If the nth partial sum of an infinite series is O 1. series diverges Sn 3n2 – 4 4n2 + 3 2. sum = -1 4. what is the sum of the series? 3. sum که این 3 4. sum = 1 5. sum = 3 4

The smallest sample size n that provides the desired accuracy is 10.

To find the smallest sample size n that provides the desired accuracy, we can use the formula:

n = (Z-value * standard deviation / margin of error)²

Where:
Z-value = the critical value for the desired confidence level (in this case, 1.96 for 95% confidence)
Standard deviation = the preliminary sample standard deviation (1.5 in this case)
Margin of error = the desired accuracy (0.3 units in this case)

Substituting the values, we get:

n = (1.96 * 1.5 / 0.3)²
n = 9.8

Since we cannot have a fractional sample size, we round up to the nearest whole number, giving us:

n = 10

Therefore, the smallest sample size n that provides the desired accuracy is 10.

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Answer:

y = − 5 x − 21

Step-by-step explanation:

Use the point slope formula y − y 1 = m ( x − x 1 )   to find the parallel line.

Answer:

d + c = 12

d = 2c - 3

Step-by-step explanation:

Given that :

Total number of dogs and cats = 12

Let :

Dogs = d ; Cats = c

d + c = 12

Number of dogs = 2 times the number of cats less than 3 ;

Mathematically,

d = 2c - 3

The system of equations to model the situations are,

d + c = 12 and d = 2c - 3.

System of equations are a set of two or more equations which has to be solved together, which means the solution we get after solving these equations must be satisfying for all the equations given.

System of equations will get a unique solution if the number of variables in the equation is equal to the number of equations in the system.

Let 'c' denote the number of cats and 'd' denote the number of dogs.

Total number of dogs and cats = 12

That is, d + c = 12

Number of dogs is 3 less than twice the number of cats.

So, d = 2c - 3

Hence the system of equations to model the given statements is,

d + c = 12

d = 2c - 3

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Step-by-step explanation:

-1 × -3/10

=> 3/10

Multiplicative Inverse/Reciprocal of 3/10 = 10/3

Let's write and equation for both cases.

In plan 1, it is 500 plus 3% comission. 3% is equivalent to multiply the amount it sale in the week, "x", by 0.03.

So, the equation for plan 1 is:

For plan 2, there is no fixed value, only comission of 5%, which is equivalent of multiplying the weekly sales, "x", by 0.05, so the equation is:

For both plans to result in the same salary, we have:

So, for both plans to result in the same salary, she have to sale 25,000 in a week.

Answer:

Step-by-step explanation:

It is non-linear. A linear function can be written in the form y = mx + b

Answer:

Step-by-step explanation:

home

The study provides evidence that the type of feed supplement has a significant effect on the growth rate of chickens, and some feed supplements are more effective than others in promoting growth.

The experiment aimed to compare the effectiveness of different feed supplements on the growth rate of chickens. Newly hatched chicks were randomly assigned to six groups, each receiving a different feed supplement. The study recorded the weight of the chicks, and sample statistics and a visualization of the observed data were presented.

The hypothesis test conducted aimed to determine if there was sufficient evidence to conclude that the average weight of chicks varies across some or all groups. The null hypothesis assumes that there is no difference in the average weight of chicks on different diets, while the alternative hypothesis assumes that there is a difference.

To test the hypothesis, we need to check if the conditions for the ANOVA test are met. First, we need to assume that the population variances are equal across all groups, which we can verify by checking if the standard deviations of the groups are roughly equal.

In this case, the standard deviations range from 38.63 to 64.90, indicating that the assumption of equal variances may not be reasonable. However, we will still proceed with the ANOVA test, as the sample sizes are roughly equal and the assumption of equal variances is not critical when the sample sizes are equal.

Next, we can calculate the F-statistic by dividing the mean square between groups by the mean square within groups. The F-statistic is 15.4, with a p-value of less than 0.0001, indicating strong evidence against the null hypothesis.

Therefore, we can conclude that there is convincing evidence that the average weight of chicks varies across some or all groups.

To determine which groups differ significantly, we can perform post-hoc tests, such as Tukey's HSD test. These tests can identify which pairs of groups have significantly different mean weights.

Overall, the study provides evidence that the type of feed supplement has a significant effect on the growth rate of chickens, and some feed supplements are more effective than others in promoting growth.

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Answer:

30 degrees

Step-by-step explanation:

its obtuse which is 90 degrees angle

Answer:

50

Step-by-step explanation:

all triangles angles add up to 180, add up the other 2 sides, then subtract from 180, 130, which means because of how triangles work, the other side must make it equal to 90, so 130+50=180.

Answer: 23.64

Step-by-step explanation: we can write this as a fraction by doing 94.56/4 so in long division I can really type it out so the answer is 23.64

so every person will pay 23.64

Answer:

$171

Step-by-step explanation:

=PRN

950×0.06×3

hope this helps and makes sense :))

Answer:

$171

Step-by-step explanation:

SI=950×6×3/100

=$171

HOPE IT HELPS

Answer: D

Step-by-step explanation:

5 x 3 = 15

8 x 3 = 24

the multipliers are both 3

so they are "similar shapes".

The other options don't have the same multipliers so they aren't right :)

I believe it is D. All the others are expressions so...

The integral ∫-4 to 4 ; (3−|x|)dx can be interpreted as the area of two triangles with base 4 and height 3 each. Thus, the total area under the curve is equal to the sum of the areas of the two triangles, which is 12.

To interpret the integral of areas, we can split it into two parts, one where x is positive and one where x is negative.

For x between 0 and 4, the integrand is given by (3 - x), which represents a line with a slope of -1 that passes through the point (3, 0) and intersects the x-axis at (0, 3). Therefore, the integral of (3 - x) dx from x = 0 to x = 4 represents the area of a triangle with base 4 and height 3, which is (1/2)(4)(3) = 6.

For x between -4 and 0, the integrand is given by (3 + x), which represents a line with a slope of 1 that passes through the point (-3, 0) and intersects the x-axis at (0, 3). Therefore, the integral of (3 + x) dx from x = -4 to x = 0 represents the area of another triangle with base 4 and height 3, which is also equal to 6.

Therefore, the total area under the curve given by the integral from x = -4 to x = 4 of (3 - |x|) dx is equal to the sum of the areas of the two triangles, which is 6 + 6 = 12.

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Answer:

y = 2(x + 4)² - 6

General Formulas and Concepts:

Step-by-step explanation:

Step 1: Define function

y = 2x² + 16x + 26

Step 2: Find vertex form

The number will be 6,125.Given, we need to form a four-digit number using the digits 1, 2, 3, and 4. The number should satisfy the following conditions:The thousands digit is three times the tens digit.The hundreds digit is one more than the units digit.The sum of all four digits is 10.

To find: The four-digit number

Solution:Let us assume the digit in the unit place to be x.∴ The digit in the hundredth place will be x + 1∴ The digit in the tenth place will be a.

Let the digit in the thousandth place be 3a∴ According to the given conditions a + 3a + (x + 1) + x = 10⇒ 4a + 2x + 1 = 10⇒ 4a + 2x = 9……(1)

Now, the value of a can be 1, 2, or 3 because 4 can’t be the thousandth place digit as it will make the number more than 4000.Using equation (1),Let a = 1⇒ 4 × 1 + 2x = 9⇒ 2x = 5, which is not possible∴ a ≠ 1

Similarly,Let a = 3⇒ 4 × 3 + 2x = 9⇒ 2x = −3, which is not possible∴ a ≠ 3

Let a = 2⇒ 4 × 2 + 2x = 9⇒ 2x = 1⇒ x = 1/2Hence, the number will be 6,125. Answer: The four-digit number will be 6,125.

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Answer:

I didn't understand the question well is it 1.8meter in 1h24m if so then here is my answer

Step-by-step explanation:

so basically to make things easy for me I convert hours to minutes 4h is 4×60=240minutes 1h24min= 84min right

so if I baby walks 1.8m in a 84min then in a 240min they gonna walk X meter

84min-->1.8m

240min--> X

so 240×1.8÷84=5.14

So a baby will walk 5.14m in 4H

Answer:

235.5

Step-by-step explanation:

i show the calculation in picture

There are 30 of 1/10's in the number 3

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

How many 1/10's are in 3?​

The above statement is a quotient expression that has the following features

Dividend = 3

Divisor = 1/10

So, we have

Quotient = Dividend /Divisor

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

Quotient = 3/(1/10)

Evaluate

Quotient = 30

Hence, there are 30 1/10's

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Answer:

(-3,-3)

Step-by-step explanation:

The point (-3,0) is on the graph of the function y = f(x), the point cannot be on the graph of y = f(x) is (-3, -3). So Option B is correct

Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).

Vertical line test:-

Whenever we want to check whether a given expression is a function or not we can apply a vertical line test, in this test we check for a single image of x , we are getting a single image or more.

If we get more images then it will not be a function.

For example, let us take, y² = 4ax

y = ±√4ax

For single value of x we get two values of y

Hence, it will not be a function.

Given that,

A function y = f(x)

A point which lies on the function (-3, 0)

for x = -3  value of y is equal to 0

So, according to definition of function for x  = -3, there will be only one value of y which is equal to zero,

Therefore, the point (-3, -3) can not lie on the function y = f(x)

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The shortest distance between Caroline's and Mattie's houses can be found using the Pythagorean theorem.

By considering Caroline's northward walk of 6 blocks and then eastward walk of 8 blocks, the shortest distance can be calculated as 10 blocks.

To find the shortest distance between Caroline's and Mattie's houses, we can visualize their movements as forming a right triangle. Caroline walks north for 6 blocks and then turns east for 8 blocks, creating a right-angled triangle.

According to the Pythagorean theorem, the square of the hypotenuse (shortest distance) is equal to the sum of the squares of the other two sides.

Using the Pythagorean theorem, we can calculate the shortest distance as follows: sqrt((6^2) + (8^2)) = sqrt(36 + 64) = sqrt(100) = 10 blocks. Therefore, the shortest distance between Caroline's and Mattie's houses is 10 blocks.

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Answer:

660 square feet

Step-by-step explanation:

1 chain = 66 feet

Length ( l ) = 66 feet

Breadth ( b ) = 10 feet

To find :

The area of a cricket pitch in square feet = ?

The area of a cricket pitch in square feet will be in the shape of rectangle.

Formula : -

Area of a rectangle = lb

Area of a rectangle

= 66 x 10

= 660 square feet

Therefore,

660 square feet is the area of a cricket pitch.

Answer:

660

Step-by-step explanation:

I chain = 22 * 3 so to find the area we have to do (22*3) * 10 = 660

Hope this solved your question!

Theorem 1 states that if m leaves a remainder of 6 upon division by 7 and n leaves a remainder of 5 upon division by 7, then (i) m + n leaves a remainder of 4 upon division by 7, (ii) m − n leaves a remainder of 1 upon division by 7, (iii) m · n leaves a remainder of 2 upon division by 7, and (iv) n − m leaves a remainder of 6 upon division by 7.

This theorem is true for various combinations of positive and negative integers that satisfy the given conditions, as illustrated by the examples provided.The theorem is based on the fact that when an integer is divided by 7, the possible remainders are 0, 1, 2, 3, 4, 5, or 6. By analyzing the remainders of m and n upon division by 7, we can deduce the remainders of their sum, difference, and product upon division by 7 using basic algebraic manipulations. The proof of the theorem is based on modular arithmetic, a branch of mathematics that studies the arithmetic of remainders.

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The vertex form of the equation is y = (x - 3)² - 4, which corresponds to option OD.

To convert the given equation from standard form to vertex form, we need to complete the square.

The vertex form of a parabola's equation is y = a(x-h)² + k, where (h, k) represents the vertex of the parabola.

Given equation: y = x² - 6x + 14

Move the constant term to the right side:

y - 14 = x² - 6x

Complete the square by adding and subtracting the square of half the coefficient of x:

y - 14 + 9 = x² - 6x + 9 - 9

Group the terms and factor the quadratic:

(y - 5) = (x² - 6x + 9) - 9

Rewrite the quadratic as a perfect square:

(y - 5) = (x - 3)² - 9

Simplify the equation:

y - 5 = (x - 3)² - 9

Move the constant term to the right side:

y = (x - 3)² - 9 + 5

Combine the constants:

y = (x - 3)² - 4

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Answer:

Option C is correct

Step-by-step explanation:

A = 64 - 9x^2

   = 8^2 - (3^2)(x^2)

   = 8^2 - (3x)^2

Hope this helps!

The Solution:

Given:

18.0, 30.7, 19.8, 27.1, 22.3, 18.8, 31.8, 23.4, 21.2, 27.9, 31.9, 27.1, 25.0, 24.7, 26.9, 21.8, 29.2, 34.8, 26.7, and 31.6.

Required:

To test the claim that the mean rainfall from seeded clouds exceeds 25 ace-feet.

Step 1:

Find the mean.

Step 2:

Find the standard deviation.

Step 3:

Hypothesis:

From the Z score tables,

Since the p-value is greater than 0.05, we fail to reject the null hypothesis.

Therefore, there is no fact to support the claim that the mean rainfall exceeds 25 acre-feet.

The solution to the algebraic expression (2x-3)(6x-5) after you combine your like terms is 12x² - 28x + 15

(2x-3)(6x-5)

open parenthesis

12x² - 10x - 18x + 15

collect like terms

12x² - 28x + 15

Hence, 12x² - 28x + 15 is the solution to the algebraic expression (2x-3)(6x-5)

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Answer:

Step-by-step explanation:

Answer:

it's 42

Step-by-step explanation:

6 7's

6 12 28 24 30 36 42