A sphere and its dimension are shown in the diagram. Which measurement is closest to the volume of the sphere in cubic inches?

The data includes a concave mirror with a radius of curvature of +31.5 cm and magnification of m = 3.40. The formula for magnification is m = v/u, and the focal length is f = r/2. Substituting the values, we get u = v/m, and using the mirror formula, the distance of the object from the mirror is 10.15 cm.

Given data: Radius of curvature of a concave mirror, r = +31.5 cm Magnification produced by the mirror, m = 3.40

We know that the formula for magnification is given by:

m = v/u where, v = the distance of the image from the mirror u = the distance of the object from the mirror We also know that the formula for the focal length of the mirror is given by :

f = r/2where,f = focal length of the mirror

Using the mirror formula:1/f = 1/v - 1/u

We know that a concave mirror has a positive focal length, so we can replace f with r/2.

We can now simplify the equation to get:1/(r/2) = 1/v - 1/u2/r = 1/v - 1/u

Also, from the given data, we have :m = v/u

Substituting the value of v/u in terms of m, we get: u/v = 1/m

So, u = v/m Substituting the value of u in terms of v/m in the previous equation, we get:2/r = 1/v - m/v Substituting the given values of r and m in the above equation, we get:2/31.5 = 1/v - 3.4/v Solving for v, we get: v = 22.6 cm Now that we know the distance of the image from the mirror, we can use the mirror formula to find the distance of the object from the mirror.1/f = 1/v - 1/u

Substituting the given values of r and v, we get:1/(31.5/2) = 1/22.6 - 1/u Solving for u, we get :u = 10.15 cm

Therefore, the distance of the mirror from the face is 10.15 cm. The units are centimeters (cm).Answer: 10.15 cm.

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Answer:

False

Step-by-step explanation:

12+9<20

21≮20

False

Answer:

$30

Step-by-step explanation:

s = shorts

t = tshirts

s + 2t = 60

s + 3t = 75

s + 2t = 60

rewrite

   -2t     -2t

s = 60 - 2t

s + 3t = 75

plug in

(60 - 2t) + 3t = 75

solve

60 - 2t + 3t = 75

60 + t = 75

-60       -60

t = 15

s + 2t = 60

plug in

s + 2(15) = 60

s + 30 = 60

    -30    -30

s = 30

The number of men living in the village is 260.

A collection of many linear equations that include the same variables is referred to as a system of linear equations. A linear equation system is often composed of two or more linear equations with two or more variables.A linear equation with two variables, x and y, has the following general form:

                                           \(ax + by = c\)

Given:

Total inhabitants in the village: 817

Number of children: 241

There are 56 more women than men in the village

Total adults = Total inhabitants - Number of children

Total adults = 817 - 241

Total adults = 576

Let number of men in the village be 'x' and number of women in the village be 'y',

∴ y=x+56 (given) ..................(1)

Also, x+y=576 .................(2)

From equation (1) and (2),

x + (x + 56) = 576

2x + 56 = 576

2x = 576 - 56

2x = 520

x = 520 / 2

x = 260

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Answer:

I think the answer is B. I hoped I helped a little

The correct statement is: "A sample of size 30 is the smallest sample size that will have a sampling distribution that is approximately normal."

According to the central limit theorem, when the sample size is sufficiently large (typically around 30 or greater), the sampling distribution of the sample mean will approach a normal distribution regardless of the shape of the population distribution. This holds even if the population distribution is strongly skewed.

Therefore, in this case, a sample size of 30 is the smallest size that would ensure the sampling distribution of the sample mean is approximately normal, regardless of the right-skewness of the population distribution. Smaller sample sizes, such as a sample size of 10, may still provide useful information, but the sampling distribution may deviate more from a perfect normal distribution.

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Answer:

m=1/4

Step-by-step explanation:

Start by picking two points that are clearly visible on the line: (1, -3) and (-3, -4).

The equation for slope is: m=\(\frac{y_2-y_1}{x_2-x_1}\)

Where \(x_{1}\)=1 \(x_{2}\)=-3 \(y_{1}\)=-3 \(y_{2}\)=-4

m=\(\frac{(-4)-(-3)}{(-3)-1}\)

m=-1/-4

m=1/4

Answer:

-2, B

Step-by-step explanation:

x - ( -4 ) = 2

x + 4 = 2

x = 2 - 4

x = -2

Answer:

-2

Step-by-step explanation:

Let x be the unknown number.  We are subtracting a negative 4

x - (-4)

The result is 2

x - (-4) =2

Subtracting a negative is  like adding

x+4 = 2

Subtract 4 from each side

x+4-4 =2-4

x = -2

The amount owed at the end of that period is given as follows:

$334.

An exponential function is modeled as follows:

y = ab^x.

In which:

For a decreasing exponential function, the rate of change b is given as follows:

b = 1 - r.

In which r is the decay rate.

The parameters for this problem are given as follows:

a = 390, r = 0.05, b = 0.95.

Hence the function giving the amount owed after x months is given as follows:

y = 390(0.95)^x.

After three months, the amount owed is given as follows:

y = 390(0.95)^3

y = $334.

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Answer:

$334.37

Step-by-step explanation:

At the start, Sai owes his mum $390. After the first month, his mum reduces his debt by 5% of $390, which is 0.05 x $390 = $19.50. So at the end of the first month, he owes his mum $390 - $19.50 = $370.50.

After the second month, his mum reduces his debt by 5% of $370.50, which is 0.05 x $370.50 = $18.53. So at the end of the second month, he owes his mum $370.50 - $18.53 = $351.97.

After the third month, his mum reduces his debt by 5% of $351.97, which is 0.05 x $351.97 = $17.60 (rounded to the nearest cent). So at the end of the third month, he owes his mum $351.97 - $17.60 = $334.37.

Therefore, Sai owes his mum $334.37 at the end of three months.

For the random variable x with CDF f(x) the answer of the following are,

a. The pdf should be non-zero only within the range 2 ≤ x < 4 that is

f(x) = 1/2, 2 ≤ x < 4

     = 0, elsewhere

b. P(2/3 < x < 3) = 7/6.

c. P(x > 3.5) =0.

d. 60th percentile = 3.2.

e. P(x = 3) = 0.5.

a. To find the probability density function (pdf) of x,

Differentiate the cumulative distribution function (CDF) with respect to x within the appropriate intervals,

For 2 ≤ x < 4

f(x)

= d/dx [(x - 2)/2]

= 1/2

For x ≥ 4

f(x)

= d/dx [1]

= 0

Since the pdf should be non-zero only within the range 2 ≤ x < 4, we have,

f(x)

= 1/2, 2 ≤ x < 4

= 0, elsewhere

b. To find P(2/3 < x < 3),  integrate the pdf within the given interval.

P(2/3 < x < 3) = \(\int_{2/3}^{3}\) f(x) dx

Since the pdf is constant 1/2 within the interval [2, 4], we have,

P(2/3 < x < 3) = \(\int_{2/3}^{3}\) (1/2) dx

= (1/2) \(\int_{2/3}^{3}\) dx

= (1/2) [x] evaluated from 2/3 to 3

= (1/2) [3 - (2/3)]

= (1/2) [9/3 - 2/3]

= (1/2) [7/3]

= 7/6

Therefore, P(2/3 < x < 3) is equal to 7/6.

c. To find P(x > 3.5), we integrate the pdf from the lower bound of 3.5 to positive infinity,

P(x > 3.5) = \(\int_{3.5}^{\infty}\) f(x) dx

Since the pdf is zero for x ≥ 4, we have:

P(x > 3.5) = \(\int_{3.5}^{\infty}\) f(x) dx

= \(\int_{3.5}^{4}\) 0 dx

= 0

Therefore, P(x > 3.5) is equal to 0.

d. The 60th percentile represents the value x for which the cumulative distribution function (CDF) is equal to 0.6.

0.6 = F(x)

From the given CDF,

0.6 = (x - 2)/2

x - 2 = 1.2

x = 3.2

Therefore, the 60th percentile is 3.2.

e. To find P(x = 3), we need to evaluate the CDF at x = 3,

P(x = 3) = F(3)

From the given CDF,

F(3)

= (3 - 2)/2

= 0.5

Therefore, P(x = 3) is equal to 0.5.

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The above question is incomplete, the complete question is:

let x be a random variable with cdf

f (x)=0, x< 2

     =(x - 2)/2 ,  2 ≤ x < 4

     =1, x ≥ 4

a. find the pdf of x.

b. find p x (2 / 3 < x < 3).

c. find p x( x > 3.5).

d. find the 60th percentile.

e. find p x( x = 3 ).

Answer: Triangle GHI is translated using the rule (x, y) → (x + 5, y) to create triangle G′H′I′. If a line segment is drawn from point G to point G′ and from point H to point H′, which statement would best describe the line segments drawn? They are parallel and congruent. Triangle ABC has been translated to create triangle A′B′C′.

Step-by-step explanation:

Hope this helps!

Answer:

StartFraction one-fourth EndFraction left-parenthesis x right-parenthesis equals x left-parenthesis 30 plus 60 right-parenthesis.(x) = x(30 + 60)

Step-by-step explanation:

The equation that can be used is:

(1/4)*(30 min + 60 min + x) = x

So the correct option is the first one.

We know that Hiroshi spends:

The total time is:

30 min + 60 min + x

And we know that one-fourth of the total time that he studies is spent on math, then we can write:

(1/4)*(30 min + 60 min + x) = x

This is the equation we need to solve.

Solving it gives:

30 min + 60 min + x = 4x

90 min = 3x

(90 min)/3 = x = 30 min.

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Answer:

2.52

Step-by-step explanation:

35 x 7.2 = 2.52 :D

The type of sampling described, where the researchers intentionally select a sample with 50% straight and 50% LGBTQ+ respondents, is known as "disproportionate stratified sampling."

A. Disproportionate stratified sampling involves dividing the population into different groups (strata) based on certain characteristics and then intentionally selecting a different proportion of individuals from each group. In this case, the researchers are dividing the population based on sexual orientation (straight and LGBTQ+) and selecting an equal proportion from each group.

B. Availability sampling (also known as convenience sampling) refers to selecting individuals who are readily available or convenient for the researcher. This type of sampling does not guarantee representative or unbiased results and may introduce bias into the study.

C. Snowball sampling involves starting with a small number of participants who meet certain criteria and then asking them to refer other potential participants who also meet the criteria. This sampling method is often used when the target population is difficult to reach or identify, such as in hidden or marginalized communities.

D. Simple random sampling involves randomly selecting individuals from the population without any specific stratification or deliberate imbalance. Each individual in the population has an equal chance of being selected.

Given the description provided, the sampling method of intentionally selecting 50% straight and 50% LGBTQ+ respondents represents disproportionate stratified sampling.

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By solving a linear equation, it can be calculated that

Floyd sold 37 albums last month

At first it is important to know about linear equation

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A one degree equation is known as linear equation.

Here, a linear equation needs to be solved

Let the number of albums Floyd sold last month be x

He has a record contract that pays him a base rate of $200 a month and an additional $12 for each album that he sells.

Amount of money he earned last month = 200 + 12x

By the problem,

200 + 12x = 644

12x = 644 - 200

12x = 444

\(x = \frac{444}{12}\)

x = 37

Floyd sold 37 albums last month

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Complete Question

Floyd is an aspiring music artist. He has a record contract that pays him a base rate of $200 a month and an additional $12 for each album that he sells. Last month he earned a total of $644.

Write an equation to determine the number of albums (a) Floyd sold last month.

Find the number of albums Floyd sold last month.

Answer:

-350ft

Step-by-step explanation:

so basically 605 is negative and 255 is a negative then you add those two then it would be -860 then you subtract the positive 475 and that will equal -350

Since the given function is

Substitute x by 0, 1, 2, 3, 4 to find f(x), then you can find the correct table

The correct table is the 4th answer

1. SI 2. CI 3. SI 4. SI 5. CI 6. SI 7. CI 8. SI 9. CI 10. CI

When interest is calculated, it is done so using both the principal and the interest that has accumulated over the previous period.

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The answer is (1/3)(md) / n.

Let's analyze the problem step by step.

We are given that m workers can complete a job in d days. This means that the rate at which the workers complete the job is 1 job per (md) days.

Now, we need to find how many days it will take n workers to complete one-third of the job. Since the workers are working at the same rate, the number of days required will be inversely proportional to the number of workers.

Let's assume it takes x days for n workers to complete one-third of the job. In x days, the rate at which n workers complete the job will be 1 job per (nx) days.

According to the given information, the rate at which m workers complete the job is 1 job per (m d) days. Since the rates are equal, we can set up the following equation:

1/(n x) = 1/(m d)

To find x, we can cross-multiply:

n x = m d

Now, we need to find the number of days it will take n workers to complete one-third of the job, which is equivalent to (1/3) of the job.

Therefore, we can rewrite the equation as:

n x = (1/3) (m d)

Simplifying further:

x = (1/3) (m d) / n

Thus, the number of days it will take n workers, working at the same rate, to complete one-third of the job is:

x = (1/3)(md) / n

Therefore, the answer is (1/3)(md) / n.

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The period of the function is 1.57 s.

The amplitude of the function is 6.

The equation of the midline, y = 6 sin 4x + 0.

The general form of a sinusoidal function is y = A sin(Bx - C) + D,

where:

For the given function y = 6 sin 4x, we can see that:

A = 6 (the amplitude is the absolute value of the coefficient of the sine function)

B = 4 (the coefficient of x inside the sine function determines the period)

C = 0 (there is no horizontal shift)

D = 0 (there is no vertical shift, so the midline is the x-axis)

Therefore, the period T is given by:

T = 2π/B = 2π/4 = π/2 = 1.57 s

The midline is the x-axis, so its equation is y = 0.

The amplitude is A = 6.

Therefore, we can write the equation of the function in the general form as:

y = 6 sin 4x + 0

or

y = 6 sin(4x)

Note that since the midline is the x-axis and there is no vertical shift, the sine function will oscillate between -6 and 6.

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Answer:

$20

20% of 25 is $5, therefore 20 - 5 would be the final cost of the hat

Answer:

11 years

Step-by-step explanation:

in 11 years

Sam would be 13

and his mother would be 39

39/13 = 3

After 11 years, Sam would be 13 and his mother would be 39.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Let the age of Sam's mother = M

Let the age of Sam = S

We are given that Sam is 2 yrs old, his mother is 28 yrs old.

According to the given condition

M = 3S

Then we can see that

39/13 = 3

Hence Sam would be 13 and his mother would be 39 years old.

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Answer:

Step-by-step explanation: By multiplying 25 cm by the 2.5 cm per inch conversion factor, we can convert 25 cm to inches.

25 cm/2.5 cm per inch = 10 inches

Rounding to hundredths place, we get: 10 inches = 10.00 inches

Answer:

You didn't give me any specifics about what you want me to solve or do.

Answer:

5x+7

Step-by-step explanation:

Two squares are chosen at random on a chessboard. The probability that they have a side in common is 1/18. Which is an option (C).

A chessboard is an 8x8 checkerboard with 64 squares of alternating colors, which are typically black and white, or dark and light-colored.

The board has eight horizontal ranks and eight vertical files. Chess pieces are placed on the chessboard, and their movements across the board are controlled by the rules of the game.

A chessboard has 8 rows and 8 columns, making a total of 64 squares. The total number of ways to choose two squares is \(64\choose2\) = 2016.

There are two ways that two squares can have a side in common: they can be in the same row or the same column. If they are in the same row, there are 8 rows and 7 ways to choose two adjacent squares in each row, for a total of 8 * 7 = 56 ways. If they are in the same column, there are also 56 ways.

So the total number of ways to choose two squares with a side in common is 56 + 56 = 112.

Therefore, the probability that two randomly chosen squares have a side in common is 112/2016 = 1/18. Hence, the correct option is (C).

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The pharmaceutical company uses the quantitative variable to conducts an experiment.

Variables:

A variable is a characteristic of an object. Their values may occur more than once for a set of data. We consider just two main types of variables in this course.

Quantitative Variables - Variables whose values result from counting or measuring something.

Qualitative Variables - Variables that are not measurement variables. Their values do not result from measuring or counting.

Given,

A pharmaceutical company conducts an experiment in which a subject takes 75 mg of a substance orally.

And  the researchers measure how many seconds it takes for one quarter of the substance to exit the bloodstream.

Here we need to find the kind of variable is the company​ studying.

Here the company uses the Qualitative Variable because here they measure the effects of the medicine not the measurement.

So, the experiment uses the Qualitative Variable.

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