PLEASE HELP WILL MARK BRAINLIEST

Eight students were asked how many books they read last summer. Their answers are shown in the line plot below.



Find the range and the mode for the data.

(a)range:
(b)mode:

Answer:

25mm : 1 m

Step-by-step explanation:

A ratio is in its simplest form when the second number is 1. To do that here, divide both numbers by 0.48:

\(12:0.48\\\\\frac{12}{0.48}=25\\\\\frac{0.48}{0.48}=1\\\\25:1\)

To confirm that its still the same ratio:

\(\frac{12}{0.48}=\frac{25}{1}\\\\25=25\)

Answer:

3

Step-by-step explanation:

It is 3 because you multiply the powers when in brackets

The question asks for the term used to describe the process of repeatedly increasing a value by some amount. The answer choices provided are incrementing, accumulating, iterating, and scaling.

The term that describes the process of repeatedly increasing a value by some amount is iterating. Iteration involves performing a series of repeated steps or operations, often with the purpose of gradually changing or updating a value. It is commonly used in programming and mathematics to implement loops or repetitive processes. The other answer choices have different meanings and do not specifically convey the concept of incrementally increasing a value over multiple iterations. Incrementing typically refers to adding a fixed amount to a value, accumulating refers to the process of gradually gathering or collecting values, and scaling typically involves proportionally resizing or changing the magnitude of a value.

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Answer:

A

Step-by-step explanation:

i want it now

a) The arrival rate of parties requesting a table of size two per hour is 50% of the total arrival rate. Therefore, it is 0.5 * 24 = 12 parties per hour.

b) The total arrival rate of parties requesting tables of any size per hour is 24 parties per hour.

c) The average number of parties requesting a table of size four per hour is 40% of the total arrival rate. Therefore, it is 0.4 * 24 = 9.6 parties per hour.

d) The average number of parties waiting for a table of size four is given as 2 parties.

a) The arrival rate of parties requesting a table of size two per hour is calculated by taking the percentage of parties requesting a table of size two out of the total arrival rate. In this case, 50% of the parties require a table of size two. So, the arrival rate for parties requesting a table of size two is 0.5 * 24 = 12 parties per hour.

b) The total arrival rate of parties requesting tables of any size per hour is simply the sum of the arrival rates for each table size. In this case, we have an arrival rate of 12 parties per hour for tables of size two, 40% of the parties require a table of size four (which corresponds to an arrival rate of 0.4 * 24 = 9.6 parties per hour), and 10% of the parties request a table of size six (which corresponds to an arrival rate of 0.1 * 24 = 2.4 parties per hour). Adding these arrival rates together gives a total arrival rate of 12 + 9.6 + 2.4 = 24 parties per hour.

c) The average number of parties requesting a table of size four per hour is calculated by taking the percentage of parties requesting a table of size four out of the total arrival rate. In this case, 40% of the parties require a table of size four. So, the average number of parties requesting a table of size four per hour is 0.4 * 24 = 9.6 parties per hour.

d) The average number of parties waiting for a table of size four is given as 2 parties. This means, on average, there are 2 parties waiting for a table of size four at any given time.

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Answer:

20 gallons.

Step-by-step explanation:

The given points (2, 44) and (5, 80) represent two points on the linear function that relates the total amount of water in the pool to the time since Jabari turns on the hose. We can use these points to find the equation of the function in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.

To find the slope, we can use the formula:

m = (y2 - y1) / (x2 - x1)

Using the two given points, we get:

m = (80 - 44) / (5 - 2)

m = 12

To find the y-intercept, we can use the point-slope form of the equation and substitute one of the given points, say (2, 44), for x and y, and the slope we just found for m:

y - y1 = m(x - x1)

y - 44 = 12(x - 2)

y - 44 = 12x - 24

y = 12x + 20

So the equation of the function that relates the total amount of water in the pool to the time since Jabari turns on the hose is:

y = 12x + 20

When Jabari turns on the hose, the time since he turns on the hose is 0 minutes. Substituting a = 0 into the equation we just found, we get:

y = 12(0) + 20

y = 20

Therefore, when Jabari turns on the hose, there is already 20 gallons of water in the pool.

Using the graph, it is found that 976 passengers had carry-on luggage that weighed less than 20 lb.

The graph is not given in this problem, but an internet search indicates that the information it contains is as follows:

Hence, the number of passengers with luggage below 20 lb is:

\(120 + 222 + 378 + 256 = 976\)

976 passengers had carry-on luggage that weighed less than 20 lb.

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The expression 1/4x³y + 3/4xy² can be rewritten as: A. 1/4xy(x² + 3y).

We can rewrite an expression by using a factor that is common in an expression.

Given the expression, 1/4x³y + 3/4xy², the common factor in the expression that we can factor out is 1/4xy.

To rewrite the expression, we have the following:

1/4xy into 1/4x³y will give us x²

1/4xy into 3/4xy² will give us 3y.

This will give us:  1/4xy(x² + 3y).

Therefore, the expression 1/4x³y + 3/4xy² can be rewritten as: A. 1/4xy(x² + 3y).

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Answer:

A. one fourth times x times y times the quantity x squared plus 3 times y end quantity

Step-by-step explanation:

Hope this helps you :)

Given that the hoop makes one complete oscillation in 2s, this implies that the period of oscillation is 2s

Then,

T = 2s

Let the Mass of the thin hoop be M

Let the Radius of the hoop be R

The moment of inertial of a hoop is

I = MR²

The period of a physical pendulum of small amplitude is given by

T = 2π √(I / Mgd)

Where,

T is the period in seconds

I is the moment of inertia in kgm²

M is the mass of the hoop

g is the acceleration due to gravity

g = 9.8m/s²

d is the distance from the rotational axis to the center of gravity

Therefore, d = R

Then, applying the formula

T = 2π √ (I / MgR)

So, we know that

I = MR²

Then,

T = 2π √( MR² / MgR)

T = 2π √(R/g)

Make R the subject of the formula

Square both sides

T² = 4π²(R/g)

T²g = 4π²R

Then, R = T²g / 4 π²

Since g = 9.8m/s² and T= 2s

R = 2² × 9.8 / 4π²

R = 0.993m

Then, the radius of the hoop is 0.993m

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Answer:

2.396 :)

Step-by-step explanation:

The units of measurement go like this:

Kilo, hecto, deca, unit, deci, centi, mili

When you move to the right, you move the decimal one place to the right, and when you move left, you move the decimal one place to the right

If you’re changing milliliters to liters (unit), you have to more the decimal 3 times to the left. This makes it 2.396 liters

Uhh your welcome

Answer:

Step-by-step explanation:

P=3/6 ×5/26=5/52

2.for Corner

P=3/6×5/26=5/52

3. for Cecilia

P=2/6×5/26=5/78

Answer:

Quadrant 2

Step-by-step explanation:

Answer:

Quadrant II

Step-by-step explanation:

...................

The question is an illustration of combination, and there are 1820 ways to select the 12 students

The distribution of the students is given as:

Senior = 7

Junior = 5

Sophomore = 4

The total number of students is:

Total = 7 + 5 + 4

Evaluate

Total = 16

To select 12 students from the 16 students, we make use of the following combination formula

Ways = 16C12

Evaluate the expression using a calculator

Ways = 1820

Hence, there are 1820 ways to select the 12 students

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Answer:

a. f(x)=2/5x + 3/5

Step-by-step explanation:

Answer:

2 times 11 times 3511

Step-by-step explanation:

i kinda dont know what your asking but i tried

The common prime factor of the numbers  77 and 242? will be 11.

A number can be expressed as the product of its prime factors through the process of prime factorization. A number with exactly two factors, 1 and the number itself, is said to be a prime number. As an illustration, let's use the number 30. Even though we are aware that 30 = 5 6 is not a prime number,

Given that the numbers are 77 and 242. The prime factor of the numbers is calculated as,

77 / 11 = 7

242 / 11 = 22

Hence, the number 11 is completely dividing both the numbers 77 and 242 so the prime factor of the numbers is 11.

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x = 4

The area of the figure can be found below.

The size of the farm is a rectangle therefore, we use the area of a rectangle to find the area of the farm.

Answer:

x>3

Step-by-step explanation:

8x-6>12+2x

Subtract 2x from both sides:

6x-6>12

Add 6 to both sides:

6x>18

Divide both sides by 6:

x>3

Hope this helps!

Answer:

x>3

Step-by-step explanation:

8x-6>12+2x

First start distributing your numbers

the 2x will go to the left and turn to -2x and the -6 will go to the right and turn to +6

Then you will get the answer of 6x > 18

Now you will need to get the x by itself, so divide the 6 by the 18 on the right and you will get the answer.

Given:

Let x=34 miles

y=44 miles

\(\frac{dy}{dt}=41 miles/hr\)

To find:

\(\frac{d\theta}{dt}\)

Solution:

\(Hypotenuse=\sqrt{(base)^2+(Perpendicular\;side)^2}\)

Using the formula

\(Hypotenuse=\sqrt{(34)^2+(44)^2}=55.6 miles\)

\(sec\theta=\frac{Hypotenuse}{Base}\)

Using the formula

\(sec\theta=\frac{55.6}{34}\)

\(tan\theta=\frac{Perpendicular\;side}{Base}\)

Using the formula

\(tan\theta=\frac{y}{34}\)

Differentiate w.r.t t

\(sec^2\theta\frac{d\theta}{dt}=\frac{1}{34}\frac{dy}{dt}\)

Using the formula

\(\frac{d(tanx)}{dx}=sec^2 x\)

Substitute the values

\((\frac{55.6}{34})^2\times \frac{d\theta}{dt}==\frac{1}{34}\times 41\)

\(\frac{d\theta}{dt}=\frac{41\times (34)^2}{34\times (55.6)^2}\)

\(\frac{d\theta}{dt}=0.45 rad/hour\)

Step-by-step explanation:

1×100000+2×10000+9×1000+9×100+8×10+2×1

=100000+20000+9000+900+80+2

Answer:

81w^2 - 1

Step-by-step explanation:

81w^2 - 9w + 9w - 1

81w^2 - 1

Following the 5-step FDR (Function Design Recipe), here is the implementation of the area_cylinder function in MATLAB:

% Step 1: Problem Analysis

% The problem is to calculate the of a cylinder given its radius and height.

% Step 2: Specification

function area = area_cylinder(radius, height)

% area_cylinder calculates the area of a cylinder

%   Inputs:

%       - radius: the radius of the cylinder base

%       - height: the height of the cylinder

%   Output:

%       - area: the area of the cylinder

% Step 3: Examples

% Example 1: area_cylinder(6, 7) should return 376.9911

% Example 2: area_cylinder(3, 4) should return 131.9469

% Step 4: Algorithm

% The formula to calculate the area of a cylinder is: A = 2*pi*r^2 + 2*pi*r*h,

% where r is the radius of the base and h is the height of the cylinder.

% We can use this formula to calculate the area.

% Step 5: Implementation

% Calculate the area using the formula

area = 2 * pi * radius^2 + 2 * pi * radius * height;

end

You can now call the area_cylinder function with the radius and height values to calculate the area of the cylinder. For example:

area = area_cylinder(6, 7);

disp(['The area of the cylinder is: ', num2str(area)]);

This will output: "The area of the cylinder is: 376.9911" for the given radius of 6 and height of 7.

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a. A graph of the functions f(x) and g(x) is shown in the image attached below.

b. A function that could be described as exponential is f(x).

c. The value of x for which the function values are equal is -2.678.

In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:

\(f(x)=a(b)^x\)

Where:

In this scenario, we would use an online graphing calculator to plot the given exponential function as shown in the graph attached below.

Part b.

By critically observing the graph of the functions f(x) and g(x), we can logically deduce that only f(x) represent an exponential function.

Part c.

For the value of x for which the function values are equal, we have:

\(0.3333x + 7 = 1.1487e^{-0.624x}\\\\7 = 1.1487e^{-0.624x}-0.3333x\)

x = -2.678.

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Answer:

1st staement, second option 2nd statement 3rd option, 3rd staement, 4th option, 4th statement, 1st option

Step-by-step explanation:

hope this is right!

a. To estimate the proportion of non-graduates in the 25 to 30 age group within a 6% margin of error and 90% confidence, survey at least 199 individuals.

b. To reduce the margin of error to 5% while maintaining 90% confidence, survey at least 270 individuals.

c. To achieve a margin of error of 3% while maintaining 90% confidence, survey at least 601 individuals.

a. To estimate the proportion of non-graduates within the 25 to 30 age group with a 6% margin of error and 90% confidence, we can use the formula:

n = (Z² × p × (1-p)) / E²

where n is the required sample size, Z is the Z-score corresponding to the desired confidence level (90% corresponds to approximately 1.645), p is the estimated proportion of non-graduates (21% or 0.21), and E is the desired margin of error (6% or 0.06).

Plugging in the values, we have:

n = (1.645² × 0.21 × (1-0.21)) / 0.06²

n ≈ 198.838

Therefore, we need to survey at least 199 individuals in the 25 to 30 age group to estimate the proportion of non-graduates within a 6% margin of error with 90% confidence.

b. To reduce the margin of error to 5% while maintaining 90% confidence, we need to calculate the necessary sample size again. Using the same formula, with E = 0.05:

n = (1.645² × 0.21 × (1-0.21)) / 0.05²

n ≈ 269.89

Therefore, we need to survey at least 270 individuals in the 25 to 30 age group to estimate the proportion of non-graduates within a 5% margin of error with 90% confidence.

c. To achieve a margin of error of 3% while maintaining 90% confidence, we use the same formula, this time with E = 0.03:

n = (1.645² × 0.21 × (1-0.21)) / 0.03²

n ≈ 600.553

Therefore, we need to survey at least 601 individuals in the 25 to 30 age group to estimate the proportion of non-graduates within a 3% margin of error with 90% confidence.

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Answer:

The answer choice is D.

Step-by-step explanation:

Multiply 5 and 8

= 40

Then put d to 40

=40d

And also multiply 6 with 5

which equals to 30.

Now the expression would be: 40d + 30

The correct answer is "Secured Loan." Hope this helps! <3

The possible roots of the polynomial function f(x) is, 2/7

The polynomials are the algebraic expressions, which have multiple powers.

And based on powers of polynomials, we can categorize polynomials into following categories-

1. Linear Equation

2. Quadratic Equation

3. Cubic Equation

Given that,

A polynomial function f(x) ,

Having a leading coefficient of 7 and a constant term of 2

The  possible roots of f(x) = ?

According to the Rational Root Theorem,  

Rational zero of polynomial = p/q

p  =  constant term of the polynomial

q  =  leading coefficient of the polynomial

Rational Zero =  a₀/aₙ

                       =  2/7

Hence, the rational zero is 2/7

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Answer: 165 miles

Step-by-step explanation:

9514 1404 393

Answer:

  both are (-∞, ∞)

Step-by-step explanation:

The domain and range of any odd-degree polynomial are both "all real numbers." They go from -infinity to +infinity.

Your polynomial is of degree 3, so is of odd degree. The arrows on the ends of the curve indicate it extends to infinity in that direction.

  y → +∞  for  x → +∞

  y → -∞  for  x → -∞