A coach asked her athletes if they enjoy running. Sixty-five percent of the team do not like to run. Of those, 60% enjoy cycling, while 80% of those who enjoy running also enjoy cycling. The tree diagram shows how the athletes are divided into subgroups.

The tree diagram shows athletes branching off into two categories, enjoys running and does not enjoy running. Enjoys running branches off into two sub-categories, enjoys cycling and does not enjoy cycling. Does not enjoy running branches off into two subcategories, enjoys cycling and does not enjoy cycling.

NEED ANSWER ASAP!!! ty!
What is the total percentage of all the athletes who enjoy cycling?

22%
30%
40%
67%

Answer: 257

257 in delta math

Step-by-step explanation:

After 7 years, Riley would $441.5 more have in her account than Ryan.

Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.

Given that Riley invested $5,100 in an account paying an interest rate of \(7\tfrac{3}{4}\)% compounded quarterly. Ryan invested $5,100 in an account paying an interest rate of \(7\tfrac{1}{4}\) % compounded daily, we need to find that after 7 years how much more money would Riley have in her account than Ryan,

\(A = P(1+r/n)^{nt\)

Where A = amount

P = principal

r = rate

n = number of times the amount is compounded and t = time

Riley = compounded quarterly,

\(A = P (1 + r / 4)^{4t\)

\(A = 5100(1+0.019375)^{4(7)}\\\\A = 5100(1.019375)^{28}\\\\\\\)

\(A = 8728.13\)

Therefore, in 7 years Riley has $8728.13.

Ryan = compounded daily,

\(A = P (1 + r / 365)^{365t\)

\(A = 5100(1 + 0.00019)^{356(7)}\\\\A = 5100(1.00019)^{2555}\\\\A = 8286.64\)

Therefore, in 7 years Ryan has $8286.64.

Riley will have $441.5 more.

Hence after 7 years, Riley would $441.5 more have in her account than Ryan.

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In this case, the displacement of the particle at time t is given by ∫ v(t) dt, and the displacement after 120 seconds is given by ∫_0^120 v(t) dt.

The integral of |v(t)| over the time interval [0, 120] gives the total distance traveled by the particle during that time.

Specifically, the value of the integral gives us the difference between the velocity of the particle at time t=120 and its velocity at time t=0.

a) The integral 120 ∫ v(t) dt represents the displacement of the particle from its starting point after 120 seconds, assuming that its initial displacement is zero. This can be seen by the fundamental theorem of calculus, which states that if F(x) is an antiderivative of f(x), then ∫ f(x) dx = F(b) - F(a), where a and b are the limits of integration. In this case, the displacement of the particle at time t is given by ∫ v(t) dt, and the displacement after 120 seconds is given by ∫_0^120 v(t) dt.

b) The integral 120 ∫ |v(t)| dt represents the distance that the particle travels in 120 seconds. This is because |v(t)| represents the magnitude of the velocity, or speed, of the particle at time t, regardless of its direction. Thus, the integral of |v(t)| over the time interval [0, 120] gives the total distance traveled by the particle during that time.

c) The integral 120 ∫ a(t) dt represents the change in velocity of the particle over the time interval [0, 120]. This can be seen by the fundamental theorem of calculus, which tells us that if f(x) is the derivative of g(x), then ∫ f(x) dx = g(x) + C, where C is a constant of integration. In this case, a(t) is the derivative of v(t), so the integral of a(t) over the time interval [0, 120] gives us the change in velocity of the particle during that time. Specifically, the value of the integral gives us the difference between the velocity of the particle at time t=120 and its velocity at time t=0.

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The area of sector RFS is approximately 8π square inches, and the measure of the central angle in radians is approximately 2π/3 radians.

What is the central angle?

A central angle is an angle with endpoints and located on a circle's circumference and a vertex located at the circle's center. A central angle in a circle determines an arc.

To determine the measure of the central angle in radians, we can use the formula:

radians = degrees * (π / 180)

So, for the central angle of 120°:

radians = 120 * (π / 180) = 2 * π / 3

The measure of the central angle in radians is approximately 2 * π / 3 radians.

To find the arc length of RS, we can use the formula:

arc length = (central angle / 360) * circumference

The circumference of the circle is given by 2 * π * r, where r is the radius:

circumference = 2 * π * 4 = 8 * π

So the arc length is:

arc length = (120 / 360) * (8 * π) = 4 * π / 3

The arc length of RS is approximately 4 * π / 3 inches.

To find the area of sector RFS, we can use the formula:

area = (central angle / 360) * π * r²

So the area of sector RFS is:

area = (120 / 360) * π * (4)² = 8 * π

Therefore, The area of sector RFS is approximately 8π square inches, and the measure of the central angle in radians is approximately 2π/3 radians.

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Answer:

Arch length = 8pi/3

Area of sector = 16pi/3

Central angle in radians = 2pi/3

Step-by-step explanation: see picture-

Answer:

No they are not

Step-by-step explanation:

(What grade level is this?)

The function y = 2 superscript x baseline 5 belongs to an exponential family and is denoted as option C.

This is defined as a function whose value is a constant raised to the power of the argument and is denoted as e^{x}

In this case, the constant is denoted as 2 which is raised to the power of x thereby making it an exponential function.

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The next two term is 13 and 16 respectively.

Step-by-step explanation:

here,

a1 = -2

a2 = 1

a3 = 4

a4 = 7

a5 = 10

So, d = a2 - a1 = 1 - (-2) = 3

= a3 - a2 = 4 - 1 = 3

Here, Common difference is same everywhere and the value of d is 3

Then,

To find 6th term of this sequence

a6 = a5 + d

= 10 + 3

a6 = 13

To find 7th term of this sequence

a7 = a6 + d

= 13 + 3

a7 = 16

Thus, The next two term is 13 and 16 respectively.

-TheUnknownScientist

Answer:

It's 3 I think

Make me brainly

Answer:

Area of the circular sidewalk = 405 m²

Step-by-step explanation:

Radius of the circular flower bed = 20 m

Area of the circular bed = πr²

Here r = radius of the circle

Area of the circular bed = π(20)²

                                        = 400π square meter

Radius of the larger circle = Radius of the flower bed + width of the sidewalk

= 20 + 3

= 23 m

Area of the larger circle = π(23)²

                                        = 529π m²

Area of the circular sidewalk = Area of the larger circle - Area of the flower bed

                                         = 529π - 400π

                                         = 129π

                                         = 129(3.14)

                                         = 405.06 square meters

                                         ≈ 405 square meters

Water molecules with a mass of 3.34 * (10 )23 weigh 9.911 grams.

Firstly, you wish to transform the quantity of water molecules you have into the quantity of moles.

Undoubtedly, you are aware

Number of Particles = Mole Ratio x Avogadro's Constant

Avogadro's constant is equal to 3.34 * (10) 23 / 6.02  * (10) 23 when the number of moles is equal to the number of particles.

=0.55

so 0.55 moles

Consequently, mass/molar mass = number of moles.

Since we must determine the mass, we can use the formula Mass = Number of Moles x Molar Mass.

H 2 O's molar mass is calculated as H - 2(1.01) = 2.02 O- 16 18.02

Consequently, 18.02 g/mol is the molar mass.

We now possess the necessary values to determine the mass because of this.

Mass =  0.55 × 18.02

Mass = 9.911

As a result, the 3.34 mass

There are 9.911 grams in 3.34 * (10 )23 water molecules.

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Answer:   x= negative 24/13

Step-by-step explanation:

Answer:

the answer is 4.6 hope this helps

Step-by-step explanation:

Answer:

x=-4

Step-by-step explanation:

-2x+3=11

subtract 3 from both

-2x=8

divide by -2

x=-4

The solution to the equation is x = -4.

To solve the equation -2x + 3 = 11 for 'x,' follow these steps:

Step 1: Subtract 3 from both sides of the equation to isolate the term with 'x':

-2x + 3 - 3 = 11 - 3

-2x = 8

Step 2: Divide both sides by -2 to solve for 'x':

(-2x) / (-2) = 8 / (-2)

x = -4

The solution to the equation is x = -4. To verify, substitute 'x' with -4 in the original equation:

-2(-4) + 3 = 8 + 3

8 + 3 = 11

Since both sides are equal, the value of x = -4 is correct. Therefore, the solution to the equation is x = -4.

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Answer:

Step-by-step explanation:

Answer:

-1080

Step-by-step explanation:

1 min = -12

90 min = 90 * (-12) = - 1080

Answer:

(14, - 3 )

Step-by-step explanation:

Under the translation < 6, 0 >

Add 6 to the x- coordinate and 0 to the y- coordinate, that is

B(8, - 3 ) → B'(8 + 6, - 3 + 0 ) → B'(14, - 3 )

Answer:

The total amount of money Mr. Wong received from dividends is $118 * 2 = $236.

The total value of Mr. Wong's shares before the bonus was 5,000 * $1.60 = $8,000.

The bonus he received was 3.3% of $8,000 = $264.

So, the total amount of money Mr. Wong received from the investment was $236 + $264 + $9,100 = $9,600.

The return on investment for Mr. Wong is the total amount of money he received from the investment divided by the amount of money he initially invested, expressed as a percentage.

So, the return on investment is ($9,600 / $8,000) * 100% = 120%.

Therefore, the return on investment for Mr. Wong is 120%.

The values of the missing sides are;

a.  x = 35. 6 degrees

b. x = 15

c. x = 22. 7 ft

d. x = 31. 7 degrees

To determine the values, we have;

a. Using the tangent identity;

tan x = 5/7

Divide the values

tan x = 0. 7143

x = 35. 6 degrees

b. Using the Pythagorean theorem

x² = 9² + 12²

find the square

x² = 225

x = 15

c. Using the sine identity

sin 29= 11/x

cross multiply the values

x = 11/0. 4848

x = 22. 7 ft

d. sin x = 3.1/5.9

sin x = 0. 5254

x = 31. 7 degrees

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Option b is correct.

The null hypothesis in the chi-square test of hypothesis states that the two categorical variables under consideration are independent of each other, meaning that there is no relationship or association between them.

In the chi-square test of hypothesis, the null hypothesis states that the variables under consideration are independent. That is, there is no relationship between the two variables being studied.

The chi-square test is a statistical method used to determine if two categorical variables are associated or independent. Categorical variables are those that take on values that are categories or labels.

For example, gender (male or female) or educational level (high school, college, graduate school) are categorical variables.

The chi-square test determines the expected frequency of each category based on the null hypothesis, which assumes independence between the two variables.

The observed frequency is then compared to the expected frequency, and if the difference is significant enough, it suggests that the null hypothesis should be rejected, and the two variables are considered to be associated or dependent.

Therefore, in summary, the null hypothesis in the chi-square test of hypothesis states that the two categorical variables under consideration are independent of each other, meaning that there is no relationship or association between them.

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There are 28 ounces of essential oil is needed for 728 ounces of wax.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

There are 8 ounces of essential oil is used for 208 ounces of wax.

Now,

Number of ounces of essential oil is used in 1 ounces of wax;

= 8 ÷ 208

= 8 / 208

= 1 / 26

Thus, For 728 ounces of wax, number of ounces of essential oil is;

= 728 × 1/26

= 728 / 26

= 28

Therefore,

There are 28 ounces of essential oil is needed for 728 ounces of wax.

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The average is around 50 by summing up all the numbers. The average is the same as the median.

Among the given options (25, 40, 50, 60, 75), we can calculate the average by summing up all the numbers and dividing the sum by the total count. Adding the given numbers, we have 25 + 40 + 50 + 60 + 75 = 250. Since there are five numbers, dividing the sum by 5 gives us an average of 50. Therefore, the average is around 50.

To determine the relationship between the average and the median, we need to consider the definition of each. The average, or mean, is calculated by adding up all the numbers in a dataset and dividing by the total count. On the other hand, the median is the middle value of a sorted dataset. If we arrange the given numbers in ascending order, we have 25, 40, 50, 60, 75. The middle value, or median, is 50. Comparing the average of 50 to the median of 50, we find that they are the same. Therefore, the average is the same as the median in this case.

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Abed is correct. It is possible to have a system of two linear equations that has an infinite number of solutions. One of the equations in the system is y.

In a system of linear equations, each equation represents a line on a graph. When we solve the system, we are looking for the point(s) of intersection between the lines. There are three possible scenarios for the solution of a system of linear equations: no solution (the lines are parallel and never intersect), a unique solution (the lines intersect at a single point), or infinite solutions (the lines overlap and coincide with each other).

If Abed has written a system with one of the equations being y, it means that the equation represents a horizontal line parallel to the x-axis. Let's denote this equation as y = k, where k is a constant. Since the equation is horizontal, it does not depend on x and remains the same for all values of x. This means that every point on this line satisfies the equation y = k.

Now, let's consider the second equation in the system. Since the system has an infinite number of solutions, the second equation must coincide with the horizontal line y = k. In other words, the second equation can be any equation of the form y = k', where k' is also a constant.

Since both equations are equivalent and represent the same line, every point on the line satisfies the system of equations. Therefore, the system has an infinite number of solutions.

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Answer:

Rate of change = 2 & Initial value = -1

There is a 0.6543 percent chance that no leak will ever appear in any of the homes.

What do you mean by random variable?
A random variable is a numerical representation of how a statistical experiment turned out. Discrete random variables can only take on a finite number of values or an infinite series of values, but continuous random variables can take on any value within a range on the real number line.

Let X represent the quantity of leak-prone homes in a city.

There is a 0.02 percent chance that a house in an urban location may experience a leak.

A sample of n = 21 homes is chosen at random.

Every home has a distinct chance of developing a leak.

As a result, the random variable X follows a binomial distribution with the parameters p = 0.02 and n = 21.

The likelihood that none of the homes will have a leak should be calculated as follows: The likelihood that none of the homes will experience a leak is therefore 0.6543.

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Answer:

x = ca + ba

Step-by-step explanation:

x/a -b=c

x/a = c+b

x = ca + ba

The correct answer is (a) m < 0.Since line l contains points in quadrants I, II, and IV, but not in quadrant III, we can deduce the following.

Quadrant I: In this quadrant, both x and y coordinates are positive. For a line in quadrant I, the slope (m) must be positive. Quadrant II: In this quadrant, x coordinates are negative, and y coordinates are positive. For a line in quadrant II, the slope (m) must be positive. Quadrant IV: In this quadrant, x coordinates are positive, and y coordinates are negative. For a line in quadrant IV, the slope (m) must be negative.

Based on the observations in all the relevant quadrants, we can conclude that the slope (m) must be both positive and negative, indicating that it can take on both positive and negative values. Therefore, the correct answer is (a) m < 0.

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To find the y-intercept substitute x as 0

\(y = 1 \times {0}^{2} + 7 \times 0 - 5\)

\(y = 1 \times 0 + 0 - 5\)

\(y = 0 + 0 - 5\)

\(y = - 5\)

We know that:

Finding the y-intercept.

In the equation provided, we can see only one constant.

Thus, the y-intercept is -5.

Answer:

I agree sir

Step-by-step explanation:

Answer:

its 9

Step-by-step explanation:

144 ounces to pounds is 9

Answer:

8.75

Step-by-step explanation:

210÷24=8.75, so that's the answer

The correct option is option (b) . The statement that mean of the sampling distribution is same as the population parameters is not true .

Sampling Distribution:

A statistical sampling distribution is a type of probability distribution constructed by drawing a large number of random samples of a specified size from the same population. These distributions are useful for understanding how sample statistics vary from sample to sample. Mean of sampling distribution:

The distribution of the values of the sample mean (x- bar) in replicate samples is called the x -bar sampling distribution.

Central Limit Theorem :

For populations with finite mean μ and finite nonzero variance σₓ, the sampling distribution of the mean approaches a normal distribution with mean μ and variance σₓ/N, and for large N (sample size) become.

distribution is depends on sample size

Hence, the correct option is option (c) which gives the false or not true statement about mean of sampling distribution.

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