please help me with this question

The solution is : the predicted blood pressure for a person aged 64 will be : 156.

A quadratic equation is a second-order polynomial equation in a single variable x ; ax^2+bx+c=0. with a ≠ 0 . Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution.

here, we have,

Given the data:

Age (X) :

38

41

45

48

51

53

57

61

65

Pressure(Y) :

116

120

123

131

142

145

148

150

152

From the data, we could obtain a regression equation to mod the data Given using a linear regression calculator :

The regression equation obtained is :

y = 1.48769X + 60.46103

Using the model, the predicted blood pressure for a person aged 64 will be :

y = 1.48769(64) + 60.46103

y = 95.21216 + 60.46103

y = 155.67319

y = 156 (nearest whole number)

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The best predicted value of y for the given x=41 is 121.45.

The correlation coefficient describes how one variable moves in relation to another. A positive correlation indicates that the two move in the same direction, with a value of 1 denoting a perfect positive correlation. A value of -1 shows a perfect negative, or inverse, correlation, while zero means no linear correlation exists.

Given that,

X= 38 41 45 48 51 53 57 61 65

Y= 116 120 123 131 142 145 148 150 152

∑x= 459

∑y= 1227

∑x²= 24059

∑y²= 168843

∑xy= 63544

Sxx= ∑x²-∑x²/n

= 24059-459²/9

= 650

Sxy = ∑xy-(∑x·∑y)/n

= 63544-(459×1227)/9

= 63544-62577

= 967

Now, slope =967/650= 1.488

Mean of x=459/9 =51

Mean of y=1227/9 = 136.33

Now, intercept is b=136.33-(1.488×51)

= 60.442

Here, the equation of a line is y=1.488x+60.442

When x=41, we get

y=1.488×41+60.442

y= 121.45

Therefore, the best predicted value of y is 121.45.

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Equations that correctly expresses the system of equations in standard form are x + y = 22 and 3x + 4y = 76.

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given,

Cost of blue sea shells = $3

Cost of pink sea shells = $4

Cost of 22 sea shells = $76

Let number of blue sea shells is x and number of pink sea shells is y

then number of total shells

x + y = 22

Cost of shells

3x + 4y = 76

Hence, x + y = 22 and 3x + 4y = 76 are the equations that correctly expresses the system of equations in standard form

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Using linear programming, the minimum weekly labor cost of $2,616 occurs when there are 84 full-time employees and 67.2 part-time employees (which can be rounded up to 68 part-time employees)

a. Let x be the number of full-time employees and y be the number of part-time employees.

b. The constraints are:

c. The objective function is to minimize the weekly labor cost, which is given by:

Cost = 25x + 18y

d. To graph the solution region, we can first graph the inequality 40x + 25y ≥ 4200 as a line:

Next, we can graph the inequality x ≥ 1.25y as a line:

The feasible region is the shaded region that satisfies all the constraints and is bounded by the two lines and the x and y axes:

To find the corner points, we can solve the system of equations for the lines that form the boundaries of the feasible region:

Now we can evaluate the objective function at each of the corner points:

Therefore, the minimum weekly labor cost of $2,616 occurs when there are 84 full-time employees and 67.2 part-time employees (which can be rounded up to 68 part-time employees).

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Answer:

A. Lancaster

Lancaster is on the edge of the yellow area.

Answer:

Step-by-step explanation:

Let's use the following variables:

Let F be the number of sections of Finite Math

Let A be the number of sections of Applied Calculus

Let C be the number of sections of Computer Methods

We can create a system of equations based on the given information:

F + A + C = 7 (the college wishes to offer a total of seven sections)

40F + 60A + 290C = 298000 (the college wishes to bring in $298,000 in revenues)

40F + 40A + 10C = 220 (the college wishes to accommodate 220 students)

We can solve this system of equations using any method we prefer. Here's one possible way:

Multiply the third equation by 10 to get:

400F + 400A + 100C = 2200

Subtract the third equation from the second equation to eliminate C:

20A + 280C = 76000

Multiply the first equation by 40 and subtract it from the previous equation to eliminate A:

240C = 76000 - 1600

Solve for C:

C = 290

Substitute C = 290 into the third equation to solve for F:

40F + 40A + 10(290) = 220

40F + 40A = -2680

F + A = -67

Substitute C = 290 and F + A = -67 into the first equation to solve for A:

A = 10

Substitute A = 10 and C = 290 into the first equation to solve for F:

F = -3

We have a problem here: we obtained a negative number of sections for Finite Math, which is impossible. This means that the original system of equations is inconsistent, and there is no solution that satisfies all the requirements.

Therefore, the college cannot offer the desired number of sections while accommodating the desired number of students and revenue. Some adjustments need to be made, such as changing the number of students per section or the tuition fees.

The value of x is 47 from the given figure.

An angle is formed when two straight lines or rays meet at a common endpoint.

The sum of angles is 180 degrees from the figure.

x-2+x-2+x-2+x-2=180

Add the like terms

4x-8=180

Add 8 on both sides

4x=188

Divide both sides by 4

x=188/4

x=47

Hence, the value of x is 47 from the given figure.

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The prοbability οf Martin getting exactly 3 pink gumballs οut οf 6 is apprοximately 0.1608 οr 16.08%.

Prοbability is a measure οf the likelihοοd οr chance οf an event οccurring. It is expressed as a number between 0 and 1, with 0 indicating an impοssible event and 1 indicating a certain event. The prοbability οf an event can be calculated by dividing the number οf favοrable οutcοmes by the tοtal number οf pοssible οutcοmes.

In the given scenariο, there are 6 different cοlοrs οf gumballs, and each has an equal chance οf being dispensed. Therefοre, the prοbability οf getting any particular cοlοr is 1/6.

Tο find the prοbability οf Martin getting exactly 3 pink gumballs οut οf 6, we need tο use the binοmial prοbability fοrmula:

[tex]\mathrm{P(X=k) = C(n,k) \times p^k \times (1-p)^{(n-k)}}[/tex]

where:

P(X=k) is the prοbability οf getting exactly k successes

n is the tοtal number οf trials (in this case, 6)

k is the number οf successes we want (in this case, 3)

p is the prοbability οf success (in this case, the prοbability οf getting a pink gumball, which is 1/6)

C(n, k) is the number οf cοmbinatiοns οf n things taken k at a time, which can be calculated as n! / (k! × (n-k)!).

Plugging in the values, we get:

P(X=3) = C(6,3) × (1/6)³ × (5/6)³

= (6! / (3! × 3!)) × (1/6)³ × (5/6)³

= 20 × (1/216) ×  (125/216)

= 0.1608

Therefοre, the prοbability οf Martin getting exactly 3 pink gumballs οut οf 6 is apprοximately 0.1608 οr 16.08%.

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If the total amount spent by the eight students in Ms. Reese's class is $121.00, using a system of equations, the number that purchased from the:

A system of equations is two or more equations solved at the same time or concurrently.

It is also known as simultaneous equations.

The total number of students in Ms. Reese's class who decided to purchase their textbook from two different sources = 8

The unit cost per textbook from the college bookstore = $16.50

The unit cost per textbook from an online discount store = $11.00

The total spending by the eight students = $121.00

Let the number of students who purchased from the college bookstore = x

Let the number of students who purchased from an online discount store = y

x + y = 8 …Equation 1

16.5x + 11y = 121 …Equation 2

Multiply Equation 1 by 11:

11x + 11y = 88 …Equation 3

Subtract Equation 3 from Equation 2:

16.5x + 11y = 121

-

11x + 11y = 88

5.5x = 33

x = 6

Substitute x = 6 in either equation:

x + y = 8

6 + y = 8

y = 2

Thus, 6 students purchased their textbooks from the college bookstore while 2 purchased online.

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Answer:

b

Step-by-step explanation:

3 + 3 = 6 lol

6 how many apples

We can write the function f(x) = (- x³ - 2) at {x} = 5 as -

f(5) = - 127.

An expression is a term made up of both constants and variables.

Given is the function as -

f(x) = - x³ - 2

We can write f(5) as -

f(5) = - (5)³ - 2

f(5) = - 125 - 2

f(5) = - 127

Therefore, we can write the function f(x) = (- x³ - 2) at {x} = 5 as -

f(5) = - 127.

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The coordinates after the rotation are:

R → M = (1, 2)

U → N = (2, 4)

T → P = (4, 5)

S → Q = (3,3)

By looking at the diagram, we can see that the mapings of the rotation are:

R → M

U → N

T → P

S → Q

We know this by looking at the orientation of the figures and by knowing how a rotation works.

So the cordinates after the rotation are the ones of these points, we can use the graph to find them:

R → M = (1, 2)

U → N = (2, 4)

T → P = (4, 5)

S → Q = (3,3)

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For this equation our term is root of -24

What is verbal sentence ?

Verbal sentences consist of a verb + subject + object or adverbial phrase. The subject and object can be either nouns or pronouns.

After solving the equation we get square of n which is equal to three times of eight

If the subject is a pronoun, it is always a suffix; and if the object is pronoun, it is always a dependent pronoun. When the subject is a pronoun, the word order is normal, meaning that the subject follows the verb and precedes the object.

If the subject is a noun and the object is a dependent pronoun, the pronoun object is before the noun subject.

The dative has a special place in the word-order of verbal sentences. It is expressed by the preposition n in addition to a noun or pronoun referring to a person, if the subject is a pronoun. It assumes a third place following the verb and its subject. However, if the subject is a noun, the dative is allocated a forward position and occurs before the subject.

If the subject is a noun and the object is a pronoun and the sentence consists of a dative, the word order is thus:

Verb + dative + dependent pronoun (object) + subject

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The image reflected by the line of the triangle is attached below.

What is an image?

A reflection is the shape's mirror image. A line, called the line of reflection, will allow an image to reflect through it. Every point in a figure is said to reflect the other figure when they are all equally spaced apart from one another.

The coordinates of the vertices of the triangle are (1, -2), (8,1), (4,-9).

The rule of reflection across the y = x line is (x,y) → (y,x).

The reflection of (1, -2) across the y = x line is (-2,1).

The reflection of (8,1) across the y = x line is (1,8).

The reflection of (4,-9) across the y = x line is (-9,4).

The coordinates of the vertices of the reflected triangle are (-2,1), (1,8), and (-9,4).

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Answer:

Step-by-step explanation:

triangle-

b+h/2=a

5x6/2=30

rectangle-

2.5x12=30

area of drawing-

30+30=60

answer:60cm^2

Answer:

Step-by-step explanation:

Kelly bought a total of 1500 pencil boxes.

C. A changing amount of money spent on different categories each year

Amount is a term used to describe a quantity of something, typically money. It is often used to refer to the total value of a financial transaction or the sum of multiple payments. Amount can also refer to any other quantifiable measure, such as a number of items, units of time, or a volume or quantity of something.

Discretionary government spending is a type of government spending that is determined each year by the Congress, and typically includes funds for defense, education, infrastructure, and other government programs. The amount of money spent on each category can vary from year to year, making it a type of changing, or discretionary, spending.

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The correct method to calculate the number of cubic units(volume) of cake batter needed to fill the mold is option (a) , i.e V equals 355 over 113 times 5 squared times 7.

Mensuration is the branch of mathematics concerned with the study of various geometric shapes, their areas and volumes. In a broad sense, it is about the process of measurement. Measurement is a branch of mathematics. That is measurement. 

Solution:

Given, Diameter = 10 inches

               Radius = 5 inches

                Height = 7 inches

Volume of cylinder = πr²h

                                = (355/113)×5²×7

                                = 3.14×25×7

                                 = 549.77 inches³

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Answer:

Step-by-step explanation:

i assume you mean that the mat is 11 feet on each side so

area = s*s(or S^2)

so 11*11=121feet sq

The point which has the coordinates (-3.5, 4) is point Z.

Coordinates are the set of points in a geometrical plane or space, which is used to denote the exact point in the coordinate plane or space.

Given coordinate is (-3.5, 4).

This means that the point is at a distance of 3.5 to the left of the origin and at a distance of 4 units above the origin.

So in order to find the point, mark the point -3.5 in the exact middle of -3 and -4 on the X axis.

Mark the point 4 on the Y axis.

Draw perpendicular lines from both.

Intersecting point is the given point.

Here point Z indicates this.

Hence point Z indicates the coordinates (-3.5, 4).

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Your question lacks the graph showing the points and coordinates. The graph is given below.

The recursive formula model to represent this situation is L(n) = L(n-1) + 5 where you can swim 15 laps every day.

A recursive formula is a formula that defines a sequence in terms of one or more of its preceding terms. In other words, it is a way to generate the terms of a sequence using the previous terms of the same sequence.

        L(n) = L(n-1) + 5

        where

        L(n-1) represents the number of laps swum in the previous week.

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1. Patrick makes more per hour by $6.

2. Betthany makes more per hour by $5.25

3. Tommy makes more per hour by $ 1.25.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

The rate of Change of Critters and Co

Slope= Rise/ Run

        = 15/2

        = 7.5

So, the equation is y = 7.5x

and, rate of Change of Little Paws

= (52.50-35) / (6-4)

= 17.5 / 2

= 8.75

So, the equation is y = 8.5x + 5

and, rate of Change of The Waging Tail

= 8.25

1. Patrick makes more per hour by $6.

2. Betthany makes more per hour by $5.25

3. Tommy makes more per hour by $ 1.25.

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Answer: 5/18.  or 5 over 18

Step-by-step explanation:

5 is the number of kids that want pancakes

13 is the number of kids that want waffles

18 is the total number of students

The question is asking what is the ratio of the number of students who want pancakes to the total number of students?

So you just do

5 kids that want pancakes over 18 kids total or 5/18

Answer:

90

Step-by-step explanation:

The presence of these organic elements, according to scientists, is insufficient evidence for the existence of ancient life on Mars since the molecules been created via other non-living processes. This assertion true.

Everything that includes carbon compounds produced by living things is considered to be organic matter. Lawn trimmings, leaves, twigs, branches, moss, algae, lichens, any animal parts, sewage, dust, insects, earthworms, and bacteria are just a few examples of what it includes.

Carbohydrates, lipids, protein, and nucleic acids are the four main kinds of organic substances that are found in all living organisms.

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The equation of the circle x² + y² - 8x - 6y + 16 = 0 in standard form is (x - 4)² + (y - 3)² = 3².

Given the equation of the circle ;

x² + y² - 8x - 6y + 16 = 0

To write the equation of a circle in standard form, we need to express it as:

(x - h)² + (y - k)² = r²

where (h, k) is the center of the circle and r is the radius.

To do this, we need to complete the square for both x and y terms in the given equation.

Starting with the x terms:

x² - 8x = x² - 8x + 16 - 16

= (x - 4)² - 16

Similarly, for the y terms:

y² - 6y = y² - 6y + 9 - 9

= (y - 3)² - 9

Substituting these results into the original equation, we get:

x² + y² - 8x - 6y + 16 = 0

(x - 4)² - 16 + (y - 3)² - 9 + 16 = 0

Simplifying, we get:

(x - 4)² + (y - 3)² - 9 = 0

(x - 4)² + (y - 3)² = 9

So the equation of the circle in standard form is:

(x - 4)² + (y - 3)² = 3²

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Deck A the safe walk zone must be painted at the points 13.74 units left and right of the edge of the circle, whereas for Deck B it must be painted at 12.68 units.

Maximum Height refers to the vertical distance between the Reference Level and the highest point of a building's roof surface, including parapet walls, mechanical equipment installed on the roof, authorised Signage, and other permissible projections of any type.

The equation of the given circular space station is:

[tex]x^2 + y^2 = 15^2\\\\x^2 + y^2 = 225[/tex]

Given that, a 6-foot person can walk through the circular station.

Substitute the value of y = 6.

[tex]x^2 + 6^2 = 225\\\\x^2 = 225 - 36\\\\x = \sqrt{189}\\ \\x = \pm 13.74[/tex]

Also, Deck B is 2 feet below deck A thus,

[tex]x^2 + 8^2 = 225\\\\x^2 = 225 - 64\\\\x = \sqrt{161}\\ \\x = \pm 12.68[/tex]

Hence, for Deck A the safe walk zone must be painted at the points 13.74 units left and right of the edge of the circle, whereas for Deck B it must be painted at 12.68 units.

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Answer:

it is impossible to know

Answer:

Let's start by finding how much money Mary has left after buying the gift cards:

$250 - $130 = $120

Now, to find the greatest number of candy bars Mary can buy, we need to divide the amount of money she has left by the cost of each candy bar:

$120 ÷ $1.50 = 80

So Mary can buy up to 80 candy bars with the rest of her money.

We can check which inequality represents this situation by plugging in the numbers:

130 + 1.50x ≤ 250

where x represents the number of candy bars Mary buys.

If we subtract 130 from both sides, we get:

1.50x ≤ 120

Finally, if we divide both sides by 1.50, we get:

x ≤ 80

This matches our answer, so the correct inequality is:

D. 130 +1.50x ≤ 250

Answer:

D. 130 +1.50x ≤ 250

Step-by-step explanation:

250 - 130 = 120
1.50x = 120

A. The probability that he'll win both seats is 0.48.

B. The probability he'll loose both seats is 0.52.

C. The probability he'll win one seat is 0.92.

The probability of an event is calculated using the mathematical notion of probability. We can only use it to determine the likelihood that an event will occur. On a scale from 0 to 1, where 0 denotes impossibility and 1 denotes a specific occurrence.

We are given that a candidate is contesting for both national and provincial seats.

Event A = Winning national seat

Event B = Winning provincial seat

A. The probability that he'll win both seats is

P(A) × P(B) = 0.8 × 0.6 = 0.48

B. The probability he'll loose both seats is

1 - 0.48 = 0.52

C. The probability he'll win one seat is

Probability = 0.8 + 0.6 - 0.48

Probability = 0.92

Hence, the required probabilities have been obtained.

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Question: a candidate is consisting for both national and provincial assembly seats. the probability that he will win the national seat is 0.8 and will win the provincial seat is 0.6. what is the probability that

a) he will win both seats

b) he will lose both the seats

c) he will win at least one seat