What is 50% of 86? Show your work.​

Answer:

Given:

Sum of edge lengths = TSA of cube

there are 12 edges in a cube

[tex]12n = 6 {n}^{2} \\ 6 {n}^{2} - 12n = 0 \\ 6n(n - 2) = 0 \\ 6n = 0 \\ n = 0 \\ n - 2 = 0 \\ n = 2[/tex]

n ≠ 0 (since length can't be 0)

therefore n=2

69 Passengers (20 plus additional 49) will result in maximum revenue for the owner of the yacht. Maximum Revenue will be $38,088.

current: 20 passengers at $944 each

let the number of additional passengers be x

cost per passenger = 944 - 8x

revenue (R) = (20+x)(944-8x)

= 18880 - 160x + 944x -8 x^2

dR/dx = -160 + 944 - 16x = 0 for a max of R

16x = 784

x = 49

There should be an additional 49 or a total of 69 passengers

The cost per passenger would be 944-8(49) or $552 per day

Maximum revenue for the yacht:

revenue (R) = (20+x)(944-8x)

revenue (R) = (20+49)(944-8(49))

revenue (R) = (69)(944-392)

revenue (R) = $38,088

Hence , 69 Passengers (20 plus additional 49) will result in maximum revenue for the owner of the yacht. Maximum Revenue will be $38,088.

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Answer:

No, she would need to print out 4536 pages

Step-by-step explanation:

2 x 28 x 81 = 4536

Answer:

No, that does not sound right.

Ms. Stewart needs to print a total of 4,536 pages in this time!

Step-by-step explanation:

This situation is an example of ratios and proportions.

⭐What is a ratio?

⭐What is a proportion?

Let's set up the 1st ratio:

"Every school day, Ms. Stwewart prints out 2 pages of worksheets for each [student]"

1 student/2 pages

Let's set up the 2nd ratio:

"Ms. Stewart is a teacher with 28 students"

28 students/x pages

Now, we want to solve how many pages Ms. Stewart prints in a day for 28 students.

Thus, we need to set up a proportion with these 2 ratios.

Make sure the same units are on the numerator and denominator.

[tex]\frac{1}{2} = \frac{28}{x}[/tex]

Multiply LHS and RHS by [tex]\frac{1}{28}[/tex] to solve for x.

[tex]\frac{1}{2}(\frac{1}{28}) = \frac{28}{x}(\frac{1}{28})[/tex]

[tex]\frac{1}{56} = \frac{1}{x}[/tex]

∴ Ms. Stewart needs to print 56 worksheets for 1 day.

However, this isn't what the problem is asking us. We want to know how many worksheets Ms. Stewart needs to print for the coming school days.

To find out, we need to make another proportion. We only have 1 ratio so far: 56 worksheets/1 day, so we need to make another one for the coming school days.

Let's set up the 2nd ratio:

"There are 81 school days left in this school year."

y worksheets/ 81 days

Thus, we need to set up a proportion with these 2 ratios.

Make sure the same units are on the numerator and denominator.

[tex]\frac{56}{1} = \frac{y}{81}[/tex]

Multiply both sides by 81 to isolate y.

[tex]56(81) = \frac{y}{81}(81)[/tex]

[tex]y = 4,536[/tex]

∴ Ms. Stewart needs to print 4,536 worksheets for the next 81 days!

The total income produced by a continuous income stream in the first 15 years is $45,000.

What is continuous income stream?

We can see the money flowing into the account continuously rather than in a lot of discrete payments if the deposits are made often enough and the intervals between deposits are short compared to the account's overall lifespan. This scenario will be referred to as a constant revenue stream.

Given function is

f(t) = 3000

Now integrate both side of the function and the lower limit is t = 0 and upper limit is t = 15.

[tex]= \int^{15}_{0}3000 dt[/tex]

[tex]=3000[t]_0^{15}[/tex]

= 3000 [ 15 - 0]

=45000

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The probability that a seventh-grader chosen will randomly play the keyboard as a fraction in simplest form is P=0.68.

Probability is considering a numerical description of how likely an event is to occur or how likely it is true. In many situations, it is necessary to foresee how something will turn out in the actual world. We may be aware of the result of an occurrence or not. When this occurs, we state that there is a possibility that the event will occur. In general, probability has many excellent applications in gaming, commerce, and this newly growing area of artificial intelligence.

Seventh-grade students guitar= 8

All total students' guitar = 8+8+7+2

= 25

A instruments other than guitar = 25-8

= 17

So, p = 17/25

= 0.68

Here we use simple random sampling n/n. Thus, the answer is 0.68.

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You have an element range of the equation y = 2x - 7 for the domain of 4, 3, 2 with values of -15, -13, and -11.

The difference between the highest and lowest values in a set of numbers is known as the range. Subtract the lowest value in the distribution from the highest to determine it.

Between the lowest and greatest numbers, there is a range. In the example,{4, 6, 9, 3, 7}  the lowest value is 3, and the highest is 9. The range then equals 9 - 3 = 6.

Here the explanation ,

The R domain xx.

R' is the range yy.

Y=2x7 is the equation of a line with slope m=2, and the domain and range of any line with m 0 and m are all real values.

The R domain xx. R is the range "y"

You have a range of -15, -13, and -11.

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The Euler, explicit Trapezoid, and fourth-order Runge-Kutta methods were applied to a given initial value problem on a grid/mesh of step-size h=0.1 in [0,1]. The results were printed in a table, showing the t values, approximations, and global error at each step.

Euler Method

t Approximation Global Error

0 1 0

0.1 1.011 -0.011

0.2 1.0454 -0.0454

0.3 1.1044 -0.1044

0.4 1.1921 -0.1921

0.5 1.3125 -0.3125

0.6 1.4713 -0.4713

0.7 1.6749 -0.6749

0.8 1.9301 -0.9301

0.9 2.2447 -1.2447

1 2.63 -1.63

Explicit Trapezoid Method

t Approximation Global Error

0 1 0

0.1 1.0055 -0.0055

0.2 1.0246 -0.0246

0.3 1.0592 -0.0592

0.4 1.1021 -0.1021

0.5 1.1564

The Euler method is a numerical technique for solving initial-value problems, which involves approximating the solution of a differential equation by the combination of a series of tangent lines. The explicit trapezoid method is an improved version of the Euler method, which uses the average of two slopes instead of the slope at the previous point whencalculating the next approximation. The fourth-order Runge-Kutta method is a technique that uses a weighted average of four different slopes at different points to approximate the solution of a differential equation.

For the given initial value problem, we applied the Euler method, the explicit Trapezoid method, and the fourth-order Runge-Kutta method on a grid/mesh of step-size h=0.1 in [0,1]. We printed a table of the t values, approximations, and global error at each step.

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The expression represents the difference between the two temperatures is  d = 9°C  + 2°C

The difference between two number a and b is d = a - b

Since Lauren woke up one morning and saw frost on the windows. It was -2°C outside. Later in the day, the frost melted. At 3 p.m. it was 9°C outside.

To find the expression that represents the difference between the two temperatures, we know that the difference is d = a - b where

Given that

Substituting the values of the variables into the difference equation, we have that

d = a - b

d = 9°C  - (-2°C)

d = 9°C  + 2°C

So, the difference is d = 9°C  + 2°C

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Answer:

$5.25 C

Step-by-step explanation:

17 student = $89.25

per student(1) = x

cross multiply

17x = $89.25

x = $89.25/17

x = $5.25

RATE AS BRAINLIEST

Answer:

5.25

Step-by-step explanation:

the person above is right

Based on the information, we may conclude that there are  210 options to answer the given question.

Combination refers to choosing all or a portion of a group of objects, regardless of their order of selection.

Consider a group of three characters,

therefore the combination will be,  

nCr = n! / r! ( n - r)!

The number of ways in which this business can purchase them are

35 X 6 =

210 ways

A combination in mathematics is a method of choosing items from a collection where the order of the choices is irrelevant. Consider a group of three numbers, P, Q, and R. The number of ways that we can choose two numbers from each group is thus determined by combination.

It is easy to count the number of combinations in smaller cases, but cases with more groups of elements or sets also have a higher likelihood of a set of combinations. As a result, a formula for calculating the number of items that could be chosen has been developed.

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Therefore, The necessary midpoints are Mz(1 1/5, 3 1/4), My (-0.3, 3.25), and Mx(1/2, 9).

Sometimes you have to locate the precise midpoint between two other plane point. You might, for instance, wish to locate a line that divides a given line segment into two equal halves. The "halfway" is the name given to this midpoint.

Here,

M can be used to indicate where two coordinates (x, y) and (a, b) meet in the middle (s, t)

s = x +a/2; t = y +b/2

Mid points

For P(3, 5), Q (-2, 13)

s = 3 - 2 / 2 ; t = 5 + 13 /2

1 / 2 =s ;

t= 9

Mx(1/2, 9) is a midpoint.

For P(-2, 2.5), Q (1.4, 4)

s = -2 + 1.4 / 2 ; t = 2.5 + 4 / 2

s = -0.3 ; t = 3.25

My middle (-0.3, 3.25)

For P(4 1/3, 3 1/6), Q (-2 1/5, 3 2/3)

s = (4 1 / 3 - 2 1/5 ) / 2 ; t = (3 1/6 + 3 2/3) / 2

s = 1 1/15        : t = 3 1/4

Midpoints Mz(1 1/5, 3 1/4)

Thus, the required midpoints are  Mx(1/2, 9), My (-0.3, 3.25) and  Mz(1 1/5, 3 1/4).

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Rational Function: any function that is found by a rational fraction.

Its form: [tex]\frac{1}{x}[/tex]

Finding Zeros of  a Rational Function:

[tex]f(x)=\frac{(x-3)(x+2)}{(x-5)(x-3)}[/tex]

   2. Find restrictions by equating the denominator to 0

[tex]x-5=0[/tex]                [tex]x-3=0[/tex]      when x=-5 and 3, the function is undefined

[tex]x=-5[/tex]                   [tex]x=3[/tex]

  3. Set the numerator equal to zero

[tex]x-3=0[/tex]              [tex]x+2=0[/tex]  

[tex]x=3[/tex]                    [tex]x=-2[/tex]

Be careful - since we have x-3 on both the numerator and denominator the graph will not intersect the x-axis at that point. This is what is called a removable discontinuity.

Therefore, the only zero occurs at (-2,0)

a) The hypotheses are given as follows:

b) The test statistic is given as follows: [tex]\chi^2 = 37.79[/tex]

c) The p-value is given as follows: 0.61

d) The conclusion is given as follows: There is not enough evidence to conclude that the pulse rates of men have a standard deviation different of 10 bears per minute.

At the null hypothesis, it is tested if there is not evidence to conclude that the pulse rates of men have a standard deviation different of 10 bears per minute, that is:

[tex]H_0: \sigma = 10[/tex]

At the alternative hypotheses, it is tested if there is enough evidence to conclude that the standard deviation is different of 10, that is:

[tex]H_1: \sigma \neq 10[/tex]

The equation for the test statistic is given as follows:

[tex]\chi^2 = \frac{(n - 1)s^2}{\sigma^2}[/tex]

In which:

The parameters for this problem are given as follows:

[tex]n = 42, s = 9.6, \sigma = 10[/tex]

Hence the test statistic is calculated as follows:

[tex]\chi^2 = \frac{(n - 1)s^2}{\sigma^2}[/tex]

[tex]\chi^2 = \frac{41 \times 9.6^2}{10^2}[/tex]

[tex]\chi^2 = 37.79[/tex]

Using a chi-square distribution calculator, with a two-tailed test, as we are testing if the standard deviation is different of a value, with 42 - 1 = 41 df and [tex]\chi^2 = 37.79[/tex], the p-value is given as follows:

0.61.

As the p-value is greater than the significance level of 0.10, the conclusion is given as follows: There is not enough evidence to conclude that the pulse rates of men have a standard deviation different of 10 bears per minute.

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A/d is equal to c/b if a, b, c, and d are positive real numbers that form an increasing arithmetic sequence and a, b, d, a geometric sequence.

Since a, b, c, d form an increasing arithmetic sequence, we can write them as

a = x,

b = x + d,

c = x + 2d

Also, since a, b, d form a geometric sequence, we have

a = bx, d = b2

Substituting the values in the equation for c and d, we get

c = x + 2b2

Now, dividing both sides by b, we get

a/d = c/b

=> a/d = (x + 2b2)/b

=> a/d = x/b + 2b

=> a/d = c/b

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Therefore solution to this problem is  the  function is odd if  f(-x) = -f (x).

In mathematics, a function from a set X to a set Y assigns each element of X precisely one element of Y. The domain and codomain of the function, respectively, are the sets X and Y.

Here,

We can know the function is even or odd by substituting the values in the function f(x) as f(-x)

Thus

If f(-x) = f, then f(x) is an even function (x). If the function is odd, then f(-x) = -f (x). Reflection symmetry around the y-axis exists for an even function. The rotational symmetry of an odd function is at the origin.

Therefore the  function is odd if  f(-x) = -f (x).

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Answer:

circulation was 2,250. In 2020, the circulation was 2,350.

Step-by-step explanation:

To find the range of a function: consider a function y = f(x). The spread of all the y values from minimum to maximum is the range of the function. In the given expression of y, replace all the values of x to investigate whether it is positive, negative or equal to other values.

The range of a function is the complete set of all possible resulting or output values of the dependent variable (usually labeled by y), after we have replaced the domain. Typically, this will be represented by the letter y or f(x). The range is any number that you can get when you plug in any number for x.

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Answer: -12

Step-by-step explanation:

Probability can be used to make predictions or decisions in a variety of situations, such as in gambling, finance, and science. In these situations, probabilities can be calculated based on statistical data or by using mathematical models.

To find the probability of making all 3 free throws, we can use the formula for the probability of an independent event occurring multiple times:

P(A) * P(A) * P(A) = P(A^3).

To find the probability of missing all 3 free throws, we can use the same formula with the probability of missing a single free throw, which is 1 - 0.91 = 0.09.

Plugging this into the formula gives us 0.09 * 0.09 * 0.09 = 0.0029.

To find the probability of making at least one free throw, we can subtract the probability of missing all 3 free throws from 1. 1 - 0.0029 = 0.9710.In this case, P(A) is the probability of making a single free throw, which is 0.91.

Plugging this into the formula gives us 0.91 * 0.91 * 0.91 = 0.8281.

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A set of procedures in which the sample size and sample statistics are used to make estimates of population values or facts is generalization. (Option D)

Statistical generalization refers to the inference of the results from a sample and applying it to a population. It involves statistically calculating the likely parameters of a population using data from a random sample of that population i.e., the sample must be selected randomly, and sample size must be large enough to be considered a representative of the population. Generalization is an essential component of the wider scientific process where researchers evaluate how well researchers consider their experimental results i.e., sample statistics from a sample can be extended to the population as a whole. Hence, generalization is used to make estimates of population values or facts.

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The origin is the point in the rectangle coordinate system which is located on the point of intersection of the x-axis and y-axis.

The four parts of the cartesian plane divided by the x-axis and the y-axis are,

Quadrant 1, Quadrant 2, Quadrant 3 and Quadrant 4.

Given, a cartesian plane divided by x-axis and y-axis.

we have to mention the four regions created by intersection of the x-axis and the y-axis.

Also, we have to mention the intersection of the x-axis and y-axis in the coordinate.

The intersection point of the x-axis and the y-axis is the point on cartesian plane and known as Origin.

The four parts of the cartesian plane divided by the x-axis and the y-axis are,

Quadrant 1, Quadrant 2, Quadrant 3 and Quadrant 4.

Also, The origin is the point in the rectangle coordinate system which is located on the point of intersection of the x-axis and y-axis.

Hence, the origin is the point in the rectangle coordinate system which is located on the point of intersection of the x-axis and y-axis.

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The value of x is 5.

What is a angle of a triangle?

In a triangle, there are three angles. These angles are created by the triangle's two sides coming together at the triangle's vertex. Three inner angles added together equal 180 degrees. The side length generates an outside angle if we stretch it outside.

Given that, ∠KLM = 81°,  ∠LKM = 4x°, and ∠KMN = (13x+36)°.

Theorem of exterior angle:

If a triangle side is created, the outside angle that results is equal to the product of the two opposite internal angles.

According to theorem of exterior angle,

∠KMN = ∠KLM + ∠LKM

(13x+36)° = 81° + 4x°

Subtract 4x from both sides:

9x + 36 = 81

Subtract 36 from both sides:

9x = 45

Divide both sides by 9:

x = 5

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_______________________________________________________

1. Convert element to fraction: [tex]3=\frac{3}{1}[/tex]

[tex]\frac{3}{1} * \frac{3}{5}[/tex]

2. Apply the fraction rule: [tex]\frac{a}{b}* \frac{c}{d}=\frac{a*c}{b*d}[/tex]

[tex]\frac{3*3}{1*5}[/tex]

3. Multiply the numbers: [tex]3 * 3=9[/tex]

[tex]\frac{9}{1*5}[/tex]

4. Multiply the numbers: [tex]1*5=5[/tex]

[tex]\frac{9}{5}[/tex]

^Hence, our solution.

_________________________________

Hope this helps!

The casino becomes suspicious of the gambler and wishes to determine whether the dice are fair and they conclude that the dice are not fair .

Given :

A new casino game involves rolling 3 dice. The winnings are directly proportional to the total number of sixes rolled. Suppose a gambler plays the game 100 times, with the following observed counts:

For the given scenario, we can write the hypotheses as:

[tex]H_0[/tex] : Dice are fair

[tex]H_1[/tex] : Dice are not fair

The expected value is 101 / 4 = 25.25

The test static is X^2 = Σ ( O - E )^2 / E

= 48.03

Degrees of freedom df = n - 1

= 4 - 1

= 3

P-value:

if we consider a 5% level of significance,

P-value = 0.00001

If the p-value is less than the level of significance, we reject the null hypothesis.

Here, 0.00001 < 0.05

Hence, we reject the null hypothesis.

So dice are not fair.

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Solution of the equation 6x−5(6x+39)=−75 is x=5.

Two algebraic expressions having same value and symbol '=' in between are called as an equation.

We have the equation,

6x−5(6x+39) = −75.

In order to solve the equation for x:

We will find the value of x.

First, we solve parenthesis.

6x−5(6x+39) = −75

6x - 30x - 195 = -75

Taking constant terms to the right side of the equation,

6x - 30x = 195 - 75

-24x = 120

x = -120 / 24

x = -5

This is the required solution.

Therefore, The value of x is 5.

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(a) The probability that a 0 is received is 66.7%

(b) By using the Bayes theorem, the probability that a 0 was transmitted, given that a 0 was received is 90%

Probability:

In statistics, probability deals with finding out the likelihood of the occurrence of an event.

Given,

Here the space probe near Neptune communicates with earth using bit strings. suppose that in its transmissions it sends a 1 one-third of the time and a 0 two-thirds of the time. when a 0 is sent, the probability that it is received correctly is 0.6 and the probability that it is received incorrectly (as a 1) is 0.4. when a 1 is sent the probability that it is received correctly is 0.8 and the probability that it is received incorrectly (as a 0) is 0.2.

Now, we have to find the probability of the following.

Here the probability that a 0 is received is calculated as,

=> 0.9 of 2/3(0 received when a 0 is sent) and 0.2 of 1/3(0 received when a 1 is sent). So

Now, the probability is

=> p = (0.9 x 2)/3 + (0.2 x 1)/3

=> p = 0.6667

When we convert this into percentage then we get, 66.67% probability that a 0 is received.

Similarly, by using the Bayes theorem, the probability that a 0 was transmitted, given that a 0 was received is calculated as,

Here we know that, Event A: 0 received and Event B: 0 transmitted.

Then 0.6667 = 66.67% probability that a 0 is received, which means that

P(A) = 66.7%

And the zero is transmitted two-thirds of time, which means that

P(B) = 66.7%

Where as if 0 is sent, then the probability that it is received correctly is 0.9, which means that

P(A|B) =0.9

Therefore, the probability is

=> 66.7 x 0.9/66.7

=> 0.9

We know that 0.9 = 90% probability that a 0 was transmitted, given that a 0 was received.

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The rate of decrease of this function is constant so it is a linear function.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

From the given table we can observe or conclude that the as x coordinate is increasing by 1 unit y coordinate is decreasing by 2 units.

So this is a linear function as the rate of increase or decrease is the same.

The points are (1, 1), (2, - 1), (3, - 3), (4, - 5), (5, - 7), and (6, - 9).

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Answer:

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

Given is the parallelogram.

Properties:

Solve the following:

Answer:

w = 72°

x = 36°

2x = 72°

3x = 108°

y = 72°

z = 108°

Step-by-step explanation:

The arrows on the sides of figure ABCD indicate that opposite sides are parallel.  Therefore, ABCD is a parallelogram.

In a parallelogram:

As adjacent angles sum to 180°:

⇒ m∠A + m∠B = 180°

⇒ 3x + 2x = 180°

⇒ 5x = 180°

⇒ x = 36°

Therefore:

⇒ m∠A = 3(36) = 108°

⇒ m∠B = 2(36) = 72°

As opposite angles are equal:

⇒ y = m∠D = m∠B = 72°

⇒ z = m∠BCD = m∠A = 108°

Angles on a straight line sum to 180°:

⇒ z + w = 180°

⇒ 108° + w = 180°

⇒ w = 72°

When it come to figuring taxes what you have to do is multiply the amount by what percent the tax is then you add or subtract from the amount. If you don't know how to convert a percentage to a decimal divide the percentage by 100. Always remember to round to the nearest hundredths when dealing with money.

SS: $125 x 0.062 = $7.75    Med: $125 x 0.0145 = $1.81

SS: $432 x 0.062 = $26.78    Med: $432 x 0.0145 = $6.26

SS: $241 x 0.062 = $14.94    Med: $241 x 0.0145 = $3.49

SS: $1,562 x 0.062 = $96.84    Med: $1,562 x 0.0145 = $22.65

Answer:

1000

Step-by-step explanation: