Fit a quadratic polynomial to the data points (0, 27), (1,0), (2,0), (3,0), using least squares and sketch the solution.

⊱________________________________________________________⊰

Answer:

Step-by-step explanation:

Take the cube root of both sides. That way, you'll get rid of the ³ next to x and leave x by itself

\(\large\boldsymbol{\rm{x=\sqrt[3]{13} }}\)

done !!

⊰________________________________________________________⊱

The probability that at least one of the randomly selected 5 people without a high school degree smokes cigarettes daily is approximately 0.67232 or 67.232%.

To find the probability that at least one of the randomly selected 5 people who do not have a high school degree smokes cigarettes daily, we can calculate the probability of the complement event (none of them smoke daily) and subtract it from 1.

Let's denote the event "at least one of them smokes daily" as A. The complement event "none of them smoke daily" is denoted as A'.

The probability that an individual without a high school degree smokes daily is 19%. Therefore, the probability that an individual does not smoke daily is 100% - 19% = 81%.

Assuming independence among individuals, the probability that none of the 5 randomly selected people smokes daily is:

P(A') = (0.81)^5

Thus, the probability that at least one of them smokes daily (P(A)) is:

P(A) = 1 - P(A')

= 1 - (0.81)^5

Calculating this expression:

P(A) ≈ 1 - 0.32768

≈ 0.67232

Therefore, the probability that at least one of the randomly selected 5 people without a high school degree smokes cigarettes daily is approximately 0.67232 or 67.232%.

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Answer:

5/6

Step-by-step explanation:

Number of people in management majors = 10, number of people in world climate = 20.

Total number of people in class = Number of people in management majors + number of people in world climate = 10 + 20 = 30

Number of people with brown eyes = 10 / 2 + 20 / 2 = 5 + 10 = 15

Probability that a person chosen at random is a management major or has brown eyes = P(M or B)

P(M or B) = P(M) + P(B)

But probability of management major [P(m)] = Number of people in management majors / total number = 10 / 30 = 1/3

probability of brown eyes = Number of people with brown eyes / total number = 15 / 30 = 1/2

P(M or B) = P(M) + P(B) = 1/3 + 1/2 = 5/6

Answer:

Father's age = 48

Daughter's age = 24

Step-by-step explanation:

Let x be father's age and y be daughter's age.

1st equation:

x = 2y

2nd equation:

(x - 16) = 4(y - 16)

Replacing value of x from 1st equation,

(2y - 16) = 4(y - 16)

2y - 16 = 4y - 64

4y - 2y = 64 - 16

2y = 48

y = 48/2

y = 24

And,

x = 2y

x = 2 x 24

x = 48

8x - x = 64 - 16

7x = 48

Answer:

approximately 43 - 44 minutes exact

Answer:

It would take you 2917 hours.

Step-by-step explanation:

Do 777,777,777 divided by 266,560.

I hope this helped at all.

Blue Graph has the point: (-2,2) and Red Graph has the point: (-2,0). Therefore, when you remove 2 units of y for blue graph you represent the red graph.

Answer Letter A

Answer:

Step-by-step explanation:

1. 5/100*400*2=40

2. 12/100*6000*2=1440

3. 3/100*500*5=75

4. 5/100*2000*4=400

5. 2/100*1200*5=120

Given:

Brooke and Lamont ran a half marathon. Brooke finished in 1 hour 50 minutes, Lamont finished in 100 minute.

To find:

Who had the faster time?

Solution:

We know that,

1 hour = 60 minutes

Time taken by Brooke = 1 hour 50 minutes

                                     = 60 minutes + 50 minutes

                                     = 110 minutes

Time taken by Lamont = 100 minutes.

Since the time taken by Lamont is less than the Brooke, therefore Lamont had the faster time.

Answer:

Step-by-step explanation:

Yes, it is possible if the data is skewed negatively and the median is greater than the mean.

Answer:

D. y=6x-5

Step-by-step explanation:

the equation for a linear line: y=mx+b

m: slope

b: y-intercept

you know that m=6 and b=-5

plug the values into the equation

y=6x-5

Answer:

i do not know ._.

Step-by-step explanation:

Answer: 15

Step-by-step explanation:

The answer is because if you divide 14,130 by 3.14. You'll get 4500 and then divide that by 300 and your finally is 15

The radius of the inflated beach ball is equal to 58 inches.

Surface Area of a Sphere. A = 4 π r². The volume of a Sphere. V = (4 ⁄ 3) π r³. Where r is the radius of the circle.

Given: The volume of the sphere is 14,310 inches³

we know the volume of the sphere is  4/3 πr³

Thus equating we get

4/3 × 3.14×r³=14310

r³=3417.99

r³=3418

r=58.463 or 58 (approx)

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The length of segment SR is 90x - 4s, which can be determined by analyzing the given expression for units RT and QT: 2x + 88x - 4s.

Step 1: Identify the segment
In this problem, we need to find the length of segment SR.

Step 2: Understand the given information
We are given the lengths of two segments, RT and QT, as follows:
- RT = 2x
- QT = 88x - 4s

Step 3: Analyze the relationship between segments
Since SR is the segment that includes both RT and QT, we can express the length of segment SR as the sum of the lengths of RT and QT.

Step 4: Add the lengths of RT and QT
To find the length of segment SR, add the lengths of RT and QT:
SR = RT + QT
SR = (2x) + (88x - 4s)

Step 5: Simplify the expression
Combine like terms in the expression:
SR = 90x - 4s

The length of segment SR is 90x - 4s.

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The alternative hypothesis that will give the smallest P-value is a. μd ​≠ 0.

This is because the alternative hypothesis μd ​≠ 0 is a two-tailed test, meaning that it considers both the possibility of μd being less than 0 and greater than 0.

This means that there are two areas in the tail of the distribution that are considered when calculating the P-value, leading to a smaller P-value.The other two alternative hypotheses, μd ​< 0 and μd ​> 0, are one-tailed tests and only consider one area in the tail of the distribution, leading to larger P-values.

Therefore, the alternative hypothesis μd ​≠ 0 will give the smallest P-value.

A p-value is a statistical measurement used to validate a hypothesis against observed data. A p-value measures the probability of obtaining the observed results, assuming that the null hypothesis is true. The lower the p-value, the greater the statistical significance of the observed difference.

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Answer:

yes

Step-by-step explanation:

they both have right angles and a side of 21 cm, and they share the side xz. this makes them congruent by side-angle-side congruence, as xz=xz, angle zxw= angle xzy, and zy=xw.

The probability that a randomly selected man from the certain age group runs slower than 7.1 miles per hour is 0.9332.

Given: Running speed for adult men of a certain age group is known to follow a normal distribution, with mean 5.6 miles per hour and standard deviation

To find: What speed would he need to be able to run for this to be the case?

First we find the z score corresponding to 80% probability.

Using standard normal table, we get the corresponding z-score for 0.8 is 0.84.

z = (x - μ)/ σ

0.84 = (x - 5.6) / 1

x - 5.6 = 0.84

x = 5.6 + 0.84

x = 6.44 miles per hour (2 decimal places)

Therefore, Jim needs to run at least 6.44 miles per hour to be able to run faster than 80% of adult men in this age group.

Probability that a randomly selected man from the certain age group runs slower than 7.1 miles per hour is:

P (x < 7.1) = P (z < (7.1 - 5.6) / 1) = P (z < 1.5) = 0.9332 (using standard normal table)

Hence, the probability that a randomly selected man from the certain age group runs slower than 7.1 miles per hour is 0.9332.

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Answer:

chord

Step-by-step explanation:

a chord is a line drawn from one part of a circle's circumference to another without passing through the centre.

If the line passed through the centre then it would be a diameter

Answer:

\(13.834\ units\)

Step-by-step explanation:

\(We\ are\ given,\\A\ right\ triangle\ with\ one\ of\ it's\ angles\ as\ 70,\ and\ the\ hypotenuse\ as\ x\\ and\ the\ height\ as\ 13.\\Now,\\We\ know\ that,\\With\ respect\ to\ any\ angle\ A,\\sin A=\frac{Opposite}{Hypotenuse}\\ Hence,\\Here,\\sin\ 70=\frac{Side\ opposite\ to\ 70}{Side\ opposite\ to\ 90} \\ sin\ 70=\frac{13}{x}\\ Since\ sin\ 70\ degrees \approx 0.94,\\0.94=\frac{13}{x}\\ Hence,\\We\ finally\ get:\\x=\frac{13}{0.94} =13.834\ units\)

Answer:

The answer is -8/3.

Step-by-step explanation:

First, you have to make y the subject :

8x + 3y = 9

3y = -8x + 9

y = (-8/3)x + 3

In a linear equation, y = mx + b, m represent gradient (slope). So in this equation the slope is -8/3.

The expression to the correct combined function is:

(f+g)x = x² + 6x + 9

(f-g)x = x² + 4x + 3

(f.g)x = x³ + 8x² + 21x + 18

(f/g)x = x + 2

The sum, difference, product and quotient of two functions f and g are defined as follows.

Sum     →      (f + g)(x) = f(x) + g(x)

Difference  →     (f - g)(x) = f(x) - g(x)

Product     →      (f * g)(x) = f(x) * g(x)

Quotient     →      (f / g)(x) = f(x) / g(x)

As we have to find all the arithmetic combinations:

1. Sum: (f + g)(x) = f(x) + g(x)

f(x) = x² + 5x + 6 and g(x) = x + 3

(f + g)(x) = x² + 5x + 3 + x + 3

(f + g)(x) = x² + 6x + 6

2. Difference: (f - g)(x) = f(x) - g(x)

f(x) = x² + 5x + 6 and g(x) = x + 3

(f - g)(x) =  x² + 5x + 6 - (x + 3)

(f - g)(x) = x² + 4x + 3

3. Product:  (f * g)(x) = f(x) * g(x)

f(x) = x² + 5x + 6 and g(x) = x + 3

(f * g)(x) = (x² + 5x + 6) . (x + 3)

(f * g)(x) = x³ + 8x² + 21x + 18

4. Quotient: (f / g)(x) = f(x) / g(x)

f(x) = x² + 5x + 6 and g(x) = x + 3

(f / g)(x) = (x² + 5x + 6 ) / (x + 3)

(f / g)(x) = x + 2

Hence,

The expression to the correct combined function is

(f+g)x = x² + 6x + 9

(f-g)x = x² + 4x + 3

(f.g)x = x³ + 8x² + 21x + 18

(f/g)x = x + 2

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Disclaimer: The question given was incomplete on the portal. Here is the complete question.

Question: Drag each expression to the correct location on the table. Not all expressions will be used.

Consider functions f and g.

f(x)=x^2+5x +6

g(x)=x+3

Match each expression to the correct combined function.

See the attached image.

Answer:

26

Step-by-step explanation:

just use a calculator or search it up

The product of (2x-3y)(2x+3y) is 4x^2-9y^2.

the solution of the question is as follows,

Product = (2x-3y)(2x+3y)

Product =2x(2x+3y)-3y(2x+3y)

Product = 2x(2x)+2x(3y)-3y(2x)-3y(3y)

{using distributive property of multiplication}

Product = 4x^2 +6xy - 6xy -9y^2

solving 6xy-6xy=0,

Product = 4x^2 - 9y^2

4x^2-9y^2 is the product of (2x-3y)(2x+3y).

distributive property of multiplication

This property states that  multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together. The multiplication of (a - b)(a + b) is equal to a^2 - b^2. This result is used as an identity.

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Answer: 14

Step-by-step explanation:

Justice is using a technique known as chunking.

Short-term memory can function more effectively thanks to chunking, however the quantity of chunks that can be stored efficiently declines as chunk size grows.

Large pieces of information may be divided into smaller bits and then grouped together using relevant information or attributes before being stored in order to improve retention of that information in the short term memory. To establish relational information or similarity between the information to be stored in order to improve retention and recall in the short term memory, information must be broken down before being regrouped. However, as chunk size grows, so does the efficiency of information chunking.

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Answer:

6x(4x+5)-25

Step-by-step explanation:

Step-by-step explanation:

first distribute the 2 on the left

8x+10 = 3x-25

subtract the 3x from both sides

5x+10 = -25

subtract 10 from both sides

5x = -35

divide both sides by 5 to solve for x

x = -7

check your answer by substituting into the original equation.

2(-28+5) = -21-25

distribute

-56+10 = -21-25

solve

-46 = -46

The values for the remaining calculations are:

To calculate the remaining values step by step:

Simplify the first expression: [(-14) - (+3)] - (+8) =

Subtracting 8: = -14 - 3 - 8

= -25

Simplify the first expression: [(-16) - (-9)] - (-7) =

Adding 7: = -16 + 9 + 7

= 0

Simplify the first expression: [(+18) - (-6)] - (+18) =

Subtracting 18: = 18 + 6 - 18

= 6

Simplify the first expression: [(+21) - (-16)] - (-14) =

Adding 14: = 21 + 16 + 14

= 51

Simplify the first expression: [(-32) - (-19)] - (-11) =

Adding 11: = -32 + 19 + 11

= -2

Simplify the first expression: [(-49) - (-21)] - (+12) =

Subtracting 12: = -49 + 21 - 12

= -40

Therefore, the remaining calculations are:

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Answer:

its -18 going to the right closed circle

Step-by-step explanation:

Answer: r >_ (greater than or equal to) -18

Step-by-step explanation:

You would place it on -18 :)

You’re welcome :)

Teen awareness refers to the level of knowledge, understanding, and consciousness that teenagers have about various issues, including but not limited to social, environmental, health-related, and global concerns.

1) In Colorado, teens' awareness of seat belt messages increased by __ percentage points.
The answer choices provided are a.) 6 b.) 14 c.) 17 d.) 23.

2) In Nevada, teens' awareness of seat belt messages increased by __ percentage points.
The answer choices provided are a.) 6 b.) 14 c.) 17 d.) 23.

3) The result of changes in teen seat belt use is unclear as you did not provide any specific information or data to analyze.

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