A Social Security number consist of nine digits in the particular order, and and repetition of digits is allowed. After seeing the last four digits printed on a receipt, if you randomly select the other digits, what is the probability of getting the correct Social Security number of the person who was given the receipt? The probability is

We will solve as follows:

*First we will determine the slope of the new line:

From theorem we have that two perpendicular lines follow this rule:

So, the slope of the new line is:

*Second, we replace the values of the point and the slope in the following expression:

That is:

Now, we solve for y:

So the equation of the line that fulfills the parameters is:

Answer:

104ft

Step-by-step explanation:

First - find the area of triangles.

h = hight

b = base
h • b / 2

5 • 8 /2 = 20ft

And

4 • 6 /2 = 12ft

And then area of the rectangle.
l • w

9 • 8 = 72 ft

Than add. Them all together

In-state corresponds to students who are residents of the same state as the university, out-of-state corresponds to students from different states, and foreign corresponds to students from countries other than the university's country.

To match the vocabulary word with its corresponding example in the context of the state university survey, we need to understand the terms and their meanings.

Here are the vocabulary words and their corresponding examples:

Vocabulary Word: In-state

Example: A student who is a resident of the same state where the university is located.

They pay lower tuition fees compared to out-of-state or foreign students.

Vocabulary Word: Out-of-state

Example: A student who is not a resident of the state where the university is located.

They typically pay higher tuition fees compared to in-state students.

Vocabulary Word: Foreign

Example: A student who is from a country other than the country where the university is located.

They are international students who may have different visa requirements and tuition fees.

To match these vocabulary words with their corresponding examples:

In-state: A student from the same state as the university, paying lower tuition fees.

Out-of-state: A student from a different state than the university, paying higher tuition fees.

Foreign: A student from a country other than the country where the university is located, with potential differences in visa requirements and tuition fees.

By associating each vocabulary word with its respective example, we can accurately describe the three categories of students based on their residency and origin in the context of the state university's survey.

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2304 times 3 goes into 6912 and gives the remainder as 0.

The numerator number in the given division number 6912 by 3 is known as a dividend, and the denominator number is known as a divisor. As a result, 6912 is the dividend number and 3 is the divisor number.

Division is one of the four fundamental mathematical operations, along with addition, subtraction, and multiplication. Division is defined as the splitting of a large group into smaller groups so that each group has an equal number of items. In mathematics, it is an operation used for equal grouping and equal sharing.

Division is a basic arithmetic operation in which a larger number is divided into smaller groups with the same number of items. For example, how many total groups will be formed if 30 students must be divided into groups of 5 students for a sporting event? Such problems are easily solved by using the division operation. Here, we must divide 30 by 5. 30 5 = 6 will be the result. As a result, there will be six groups of five students each.

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Answer:

0.009

Step-by-step explanation:

the value of the 3 in 10.31 is 0.3. The value of the 3 in 10.13 is 0.03. 0.3 * 0.03 = 0.009.

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An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The value of 3 in 10.31 is 0.1 times as much as the value of 3 in 10.13.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

10.31 and 10.13.

In 10.31, the value of 3 is in tenths place value.

i.e 0.3

In 10.13, the value of 3 is in hundreths place value.

i.e 0.03

We see that,

0.3 x 0.1 = 0 .03

So,

The value of 3 in 10.31 is 0.1 times as much as the value of 3 in 10.13.

Thus,

The value of 3 in 10.31 is 0.1 times as much as the value of 3 in 10.13.

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The correct answer is Graph 1: y = cos(x/4)Graph 2: y = cos(x/2)

Based on the given descriptions of the graphs and the patterns they follow, the correct pairs are:

Graph 1: y = cos(x/4) ⟶ This graph has a period of 8 units and matches the pattern described.Graph 2: y = cos(x/2) ⟶ This graph has a period of 4 units and matches the pattern described.

Graph 3: y = cos(x) ⟶ This graph has a period of 2π (or approximately 6.28 units) and matches the pattern described.

Graph 4: (Not used)

Graph 5: (Not used)

Please note that without visual representation, it's difficult to provide a definitive answer. The pairs are based on the descriptions provided and may vary depending on the actual shapes of the graphs.

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There is a 60% probability that a randomly selected student from the class scored either an A or B in Biostatistics.

To calculate the probability that a randomly selected student scored either an A or B in Biostatistics, we need to consider the number of students who scored A and B and divide it by the total number of students in the class.

Given that there are 25 students in the class, 5 of them scored an A and 10 scored a B. To calculate the probability, we add the number of students who scored A (5) to the number of students who scored B (10):

Number of students who scored A or B = Number of students who scored A + Number of students who scored B = 5 + 10 = 15.

Therefore, the probability that a randomly selected student scored A or B

in Biostatistics is:

Probability = Number of students who scored A or B / Total number of students = 15 / 25 = 0.6 or 60%.

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Answer:d=12

Step-by-step explanation:

Answer:

\(x\in (-\infty,11]\)

Step-by-step explanation:

Inequalities

Solve the following inequality:

\(-3x+14\ge 3-2x\)

Adding 2x:

\(-3x+14+2x\ge 3\)

Subtracting 14:

\(-3x+2x\ge 3-14\)

Operating:

\(-x\ge -11\)

Multiplying by -1 and flipping the sign:

\(x\le 11\)

Solution:

\(\boxed{x\in (-\infty,11]}\)

Answer:

3+jk+k^6

j=2 & k=6

substituting the values, we have

= 3+2(6)+6^3

= 3+12+216

= 231

Ans=231

Step-by-step explanation:

j=2 and k=6

Now

5th term of the sequence is -4

To find the 5th term in the sequence, we need to substitute n =  5 into the expression given

 \(a_5\) =  26- 6( 5)  

\(a_5\) =  26- 30

\(a_5\) = -4  

The formula given, an =  26- 6n, represents an  computation sequence with a common difference of-6.

This means that each term in the sequence is  attained by obtain 6 from the  former term.  

It's important to note that the formula is written in general form, meaning that it can be used to find any term in the sequence by simply plugging in the  matching value of  n.

 In this case, we were asked to find the 5th term, so we substituted n =  5 into the formula to get a5 = -4.

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Step-by-step explanation:

20+8+7+2=37

Answer:

B) 1,000,907

Step-by-step explanation:

1,000,907 is the next number after 1,000,906.

Answer:

0.53 x 10^ -8

Step-by-step explanation:

Just move the decimal over to the right and add 1 to the exponent.

The value of P or solution of the inequality is determined as p ≤ 2/5.

The value of P or solution of the inequality is calculated as follows;

5/2p + 15/6p - (3 + 2p)/p ≥ 3

find the LCM of the denominators and multiply though by it;

LCM = 6p

15 + 15 - 6(3 + 2p) ≥ 18p

30 - 18 - 12p ≥ 18p

12 - 12p ≥ 18p

12 ≥ 18p + 12p

12 ≥ 30p

12/30 ≥ p

2/5 ≥ p

or p ≤ 2/5

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You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.

When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.

A cuboid has six faces, but each face has a pair that is identical in size and shape.

Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.

To find the surface area of a cuboid, you can add up the areas of all its faces.

However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:

(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.

By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.

Essentially, you are considering one face from each pair and then summing their areas.

Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.

When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.

Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.

Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.

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Answer:

A. down

Step-by-step explanation:

The parent graph is

f(x)=x

If this graph is transformed to obtain

g(x)=f(x)−4

The subtracttion means the graph will shift downward vertically

The graph of g(x) is obtained by shifting f(x) down by 4 unit.

Therefore the direction is down.

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Answer:

The common difference equals: 6

The sum of the sequence equals: 176

The explicit formula of this sequence is:  a_n=1+(n-1)*6

The recursive formula of this sequence is: a_n=a_((n-1))+6

1,7,13,19,25,31,37,43,49,55,61...

Step-by-step explanation:

nice :0

The assumption in answering the question is that no student scored 0

From the question, we have the following parameters that can be used in our computation:

The bar chart

On the bar chart, we hae

Students that score more than 8 = 5

Students in the class = 33

The (b) is calculated by considering all students that score more than 0 from the histogram

This means that the assumption is that no student scored 0

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Answer: x = 101

Step-by-step explanation:

Answer:

101

Step-by-step explanation:

Answer:

a) 16.8 hours.

b) 0.86 hours squared.

c) 0.0606 = 6.06% probability that Z is between 15.9 and 16.1.

d) 0.8051 = 80.51% probability that Z is greater than 16

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Sum of normal variables:

When we add normal variables, the mean is the sum of each mean, while the variance is the sum of each variance. The standard deviation is the squared root of the variance.

In this question:

X1: Mean 8.6, standard deviation 0.1

X2: Mean 8.4, standard deviation 0.9

X3: Mean 0.2, standard deviation 0.2

Z = X1 + X2 - X3.

Mean:

\(\mu = 8.6 + 8.4 - 0.2 = 16.8\)

Variance:

\(\sigma^{2} = 0.1^2 + 0.9^2 + 0.2^2 = 0.86\)

Standard deviation:

\(\sigma = \sqrt{\sigma^{2}} = \sqrt{0.86} = 0.9274\)

A) What is the expected value of Z, the total time that the help desk has an employee present?

\(\mu = 16.8\)

So 16.8 hours.

B) What is the variance of Z?

\(\sigma = 0.86\)

So 0.86 hours squared.

C) What is the probability that Z is between 15.9 and 16.1?

This is the pvalue of Z when X = 16.1 subtracted by the pvalue of Z when X = 15.9. So

X = 16.1

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{16.1 - 16.8}{0.9274}\)

\(Z = -0.75\)

\(Z = -0.75\) has a pvalue of 0.2266

X = 15.9

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{15.9 - 16.8}{0.9274}\)

\(Z = -0.97\)

\(Z = -0.97\) has a pvalue of 0.1660

0.2266 - 0.1660 = 0.0606

0.0606 = 6.06% probability that Z is between 15.9 and 16.1.

D) What is the probability that Z is greater than 16?

This is 1 subtracted by the pvalue of Z when X = 16. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{16 - 16.8}{0.9274}\)

\(Z = -0.86\)

\(Z = -0.86\) has a pvalue of 0.1949

1 - 0.1949 = 0.8051

0.8051 = 80.51% probability that Z is greater than 16

Answer:

Yes, the binomial is a factor of the polynomial function.

Step-by-step explanation:

Consider the given polynomial.

Factor out the common term \(x^2\) from the first two terms and \(-25\) from the last two terms.

\(x^3 + 3x^2 -25x-75=x^2(x+3)-25(x+3)\)

Factor out the polynomial.

\(x^2(x+3)-25(x+3)=(x+3)(x^2-25)\)

Further, simplify.

\((x+3)(x^2-25)=(x+3)(x+5)(x-5)\)

Therefore, \(x^3 + 3x^2 -25x-75=(x+3)(x+5)(x-5)\)

A binomial factor is simply a factor with two terms, like (x - a).

Hence, the given polynomial function is binomial as it contains the factor with two terms, like (x - a).

Answer:

Yes           No

Yes(x+3)  No (x−1)  

Yes – (x−5)

Yes – (x+5)   No – (x−3)    

Step-by-step explanation:

Hello future k12/brainly users

pls give FelisFelis upvotes and thanks because they gave the original answer and were downvoted despite being right mostly because whoever downvoted them (calling you out 5 downvoters) didn't take the time to read the explanation correctly.

The standard deviation of the sampling distribution is approximately 0.3292.

The behaviour of the sampling distribution of the mean is described by the central limit theorem, a key conclusion in statistics. It asserts that regardless of how the population distribution is shaped, if a random sample of size n is taken from a population with mean and standard deviation, the distribution of sample means will tend towards a normal distribution as n increases.

Because it enables us to utilise the normal distribution to draw conclusions about the population mean based on sample means, the central limit theorem has significant practical ramifications. Additionally, it offers a foundation for confidence interval estimation and statistical hypothesis testing.

The standard deviation is given by the formula:

SD = σ/√(n)

Now, substituting the value of σ = 40, n = 147,400 we have:

SD = σ/√(n) = 40/√(147400) ≈ 0.3292

Hence, the standard deviation of the sampling distribution is approximately 0.3292.

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The linear rule for the sequence is f(n) = 7/20 + 3/20(n - 1)

From the question, we have the following parameters that can be used in our computation:

35/100,5/10,65/100

In the above sequence, we can see that 15/100 is added to the previous term to get the new term

This means that

First term, a = 35/100

Common difference, d = 15/100

The nth term is then represented as

f(n) = a + (n - 1) * d

Substitute the known values in the above equation, so, we have the following representation

f(n) = 35/100 + 15/100(n - 1)

So, we have

f(n) = 7/20 + 3/20(n - 1)

Hence, the explicit rule is f(n) = 7/20 + 3/20(n - 1)

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Answer:

The procedure does results in a binomial distribution.

Step-by-step explanation:

For a binomial probability distribution to be applicable, certain conditions have to be met which are :

There must be a fixed number of observations ; here the number of observations are : 79

All observations must be independent ; the observations are independent ; odd or even

Observations must fall into one of two categories : success category or failure. Here, observations can be odd or even

The probability of success must be equally likely for each observation.

Hence, the procedure results in a binomial probability distribution.

To solve the expression 1 - (1 + 0.04/12)^(-12x10), you can follow these steps: Step 1: Simplify the exponent. In this case, -12x10 simplifies to -120.

Step 2: Evaluate the term within the parentheses first. 0.04/12 simplifies to 0.0033333 (approximately).

Step 3: Add 1 to 0.0033333 to get 1.0033333.

Step 4: Raise 1.0033333 to the power of -120.

Step 5: Calculate the value inside the parentheses using a calculator or software. The result is approximately 0.742657.

Step 6: Subtract the value obtained in Step 5 from 1.

1 - 0.742657 = 0.257343 (approximately).

Hence, the value of the expression 1 - (1 + 0.04/12)^(-12x10) is approximately 0.257343.

It's important to follow the order of operations (PEMDAS/BODMAS) when solving mathematical expressions. In this case, the exponent is evaluated first, followed by addition and subtraction. Utilizing a calculator or software that supports exponentiation and parentheses can help simplify complex expressions and obtain accurate results efficiently.

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This question is incomplete, the complete question is;

Based on historical data, your team knows what proportion of the company's number of orders come from Indiana residents. However, your team would like to expand its orders beyond the state of Indiana. By the end of this year, you think you would like your total proportion of orders from Indiana to be between 0.66 and 0.73. If you took a simple random sample of 99 current orders, what is the probability that the sample proportion of sales to Indiana residents is between 0.66 and 0.73

Note: You should carefully round any intermediate calculations to 4 decimal places to match wamap's approach and calculations. After you round to 4 places, use THAT rounded value in later steps. You may need an appropriate population proportion (which you actually found in a previous problem).

Some data:

Total population: 2327

Indiana residents: 1845

Other: 482

Frequency table results for Total Sales:

Count = 2327

Total Sales                          Frequency

0 to 200                                1960

200 to 400                           303

400 to 600                            53

600 to 800                             9

800 to 1000                            2

Answer:

The probability that the sample proportion of sales to Indiana residents is between 0.66 and 0.73 is 0.0612

Step-by-step explanation:

Given the data in the question;

p" = Indiana residents / Total population

p" =  1845 / 2327

p" = 0.7929

Now, the probability that the sample proportion of sales to Indiana residents is between 0.66 and 0.73 will be;

P( 0.66 < p < 0.73 ) = P{ [x1 - p" / √( p"(1-p")/n )] < p < [x2 - p" / √( p"(1-p")/n )] }

we substitute

= P{ [0.66 - 0.7929 / √( 0.7929(1-0.7929)/99 )] < p < [0.73 - 0.7929 / √( 0.7929(1-0.7929)/99 )] }

=  P{ [-0.1329 / 0.0407] < p < [-0.0629 / 0.0407] }

= P{ -3.2654 < z < -1.5455 }

= ⊕( -1.5455) - ⊕(-3.2654)

from the standard normal table;

= 0.0618 - 0.0006

P( 0.66 < p < 0.73 ) = 0.0612

Therefore, the probability that the sample proportion of sales to Indiana residents is between 0.66 and 0.73 is 0.0612