In interval estimation, as the sample size becomes larger, the interval estimate
becomes narrower. becomes wider. remains the same, because the mean is not changing.
gets closer to 1.96.

Answer:

31.99in

Step-by-step explanation:

Answer:

241,000

Step-by-step explanation:

When multiplying a number with a base of 10 raised to the nth power. Move the decimal point of that number n digits to the right.

\((1.28 \times {10}^{5} ) + (113 \times {10}^{3} )\)

\(128000 \: + \: 113000\)

\(241000\)

Answer:

339n in^3

Step-by-step explanation:

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

Water in the cylinder = volume of cylinder - volume of sphere

volume of a cylinder = nr^2h

n = 22/7

r = radius = 10/2 = 5

n x (5^2) x 15 = 375 in^3

volume of a sphere = (4/3) x (n) x (r^3)

n = 22/7

r = 6/2 = 3

(4/3) x (n) x (r^3) =  36n

Answer:

$159,000

Step-by-step explanation:

One way in which to do this multiplication problem is to rewrite 1000 as 1*10^3.

Then 1000*1000 = $159,000

Answer:

E. 9, F. 10

Step-by-step explanation:

Area of the rectangle: 3b

Area of the white triangle: 3b/3

Area of shaded region: 3b/2

3b/2 > 12

3b > 24

b > 8

Answer: E. 9, F. 10

The second derivative of the function f(x) is f''(x) = 8.

To find the derivative of the function f(x) = 4x^2 + 6x + 3 using the definition of derivative, we need to apply the limit definition of the derivative. Let's denote the derivative of f(x) as f'(x).

Using the definition of the derivative, we have:

f'(x) = lim(h -> 0) [(f(x + h) - f(x)) / h]

Substituting the function f(x) = 4x^2 + 6x + 3 into the definition and simplifying, we get:

f'(x) = lim(h -> 0) [((4(x + h)^2 + 6(x + h) + 3) - (4x^2 + 6x + 3)) / h]

Expanding and simplifying the expression inside the limit, we have:

f'(x) = lim(h -> 0) [(4x^2 + 8xh + 4h^2 + 6x + 6h + 3 - 4x^2 - 6x - 3) / h]

Canceling out terms, we are left with:

f'(x) = lim(h -> 0) [8x + 8h + 6]

Taking the limit as h approaches 0, we obtain

f'(x) = 8x + 6

Therefore, the derivative of f(x) is f'(x) = 8x + 6

To find the second derivative, we differentiate f'(x) = 8x + 6. Since the derivative of a constant term is zero, the second derivative is simply the derivative of 8x, which is:

f''(x) = 8

Hence, the second derivative of f(x) is f''(x) = 8.

Learn more about derivative here:

https://brainly.com/question/29144258

#SPJ11

Sammy originally took out approximately $5357.14 to fund his education.

The rate of interest, also known as the interest rate, is the percentage amount charged by a lender or financial institution for the use of borrowed money or for the extension of credit. It is the cost of borrowing money, typically expressed as an annual percentage of the amount borrowed or owed.

Let X be the amount Sammy took out originally to fund his education.

After 5 years, the amount he has to pay back is X + (0.08X5) = X + 0.4X = 1.4X.

We know that 1.4X = $7500, so we can solve for X:

1.4X = $7500

X = $7500 / 1.4

X ≈ $5357.14

Therefore, Sammy originally took out approximately $5357.14 to fund his education.

To know more about percentage , visit:

https://brainly.com/question/29306119

#SPJ1

So, we have:

A

Answer:

\(= -2x^2 +4x+ 16\)

Step-by-step explanation:

From the given equation:

\((x+ 2 ) \ and \ (-2x +8)\)

As a single equation, we have:

\(= (x + 2) \ \times \ ( -2x + 8) \ = 0\)

open brackets

\(\implies -2x^2 +8x +(-4x) + 16\)

\(= -2x^2 +4x+ 16\)

Answer:

x = 8\(\sqrt{5}\)

Step-by-step explanation:

Using the Altitude- on - Hypotenuse theorem

(leg of large Δ )² = (part of hypotenuse below it ) × (whole hypotenuse )

x² = 16 × (16 + 4) = 16 × 20 = 320 ( take square root of both sides )

x = \(\sqrt{320}\) = \(\sqrt{64(5)}\) = 8\(\sqrt{5}\)

Answer:

118 (Answer if you need ;-;)

Step-by-step explanation:

\(0.24\sqrt{28.32}\) --> \(24\sqrt{2832}\)

Step 1) Get rid of decimal points

### Now it's regular long division.

A circle inside a semicircle is depicted in the diagram. The circle measures 10 cm in diameter. The semicircle has a 20 cm diameter. Calculate the shaded area. Give a precise response to the nearest decimal point.

The area of the shaded region is 39.3\(cm^{2}\).

Given the diagram shows a circle inside a semicircle.

Every point in the plane of a circle, which is a closed, two-dimensional object, is evenly separated from the center. All lines that cross the circle join together to produce the line of reflection symmetry. Every angle also possesses rotational symmetry about its center.

Area of a circle = \(\pi r^{2}\).

Semicircle is when a line travelling through the center of a circle reaches its two ends, a semicircle is created. Thus, a circle can be formed by combining two semicircles.

Area of a semicircle = \(\frac{1}{2} \pi r^{2}\).

The circle has a diameter of 10 cm. The semicircle has a diameter of 20 cm.

Semicircle:

\(r_{1}=\frac{d_{1} }{2}=\frac{20}{2}=10cm\\S_{1}=\frac{ \pi r_{1}^{2} }{2} =\frac{ \pi \times 10^{2} }{2} =50\pi cm^{2}\)

Circle:

\(r_{2}=\frac{d_{2} }{2}=\frac{10}{2}=5cm\\S_{2}=\pi r_{2}^{2} = \pi \times 5^{2} =25\pi cm^{2}\)

So,

\(S=\frac{S_{1} -S_{2}}{2} \\S=\frac{50\pi -25\pi}{2}\\S=\frac{25\pi}{2} \\S=39.3cm^{2}\)

Therefore, The area of the shaded region is 39.3\(cm^{2}\).

To learn more about semicircle visit: https://brainly.com/question/3442660

#SPJ1

The required value of the given function is (f ⋅ g)(4) = 130.

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

The functions are given in the question, as follows:

f(x)=3x+1 and g(x)=x²-6

(f ⋅g)(x) is the composition of the functions f and g, which means f(x) × g(x).

(f ⋅ g)(x) = f(x) × g(x)

So, substituting x = 4:

(f ⋅ g)(4) = f(4) × g(4)

= (3 × 4 + 1)×(4² - 6)

= 13 × 10

= 130

So, (f ⋅ g)(4) = 130.

Learn more about the functions here:

brainly.com/question/12431044

#SPJ1

Answer:

x = 10, -4

Step-by-step explanation:

(x – 3)² = 49

x - 3 = √49

x - 3 = ± 7

x = 10, -4

Looking at options,  10 and -4 is the answer.

The symbols p,x, and s represent sample statistics.

- p (pronounced "p-hat") is the sample proportion. It is used to estimate the population proportion. It is computed as the number of successes in the sample divided by the sample size.

-x (pronounced "x-bar") is the sample mean. It is used to estimate the population mean. It is computed as the sum of all the values in the sample divided by the sample size.

- s is the sample standard deviation. It is used to estimate the population standard deviation. It measures how spread out the data is in the sample. It is computed as the square root of the sum of the squared deviations from the sample mean divided by the sample size minus one.

These sample statistics are used to make inferences about the corresponding population parameters, which are denoted by Greek letters such as μ (mu) for the population mean and σ (sigma) for the population standard deviation.

To learn more about variables population parameters refer below:

https://brainly.com/question/16787328

#SPJ11

Answer: 18 cents or $0.18

Step-by-step explanation: you divide 2.20/12

Answer:

simple do $2.20 divide by 12 and you will get your answer

Step-by-step explanation:

$.10

Based on the linear regression formula y = 1.3485x + 840.51, you can calculate the monthly rental price (y) for a one-bedroom apartment by plugging in the square footage (x) of the apartment.

The linear regression formula for the 15 similar one-bedroom apartments is y = 1.3485x + 840.51, where x represents the square footage and y represents the monthly rental price. This means that for every square foot increase in the apartment size, the monthly rental price is predicted to increase by $1.35.

The y-intercept of the formula is $840.51, which represents the predicted monthly rental price for an apartment with 0 square footage (this is not possible in reality, but is used in the formula for mathematical purposes). To get the rental price, round your answer to the nearest whole number. For example, if an apartment has 500 square feet, you'd calculate: y = 1.3485(500) + 840.51 ≈ 1344.76, which rounds to $1,345 as the monthly rental price.

More on linear regression: https://brainly.com/question/29665935

#SPJ11

The mean amount of snow per day is equal to 19 cm snow per day.

In Mathematics and Geometry, the mean for this set of data can be calculated by using the following formula:

Mean = [F(x)]/n

For the total amount of snow based on the frequency, we have;

Total amount of snow (s cm), F(x) = 5(8) + 15(10) + 25(7) + 35(2) + 45(3)

Total amount of snow (s cm), F(x) = 40 + 150 + 175 + 70 + 135

Total amount of snow (s cm), F(x) = 570

Now, we can calculate the mean amount of snow as follows;

Mean = 570/30

Mean = 19 cm snow per day.

Read more on mean here: brainly.com/question/9550536

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

where are the statements

Answer:

-1 1/5

Step-by-step explanation:

-9+7 4/5

Answer:

\( m\angle A = 133\degree \)

Step-by-step explanation:

Quadrilateral ABCD is inscribed In a circle.

So, ABCD is a cyclic Quadrilateral.

Opposite angles of a cyclic quadrilateral are supplementary.

Therefore,

(4x + 5)° + (x + 15)° = 180°

(4x + 5 + x + 15)° = 180°

(5x + 20)° = 180°

5x + 20 = 180

5x = 180 - 20

5x = 160

x = 160/5

x = 32

\( m\angle A = (4x + 5)\degree \)

\( m\angle A = (4\times 32+ 5)\degree \)

\( m\angle A = (128+ 5)\degree \)

\( m\angle A = 133\degree \)

Answer:

12

Step-by-step explanation:

There are 8 one-eighths in one inch

You have 1.5 inches

This means to find the number of one eighths all you need to do is multiply 8 by 1.5 and your answer is 12.

There are 3/2 of 1/8ths  inch in 1 ½ inches.

To solve this problem, convert 1 ½ inches to a fraction with a denominator of 8 (since we are looking for the number of 1/8ths of an inch in 1 ½ inches).

Note: 1 inch is equal to 8/8 or 1 whole inch,

so 1 ½ inches is equal to:

1 ½ = 1 + ½ = 8/8 + 4/8 = 12/8

Thus, there are 12/8 of an inch in 1 ½ inches.

To simplify this fraction,  divide both the numerator and denominator by their greatest common factor, which is 4:

(12/4) / (8/4) = 3/2

Therefore, there are 3/2 of 1/8ths  inch in 1 ½ inches.

Learn more on inches on https://brainly.com/question/21386205

#SPJ6

Answer: 4:5

Step-by-step explanation: The lowest form

Answer:

Step-by-step explanation:

4:5

Hence, at the stage \(1,073,741,824\) it reached nearest to \(1,000,000,000\).

What is the circle?

A circle is a round-shaped figure that has no corners or edges.

In geometry, a circle can be defined as a closed, two-dimensional curved shape.

So, the calculation is:-

Now, Multiplying by \(2\)

\(2 * 2 = 4\)

\(4 * 2 = 8\)

\(8 * 2 = 16\)

\(16 * 2 = 32\)

\(32 * 2 = 64\)

\(64 * 2 = 128\)

\(128 * 2 = 256\)

\(256 * 2 = 512\)

\(512 * 2 = 1,024\)

\(1,024 * 2 = 2,048\)

\(2,048 * 2 = 4,096\)

\(4,096 * 2 = 8,192\)

\(8,192 * 2 = 16,384\)

\(16,384 * 2 = 32,768\)

\(32,768 * 2 = 65,536\)

\(65,536 * 2 = 131,072\)

\(131,072 * 2 = 262,144\)

\(262,144 * 2 = 524,288\)

\(524,288 * 2 = 1,048,576\)

\(1,048,576 * 2 = 2,097,152\)

\(2,097,152 * 2 = 4,194,304\)

\(4,194,304 * 2 = 8,388,608\)

\(8,388,608 * 2 = 16,777,216\)

\(16,777,216 * 2 = 33,554,432\)

\(33,554,432 * 2 = 67,108,864\)

\(67,108,864*2 = 134,217,728\)

\(134,217,728* 2 = 268,435,456\)

\(268,435,456 * 2 = 536,870,912\)

\(536,870,912* 2 = 1,073,741,824\)

Hence, at the stage \(1,073,741,824\) it reached nearest to \(1,000,000,000\).

To know more about the circle

https://brainly.com/question/266951

#SPJ2

Answer:

3 m

Step-by-step explanation:

The distance between the point O and l; this is the distance of the midpoint ;

Distance between A and l = 10m

Distance between B and l = 4 m

Difference between. Al and Bl divided by 2:

(10m - 4m) / 2

= 6m /2

= 3m

Answer:

i think it is b but i am not 100%

sorry if i am wrong

Step-by-step explanation:

In the given research design, there are three independent variables. The notation "2x2x4" represents the number of levels or conditions for each independent variable.

The first independent variable has two levels (2x), the second independent variable has two levels (2x), and the third independent variable has four levels (4). Each independent variable is manipulated or varied independently of the others in order to examine their effects on the dependent variable(s). Therefore, there are three independent variables in this 2x2x4 research design.

Know more about research design here:

https://brainly.com/question/30156874

#SPJ11

Answer:

Step 1: Locate and underline the whole numbers place (2) then look at the digit to the right (6):

2.6

Step 2: In this case, the digit to the right (6) is 5 or above. So, we add 1 to the whole numbers place (2). The digit(s) after the (2) are replaced by zeros (or dropped). Thus, we get 3 as the answer.

In short: 2.6 rounded to the nearest whole number is 3.