I have a bag containing red, green, blue, and white marbles and the ratio $\text{red}:\text{green}:\text{blue}:\text{white}$ is $2:2:5:7$. I have 304 marbles. How many blue marbles do I have?

Answer:

3/ 10

Step-by-step explanation:

Count of numbers up to 50 = 50

Prime numbers up to 50 :

{2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47}

Count of prime numbers up to 50 = 15

Hence, ratio of prime numbers to all numbers ;

15 : 50

3 / 10

The depth of the water if the speed of the tsunami is 10 m/s is approximately 0.34 meters, or 34 centimeters, given by the equation d = s / (3v).

Speed is the rate at which an object moves through a distance per unit of time. It is often expressed in meters per second (m/s) or kilometers per hour (km/h).

An equation is a mathematical statement that shows that two expressions are equal. It usually contains variables, constants, and mathematical operations, and can be solved to find the value of the variables.

According to the given information:

The equation relating the speed of a tsunami and the depth of the water is s = 3vd, where s is the speed of the wave (in m/s), v is the velocity of gravity (which is approximately 9.8 m/s²), and d is the depth of the water (in meters).

We can rearrange the equation to solve for d, which gives us:

d = s / (3v)

Plugging in the given values, we get:

d = 10 m/s / (3 × 9.8 m/s²)

Simplifying, we get:

d = 10 / 29.4

Therefore, the depth of the water is approximately 0.34 meters, or 34 centimeters.

So, if the speed of the tsunami is 10 m/s, the depth of the water is approximately 0.34 meters.

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If an individual exercises 20 minutes daily, the predicted percentage of body fat would be approximately 21.63%.

To determine the predicted percentage of body fat for an individual who exercises 20 minutes daily, we can use linear regression to estimate the relationship between exercise duration and percentage of body fat.

First, let's calculate the slope and intercept of the regression line:

Mean of Exercise (min):

(10 + 18 + 26 + 33 + 44) / 5 = 22.2

Mean of % Fat:

(30 + 25 + 18 + 17 + 14) / 5 = 20.8

Calculate the deviations from the means for Exercise (min) and % Fat:

Exercise (min) deviations: 10 - 22.2, 18 - 22.2, 26 - 22.2, 33 - 22.2, 44 - 22.2

% Fat deviations: 30 - 20.8, 25 - 20.8, 18 - 20.8, 17 - 20.8, 14 - 20.8

Sum of the product of the deviations:

Σ(Exercise deviation × % Fat deviation) = (10 - 22.2) × (30 - 20.8) + (18 - 22.2) × (25 - 20.8) + (26 - 22.2) × (18 - 20.8) + (33 - 22.2) × (17 - 20.8) + (44 - 22.2) × (14 - 20.8)

Sum of Exercise (min) deviations squared:

Σ(Exercise deviation²) = (10 - 22.2)² + (18 - 22.2)² + (26 - 22.2)² + (33 - 22.2)² + (44 - 22.2)²

Calculate the slope (b):

b = Σ(Exercise deviation × % Fat deviation) / Σ(Exercise deviation²)

Calculate the intercept (a):

a = mean of % Fat - (slope × mean of Exercise)

Now we can substitute the given exercise duration of 20 minutes into the equation to find the predicted percentage of body fat:

Predicted % Fat = a + (b × 20)

Let's calculate these values:

Exercise deviations: -12.2, -4.2, 3.8, 10.8, 21.8

% Fat deviations: 9.2, 4.2, -2.8, -3.8, -6.8

Σ(Exercise deviation × % Fat deviation) = (-12.2 × 9.2) + (-4.2 × 4.2) + (3.8 × -2.8) + (10.8 × -3.8) + (21.8 × -6.8) = -305.24

Σ(Exercise deviation²) = (-12.2)² + (-4.2)² + (3.8)² + (10.8)² + (21.8)² = 1154.68

b = (-305.24) / 1154.68 ≈ -0.2648

Mean of Exercise (min) = 22.2

Mean of % Fat = 20.8

a = 20.8 - (-0.2648 × 22.2) ≈ 26.9496

Predicted % Fat = 26.9496 + (-0.2648 ² 20) ≈ 21.63

Therefore, if an individual exercises 20 minutes daily, the predicted percentage of body fat would be approximately 21.63%.

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Complete question =

A researcher collects data on the relationship between the amount of daily exercise an individual gets and the percent body fat of the individual. The following scores are recorded.

Individual: 1, 2, 3, 4, 5

Excercise (min): 10, 18, 26, 33, 44

% Fat: 30, 25, 18, 17, 14

Based on the above data, if an individual exercises 20 minutes daily, his predicted % body fat would be ?

21.63

27.74

27.88

23.75

Answer:

Triangle L'M'N' is an enlargement of triangle LMN

Gross margin is calculated by subtracting the cost of goods sold from the total revenue.

To understand this calculation more comprehensively, let's break it down:

1. Total Revenue: Total revenue represents the total amount of money generated from the sales of goods or services.

It includes the selling price of the products or services and any additional income related to sales, such as shipping charges or discounts.

2. Cost of Goods Sold (COGS): Cost of Goods Sold refers to the direct costs incurred in producing or acquiring the goods that were sold.

It includes expenses such as the cost of raw materials, manufacturing costs, labor costs directly associated with production, and any other expenses directly tied to the production of goods.

By subtracting the COGS from the total revenue, we arrive at the gross margin, which represents the amount of money remaining after accounting for the direct costs associated with the production or acquisition of the goods sold.

Gross margin reflects the profitability of the core business operations before considering other indirect expenses such as overhead costs, marketing expenses, or administrative costs.

The formula for calculating gross margin can be represented as follows:

Gross Margin = Total Revenue - Cost of Goods Sold

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Answer:

57.12 cm²

Step-by-step explanation:

The given dimensions of the hexagon are;

The side length of the hexagon, s = 5 cm

The distance across flats = 8 cm

The distance across corners = 9.28 cm

The area of a regular hexagon, 'A', is given as follows;

\(A = \dfrac{3 \cdot \sqrt{3} }{2} \cdot s^2= \dfrac{1}{2} \cdot P \cdot a = 3\cdot s\cdot h\)

Where;

a = The side length of the hexagon

P = The perimeter of the hexagon

h = The height of one of the triangles in the hexagon

However with the given dimensions, the area of the hexagon can be found by finding the sum of the areas of the triangles that make up the rectangle

A₁ = A₃ = A₄ = A₆ = (1/2) × 4.64 cm × 4 cm = 9.28 cm²

A₂ = A₅ = (1/2) × 5 cm × 4 cm = 10 cm₂

The area of the hexagon, A = A₁ + A₃+ A₄ + A₆ + A₂ + A₅ = 4 × A₁ + 2 × A₂

∴ A = 4 × 9.28 cm² + 2 × 10 cm² = 57.12 cm²

2 × (5×4/2 + 2×9.28/4×4) = 57.12 cm²

The area of the hexagon, A = 57.12 cm²

Answer:

8

Step-by-step explanation:

The biggest common factor number is the GCF number. So the Greatest Common Factor 16, 24, 48 is 8.

please make my answer as brainelist

Answer: Let's assume the cost of 1 kilogram of bananas is represented by 'x'.

According to the given information, 4.5 kg of bananas and 3.5 kg of apples together cost £6.75. We also know that the cost of 1 kg of apples is £5.40.

Using this information, we can set up the following equation:

4.5x + 3.5(£5.40) = £6.75

Now let's solve for 'x':

4.5x + 3.5(£5.40) = £6.75

4.5x + £18.90 = £6.75

4.5x = £6.75 - £18.90

4.5x = -£12.15

x = (-£12.15) / 4.5

x ≈ -£2.70

The cost of 1 kilogram of bananas, based on this calculation, is approximately -£2.70. However, it's important to note that a negative cost doesn't make sense in this context. It's possible there may be an error in the given information or the setup of the equation.

C. Draw a number line that spans all the values in the data set. Enclose the values from the lower to upper quartile in a box. Draw a vertical line through the box at the median. Add "whiskers" extending to the low and high values.

Draw a number line that spans all the values in the data set. Enclose the values from the lower to upper quartile in a box. Draw a vertical line through the box at the median. Add "whiskers" extending to the low and high values. Quartiles are three values ​​that divide the statistical data into four parts, each containing the same observation. A quarter is a type of quantity. First quartile: Also called Q1 or lower quartile. Second quartile: Also called Q2 or median. Third quarter: Also called Q3 or upper quarter.

Quartiles are values ​​that divide a list of numeric data into quarters. The three-quarter median measures the center of the distribution and shows the data near the center. The lower half of the quartile represents only half of the dataset below the median, and the upper half represents the remaining half above the median. In summary, quartiles describe the distribution or distribution of a data set.

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Answer:

\( \frac{3}{2} \)

Step-by-step explanation:

Since the given line is in the slope- intercept form, its gradient can be seen from the coefficient of x, which is -2/3.

The product of the slopes of perpendicular lines is -1.

Let the slope of the line be m.

\(m( - \frac{2}{3} ) = - 1\)

\( m = - 1 \div ( - \frac{2}{3} )\)

\(m = - 1 \times ( - \frac{3}{2} )\)

\(m = \frac{3}{2} \)

Thus the slope of the line is 3/2.

Table B lists all the different ways Harry can get to Hogwarts and back. See the attached tables.

One mus tnote that both tables detail all of the alternative routes Harry can take to and from Hogwarts, however Table B is the only one that lists all of the different modes of transportation.

Table B includes all of the potential scenarios in which Harry can use the Knight Bus, Flying Car, or Hogwarts Express to and from Hogwarts, including situations in which he uses the same form of transportation both times. Table A, on the other hand, simply covers transit combinations, not all conceivable outcomes. So it is correct to state that as a result, Table B is the right solution.

See attached tables.

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Answer:

I hope this helps

Ex: vertical translation |x+5|-2 the graph will shift down 2 units. Or the same as (x+5)+2 in this case the graph will shift up 2 units.

Horizontal translation |x+5|-2 the graph will shift to the left 5 units. Or same as (x-5)-2 in this case the graph will shift over to the right 5 units.

Step-by-step explanation:

Vertical translation is when a graph is being shifted up or down.

Horizontal translation is when a graph is being shifted over left or right.

Summary:

To find the amount of salt in the tank at any time prior to overflowing and the concentration of salt when the tank is on the point of overflowing,

Let t be the time in minutes and S(t) be the amount of salt in the tank at time t. The rate of change of salt in the tank is given by the difference between the rate at which saltwater enters and the rate at which the mixture flows out. The rate at which saltwater enters the tank is 3 gallons per minute with a salt concentration of 1 pound per gallon, so the rate of salt entering is 3 pounds per minute. The rate at which the mixture flows out is 2 gallons per minute, which is equivalent to the rate at which the saltwater mixture flows out.

Using the principle of conservation of mass, we can set up the following differential equation: dS/dt = (3 lb/min) - (2 gal/min) * (S(t)/500 gal), where S(t)/500 represents the concentration of salt in the tank at time t. This differential equation can be solved to find the function S(t).

To find the concentration of salt in the tank when it is on the point of overflowing, we need to determine the time t at which the tank is full. This occurs when the volume of water in the tank reaches its capacity of 500 gallons. At that point, we can calculate the concentration of salt, S(t)/500, to find the concentration in pounds per gallon.

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Answer:

The equation of the line with a slope of 1/5 that passes through the point (10,9) is:

Step-by-step explanation:

Given

Slope = m = 1/5

Point (10, 9)

To Determine

An equation of the line with a slope of 1/5 that passes through the point (10,9).

We know that the point-slope form of the line equation is

\(y-y_1=m\left(x-x_1\right)\)

where

substituting the values m = 1/5 and the point (10, 9) in the equation

\(y-y_1=m\left(x-x_1\right)\)

\(y-9=\frac{1}{5}\left(x-10\right)\)

Add 9 to both sides

\(y-9+9=\frac{1}{5}\left(x-10\right)+9\)

\(y=\frac{1}{5}x-2+9\)

\(y=\frac{1}{5}x+7\)

Therefore, the equation of the line with a slope of 1/5 that passes through the point (10,9) is:

They will pay You $5368709.12 on the 30th day

What does the term "compound interest" mean?

Compound interest is when you receive interest on both your interest income and your savings.

You start with a one cent.

You have $0.01 x 2 the following day.

You have $0.01 x 2 x 2 the following day.

and so forth

You will have $0.01 x 2^n-1 on day n.

This means that on the 30th day, you have $0.01 x 2^29 = $5 368 709.12.

That is compound interest at work! It equates to daily payments of 100% interest. It immediately soars to inconceivable heights with even a penny as your initial investment!

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The given problem statement can be solved by using the z-score formula, that is z = (x - μ)/ σ where x is the value, μ is the mean and σ is the standard deviation of the data set.

For the first part of the problem, we are required to find the probability that a randomly selected education major received a starting salary offer greater than $52,350. The formula to solve for the z-score is shown below:

z = (x - μ)/ σ

z = (52,350 - 46,292)/4,320

z = 1.4

The probability of the salary being greater than $52,350 can be found by using the Z-table or by using the formula P(Z > z) = 1 - P(Z < z). Here, P(Z < 1.4) = 0.9192

Therefore, P(Z > 1.4) = 1 - 0.9192 = 0.0808

For the second part of the problem, we are required to find the probability that a randomly selected education major received a starting salary offer between $45,000 and $52,350.

The formula to solve for the z-scores is shown below:

z1 = (45,000 - 46,292)/4,320z1 = -0.3z2 = (52,350 - 46,292)/4,320z2 = 1.4

The probability of the salary being between $45,000 and $52,350 can be found by using the formula

P(z1 < Z < z2) = P(Z < z2) - P(Z < z1).

Here, P(Z < -0.3) = 0.3821 and P(Z < 1.4) = 0.9192

Therefore, P(-0.3 < Z < 1.4) = 0.9192 - 0.3821 = 0.5371

To find the percentage of education majors that received a starting offer between $38,500 and $45,000, we first need to convert the values to z-scores. The formula to solve for the z-scores is shown below:

z1 = (38,500 - 46,292)/4,320

z1 = -1.8z2 = (45,000 - 46,292)/4,320

z2 = -0.3

The probability of the salary being between $38,500 and $45,000 can be found by using the formula P(z1 < Z < z2) = P(Z < z2) - P(Z < z1). Here, P(Z < -1.8) = 0.0359 and P(Z < -0.3) = 0.3821

Therefore, P(-1.8 < Z < -0.3) = 0.3821 - 0.0359 = 0.3462

Converting this probability to a percentage, we get:0.3462 x 100% = 34.62%

Therefore, the answer is d. 34.62%.

Therefore, the probability that a randomly selected education major received a starting salary offer greater than $52,350 is 0.0808. The probability that a randomly selected education major received a starting salary offer between $45,000 and $52,350 is 0.5371. The percentage of education majors that received a starting offer between $38,500 and $45,000 is 34.62%.Twenty percent of education majors were offered a starting salary less than 41,969.2$.

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Answer:

42.875

Step-by-step explanation:

First you find the x-intercepts and the vertex of the equation.

(-5, 0), (-2, 0), (-3/2, 49/4)

You use those coordinates to find the sides of the triangle and then you use the lengths to find the semiperimeter.

Lastly, you use Heron's formula to compute the area.

The area of the triangle is required.

The area of the triangle is \(42.875\ \text{units}^2\)

\(y=-x^2-3x+10\)

The x intercepts are

\(-x^2-3x+10=0\\\Rightarrow x=\dfrac{-\left(-3\right)\pm \sqrt{\left(-3\right)^2-4\left(-1\right)\times 10}}{2\left(-1\right)}\\\Rightarrow x=-5,2\)

The x intercepts are

\((-5,0),(2,0)\)

Distance between them is

\(2-(-5)=7\ \text{units}\)

Vertex of a parabola is given by

\(x=-\dfrac{b}{2a}\\ =-\dfrac{-3}{2\times -1}\\ =-1.5\)

\(y=-(-1.5)^2-3(-1.5)+10=12.25\)

So,

Base = b = 7 units

Height = h = 12.25 units

Area is

\(A=\dfrac{1}{2}bh\\\Rightarrow A=\dfrac{1}{2}\times 7\times 12.25\\\Rightarrow A=42.875\ \text{units}^2\)

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To land 14,000 meters downrange, the launch angle of the object should be approximately 38.88 degrees.

The horizontal distance traveled by the object is given by:

Range = R = b * t

where b is the coefficient of t in the r(t) equation.

The time taken by the object to reach the maximum height can be found by setting the vertical component of the velocity to zero:

v_y = b - 9.8t = 0

t = b/9.8

The maximum height attained by the object can be found by substituting the value of t in the r(t) equation:

h_max = r(b/9.8) = ab^2/(2 * 9.8)

The range can also be expressed in terms of the launch speed v and the launch angle θ:

R = v^2 * sin(2θ) / g

where g is the acceleration due to gravity.

Equating the two expressions for R, we get:

b * (2 * v^2 / g) * sin(θ) * cos(θ) = v^2 * sin(2θ) / g

tan(θ) = (2 * 4.9 * b) / (500)^2

θ = arctan[(2 * 4.9 * b) / (500)^2]

Substituting the value of b in terms of a, we get:

θ = arctan[(2 * 4.9 * a * tan(θ)) / (500)^2]

Using numerical methods or a graphical approach, we can find that the launch angle that gives a range of 14,000 meters is approximately 38.88 degrees.

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Answer:

no one is equivalent to it

Answer:

She spent 3/4 of her money

Step-by-step explanation:

60/80 is .75, which translates to 3/4.

Answer:

3/4 or 75%

Step-by-step explanation:

60$/80$ = 3/4

Answer:

8

Step-by-step explanation:

2log(x)=log(64)

By logarithms properties

\(xlog_{a}(b)=log_{a}(b^{x} ) \\\)

log(x²)=log(64)

When you have log or ln in both sites, you delete them and...

x²=64

\(\sqrt[]{x^{2} } =\sqrt{64} \\x=8\)

The conversion of a fraction number with denominator 5 and numerator 2 , 2/5 in decimals is equals to the 0.4 value.

A decimal number can be defined as a number whose whole number part and fractional part are separated by a decimal point. Writing 2/5 as a decimal number by converting the denominator to powers of 10. We multiply the numerator and denominator by a number so that the denominator is a power of 10.

2/5 = (2 × 2) / (5 × 2) = 4/10

Now move the decimal point to the left as many places as there are zeros in the denominator, which is a power of 10.

The decimal moved one place to the left because the denominator was 10. Therefore, 4/10 = 0.4. Hence, required value is 0.4.

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Answer:

sorry we can't

Step-by-step explanation:

A ailen maked that thats cazy

Answer: 15

Step-by-step explanation:

when 2 sides have the same angle, it means it's isosceles..

The sample space of outcomes of the given experiment is {r3, r5, s3, s5, t3, t5}

One spinner has three same-sized sectors labeled = r, s and t

A second spinner has two same-sized sectors labeled = 3 and 5

Given that the each spinner is spun once

The sample space is defined as the set of all possible outcomes of the random experiments. Usually the sample space of the random experiment is represented by the letter S.

Here,

The sample spaces are

= {r3, r5, s3, s5, t3, t5}

The total number of outcomes = 6

Therefore, the sample space is {r3, r5, s3, s5, t3, t5}

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PLEASE GIVE ME BRAINLIEST! :)

Answer:

2 cos(θ) + 3 sin(θ) = 6/r

Step-by-step explanation:

To convert the equation 2x + 3y = 6 to polar coordinates, we need to express x and y in terms of r and θ.

Using the fact that x = r cos(θ) and y = r sin(θ), we get:

2(r cos(θ)) + 3(r sin(θ)) = 6

Simplifying this equation, we get:2r cos(θ) + 3r sin(θ) = 6

Dividing both sides by r, we get:2 cos(θ) + 3 sin(θ) = 6/r

This is an equation equivalent to 2x + 3y = 6 in polar coordinates.

Answer:

1 27/100

Step-by-step explanation:

Answer: 9

Step-by-step explanation: sorry if it is wrong

Answer:

0

Step-by-step explanation:

2p - (p + 3) + 3

2(6) - (6 + 3) + 3

12 - (9) + 3

12 - 12 = 0