Q. 2
Find the missing number 4, 5, 16, ?,
when average (mean) is 8 ?

As a general rule, if the sample is large, the difference between the groups is large, and the range of scores within a group is small, then the results are likely to be statistically significant.

Statistical significance refers to the likelihood that the results of a study are not due to chance. In order for results to be statistically significant, they need to meet certain criteria, such as a large sample size and a clear difference between groups. Additionally, the range of scores within each group should be small in order to increase the precision of the results. When these conditions are met, the results are more likely to be reliable and meaningful.

The concept of statistical significance is a crucial aspect of research in many different fields. It allows researchers to determine whether the results of a study are reliable and meaningful, or whether they are simply due to chance. In order for results to be statistically significant, they need to meet certain criteria.

One important factor is the sample size. A larger sample size is generally more representative of the population being studied, and it allows for more precise measurements of the variables being examined. This is because a larger sample size reduces the impact of random variation or "noise" in the data. As a result, larger sample sizes increase the likelihood of finding statistically significant differences between groups.

Another important factor is the difference between the groups being studied. If there is a large difference between the groups, it is more likely that the results will be statistically significant. For example, if we are comparing the effectiveness of two different medications, and one medication is much more effective than the other, we are more likely to find a statistically significant difference between the groups.

In addition, the range of scores within each group should be small in order to increase the precision of the results. This is because a smaller range reduces the impact of outliers or extreme scores, which can distort the results. When the range of scores is small, it is easier to detect differences between groups that are statistically significant.

To know more about range visit:

brainly.com/question/28135761

#SPJ11

Answer:

Also to help some of you out here’s the answer to question 6 !!

Question 6 : No apparent relationship exist between the side lengths of quadrilateral BCDE inscribed in circle A

Step-by-step explanation:

The area of the larger figure that is similar to the smaller one is: 28.2 m².

Where A and B represent the areas of two similar figures, and a and b are their corresponding side lengths, respectively, the formula that relates their areas and side lengths is:

Area of figure A / Area of figure B = a²/b².

Given that the two figures are similar as shown in the image above, find each of their respective side lengths if we are given the following:

Perimeter of smaller figure = 20 m

Area of smaller figure = 19.6 m²

Perimeter of larger figure = 34m

Area of larger figure = x

Therefore:

20/34 = a/b

Simplify:

10/17 = a/b.

Find the area (x) of the larger figure using the formula given above:

10²/12² = 19.6/x

100/144 = 19.6/x

100x = 2,822.4

x = 2,822.4/100

x ≈ 28.2 m²

Learn more about area of similar figures on:

https://brainly.com/question/17132861

#SPJ1

Answer:

Step-by-step explanation:

Combine like terms

7x^6

2x^5+5x^5= 7x^5

8x^3

-3x^2-6x^2= -9x^2

9x+2x= 11x

-5

Put back into order

7x^6+7x^5+8x^3-9x^2+11x-5

Answer:

New cost of Boots is $108.98

Step-by-step explanation:

Original Cost of boots : $99.99

Markup = 9%

New Cost of boots = ?

We will find 9% of $99.99 and add the answer in $99.99 to find new cost of boots.

Finding 9% of $99.99

\(=\frac{9}{100} \times 99.99\\= 8.99\)

New cost will be:

New cost of Boots= Original Cost of boots + Markup

New cost of Boots= 99.99 + 8.99

New cost of Boots= $108.98

So, New cost of Boots is $108.98

Answer:

6 inches

Step-by-step explanation:

1 inch = 2.54 cm.

 1 cm = 1/2.54 inches.

14 cm = 14/2.54

14 cm, when rounded to nearest inch, results in around 6 inches.

Answer:

128

Step-by-step explanation:

6 / 3 + 32 * 4 - 2.

We first calculate 6/3 and 32 * 4:

6 / 3 = 2

32 * 4  = 128

Our expression then becomes 2 + 128 - 2.

We can evaluate, getting 128.

Answer:

36

Step-by-step explanation:

6 ÷ 3 + 3^2 · 4 − 2

= 2 + 9 · 4 - 2

= 2 + 36 - 2

= 38 - 2

= 36

The commitment scheme for committing a single bit 0 or 1 is a bad commitment scheme.

Consider the following commitment scheme for committing a single bit 0 or 1: for 0, pick a random even element a (mod p) and commit a² (mod p). For 1, pick a random odd element and similarly commit its square. Let p be a big prime. To show that this is a bad commitment scheme, let's look at an example.

Suppose that p = 7 and the sender wants to send the value 1. Therefore, he chooses an odd number, say a = 3, and computes a² = 9 mod 7 = 2. Now he sends 2 to the receiver. The receiver has two possible options for guessing the number sent: 1 or 0. Let's assume that he guesses the number 0 and then he can choose any even number, say a = 2.

Now he computes a² = 4 mod 7. As 4 is the residue of an even number, it's impossible to distinguish between the values sent by the sender. Therefore, this is a bad commitment scheme.

learn more about commitment scheme here:

https://brainly.com/question/32646219

#SPJ11

This is not a good commitment scheme.

A good commitment scheme should satisfy two properties: hiding and binding. Hiding means that the committed value should be computationally infeasible to determine without the commitment opening. Binding means that once the commitment is opened, it should be computationally infeasible to change the committed value.

In the given commitment scheme, the committed value is the square of a randomly chosen even or odd element modulo p. However, this scheme is not secure because it does not satisfy the hiding property.

To see why the hiding property is not satisfied, consider the case when the committed value is 0. Since we commit the square of a randomly chosen even element, any square root of the committed value modulo p will reveal the committed value. In this case, finding the square root of a modulo p, where a is even, is straightforward and does not require excessive computation. Therefore, an attacker can easily determine the committed value without knowing the opening.

This lack of hiding makes the commitment scheme insecure because an adversary can guess the committed value by calculating the square root. Thus, an attacker can break the hiding property of the commitment scheme, rendering it ineffective for secure communications.

In summary, the given commitment scheme is not a good one as it fails to satisfy the hiding property. It is important to use a commitment scheme that provides both hiding and binding properties to ensure the security and integrity of the committed values.

To know more about commitment scheme, refer here:

https://brainly.com/question/32646219

#SPJ11

Answer:

\(3\)×\(10^{-10\)

Step-by-step explanation:

Expand all the numbers:

Find the biggest number:

The biggest number is the list is 0.0000000003 which is \(3\)×\(10^{-10\) which will be your answer!

Have a lovely day :)

Answer:

84

Step-by-step explanation:

1110 = 150 + (15 * 64)

150 is 20 cameras, so we get 64 + 20 = 84 cameras

Answer:

93 cameras

Step-by-step explanation:

it's actually 92.6666666667 but i rounded

Answer:

20

Step-by-step explanation:

To determine the number of 9s between 1 and 100, we can consider the numbers from 1 to 99 since we want to exclude 100.

In the range from 1 to 99, we can observe the following patterns:

There is one 9 in each of the units' places (9, 19, 29, ..., 89, 99), giving us 10 occurrences.

There is one 9 in each of the tens' places (90, 91, 92, ..., 99), giving us 10 occurrences.

Therefore, there are a total of 10 + 10 = 20 occurrences of the digit 9 between 1 and 100.

Answer:

(5, - 3 )

Step-by-step explanation:

the opposite to translation rule (- 5, 3 ) is

(5, - 3 ) ← the negative of each of the coordinate points

To find the normal cost, x, for an individual at the Yeti Trails Snow Park, an equation can be used based on the given information. The normal cost, x, for an individual at the Yeti Trails Snow Park is $12

Let's assume that the normal cost for an individual at the Yeti Trails Snow Park is x dollars. According to the information provided, the Yeti group package costs $54 for 6 people, which means each person in the group pays $54/6 = $9.

It is mentioned that the group package is $3 less per person than the normal cost for an individual. Therefore, we can set up the equation:

$9 = x - $3

To solve for x, we need to isolate the variable on one side of the equation. Adding $3 to both sides, we get:

$9 + $3 = x

Simplifying further:

$12 = x

So, the normal cost, x, for an individual at the Yeti Trails Snow Park is $12.

Learn more about variable here:

https://brainly.com/question/29583350

#SPJ11

Answer:

45°

Step-by-step explanation:

In a triangle there is 180°, which means that if there's 1 right angle that takes away 90° which means that you're left with 90° and since there are 2 angles left you divide 90° by 2 to get 45° which means that angle A is 45°.

A(x) = 12.85x + 53 where x is the number of hours that Maria worked in a week

B(x) = 7.55x + 143 where x is the number of hours that Sara worked in a week

we will change the "x" by "y" on the Sara's equation to make a difference with Maria's

So the equation for Sara would be:

B(y) = 7.55y + 143

If the add their earnings, that means we have to add A(x) and B(y)

Total earnings = A(x) + B(y) = (12.85x + 53) + (7.55y + 143)

Total earnings = 12.85x + 7.55y + 53 + 143

Total earnings = 12.85x + 7.55y + 196

So the answer is: 12.85x + 7.55y + 196

where x is the number of hours that Maria worked in a week

and y is the number of hours that Sara worked in a week

Answer:

1/8 of a pound

Step-by-step explanation:

(3/4) ÷ 6 = .125 = 1/8

Answer:

  f(f(n)) = -n^4 -8n^2 -20

Step-by-step explanation:

As with any function evaluation, you substitute the argument for the variable and simplify.

  \(f(f(n))=f(-n^2-4)=-(-n^2-4)^2-4\\\\=-(n^4+8n^2+16)-4\\\\\boxed{f(f(n))=-n^4-8n^2-20}\)

\(\\ \rm\hookrightarrow f(f(n))\)

\(\\ \rm\hookrightarrow f(-n^2-4)\)

\(\\ \rm\hookrightarrow -(-n^2-4)^2-4\)

\(\\ \rm\hookrightarrow -(n^4+8n^2+16)-4\)

\(\\ \rm\hookrightarrow -n^4-8n^2-16-4\)

\(\\ \rm\hookrightarrow -n^4-8n^2-20\)

The correct hypothesis for a one-sample z-test for a population proportion p for germination is p <0.9

A hypothesis is an informed estimate about the solution to a scientific issue that is supported by sound reasoning. It is the expected result of the trial, though it is not evidence in an experiment. Depending on the information collected, it might be supported or might not be allowed at all.

The material provided indicates that the following is the appropriate theories for a one-sample z-test for a population proportion where H0 is p = 0.9 and H1 <0.9. Thus, at the null hypothesis, it is tested if the germination rate is actually of 90%, that is H = 0.9 and at the alternative hypothesis, it is tested if the germination rate is of less than 90%, that is H1 <0.9.

Complete Question:

The germination rate is the rate at which plants begin to grow after the seed is planted. A seed company claims that the germination rate for their seeds is 90 percent. Concerned that the germination rate is actually less than 90 percent, a botanist obtained a random sample of seeds, of which only 80 percent germinated. What are the correct hypotheses for a one-sample z-test for a population proportion p ?.

Read more about hypothesis on:

https://brainly.com/question/25263462

#SPJ4

Answer:

Step-by-step explanation:

(4+7)(3)/2=16.5

Answer:

do you need help with anything if not hello

Step-by-step explanation:

a. The resultant magnetic field at point P due to currents in the two wires can be determined by vector addition of the individual magnetic fields.

b. Reversing the direction of currents in both wires would result in a reversed direction of the resultant magnetic field at point P.

a. To construct the vector diagram showing the direction of the resultant magnetic field at point P due to currents in the two wires, we can use the right-hand rule for determining the magnetic field direction around a wire carrying current.

For Wire 1, which has the current coming towards us (out of the plane of the paper), the magnetic field direction can be determined by wrapping the right-hand fingers around the wire in the direction of the current, and the thumb will point in the direction of the magnetic field. Let's say the direction of the magnetic field for Wire 1 is from left to right.

For Wire 2, which has the current going into the plane of the paper, we apply the right-hand rule again. Wrapping the right-hand fingers around the wire in the direction opposite to the current, the thumb will point in the direction of the magnetic field. Let's say the direction of the magnetic field for Wire 2 is from right to left.

At point P, which is equidistant from the two wires, the magnetic fields due to the currents in the wires will combine. The resultant magnetic field direction at point P can be found by vector addition. Drawing the vectors representing the magnetic fields for Wire 1 and Wire 2, with opposite directions, we can add them head-to-tail. The resultant vector will show the direction of the resultant magnetic field at point P.

b. If the currents in both wires were instead directed into the plane of the page (such that the current moved away from us), the directions of the magnetic fields due to the currents in the wires would be reversed compared to the previous case.

For Wire 1, the magnetic field direction would be from right to left, and for Wire 2, it would be from left to right. Following the same process as in part a, we would draw the vectors representing the magnetic fields for Wire 1 and Wire 2 in their respective reversed directions. Adding them head-to-tail would give us the resultant vector indicating the direction of the resultant magnetic field at point P in this scenario.

Complete Question:

Two wires lie perpendicular to the plane of the paper, and equal electric currents pass through the paper in the directions shown. Point P is equidistant from the two wires.

a. Construct a vector diagram showing the direction of the resultant magnetic field at point P due to currents in these two wires. Explain your reasoning.

b. If the currents in both wires were instead directed into the plane of the page (such that the current moved away from us), show the resultant magnetic field at point P.

To know more about magnetic field, refer here:

https://brainly.com/question/14848188

#SPJ4

Answer:

The answer is B 6.252

Step-by-step explanation:

The values of x are = 0, -2, -3

\(x^3 + 5x^2 + 6x = 0\)

\(x^3 + 5x^2 + (2 * 3)x = 0\)

\(x (\frac{x^3}{x} + \frac{5x^2}{x} + \frac{2*3x}{x}) = 0\)

\(x(x^{3-1} +5x^{2-1}+2*3) = 0\)

\(x(x^2+5x+6)=0\)

\(\left \{ {{x=0} \atop {x^2+5x+6=0}} \right.\)

\(\left \{ {{x=0} \atop {x(\frac{x^2}{x} + \frac{2x}{x}) + 3(\frac{3x}{3} + \frac{2*3}{3}) =0 }} \right\)

\(\left \{ {{x=0} \atop {x(x^{2-1} +2) + 3(x+2)=0}} \right.\)

\(\left \{ {{x=0} \atop {x(x+2)+3(x+2)=0}} \right.\)

\(\left \{ {{x=0} \atop {(x+2) (\frac{x(x+2)}{x+2}+ \frac{3(x+2)}{x+2})=0 } \right.\)

\(\left \{ {{x=0} \atop {(x+2) (x+3) =0}} \right.\)

\(\left \{ {{ x=0} \atop {x+2=0}} \atop {x+3=0}} \right.\\\\\)

\(\left \{ {{ x=0} \atop {(x+2) + (-2) = -2}} \atop {(x+3) + (-3)=-3}} \right.\\\\\)

\(\left \{ {{ x=0} \atop {x+2 -2 = -2}} \atop {x+3 -3 = -3}} \right.\\\\\)

\(\left \{ {{ x=0} \atop {x=-2}} \atop {x=-3}} \right.\\\\\)

\(x = (0, -2, -3)\)

Answer: The values of \(x=[0], [-2], [-3]\)

Answer:

\(d=0.364\ g/cm^3\)

Step-by-step explanation:

It is given that,

Mass of benzene, m = 0.1 L

Mass, m = 36.4 g

We know that, 1 L = 1000 cm³

0.1 L = 100 cm³

The density of an object is equal to its mass divided by its volume. So,

\(\rho=\dfrac{m}{V}\\\\=\dfrac{36.4\ g}{100\ cm^3}\\\\=0.364\ g/cm^3\)

So, the density of benzene is \(0.364\ g/cm^3\).

Answer: 50 to 140

Step-by-step explanation:

Answer:

range = 90

Step-by-step explanation:

the range is the difference between the maximum and minimum values of the data set.

the maximum value = 140 and minimum value = 50 , then

range = 140 - 50 = 90

At 2.5 and 5.4 seconds, the ball will be 213 feet from the ground

A function is defined as a relation between a set of inputs having one output each.

In simple words, a function is a relationship between inputs where each input is related to exactly one output.

Every function has a domain and codomain or range.

In this case, we simply input the value of s = 213 and solve the quadratic equation

s(t) = -16t² + 126t

So, we have

213 = -16t² + 126t

Collect the like terms

-16t² + 126t - 213 = 0

Using a graphing tool, we have

t = 5.4s and t = 2.5s

This means that the ball will be 213 ft from the ground at 5.4 seconds and 2.5 seconds

learn more on functions here;

https://brainly.com/question/6561461

#SPJ1