Help! it gives me two different answers!! Thanks

Answer:

8 sides.

Step-by-step explanation:

The sum of each of the interior and exterior angles = 180 degrees.

Therefore as the ratio is 1:3 the exterior angles are all = 1/4 * 180

= 45 degrees.

So the number of sides = 360/45 = 8.  ( As the sum of the exterior angles in all polygons = 360 degrees).

Answer:

$0.22.

Step-by-step explanation:

To find the cost per ounce of juice, divide the total cost of 32 ounces of juice by the number of ounces:

7.04 ÷ 32 ounces = 0.22 per ounce

So, the cost per ounce of juice is approximately $0.22.

Answer:

0.22

Step-by-step explanation:

The engineer's claim regarding the mean % enrichment not being equal to 2.95 can be evaluated using a hypothesis test at a 5% level of significance. Additionally, a 90% two-sided confidence interval can be calculated to estimate the mean percentage of enrichment

To test the engineer's claim, we can set up a hypothesis test. The null hypothesis (H0) assumes that the mean % enrichment is equal to 2.95, while the alternative hypothesis (Ha) assumes that the mean % enrichment is not equal to 2.95. By performing a t-test on the given data with a significance level of 5%, we can determine if there is enough evidence to reject the null hypothesis and support the engineer's claim.

To calculate a 90% two-sided confidence interval, we can use the formula for the confidence interval estimate based on the t-distribution. By plugging in the given data and calculating the margin of error, we can determine the range within which the true mean percentage of enrichment is likely to fall with 90% confidence.

Both the hypothesis test and the confidence interval provide statistical evidence and estimation about the mean % enrichment. The results of these analyses can help evaluate the engineer's claim and provide a range of values for the mean percentage of enrichment with a certain level of confidence.

Learn more about percentage here:

https://brainly.com/question/16797504

#SPJ11

Answer:

1m/s²

Step-by-step explanation:

Acceleration is the change in velocity of a body with respect to time.

Acceleration = Change in velocity/time

Acceleration (a) = final velocity(v)-initial velocity(u)/time(t)

Given parameters:

final velocity v = 4.4m/s

initial velocity u = 1.2m/s

time taken = 3.2s

Required

Acceleration

Substitute the given parameters into the formula to get the acceleration

Acceleration = 4.4 - 1.2/3.2

Acceleration = 3.2/3.2

Acceleration = 1m/s²

Therefore the boy acceleration is 1m/s²

A box plot has 5 data descriptions. The correct option is 87 and 132.

A box plot has 5 data descriptions.

Since each quartile of the box-and-whisker plot represents 25% of the data. Therefore, values between which there are 3 quartiles present will represent 75% of the data.

Hence, the correct option is 87 and 132.

Learn more about Box-plot:

https://brainly.com/question/1523909

#SPJ1

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

The equivalent expression is ~

\( \boxed{27 {x}^{2} }\)

\( \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}\)

Let's solve ~

Answer:

0.53

Step-by-step explanation:

The computation of the  probability that the person is from California, given that the person prefers brand A is shown below

= Brand A california ÷ Total brand A

= 90 ÷ 170

= 0.53

Hence the probability is 0.53

The last option is correct

The force that must be applied by the pulley system to lift the load is 228.02N.

When the pulley system lifts the load, the force is applied vertically upwards, so θ = 0, and cos(θ) = 1.

So, we can write the Work Done formula as :

⇒ Work = Force × Distance

The work done against gravity is equal to the change in potential energy of the load:

⇒ Work = Potential Energy = mgh

Where, "m" = mass of the load, g = acceleration due to gravity (9.81 m/s²), and "h" = height through which the load is lifted.

So, we can write:

⇒ Force × Distance = mgh

⇒ Force = mgh / Distance

In this case, the load has a weight of 900 N,

So its mass (m) is = (900 N)/(9.81 m/s²) = 91.75 kg

Substituting the given values in the Force formula,

We get,

Force = [(91.75 kg) × (9.81 m/s²) × (0.19 m)]/0.75 ≈ 228.02N

Therefore, a force of approximately 228N must be applied to the rope to lift the load.

Learn more about Force here

https://brainly.com/question/20354940

#SPJ4

Answer: 8x²+4x-4

Step-by-step explanation:

(f+g)(x) is f(x)+g(x). Since we are given f(x) and g(x), we can directly add them together.

3x²-2x+4+5x²+6x-8                                  [combine like terms]

8x²+4x-4

Answer:

that's my answer in mathematics hope it helps for you

A polynomial f(x) of degree 4 with real coefficients is P(x) = x³- 10x² + 36x - 40

A polynomial function is a mathematical expression that involves only non-negative integer powers or positive integer exponents of a variable in an equation.

Since 4 - 2i is a zero, 4 + 2i is also a zero.

Then by substitution, we have the following

x = 2, x = 4 - 2i, x = 4 + 2i

x - 2 = 0, x - 4 + 2i = 0, x - 4 - 2i = 0

P(x) = (x - 2)(x - 4 + 2i)(x - 4 - 2i)

P(x) = (x - 2)(x2 - 8x + 20)  

P(x) = x³- 10x² + 36x - 40

Therefore the polynomial function is P(x) = x³- 10x² + 36x - 40

Learn more about polynomial functions on https://brainly.com/question/11298461

#SPJ1

An o-algebra over a set X is a family of subsets of X that includes X and is closed under taking complements and countable unions. It is also known as a σ-algebra or a sigma-algebra. C is the correct answer. Hence, the correct option is C.

The given question is asking about a set X = R and an o-algebra A consisting of four sets, namely, {0, R, {1}, R\x}. Now, let's see which statement is true among the given options. a. A is a o-algebra over R for all x E R. This statement is not true. We can prove this by counterexample. If we take x = 0, then we have R\{x} = R\0 = R. Therefore, A would have three elements, {0, R, {1}}. However, A does not contain any countable unions of its subsets. For example, if we take an arbitrary subset of A, let's say, {0, R}, then its countable union would be {0, R}, which is not a subset of A. Hence, A is not a sigma-algebra over R for all x E R. b. A is not a o-algebra over R. This statement is not true as well. As we have seen above, A is an o-algebra over R for x = 1. c. A is a o-algebra over R for x = 1. This statement is true. If we take x = 1, then R\{x} = R\1 = {x ∈ R : x ≠ 1} = R∖{1}. Now, we can show that A is an o-algebra over R for x = 1 by verifying the following properties: A contains R: Clearly, R ∈ A. A is closed under taking complements: For any A1 ∈ A, we have four possibilities: If A1 = 0, then A1^c = R ∈ A. If A1 = R, then A1^c = 0 ∈ A. If A1 = {1}, then A1^c = R∖{1} ∈ A. If A1 = R∖{1}, then A1^c = {1} ∈ A. A is closed under countable unions: Let {Ai} be a countable collection of subsets of A. We need to show that their union belongs to A. If one of the Ai's is R, then the union is R ∈ A. Otherwise, let's say, Ai ≠ R for all i. Then, we have four cases: If there is an i such that Ai = 0, then the union is {0} ∈ A. If all Ai's are singletons, then their union is {1} ∈ A. If there is an i such that Ai = R∖{1}, then the union is R∖{1} ∈ A. Otherwise, all Ai's are either {1} or R\{1}, but not both. In that case, their union is either {1} or R∖{1}, which belongs to A. Therefore, A is a sigma-algebra over R for x = 1. d. None of the above. This option is not correct because c is the correct answer. Hence, the correct option is c.

Learn more about subsets here:

https://brainly.com/question/28705656

#SPJ11

Answer:

\(f(x) = 2x^2-3\)

Step-by-step explanation:

You are missing information, but the question gives enough information for me to figure it out.

That function shifted down three units is : \(f(x) = 2x^2-3\). If your answer choice is a function, choose this one. If it is a graph, please use a graphing calculator, desmos, or another graphing website to compare it with.

Equation: 80 - 6.75x = 19.25

Sandwiches: 9

(x=9)

The sizes could be used are 5 cm by 3 cm.

All sizes that have dimensions proportional to 6 cm by 10 cm can be used. This means that the ratio of the length to the width of the copies must be the same as the ratio of the length to the width of the original.

This ratio is 10/6 = 5/3.

For example, a size of 15 cm by 9 cm can be used because the ratio of length to width is 15/9 = 5/3, which is the same as the ratio of length to width of the original.

Similarly, a size of 12 cm by 8 cm can be used, and so on, as long as the ratio of the dimensions is 5/3.

Learn more about Ratio here:

https://brainly.com/question/13419413

#SPJ1

Answer:

55 degrees

Step-by-step explanation:

sum of all angles of a triangle equal 180

to find x we add them all and set them equal to 180

(57+x)+(72+x)+55=180

129+2x+55=180

184+2x=180

-184.    -184

2x= -4

/2.  /2

x=-2

now to find angle A

57+(-2)

55

hopes this helps

Answer:

the answer is C, 5a^6b

Step-by-step explanation:

The required distance of Cori from where he started is 35km.

Distance is a quantitative or qualitative measurement of the distance between two objects or places. Distance can refer to a physical length or an estimation based on other criteria in physics or everyday usage. Because spatial cognition is a rich source of conceptual metaphors in human thought, the term is also used metaphorically to mean a measurement of the amount of difference between two similar objects or a degree of separation. The concept of a metric space is used to codify most such conceptions of distance, both physical and metaphorical.

Given,

Cori races her friend heading south for 9 kilometers, east for 20 kilometers, then south for 6 more kilometers.

The distance of Cori from starting point=9+20+6

=15+20

=35

Hence, the required distance of Cori from where he started is 35km.

To know more about distance, visit:

https://brainly.com/question/15172156

#SPJ4

The most appropriate choice for Quadratic  equation will be given by -

Third option is correct

What is Quadratic equation?

At first it is important to know about equation

Equation shows the equality between two algebraic expressions by connecting the two algerbraic expressions by an equal to sign.

A two degree equation is known as Quadratic equation.

Here,

\(x^2 +2x=24\\x^2+2x-24=0\\x^2+6x-4x-24=0\\x(x+6)-4(x+6)=0\\(x+6)(x-4)=0\\\)

\(x+ 6 = 0\) or \(x - 4 = 0\)

x = -6 or x = 4

Third option is correct

To learn more about Quadratic equation, refer to the link:

https://brainly.com/question/1214333

#SPJ9

Answer:

The answer was obtained by first taking the measurement for the temperature drop, the duration of the temperature drop, and the rate at which the temperature is dropping which are -28 F, 4 hours, and dropping at a steady rate.

The measured temperature drop of -28 F, is then divided by the duration of the drop which is 4 hours, to get the amount the temperature drop each our as -28F/4 = -7 F per hour

Step-by-step explanation:

The rate at which the local meteorologist claims that the temperature is going to drop = Steady rate

The duration over which the local meteorologist states that the temperature is going to drop = 4 hours

The amount by which the temperature is observed to drop = -28F

The rate at which the temperature is observed to drop = The same amount each hour

Therefore, the temperature drop per hour = -28F/4 = -7 F per hour

Answer:

B.) The graph of g(x) is shifted 4 units up

Step-by-step explanation:

In a linear function in slope-intercept form, b, or 4 in this case, represents the y-intercept which technically acts as a vertical shift

The attached graph describes the relationship between the amount of money raised and the number of students who attend the dance

The parameters that will help us to determine the graph are

Decorations for the dance cost $80,

The club is charging $10 per student that attends

This forms a linear equation:

y = mx + b

y = 10x - 80

Plotting the graph:

That is the full solution of the equation

Learn more about the graphs on https://brainly.com/question/17267403

#SPJ1

1. The official lines of authority. 2. The formal lines of communication. 3. The base level of the organization.

Organizational structure box-and-lines diagrams show at least three things:

1. The official lines of authority: These diagrams illustrate the formal hierarchy within an organization, indicating the chain of command and reporting relationships. The lines represent the flow of authority and communication, highlighting who reports to whom. For example, a manager may have multiple employees reporting to them, and those employees may further have their own subordinates.

2. The formal lines of communication: These diagrams also depict the formal channels through which information flows within the organization. They show how information is passed between different levels and departments. For instance, a diagram may show that information flows vertically from top management to lower-level employees or horizontally between departments.

3. The base level of the organization: These diagrams display the entry-level positions within the organizational structure. This helps to understand the foundational roles that exist and how they fit into the larger structure. For instance, the diagram may indicate positions such as interns, junior associates, or entry-level staff.

In summary, organizational structure box-and-lines diagrams provide a visual representation of the official lines of authority, the formal lines of communication, and the base level of the organization. These diagrams help individuals understand the hierarchy, communication flow, and entry-level positions within an organization.

Know more about diagrams here,

https://brainly.com/question/13480242

#SPJ11

Using proportions, it is found that she needs 4 consecutive hits to raise her batting average to .400.

A proportion is a fraction of a total amount.

Hence, the batting average is given by the number of hits divided by the number of at-bats.

If she gets x consecutive hits, she will have 8 + x hits in 25 + x at-bats, for an average of 0.400, hence:

\(0.4 = \frac{8 + x}{25 + x}\)

8 + x = 10 + 0.4x

0.6x = 2

x = 3.33

Rounding up, she needs 4 consecutive hits to raise her batting average to .400.

More can be learned about proportions at https://brainly.com/question/24372153

Answer:

1942.5435 dollars

Step-by-step explanation:

1500(1.09)^t  (t=3)

1500(1.09)^3= 1942.5435 dollars

The null hypothesis is that there is no significant difference in the number of words remembered between the group that texted during the audio clip and the group that did not. The symbol "H0" represents the null hypothesis.

Based on the texting and concentration scenario, let's identify the null hypothesis and what "p" represents in it.
Null hypothesis (H0): There is no significant difference in the number of words remembered by students when they are texting versus when they are not texting during the audio clips. In other words, texting has no effect on concentration.

The null hypothesis is a statistical assumption that says there is no statistical significance in a group of observations. Hypothesis testing is used to test the reliability of a hypothesis using sample data. It is sometimes called "blank" and stands for H0. The null hypothesis, also known as the Conjecture is used in quantitative analysis to test a theory about business, investment, or the economy to determine whether the idea is true or false.

In this hypothesis, "p" represents the difference in the proportions of words remembered while texting and not texting. If p = 0, it means there is no difference in the students' concentration between the treatment (texting) and control (not texting) groups.

Learn more about the Null Hypothesis:

brainly.com/question/28920252

#SPJ11

Step-by-step explanation:

it is a right angled triangle therefore we will use hypotenuse formula to find out the value of x.

→ h² = a² + b²

Given,

hypotenuse = 12

base = 5

side = x

after inserting the values we got,

→ (12)² = a² + (5)²

→ 144 = a + 25

→ -a = 25 - 144

→ -a = -119

→ a² = √119 = 10.90 (approx.)

therefore, value of x is 10.90 (approx.)

hope this answer helps you dear...take care and may u have a great day ahead!

Answer:

13.6mm

Step-by-step explanation:

1.7mm x 8 sides =