Given the graph below and the equation y = 4x, determine which function has the greatest rate of growth?

The joint relative frequency for school children who plan to attend camp and have swimming lesson is 44%.

The correct option to the given question is option d.

We are required to find the joint relative frequency for school children who plan to attend camp and have swimming lessons, rounded to the nearest percent.

To find the joint relative frequency, we use the formula as follows:

Joint relative frequency = frequency of interest / total frequency

Joint relative frequency for school children who plan to attend camp and have swimming lessons = 42 / 96

(As we are looking for the students who plan to attend camp and have swimming lessons, we are interested in the first column of the table and the entry at the intersection of the first row and second column.)

Joint relative frequency for school children who plan to attend camp and have swimming lessons = 0.4375

Joint relative frequency for school children who plan to attend camp and have swimming lessons (rounded to the nearest percent) = 44%(option d).

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The misleading about the data shown on the figure is the clas width

From the question, we have the following parameters that can be used in our computation:

The histogram

On the histogram, we have the following readings

From the above, we can see that

The above readings are not consistent i.e. the class widths are not equal

Hence, the misleading about the data shown on the figure is the clas width

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The average number of hours that adults spend working each day is 8 hours and Ryan is correct because he got the average of 8 right.

We know that,

The sample mean is a statistic that is computed by taking the arithmetic mean of the values of a variable in a sample. If the sample is taken from probability distributions with a shared expected value, the sample mean is an estimator of that value.

The mean is gotten from the formula;

x' = ∑x/n

Number of hours of work per day are; 6, 7, 8, 9 and 10

Thus; sum up all of it

∑x = 6 + 7 + 8 + 9 + 10

∑x = 40

Mean is; x' = 40/5

x' = 8

Since Ryan concluded that the average is 8 hours,

Therefore,

We can say that Ryan is correct.

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M(-3)= 0

1) Let's plug into that function, the given value for x in the Domain.

M(x) = 4x +12 Plug into that x=-3

M(-3) = 4(-3) +12

M(-3) = -12 +12

M(-3) = 0

2) Hence, for the value of the Domain x=-3 , y = 0

Answer: a. the weight of a burger with 0 patties is  not 0 ounces because  

the burger has to have weight, it cannot just be 0 ounces because you will not feel anything in your hand.

b. For patty 0 the weight is 0 oz, For patty 1 the weight is 6.6 oz, For patty 2 the weight is 22.2 oz, For patty 3 the weight is 46.8 oz.

Im sorry but I do not know what to do for C, I hope this helps. Sorry that I couldn't help you with c, but good luck!!

:)

Step-by-step explanation:

R(a) = -0,68 + 800w- 3000 + 600, where x

P(x) = R(x) - C(x)

Then find

(800- 500)x^2 = 300x^2

(-300 - 400)x= -700x

-0.6x^3 dont change

600 dont change

Then answer is OPTION C)

-0.6X^3 + 300X^2 - 700X + 600

==================================================

Explanation:

Dividing the side lengths, the scale factor is 6/3 = 2. This means the larger figure has a side length twice as long compared to its smaller counterpart.

How can we use this to figure out how the areas are connected? By simply squaring the scale factor to get 2^2 = 2*2 = 4, then we divide the larger area over 4 to get 24/4 = 6.

The longer side is 2 times longer

The larger area is 4 times larger

--------------------

Let's say we had a 3 by 3 square. It's area would be 9.

Also, let's say we had a 6 by 6 square. It's area is 36.

Notice the ratio of areas is 36/9 = 4, so the larger square is 4 times larger than the smaller. This 4 matches with what we got earlier.

----------------------

Another example:

square A is 7 by 7 with area 49

square B is 21 by 21 with area 441

ratio of areas is 441/49 = 9, which is exactly equal to 3^2, and the 3 comes from the ratio of the sides 21/7 = 3.

------------------------

So in short, you find the linear scale factor by dividing the sides. Then you square the result to get the area scale factor, which you use to find the smaller area.

linear scale factor = (new side)/(old side)

area scale factor = (linear scale factor)^2

smaller area = (larger area)/(area scale factor)

Answer:

1057.89 feet

Step-by-step explanation:

Trig time! Start with a diagram and listing out your trig functions, either mentally or on paper. SOH CAH TOA

The best trig function for this problem is likely tan:

tan84.6 = height / 100

100 * tan 84.6 = height

height = 1057.89 feet

The value of 'n' is 18 in the given equation 8n - 5 = 139.

We have to find the value of 'n'.

To do so, we need to solve the given equation.

Let us see how we can solve the given equation.8n - 5 = 139

We need to find the value of 'n'.

Let us bring the constant term to the right side by adding 5 to both the sides of the equation.8n - 5 + 5 = 139 + 5On simplifying, we get8n = 144Now, we need to isolate 'n' to find its value.

To do so, we divide both the sides by 8.8n/8 = 144/8On simplifying, we get n = 18

Therefore, the value of 'n' is 18.

Hence, the value of 'n' is 18 in the given equation 8n - 5 = 139.

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The sampling method that would give the highest likelihood of getting a sample of GRTC pulse passengers that is representative of all GRTC pulse passengers in the population is Stratified Random Sampling. The correct answer is A.

Stratified random sampling involves dividing the population into similar groups known as strata, based on a significant characteristic like age, gender or income. Subsequently, a simple random sample is drawn from each stratum in a proportional manner. This method helps produce a sample that accurately reflects the entire population, rather than being skewed towards specific groups.

The other methods listed are also sampling techniques, but they are less likely to provide a representative sample of the population.

Simple random sampling (B) involves randomly selecting individuals from the population without considering any grouping, which can result in a sample that is unrepresentative of the population.

Volunteer response sampling (C) involves relying on individuals who choose to participate in the study, which can result in a sample that is biased towards those who are more motivated or interested in the topic.

Multistage random sampling (D) is a more complex method that involves taking several random samples at different stages, but it is more time-consuming and expensive than stratified random sampling.

Haphazard sampling (E) involves choosing individuals from the population in a non-random or arbitrary manner, which can result in a sample that is unrepresentative and biased.

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Answer:

4x² + 22x - 12

Step-by-step explanation:

A = bh/2

A = (4x - 2)(2x + 12)/2

A = (8x² + 48x - 4x - 24)/2

A = (8x² + 44x - 24)/2

A = 4x² + 22x - 12

When the product of a fraction and a factor is greater than the factor, it means that the fraction is greater than 1.

Due to the principles of multiplication, when multiplying a value greater than 1 with a given amount, the product will be larger than the original number. To provide an example, if we multiply 5 by 2, the result will be 10, which is greater than 5.

By extension, if we multiply a fraction with a factor that's greater than 1, the resulting product will be greater in size as compared to the initial quantity. For instance, when we calculate 1/2 multiplied by 3, the outcome is 3/2, which surpasses the worth of 1/2. Hence, it can be deduced that any result which exceeds its own source was obtained through multiplication by value greater than 1.

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Answer:

3 1/3

Step-by-step explanation:

So first turn 1 1/2 into a improper fraction--  which is 3/2

Then divide- to divide you need to flip the fraction and multiply

so you get 5/1*2/3 which equals 10/3 which is equal to 3 1/3

Answer: The value increased by $39,780. The current value is $511,780.

Step-by-step explanation:

Answer:

relative maximum: x = 1

relative minimum: x = 7

Step-by-step explanation:

Critical points:

Values of x for which f'(x) = 0.

Second derivative test:

For a critical point, if f''(x) > 0, the critical point is a relative minimum.

Otherwise, if f''(x) < 0, the critical point is a relative maximum.

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

\(ax^{2} + bx + c, a\neq0\).

This polynomial has roots \(x_{1}, x_{2}\) such that \(ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})\), given by the following formulas:

\(x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}\)

\(x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}\)

\(\bigtriangleup = b^{2} - 4ac\)

In this question:

\(f(x) = x^{3} - 12x^{2} + 21x - 8\)

Finding the critical points:

\(f'(x) = 3x^{2} - 24x + 21\)

\(3x^{2} - 24x + 21 = 0\)

Simplifying by 3

\(x^{2} - 8x + 7 = 0\)

So \(a = 1, b = -8, c = 7\)

\(\bigtriangleup = (-8)^{2} - 4*1*7 = 36\)

\(x_{1} = \frac{-(-8) + \sqrt{36}}{2} = 7\)

\(x_{2} = \frac{-(-8) - \sqrt{36}}{2} = 1\)

Second derivative test:

The critical points are x = 1 and x = 7.

The second derivative is:

\(f''(x) = 6x - 24\)

\(f''(1) = 6*1 - 24 = -18\)

Since f''(1) < 0, at x = 1 there is a relative maximum.

\(f''(7) = 6*7 - 24 = 18\)

Since f''(x) > 0, at x = 7 there is a relative minumum.

Note that the size of angle x = 115°. This is a problem relating to the sum of angles in a circle. See the computation below.

The sum of angles in a circle is always equal to 360 degrees or 2π radians.

This means that the sum of the measures of the angles formed by any number of rays or line segments that meet at a common point, or vertex, and whose endpoints lie on the circle, will always add up to 360 degrees or 2π radians. This property is often used in geometry and trigonometry to solve problems involving circles and angles.

With regard to the above problem,

We are given three angles in a circle named as follows:

a) 81°

b) 164°

c) x

The above rule state that

81 + 164 + x = 360°

thus, x = 360 - 81 - 164

x = 360 -245

x = 115°

Thus the value of ∠x is  115°

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Full Question:

See attached image.

Answer:

1. There is evidence that mean is different from 1.0 gallon

2. test statistic = -4.42

3. p value = 0.00001

4. 0.9928,0.9972

Step-by-step explanation:

h0: u = 1.0

h1: u not equal to 1.0

alpha = 0.05

sd = 0.008

n = 50

mean = 0.995

standard error se = 0.008/√50 = 0.00113

test statistics calculation

0.995-1/0.00113

= -0.005/0.00113

= -4.42

p value calculation

using the z test statistics and alpha = 0.05

the p value using a p value calculator = 0.00001

0.00001<0.05

so we Reject the null hypothesis

we conclude there is enough evidence that mean is different from 1.0

95% confidence interval

Z alpha/2 = 0.025

we find z value using excel function

NORMSINV (0.025)

|Z| = 1.96

Standard error se = 0.00113

margin of error E = 1.96 x 0.00113 = 0.0022148

confidence interval =

0.995 - 0.0022148, 0.995 + 0.0022148

= 0.9928, 0.9972

Answer:

1. y = 18

2. x = 5

3. y = 2

Step-by-step explanation:

Rule: y = 2x

y = 2 ( 9 )

y = 18

10 = 2x

x = 5

y = 2 ( 1 )

y = 2

Answer:

x - y

9 - 18

5 - 10

1 - 2

Step-by-step explanation:

if there is a number in the x column, multiply it by 2, if there is a number in the y column, then divide it by 2.

a) The force in the coupling between the first carriage and the locomotive can be found by analyzing the net force acting on the train. It is determined to be 100 N.

b) The force in the coupling between the first carriage and the locomotive is a tension force.

a) To find the force in the coupling between the first carriage and the locomotive, we need to analyze the forces acting on the train.

The forces acting on the train are:

The driving force applied by the locomotive: 700 N

The resistance force of each carriage: 400 N (assuming equal resistance forces for both carriages)

The force in the coupling between the first carriage and the locomotive (unknown)

Since the train comes to rest, the net force acting on the train must be zero. We can set up the equation for the net force as:

Net force = Driving force - Resistance force - Force in coupling = 0

Substituting the given values:

700 N - 2(400 N) - Force in coupling = 0

Simplifying the equation:

700 N - 800 N - Force in coupling = 0

-100 N - Force in coupling = 0

Therefore, the force in the coupling between the first carriage and the locomotive is 100 N (opposite in direction to the driving force).

b) The force in the coupling between the first carriage and the locomotive is a tension force. Tension forces act along a string, cable, or any stretched connection. In this case, the coupling acts as a connection between the locomotive and the first carriage, so the force in the coupling is a tension force.

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Answer:

84

Step-by-step explanation:

The quantity of sheep and goats are in a ratio of 6 to 8.

Suppose there are 6x - sheep, 8x- goats

8x=48

x=6

6*6=36- the amount of sheep

48+36=84

x -------------------------- 100%

30.8 ---------------------- 14%

x = (30.8 x 100 ) / 14

x = 3080 / 14

x = 220

The number is 220

Domain:

Range:

Function:

Domain:

Range:

Function:

Domain:

Range:

Function:

Utilizando propiedades de triángulos rectángulos, veremos que la altura h es igual a 4.28m

Lo primero que debemos notar es que tenemos un triangulo rectángulo. En el podemos ver un ángulo de 55°.

El cateto adyacente tiene una longitud de 3m, y queremos obtener la longitud del cateto opuesto.

Podemos usar la relación trigonométrica:

Tan(θ) = (cateto opuesto)/(cateto adyacente)

Reemplazando los valores que conocemos, obtendremos:

Tan(55°) = h/3m

Tan(55°)*3m = h = 4.28m

La altura h del velero es 4.28m

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Answer:

(9,-5)

Step-by-step explanation:

When you go down, the number will decrease. The vertical position is the Y axis. -3-2=5.

When you go right, the number will increase. The horizontal position is the X axis. 5+4=9

(9,-5)

Hope this helps :-)

Answer:

Step-by-step explanation:

For b the number of polar bears must be greater than 45 in order for there to be more on the left side.

Hope this helps! :)

The bikers will meet at point N, all the questions have been answered below.

A triangle is a polygon with three sides, angles, and vertices.

The triangle MNO is formed on the basis of the data given in the question

If the triangle satisfies the sine-rule then the biker meets the other biker at point N

According to the sine rule

In a Triangle ABC of side length a,b and c respectively

a/ sin A = b/ sin B = c/sin C

NM/sin NOM =21/ sin 61°

NM/sin NOM = 24.01

NO/sin OMN =24/sin 89°

NO/sin OMN = 24.003

∠ONM = ( 180-61-89) = 30°

OM / sin ONM = 12/ sin 30 = 24

        and so, the bikers will meet at point N.

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Answer:

domain - -9 <x < 7

range - -6 < y < 4

Step-by-step explanation: