The random variable X is normally distributed with mean x = 174 and standard deviation o = 20. Find the probability of (a) P(X > 170) (1) P(X < 182) (e) P(160 < X < 170) (d) P(172 < X <192).

Answer:

The number of monkeys in the trees is 24

Step-by-step explanation:

Label each of the lines from 10 - 40 and then fill the box in from there.

Also explanation: 0.6 x 40 = 24

Tom sent 16 roses to his wife

Step-by-step explanation:

20/1.25=16

Answer:

(-15,7)

Step-by-step explanation:

I did it on desmos

What are the next four multiples of 1/7​ ?

so, it will be :

Using the binomial distribution, it is found that the probabilities are given as follows:

a) 0.857375 = 85.7375%.

b) 0.000125 = 0.0125%.

c) 0.999875 = 99.9875%.

The formula is:

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

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

The parameters are:

In this problem, the values of the parameters are given as follows:

n = 3, p = 0.95.

Item a:

The probability is P(X = 3), hence:

P(X = 3) = (0.95)^3 = 0.857375 = 85.7375%.

Item b:

The probability is P(X = 0), hence:

P(X = 0) = (0.05)^3 = 0.000125 = 0.0125%.

Item c:

The probability is P(X > 0), hence:

P(X > 0) = 1 - P(X = 0) = 1 - 0.000125 = 0.999875 = 99.9875%.

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Answer:

\(7999 \div 4\#\) lies between 163.245 and 199.975

Step-by-step explanation:

Given

2 digit = 4#

Required

The range of \(7999 \div 4\#\)

Let

\(\# = 0\) --- the smallest possible value of #

So:

\(7999 \div 40 = 199.975\)

Let

\(\# = 9\) --- the largest possible value of #

So:

\(7999 \div 49 = 163.245\)

Hence, \(7999 \div 4\#\) lies between 163.245 and 199.975

Answer:

D. 29

Step-by-step explanation:

just did the test and got it correct. Edmentum, Plato.

One-liner code to create the "next_month" Series in Jupyter Notebook: ```python

next_month = (P.shift(-21) - P) / P

```

Jupyter Notebook is an open-source web application that allows you to create and share documents containing live code, visualizations, and explanatory text. It supports various programming languages, but it is commonly used with Python for data analysis, scientific computing, and machine learning tasks.

Jupyter Notebook provides an interactive environment where you can execute code cells and see the results immediately, which makes it a popular choice among data scientists and researchers.

To get started with Jupyter Notebook, you need to install it on your local machine or use an online service that provides Jupyter Notebook functionality. Once you have it set up, you can create a new notebook or open an existing one.

Now, let's move on to creating the `next_month` Series based on the formula you provided. I assume you have a time series of stock market prices stored in a pandas Series called `market_prices`. To calculate the return over the following 21 days, we can use the formula:

\(\[ \text {Next Month } h_{t}=\frac{P_{t+21}-P_{t}}{P_{t}} \]\)

Here's an example code snippet that demonstrates how you can calculate the `next_month` Series using pandas in a Jupyter Notebook:

```python

import pandas as pd

# Assuming you have a Series of market prices

market_prices = pd.Series([100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 205, 210])

# Calculate the return over the following 21 days

next_month = (market_prices.shift(-21) - market_prices) / market_prices

# Display the result

print(next_month)

```

In the code snippet above, we import the pandas library and create a Series called `market_prices` with sample data. The `shift()` function is used to shift the Series forward by 21 days, and then we subtract the original `market_prices` from the shifted Series.

Finally, we divide the difference by the original `market_prices` to get the return as a fraction. The result is stored in the `next_month` Series.

You can execute this code cell in Jupyter Notebook by selecting it and pressing the "Run" button or using the keyboard shortcut (usually Shift + Enter). The output will be displayed below the code cell, showing the values of the `next_month` Series based on the provided formula.

That's it! You now have the `next_month` Series containing the return of the market over the following 21 days. Feel free to modify the code or adapt it to your specific needs.

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Answer:

Identify the sequence, hten use the formula to find the first term a1=2

Identify the sequence, then use if the formula to find the second term a3=-6

Step-by-step explanation:

The two expressions that add to get a sum of - n + 6 are A. (-6n) + (6 + 2n) and B. (- 10n + 2) + (6n + 4)

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that the expression is;

- 4n + 6

Now the expression as

A. (-6n) + (6 + 2n)

After adding, we have;

(-6n) + (6 + 2n) = -6n + 6 + 2n

= - 4n + 6

B. (- 10n + 2) + (6n + 4)

After adding we have;

(- 10n + 2) + (6n + 4) = - 10n + 2 + 6n + 4

= - 4n + 6

Hence, The two expressions that add to get a sum of - n + 6 are A. (-6n) + (6 + 2n) and B. (- 10n + 2) + (6n + 4)

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Answer:

4c + 5 = R

Step-by-step explanation:

This should help you

Answer:

14.5$ from the money

addsing the expense

Answer:

total rupees 120.5. Please Mark it as brainlist answer.

Answer:

x = 6

ABC = 24

BCA = 66

Step-by-step explanation:

Complementary angles equal 90°

4x + 11x = 90

Add 4x and 11x

15x = 90

Divide by 15

x = 6

Replace x with 6

4 · 6 = 24

11 · 6 = 66

Check:

24 + 66 = 90

I hope this helps!!!

Answer:

70

Step-by-step explanation:

-70 / -1

= 70 / 1

= 70

The cost of 1 kilogram of pears is $5.70.

The cost of 1 kilogram of pears can be found by using the given information and setting up an equation. First, let's repeat the question: "1 kilogram of pears cost as much as 1.5 kilograms of apples. Alex paid $34.20 for 4 kilograms of pears and 3 kilograms for apples. How much did 1 kilogram of pears cost?"

Let's assign variables to the unknowns:

- P = cost of 1 kilogram of pears

- A = cost of 1 kilogram of apples

From the question, we know that:

- 1P = 1.5A - 4P + 3A = 34.20

Now, we can use substitution to solve for P.

1. Substitute 1.5A for P in the second equation: 4(1.5A) + 3A = 34.20

2. Simplify: 6A + 3A = 34.20

3. Combine like terms: 9A = 34.20

4. Solve for A: A = 34.20/9 A = 3.8

5. Substitute 3.8 for A in the first equation: 1P = 1.5(3.8)

6. Solve for P: P = 5.7

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Answer:12.04

Step-by-step explanation:

A^2 +B^2=C^2- pythag formula

8x8=64

9x9=81

64+81 =145

c= root 145  square root it as a squared + b squared = c squared

c=12.0415

15 Kilocalorie (international) (kcal) = 15000 Calorie (cal)

The kilocalorie, sometimes call kilogram calorie is a measurement unit of energy. It is defined as the amount of energy needed to raise the temperature of one kilogram of water by one degree Celsius. The symbol of kilocalorie is kcal. The kilocalorie is commonly used in measuring the calorific, heating, or metabolizing value of foods. It is equal to 1000 calories, or approximately 4.2 kilojoules.

The calorie is a pre-SI metric unit of energy. Its symbol is cal, and first defined as a unit of heat by Nicolas Clément in 1824. The calorie is commonly used in the field of chemistry, and in many countries it is commonly used as a unit of food energy. There are two defined for the calorie, gram calorie (approximately equals 4.2 joules) and kilogram calorie (approximately equals 4.2 kilojoules).

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Answer:

6400

Step-by-step explanation:

643 × 10 = 6430

Nearest hundredth is the third last digit so it should be the number 4

Since the digit after 4 is less than 5, we keep the number the same

The answer you should get is 6400

Answer:

B) 6 inches

Step-by-step explanation:

==>Given that ∆JKL ~ ∆TUV, it therefore means the ratio of proportion of the corresponding sides of ∆JKL and ∆TUV are equal.

Thus:

JK/TU = JL/TV = KL/UV

10/7.5 = 8/x = 13/9.75

Let's find x

10/7.5 = 8/x

=>Cross multiply

10*x = 8*7.5

10x = 60

Divide both sides by 10

x = 6 inches

Our answer is B) 6 inches

The missing values are:

BC = 25, BN = 16, NC = 9, and AN = 12

Given:

AB = 20

AC = 15

Using the Pythagorean theorem in triangle ABC:

CB = √AC² + AB²

CB= √20² + 15²

CB= √625

CB= 25

Since, AN is altitude we have ΔNBA~ΔABC and ΔNAC~ΔABC

BN / AN = BA / CB

BN/ 20= 20/25

BN = 16

and, AN / BA = AC / CB

AN /20 = 15/ 25

AN = 12

Now, CN=  CB - BN

CN = 25- 16

CN= 9

BC^2 = 20^2 + 15^2

BC^2 = 400 + 225

Since ΔANC is a right triangle so

AN = √15²-12²

AN = √81

AN = 9

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Beau will have earned approximately $169,645.12 in compound interest after 73 years.

To calculate the compound interest, we use the formula:A = P(1 + r/n)^(nt)

Where:

A is the final amount,

P is the initial principal (amount saved),

r is the annual interest rate (expressed as a decimal),

n is the number of times interest is compounded per year,

and t is the number of years.

In this case, Beau has saved $10,000, the interest rate is 5% (or 0.05 as a decimal), and the interest is compounded annually (n = 1). Beau is saving for 73 years (t = 73).

Plugging these values into the formula, we have:A = 10000(1 + 0.05/1)(1*73)

Calculating the exponent and rounding to the nearest cent, we find that Beau will have earned approximately $169,645.12 in compound interest after 73 years.

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a. The MRS is constant (not diminishing) at 1/3.

U(x,y) = 3x + y

The MRS for this utility function can be found by taking the partial derivative of x concerning y:

MRS = ∂U/∂y / ∂U/∂x = 1 / 3

The MRS is constant (not diminishing) at 1/3.

b. The MRS is diminishing because as y increases, the MRS decreases.

U(x,y) = x * y

The MRS for this utility function can be found by taking the partial derivative of x concerning y:

MRS = ∂U/∂y / ∂U/∂x = 1 / y

The MRS is diminishing because as y increases, the MRS decreases.

c. The MRS is diminishing because as y increases, the MRS decreases.

U(x,y) = x * y

The MRS for this utility function can be found by taking the partial derivative of x concerning y:

MRS = ∂U/∂y / ∂U/∂x = 1 / y

Similar to the previous case, the MRS is diminishing because as y increases, the MRS decreases.

d. The MRS depends on the ratio of y to x and can vary.

U(x,y) = x^2 - y^2

The MRS for this utility function can be found by taking the partial derivative of x concerning y:

MRS = ∂U/∂y / ∂U/∂x = -2y / 2x = -y / x

The MRS depends on the ratio of y to x and can vary. It is not necessarily diminishing.

e. The MRS depends on the values of x and y and can vary.

U(x,y) = x + y / (x * y)

The MRS for this utility function can be found by taking the partial derivative of x concerning y:

MRS = ∂U/∂y / ∂U/∂x = -1 / (y^2) + 1 / (x^2 * y)

The MRS depends on the values of x and y and can vary. It is not necessarily diminishing.

Now let's move on to the second part of the question:

For parts a, b, and c, we need more specific information about the utility functions, such as the values of α and β, to calculate the demand curves for x and y, the indirect utility function, and the expenditure function.

To show that the demand curve is homogeneous in degree zero in terms of income and prices, we need the specific functional form of the utility functions and information about the prices of x and y. Please provide the necessary details for parts A, b, and c to continue the analysis.

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Given:

The function is:

\(f(x)=-4(1.09)^x\)

The table of values for the function g(x).

To find:

The equation that best compares the y-intercepts of f(x) and g(x).

Solution:

We have,

\(f(x)=-4(1.09)^x\)

Putting \(x=0\), we get

\(f(x)=-4(1.09)^0\)

\(f(x)=-4(1)\)

\(f(x)=-4\)

So, the y-intercept of the function f(x) is -4.

From the given table of values, it is clear that the function f(x) passes through the point (0,-4). So, the y-intercept of the function g(x) is -4.

The y-intercept of f(x) is equal to the y-intercept of g(x).

Therefore, the correct option is A.

Answer:

A) The y-intercept of f(x) is equal to the y-intercept of g(x).

The mathematical instructions that define lines, curves, text, ovals, and other geometric shapes is vector graphics

The vector graphics is defined as the computer graphics that the  visual images are created directly from geometric shapes. It is defined on the Cartesian plane such as lines, curves, texts, ovals and other geometric shapes

The vector artworks are the artwork that created by vector graphics. There will be lines curves, text, oval and other geometric shapes according to the mathematical expression

Therefore, the vector graphics is the mathematical instruction that defines the geometric shapes

Hence, the mathematical instructions that define lines, curves, text, ovals, and other geometric shapes is vector graphics

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Answer:

9/5 or 1.8

Step-by-step explanation:

triangle aed is larger than triangle abc by a scale factor of 5; we know this because side ed is 5 units and cb, the corresponding side in triangle abc, is 1. if ad has a length of 9, the length of ab must be 9 divided by five. thus, z is equal to 9/5 or 1.8.

​Yes, the multiple regression equation should be used for predicting the height of a son based on the height of his father and mother because the​ P-value in the ANOVA table is very low.

Regression analysis is a group of statistical procedures used in statistical modeling to determine the associations between a dependent variable and one or more independent variables. A single dependent variable and numerous independent variables can be analyzed using the statistical approach known as multiple regression. In order to forecast the value of the single dependent value, multiple regression analysis uses independent variables whose values are known.

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The upper control limit for the x-bar chart for the temperature of champagne bottles is 52.243 degrees Fahrenheit for standard deviation.

To find the upper control limit for an x-bar chart, we use the formula:

Upper Control Limit = X-bar + A2 * (standard deviation / \(\sqrt{(sample size)}\))

Where X-bar is the average temperature across all bottles (52 degrees Fahrenheit), A2 is a constant factor based on the sample size (for a sample size of 9, A2 is 0.729), and the standard deviation is 0.9 degrees Fahrenheit.

Plugging in these values, we get:

Upper Control Limit = 52 + 0.729 * (0.9 / \(\sqrt{9}\))
Upper Control Limit = 52 + 0.243
Upper Control Limit = 52.243 degrees Fahrenheit

Therefore, the upper control limit for the x-bar chart for the temperature of champagne bottles is 52.243 degrees Fahrenheit. This means that if any sample of 9 bottles has an average temperature above this limit, it may indicate a problem with the process that needs to be addressed.

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The upper control limit (UCL) for the X-bar chart is 52.9 degrees Fahrenheit.

We will use the following terms to find the upper control limit (UCL) for an X-bar chart:
Average temperature (µ) = 52 degrees Fahrenheit
Standard deviation (σ) = 0.9 degrees Fahrenheit.

Sample size (n) = 9 bottles
Number of days (m) = 105 days.

To find the UCL, we first need to find the standard error (SE) using the formula:
SE = σ / √n
Substitute the given values into the formula:
SE = 0.9 / √9 = 0.9 / 3 = 0.3 degrees Fahrenheit
Now we'll use the control chart formula to find the UCL, which is:
UCL = µ + 3 * SE
Substitute the values:
UCL = 52 + 3 * 0.3 = 52 + 0.9 = 52.9 degrees Fahrenheit.

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Answer:

it's 10

Step-by-step explanation:

don't know the steps

The amount of money that I will have at the end of 20 years would be =$4,480. That is option D

Compound interest is defined as the interest that is being earned on an account which is based on the rate and the time the investment was made.

The total amount invested (p)= $2,000

The rate of investment (r) = 5%

The time of investment(t)= 12 year

The compound interest warm from that account;

= P×T×R/100.

= 2,000×12×5/100

= 120000/100

= $1200

For the next 8 years with the rate of 8% ;

= 2,000×8×8/100

= 128000/100

= $1280

The total compound interest = $1200+$1280= $2,480

Therefore, the amount of money that I will have at the end of 10 years would be = 2000+2480 = $4,480

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