Two new DVDs, a horror film and a comedy film, are released in the same week. The weekly number N of rentals decreases for the horror film and increases for the comedy film according to the models

Answer:

The missing x = 0.675 m

Step-by-step explanation:

In similar triangles, the corresponding sides are proportion (means their ratios are equal)

In the given figure

∵ The two triangles are similar

∴ Their corresponding sides are proportion

∵ The sides of lengths 1.8 m and x are corresponding sides

∵ The sides of lengths 8.0 m and 3.0 are corresponding sides

∴ \(\frac{1.8}{x}\) = \(\frac{8.0}{3.0}\)

→ By using cross multiplication

∴ x × 8.0 = 1.8 × 3.0

∴ 8x = 5.4

→ Divide both sides by 8

∵ \(\frac{8x}{8}\) = \(\frac{5.4}{8}\)

∴ x = 0.675

→ No rounding because there is no digit after the thousandth digit

∴ x = 0.675 m

Answer:

160.65 lb

Step-by-step explanation:

4*18.9 = 75.6 lb

8.5*18.9 = 160.65 lb

Answer:

-15,-9,-3,3,9

Step-by-step explanation:

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

The two sides of the triangles stated above are equal to one another and the one side in common between them, so the Correct criteria to prove them congruent is :

Answer:

9+x+(x+2)=29

Step-by-step explanation:

9+x+(x+2)=29

The differential equation dQ(t)/dt = -kQ(t) is used to described the given situation.

The differential equation describing the given situation is:

dQ(t)/dt = -k * Q(t)

In this equation, dQ(t)/dt represents the rate of change of the amount of dissolved chemicals with respect to time t. The negative sign indicates that the amount of dissolved chemicals decreases over time.

The right side of the equation, -k * Q(t), represents the proportional relationship between the rate of change and the amount of undissolved chemicals. The constant k is the positive proportionality constant, indicating the speed at which the chemicals dissolve.

By solving this differential equation, we can determine the behavior and solution for the amount of dissolved chemicals over time in the given water-based solution.

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The rational numbers are -5/2, 0,  4¹/₅, and 95.

A rational number is one that can be stated mathematically as the ratio or fraction p/q of two numbers, where p and q are the numerator and denominator, respectively.

A rational number is any number that can be expressed as the ratio of two integers, where the denominator is not zero.

From the list you provided, the rational numbers are:

(1) -5/2 (since it can be expressed as -5 divided by 2, where -5 and 2 are integers and the denominator is not zero)

(2) 0 (since it can be expressed as 0 divided by any non-zero integer)

(3) 4¹/₅(since it can be expressed as the fraction 21/5 or 4.2, where 21 and 5 are integers and the denominator is not zero).

(4) 95 is a rational number because it can be expressed as a ratio of two integers.

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By answering the above question, we may state that probability  As a result, there is a 60% chance that Mitsugu will have a quiz on Wednesday, Thursday, or Friday.

Mathematicians use probability theory to determine the chance that an event will occur or a statement is true. A probability of about 0 reflects how probable an event appears to occur, whereas a risk is a value between 0 and 1, where 1 suggests certainty. Probability is a mathematical representation of the likelihood that a specific event will take place. Other ways to express probabilities are as integers between 0 and 1 or as percentages between 0% and 100%. the ratio of events among equally likely options that lead to a certain event to all other outcomes.

We must sum the chances that Mitsugu will have a test on each of the following days in order to determine the likelihood that Mitsugu will test on Wednesday, Thursday, or Friday:

Wednesday or Thursday or Friday equals Wednesday plus Thursday plus Friday (Friday)

We can see from the given table that there is a 0.2 percent chance of a quiz on Wednesday, a 0.15 percent chance on Thursday, and a 0.25 percent chance on Friday. Hence, we may enter the following numbers in the formula above:

P(Thursday, Friday, or Wednesday) = 0.2 + 0.15 + 0.25 = 0.6

As a result, there is a 60% chance that Mitsugu will have a quiz on Wednesday, Thursday, or Friday.

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The value of ║5p-3q║=180°.

It is given that line l₁ & l₂ are parallel and l₂ & l₃ are transversal then

they must follow the property that the alternate exterior angles must be equal i.e. ∠ q = 135°.

Also ∠ p + ∠ q = 180°.

Therefore, ∠ p = 45°.

Now to solve ║5p-3q║, substituting the values of p & q in the given equation

║5*45 - 3*135║ = 180°.

Hence, ║5p-3q║=180°.

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Numbers greater than 1: 3.2 × 10⁵, 2.2 × 10³, 2.4 × 10³, 2.5 × 10⁴.- Numbers between 0 and 1: 1.9 × 10^⁻¹.- Numbers less than 1: 5.9 × 10², 6.1 × 10¹.

The given numbers can be classified according to their values into three categories:

numbers greater than 1, numbers between 0 and 1, and numbers less than 1.


1. Numbers greater than 1:
- 3.2 × 10⁵:

This number is in scientific notation, where 10⁵ means multiplying the number by 10 five times.

So, 3.2 × 10⁵ = 3.2 × 100,000 = 320,000.
- 2.2 × 10³: Similarly, 2.2 × 10³ = 2.2 × 1,000 = 2,200.
- 2.4 × 10³: This number is the same as the previous one, so it also belongs to the category of numbers greater than 1.
- 2.5 × 10⁴: Similar to the previous numbers, 2.5 × 10⁴ = 2.5 × 10,000 = 25,000.

2. Numbers between 0 and 1:
- 1.9 × 10⁻¹ : Here, 10⁻¹ means dividing the number by 10 once. So, 1.9 × 10⁻¹ = 1.9 ÷ 10 = 0.19.

3. Numbers less than 1:
- 5.9 × 10²: This number is between 1 and 10, so it belongs to the category of numbers less than 1.
- 6.1 × 10¹: Similarly, 6.1 × 10^1 = 6.1 × 10 = 61.


- Numbers greater than 1: 3.2 × 10⁵, 2.2 × 10³, 2.4 × 10³, 2.5 × 10⁴.
- Numbers between 0 and 1: 1.9 × 10^⁻¹.
- Numbers less than 1: 5.9 × 10², 6.1 × 10¹.

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The equation of the line is y = 1/2x + 2

First, we need to know that the formula that is used to represent the equation of a line is expressed as;

y = mx + c

Such that the parameters are enumerated as;

Using the formula for slope of a line, we have that;

Slope, m = 4 - 2/0 - 4

Subtract the values

Slope, m = 2/-4

Divide the values

Slope, m = -1/2

But intercept, c = 2

Then, we have that;

y = 1/2x + 2

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Answer:

Step-by-step explanation:

Answer:

9/16

Step-by-step explanation:

9 and 16 have no common factors therefore cant be simplified

\(y=\cfrac{2}{7}x~~ - ~~6\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)

False, the population mean will always not be the same as the mean of all possible that can be computed from samples of size 15.

The mean of all possible samples of size 15 (also known as the sampling distribution mean) will be centered around the population mean, but it may not necessarily be exactly the same as the population mean. The sampling distribution mean can be thought of as an estimate of the population mean, and its accuracy will depend on factors such as the sample size and the variability of the population. However, as the sample size increases, the sampling distribution mean will become a better and more accurate estimate of the population mean.

In statistics, a sample is a subset of a population that is used to estimate or infer information about the population. The mean of a sample is the average of the observations in the sample, and the population mean is the average of all the observations in the entire population.

The mean of all possible samples of a fixed size, taken from a population, is called the sampling distribution mean. The sampling distribution mean is a theoretical concept and is not based on any specific sample. It is the distribution of all possible sample means that could be obtained from the population.

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The exact distance between the planes, using radicals as needed, is d = 6√62 / 62.

To find the distance d between the two planes 6x + 5y + z = 54 and 6x + 5y + z = 48, we can use the formula for the distance between parallel planes:

d = |C1 - C2| / √(A^2 + B^2 + C^2)

where A, B, and C are the coefficients of the x, y, and z terms respectively, and C1 and C2 are the constants in the two equations.

In this case, A = 6, B = 5, C = 1, C1 = 54, and C2 = 48. Plugging these values into the formula, we get:

d = |54 - 48| / √(6^2 + 5^2 + 1^2)
d = 6 / √(36 + 25 + 1)
d = 6 / √62

So the distance between the two planes is d = 6/√62. You can simplify this expression by rationalizing the denominator:

d = (6/√62) * (√62/√62)
d = 6√62 / 62

Thus, the exact distance between the planes, using radicals as needed, is d = 6√62 / 62.

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For a sample of hospitals related to shorten the average length of stay (LOS) of their patients,

A) The 90% confidence interval to estimate the population mean LOS are 3.3362 and 4.2638.

B) The Interpreted interval in terms of this application is equals to (3.3362,4.2638).

C) The meaning of phrase "90% confidence interval" is number that fall within the upper as well as lower boundaries of distribution.

We have a health insurers and federal government ordered to hospitals regarding to short or decrease the average length of stay of their patients.

population Mean of LOS = 4.5 days

Sample size of hospitals, n = 20

Sample mean, \( \bar x\) = 3.8days

Standard deviations, \( \sigma\)

= 1.2 days

A) The population estimate mean LOS for the state's hospitals at 90% confidence interval,

The degrees of freedom, df = 20 -1

= 19

90% confidence interval then the confidence interval is 0.90. So, 1 −∝

= 0.90

=> ∝ = 0.1

=> ∝/2= 0.05

The critical t value for confidence 0.05 and degree of freedom 19 is equals 1.72.

Using the confidence interval formula,

\( \bar x ± t_{(0.05, 19)} \frac{\sigma}{\sqrt{n}}\)

\( 3.8 ± 1.729\frac{1.2}{\sqrt{20}}\)

= (3.3362,4.2638)

So, required values are 3.3362 and 4.2638.

(b) In terms of this application, the interval, 90 percent confident that the populations mean length of remain (LOS) for the state’s hospitals(μ) lies among 3.3362 and 4.2638.

c) The term 90% confidence interval expresses a number that will fall within the upper as well as lower boundaries of a probability distribution.

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Answer:  - 6

Step-by-step explanation:

The only way that you can have infinite solutions is if you try to solve and the answer is something like 1=1, or something that will always be true no matter what.

Solving 5x+(-6)=5x–6:

5x-6=5x–6      /subtract 5x from both sides

-6 = -6

Now we can't solve since there's no x, and -6 = -6 so there are infinite solutions.

By using the concept of cryptography, it can be concluded that

A solution that is now widely used to allow two parties to secretly exchange keys is Deffie - Hellman protocol

What is cryptography?

Cryptography refers to secure information and communication techniques derived from mathematical concepts and a set of rule-based calculations called algorithms, to transform messages in ways that are hard to decipher.

This is a concept of Cryptography

Diffie–Hellman key exchange establishes a shared secret between two parties which will be used for secret communication for exchanging data over a public network.

A solution that is now widely used to allow two parties to secretly exchange keys is Diffie - Hellman protocol

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Ricardo will be left with $23.92 after 3 hours of Jet ski riding

Ricardo is on vacation so he went jet skiing

The Jet ski has a rental flat rate of $25

They also charge $17.75 per hour

Ricardo had $102.17

The amount spent in 3 hours is

17.75(3) + 25

= 53.25 + 25

= 78.25

The amount left is

= 102.17 - 78.25

= 23.92

Hence Ricardo has $23.92 left after the Jet ski ride

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Answer:

108

Step-by-step explanation:

You divide by 6 each time

Answer:

The ratio is 3:8

Step-by-step explanation:

The circumference of a circle can be calculated using the formula;

C = 2 * pi * r

for 9 inches;

C = 2 * pi * 9 = 18 pi inches

For 24 inches;

C = 2 * pi * 24 = 24 pi inches

The ratio is thus;

18 pi : 48 pi

divide through by 6 pi

= 3: 8

Stronger evidence against the null hypothesis is indicated by: smaller p-values.

A statistical conjecture known as a null hypothesis asserts that certain features of a population or data-generating process are not different from one another.

A mechanism to reject the null hypothesis with a predetermined level of confidence is provided by hypothesis testing.

The alternative hypothesis is supported if the null hypothesis can be rejected.

The foundation of the scientific falsification principle is null hypothesis testing. The null hypothesis presupposes that any variation in the selected characteristics you observe in a set of data is the result of chance.

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Contribution margin is the excess of sales revenue over total variable costs. This means that all of the answer choices are correct.

Contribution margin is an important financial metric used in managerial accounting to assess the profitability of a company's products or services. It represents the amount of revenue available to cover fixed costs and contribute to the company's operating income. The contribution margin is calculated by subtracting the total variable costs from the sales revenue. Variable costs are expenses that vary directly with the level of production or sales, such as direct materials, direct labor, and variable overhead. Fixed costs, on the other hand, remain constant regardless of the level of production or sales. By analyzing the contribution margin, managers can make informed decisions regarding pricing strategies, product mix, and cost control measures. A higher contribution margin indicates that a greater portion of each sales dollar is available to cover fixed costs and generate profits. It is important for companies to maintain a healthy contribution margin to ensure their long-term financial viability.

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Answer:

m

------- <------ fraction bar means divide too

z + u

Hope this helps :)

The limit of lim (x − 9)/ (x² − 81)  using the l'Hospital's Rule is 1/18.

                  x→9

We can directly substitute the value 9 in the given limit expression.

We get,

lim (x − 9)/ (x² − 81) = (9 - 9)/(9^2 - 81)

= 0/0

The given limit is in indeterminate form. We can apply L'Hospital's rule here.

Differentiating both the numerator and the denominator with respect to x, we get,

lim (x − 9)/ (x² − 81) = lim (1)/(2x)

Now we can directly substitute the value of x in the above expression.

lim (x − 9)/ (x² − 81) = lim (1)/(2x) = 1/18

Therefore, the limit of the given expression is 1/18.

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Answer:

Right.

Step-by-step explanation:

The answer is right on edge2020 I just took the test.

The direction in which the parabola will open is; To the right

We are given;

The vertex of the parabola is at (0, 0)

Directrix of the parabola is x = -4

We know that when the vertex of the parabola is (0, 0) and the directrix is x = - a, the parabola will have the form;

y² = 4ax

Thus, we can conclude that the parabola opens towards the right.

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Three different ways to represent 8/4 as the sum of fractions are: 2/1 + 2/1, 4/2 + 0/2, and 6/3 + 2/3.

Here are three different ways to write 8/4 as the sum of fractions:

8/4 = 2/1 + 2/1

Explanation: We can break down 8/4 into two fractions, both of which have a numerator of 2 and a denominator of 1. When we add these fractions together, we get 8/4.

8/4 = 4/2 + 0/2

Explanation: Another way to represent 8/4 as the sum of fractions is by using equivalent fractions. We can rewrite 8/4 as 4/2, which is equal to 2, and then add 0/2 to it. Adding 0/2 does not change the value of 4/2, so the sum is still equal to 8/4.

8/4 = 6/3 + 2/3

Explanation: We can also express 8/4 as the sum of fractions with a common denominator. By rewriting both fractions with a denominator of 3, we get 6/3 + 2/3, which equals 8/3.

In summary, three different ways to represent 8/4 as the sum of fractions are: 2/1 + 2/1, 4/2 + 0/2, and 6/3 + 2/3.

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Answer:

Haiiii xhfhdry8vfijfgrazfh,