the larger the sample size, the better will be the normal approximation to the sampling distribution of sample mean.

The null hypothesis (H0) when testing for normality is:

H0 states that the values are sampled from a population that follows a normal distribution.

When testing for normality, the null hypothesis (H0) assumes that the data in the sample is derived from a population that follows a normal distribution. In other words, it assumes that the underlying population from which the sample is taken is normally distributed.

The purpose of testing for normality is to assess whether the data deviates significantly from a normal distribution. By assuming the null hypothesis, we aim to determine whether there is enough evidence to reject it and conclude that the data does not follow a normal distribution.

The other statements provided in the answer choices are not directly related to the null hypothesis when testing for normality. Statements such as "there is not statistically significant difference between two samples" or "if the data is normal, we can be certain that the data in different samples are similar" are not specific to testing for normality.

The null hypothesis (H0) when testing for normality states that the values are sampled from a population that follows a normal distribution. This hypothesis is tested using various statistical tests and techniques to assess the normality assumption of the data.

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Answer:

b

Step-by-step explanation:

cut it in half, boom equal

Answer:

b

Step-by-step explanation:

Answer: 113.04 ft

Step-by-step explanation:

C = 2πrC = 2x18x3.14

C=113.04

Answer: 4 brothers and 3 sisters for a total of 7 siblings

Step-by-step explanation:

Let No. of boys = x

Let No. of girls = y

Each boy has as many brothers as sisters

Hence, (x - 1) = y

Rearranging we get,

x - y = 1 ……….(1)

Now, each girl has twice as many brothers as that of sisters

Hence, 2 * (y - 1) = x

Solving the bracket we get, 2y - 2 = x

Rearranging we get,

-x + 2y = 2 ……….(2)

Adding (1) and (2) using the elimination method, we get

x - y = 1

-x + 2y = 2

y = 3

Substituting value of Y in equation (1),

x - 3 = 1

Solving this we get,

x = 4

Thus, No. of Boys = 4, No. of Girls = 3 and No. of Siblings in the family = 7

Answer:

105ft

Step-by-step explanation:

58-30+75=105 ft

The square root of -1 is the definition of i. A square root is squared to eliminate the two and leave the original number.

Given that,

We have to find why i squared is equal to negative 1.

We know that,

The imaginary numbers are denoted as i.

We occasionally obtained negative integers in equations when using the radican (square root) symbol to solve them. When they realized this, some would halt and respond, "no actual solution," which is technically accurate. We can further simplify radicals by using the imaginary number I which is the square root of real numbers. We occasionally even manage to get rid of the fictitious element, which provides us with actual solutions.

The square root of -1 is the definition of i. A square root is squared to eliminate the two and leave the original number.

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Answer:

I believe it is 14:16

Step-by-step explanation:

Because the ratio of apples to oranges is 14 to 16.

The final answer is:

∫e^x / (3 + 2e^x) dx = (1/2)ln|3 + 2e^x| + C

To evaluate the integral:

∫e^x / (3 + 2e^x) dx

We can start by making a substitution:

Let u = 3 + 2e^x

Then du/dx = 2e^x, or equivalently:

(1/2)du = e^x dx

Using this substitution, we can rewrite the integral as:

∫(e^x / u)(1/2)du

Next, we can pull out the constant factor of (1/2):

(1/2)∫(e^x / u)du

Now, we can integrate with respect to u, treating e^x as a constant:

(1/2)ln|u| + C

Substituting back in for u, using the original substitution, we get:

(1/2)ln|3 + 2e^x| + C

Therefore, the final answer is:

∫e^x / (3 + 2e^x) dx = (1/2)ln|3 + 2e^x| + C

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Answer:

\(x=\{0,\frac{\pi}{2},\pi,\frac{3\pi}{2}\}\)

Step-by-step explanation:

Trigonometric Equations

Solve

\(3\sin 2x=0\)

for x in [0,2π].

Dividing by 3:

\(\sin 2x=0\)

Solving for 2x by using the inverse sine function:

\(2x=\arcsin (0)\)

There are two angles in the first turn of the trigonometric circle whose sine is 0:

2x=0

2x=π

Dividing by 2, we get the first two solutions:

x = 0

\(x=\frac{\pi}{2}\)

Since the argument of the sine is double, we look for solutions in the next turn of the circle, that is:

\(2x=2\pi\)

\(2x=3\pi\)

Again, dividing by 2:

\(x=\pi\)

\(x=\frac{3\pi}{2}\)

No more solutions can be found, thus the solutions are:

\(\mathbf{x=\{0,\frac{\pi}{2},\pi,\frac{3\pi}{2}\}}\)

Answer:

\(h^{-1}\) (x) = 5 - 3x

Step-by-step explanation:

let h(x) = y and rearrange making x the subject

y = - \(\frac{1}{3}\) x - \(\frac{5}{3}\) ( multiply through by 3 to clear the fractions )

3y = - x - 5 ( add 5 to both sides )

3y + 5 = - x ( multiply through by - 1 )

- 3y - 5 = x

change y back into terms of x with x = \(h^{-1}\) (x) , that is

\(h^{-1}\) (x) = - 3x - 5

The solution to the system of equations y = 1.5x - 4 and y = -x  is (1.6,-1.6). The correct answer is D.

The solution to the system of equations can be calculate as follows

From the question we can conclude that the equations are :

y = 1.5x - 4

y = -x

to find the value of x and y  we can substitute y = -x in the first equation so it became

-x = 1.5x - 4

-1.5x - x = -4

-2.5x = -4

x = 1.6

after we found the value of x we can find the value of y by Substitute

x = 1.6 in y = -x

y = -1.6

Therefore, the solution to the y = 1.5x - 4 and y = -x  is (1.6,-1.6).

Your question is incomplete but most probably your full question was

What is the solution to the system of equations y = 1.5x – 4 y = –x

a.(–1.6, 1.6)

b.(–1.5, 1.5)

c. (1.5, –1.5)

d. (1.6, –1.6)

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Answer:

Regular Polygons

Polygons can also be classified as equilateral, equiangular, or both. Equilateral polygons have congruent sides, like a rhombus. Equiangular polygons have congruent interior angles, like a rectangle. When a polygon is both equilateral and equiangular, it is called a regular polygon.

Answer:

Equilateral = all sides are the same length

Equiangular = all angles are the same length

Step-by-step explanation:

Answer:

pink

Step-by-step explanation:

,pink is the only logical option

Answer: The fact of being correct and without any mistakes:

Step-by-step explanation: Hope this helps!

Answer:

option A

Step-by-step explanation:

There's no data provided in the graph. We can interpret from the options provided .

All these matches with option a . Hence option A is correct .

\(\implies y = -2x^2 + 8x + 7 \)

Answer:( -8,-3)

Step-by-step explanation:Rewrite in vertex form and use this form to find the vertex  

( h , k )

Answer:

its a (-8, -3)

Step-by-step explanation:

it just is

The final temperature of the mixture, assuming no heat loss to the surroundings, is 312.47 K.

To calculate the final temperature of the mixture, we can use the principle of energy conservation, assuming no heat loss to the surroundings. The equation used is:

\(m_{1}\)\(c_{1}\)(\(T_{f}\)  - \(T_{1}\) ) = \(m_{2}\)\(c_{2}\) (\(T_{2}\) - \(T_{f}\) )

Where:

\(m_{1}\) = mass of the first sample (31.0 g)

\(c_{1}\) = specific heat capacity of water (4.18 J/g·K)

\(T_{1}\) = initial temperature of the first sample (285 K)

\(T_{f}\) = final temperature of the mixture (unknown)

\(m_{2}\) = mass of the second sample (47.0 g)

\(c_{2}\) = specific heat capacity of water (4.18 J/g·K)

\(T_{2}\) = initial temperature of the second sample (340 K)

Plugging in the values:

31.0* 4.18* (\(T_{f}\) - 285) = 47.0*4.18*(340 - \(T_{f}\) )

Now we can solve this equation for \(T_{f}\) :

31.0 * 4.18 * \(T_{f}\) - 31.0 * 4.18 * 285 = 47.0 * 4.18 * 340 - 47.0 * 4.18 * \(T_{f}\)

125.98 * \(T_{f}\) - 35793 = 65231.6 - 197.26 * \(T_{f}\)

323.24 * \(T_{f}\)  = 101024.6

\(T_{f}\)  = 312.47 K

Therefore, the final temperature of the mixture, assuming no heat loss to the surroundings, is approximately 312.47 K.

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Answer:

200 feet

Step-by-step explanation:

Step-by-step explanation:

sjjJNznnNznznmzmznmzmzmznmx

Answer:

57 i think

Step-by-step explanation:

I believe that it will be 57 since there isn't a big of a difference to make up for thousands

Answer:

-20 meters below sea level

Step-by-step explanation:

as we know 0 is the water level, and since +20 is 20m above sea level, -20 is 20 m below sea level

Answer:

The answer would be -7/12

Step-by-step explanation:

Use math.way itll help you tremendously :)

Answer:

-3<x<5

Step-by-step explanation:

Given the inequality 2x-3<7 and 5-x<8

Solve 2x-3<7

Add 3 to both sides

2x-3+3 < 7+3

2x < 10

2x/2 < 10/2

x < 5

Solve 5-x<8

subtract 5 from both sides:

5-x-5<8-5

-x < 3

multiply both sides  by -1

-(-x) > -3

x > -3

-3<x

Combine both solutions x < 5 and -3<x

-3<x<5

The solution to the compound inequality is -3<x<5

Step-by-step explanation:

\( {x}^{2} = \frac{mn + 1}{9} \)

\((3x - 1)(3x + 1)\)

\(9 {x}^{2} - 1\)

\( {x}^{2} = \frac{9 {x}^{2 } - 1 + 1 } {9} \)

\( {x}^{2} = \frac{9 {x}^{2} }{9} \)

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

So this identity is true.

The basic unit of mass of the ball in the metric system is the gram.

The base units of length (distance), capacity (volume), and weight (mass) in the metric system are the meter, liter, and gram, respectively. We utilize units that are derived from metric units to measure smaller or greater quantities.

Mass is a physical body's total amount of matter. Inertia, or the body's resistance to acceleration when a net force is applied, is also measured by this term. The strength of an object's gravitational pull to other bodies is also influenced by its mass.

Therefore, the basic unit of mass of the ball in the metric system is the gram.

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f(x) = (x + 2)²    ⇒   f(x) = (x - (-2))² + 0    ⇒   h = -2 ,   k = 0

vertex:   (-2, 0)

domain:    R  

range:   <0, ∞)

axis of symetery:  x = -2

up   {a=1>0}

min:  f(-2) = 0

graph:  {f(0)=4}

The income i of a computer analyst varies directly as the number of hours h worked. if the analyst earns 384 for working 8 h, therefore, analy income is i = 48 × h.

To find out how much the computer analyst will earn for a given number of hours worked, we can use the concept of direct variation. The question states that the income (i) varies directly as the number of hours (h) worked.

1. First, let's find the constant of variation (k) using the given information:

i = k × h.

2. We are given that the analyst earns 384 for working 8 hours, so we can plug these values into our equation:

384 = k × 8.

3. Solve for k:

k = 384 / 8 = 48.

Now we have the constant of variation (k = 48). We can use this to determine the analyst's income for any number of hours worked.

4. To find the analyst's income for a given number of hours, use the equation

i = 48 × h.

5. Plug in the desired number of hours (h) into the equation to find the corresponding income (i).

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After adding the numbers from 1 to 10, we get the result as 55.

We are given the numbers from 1 to 10

We need to find the sum of the numbers.

Adding these numbers, we will get that:

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10

= 3 + 7 + 11 + 15 + 19

= 10 + 26 + 19

= 29 + 26

= 55

Therefore, we get that, after adding the numbers from 1 to 10, we get the result as 55.

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Answer:

1/6p + 1/5

Step-by-step explanation:

Hope this helps! Pls give brainliest!

=================================================

Explanation:

Sine is given to be negative, and so is tangent. This only happens in quadrant Q4

Recall that y = sin(theta), so if sin(theta) < 0, then we're below the x axis.

If tan(theta) < 0, then this means cos(theta) > 0

So we have y < 0 and x > 0 which places the angle somewhere in Q4.

--------------------------

Draw a right triangle as shown below in the attached image. We have AC = 25 and BC = 7. Use the pythagorean theorem to find that AB = 24

So this is what your steps may look like

a^2+b^2 = c^2

7^2+b^2 = 25^2

b^2+49 = 625

b^2 = 625-49

b^2 = 576

b = sqrt(576)

b = 24

So because AB = 24, we know that the cosine of the angle is adjacent/hypotenuse = 24/25

---------------------------

As an alternative, you could use the trig identity

sin^2(x) + cos^2(x) = 1

and plug in the given value of sine to solve for cosine. The cosine value result will be positive since we're in Q4.

So,

sin^2(x) + cos^2(x) = 1

(-7/25)^2 + cos^2(x) = 1

(49/625) + cos^2(x) = 1

cos^2(x) = 1 - (49/625)

cos^2(x) = (625/625) - (49/625)

cos^2(x) = (625-49)/625

cos^2(x) = 576/625

cos(x) = sqrt(576/625)

cos(x) = sqrt(576)/sqrt(625)

cos(x) = 24/25

This is effectively a rephrasing of the previous section since the pythagorean trig identity is more or less the pythagorean theorem (just in a trig form)