Ferris wheel has a diameter of 60 ft. How far will a rider travel during a 5 minute ride if the wheel rotates once every 15 seconds?

Answer:

(a)The probability that a person 65 or over and has a loan is 0.052.

(b)The probability that a person 65 or over and has a loan is 0.476

(c) The probability that a person is 65 or over and has a loan independent is 0.0952

Step-by-step explanation:

Conditional probability:

Let A and B any two event is connected to a given random experiment E. The conditional probability of the event A on the hypothesis that the event B is occurred, denoted by P(A|B), is defined as,

[tex]P(A|B)=\frac{P(A\cap B)}{P(B)}[/tex]

So, P(A∩B) = P(B).P(A|B)

Given that,

The age of 20% of population are 65 years or over.

26% of those whose age 65 years or more have loans.

53% of those whose age under 65 years have loans.

E= the person is 65 or more.

F= the person has loan.

P(E)= 20%=0.2

P(F|E)=26%=0.26

P(F|E')=53%=0.53

So,

P(E')=1-0.2=0.8

P(F'|E)= 1-0.26=0.74

P(F'|E')= 1-0.53=0.47

(a)

The probability that a person 65 or over and has a loan is

=P(E∩F)

=P(F|E).P(E)

=0.26×0.2

=0.052

(b)

A person who has a loan either 65 or more , or under 65.

P(F)= P(F∩E)+P(F∩E')

     =P(F∩E)+P(E').P(F|E')

     = 0.052+ (0.8).(0.53)

     =0.476

(c)

Independent event:

If A and B are two independent event,

Then,P(A∩B)=P(A).P(B)

The probability that a person is 65 or over and has a loan independent is

=P(E∩F)

=P(E).P(F)

=(0.2)×(0.476)

=0.0952  

The probability that a person is 65 or over and has a loan is 0.052, the probability that a person has a loan is 0.476, and the probability that a person is 65 or over and that the person has a loan independent is 0.0952.

Given :

Suppose 20% of the population are 65 or over, 26% of those 65 or over have loans, and 53% of those under 65 have loans.

Let A represent the person who is 65 or more and B represents the person who has a loan.

If (P(A) = 20% = 0.2) then (P(A') = 1 - 0.2 = 0.8)

If (P(B|A) = 26% = 0.26) then (P(B'|A) = 1 - 0.26 = 0.74)

If (P(B|A') = 53% = 0.53) then (P(B'|A') = 1 - 0.53 = 0.47)

a) The probability that a person is 65 or over and has a loan is:

[tex]\rm = P(A\cap B)[/tex]

[tex]\rm = P(B|A)\times P(A)[/tex]

[tex]=0.26\times 0.2[/tex]

= 0.052

b) The probability that a person has a loan is:

[tex]\rm P(B) = P(A\cap B)+P(B\cap A')[/tex]

        [tex]\rm = P(B \cap A)+P(A')\times P(B|A')[/tex]

        [tex]=0.52+0.8\times 0.53[/tex]

        = 0.476

c) The probability that a person is 65 or over and that the person has a loan independent is:

[tex]= \rm P(A\cap B)[/tex]

= P(A).P(B)

= (0.2)[tex]\times[/tex](0.476)

= 0.0952

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Answer:

boat rent: $40/per person

Life preserver: $5/per person

Step-by-step explanation:

120 ÷ 3 = 40

135 ÷ 3 = 45

45 - 40 = 5

Answer:

17 1/2 months or rounded up to 18

Step-by-step explanation:

so first you need to set up an equation,

lets do company Q first..

because the monthly fee is 3 bucks thats gonna be the number that goes hand in hand with x so lets put that down

Q - 3x

now we have to add our one time fee of 25 dollars

Q - 3x + 25 .. bam thats our first equation

lets do the same thing for our next company

W - x + 60

( because the fee is one dollar, theres no reason to put 1x, its not mathematically correct, so we just leave it as x )

so now we have to set up the equation together, and because we are trying to find when the two will meet and have an EQUAL cost we make them equal to each other

so

3x + 25 = x + 60

if you solve it...

2x + 25 = 60

2x + 35

x = 17.5

Answer: e) 6

Step-by-step explanation:

Let x be mother + children = 18

Father's age = 38

Average age of the family = 14

38 + 18x /( x + 1 )= 14

Opening the bracket

38 + 18x = 14x + 14

Collecting like terms

24 = 4x

x = 6

no of children in the family is 6.

Answer:

A

Step-by-step explanation:

The equation must equal 50 and the 4 should be added not multiplied

Answer:

  (0, 2) and (3, 4)

Step-by-step explanation:

The equation is in slope-intercept form:

  y = mx +b . . . . . a line with slope m and y-intercept b

So, you know immediately that the y-intercept is (0, 2). This matches only one answer choice.

  (0, 2) and (3, 4)

Answer:

you should  by 18 eggs at the second price.

Step-by-step explanation:

my reason being is that if you buy it for the second price you will get two for the price of one which will be $0.97cents.

Answer:

Answer: you should  by 18 eggs at the second price. Step-by-step explanation: my reason being is that if you buy it for the second price you will get two for the price of one which will be $0.97cents.

Step-by-step explanation:

Answer: you should  by 18 eggs at the second price. Step-by-step explanation: my reason being is that if you buy it for the second price you will get two for the price of one which will be $0.97cents.

Answer:

x=16

Step-by-step explanation:

you add all the 4s from the second step and get a product of 16.

The question simplifies a power raised to a power, (5^4)^4. Whereby, the rule is to multiply the exponents. Therefore, x in our simplified expression 5^x, equals 16.

Let's simplify this (power raised to a power): (54)4.

 So, the simplified form is: 516  

Therefore, the value of x in the simplified power is 16.

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Answer:

(2,9)

Step-by-step explanation:

It's on khan

The missing value is 9 in the solution to the given equation y = 2x + 5.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The equation is given in the question

y = 2x + 5 ....(i)

The one value is 2 in the solution to the equation

To determine the missing value, we have to substitute the value of x = 2 in the given equation.

As per the question, we have

⇒ y = 2x + 5

⇒ y = 2(2) + 5

Apply the multiplication operation,

⇒ y = 4 + 5

Apply the addition operation,

⇒ y = 9

Therefore, the missing value is 9 in the solution to the given equation.

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The question seems to be incomplete the correct question would be

y = 2x + 5 Complete the missing value in the solution to the equation. (2, [] )

Question;

Assumption:

Let us assume Brandon's running speed is = 18.30 and

Ruben's running speed is = 16.50 and

Answer:

The two equations that can represent the relationship between the meters and second for Brandon and Ruben are;

Brandon → Y₁ = 18.3·X₁ and

Ruben → Y₂ = 16.5·X₂

Step-by-step explanation:

The equation is of the form

Y = 17.45·X

That is Amy ran Y meters in X seconds

Therefore we have

[tex]17.45 = \frac{Y}{X}[/tex] or the value 17.45 is the running speed of Amy

Therefore, where the running speed of Brandon is 18.30  and the running speed of Ruben is 16.50  we have

Y meters ran by Brandon in X seconds given by

Y₁ = 18.3·X₁ and

For Ruben we have Y meters ran in X seconds given by

Y₂ = 16.5·X₂.

Answer:

Brandon : Y = BX, where B is the speed (positive integer) and X is the time in seconds.

Ruben : Y = RX, where R is the speed (positive integer) and X is the time in seconds.

Step-by-step explanation:

For Amy, the relationship between the distance run and the time taken is represented by the equation Y equals 17.45X, where she ran Y meters in X seconds.

Therefore we have,

Y = 17.45X

Y/X = 17.45 m/s, where m/s is meter per second.

Let us assume that the speed for Brandon is represented by B and that of Ruben is represented by R.

For Brandon, we obtain Y/X = B m/s

Y = BX

For Ruben, we obtain Y/X = R m/s

Y = RX

High School Mathematics 5+3 pts

The relationship between the distance run and the time for Amy can be represented by the equation Y equals 17.45X, where she ran Y meters in X seconds.

Should be 5,100 from the information that is given.

Answer: 5,100 meters

Answer:B is the Answer

Step-by-step explanation:

Answer:

a)   0.71

b)   0.9863

Step-by-step explanation:

a. Given the mean prices of a house is $403,000 and the standard deviation is $278,000

-The probability the probability that the selected house is valued at less than $500,000 is obtained by summing the frequencies of prices below $500,000:

[tex]P(X<500,000)=P(X=0)+P(X=500)\\\\=0.34+0.37\\\\=0.71[/tex]

Hence, the probability of a house price below $500,000 is 0.71

b. -Let X be the mean price of a randomly selected house.

-Since the sample size 40 is greater than 30, we assume normal distribution.

-The probability can therefore be calculated as follows:

[tex]P(X<x)=P(z<\frac{\bar X-\mu}{\sigma/\sqrt{n}})\\\\P(X<500,000)=P(z<\frac{500-403}{278/\sqrt{40}})\\\\=P(z<2.2068)\\\\\\=0.9863[/tex]

Thus, the probability  that the mean value of the 40 houses is less than $500,000 is 0.9863

Answer:

11/100

Step-by-step explanation:

Answer:

27π

Step-by-step explanation:

trust me, it's right lol

Answer:

0.35 is the mean of the sampling distribution of the proportion.

Step-by-step explanation:

We are given the following in the question:

Percentage of voters who voted for recall = 35%

[tex]p = 35\% = 0.35[/tex]

Sample size, n = 3150

We have to find the mean of the sampling distribution.

Formula for mean of sampling distribution:

[tex]\mu = p[/tex]

Putting values, we get,

[tex]\mu = 0.35[/tex]

Thus, 0.35 is the mean of the sampling distribution of people sampled in an exit poll who voted for the recall.

The length of KM on the quadrilateral would be 18 units .

Using the following Information from the quadrilateral;

The sides JM and KL are parallel , This means that :

The length of the diagonals of the quadrilateral would be the same .

From the question ;

JL = 18

Then ;

KM = 18

Hence, the length of KM would be ; 18 units .

Answer:

n = − 14

Step-by-step explanation:

-3(n+5)=27

-(3n+3·5)=27

-(3n+15)=27

Please mark me brainliset if this helped (I need it)

Answer: n=4

Step-by-step explanation:

Answer:

1 drink/$1.50

Step-by-step explanation:

you have to find the cost of each drink by dividing the money raised by the number of drinks sold

223.50/149=

1.50

Answer:

Step-by-step explanation:

Find the unit cost:

 $223.50

------------------ = $1.50/drink

 149 drinks

Then y = revenue from sales of drinks = ($1.50/drink)(number of drinks).

The constant of proportionality is $1.50/drink.

Answer:

C. 12/30

Step-by-step explanation: 2/5 for every 5 days and there are 30 days in September so there is already 2/5 so 5 days are already in place so add 2 to the 2/5 and 5 to the 2/5 on their corresponding numbers until the five reaches thirty then the 2 will reach 12. Happy to Help.

Step-by-step explanation:

Given the blueprints of a house show that a wall is 3.5 inches long.

Length of the wall = 3.5 inches

Mpa scale used in blue print is,

1.5 inches = 3 feet

Such that 1 inch = 2 feet

Length of the wall = 3.5 inches = 3.5 * 2 = 7 feet

The length of the actual wall = 7 feet

Answer:

c+20=72

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Total letters in word 'COUNTING'=8

Number of vowels in word 'COUNTING'=3(O,U,I)

Total letter in word 'PRIME'=5

Number of consonants in word 'PRIME'=3(P,R,M)

We have to find the total number of outcomes.

Number of choice for O=3(P,R,M)

Number of choice for U=3(P,R,M)

Number of choice for i=3(P,R,M)

Number of outcomes of choosing a vowel from the word 'COUNTING' and a consonant from the word 'PRIME'=3+3+3

Total number of outcome=9

Answer:

UT = 15

Step-by-step explanation:

Its okay this was a hard one to know. since its a 90 degrees angle you can use the Pythagorean theorem.

A^2 + B^2 =C^2

but in this case they give you c and as for b

so it be C^2 - A^2 = B^2

17^2 - 8^2 = B^2

289 - 64 = B^2

225 = B^2

now you square both sides getting B = [tex]\sqrt{225}[/tex]

Answer:

AC = 215,000 km

Step-by-step explanation:

I've attached a diagram that depicts this 3 moons and the planet in regards to their positions.

We need to find the distance AC as shown in the image.

We are given that AM and NC = 100,000 km

And diameter; MN = 15,000km

Thus,AC = MN + NC

AC = 15000 + 100,000 + 100000 = 215,000 km

Answer:

The weight of the brick is 60 ounce to the nearest ounce

Step-by-step explanation:

In this question, we are asked to calculate the weigh of Lou’s brick given the dimensions of the shape of the brick and the weight of the clay.

To answer this question quite aptly, we need to know exactly the volume of the rectangular prism given the dimensions we have in the question.

To calculate this volume , we simply use the measurements we have to get it.

mathematically the volume of a rectangular prism is simply V = w * h * l

where w , h and l are width, height and length respectively.

now let’s calculate!

V = 3.5 * 2.25 * 8 = 63 inches^3

Now we need to know what the brick weigh in ounce. We already have the weight of the clay. now this is equal to the volume of the brick divided by the weight of the clay.

Mathematically this is = 63/1.055 = 59.72 ounce which is 60 ounce to the nearest ounce

Answer:

60 ounce

Step-by-step explanations:

The volume of a rectangular prism is length multiplied by width and the height.

And if the width is 3.5 inches

Length is 8 inches

Height of 2.25 inches

V = 2.25 × 8 × 3.5

= 63 in³

And since the clay weighs 1.055 oz/in³,the total weight of the clay brick will be derived by dividing the volume of the brick by its weight per in³

63/1.055

= 59.7 and to the nearest whole number = 60 ounce

Answer:

(B)  median because there is an outlier

Step-by-step explanation:

The given data is as follows:

{1, 4, 9, 4, 10, 8, 42}

We can see from the given data that 42 is a data point which differ greatly from the other data points, and from the definition of OUTLIER that is a data point that differ greatly from the trend expressed by the other values in the data set.

Thus, 42 is an outlier.

Now, We have to find the center for the given data set, thus we will use the median as the definition of median states that median is the middle value of the data set.

Therefore, the best measure to find the center of the given data will be median because there is an outlier 42 present in it.

Thus, option B is correct.

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Step-by-step explanation:

Answer:

∠ b = 23°

Step-by-step explanation:

Complementary angles sum to 90°, thus

∠ a + ∠ b = 90°, that is

67° + ∠ b = 90° ( subtract 67° from both sides )

∠ b = 23°

Answer:

Step-by-step explanation:

The value of t must not be one that makes the denominator zero, hence must not be 8.

Answer:

The answer is 14 hits!

Step-by-step explanation:

This is because of dividing 28 by 8: so you get 3.5. Use the 3.5 and times it by the amount of hits: which is 4. Then BOOM, you got yourself 14 hits!