what is surface area of the cuboid 4cm.5cm.9cm.

The number of each type of ticket is sold is D. 90 adult tickets and 30 children's tickets

From the information given, an adult ticket for a magic show costs $18. A children's ticket for the magic show costs $12.

The number of adult tickets sold is 3 times the number of children's tickets sold. A total of $1980 is taken in for ticket sales.

Let the number of children tickets = x

Number of adults ticket = 3x

Therefore, this will be illustrated as:

18(3x) + 12(x) = 1980

54x + 12x = 1980

66x = 1980

Divide

x = 1980 / 66

x = 30.

Children ticket = 30

Adult tickets = 30 × 3 = 90

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At least 35% of all registered students, according to a university's academic planner, take summer courses. H0:p.35 Ha:p.35 is the appropriate set of hypotheses to test his theory with.

A hypothesis is a put-forth explanation for a phenomenon (plural: hypotheses).

A hypothesis must be testable according to the scientific method for it to be considered a scientific hypothesis.

Scientific hypotheses are typically based on prior observations that cannot be adequately explained by the current body of knowledge.

For example, a university's academic planner estimates that at least 35% of all enrolled students attend summer classes. The proper set of hypotheses to use in order to test his theory is H0:p.35 Ha:p.35.

Despite the frequent confusion between the terms "hypothesis" and "theory," a scientific hypothesis differs from a scientific theory.

A working hypothesis is an accepted theory that has been tentatively supported and is put up for further investigation.

Therefore, at least 35% of all registered students, according to a university's academic planner, take summer courses. H0:p.35 Ha:p.35 is the appropriate set of hypotheses to test his theory with.

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The end behavior of the function is described by the following option:

f(x) -> 0 when x -> -∞ and f(x) -> -∞ when x -> ∞.

The end behavior of a function is given by the limits of the function as x goes to infinity.

On the graph, these limits are found looking at the behavior at the left end and at the right end of the graph, as follows:

From the graph, these limits are given as follows:

Hence the correct statement is given by the third option, as the other options give the wrong limits.

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The type of sampling method that the manager used is called; Simple random sampling

There are different methods of sampling used in statistics and they are;

1. Simple random sampling

2. Systematic sampling

3. Stratified sampling

4. Cluster sampling

5. Convenience sampling.

Now, we are told that the manager uses the computer to randomly select 250 students to survey. This type of sampling method is known as simple random sampling because every single student of that school is chosen randomly, merely by chance. Each student has the same probability of being chosen to be a part of a sample.

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If the partial derivative is equal to zero for all values of x then it indicates that the function is constant.

What is a partial derivative?

In differential calculus, partial derivative is defined as the rate of change of multivariable functions concerning change in just one of its variables.

Consider the restriction of f to a line y=c,

then

[tex] \frac{∂f}{∂x}(x \: c) = fx(f \: c) = 0[/tex]

Pick 2 points a and b, then by mean value theorem there is x0, such that

[tex]fx(x \: c) = \frac{f(b \: c) - f(a \: c)}{b - a} = 0[/tex]

[tex]⟹f(b \: c) - f( \: a \: c) = 0⟹f(b \: c) = f(a \: c)⟹f(x \: c) = const.[/tex]

We can show the same way that f(c,y)=const.

Combining f(x,c)=const and f(c,y)=const to get f(x, y)=const.

Hence, If the partial derivative is equal to zero for all values of x then it indicates that the function is constant.

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Twenty eight sixths is less than the square root of 26 which is  [tex]\sqrt[6]{28}[/tex] < [tex]\sqrt{26}[/tex]

Square root of a number is a value, which on multiplication by itself, gives the original number. The square root is an inverse method of squaring a number. Hence, squares and square roots are related concepts.

checking for square root of:

 [tex]\sqrt[6]{28}[/tex]    = 1.74

[tex]\sqrt{26}[/tex] = 5.09

which means 1.74 < 5.09

Therefore   [tex]\sqrt[6]{28}[/tex]  < [tex]\sqrt{26}[/tex]

In conclusion twenty eight sixths is less than the square root of 26 (   [tex]\sqrt[6]{28}[/tex]  < [tex]\sqrt{26}[/tex])

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Answer:

70.8

Step-by-step explanation:

70.782     round the bold 7   to 8   because the number that follows it is >=5

70.8

here are some screen shots hope it helps

The total money I have to pay will be 168.

What is the arithmetic operation?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.

If I and my brother pay for groceries and the total was 443.

If i pay 243 and get paid back 75

So the total I paid will be (243 - 75) = 168

Hence, the total money I have to pay will be 168.

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The width of the river is 1700m

What is the time, distance & speed relation?

Speed is calculated by dividing the distance traveled by the amount of time it took to get there. Divide the distance by the speed to find the passing time. To get the distance, multiply the speed by time.

Let 'x' be the distance from THE far bank where 700 is the distance to the NEAR bank

boat one has travelled 700 (rate = 700/unit time) boat two has travelled   x rate = x / unit time

boat one then travels   x  + 400  more      and boat two travels   700 + (700+x -400) more    when they meet

The time is the same:    

rate x time = distance  

distance/rate = time    

equate the distances divided by the respective rates

(700 + x + 400)/700     =    (  x  +  700     +  (700+x-400) )/x

1100x + x^2 = 1400x + 700000

x^2 - 300x - 700000 = 0                        

quadratic formula yields  x = 1000  

One boat travels 700 the other 1000 when they first meet.....width of the river =   700+ 1000 = 1700 m

Hence, the width of the river is 1700m

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Answer: $13,000

Step-by-step explanation:

Answer:

Step-by-step explanation:

6.3kg = 6300 g

450 * 14 = 6300

20 minutes for 450 g

so, 20 *14 = 280 minutes

Answer:

280 minutes

Step-by-step explanation:

To roast a turkey that weighs 6.3 kg, it will take 20 minutes for every 450 g of turkey, or a total of 20 minutes * (6.3 kg / 0.45 kg/450 g) = 280 minutes.

Answer:

[tex]\huge\boxed{\sf 60}[/tex]

Step-by-step explanation:

30 = a × 60

Divide both sides by 60

30/60 = a

0.5 = a

Now,

= 30/0.5

[tex]\rule[225]{225}{2}[/tex]

The probability that an endure all battery selected at random will last more than 610 hours is 0.3%

What is the Z score?

A Z-score is a metric that quantifies how closely a value relates to the mean of a set of values. Standard deviations from the mean are used to measure Z-score. If a Z-score is 0, it indicates that the data point's score is identical to the mean score.

Z score is used to determine by how many standard deviations the raw score is above or below the mean, The z score is given by:

[tex]z = \frac{x - \mu}{\sigma}[/tex]

where,

x = raw score

μ = mean

σ = standard deviation

Given that μ = 500, σ = 40, for x > 610:

z = (610 - 500) / 40

= 2.75

From the normal distribution table, P(z > 2.75) = 1 - P(z < 2.75) = 1 - 0.9970 = 0.0030 = 0.3%

Hence, the probability that an endure all battery selected at random will last more than 610 hours is 0.3%

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When data from k populations are utilized in an analysis of variance, the mean square between treatments (MSTR) = (C) SSTR/(k - 1).

A statistical method called analysis of variance (ANOVA) is used to examine variations in response variables (continuous random variables) evaluated under settings with discrete factors (classification variables, often with nominal levels).

Analysis of Variance is referred to as ANOVA.

Ronald Fisher created a statistical test in 1918, and it has been in use ever since.

Simply put, an ANOVA analysis determines if the means of three or more independent groups differ statistically.

The mean square between treatments (MSTR) equals SSTR/ when samples from k populations are used in an analysis of variance (k - 1).

Therefore, when data from k populations are utilized in an analysis of variance, the mean square between treatments (MSTR) = (C) SSTR/(k - 1).

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Correct question:
When an analysis of variance is performed on samples drawn from k populations, the mean square between treatments (MSTR) is _____.

a. sstr/k

b. sstr/nt

c. sstr/(k – 1)

d. sstr/(nt – 1)

Option d). Making the initial determination for all the information requires protection among the unauthorized disclosure where the interest of security is not a derivative classification.

Derivative Classification is the incorporating, paraphrasing, restating, or producing in new shape data this is already categorized, and staining the newly evolved fabric constant with the class markings that practice to the supply data. Copying or duplicating present categorized data, which includes photocopying a document, isn't by-product class.

Derivative classifiers are accountable for preserving the safety and integrity of categorized data. These people should own information concerning the difficulty count number of the categorized data, in addition to class control and staining techniques. Typically, there are 4 classifications for data: public, internal-only, confidential, and restricted. Let's study examples for every of those.

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Correct Question:

All of the following are steps in derivative classification EXCEPT:

a). Seek additional guidance to resolve uncertainty

b). Analyze material to be classified

c). Use authorized sources for guidance

d). Make recommendations for others to mark the new document

The point on the line is (-4, 3) and the slope of the line is m=3

Divide the "vertical change" by the "horizontal change" between (any) two distinct points on the line to find the slope.

The slope's absolute value is used to calculate the steepness, incline, or grade of a line. A line's direction can be increasing, decreasing, horizontal, or vertical.

If a line runs up from left to right, it is growing. The slope is positive, implying that m>0.

If a line falls from left to right, it is diminishing. m<0 is the slope.

A horizontal line has a slope of zero. This is a function that never changes.

Given,

y=3+3(x+4)

y-3=3(x-(-4))

Here, the point on the line is (-4, 3)

And the slope of the line is m=3

Hence, the point on the line is (-4, 3) and the slope of the line is m=3

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Answer:

D (-3,4)

Step-by-step explanation:

This is the point that the two line intersect.  From (0.0) go three units left and 4 units up.  That is where the lines cross.

Answer:

Step-by-step explanation:

x 3.2 is the answer maybe

0.8 is greater than 0.3 an image is attached to show the plotting on the number line.

A number line is a one-dimensional horizontal line where we can represent any real number. The origin of the number line is represented by zero left to it are all negative real numbers and right to it are all positive real numbers.

Given, are two decimals 0.3 and 0.8.

We know 0.3 lies between 0 and 0.5 and 0.8 lies between 0.5 and 1.

∴ 0.8 > 0.3.

The plotting of the numbers is attached in the image.

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A quadratic function in standard form that represents each area as a function of the width is; A = -x² + 20

We are told that she is enclosing a new garden and has 40 ft of fencing.

Now, let the two sides be labelled x and y.

We know that area of a rectangle is;

A = length * width

Thus;

A = xy

Now, since she has 40 ft of fencing, then it means that;

y = 0.5(40) - x

y = 20 - x

Thus, the area expressed in quadratic function formula is;

A = x(20 - x)

A = 20x - x²

A = -x² + 20

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Complete question is;

Write a quadratic function in standard form that represents each area as a function of the width.

Remember to defi ne your variables

The probability that an Endure All battery selected at random will last more than 610 hours is 0.1056.

What is a normal distribution?

A data collection with a normal distribution is put up so that the majority of the values cluster in the middle of the range and the remaining values taper off symmetrically in either direction.

Here, we have

Normally distributed with a mean of 500 hours and a standard deviation of 40 hours.

We have to calculate the probability that an endure all battery selected at random will last more than 550 hours.

Given that μ = 500, σ = 40, for x > 550

z = 550-500/40

z = 1.25

From the normal distribution table, P(z > 1.25) = 1 - P(z < 1.25) = 1 - 0.8944 = 0.1056

Hence, The probability that an Endure All battery selected at random will last more than 610 hours is 0.1056.

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Postoptimality analysis is another name for sensitivity analysis

What is sensitivity analysis?

According to a certain set of supposition, sensitivity analysis evaluates how various values of an independent variable affect a specific dependent variable. In other words, sensitivity studies look at how different types of uncertainty in a mathematical model affect the overall level of uncertainty in the model. This method is used within boundaries that are preset and depend on one or more input variables.

Both the corporate sector and the study of economics employ sensitivity analysis. It is often referred to as a what-if study and is frequently utilized by economists and financial experts.

Therefore, Postoptimality analysis is another name for sensitivity

analysis and thus option B is the correct answer

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Wolves absence would lead the rabbit population to become stable at 5,000.

Step 1. Concept

If there is a missing variable that should be in the system, set that particular variable to zero and make the necessary conclusion.

Step 2. Given,

dR/dt = 0.08R(1 - 0.00032R) - 0.001RW

dW/dt = −0.02W + 0.00002RW

Step 3. Calculation

The transformed equations of populations of rabbit and wolves will be

dR/dt = 0.08R(1 - 000.2R) - 0.001RW

dW/dt = −0.02W + 0.00002RW

Let's check the rabbit population in the absence of wolves(W) to 0

Thus,

Differential equation dR/dt

dR/dt = 0.08R(1 - 000.2R) - 0.001RW

Take W to equal to O

dR/dt = 0.08R(1 - 000.2R) - 0.001R(0)

dR/dt = 0.08R(1 - 000.2R)

When,

dR/dt = 0 we have R = 0 or R = 5,000

This,

R = 5,000 becomes the equilibrium point in the absence of wolves

Then,

0 < R < 5,000, dR/dt > 0

For R, let's estimate a value rise of the rabbit population to 5,000

Then,

R > 5,000, dR/dt < 0

Judging from the value if R, we infer a deduction in the rabbit population by 5,000

Thus,

We can conclude that wolves absence would lead the rabbit population to become stable at 5,000.

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The given statements can be expressed as

a) [tex]$p \land q$[/tex].

b) [tex]$p \land\neg q$[/tex]

c) [tex]$\neg(p \lor q)$[/tex]

d) [tex]$p \land (q \lor r)$[/tex]

e) [tex]$r \land (p \lor q)$[/tex]

f)   [tex]$r \land (p \land \neg q)$[/tex]

What is a logical expression?

A statement that can be true or false is referred to as a logical expression Depending on the values of p and q, it can be true or false. This is distinct from a mathematical expression, which represents a true statement.

The given statements are

p: it is windy.

q: it is cold.

r: it is raining.

Now

a) it is windy and cold

   This statement can be expressed as - [tex]$p \land q$[/tex].

(b) it is windy but not cold.

     This statement can be expressed as - [tex]$p \land\neg q$[/tex]

(c) it is not true that it is windy or cold. - [tex]$\neg(p \lor q)$[/tex]

(d) it is raining and it is windy or cold.  - [tex]$p \land (q \lor r)$[/tex]

(e) it is raining and windy or it is cold. [tex]$r \land (p \lor q)$[/tex]

(f) it is raining and windy but it is not cold. [tex]$r \land (p \land \neg q)$[/tex]

Hence, the given statements can be expressed as

a) [tex]$p \land q$[/tex].

b) [tex]$p \land\neg q$[/tex]

c) [tex]$\neg(p \lor q)$[/tex]

d) [tex]$p \land (q \lor r)$[/tex]

e) [tex]$r \land (p \lor q)$[/tex]

f)    [tex]$r \land (p \land \neg q)$[/tex]

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Answer:not a lot

Step-by-step explanation:

After Farmer Scott travelled for two weeks and left his acres of corn plants alone with no chemicals or other protection weeds began to grow and develop after farmer Scott returned to after the two weeks.

The farmer Scott will almost certainly come across the little weeds that had begun to sprout and flourish in his corn field while he was away this was as a result of not attending to the corn fields. The field was not safeguarded by pesticides or insecticides. The weeds would not have been eradicated for two weeks, resulting in greater growth. They will consume all of the nutrients, causing the corn plants to perish.

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Answer:

x = 4

Step-by-step explanation:

Look what the attachment

x=4

Step-by-step explanation:

2x-2+5=x+7

2x+3=x+7

2x-x=7-3

x=4

Answer:

m = 3.99

Step-by-step explanation:

50.88 = 3 + 12 * m

50.88 - 3 = 12 * m

m = 47.88 / 12 = 3.99

The maximum height reached is 21.125ft

The squirrel was at its highest point when, v=0, which occurred 2.25 seconds after it jumped.

Squirrel reaches the ground in 5.5 seconds.

What is the relation between height and velocity?

We can find velocity if equation of height is given by differentiating the equation with respect to time.

According to the given question:

The squirrel can only have reached its maximum height when its velocity equals zero.

If h=-2t^2+9t-11

Then dh/dT=v=-4t+9

A) Therefore ,at the maximum height, the velocity ,v=0.

That is, 4t=9 , consequently, t=2.25s

Therefore, when t=2.25s

h=-2(2.25)^2 + 9(2.25)-11

The maximum height reached is then h=21.125ft

B) As explained above, the squirrel was at its highest point when, v=0, which occurred 2.25seconds after it jumped.

C) The squirrel reaches the ground when h=0...

0=-2t^2+9t+11

-2t^2-2t+11t+11=0

-2t(t+1)+11(t+1)=0

(-2t+11)(t+1)=0, since t>0 for this problem...

-2t+11=0

-2t=-11

t=5.5 seconds.

Therefore, squirrel reaches the ground in 5.5 seconds.

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