I need help with #12 MULTIPLE CHOICE

Answer:-4

Step-by-step explanation:this is where the line crosses the x axis or the value when y=0

It is known that the new variant of COVID-19 is 80% contagious among adolescents to young adults. a) 1/1024 is the probability that no one will get the virus. b) 9/1024 is the probability that exactly I will get the virus. The expected number of people to get the virus is 8.

We need to assume that each individual's chance of getting the virus is independent of others and follows a binomial distribution.

a. Probability that no one will get the virus:

The probability that an individual does not get the virus is 1 - 0.8 = 0.2. Since the chances are independent, the probability that no one will get the virus out of 10 people is (0.2)¹⁰ = 1/1024.

b. Probability that exactly I will get the virus:

Since there are 10 people and the virus is 80% contagious, the probability of an individual getting the virus is 0.8. Therefore, the probability that exactly one person (I) will get the virus while the others don't is 10 * (0.8) * (0.2)⁹ = 9/1024.

c. Probability that more than half will get the virus:

To find the probability that more than half (6 or more) will get the virus, we can sum the probabilities of 6, 7, 8, 9, and 10 people getting the virus. Using binomial probability calculations, the probability can be found as follows:

P(X > 5) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)

d. Expected number of people getting the virus:

The expected number of people getting the virus can be calculated using the formula: E(X) = n * p, where n is the number of trials (10 in this case) and p is the probability of success (0.8).

E(X) = 10 * 0.8 = 8

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Answer:

6 - 3.5 = 2.5

Step-by-step explanation:

— g equals 4.3

you: but how ⁉

— me: because, 6.1 - 1.8 = 4.3 and 1.8 + 4.3 = 6.1

Based on the weighted mean, the store owner should always try to keep the 105cm belt in stock.

To determine which size of belt the store owner should always try to keep in stock, we can use the weighted mean as the appropriate average.

the given data:

1. Multiply the length of each belt by its corresponding frequency:
80cm * 6 = 480
85cm * 16 = 1360
90cm * 28 = 2520
95cm * 41 = 3895
100cm * 17 = 1700
105cm * 18 = 1890
110cm * 10 = 1100
115cm * 13 = 1495

2. Sum up the products obtained in step 1:
480 + 1360 + 2520 + 3895 + 1700 + 1890 + 1100 + 1495 = 15440

3. Calculate the sum of the frequencies:
6 + 16 + 28 + 41 + 17 + 18 + 10 + 13 = 149

4. Divide the sum of the products by the sum of the frequencies to find the weighted mean:
15440 / 149 ≈ 103.56

Based on the weighted mean, the store owner should always try to keep the 105cm belt in stock, as it is the closest size to the calculated average.

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Answer:

Step-by-step explanation:

You want the measures of the angles marked x° and y° in the given diagram.

The measure of an inscribed angle is half the measure of the arc it intercepts. This means any inscribed angles that intercept the same arc will have the same measure.

The inscribed angles with vertices J and K both intercept arc FH, so both have the marked measure of 56°.

  x = 56

The angle where the chords cross (y°) will be half the sum of the arcs those chords intercept. Here, those are arcs FH and JK.

Given that half the arc measure is the measure of the intercepting inscribed angle, we can simply sum the inscribed angles to get y°:

  y° = 56° +19° = 75°

  y = 75

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Answer: Total (Bill + Tip ) = $ 16 ( Tip = 3$ )

Step-by-step explanation:

i only have the answer :3

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\(y = {x}^{2} - x - 20\)

\(y = (x - 5)(x + 4)\)

To find the zeroes , Just need to put 0 instead of y .

\(0 = (x - 5)(x + 4)\)

\((x - 5)(x + 4) = 0\)

_________________________________

Hint :

\(a \times b = 0\)

\(a = 0 \: \: \: or \: \: \: b = 0\)

_________________________________

\(x - 5 = 0\)

Add sides 5

\(x - 5 + 5 = 0 + 5\)

\(x = 5\)

Or

\(x + 4 = 0\)

Subtract sides 4

\(x + 4 - 4 = 0 - 4\)

\(x = - 4\)

Thus the zeroes are :

( - 4 , 0 ) and ( 5 , 0 ) .

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Answer:

yes

Step-by-step explanation:

The number of children is 379 and the number of the adults is 339.

A system of equations in algebra consists of two or more equations and looks for common answers to the equations. "A collection of equations fulfilled by the same set of variables is called a system of linear equations."

Let us suppose the number of children = C, and the number of adults = A.

Given that, 718 people used the public swimming pool:

C + A = 718 people

The cost for one child is 1.25 for children, then the cost for C child is: 1.25C

The cost for one adult is 2.00 for adults, then the cost for A adults is: 2A

The receipts for admission totaled 1151.75:

1.25C + 2A = 1151.75

The two equations are:

C + A = 718

1.25C + 2A = 1151.75

For the first equation we can write:

C + A = 718

C = 718 - A

Substitute the value of C in second equation:

1.25(718 - A) + 2A = 1151.75

897.5 - 1.25A + 2A = 1151.75

0.75A = 254.25

A = 339

Substituting the value of A in the first equation we have:

C + A = 718

C + 339 = 718

C = 379

Hence, the number of children is 379 and the number of the adults is 339.

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Answer:

about 19.3

Step-by-step explanation:

you are given two angles and a side so use Law of Sines

label all the angles and sides so it is easier: the square angle is angle A, the 48 degree angle is angle C, and the other angle is angle B. Therefore the side between A and C is side b, the side between A and B is side c, and the side between C and B is side a

use the Law of Sines; we already know the measure of angle C and the length of side c for reference

\(\frac{c}{sineC} =\frac{a}{sineA} \\\\\frac{14.3}{sin48} =\frac{a}{sine90} \\\\\frac{14.3}{0.74} =\frac{a}{1} \\\\19.3=\frac{a}{1} \\\\a=19.3\)

so x measures about 19.3

To calculate the probability that each box contains 2 tiles when tiles numbered 1-6 are randomly placed into three different boxes, we can use combinatorics.

First, we need to determine the total number of possible arrangements of the 6 tiles into 3 boxes. Each tile has 3 choices for which box it can go into, so the total number of arrangements is \(3^6 = 729.\)

Next, we need to count the favorable outcomes, which are the arrangements where each box contains 2 tiles.

To distribute 2 tiles into each box, we can choose 2 tiles out of 6 for the first box, 2 tiles out of the remaining 4 for the second box, and the remaining 2 tiles automatically go into the third box. This can be calculated as:

\(C(6, 2) * C(4, 2) = (6! / (2! * (6-2)!)) * (4! / (2! * (4-2)!)) = (15 * 6) = 90.\)

Therefore, the number of favorable outcomes is 90.

Finally, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes:

Probability = Favorable outcomes / Total outcomes = 90 / 729 = 1/8.

Thus, the correct answer is 1/8, not 1/19 as mentioned previously

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The greatest number of rows Silvia can plant as per given number of plants and condition is equal to 10.

As given in the question,

Silvia is going to plant 20 tomato plants and 30 bean plants.

Total tomato plants = 20

Total bean plants = 30

If Silvia would like to plant, the plants in rows where each row has the same number of tomato plants and each row has the same number of bean plants.

Then, the greatest number of rows Silvia can plant is equal to greatest common factor of 20 and 30.

20 = 2×2×5

30 = 2×3×5

Greatest common factor of 20 and 30 = 2×5 = 10

Therefore, the greatest number of rows Silvia can plant as per given number of plants and condition is equal to 10.

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Answer:

The ratio of girls to total students is 12:30, which can be simplified to 2:5.

Step-by-step explanation:

You can express the ratio in different ways by using the same numbers, for example, you could say that for every 2 girls, there are 5 total students, or that for every 5 total students, 2 of them are girls.

If dr. Robinson rejects the null hypothesis after observing a test statistic that exceeds the critical value at the .05 level, there is a 5% chance that the null hypothesis is actually true.

This refers to the hypothesis that there is no significant difference between specified populations, where any observed difference is due to sampling or experimental error.

Hence, we can see that if dr. Robinson rejects the null hypothesis after observing a test statistic that exceeds the critical value at the .05 level, there is a 5% chance that the null hypothesis is actually true.

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The expression for the total number of cans of food would be: 9s

A variable is a symbol or letter that denotes a possible range of values or quantities. It is used to express relationships between numbers and to solve equations and problems, and is typically represented by a letter like x, y, or z.

A variable's value can be determined by its context of use or by resolving an inequality or equation that it appears in. Variables are frequently used in algebra to represent unknowns or to simplify challenging formulas.

Let's use the variable "s" to represent the number of students participating in the food drive.

Then, the expression for total number of cans of food would be: 9s

This is because each student is committing to bringing 9 cans of food, so if there are "s" students participating, then the total number of cans of food would be 9 times the number of students (9s).

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Answer:

1. D) Both b) and c)

2. B) Cosine Law

3. B) Find the measures of angles and sides that we can't physically measure.

Step-by-step explanation:

1. To solve non-right triangles we use Sine Law and Cosine Law.

2. If 3 sides lengths were given and you were asked to find an angle, you would use the Cosine Law.

3.Trigonometry is used in real life to find the measures of angles and sides that we can't physically measure.

isosceles triangle so angle Q = angle R

and sum of the angles of a triangle = 180

so

y + y + 84 = 180

2y = 96

y = 48

X.509 certificates are widely used in public key infrastructure (PKI) systems to verify the authenticity and integrity of digital identities. Therefore, among the given options, D) Owner's symmetric key is the item that does not apply to an X.509 certificate.

X.509 certificates are widely used in public key infrastructure (PKI) systems to verify the authenticity and integrity of digital identities. They contain various information related to the certificate itself and the entity it represents. Let's examine the options to determine which one does not apply to an X.509 certificate:

A) Certificate version: X.509 certificates include a version number to indicate the format and features of the certificate.

B) The issuer of the certificate: X.509 certificates specify the entity or authority that issued the certificate, which is crucial for validating the certificate's trustworthiness.

C) Public Key Information: X.509 certificates contain public key information, such as the public key itself and related parameters, to facilitate secure communication and cryptographic operations.

D) Owner's symmetric key: X.509 certificates do not typically include the owner's symmetric key. They primarily focus on the public key infrastructure and asymmetric key cryptography.

Therefore, among the given options, D) Owner's symmetric key is the item that does not apply to an X.509 certificate.

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Answer:

B

Step-by-step explanation:

\( \tan(57) = \frac{12}{x} \\ x = \frac{ 12 }{ \tan(57) } \\ x = \frac{12}{1.539} = 7.79\)

The Methods used that summarize or organize characteristics of data is descriptive.

Methods used to summarize or organize characteristics of data are referred to as descriptive methods.

Descriptive methods are used to describe the basic features of a set of data, such as its central tendency (mean, median, mode) and dispersion (range, variance, standard deviation). These methods provide a summary of the data, often through the use of graphical representations such as histograms, bar charts, and scatter plots.

The goal of descriptive methods is to understand the underlying structure of the data, identify patterns, and present the data in a clear and meaningful way.

Descriptive methods do not make inferences about a population based on a sample or draw conclusions about causality.

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Answer:

\( a_1 = 5 \)

\( a_n = 4a_{n - 1} \)

Step-by-step explanation:

\( a_1 = 5 \)

20/5 = 4

80/20 = 4

320/80 = 4

This a geometric sequence with r = 4.

\( a_n = 4a_{n - 1} \)

Answer:

\( a_1 = 5 \)

\( a_n = 4a_{n - 1} \)

By using the vertex of the quadratic equation, we will get the equation:

y = -2*(x + 6)^2

For a quadratic equation with a leading coefficient "A" and a vertex (h, k), the equation can be written as:

y = A*(x - h)^2 + k

Here we can see that the vertex is (-6, 0), so we have:

y = A*(x + 6)^2

We also can see that the parabola passes through the point (-4, -8), replacing these values above we will get:

-8 = A*(-4 + 6)^2

-8 = A*(2)^2

-8 = 4A

-8/4 = A

-2 = A

Then the quadratic equation is:

y = -2*(x + 6)^2

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Answer:

F = -22°F

Step-by-step explanation:

Use the9 given equation to convert Celsius to Fahrenheit.

F = 9/5 C + 32

They want to know what -30°C is in Fahrenheit.

Fill in -30 for C in the equation.

F = 9/5 (-30) + 32

Multiply first, before adding. In order to multiply the fraction × the -30, times

-30 ×9 and then divide by 5. (Or for easier mental math, times -30÷5 and then times that answer (-6) times 9.)

F = -54 + 32

F = -22

This means that -30°C is the same as -22°F.

There are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

The multiplication principle states that if there are m ways to perform one task and n ways to perform another task, then there are m x n ways to perform both tasks together.

To find the number of ways to choose 3 men from the 12 men, we can use the formula for combination, which is: ⁿCᵣ = n! / (r! (n-r)!).

where n is the total number of men and r is the number of men chosen

so, the number of ways to choose 3 men from the 12 men = ¹²C₃ = 1.

Similarly, we evaluate the number of ways to choose 2 women from the 8 women

as = ⁸C₂ = 14

Now, using the multiplication principle, we can find the total number of ways 3 men and 2 women be chosen if they are equally considered.

220 x 14 = 3080

Therefore, there are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

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One of the biggest ethical issues many marketers face today relates to consumer privacy and data protection.

In today's digital age, marketers have access to vast amounts of consumer data, including personal information and online behavior. The ethical issue arises when marketers collect, use, and share this data without adequate transparency, consent, or protection of consumer privacy. It raises concerns about invasion of privacy, unauthorized data sharing, and potential misuse of personal information for targeted advertising or other purposes.

Marketers are increasingly under scrutiny to ensure ethical practices in data collection, storage, and usage, balancing the need for effective marketing strategies with respect for individual privacy rights. Failure to address these ethical concerns can lead to loss of trust, reputational damage, and legal consequences for companies. Therefore, marketers must navigate these ethical challenges by adopting transparent and responsible data practices, respecting consumer choices, and implementing robust privacy and security measures.

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Answer:

T=5

Step-by-step explanation:

5 -3 = 10/t

2 =10/t

2t = 10

T = 5

\(\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}\)

         Solve for the variable 5=10/t+3.

\(\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\)

When solving an equation, we need to make sure that all variables are on the left-hand side, and all numbers are on the right-hand side.

Since we have numbers on both sides, we need to move all numbers to the right:-

\(\bold{5=\dfrac{10}{t} +3}\)

\(\bigstar\) Subtract 5 on both sides:-

\(\bold{0=\dfrac{10}{t} +3-5}\)

\(\bigstar\) On simplification,

\(\bold{0=\dfrac{10}{t} -2}\)

\(\bigstar\) Now, subtract 10/t on both sides:-

\(\bold{-\dfrac{10}{t} =-2}\)

\(\bigstar\) On simplification,

\(\bold{\dfrac{10}{t} =2}\)

\(\bigstar\) Multiply by t on both sides:-

\(\bold{10=2t}\)

\(\bold{2t=10}\)

\(\bigstar\) Divide by 2 on both sides:-

\(\bold{t=5}\)

\(\rule{300}{2}\)

This doesn't make any sense because you didn't give a value to cos like you did to sin.

Let me guess the actual question is tan(x)*cos(x) write this in term of sin.

Now from trigonometry identities, we know that tan(x)=sin(x)/cos(x)

So the expression can be written as sin(x)/cos(x)*cos(x)

which results in sin(x) as the answer, if I guessed the question wrong, sorry and please tell me in the comments what the correct question is, because this question doesn't seem complete :)

Answer:

x≈12.6

Step-by-step explanation:

We have the equation:

19(1.12^x) = 8(1.18^x)

Divide both sides by 8:

19/8 (1.12^x) = (1.18^x)

Take the natural logarithm of both sides:

ln[19/8 (1.12^x)] = ln[1.18^x]

Using the properties of logarithms, we can simplify the left side:

ln(19/8) + ln(1.12^x) = x ln(1.18)

Substituting y = 1.12^x, we get:

ln(19/8) + ln(y) = ln(1.18) y

Now we can solve for y:

ln(y) = ln(1.18) y - ln(19/8)

Using a numerical method or a graphing calculator, we can find that y ≈ 10.584.

Substituting back to solve for x:

1.12^x ≈ 10.584

Taking the logarithm base 1.12 of both sides:

x ≈ ln(10.584)/ln(1.12)

x ≈ 12.6

Therefore, the solution to the equation is x ≈ 12.6.