can someone help me.​

Option C. which corresponds to the probability of approximately 0.0771 that there will be 8 occurrences within a period of ten minutes.

This problem follows a Poisson distribution, where the mean and variance of the distribution are equal to λ. Here, λ = 5, and we need to find the probability of having 8 occurrences in 10 minutes. The probability mass function of Poisson distribution is:

P(X = k) = (e⁽⁻λ⁾ * λᵏ) / k!

Substituting the given values, we get:

P(X = 8) = (e⁽⁻⁵⁾ * 5⁸) / 8!

P(X = 8) ≈ 0.0771

Therefore, the probability that there are 8 occurrences in ten minutes is approximately 0.0771, which corresponds to option C.

This problem follows a Poisson distribution, where the mean and variance of the distribution are equal to λ. Here, λ = 5, and we need to find the probability of having 8 occurrences in 10 minutes. The probability mass function of Poisson distribution is:

P(X = k) = (e⁽⁻λ⁾ * λᵏ) / k!

Substituting the given values, we get:

P(X = 8) = (e⁽⁻⁵⁾ * 5⁸) / 8!

P(X = 8) ≈ 0.0771

Therefore, the probability that there are 8 occurrences in ten minutes is approximately 0.0771, which corresponds to option C.

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The Boxplot which represents the data is "A box-and-whisker plot. The number line goes from 75 to 100. The whiskers range from 75 to 100, and the box ranges from 88 to 98. A line divides the box at 93."

The first and last values represents the range of the whiskers and the number line.

The second and fifth values represents the first and third quartiles , 88 and 93.

The line which divides the Boxplot is the median value and it is (90+96)/2 = 93.

Therefore, the Boxplot which represents the data is option A.

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Answer:

set {(8,1)),(4,5),(4,7)}

Answer: Choice B

Reason:

The domain is the set of x values

The range is the set of y values

Each point is of the form (x,y). The x always goes first.

Answer:

0630 is the only thing I can come up with.

Answer:

The novel has 117 pages

Step-by-step explanation:

Let  p  be the pages in the novel

p − 3 = 114

p = 117

Answer:

351

Step-by-step explanation:

114 = p/3 - 3

p/3 = 117

p = 351 page

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System of inequalities is basically a set of two or more inequalities in one or more than one variable. System of inequalities have multiple solutions & there is more than one constraints on the particular solutions. Here, are symbol used in inequalities .

→ > is the greater than symbol. The quantity to the left of the symbol is greater than the quantity to the right .

→ < is the less than symbol. The quantity to the left of the symbol is less than the quantity to the right .

→ ≥ is the greater than or equal to symbol. The quantity to the left of the symbol is either greater than the quantity to the right, or it is equal to the quantity to the right.

→ ≤ is the less than or equal to symbol. The quantity to the left of the symbol is either less than the quantity to the right, or it is equal to the quantity to the right.

→ ≠ is the not equal to symbol. The quantity to the left of the symbol is not equal to the quantity to the right

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For matrix A, the factorization into the form xDx^(-1) is found. In the first case, A is factorized as A = [-3 -2][1 0][3 2]^(-1). In the second case, A is factorized as A = [-1 0 1][1 0 0][1 2 0]^(-1).

To factor the given matrices A into a product xDx^(-1), where D is a diagonal matrix, we need to find the diagonal matrix D and the invertible matrix x. We will perform the necessary calculations to obtain the factorization for each matrix A.

a. Matrix A:

A = [5 6]

   [-2 -2]

To factor A into the form xDx^(-1), we need to find the diagonal matrix D and the invertible matrix x.

First, we find the eigenvalues λ of matrix A by solving the characteristic equation det(A - λI) = 0, where I is the identity matrix.

det(A - λI) = det([5 - λ 6]

                    [-2 - 2 - λ])

Expanding the determinant, we get (5 - λ)(-2 - λ) - (6)(-2) = λ^2 - 3λ + 2 = (λ - 1)(λ - 2) = 0

So, the eigenvalues are λ1 = 1 and λ2 = 2.

Next, we find the eigenvectors corresponding to each eigenvalue.

For λ = 1:

(A - λ1I)x = 0

[4 6][x1] = 0

[-2 -3][x2]

Solving the system of equations, we get x1 = -3x2/2. Choosing x2 = 2, we obtain x1 = -3.

Therefore, the eigenvector for λ1 = 1 is [x1 x2] = [-3 2].

For λ = 2:

(A - λ2I)x = 0

[3 6][x1] = 0

[-2 -4][x2]

Solving the system of equations, we get x1 = -2x2/3. Choosing x2 = 3, we obtain x1 = -2.

Therefore, the eigenvector for λ2 = 2 is [x1 x2] = [-2 3].

Now, we construct the diagonal matrix D using the eigenvalues:

D = [1 0]

      [0 2]

The invertible matrix x is formed by using the eigenvectors as its columns:

x = [-3 -2]

     [2 3]

Finally, we can factor matrix A:

A = xDx^(-1)

b. Matrix A:

A = [2 2 1]

     [0 1 2]

     [0 0 -1]

To factor A into the form xDx^(-1), we follow a similar process as above. We find the eigenvalues, eigenvectors, diagonal matrix D, and invertible matrix x.

The eigenvalues of matrix A are λ1 = -1, λ2 = 1, and λ3 = 2.

The corresponding eigenvectors are:

For λ1 = -1: [-1 -2 1]

For λ2 = 1: [0 -1 2]

For λ3 = 2: [1 0 0]

The diagonal matrix D is:

D = [-1 0 0]

       [0 1 0]

       [0 0 2]

The invertible matrix x is formed using the eigenvectors:

x = [-1 0 1]

     [-2 -1 0]

     [1 2 0]

Thus, the factorization of matrix A is:

A = xDx^(-1)

Please note that I have computed the factorization based on the provided matrix A.

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Answer:

y = 35x + 20

Step-by-step explanation:

See attached graph.

Answer:

Value of 10z = 8

Step-by-step explanation:

Given:

Equation of variable;

10z

and value of z = 0.8

Find:

Value of 10z

Computation:

We know that in given equation 10z

10 is constant(fixed value) and z is variable(changeable value)

where value of variable z is given 0.8

So,

By putting value of variable z in given equation

⇒ 10z

⇒ 10(0.8)

by multiplying variable and constant

Value of 10z = 8

Answer:

0.5 seconds

Step-by-step explanation:

Equation: h(t) = -5t²+5t=10

Where h(t) is in meter, t is in seconds.

The driver will reach maximum height when d[h(t)]/d(t) = 0

From the equation,

d[h(t)]/d(t) = -10t+5

Therefore,

-10t+5 = 0

Solve for t

-10t = -5

10t = 5

t = 5/10

t = 0.5 seconds.

Hence the height will be maximum in 0.5 seconds.

Answer:

the answer to that question is D

Answer:

its C

Step-by-step explanation:

Answer:

6000

Step-by-step explanation:

Multiply 60 by 100:

60 x 100 = 6,000

The answer is 6,000 ( six thousand)

Answer:

729

Step-by-step explanation:

3 to the power of 2 means 3 * 3 which is 9.  3 to the power of 4 means 3 * 3 * 3 * 3 which is 81.  Finally, 9 * 81 which gives you 729.

Answer:

A

Step-by-step explanation:

Since the shaded region on the right is greater than or equal to 3, and the shaded region on the left is less than -4 (since numbers decrease as the arrow moves towards the left on the number line).

Answer:

3

Step-by-step explanation:

The square root of 9 is 3

Answer:

-7 ≤ y ≤ 2

Step-by-step explanation:

The range is the y of the graph.

We just need to find the lowest point of the y and the highest point of the y.

In this case, it is -7 & 2.

So, our range of the graph is

-7 ≤ y ≤ 2

The answer is 14

I got 100% on the test

I hope this helps!

Proof that this answer is correct and not a false

The account balance at the end of two years (eight quarters) is $866.24.

Suki earned $66.24 interest during that time.

What do you mean by interest rate?

The real yearly cost of funds over the course of a loan is the annual rate that is charged for borrowing (or made by investing), expressed as a single percentage number.

According to data in the given question,

We have:

Placed amount= A= $800

Interest rate (quarterly)= r= 4%

Time= t = 2 years

Now, we will using the formula below:

\(A=P(1+\frac{r}{n} )^{nt}\\=800(1+\frac{0.04}{4} )^{4*2}\\=800(1+0.01 )^{8}\\=800(1.0828)\\=866.24\)

So, the account balance at the end of two years (eight quarters) is $866.24.

Then, we have to determine the earned interest during that time,

Earned interest= A-P

= 866.24 - 800

= 66.24

Therefore, she earned $66.24 interest during that time.

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ANSWER:

STEP-BY-STEP EXPLANATION:

To complete the table, we substitute the value of x in the function, just like this:

\( \Large \colorbox{red}{ \sf\color{white}{Aиswεr : }}\)

Sudden uncontrollable fear or anxiety, often causing wildly unthinking behaviour.

Answer:

y = 0.45x

Step-by-step explanation:

After 2 secs can ring 2 × 0.45

After 3 secs can ring 3 × 0.45

After 4 secs can ring 4 × 0.45 , then

After x secs can ring y = x × 0.45 = 0.45x , that is

y = 0.45x

Answer:

364.0

Step-by-step explanation:

567.78/1.56

=363.96153846

=364.0

Answer:

9 mm

Step-by-step explanation:

the volume (V) of a cube is calculated as

V = s³ ( s is the side length )

given V = 729 , then

s³ = 729 ( take cube root of both sides )

s = \(\sqrt[3]{729}\) = 9

Quantrell bought a television set on sale for his apartment for $1,500, but he will spread the payments over two years. The store charges 18 percent interest for financing, and his payments will be $74.89. Hence, he will pay $1650.22 in interest over the life of the loan.

How much will he pay in interest over the life of the loan?He bought a television set on sale for $1500 that he will spread the payments over two years.The total amount he will pay in two years for the TV is obtained by adding up the cost of the TV set and the interest over the life of the loan. To compute the interest, we will first find the total payment he will make in two years.

To find the total payment, multiply the number of payments by the amount of each payment. Then,Total payment = Number of payments × Amount of each paymentSubstituting the values of number of payments and amount of each payment, we get:Total payment = 2 × $74.89Total payment = $149.78Now, let's calculate the interest on the loan,Interest = Total payment − Cost of the TV setInterest = $149.78 − $1500Interest = $1650.22

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The area of triangle EFG, to the nearest square inch, is approximately 1061 square inches.

To find the area of triangle EFG, we can use the formula:

\(Area = (1/2) \times base \times height\)

In this case, the base of the triangle is FG, and the height is the perpendicular distance from vertex E to side FG.

First, let's find the length of FG. We can use the law of cosines:

FG² = EF² + EG² - 2 * EF * EG * cos(∠F)

EF = 72 inches

EG = 34 inches

∠F = 21°

Plugging these values into the equation:

FG² = 72² + 34² - 2 * 72 * 34 * cos(21°)

Solving for FG, we get:

FG ≈ 83.02 inches

Next, we need to find the height. We can use the formula:

height = \(EF \times sin( \angle F)\)

Plugging in the values:

height = 72 * sin(21°)

height ≈ 25.52 inches

Now we can calculate the area:

\(Area = (1/2) \times FG \times height\\Area = (1/2)\times 83.02 \times 25.52\)

Area ≈ 1060.78 square inches

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The probability to answer 5 questions correctly from 14 true or false questions is 0.1222

The given situation represents a binomial experiment, where there are only two possible outcomes for each trial: success (answering correctly) and failure (answering incorrectly). To find the probability of a particular number of successes, we use the binomial probability formula:

P(x)= nCx × p^x × q^(n-x)

Where, n is the total number of trials, p is the probability of success on each trial, q is the probability of failure on each trial (1-p), and x is the number of successes desired.

n = 14 (total number of questions)

p = 1/2 (probability of answering correctly when guessing randomly), and q = 1/2 (probability of answering incorrectly when guessing randomly).

To find P(5), we substitute these values in the formula

P(5) = 14C5 * (1/2)^5 * (1/2)^9= 2002 * (1/32) * (1/512)= 2002 / 16384≈ 0.1222

Therefore, the answer is option D, 0.1222.

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The probability that a randomly selected student score is less than 85 points is 97.72%

What is Mean?

In statistics, in addition to the mode and median, the mean is one of the measures of central tendency. Simply said, the mean is the average of the values in the given collection. It indicates that values in a certain data collection are distributed equally. The three most often employed measures of central tendency are the mean, median, and mode. The total values provided in a datasheet must be added, and the sum must be divided by the total number of values in order to get the mean. When all of the values are organized in ascending order, the Median is the median value of the provided data. While the number in the list that is repeated a maximum of times is the mode.

\(Mean $=\mu=79$\\\\Standard deviation $=\sigma=3$\)

The probability that a randomly selected student score is less than 85 points is:

\($=P(x < 85)$Z-score for $(x=85)$ :$$\begin{aligned}&z=\frac{x-\mu}{\sigma} \\&\Rightarrow z=\frac{85-79}{3} \\&\Rightarrow z=2.00\end{aligned}$$\\Hence, $P(x < 85)=P(z < 2.00)$\)

Hence, the probability that a randomly selected student score is less than } is:

\(85 \text { points }=0.9772=97.72 \%\)

Hence,

The probability that a randomly selected student score is less than 85 points is 97.72%

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The values of n and m that satisfy the equation in the ratio 4:n:5 = 5:8:m are n = 16/5 and m = 32/5.

To solve for the values of n and m in the equation 4:n:5 = 5:8:m, we can use cross-multiplication:

4/n = 5/multiplied by 8/5

4/n = 8/ m

Cross-multiplying again, we get:

4m = 8n

Dividing both sides by 4, we get:

m = 2n

Substituting this expression for m into the equation:

4:n:5 = 5:8:m

We get:

4:n:5 = 5:8:2n

Simplifying the right-hand side, we get:

4:n:5 = 5:(8/2):n

4:n:5 = 5:4:n

Cross-multiplying, we get:

4 x 4 = n x 5

n = 16/5

Substituting this value for n into the expression we found earlier for m:

m = 2n = 2 x (16/5) = 32/5

Therefore, the values of n and m that satisfy the equation 4:n:5 = 5:8:m are n = 16/5 and m = 32/5.

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Answer: B. statistic

Step-by-step explanation: A characteristic, usually a numerical value, which describes a sample, is called a statistic.

The mass of the radioactive material after 7 hours will be 38.22 grams.

The formula for exponential growth is \(y = y_0e^{(kt)}.\)

The formula for exponential decay is \(y = y_0e^{(-kt)}.\)

The duration needed for a quantity to decrease to half of its initial value is known as the half-life.

The phrase is frequently used to indicate how rapidly unstable atoms decay radioactively or how long stable atoms last.

Given, A radioactive compound with a mass of 110 grams decays at a rate of 15.1% per hour.

Here, \(y_0 = 110\) grams, \(k = - 0.151\) and \(t = 7\) hours.

Therefore, The mass of the radioactive material after 7 hours will be,

\(y_7 = 110.e^{(-0.151\times7)}.\)

\(y_7 = 110.e^{(-1.057)}.\)

\(y_7 = 110.(0.347)}.\)

\(y_7 = 38.22\) grams.

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