation for 210 residents."

40% of the sample of 500 San Francisco residents, or 200 people, favour walking as their mode of transportation. 15% of the sample's 500 San Francisco residents, or 75 individuals, opt to use a streetcar for transportation. For 200 + 75 = 275 residents, Walk and Streetcar together make up their favoured mode of transportation. The claim that "Walk and Streetcar are the preferred modes of transportation for 55 residents" is untrue.

From the provided circle graph, only the conclusion "Together, Streetcar and Cable Car are the preferred transportation for 210 residents" can be made.

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Answer:

E

Step-by-step explanation:

E is the correct answer

Answer:

The interior angles of a triangle add up to 180 degrees, so Angle E = 70 degrees.

Answer:

-10.08

Step-by-step explanation:

Using order of operations:

\( - 17 + (\frac{ - 2.3 + 8.12}{6} ) \times {4}^{2} - 8.6\)

\( - 17 + \frac{5.82}{6} \times 16 - 8.6\)

\( - 17 + .97 \times 16 - 8.6\)

\( - 17 + 15.52 - 8.6\)

\( - 10.08\)

Answer:

Step-by-step explanation:

(3, 0) (0, 2)

(2-0)/(0-3) = 2/-3= -2/3

y - 0 = -2/3(x - 3)

y = -2/3x + 2

The image of the coordinates after a dilation of (9, −7) by a scale factor of 4 centered at the origin include the following: (36, -28).

In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.

Next, we would have to dilate the coordinates of the preimage (9, -7) by using a scale factor of 4 centered at the origin as follows:

Coordinate A (9, -7) → Coordinate A' (9 × 4, -7 × 4) = Coordinate A' (36, -28).

In conclusion, the coordinates of the image after a dilation are  (36, -28).

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Answer:

$13.76

Step-by-step explanation:

Cost at store A = $29.35

Cost at store B = $32.79

Difference in price at both stores :

Difference = store B - store A

Difference in price = $32.79 - $29.35 = $3.44

Extra cost to f purchasing 4 video games at store B:

Difference in price * number of video games

$3.44 * 4 = $13.76

Answer:

cuatro terminos

Answer:

A) male-42 male+biology-14 biology-34

Step-by-step explanation:

Hope this helps

Have a great day!

We must combine the numerators and denominators together in order to find the product of rational expressions. Here are the facts: The correct option is B

What is rational expressions?

(2/(2x + 3)) * (9/x)

The product of the numerators is 2 * 9 = 18.

The product of the denominators is (2x + 3) * x = 2x^2 + 3x.

Therefore, the product of the rational expressions is:

\(18 / (2x^2 + 3x)\)

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