4100 babies were born in a hospital last year the number of babies born in the hospital this year decreased by 6% whole many babies were born this year​

Answer:

I'm not sure if this what your looking for as an answer, but I hope it helped!

The function h(x) is given as the power series:

=h(x) = x³ + (x⁴/3) + (x⁵/5) + (x⁶/7) + (x⁷/9) + ...

Part A: To determine the interval of convergence, we use the ratio test:

lim(n→∞) |(x^(n+4))/(2(n+2)+1) * (2n+1)/(x^n+3)| = lim(n→∞) |x|^2/2 = |x|^2/2

The ratio test tells us that the series converges if |x|²/2 < 1 and diverges if |x|²/2 > 1. Therefore, the interval of convergence is -√2 < x < √2.

Part B: To find h′(−1), we differentiate the power series term by term:

h′(x) = 3x² + 4x³/3 + 5x⁴/5 + 6x⁵/7 + 7x⁶/9 + ...

h′(−1) = 3(−1)² + 4(−1)³/3 + 5(−1)⁴/5 + 6(−1)⁵/7 + 7(−1)⁶/9 + ...

= 3 − 4/3 + 1/5 − 6/7 + 1/9 − ...

= ∑(n=0 to ∞) (−1)^n * (2n+3)/(2n+1)

We can use the alternating series test to show that the series converges. The terms decrease in absolute value, and the limit of the terms approaches zero. Therefore, h′(−1) converges.

The relationship between the radius of convergence and interval of convergence of h(x) and h′(x) is that the radius of convergence of h′(x) is the same as that of h(x), but the interval of convergence may be different due to the behavior at the endpoints.

Part C: To determine if h(x²) has any points of inflection, we differentiate twice:

h(x²) = (x²)³ + ((x²)⁴/3) + ((x²)⁵/5) + ((x²)⁶/7) + ((x²)⁷/9) + ...

h′(x) = 3x⁴ + 4x⁵/3 + 5x⁶/5 + 6x⁷/7 + 7x⁸/9 + ...

h″(x) = 12x³ + 20x⁴/3 + 30x⁵/5 + 42x⁶/7 + 56x⁷/9 + ...

We can see that h″(x) is always positive, so h(x²) does not have any points of inflection.

Answer: look at the picture

Step-by-step explanation: Hope this help :D

Answer:

29.68

Step-by-step explanation:

If you are rounding to the hundredth place, you take the number in the hundredth place and round it. If it is less than five, for example, if you were rounding 29.674 then it would be 29.67 because 4 is not 5 or more. With 29.675 you will round to 29.68. A saying to remember is, five or above, give it a shove.

Coordinates of L after rotation are  (-8,4)

What are the rules of 270 degrees rotation of coordinates about the origin?

Assuming that the rotation is about  (0,0)

then after 270° clockwise rotation (x, y) becomes (-y, x)

and after 270°  anticlockwise rotation (x, y) becomes (y,-x)

Given that LMN with vertices L(4,8), M(4,3) and N(8,8) is rotated  270°  clockwise about the origin

Then for L(4,8) as the rotation is  270°  clockwise then  

(x, y) = (4,8)

and after 270° clockwise rotation (x, y) becomes (-y, x)

Therefore new coordinates of L are (-8,4)

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In order to find the value of c for which P(z > c) = 0.6454 for the standard normal distribution, we can make use of a z-table which gives us the probabilities for a range of z-values. The area under the normal distribution curve is equal to the probability.

The z-table gives the probability of a value being less than a given z-value. If we need to find the probability of a value being greater than a given z-value, we can subtract the corresponding value from 1. Hence,P(z > c) = 1 - P(z < c)We can use this formula to solve for the value of c.First, we find the z-score that corresponds to a probability of 0.6454 in the table. The closest probability we can find is 0.6452, which corresponds to a z-score of 0.39. This means that P(z < 0.39) = 0.6452.Then, we can find P(z > c) = 1 - P(z < c) = 1 - 0.6452 = 0.3548We need to find the z-score that corresponds to this probability. Looking in the z-table, we find that the closest probability we can find is 0.3547, which corresponds to a z-score of -0.39. This means that P(z > -0.39) = 0.3547.

Therefore, the value of c such that P(z > c) = 0.6454 is c = -0.39.

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Answer:

c. the radius

Step-by-step explanation:

To calculate the radius of a sphere:

r = d x ½

where d = diameter

Step-by-step explanation:

he sold the house for 180000, which is 24% more than the amount he paid.

180000 = x + 0.24x

Simplifying this equation, we get:

1.24x = 180000

x = 180000 / 1.24

x ≈ 145161.29

Chengbo paid approximately 145161.29 yuan for the house.

The Domain of the function is : (−∞,∞).

A relation is any subset of a Cartesian product.

As an illustration, a subset of is referred to as a "binary connection from A to B," and more specifically, a "relation on A."

A binary relation from A to B is made up of these ordered pairs (a,b), where the first component is from A and the second component is from B.

Every item in a set X is connected to one item in a different set Y through a connection known as a function (possibly the same set).

A function is only represented by a graph, which is a collection of all ordered pairs (x, f (x)).

Every function, as you can see from these definitions, is a relation from X .

Hence, The Domain of the function is : (−∞,∞).

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The graph of a proportional relationship is a line through the origin or a ray whose endpoint is the origin

3. No because it's a line that doesn't go through the origin

4. Yes because it's a line through the origin

5. Yes because 1/3 = 2/6 = 3/9 = 4/12

6. No because 4/2 isn't equal to 8/5

7. Draw a graph just like 4., but change the y-axis

8. a. Let the equation be y = ax. 27 = 3a. a = 9. Therefore the equation is y = 9x.

8. b. 9

8. c. 9 * 5 = 45

9. a. The car travels 25 (> 18) miles per gallon of gasoline.

9. b. 25 * 8 - 18 * 8 = 7 * 8 = 56

The algebraic expression that represents the number of pieces on the chessboard after n pieces are removed is 32 - n.

The algebraic expression 32 - n represents the number of pieces on the chessboard after n pieces are removed. Since there are initially 32 pieces on the chessboard, subtracting n from that value gives us the remaining number of pieces. As pieces are removed, the total count decreases accordingly.

The expression 32 - n allows us to track the diminishing number of pieces as n increases, representing the changing state of the chessboard throughout the game.

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A point estimate is the value of a statistic that estimates the value of a parameter. Question 2 is false and question 3 is true.

Question 1: A point estimate is the value of a statistic that estimates the value of a parameter.A point estimate is a single number that is used to estimate the value of an unknown parameter of a population, such as a population mean or proportion

Question 2: False

Mu (μ) is not used to estimate X. Mu represents the population mean, while X represents the sample mean. The sample mean, X, is used as an estimate of the population mean, μ.

Question 3: True

Beta (β) is indeed used to estimate the population proportion (p) when conducting hypothesis testing on a sample. Beta represents the probability of making a Type II error, which occurs when we fail to reject a null hypothesis that is actually false. By calculating the probability of a Type II error, we indirectly estimate the population proportion, p, under certain conditions and assumptions.

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The probability of having at least one dog adopted is 0.6126

It is given that the probability to adopt a dog is 0.1

The adoption of the dog here clearly follows a Binomial distribution

ⁿCₓ  X  pˣ  X  (1 - p)ⁿ⁻ˣ

where,

n = no. os sample

p = probability of success

x = random variable.

Here the success would be the adoption of a dog, We are given here there were 9 visits

Hence,

n = 9

p = 0.1

1 - p = 0.9

we need to find the probability of the adoption of at least one dog

= P(X ≥ 1)

= 1 - P(X = 0)

Hence we get

P(X = 0)

= ⁹C₀  X  0.1⁰  X  0.9⁹

= 0.3874

Hence,

P(X ≥ 1)

= 1 - 0.3874

= 0.6126

Therefore the probability that at least one dog will be adopted is 0.6126

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Answer:

The answer is C

Step-by-step explanation:

Because it's going over 3 & up 1. Since it's rise over run it would be 1/3.

The given statement "for continuous random variables, the probability of any specific value of the random variable is one." is false because the random variable taking on any specific value is then given by the area under the PDF curve at that value, which is zero.

In fact, for continuous random variables, the probability of any specific value is zero. This may seem counterintuitive at first, but it is a fundamental property of continuous random variables.

The PDF is a function that describes the relative likelihood of the random variable taking on a particular value within its range. The probability of the random variable taking on a specific value is then given by the area under the PDF curve at that value.

Since the PDF is a continuous function, the probability of the random variable taking on any specific value is zero. This is because the area under a continuous curve at any single point is zero.

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Answer:

qrst similar to fehg

Step-by-step explanation:

opposite angles are equal in parallelogram so 70 is equal to 70 on both and similarly other angles also are equal that we can find using co interior property as well

plz marks me brainliest plz plz

Answer:

the quads are NOT similar is the right answer!!!

Step-by-step explanation:

I got it right:)

B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

To determine the possible values for the length of the third side of a triangle, we need to consider the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Given that two sides have lengths 6 and 9, we can analyze the possibilities:

6 + 9 > x

x > 15 - The sum of the two known sides is greater than any possible third side.

6 + x > 9

x > 3 - The length of the unknown side must be greater than the difference between the two known sides.

9 + x > 6

x > -3 - Since the length of a side cannot be negative, this inequality is always satisfied.

Based on the analysis, the possible values for the length of the third side are:

A. 7

C. 4

□E. 10

O F. 12

B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

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Answer:

$2.25 is answer

perimeter of circular garden=2πr=2×π×1.5=3πfeet

1 foot=$0.75

3πfeet=3×$0.75=$2.25

Answer:

1/12

Step-by-step explanation:

Answer:

1/3 divided by 4 is 1/12

Step-by-step explanation:

1/3 divided by 4

copy dot flip (as i was taught)

1/3 x 1/4

= 1/12

x acts as the "dot"

Answer:

Step-by-step explanation:

The slope-intercept form:

Find the slope using given points:

The y-intercept is given with point (0, 2):

The line is:

\(\\ \sf{:}\Rrightarrow m=\dfrac{10-2}{2-0}=\dfrac{8}{2}=4\)

Put in slope intercept form

\(\\ \sf{:}\Rrightarrow y=mx+b\)

\(\\ \sf{:}\Rrightarrow 2=4(0)+b\)

\(\\ \sf{:}\Rrightarrow 2=b\)

Equation of the line

\(\\ \sf{:}\Rrightarrow y=4x+2\)

\( \fbox{(2,5)}\)

Hello, substitute all the given coordinates & see if RHS match with LHS

given equation,

y = 4x-3

First coordinate,

(x,y) = (2,5)

5= 4×2-3

5=5

Hence, first solution satisfies the given equation,

let's solve for rest other cordinates,

second coordinate,

(x,y) = (5,5)

5= 4×5-3

5 ≠ 17

does not satisfy,

third coordinate,

(x,y) = (4,5)

5= 4×4-3

5 ≠ 13

does not satisfy,

fourth coordinate,

(x,y) = (4,5)

5 = 4×3-3

5 ≠ 9

does not satisfy.

Hence the correct answer is (2,5)

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Answer:

The speed of Natalie in miles per hour is 1.2 mph.

Step by step explanation:

distance covered by Natalie, d = 3/5 mile

time of motion of Natalie, t = 1/2 hour

speed = distance/time

speed = 3×2/5 = 6/5

Thus, the speed of Natalie in miles per hour is 1.2 mph.

The ordered pair lie on the inverse of the function is (62,−3).

Option A is the correct answer.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = -(x - 1)³ - 2

The inverse of f(x).

y = -(x - 1)³ - 2

interchange x and y and solve for y.

x = -(y - 1)3 - 2

(y - 1)³ = -2 - x

(y - 1)³ = -(2 + x)

Cuberoot on both sides.

y - 1 = ∛-(2 + x)

y = ∛-(2 + x) + 1

Now,

Substitute in the inverse of g(x).

(62, -3) = (x, y)

(−4, 123) = (x, y)

(3, 1) = (x, y)

(3,−6) = (x, y)

So,

y = ∛-(2 + x) + 1

y = ∛-(2 + 62) + 1

∛-1 = -1

y = -1∛64 + 1

y = -1 x 4 + 1

y = -4 + 1

y = -3

So,

(62, -3) ______(1)

And,

y = ∛-(2 + x) + 1

y = ∛-(2 - 4) + 1

∛-1 = -1

y = ∛(-2 + 4) + 1

y = ∛2 + 1

y =  1.26 + 1

y = 2.26

So,

(-4, 2.26) _______(2)

And,

y = ∛-(2 + x) + 1

y = ∛-(2 + 3) + 1

∛-1 = -1

y = -1∛5 + 1

y = -1 x 1.71 + 1

y = -1.71 + 1

y = -0.71

So,

(3, -0.71) _______(3)

And,

y = ∛-(2 + x) + 1

y = ∛-(2 + 3) + 1

∛-1 = -1

y = -1∛5 + 1

y = -1 x 1.71 + 1

y = -1.71 + 1

y = -0.71

So,

(3, -0.71) ______(4)

Thus,

From (1), (2), (3), (4) we see that,

(62, -3) is the solution to the inverse of g(x).

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Answer:

x = 0

Step-by-step explanation:

Using the rule of exponents

\(a^{0}\) = 1

Given

\((2^{6}) ^{x}\)

= \(2^{6x}\)

The only way for this to equal 1 is for x to be zero

Thus x = 0

Answer:

Step-by-step explanation:

The Domain of the function f(x) = \(\frac{3}{4}\) | x | - 3 is set all real numbers.

The Range of the given function is [ - 3 , ∞ )

Answer:

1,000

Step-by-step explanation:20*50

Answer:

The coordinates for the outlier are (14,13)

I believe it is a positive correlation

13.6 hours of sunshine would be my guess but I'm not 100% sure

I believe the last answer is A.

Answer:

x = 12

Step-by-step explanation:

Simplifying

9 + 2x = 33

Solving

9 + 2x = 33

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-9' to each side of the equation.

9 + -9 + 2x = 33 + -9

Combine like terms: 9 + -9 = 0

0 + 2x = 33 + -9

2x = 33 + -9

Combine like terms: 33 + -9 = 24

2x = 24

Divide each side by '2'.

x = 12

Simplifying

x = 12