1. Determine the following set of adjustments to the equation then draw the graph !!

a. 3u + y = 9: u, yec

b.3u-5y = 15; u, yer

please help sis​

To determine the minimum sample size needed for the researcher to be confident that his estimate is within "mm" hg of the true mean systolic blood pressure, we will use the following formula:

n = (Z * σ / E)²

where:
n = minimum sample size
Z = Z-score corresponding to the desired confidence level
σ = population standard deviation (in this case, "mm" hg)
E = margin of error (in this case, "mm" hg)

1. Determine the Z-score corresponding to the desired confidence level. Common confidence levels include 90%, 95%, and 99%, which correspond to Z-scores of 1.645, 1.960, and 2.576, respectively. Choose the appropriate Z-score based on the desired confidence level.

2. Substitute the given values of σ and E (both in "mm" hg) and the chosen Z-score into the formula: n = (Z * σ / E)²

3. Carry out the calculations, rounding the result up to the nearest whole number. This will ensure that the sample size is the minimum whole number that satisfies the requirements.

4. The result is the minimum sample size needed for the researcher to be confident that his estimate is within "mm" hg of the true mean systolic blood pressure.

Note: Since this question haven't provided specific values for standard deviation, margin of error, and desired confidence level . follow the steps with the specific values you have to find the minimum sample size.

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In this question, the point of concurrency of the altitudes of a triangle is called the D. Orthocenter.

In a triangle, an altitude is a line segment that extends from a vertex of the triangle perpendicular to the opposite side or its extension. The altitudes of a triangle can intersect at a single point known as the orthocenter.

The orthocenter is an important point of concurrency in a triangle. It is the intersection point of the three altitudes of the triangle. Each altitude is perpendicular to its corresponding side, and their intersection occurs at the orthocenter.

The orthocenter does not necessarily lie inside the triangle. In an acute triangle, the orthocenter lies inside the triangle. In a right triangle, the orthocenter coincides with one of the vertices. In an obtuse triangle, the orthocenter lies outside the triangle.

The orthocenter plays a significant role in triangle geometry and has various geometric properties and relationships with other points of concurrency, such as the centroid, circumcenter, and incenter.

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Answer:

\(x=54^{o}\)

Step-by-step explanation:

Angles of straight line: 126 and x = 180

\(x+126=180\)

\(x=180-126\)

\(x=54^{o}\)

{CHECK: \(54+126=180\)}

hope this helps.....

The factors of the function, g(x) = x³ + 2x² - x - 2 is, C. (x - 1)(x + 1)(x + 2).

We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.

To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.

Given, A cubic polynomial, g(x) = x³ + 2x² - x - 2.

Now, From the options if (x - 2) is a factor then x - 2 = 0, x = 2 ⇒ g(2) = 0.

g(2) = 2³ + 2.2² - 2 - 2.

g(2) = 8 + 8 - 2 - 2.

g(2) = 12, So x - 2 is not a factor.

Let, x + 2 = 0, x = - 2.

g(-2) = - 8 + 8 = 2 - 2.

g(-2) = 0, So, x + 2 is a factor, And we know a cubic polynomial has three factors.

Therefore, g(x) = x³ + 2x² - x - 2 = (x - 1)(x + 1)(x + 2).

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If the observed t-value exceeds the critical t-value, then the difference between the sample means is most likely statistically significant.

In other words, the difference between the sample means is unlikely to have occurred by chance and is likely due to a real difference in the population means. The direction and magnitude of the difference must be further examined using effect size measures and confidence intervals.

Therefore, the most suitable value to be fit in the blank space of the given incomplete statement is, statistically significant.

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Answer:

angle y = 60

Step-by-step explanation:

They are equal due to the rule that vertical angles are always equal

"A pair of vertically opposite angles are always equal to each other."

hope this helps

The tolerance interval for capturing at least 90% of the values in a normal distribution, based on a random sample of size 25 with x = 13.99 and s = 4.71, at a confidence level of 95% is approximately (9.67, 18.31).

A tolerance interval provides a range that is expected to capture a certain proportion of the population values. To compute the tolerance interval, we need the sample size (n), sample mean (x), sample standard deviation (s), desired confidence level, and the desired proportion of the population values to be captured.

In thIs case, the sample size (n) is 25, the sample mean (x) is 13.99, and the sample standard deviation (s) is 4.71. The desired confidence level is 95%, and we want to capture at least 90% of the values in the population.

To calculate the tolerance interval, we can use the formula:

Tolerance interval = x ± t × (s/\(\sqrt{n}\))

The critical value t can be obtained from the t-distribution table for a given confidence level and degrees of freedom (n-1). For a 95% confidence level with 24 degrees of freedom, the critical value is approximately 2.064.

Plugging in the values, we get:

Tolerance interval = 13.99 ± 2.064 × (4.71/sqrt(25))

Tolerance interval ≈ (9.67, 18.31)

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Answer: this is not a function

Step-by-step explanation:

Multiple inputs (the left side) my have the same output (right side) but no one input can have multiple outputs.

We can calculate the percent increase making the following calculation:

This means that the value increased 6%

Given:

To simplify:

Explanation:

First, let us take LCM of 4 and 8.

The LCM is 8.

Let us make the denominator the same.

Final answer:

The simplest form of the given problem is,

The linear velocity of a point on the surface of the Earth at the equator is approximately 1670 kilometers per hour, and the acceleration is negligible.

The linear velocity of a point on the Earth's surface can be calculated using the formula v = ωr, where v is the linear velocity, ω is the angular velocity, and r is the distance from the axis of rotation. The Earth completes one rotation in approximately 24 hours, which corresponds to an angular velocity of 2π radians per 24 hours or approximately 0.0000727 radians per second.

At the equator, the distance from the axis of rotation is equal to the Earth's radius, which is approximately 6,371 kilometers. Plugging these values into the formula, we find that the linear velocity at the equator is approximately 1670 kilometers per hour. The acceleration of a point on the Earth's surface due to its rotation is given by the formula a = ω²r.

However, the acceleration at the equator is negligible because the distance from the axis of rotation remains constant, and the angular velocity is relatively small. Therefore, the acceleration of a point at the equator is considered negligible in practical calculations.

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It will take 8 weeks to Tom to achieve his goal.

The amount earned by him is given by multipliy number or hours and eaning in a hour.

Given

Tom has a goal of saving enough money to buy a new set of rims for his car.

Tom makes $7. 50 an hour take home pay at his job working 15 hours per week.

The earning of Tom in an hour = $7.5

If tom worked 15 hours in a week, then the amount earned by him in one week is;

\(=15\times 7.5\\\\=112.5\)

The required amount to achieve his goal = $900

The number of week he need to work to achieve his target is;

\(= \dfrac{900}{112.5}\\\\= 8\)

Hence, It will take 8 weeks to Tom to achieve his goal.

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1) Find the Greatest Common Factor (GCF).

GCF = p²

2) Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

\(p^{2} (\frac{3p^{3} }{p^{2} } +\frac{-p^{2} (r-45)}{p^{2} } )\)

3) Simplify each term in parentheses.

\(p^{2} (3p-r+45)\)

Answer:

p²(3p - r + 45)

Step-by-step explanation:

3p³ - p²(r - 45) ← factor out p² from each term

= p²(3p - r + 45)

The error term is a random variable with an expected value of zero.2. The error term is normally distributed

The assumptions underlying the simple linear regression model `y = Bo + B1x + e` are: 1.

The variance of the error term e is constant across all values of x.Thus, the assumptions that are underlying the simple linear regression model `y = Bo + B1x + e` are the second and the third options, which are "The error term is normally distributed." and "The variance of the error term e is constant across all values of x." respectively.

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The largest discrepancy between experimental and expected probability can be determined by comparing observed frequencies of the outcomes with expected probabilities for each face of the cube.

To calculate the expected probabilities, we divide the number of favorable outcomes (1 for each face) by the total number of possible outcomes (6 for a standard cube). Thus, the expected probability for each face is 1/6 or approximately 16.67%.  For example, let's say the observed frequencies are as follows: Face 2 (3 occurrences), Face 4 (5 occurrences), Face 6 (4 occurrences), Face 8 (6 occurrences), Face 10 (2 occurrences), and Face 12 (4 occurrences). The observed probabilities can be calculated by dividing the observed frequencies by the total number of trials (in this case, the sum of all observed frequencies, which is 24).

Next, we calculate the difference between the observed probabilities and the expected probabilities for each face. We find the absolute value of each difference to consider both overestimations and underestimations.In this case, let's assume the largest absolute difference is 0.07. To convert the discrepancy to a percentage form, we multiply the largest absolute difference by 100.

In conclusion, the largest discrepancy between the experimental and expected probability in this experiment is 7% when rounded to the nearest whole number.

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Answer:

b.28% of the patients tested received the medication and experienced a decrease in blood pressure

Answer:

The second one

Step-by-step explanation:

The total of patients is 100% wich is equivalent to 1.

● 0.5 of them received medication and ● 0.54 of them experienced a decrease in blood pressure.

The intersection of both is worth 0.28

So out of 1, 0.28 took medication and experienced a blood pressure decrease

The answer is a.) The probability of landing on orange is greater than the probability of landing on purple.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

A spinner with repeated colors numbered from 1 to 8 is shown.

Sections 1 and 8 are purple.

Sections 2 and 3 are yellow.

Sections 4, 5, and 6 are blue.

Section 7 is orange.

A spinner divided into eight equal colored sections, with one orange, two purple, two yellow, and three blue.

so, we get,

true statement about probability is,

The probability of landing on orange is greater than the probability of landing on purple.

because, there are more spaces for blue than any other section.

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Using mathematical operations, the quantity of YumYum cupcakes required by my siblings and 1, with each wanting 7 halves of it, is 14 cupcakes.

The total quantity of cupcakes required by the 4 siblings can be determined using the mathematical operations of division and multiplication.

Division operation consists of the dividend, the divisor, and the quotient while multiplication involves the multiplier, the multiplicand, and the product.

The number of siblings = 4

The quantity of YumYum cupcakes required by each = 7 halves

7 halves = 3.5 (7 ÷ 2)

Thus, since each sibling requires 3.5 cupcakes, using mathematical operations, the total quantity = 14 cupcakes (3.5 x 4)

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What is the total quantity of YumYum cupcakes required?

a.Stored attribute b.Minimum cardinality c. entity type- relationship type d. strong entity type weak entity type e. degree cardinality f. required attribute optional attribute g. composite attribute multivalued attribute h. ternary relationship has a strict contrast .

a. Stored attribute represents a characteristic or property of an entity that is directly stored in a database. It can be easily accessed and retrieved. On the other hand, a derived attribute is not directly stored but is calculated or derived from other attributes. It is derived using formulas, calculations, or rules based on the stored attributes.

b. Minimum cardinality specifies the minimum number of occurrences an entity can have in a relationship. For example, a minimum cardinality of 1 means that an entity must have at least one occurrence in the relationship. Maximum cardinality, on the other hand, defines the maximum number of occurrences an entity can have in a relationship. It sets an upper limit on the number of associations an entity can have.

c. An entity type represents a distinct object in the real world, such as a customer, employee, or product. It has its own attributes and may participate in relationships with other entity types. On the other hand, a relationship type represents an association or connection between two or more entity types. It describes how entities are related or connected to each other.

d. A strong entity type exists independently and has its own primary key. It can be uniquely identified on its own without depending on any other entity types. A weak entity type, however, depends on a strong entity type for its existence. It does not have its own primary key and relies on a foreign key relationship with a strong entity type.

e. Degree refers to the number of entity types participating in a relationship. It represents the number of entity types connected by the relationship. Cardinality, on the other hand, describes the number of occurrences or instances of one entity type that can be associated with another entity type in a relationship. It specifies how many entities can participate in the relationship.

f. Required attributes are attributes that must have a value and cannot be left empty or null. They are necessary for the completeness and integrity of the data. Optional attributes, on the other hand, are attributes that may or may not have a value. They are not mandatory and can be left empty.

g. A composite attribute is an attribute that can be further divided into sub-attributes. It is composed of multiple components or parts, representing a hierarchical structure. On the other hand, a multivalued attribute can have multiple values for a single occurrence of an entity. It allows an entity to have multiple instances or occurrences of the attribute.

h. A ternary relationship involves three

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Answer:

3 days.

Step-by-step explanation:

Simple ratio:

8/2=12/x

4/1=12/x

4x=12

x=3

Hope this helps!

The polynomial Identities and an example of a proof of an identity have been explained below.

Polynomial identities are defined as equations that are always true, regardless of the variable values. These polynomial identities are used while factorizing the polynomial or expanding the polynomial. These polynomial identities are;

(a + b)² = a² + b² + 2ab

(a - b)² = a² + b² - 2ab

(a + b)(a - b) = a² - b²

(x + a)(x + b) = x² + x(a + b)+ ab

Let us prove the polynomial identity (a + b)² = a² + b² + 2ab.

Now, (a + b)² is simply the product of (a + b) and (a + b).

That is; (a + b)² = (a + b) × (a + b)

This can simply be imagined to be a square whose side are (a + b) with its' area equal to (a + b)²

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Answer:

A and B

Step-by-step explanation:

The lines are both in slope intercept form:

y=Mx+b

Where m is the slope and b is the y intercept.

We have 2 lines:

y=1/3x+3

y=1/3x-2

1/3 is the coefficient of x, which means the slope is 1/3. Both of these lines have the same slope of 1/3. Since they both have the same slope, they are also parallel lines.

Therefore, A: the same slopes and B: parallel lines is correct.

In the photo, the red line is 1/3x+3 and the blue like is 1/3x-2

The probability of hitting the white portion of the target is closer to 1.

Given target shape:

```
----
|    |
|  o |
|    |
----
```

Part A:
The probability of hitting the black circle inside the target is closer to 0.
Area of the black circle = πr² = π(5)² = 25π square units.
Area of the square target = s² = 11² = 121 square units.
Area of the white part of the target = 121 - 25π.
The probability of hitting the black circle = (area of the black circle) / (area of the square target) = (25π) / 121.
Now, (25π) / 121 ≈ 0.65.
Therefore, the probability of hitting the black circle is closer to 0.
Part B:
The probability of hitting the white portion of the target is closer to 1.
The area of the white portion of the target = 121 - 25π.
The probability of hitting the white portion of the target = (area of the white portion) / (area of the square target) = (121 - 25π) / 121.
Now, (121 - 25π) / 121 ≈ 0.20.
the probability of hitting the white portion of the target is closer to 1.

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1.1. Look for the point of intersection, which is the solution of the system,  (1, 5).

1.2. Equation of line a is: y = -3x + 8; Equation of line b is: y = 3x + 2

1.3. x = 1; y = 5

The coordinates of x and y of the point where the two lines that represent a system intersect is the solution of the system of equations.

1.1. To find the solution of the given system of equations, find where the two lines intersect. Thus, the solution is: (1, 5).

1.2. Equation of line a:

Slope (m) = rise/run = -3/1 = -3

y-intercept (b) = 8

The equation of line a is: y = -3x + 8

1.2. Equation of line b:

Slope (m) = rise/run = 3/1 = 3

y-intercept (b) = 2

The equation of line b is: y = 3x + 2

1.3. To solve the system of equations:

y = -3x + 8

y = 3x + 2

We can set the right-hand sides of these equations equal to each other, since they both equal y:

-3x + 8 = 3x + 2

Now we can solve for x:

-3x - 3x = 2 - 8

-6x = -6

x = 1

Now that we have found x, we can substitute it back into one of the original equations to find y. Let's use the second equation:

y = 3x + 2

y = 3(1) + 2

y = 5

Therefore, the solution to the system of equations is (x, y) = (1, 5).

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Answer:

Step-by-step explanation:

meow goofy kid

By applying online survey method concept, it can be concluded that the company is using reward in the form of a $2.00 payment and an incentive by telling the readers that his or her input will make a difference (option D).

Online survey is a common survey method used by companies to gather data from a sample of the population.

Response rate is defined by the percentage of persons asked to answer a survey who actually answer the survey.

The company is using an online survey to allow them to reach a larger sample of people and gather data more efficiently.

However, by offering a small reward in the form of the $2.00 payment and an incentive by telling the readers that his or her input will make a difference, the company is hoping to increase the response rate and get more accurate results from the survey.  (option D)

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Full question:

Suppose you are reading an article online when the following text appeared in a popup window:

"Would you be interested in participating in a short health-related survey? If you qualify and complete this survey, you will receive $2.00".

What tactic is being used to increase the response rate for this survey? A. The company is selecting people randomly.

B. The company is using an online survey.

C. The company is using callbacks.

D. The company is using a reward in the form of the $2.00 payment and an incentive by telling the readers that his or her input will make a difference

Hello so the answer is

1. the points intercept (0,7) ( 4,10) (8,13 )

an for the last one ( 0,4 )

Answer:

1. 10

2. 7

3. 4

Step-by-step explanation:

ok so this is simple

1. (2,11), (4,12), (6,13), (8,14)

x goes up by two

x  2 - 2 = 0

y goes up by one

y  11 - 1 = 10

the y-interception is 10

2. this one is really easy

the y-interception is 7

3. this one is just like the one before it

the y-interception is 4