In Python
The PDF (probability density function) of the standard normal distribution is given by:
(x)=(1/(√2))*^(-(x^2)/2)
Evaluate the normal probability density function at all values x∈{−3,−2,−1,0,1,2,3}x∈{−3,−2,−1,0,1,2,3} and print f(x) for each

Answer:

second one down

4 860 000 000 000

Step-by-step explanation:

count out 12 zeros after the 4 and you will find the one in decimal notation

The decimal notation for the given scientific notation is 4860000000000. (option b)

The decimal notation is an alternate method to represent the fractional value. It means that it is the fractional representation using base 10. The fractions can be converted into decimals and vice versa.

Given is a scientific notation, 4.86 × 10¹², we need to convert it into a decimal notation,

4.86 × 10¹²

= 4.86 × 10,000,000,000,000

= 4.86 × 100 × 100000000000

= 486 × 100000000000

= 48600000000000

Hence, the decimal notation for the given scientific notation is 4860000000000. (option b)

Learn more about decimal notation, click;

https://brainly.com/question/2273582

#SPJ2

The slope of the line that goes through the origin and the point (6, -4) is -2/3.

To find the slope of a line that goes through two given points (x₁, y₁) and (x₂, y₂), you can use the formula:

slope = (y₂ - y₁) / (x₂ - x₁)

In this case, one of the points is the origin, which has coordinates (0, 0), so x₁ = 0 and y₂ = 0. The other point is (6, -4), so x₂ = 6 and y₂ = -4. Substituting these values into the slope formula gives:

slope = (-4 - 0) / (6 - 0) = -4/6 = -2/3

To learn more about slope click on,

https://brainly.com/question/27924340

#SPJ1

The correct formula that defines an arithmetic sequence is option d) tn = 5n + 14.

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. In other words, each term can be obtained by adding a fixed value (the common difference) to the previous term.

In option a) tn = 5 + 14, the term does not depend on the value of n and does not exhibit a constant difference between terms. Therefore, it does not represent an arithmetic sequence.

Option b) tn = 5n² + 14 represents a quadratic sequence, where the difference between consecutive terms increases with each term. It does not represent an arithmetic sequence.

Option c) tn = 5n(n+14) represents a sequence with a varying difference, as it depends on the value of n. It does not represent an arithmetic sequence.

Option d) tn = 5n + 14 represents an arithmetic sequence, where each term is obtained by adding a constant value of 5 to the previous term. The common difference between consecutive terms is 5, making it the correct formula for an arithmetic sequence.

To more on Progression:
https://brainly.com/question/30442577
#SPJ8

The measurements of angle 1, angle 2, and angle 3 are 60, 76, and 44 and to verify the solution, we can add up all three angles and check that they add up to 180 degrees.

The given problem involves finding the value of angle 1, given the measurements of angles 2 and 3.

From the problem statement, we can determine that angle 2 is equal to 76 degrees, while angle 3 is equal to 44 degrees.

Using the fact that the sum of angles in a triangle is equal to 180 degrees, we can determine that angle 1 is equal to 180 minus the sum of angles 2 and 3.

angle 2 = 180 - angle TQR

= 180- 104 = 76

angle 3 = 180 - angle PRS

= 180- 136 = 44

Substituting the values of angles 2 and 3, we get the equation 180 - (76 + 44) = 60.

angle 1 = 180- (angle 2 + angle 3)

= 180- (120) = 60.

Therefore, angle 1 is equal to 60 degrees.

Learn more about the angles at

https://brainly.com/question/28451077

#SPJ4

The question is -

Find the measure of angle 1, angle 2, and angle 3.

Answer:x=-7

Step-by-step explanation:X equals negative 7

Answer:

wheres the graph

Step-by-step explanation:

Answer:

we need a graph to answer

Step-by-step explanation:

To find the other factor when (x-5) is a factor of the quadratic expression \(x^2 - 8x + 15\), we can use polynomial division or factoring techniques.

We can perform polynomial division as follows:

      \(x - 5 | x^2 - 8x + 15\)

              \(- (x^2 - 5x)\)

              ---------------

                     -3x + 15

                     - (-3x + 15)

                     ---------------

                              0

The result of the division is 0, which means that (x-5) evenly divides \(x^2 - 8x + 15\). Therefore, the other factor is the quotient obtained during the division, which is x - 3.

So, the two factors of \(x^2 - 8x + 15\) are (x - 5) and (x - 3).

To know more about Expression visit-

brainly.com/question/14083225

#SPJ11

Answer:

A) x=23

B) angle 1 = 73, angles 4, 5, and 8 are congruent

C) angle 2 = 107, angles 3, 7, and 6 are congruent

Step-by-step explanation:

A polynomial expression is a mathematical expression consisting of constants and variables, combined with the operations of addition and multiplication.

A polynomial expression is of the form:-

\(ax^{2}+bx+c\)

Here, it consists of variable x, constants a, b and c and operations + and *.

Hence, it is a polynomial expression.

This particular polynomial expression is a quadratic expression.

Other examples of polynomial expressions are :-

5x + 3, \(4x^{3}+3x^{2}}+2x+1\) ,2x + 3y = 4 and so on.

A general polynomial expression can be written as:-

\(a_{n}x^{n}+a_{n-1}x^{n-1}+a_{n-2}x^{n-2} + ......+ a_{1}x^{1}+a_{0}\)

It has (n + 1) terms, with variable x,  (n + 1) constants and operations + and *.

To learn more about expression, here:-

https://brainly.com/question/14083225

#SPJ4

Answer:

When you have multiple events (here each flip of the coin is a individual event) the probability of all the events (or the joint probability) is equal to the product of the probabilities of each event.

For example, with a fair coin the probability of getting heads is 0.50

If you get heads 3 times, and you add the probabilities you get:

0-50*3 = 1.50

this has no sense, because the probability must be a number between 0 and 1.

The actual probability is:

P = 0.50*050*0.50 = 0.125

Answer: x=-4.1

Step-by-step explanation:

Let's take our equation

-2.8=x+1.3

-1.3     -1.3

-4.1=x

x=-4.1

Answer: - 4. 1

Step-by-step explanation:

Step 1:

Flip the equation.

x + 1.3 = − 2.8

Step 2: Subtract 1.3 from both sides.

x + 1.3 − 1.3 = −2.8 − 1.3

x = − 4.1

Answer:

5'1

Step-by-step explanation:

Every 12 inches is a foot. 12 x 5 is 60. Plus 1. Is 61.

That mean's it's 5 feet 1 inch.

Answer:

5 feet 1 inch

Step-by-step explanation:

because 12 inches is equal to 1 foot and 12 times 5 is 60 so that 5 feet plus one inch is 5 foot 1 inch

The optimal solution for the amount of cash to withdraw each time to minimize transportation costs and maximize interest earnings is determined by calculating the Economic Order Quantity (EOQ) using the formula Q = √((2 * C * T) / r), and rounding the result to a convenient amount.

The Economic Order Quantity (EOQ) model is typically used for inventory management, not for optimizing cash withdrawals. However, if we assume that the question is seeking an optimal withdrawal strategy to minimize transportation costs and maximize interest earnings, we can approach it as follows:

Let's denote:

C = Annual cash need ($5,000)

T = Transportation cost per visit ($5)

r = Annual interest rate (5%)

To find the optimal solution for the amount of cash to withdraw each time, we can consider the trade-off between transportation costs and interest earnings. The objective is to minimize the total cost.

Calculate the optimal order quantity (Q) using the EOQ formula:

Q = √((2 * C * T) / r)

Round the calculated Q to the nearest convenient amount, such as multiples of $100 or $500.

The optimal solution would be to withdraw the rounded Q amount each time to minimize transportation costs while still meeting the annual cash need.

To know more about optimal solution,

https://brainly.com/question/31964994

#SPJ11

The consumption bundle that will not be the consumer's choice, given the assumptions of choosing the optimal bundle, is option B) 30 snacks and 12 meals. To determine the optimal consumption bundle, we need to consider the consumer's budget constraint and maximize their utility.

Given that the price of snacks is $4 and the price of meals is $10, and the consumer has $240 remaining on their meal card, we can calculate the maximum number of snacks and meals that can be purchased within the budget constraint.

For option A) 5 snacks and 20 meals, the total cost would be $4 × 5 + $10 × 20 = $200. Since the consumer has $240 remaining, this bundle is feasible.

For option B) 30 snacks and 12 meals, the total cost would be $4 × 30 + $10 × 12 = $240. This bundle is on budget constraint, but it may not be the optimal choice since the consumer could potentially consume more meals for the same cost.

For option C) 20 snacks and 16 meals, the total cost would be $4 × 20 + $10 × 16 = $240. This bundle is also on budget constraint.

Since options A, C, and D are all feasible within the budget constraint, the only bundle that will not be the consumer's choice is option B) 30 snacks and 12 meals. The consumer could achieve a higher level of utility by reallocating some snacks to meals while staying within the budget constraint. Therefore, the correct answer is option B.

To learn more about constraint refer:

https://brainly.com/question/14309521

#SPJ11

Answer:

5 buses

Step-by-step explanation:

Total number of 6th graders going for the field trip = 184

Step 1

Divide the total number of students by 4

184/4 = 46

We have 46 groups of six graders.

Step 2

There needs to be one chaperone for every four students.

We have 46 groups of six graders

This means there is need for 1 chaperone per group

Hence, we have 46 chaperones

Step 3

Find total number of people going for the field trip

184 students + 46 chaperones

= 230 people

Step 4

If a bus can hold 50 people, how many buses will they need for the trip?

50 people = 1 bus

230 people = ??y

50 × y = 230

y = 230/50

y = 4.6 buses

Hence, 4.6 buses would be needed but since we can't have 0.6(part) of a bus figuratively, as buses come in whole numbers, we approximate to the nearest whole number

= 4.6 ≈ 5

Therefore, they would be needing 5 buses for the trip.

5 buses

Step-by-step explanation:

i got 10 out of 10

Answer:

120

Step-by-step explanation:

Answer:

144

Step-by-step explanation:

i just did the test

Answer: 24

Step-by-step explanation:

area of a triangle formula is 1/2bh.

6 is the base & 8 is the height.

1/2(6)(8) = 24

Answer:

24

Step-by-step explanation:

Answer:

Kendall's shirt cost 18.20

Step-by-step explanation:

12.75+8.50=21.25

39.45-21.25=18.20

The 3.51% compounded quarterly investment is the better investment in terms of higher returns.

We need to compare the effective rates of return for both options in order to determine which investment is superior.

A) For the 3.38% accumulated semiannually, we can work out the successful rate utilizing the equation:

The effective rate is as follows: Effective Rate = (1 + (Annual Interest Rate / Number of Compounding Periods))  Number of Compounding Periods - 1 Annual Interest Rate = 3.38 percent Number of Compounding Periods = 2 (since it is compounded semiannually) Effective Rate = (1 + (0.0338 / 2)) 2 - 1

The 3.38% compounded semiannual investment has an effective rate of approximately 3.59%, which is calculated as follows: Effective Rate = (1 + 0.0169)2 - 1 Effective Rate  0.0359385 or 3.59% (rounded to two decimal places).

B) We can use the same formula to determine the effective rate for the quarterly compound interest rate of 3.51 percent:

Since it is compounded quarterly, there are four compounding periods, and the annual interest rate is 3.51 percent. The effective rate is equal to (1 + (0.0351 / 4))4 - 1.

The compounded quarterly investment at 3.51% has an effective rate of approximately 3.53%, which is calculated as follows: Effective Rate = (1 + 0.008775)4 - 1 Effective Rate  0.0353157 or 3.53% (rounded to two decimal places).

When we look at the effective rates, we can see that the compounded quarterly investment with a rate of 3.51 percent has a slightly higher effective rate (3.53%) than the compounded semiannual investment with a rate of 3.38 percent (3.59%). Consequently, the higher-return investment at 3.51 percent compounded quarterly is superior.

To know more about Investment, visit

brainly.com/question/24703884

#SPJ11

The expansion of (a+b)^15 is: a^15 + 15a^14b + 105a^13b^2 + 455a

To expand (a+b)^15 using the Binomial Theorem, we can use the formula:

(a + b)^n = C(n,0)a^nb^0 + C(n,1)*a^(n-1)*b^1 + C(n,2)*a^(n-2)*b^2 + ... + C(n,n-1)a^1b^(n-1) + C(n,n)a^0b^n

where C(n,k) represents the binomial coefficient "n choose k" which is equal to n!/(k!(n-k)!).

In this case, n = 15, so we have:

(a+b)^15 = C(15,0)a^15b^0 + C(15,1)a^14b^1 + C(15,2)a^13b^2 + ... + C(15,14)a^1b^14 + C(15,15)a^0b^15

We can evaluate each binomial coefficient using the formula above, or we can use Pascal's Triangle to obtain the coefficients:

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

1 5 10 10 5 1

1 6 15 20 15 6 1

1 7 21 35 35 21 7 1

1 8 28 56 70 56 28 8 1

1 9 36 84 126 126 84 36 9 1

1 10 45 120 210 252 210 120 45 10 1

1 11 55 165 330 462 462 330 165 55 11 1

1 12 66 220 495 792 924 792 495 220 66 12 1

1 13 78 286 715 1287 1716 1716 1287 715 286 78 13 1

1 14 91 364 1001 2002 3003 3432 3003 2002 1001 364 91 14 1

1 15 105 455 1365 3003 5005 6435 6435 5005 3003 1365 455 105 15 1

Thus, we have:

(a+b)^15 = 1a^15b^0 + 15a^14b^1 + 105a^13b^2 + ... + 5005a^1b^14 + 32768a^0b^15

Simplifying, we get:

(a+b)^15 = a^15 + 15a^14b + 105a^13b^2 + 455a^12b^3 + 1365a^11b^4 + 3003a^10b^5 + 5005a^9b^6 + 6435a^8b^7 + 6435a^7b^8 + 5005a^6b^9 + 3003a^5b^10 + 1365a^4b^11 + 455a^3b^12 + 105a^2b^13 + 15ab^14 + b^15

Therefore, the expansion of (a+b)^15 is:

a^15 + 15a^14b + 105a^13b^2 + 455a

Learn more about the Binomial Theorem:https://brainly.com/question/13672615

#SPJ11

The sum of the mean and the median of the given dataset, which consists of the scores 7, 4, 9, 6, 10, 9, 5, and 4, is 13.25.

To find the sum of the mean and the median, we first need to calculate the mean and median of the given dataset.

The dataset is: 7, 4, 9, 6, 10, 9, 5, 4

To find the mean, we sum up all the numbers in the dataset and divide by the total number of data points:

Mean = (7 + 4 + 9 + 6 + 10 + 9 + 5 + 4) / 8 = 54 / 8 = 6.75

To find the median, we arrange the numbers in ascending order:

4, 4, 5, 6, 7, 9, 9, 10

Since we have 8 data points, the median will be the average of the two middle numbers:

Median = (6 + 7) / 2 = 6.5

Now we can find the sum of the mean and the median:

Sum of mean and median = 6.75 + 6.5 = 13.25

Therefore, the sum of the mean and the median of the given dataset is 13.25.

To learn more about median visit : https://brainly.com/question/26177250

#SPJ11

The sum of lengths of the two diagonals in a rectangle whose dimensions are 5 by 12 units is 26 units.

As, The length of the diagonal of rectangle

d = √l² + w²

d = √12² + 5²

d= √144+ 25

d= 13 unit

Thus, the sum of lengths of the two diagonals in this rectangle is

= 13 + 13

= 26 unit

Learn more about the diagonal of rectangle here:

brainly.com/question/17117320

#SPJ1

Answer:

87.92

Step-by-step explanation:

(2)(3.14)=6.28

(6.28)(14)=87.92

2(pi)(r)

Answer:

last one I think djssns word words

Answer:

wow are kidding me?

23°

im genius or?

Answer:

Z=23 degrees

Step-by-step explanation:

Oh ok, no problem, so to find the answer, we have to find out the missing amount for the total angles in a triangle. Each triangle has a total of 180 degrees angles.

First we find the sum of the angles we know:

62+95=157

Now we subtract the sum from 180

180-157=23

z=23 degrees

The population in this scenario consists of all employees in the firm, which totals 4,500 individuals. The sample is a subset of the population, specifically 60 randomly selected employees who are part of a committee evaluating the implementation of sensitivity training.

the population refers to the entire group of employees in the firm, which consists of 4,500 individuals. The sample, on the other hand, is a smaller group of 60 employees who have been randomly selected to form a committee. This committee's purpose is to evaluate the proposal of implementing sensitivity training online instead of the current in-person format.

The sample of 60 employees is chosen in a random manner to ensure representativeness and minimize potential bias. By selecting a subset of the population, the committee can provide insights and perspectives that are representative of the larger employee base. Each committee member will have the opportunity to vote "yes" or "no" on the proposal, and their votes will be used to determine the overall sentiment of the committee regarding the implementation of online sensitivity training.

It's important to note that the sample of 60 employees is being used as a representative group to make inferences about the entire population.

Learn more about population here:

https://brainly.com/question/31598322

#SPJ11

The quadrilateral is parallelogram, When the vertices of quadrilateral ABCD are given.

A parallelogram is a two-dimensional shape that has a pair of two parallel and congruent sides. It is the simplest type of quadrilateral that has opposite sides equal and parallel.

The opposite angles of a parallelogram are also equal and the sum of two consecutive angles is always supplementary. It has two unequal diagonals.

A point always represents the location of a particular place or position in a standard cartesian system, and the coordinates of the point represent the distances from the respective coordinate axis.

For example, consider a point P(x,y), in which the coordinates x and y are the perpendicular distances from the x-axis and the y-axis respectively.

The formula to find out the distance between two points is generally known as the Distance formula which can be expressed as:

d=√(x₂−x₁)²+(y₂−y₁)²

Given:

The vertices of the quadrilateral

A B C D: A(-2,3),B(-5,7),C(3,6), D(6,2).

The measure of the sides of the quadrilateral

d=√(x₂−x₁)²+(y₂−y₁)²

AB=√(-5-(-2))²+(7-3)²

Ab=√(-3)²+4²

AB=√25

AB=5units.

BC=√(3+5)²+(6-7)²

BC=√(8)²+1²

BC=√65 units.

CD=√(6-3)²+(2-6)²

CD=√3²+4²

CD=√25

CD=5 units.

AD=√(6-(-2))²+(2-3)²

AD=√(-8)²+1²

AD=√65 units.

The diagonals:

BC=√(3+5)²+(6-7)²

BC=√(8)²+1²

BC=√65 units.

AC=√(3+2)²+(6-3)²

AC=√(5)²+3²

AC=√25+9

AC=√34 units

Here, AB=CD and BC=AD and AC≠BC

Thus, the given quadrilateral is parallelogram.

To know more about Parallelogram:

https://brainly.com/question/29362382

#SPJ4

Using the binomial distribution, the probabilities are given as follows:

The probability mass function for the binomial distribution is presented as follows:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters of the distribution are given by:

In the context of this problem, the values of these parameters are:

n = 5, p = 0.735.

The probability of all people ordering the breast sandwich is:

P(X = 5) = 0.735^5 = 0.2145 = 21.45%.

The probability of no people ordering the breast sandwich is:

P(X = 0) = (1 - 0.735)^5 = 0.0013 = 0.13%.

The probability of at least one person ordering the breast sandwich is:

P(X >= 1) = 1 - 0.0013 = 0.9987 = 99.87%.

More can be learned about the binomial distribution at https://brainly.com/question/24756209

#SPJ1