According to a map Vincent lives 32 km from frank Distance Equivalent 1 kn = 0.62 miles using this table above how many miles does Vincent live from the park

Probability that both Nestor and Bruce will drive a red bumper car = 1.5%

Number of red cars, n(Red) = 2

Number of green cars, n(Green) = 5

Number of blue cars, n(Blue) = 5

Total number of cars, n(Total) = 5 + 5 + 2

n(Total) = 12

Probability that Nestor will have a red bumper car:

P(Nestor, red) = 2/12

P(Nestor, red) = 1/6

After Nestor has been given a red car:

The number of red cars remaining = 2 - 1 = 1

Total number of cars remiaining = 12 - 1 = 11

Probability that Bruce will have a red bumper car:

P(Bruce,red) = 1/11

Probability that both Nestor and Bruce will drive a red bumper car = P(Nestor, red) x P(Bruce,red)

Probability that both Nestor and Bruce will drive a red bumper car = 1/6 x 1/11

Probability that both Nestor and Bruce will drive a red bumper car = 1/66

Probability that both Nestor and Bruce will drive a red bumper car = 0.015

Probability that both Nestor and Bruce will drive a red bumper car = 0.015 x 100%

Probability that both Nestor and Bruce will drive a red bumper car = 1.5%

The 95 percent confidence interval is (0.20, 0.32).

a. We can construct a 95% confidence interval to estimate the percentage of yellow peas as follows:

Let p = proportion of yellow peas = 155/595 = 0.26

Sample size = n = 595

Standard error = SE = √(p × (1-p) / n) = √(0.26 × (1-0.26) / 595) = 0.03

95% confidence interval = p ± 1.96 × SE

= 0.26 ± 1.96 × 0.03

= 0.26 ± 0.06

So, the 95% confidence interval is (0.20, 0.32).

b. Yes, the results of the experiment appear to contradict the expectation that 25% of the offspring peas would be yellow, as the 95% confidence interval does not include the expected value of 0.25.

Therefore, the 95 percent confidence interval is (0.20, 0.32).

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Answer:

Step-by-step explanation:

You have:

\(x^2+y^2-8x+27=0\)

Since the variable 'x' appears twice, I am going to choose to group together the terms as to create a 2nd degree trinomial:

\((x^2-8x+27)+y^2=0\)

This allows us to complete the square and factor the trinomial:

\((x^2-8x+16-16+27)+y^2=0\)

\((x^2-8x+16)+11+y^2=0\)

\((x-4)^2+y^2+11=0\)

\((x-4)^2+(y-0)^2=-11\)

This is not a valid circle equation in the real plane. It has a complex radius of:

\(r=i\sqrt{11}\)

And is centered at the point:

\((4,0)\)

Answer:

Give George brainliest!

Step-by-step explanation:

Answer:

x = 12.99

Step-by-step explanation:

Tan(33) = \(\frac{x}{20}\)

Tan(33) * 20 = x

12.99 = x

Hope this helps!

Given the information, the probability that a response is between the ages of 18 and 29 and 30 or older is, respectively, 0.536 and 0.654. There is a 0.265 percent chance that they will say yes—that global warming will affect them over their lifetime. Concern over global warming also seems to vary across people aged 18 to 29 and those over 30.

Probability is the ratio of favourable events to all other potential outcomes in a circumstance. The symbol x can be used to denote how many successful outcomes there were in an experiment with 'n' outcomes. The formula below can be used to determine a given event's probability.

Positive Results/Total Results = x/n = Probability (Event)

The likelihood that a respondent between the ages of 18 and 29 believes that there will be no significant threat from global warming in his or her lifetime is:

P (18-29 and no) = 293/(134 + 293 + 117) = 0.536

The likelihood that a respondent who is 30 years of age or older believes that there will be no significant threat from global warming in his or her lifetime is:

P (30+ and no) = 432/(131 + 432 + 178) = 0.654

The likelihood that a randomly chosen respondent will select "yes"—that is, that they will experience the effects of global warming throughout their lifetimes—is:

P(Yes) = (134 + 131)/(134 + 131 + 293 + 432 + 117 + 178) = 0.265

Yeah, it does seem that younger people (18–29) are less concerned about global warming than older people (30+). In comparison to respondents aged 18 to 29, the likelihood that a respondent aged 30 or older believes that global warming will not constitute a severe hazard during their lifetime is higher (0.654). (0.536). According to this, respondents who are older are less concerned about global warming than respondents who are younger. To confirm this difference, a formal statistical test would be required.

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The complete question is:

Do you think global warming will have an impact on you during your lifetime? A CBS News/New York Times poll of 1000 adults in the United States asked this ques- tion (CBS News website, December, 2014). Consider the responses by age groups shown below Response Age 18-29 30+Yes 134 131No 293 432Unsure a. What is the probability that a respondent 18-29 years of age thinks that global warming will not pose a serious threat during his/her lifetime?b. What is the probability that a respondent 30+ years of age thinks that global warming will not pose a serious threat during his/her lifetime? c. For a randomly selected respondent, what is the probability that a respondent answers yes? d. Based on the survey results, does there appear to be a difference between ages 18-29 and 30+ regarding concern over global warming?

The pattern is empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty.

Given that, there are 6 pails in a row. The first 3 pails are filled with water.

The easiest way to solve this problem is to empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty. This will create the desired pattern of full, empty, full, empty, full, empty.

Therefore, empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty.

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When Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include

A. 27, 22, 17, 12, 7

D. 100, 95, 90, 85, 80

It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.

Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc. In this case, when Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include 27, 22, 17, 12, 7 and 100, 95, 90, 85, 80. In this cases, there are difference of 5.

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Complete question

Jackson wrote different patterns for the rule "subtract 5". Select all of the patterns that he could have written.

27, 22, 17, 12, 7

5, 10, 15, 20, 25

55, 50, 35, 30, 25

100, 95, 90, 85, 80

75, 65, 55, 45, 35

The recursive formula for f(n) is f(n) = 4.25 + f(n - 1), f(0) = 2.25.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let f(n) represent the total cost of shoe rentals for n games, hence:

The recursive formula for f(n) is f(n) = 4.25 + f(n - 1), f(0) = 2.25.

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Answer:1 2 DNE

Step-by-step explanation:

Answer:

1

2

DNE

Step-by-step explanation:

Answer:

It takes takes them 31.67 secs to meet after Person A starts walking

OR

34.67 secs after Person B starts walking

Step-by-step explanation:

First, we will find the perimeter of the rectangle

From,

Perimeter of rectangle = 2 (\(l\) + \(b\))

Where \(l\) is the length

and \(b\) is the breadth

From the question, \(l\) = 100m

and \(b\) = 50m

Hence,

Perimeter of the rectangle = 2 (100+50)

= 2(150) = 300m

Hence, the perimeter of the rectangle is 300m

This is the total distance that will be covered by both persons by the time they meet.

Let the distance covered by person A be \(S_{1}\)

and the distance covered by person B be \(S_{2}\)

We can write that

\(S_{1}\) + \(S_{2}\) = 300m

Velocity of person A, \(V_{A}\) = 4 m/s

and velocity of person B, \(V_{B}\) = 5 m/s

From the question, Person A starts walking 3 seconds after person B,

This means, if person A spends \(t\) secs before they meet, then person B would spend (3 + \(t\)) secs.

For Person A,

Velocity = 4 m/s

Time = \(t\) secs

Distance = \(S_{1}\)

From,

\(Velocity = \frac{Distance}{Time}\)

Then,

\(Distance = Velocity \times time\)

\(S_{1} = 4 \times t\)

\(S_{1} = 4t\) ...... (1)

For Person B

Velocity = 5 m/s

Time = (t + 3) secs

Distance = \(S_{2}\)

Also, from

\(Distance = Velocity \times time\)

\(S_{2} = 5 \times (3+t)\)

\(S_{2} = 5(3+t)\) ...... (2)

Recall that, \(S_{1}\) + \(S_{2}\) = 300m

Then, \(S_{2}\) = 300m - \(S_{1}\)

We can then write that,

300m - \(S_{1}\) \(= 5(3+t)\)

Then,

\(S_{1} = 300 - 5(3+t)\) ..... (3)

Equating equations (1) and (3), we get

\(300 - 5(3+t) = 4t\)

\(300 - 15 -5t = 4t\\9t = 285\\t = \frac{285}{9}\\\)

\(t = 31.67 secs\)

This is the time spent by Person A

Hence, it takes takes them 31.67 secs to meet after Person A starts walking OR

34.67 secs after Person B starts walking

Answer:

I mistakenly rated Abdulazeez10's answer 2 stars because I thought he mixed up his variables, but I was actually the one who mixed up my variables.

Step-by-step explanation:

Sorry, Abdulazeez10 :( I can't change my rating, but just so everyone else knows, his answer is 100% correct!

Answer:

1 1/6

Step-by-step explanation:

Answer:

D) -6 meters per minute

Step-by-step explanation:

\(\mathsf{rate \ of \ change =\dfrac{change \ in \ y}{change \ in \ x}}\)

\(\implies \mathsf{rate \ of \ change =\dfrac{250-280}{5-0}=-6 \ meters \ per \ minute}\)

\(↬rate \: of \: change = \frac{change \: in \: y }{change \: in \: x}\)

\(↬rate \: of \: change = \frac{250 - 280}{5-0} = -6 \: meters \: per \: minute \)

Answer :- \(\small\bold\red{-6 \: meters \: per \: minute}\)

Answer:

Option D

Step-by-step explanation:

Measure of adjacent side = 20

Measure of Hypotenuse = 24

Since, measures of adjacent side and Hypotenuse have been given in the question, cosine ratio will be applied to find the measure of angle x.

cos(x) = \(\frac{\text{Adjacent side}}{\text{Hypotenuse}}\)

cos(x) = \(\frac{20}{24}\)

x = \(\text{cos}^{-1}(0.833)\)

  = 33.55°

  ≈ 33.6°

Option D is the answer.

The equation to represent this can be written as: 8x = 104

Let's denote the number of pieces of candy each kid will receive as "x".

Since Carleen has a total of 104 pieces of candy and she wants to distribute them evenly among 8 kids, we can set up an equation:

8x = 104

This equation represents the idea that the total number of pieces of candy (8x) should be equal to the total number of pieces Carleen has (104). By dividing both sides of the equation by 8, we can solve for x:

x = 104 / 8

Simplifying this expression, we find: x = 13

Therefore, each kid will receive 13 pieces of candy.

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Answer:

Step-by-step explanation:

1. Set up an equation

This may be a word problem, but it can definitely be set up into an equation.

For this equation, we can use x as the number.

One-third of x, or x/3

IS (which can also mean equal, =)

12 less than the number itself, x-12

When you put these together you get:
x/3=x-12

We can then solve this equation like normal.

1. Multiply both sides by 3 to cancel the division

x=3x-36

2. subtract 3x on both sides

-2x=-36

3. Now divide each side by -2 to get rid of x's coefficient

x = 18

Test: We can check ourselves to see if this is correct.

1/3 of 18 is 6.

6 is also 12 less than 18.

This proves that 18 is the number.

Answer:

56/64 simplified is 0.875 or 7/8 as a fraction

Answer:

Option A: The answer should be 10% of 6 is the correct answer.

Step-by-step explanation:

Given that:

6 students play trumpet. As they represent 10% of the total students.

Let,

x represent the number of students in the band.

10% of x = 6

By solving this, we will get the value for number of students in the band.

As x will be our answer,

The choices B, C and D are correct in the given scenario.

However,

10% of 6 cannot be the solution to the problem.

Hence,

Option A: The answer should be 10% of 6 is the correct answer.

Answer:

250

Step-by-step explanation:

everything u need is in the picture

Answer: Yes, they are mutually exclusive. You cannot have 2+ heads and 0 heads at the same time. They are not independent. The result of 2+ heads nullifies the chance that 0 heads are flipped!

Answer:

0.5

Step-by-step explanation:

(5-3)/4=2/4=1/2=0.5

Answer:

Step-by-step explanation:

For step explanation:

1. write the problem

2. distinguishing the neg sign

3. distributing 3

4. moving like terms next to each other through commutative property

5.  Combining like terms

6. getting rid of parentheses

The Probability that a randomly selected senior is both in the band and on the honor roll is 8/25.

To find the probability that a randomly selected senior is both in the band and on the honor roll, we need to divide the number of seniors who are in both categories by the total number of seniors.

Given:

Total number of seniors = 200

Number of seniors in the band = 32

Number of seniors in the band or on the honor roll = 64

Let's calculate the probability using these values:

Probability = Number of seniors in both categories / Total number of seniors

Probability = 64 / 200

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 8:

Probability = (64 ÷ 8) / (200 ÷ 8)

Probability = 8 / 25

Therefore, the probability that a randomly selected senior is both in the band and on the honor roll is 8/25.

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Answer:

A 4 side dice.

Step-by-step explanation:

Benjamin has 4 possible homerooms with the same probability. This means that every homeroom has a 1/4 = 0.25 (or 25%) probability of getting chosen.

You could emulate this situation with a 4 sided dice (are like little pyramids) where each side of the dice would represent the selection of one of the homerooms.

Download Qanda app sir!!

The points that lie on the same plane is coplanar points.

A plane is a doubly ruled surface in two dimensions that is spanned by two linearly independent vectors. A hyperplane is a generalisation of the plane to higher dimensions. The dihedral angle is the angle formed by two intersecting planes.

For points to be parallel then the points must arrange in the form that the distance between the points should be same apart, vertically.

So, the points are not parallel.

If any geometric shape, such as a line or point, lies on the same plane, that shape is said to be coplanar. They are referred to as non-coplanar if not.

Thus, the given points are coplanar

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Answer:

9

(i hope this helped!)

Answer:

The answer is 9.

Step-by-step explanation:

45-6=39-6=33-6=27-6=21-6=15-6=9.

The intersection of the set of integers and multiples of 5 will be (5,15).

What exactly are integers?

In mathematics, integers are the collection of positive and negative numbers. Integers, like whole numbers, do not include the fractional element. Thus, integers are numbers that can be positive, negative, or zero, but not fractions. On integers, we can do all arithmetic operations such as addition, subtraction, multiplication, and division. Integers include numbers such as 1, 2, 5, 8, -9, -12, and so on. "Z" is the symbol for integers.

Now,

Odd Integers between 0 and 20=1,3,5,7,9,11,13,15,17,19

Multiples of 5 between 0 and 35=5,10,15,20,25,30,35

Then the common integers are=5,15

Hence,

          The intersection of the set of integers multiples of 5 will be (5,15).

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Answer:

Step-by-step explanation:

We can use the formula for the future value of an annuity to determine how much Marcia needs to invest today to meet her retirement goal of $90,000. The formula for the future value of an annuity is:

FV = PMT x [(1 + r/n)^(n*t) - 1] / (r/n)

where:

FV = future value of the annuity

PMT = payment (or deposit) made at the end of each compounding period

r = annual interest rate

n = number of compounding periods per year

t = number of years

In this case, we want to solve for the PMT (the amount Marcia needs to invest today). We know that:

Marcia wants to retire in 15 years (when she is 65), so t = 15

The interest rate is 10% per year, compounded semiannually, so r = 0.10/2 = 0.05 and n = 2

Marcia wants to have $90,000 in her retirement account

Substituting these values into the formula, we get:

$90,000 = PMT x [(1 + 0.05/2)^(2*15) - 1] / (0.05/2)

Simplifying the formula, we get:

PMT = $90,000 / [(1.025)^30 - 1] / 0.025

PMT = $90,000 / 19.7588

PMT = $4,553.39 (rounded to the nearest cent)

Therefore, Marcia needs to invest $4,553.39 today in order to meet her retirement goal of $90,000, assuming an interest rate of 10% per year, compounded semiannually.