Briefly state, with reasons, the type of chart which would best convey in each of the following:

(i) A country’s total import of cigarettes by source. (1 mark)

(ii) Students in higher education classified by age. (1 mark)

(iii) Number of students registered for secondary school in year 2019, 2020 and 2021 for areas X, Y, and Z of a country. (1 mark)

Answer: 41666666669 / 50000000003

Step-by-step explanation:

The probability of hitting an even number based on the information will be 2/5.

It should be noted that probability simply means the likelihood of the occurrence of an event.

It should be noted that based on the information, we can see that we have 2 even numbers out of 5 numbers

It should be noted that probability will be:

= Favorable outcome / Total outcome.

= 2 / 5

Therefore, the probability of hitting an even number based on the information his will be 2/5.

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Answer:

It would be 20

Step-by-step explanation:because you have to divide 320 by 2 which equals $160 for 1 year and then divide that by 2 again would be $80 for 6 months then divide it by 2 again which would be $40 and 3 months for it then divide it by 2 again and 1 and a half months equal $20

well, clearly is 4 :).

now, if we take 25 to be the 100%, what is 4 off of it in percentage?

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 25 & 100\\ 4& x \end{array} \implies \cfrac{25}{4}~~=~~\cfrac{100}{x} \implies 25x=400\implies x=\cfrac{400}{25}\implies x=16\)

Answer:

$6,100

Step-by-step explanation:

12,500-1600(4)

12,500-6,400=6,100

Answer:

6100

Step-by-step explanation:

12500-1600*4=6100

Could you please help me with the two post recent questions of mine on my page? I will give u brainliest and 20 points! :))) X

Solution a needed 70 ounces and solution b needed 50 ounces

What does "1 ounce" mean?

One ounce weighs 437.5 grains or 28.349 grams and is a sixteenth of a pound (avoirdupois) of weight.

One ounce, abbreviated "oz," equals 480 grains, or 31.103 grams, and is one-twelfth of a Troy or Apothecaries' pound in weight. abbreviation for fluid ounce. a tiny amount or percentage.

So, let x=the of ounces of the 50% acid solution. The total volume after both are mixed is 100 ounces so the amount of the 20% solution will be 120-X. The equation will therefore be:

50% * x + 20% * (100-x) = 41% * 100

Dropping the ‘%’ we get

50x + 2000 - 20x = 4100

30x = 2100

x = 2100/30 = 70

Hence 70 ounces will be needed

Solution a = 70 ounces

Solution b = 50 ounces

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Answer: 1<x<3

Step-by-step explanation:

There are 3  rules in one that are needed for this problem

1st:  you can never get a 0 at the bottom of a denominator so x \(\neq\) 1

\(\sqrt{x-1}=0\\ x-1=0\\x=1\) would make a value of 0 on the bottom of a denominator which is not allowed.

2nd:  you can never get a - under the square root so x cannot be less than 1

3rd.  you can never get a log that is equal to 0 or less than 0 so x

3-x=0

-x=-3

x=3

so x cannot =3 or be greater than 3

the values that x CAN be are  1<x<3

A certain corner of a room is selected as the origin of a rectangular coordinate system. A fly has coordinate (1.7, 0.6). The distance of the fly from the corner of the room is 1.8 meters.

Suppose we have a point having coordinate (x,y). Then the horizontal axes, vertical axis,  and the distance from the origin form a right triangle which its base is x and y.

Hence, we can find the distance of the point (x,y) from the origin using the Pythagorean Theorem.

In this case, the origin is a certain corner of the room. The coordinate of the fly is (1.7, 0.6) meters.

Using the Pythagorean Theorem:

distance = sqrt (1.7² + 0.6²)

distance = sqrt (2.89 + 0.36)

distance = sqrt (3.25)

distance = 1.8 meters

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Answer:

No.

Step-by-step explanation:

It does not pass the vertical line test, so the relation is not a function. This is because there are x-values that have several y-values. To be a function, a relation must have x-values that only have one y-value each.

Hope this helps!

Answer:

No

Step-by-step explanation:

Because for any given point along the x-axis it has 2 values along y-axis.

For a relation to be a function it must have only one value at y-axis along any given point along the x-axis

A bicycle repair shop that offers two service packages: a tune-up and a complete overhaul.

The shop operates for 60 hours per week and receives an average of 180 bicycles each week. To analyze the capacity and utilization of the process, we need to consider the time taken at each stage and the demand for each service option. We'll break down the problem into multiple parts and provide a detailed explanation using mathematical terms.

a) Creating the Demand Matrix:

To create a demand matrix, we need to determine the number of bicycles going through each stage of the process. Let's denote the demand for tune-up as T and the demand for additional services as A.

Given that the average number of bicycles received per week is 180 and 25% of customers opt for additional services, we can calculate the demands as follows:

Demand for tune-up (T) = Total demand - Demand for additional services

T = 180 - (0.25 * 180)

T = 180 - 45

T = 135

Demand for additional services (A) = 0.25 * Total demand

A = 0.25 * 180

A = 45

Now, we can create a demand matrix based on the demand for each service option:

Demand Matrix:

Tune-up Additional Services Wheel Balancing

Tune-up  [135  0  0]

Additional [0  45  0]

Services

Total [ 135  45  0 ]

The demand matrix shows the number of bicycles flowing through each stage of the process.

b) Daily Capacity at Each Stage:

To calculate the daily capacity at each stage, we need to consider the time taken for each service option. Given that the shop operates for 60 hours per week, we can calculate the daily capacity at each stage:

Tune-up technician time per bicycle (\(T_{tuneup}\)) = 75 minutes

Additional services technician time per bicycle (\(T_{additional}\)) = 72 minutes

Wheel balancing specialist time per bicycle (\(T_{balancing}\)) = 20 minutes

Daily Capacity (C) = (60 hours * 60 minutes) / (\(T_{tuneup}\) + \(T_{additional}\) + \(T_{balancing}\))

Substituting the given values:

C = (60 * 60) / (75 + 72 + 20)

C = 21600 / 167

C ≈ 129.34 bicycles per day

Therefore, the daily capacity at each stage of the process is as follows:

Tune-up: 129 bicycles per day

Additional Services: 129 bicycles per day

Wheel Balancing: 129 bicycles per day

c) Implied Utilizations:

To find the implied utilizations, we need to compare the demand and the capacity at each stage of the process. Utilization can be calculated as the demand divided by the capacity.

Implied Utilization (U) = Demand / Daily Capacity

For the Tune-up stage:

\(U_{tuneup}\) = 135 / 129 ≈ 1.05

For the Additional Services stage:

\(U_{additional}\) = 45 / 129 ≈ 0.35

For the Wheel Balancing stage:

\(U_{balancing}\) = 0 / 129 = 0

The implied utilizations show how efficiently each stage of the process is being utilized. Utilization values greater than 1 indicate that the stage is operating beyond its capacity.

d) Weekly Capacity of the Process:

To calculate the weekly capacity of the process, we multiply the daily capacity by the number of days the shop is open per week:

Weekly Capacity = Daily Capacity * Number of days shop is open per week

Given that the shop is open for 60 hours per week, the number of days the shop is open per week can be calculated as follows:

Number of days shop is open per week = 60 hours / 24 hours per day = 2.5 days

Therefore, the weekly capacity of the process is:

Weekly Capacity = Daily Capacity * Number of days shop is open per week

Weekly Capacity = 129 bicycles per day * 2.5 days

Weekly Capacity = 322.5 bicycles per week

e) Flow Rate and Constraint Analysis:

To determine if the flow rate of the process is capacity-constrained or demand-constrained, we compare the weekly capacity to the demand for each service option.

Demand for Tune-up (\(T_{demand}\)) = 135 bicycles per week

Demand for Additional Services (\(A_{demand}\)) = 45 bicycles per week

Comparing the demands with the weekly capacity:

\(T_{demand}\) < Weekly Capacity (135 < 322.5)

\(A_{demand}\) < Weekly Capacity (45 < 322.5)

Since both the demands for tune-up and additional services are less than the weekly capacity, the flow rate of the process is demand-constrained. This means the shop has the capacity to handle the current demand without operating beyond its limits.

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The Answer:

The answer to the equation that Clare gets is:

X1= -3/2 + 7/2i , X2= -3/2 - 7/2i.

The Explanation:

4x^2+12x+58=0

2x^2+6x+29=0

a=2, b=6, c=29

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

The number of terms in the given expression is 3, so it is a Trinomial

5x^2 + 3x - 3 is a trinomial.

A monomial is an expression that has one term, such as 3x.

A binomial is an expression that has two terms, such as 4x^2 + 6x or 4x - 6.

A trinomial is an expression that has three terms, such as x^2 + 5x + 6.

Hope this helps!! :)

I do not believe either of them because of the heights of both the R.F. Mitte Building and the tallest building in San Marcos.

The height that a projectile can reach in ideal conditions (i.e., without air resistance) can be estimated by the physics formula for kinetic and potential energy equivalence:

mgh = 1/2mv²

The R.F. Mitte Building is 100 feet tall, and the tallest building in San Marcos is 150 feet tall. The velocity of a baseball thrown at the top of these buildings would need to be at least 44.27 m/s and 54.22 m/s, respectively, in order for it to reach the top.

This is a very high velocity, and it is unlikely that a person could throw a baseball with that much force. The fastest recorded pitch in Major League Baseball was by Aroldis Chapman at 105.1 mph, which is approximately 47 m/s.

Therefore, while the claim to throw a ball on top of the R.F. Mitte Building might be achievable by a person in excellent physical condition but the claim to throw a baseball on top of the tallest building in San Marcos seems impossible.

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Full question is:

A person claims they can toss a baseball on top of the R.F. Mitte Building. Not to be outdone, his buddy boasts he can throw a baseball on top of the tallest building in San Marcos.

Do you believe either of them and why?

Answer:

c. x=1,000

Step-by-step explanation:

log x = 3

Imagine that it's log10 x = 3

So, x =  10^3 (10 to the third power)

x = 10 * 10 * 10

x = 1,000

The equation of the straight line which has a gradient of -2 and passes through (1, 7) is y = -2x + 9.

The slope-intercept form of the equation

y = mx +c

Here

m is the slope

c is the y-intercept

To find the slope of a line, we find the rate at which the value of 'y' is increasing as we increase the value of 'x' by one unit.

Substituting the point (1, 7) and m = -2 to determine the y-intercept

y = mx +c

7 = (-2)1 + c

c = 7 + 2

c = 9

Thus, the equation of a line using the slope-intercept form is

y = mx +c

m= -2

c = 9

y = -2x + 9

Therefore, we conclude that the equation of a line using the slope-intercept form is y = -2x + 9.

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Answer:

She will have to use 14 cups of flour.

Step-by-step explanation:

Please mark as brainliest if possible :)

HAVE A NICE DAY!

There is a 0.32 probability that a resident will be too tall to enter the tent without bowing their head.

Based on the empirical rule, approximately 68% of the residents will have heights within one standard deviation (4.2 inches) of the mean (67.8 inches).

Therefore, the probability of a resident being too tall to enter the tent without bowing their head is approximately 32% (100% - 68%).

To express this probability as a decimal to the hundredths place, the answer is 0.32.

In conclusion, there is a 0.32 probability that a resident will be too tall to enter the tent without bowing their head.

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Answer:

Yes

Step-by-step explanation:

The population the surveyors are really interested in are

The population the surveyors are really interested in are " All registered voters in Raleigh" and the population of the city actually represented by this survey are "All the registered voters with telephones in Raleigh".

Total registered voters \(=11000\).

A telephone poll of \(550\) randomly selected registered voters was conducted.

Number of people who said to vote for Brown = 308 .

Number of people who said to vote for Feliz = 214 .

Here, All registered voters in Raleigh describe the population the surveyors are really interested in.

And, the population of the city actually represented by this survey are all the registered voters with telephones in Raleigh.

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Answer:

37.68

Step-by-step explanation:

pi D = 3.14 * 12 = 37.68

If pizza has a circumference of 12π inches then the  exact area of the pizza is 113.04 square units.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

Given that a pizza has a circumference of 12π inches.

We have to find the exact area of the pizza.

To find area we need to find the radius of the pizza.

Circumference = 12π

2π r=12π

r=6

Now let us find the area of pizza

Area of pizza=πr²

=3.14×6²

=113.04 square units.

Hence, if pizza has a circumference of 12π inches then the  exact area of the pizza is 113.04 square units.

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By Using the table to work out the values of a , b , c , and d. X y = 2 x + 1 − 3 a − 2 − 3 − 1 b 0 1 1 c 2 d a = b = c = d =

Therefore, The solutions are : a = -3, b = 0, c = 6, d = 9

Equation:

In mathematics, an equation is an expression that indicates equality of two expressions by connecting them with the equal sign = . The word "equation" and related words in other languages ​​can have slightly different meanings. For example, in French an equation is defined as containing one or more variables, whereas in English a well-formed formula consisting of two expressions connected by an equal sign is an equation.

Given:

This table;

x             y = 3x+3

-3                -6

-2                 a

-1                  b

0                 3

1                  c

2                 d

To Find:

Values of a, b, c and d

Consider the 2nd row,

x = -2, y = a

Putting the values in the equation,

we get,

   a = 3(-2) + 3

⇒ a = -3

Consider the 3rd row,

x = -1, y = b

Putting the values in the equation,

we get,

   b = 3(-1) + 3

⇒ b = 0

Consider the 5th row,

x = 1, y = c

Putting the values in the equation,

   c = 3(1) + 3

⇒ c = 6

Consider the 6th row,

x = 2, y = d

   d = 3(2) + 3

⇒ d = 9

The final answer is,

a = -3, b = 0, c = 6, d = 9.

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Answer:

The third side should be more than 7 and  less than 17

Step-by-step explanation:

Sum of lengths any 2 sides of a triangle should be greater than the length of the third side. Here lengths of 2 sides of a triangle are given. So,

5 + 12 > Length of third side

=> 17 > Length of third side

or

=> Length of third side < 17

Let's assume that the side with 12 as length be the longest side of the triangle. So,

5 + length of the third side > 12

(or)

12 < 5 + length of the third side

Here if we gonna add 7 , then it will be equal to 12 . So the length of the third side should be more than 7 .

Answer:

178.5 N

Step-by-step explanation:

force = mass *  acceleration

f = 35.7 * 5

f = 178.5

178.5 Newtons

To answer this question, we need to use the information given in the problem. We know that 52% of all adults are shareholders, so the probability that a randomly selected adult owns shares of stock is 0.52.

To find the probability that a randomly selected adult did not own shares of stock, we can subtract this probability from 1 (since the sum of the probabilities of all possible outcomes must equal 1).

So, the probability that a randomly selected adult did not own shares of stock is:

1 - 0.52 = 0.48

Now, we can see that the information about shareholders having some college education is not needed to answer this question.

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The relative frequency is solved and the table of values is plotted

Given data ,

The lunch order is given by the 2 sets of dishes as

A = { Sandwich , Pastas }

Now , the sports activities are given by 2 sets as

B = { Volleyball , Swimming }

From the table of values , we get

The relative frequency is solved as

Relative Frequency = Subgroup frequency / Total frequency

The percentage of Swimming ( sandwich ) = 26/36

Swimming ( sandwich ) = 72 %

And , the percentage of Swimming ( pasta ) = 10/36

Swimming ( pasta ) = 28 %

Now , the percentage of total sandwich = 45/70 = 64 %

And , the percentage of total pasta = 25/70 = 36 %

Hence , the relative frequency is solved

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P(A|B, C) is the conditional probability distribution of A given both B and C, which can be derived from the CPDs.

To define a Bayesian network (BN), we need to specify the conditional probability distributions (CPDs) for each variable given its parents. Let's assume we have variables A, B, and C in the network, with B being the parent of A and C being the parent of both A and B.

The CPD expressions for each variable would be as follows:

P(A|B): The conditional probability distribution of A given B.

P(B|C): The conditional probability distribution of B given C.

P(C): The marginal probability distribution of C (since it has no parents).

To derive the full joint probability distribution, we use the chain rule of probability. The joint probability distribution can be expressed as:

P(A, B, C) = P(A|B, C) * P(B|C) * P(C)

Here, P(A|B, C) is the conditional probability distribution of A given both B and C, which can be derived from the CPDs mentioned above.

By multiplying these conditional probabilities, we obtain the full joint probability distribution that describes the probabilistic relationships among the variables A, B, and C in the Bayesian network.

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