Choose an integer randomly from the set . Square it, then subtract 1. What is the probability that the resulting value is a prime number

The predicted score of a movie will be 0.17225 points

The correct option is (b).

Given,

The regression equation y  = 0.145x + 0.136

where x represents the budget of a movie (in millions of dollars).

To find the what is the predicted score of a movie that has a $250,000

budget?

Now, According to the question:

The regression equation is:

y = 0.145x + 0.136

x = 0.25 millions

Substitute the value of x in above regression equation:

y = 0.145 x 0.25 + 0.136

y = 0.17225 points.

Hence, The predicted score of a movie will be 0.17225 points

The correct option is (b).

Learn more about Regression equation at:

https://brainly.com/question/14184702

#SPJ1

Answer:

i just did the test, the person above me is correct.

Step-by-step explanation:

To determine if there's an interaction effect between diet and a home yoga program on change in weight, the most appropriate analysis would be a 2-Way ANOVA.

Here's a step-by-step explanation:
You have two independent variables: diet and home yoga program. Since you want to examine the interaction effect between these two variables, a 2-Way ANOVA is suitable, as it allows you to analyze the main effects of each independent variable and their interaction effect on the dependent variable (change in weight).
Collect data on participants' diet, home yoga program participation, and changes in weight.
Set up a 2-Way ANOVA model with diet and home yoga program as the independent variables and change in weight as the dependent variable.
Run the 2-Way ANOVA analysis to obtain the main effects of diet, the main effects of the home yoga program, and the interaction effect between diet and home yoga program on change in weight.
Analyze the results: If the interaction effect is significant, it suggests that the combination of diet and home yoga program has a unique impact on change in weight that is different from the individual effects of diet and home yoga program alone.

Remember, a 1-Way ANOVA is used when you have only one independent variable, an Independent T-Test compares the means of two independent groups, and a 3-Way ANOVA is used when you have three independent variables. In this case, since you have two independent variables (diet and home yoga program) and you're interested in their interaction effect, a 2-Way ANOVA is the most appropriate analysis.

for more questions on 2-Way ANOVA

https://brainly.com/question/27010728

#SPJ11

The tarp bought by Amiron, which has dimensions of 2 2/3' x 2 1/4', may not be big enough to cover the area under his tent, which has an area of 5 ft².

To determine if the tarp is big enough to cover the area under Amiron's tent, we need to compare the dimensions of the tarp to the area of the tent.

The area of the tarp can be calculated by multiplying its length and width. In this case, the tarp has dimensions of 2 2/3' x 2 1/4'. Converting these mixed numbers to improper fractions, we have 8/3' x 9/4'. Multiplying these fractions gives us an area of (8/3) x (9/4) = 72/12 = 6 ft².

Comparing the area of the tarp (6 ft²) to the area of the tent (5 ft²), we can see that the tarp is larger than the tent. Therefore, the tarp is big enough to cover the area under Amiron's tent.

It is important to note that it's ideal to have a tarp that is larger than the area to be covered, as it provides better coverage and protection. In this case, the tarp is larger than the tent, which should be sufficient for covering the area underneath.

Learn more about improper fractions here:

https://brainly.com/question/21449807

#SPJ11

The range for the minimum value of k for a decision tree will 25.

The range for the minimum value of k for a decision tree used to classify a large dataset of 50 million objects depends on the structure of the tree. The average number of comparisons depends on the number of levels and the branching factor at each of those levels.

If the tree is a balanced binary tree then the minimum value of k would be log2(50 million), which is approximately equal to 25. However, if the tree is unbalanced then the minimum value of k would be much lower. In such cases, the minimum value of k would be equal to the number of levels in the tree.

Therefore, the range for the minimum value of k would be between 1 and 25.

For more questions like Decision tree click the link below:

https://brainly.com/question/13084380

#SPJ4

If this experiment was performed many times you would expect an average of 5 heads.

The bar graph attached shows us the theoretical probability of getting a given number heads in ten flips of a fair coin.

From graph it is clear that;

Probability of of 0 & 10 head  are equal so average 5 heads

Probability of of 1 & 9 head  are equal  so average 5 Heads

Probability of of 2 & 8 head  are equal so average 5 heads

Probability of of 3 & 7 head  are equal  so average 5 Heads

Probability of of 4 & 6 head  are equal  so average 5 Heads

Probability of 5 will contribute to 5 heads only

Read more about Bar Graphs at; https://brainly.com/question/24741444

#SPJ1

Answer:

hi there

17 and 18

17 times 17 equals 289

18 times 18 equals 324

Step-by-step explanation:

pls rate me the brainiest

A finite group is a group that has a finite number of elements. Now, let us define the center of a group. The center of a group, denoted by Z(G), is the set of all elements in G that commute with every element in G.

Now, we need to prove that if g is a finite group, the index of Z(g) cannot be prime. We can prove this using contradiction. Suppose the index of Z(g) is prime. Let this prime be denoted by p. This means that the number of distinct left cosets of Z(g) in g is p. Therefore, we can write:

|g/Z(g)| = p

where |g/Z(g)| represents the number of distinct left cosets of Z(g) in g.

Now, we can use the fact that the number of left cosets of a subgroup in a group is equal to the index of that subgroup in the group. Therefore, we can rewrite the above equation as:

|g|/|Z(g)| = p

Multiplying both sides by |Z(g)|, we get:

|g| = p|Z(g)|

Since p is a prime number, it can only be divided by 1 and itself. Therefore, the only possible divisors of p|Z(g)| are 1, p, and |Z(g)|.

Now, since |g| is finite, we know that |Z(g)| cannot be infinite. Therefore, the only possible values for |Z(g)| are positive integers that divide |g|. However, since p is a prime number, |Z(g)| cannot be equal to p. This means that the only possible values for |Z(g)| are 1 and |g|.

If |Z(g)| = 1, this means that Z(g) only contains the identity element. Therefore, g does not have any non-identity elements that commute with every other element in g. This is not possible since every group has at least one element that commutes with every other element in the group - the identity element.

If |Z(g)| = |g|, this means that every element in g commutes with every other element in g. This implies that g is an abelian group. However, this contradicts the fact that g is a finite group that is not abelian.

Therefore, we have reached a contradiction in both cases. This means that our assumption that the index of Z(g) is prime is false. Therefore, if g is a finite group, the index of Z(g) cannot be prime.

Learn more about  finite group here:

https://brainly.com/question/29732670

#SPJ11

we have

f(x)=6x+2

g(x)=-5x-9

Find out the product

so

f(x)*g(x)=(6x+2)*(-5x-9)

Applying distributive property

f(x)*g(x)=(6x)*(-5x)+(6x)*(-9)+(2)*(-5x)+(2)*(-9)

f(x)*g(x)=-30x^2-54x-10x-18

combine like terms

f(x)*g(x)=-30x^2-64x-18

Answer:

A bank deposit paying simple interest at the rate of 6%/year grew to a sum of $1300 in 8 months. Find the …

Step-by-step explanation:

The quotient of the expression -6x²y + 12x² + 15zy - 15 divided by -3 is 2x²y - 4x² - 5zy + 5

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

quotient of  -62"y' + 12x2? 15zy - 15 divided by -3

Express properly

So, we have

-6x²y + 12x² + 15zy - 15 divided by -3

To solve this question, we simply divide each term of the expression by -3

So, we have the following representation

(-6x²y + 12x² + 15zy - 15)/-3

Evaluate the quotient

2x²y - 4x² - 5zy + 5

Hence, the solution is 2x²y - 4x² - 5zy + 5

Read more about quotient at

brainly.com/question/25289437

#SPJ1

Answer:

multiplication

Step-by-step explanation:

brianna=4

gabi=8 x brianna

hAnswer:hi man don;t know anyting

Step-by-step explanation:

Answer:

(-1,3)

Step-by-step explanation:

3x + 6y  =  15

6x + 6y =  12                   Subtract

-3x        = 3                     Divide by 3

-x = 1                               multiply by - 1

x =  - 1

3x + 6y = 15

3(-1) + 6y = 15

-3 + 6y = 15             Add 3 to both sides

-3+3 + 6y = 15 + 3

6y = 18                    Divide by 6

y = 18/6

y = 3

(-1,3)

Answer:

3

Step-by-step explanation:

5-2=3

Just do it the other way to find the answer!

I hope this helps!

Answer: x = 3

Step-by-step explanation:

we subtract 2 from both sides, in order to get the variable by itself.

x + 2 (- 2) = 5 (- 2)

x = 3

By using Pythagorean identities the expression can be written as

         -8 (sin ( x ) + 1 -sin 2x)

The Pythagorean identity is an important identity in trigonometry derived from the Pythagorean theorem. These identities are used to solve many trigonometric problems where, given a trigonometric ratio, other ratios can be found. The basic Pythagorean identity, which gives the relationship between sin and cos, is the most commonly used Pythagorean identity:

sin2θ + cos2θ = 1 (gives the relationship between sin and cos)

There are two other Pythagorean identities as follows :

sec2θ - tan2θ = 1 (gives the relationship between sec and tan)

csc2θ - cot2θ = 1 (gives the relationship between csc and cot)

Given expression is:

-8tanx/ 1 +tan2x

we know that:

By the Pythagorean Theorem:

1 + tan²x = sec²x

and tan x = sin x/cos x

and, sec x = 1/cos x

Now, we can write as:

   -8tanx / 1 +tan²x

= -8 tan x / sec²x

= -8 sin x /cos x ÷ 1/cos²x

= -8 sin x/cos x × cos²x/1

= -8 (sin ( x ) + 1 -sin 2x)

Complete Question:

Use appropriate identities to rewrite the following expression in terms containing only first powers of sine:

−8tan 1 + tan2x.

Learn more about Pythagorean identities

https://brainly.com/question/10285501

#SPJ4

An internal firewall sits at the boundary between the corporate site and the internet. This statement is False.

A firewall is a security system designed to protect computer networks from unauthorized access. Firewalls are hardware, software, or a combination of both that act as a shield between an organization's internal network and the outside internet or other untrusted networks. It can also be used to separate an internal network from other internal networks.

Internal firewalls are utilized to improve an organization's security posture by segregating sensitive systems or networks from less sensitive systems. For example, one of the internal firewalls may be used to separate the accounting department's systems from the systems used by other departments to ensure that accounting information is only accessible by authorized individuals.

The statement that an internal firewall sits at the boundary between the corporate site and the internet is not true as it refers to an external firewall. The internal firewall is used to separate sensitive systems and networks from less sensitive ones, which helps to enhance the security of an organization.

Learn more about internal firewall :

brainly.com/question/32357492

#SPJ11

Answer:

It is a tetrahedron.

The higher the potential for loss, the higher the premium. The higher the deductible, the lower the premium.

In case of insurance, the insurer guarantees the insured to pay compensation in a situation of loss, damage or injury. There are many types of insurance- health, life, automobile, etc.

In exchange for the guarantee, the insured has to pay the insurer a premium. The premium amount depends on the risk involved. An insurance policy with greater risk, or greater potential for loss, demands a higher premium and vice versa.

Deductible is the amount paid by the insured before he receives the guaranteed amount from the insurer. Thus, the higher the deductible, the lower is the premium.

Therefore, the higher the potential for loss, the higher the premium. The higher the deductible, the lower the premium.

Learn more about risk premium here-

https://brainly.com/question/28523321

#SPJ4

To calculate the gain on the sale of the office furniture, we need to determine the asset's book value and compare it to the sale price.

First, let's calculate the accumulated depreciation on the furniture. The furniture was purchased on January 1, 2014, and the straight-line depreciation method is used over 10 years with a salvage value of $80,200.

Depreciation per year = (Cost - Salvage Value) / Useful Life

Depreciation per year = ($746,800 - $80,200) / 10 years

Depreciation per year = $66,160

Next, we need to calculate the accumulated depreciation for the period from January 1, 2014, to May 1, 2021 (the date of the sale). This is approximately 7.33 years.

Accumulated Depreciation = Depreciation per year × Years

Accumulated Depreciation = $66,160 × 7.33 years

Accumulated Depreciation = $484,444.80

Now, we can calculate the book value of the furniture:

Book Value = Cost - Accumulated Depreciation

Book Value = $746,800 - $484,444.80

Book Value = $262,355.20

Finally, we can calculate the gain on the sale:

Gain on Sale = Sale Price - Book Value

Gain on Sale = $300,000 - $262,355.20

Gain on Sale = $37,644.80

Therefore, the gain that should be recognized on the sale of the office furniture is approximately $37,644.80.

To know more about depreciation, refer here:

https://brainly.com/question/30531944

#SPJ11

The gain that should be recognized on the sale of the office furniture is $84,080.

The gain is calculated by subtracting the equipment's book value from the sale price. This gain will be reported on the company's income statement. Here is how to calculate the gain:First, find the equipment's book value using the straight-line method of depreciation.

Straight-line depreciation is calculated by taking the difference between the equipment's original cost and its salvage value, and then dividing it by the number of years the equipment is used. The annual depreciation expense is then multiplied by the number of years the equipment is used to find the equipment's book value at the end of its useful life.

For this question, the book value of the equipment at the time of sale is:Cost of equipment: $746,800Salvage value: $80,200Depreciable cost: $746,800 - $80,200 = $666,600Annual depreciation: $666,600 ÷ 10 years = $66,660Book value at the end of 2020: $666,600 - ($66,660 x 7) = $156,420

Next, subtract the equipment's book value from the sale price to find the gain:Sale price: $300,000Book value: $156,420Gain: $143,580Finally, round the gain to the nearest dollar:$143,580 ≈ $143,580.00So the gain that should be recognized on the sale of the office furniture is $84,080.

learn more about gain here:

https://brainly.com/question/31218742

#SPJ11

Given: Jamal is x years old.

⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━

And, his mother is 28 years older than Jamal.

Then, age of Jamal's mother is = (x + 28)

⠀⠀⠀

⠀⠀⠀

\(:\implies\sf Jamal's\: uncle\:age = (Jamal's mother age)\\\\\\ :\implies\sf Jamal's\: uncle\:age = 2(x + 28)\\\\\\ :\implies{\underline{\boxed{\pmb{\frak{\purple{Jamal's\: uncle\:age = 2x + 56}}}}}}\:\bigstar\\\\\)

\(\therefore\:{\underline{\sf{Hence,\:the\:expression\:that\: represents\: Jamal's\: uncle \:age\:is\: {\pmb{2x + 36}}.}}}\)

Answer:

Points R(4,1) S(7,3) T(6,4) after translation

R(4-3, 1) S(7-3, 3) T(6-3, 4)

R'(1, 1) S'(4, 3) T'(3, 4)

Points R'(1, 1) S'(4, 3) T'(3, 4) after reflection

R''(1, -3) S''(4, -5) T''(3, -6)

Step-by-step explanation:

Answer:Step-by-step explanation:Points R(4,1) S(7,3) T(6,4) after translation R(4-3, 1) S(7-3, 3) T(6-3, 4) R'(1, 1) S'(4, 3) T'(3, 4) Points R'(1, 1) ...

Answer:

70x - 64

Step-by-step explanation:

Answer attached.....

Hope it helps:)

Answer:

Step-by-step explanation:

45 total hair bands

Answer:

The sum of 4 and a number

4+x

Divided by 2 is less than -6

4+x/2<-6

☆anvipatel77☆

•Expert•

Brainly Community Contributor

Answer:

The y intercept is 1/2

i.e. The starting height is 1/2

Step-by-step explanation:

Given

\(y =x + \frac{1}{2}\)

Required

Determine the y intercept --- Missing

At y intercept: \(x = 0\)

So:

\(y =x + \frac{1}{2}\)

Substitute \(x = 0\)

\(y = 0 + \frac{1}{2}\)

\(y = \frac{1}{2}\)

The y intercept is 1/2

Answer:

b. 22.2

Step-by-step explanation:

I put it as an equation.

3.2w=72

Then solved for w

3.2w/3.2=72/3.2

Simplify

22.5