A cruise ship traveled to Tahiti and back.
On the trip there it traveled 10 mph and on
the return trip it went 15 mph. How long
did the trip there take if the return trip
took eight hours?

To find the least possible value of a/b + c, we need to consider the smallest values for a, b, and c from the set {3, 5, 7, 9}. So the least possible value of a/b + c is expressed as the fraction 16/3.

The smallest number in the set is 3. For a fraction to be as small as possible, we want the numerator to be as small as possible and the denominator to be as large as possible.

Thus, we choose a = 3.

Next, we want the denominator b to be as large as possible. From the set {3, 5, 7, 9}, the largest value is 9. Finally, for the remaining number c, we choose the next smallest number, which is 5.

Now we can calculate the expression: a/b + c = 3/9 + 5 = 1/3 + 5 = 1/3 + 15/3 = 16/3. Therefore, the least possible value of a/b + c is expressed as the fraction 16/3.

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There are total 95040 number of different groups of 5 items can be selected from 12 distinct item.

According to the given question.

Total number of items, n = 12

Total numbers of items to be selected, r = 5

Since, we have to determine the number of different groups of 5 items that can be selected from 12 distinct items. So, we will find the number of different groups by permulation formula i.e.

\(^{n} P_{r} = \frac{n!}{(n-r)!}\)

Where,

\(^{n} P_{r}\) is the total number of permutations.

n is the total number of objects.

r is teh total number of objects to be selected.

Therefore,

The number of different groups or permutaions of 5 items that can be selected from 12 distinct group

\(^{12} P_{5}\)

\(= \frac{12!}{(12-5)!}\)

\(= \frac{12!}{7!}\)

\(= \frac{12\times11\times10\times9\times8\times7!}{7!}\)

= 12 × 11 × 10 × 9 × 8

= 95040

Hence, there are total 95040 number of different groups of 5 items can be selected from 12 distinct item.

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The answer is true. A random variable is a variable whose value is subject to variations due to chance. The variance of a random variable measures how spread out its values are.

It is a measure of the average distance between the values of the variable and its expected value. In this case, V(cX) represents the variance of a new random variable obtained by multiplying X by a constant c. According to the properties of variance, V(cX) = c^2 V(X). Therefore, the equation V(cX) = 4V(X) can be rewritten as c^2 V(X) = 4V(X).
Dividing both sides of the equation by V(X), we get c^2 = 4. Taking the square root of both sides, we obtain c = 2 or c = -2. However, since c represents a scaling factor, we can disregard the negative solution. Therefore, c must be 2.
In conclusion, if V(cX) = 4V(X), then c must be 2. This result shows that multiplying a random variable by a constant affects its variance by the square of that constant.

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Answer:

A

Step-by-step explanation:

i want it now

Answer:

400

Step-by-step explanation:

\( {20}^{2} = 20 \times 20\)

that is equal to 400

Answer: 400

Step by step explanation:

20*20= (2*2)*(10*10)= 4*100=400

The triangles AEB and DEC describes AA similarity .

What is AA Similarity ?

Two triangles are said to be congruent by AA Similarity when two angles in one triangle are congruent to two angles in another triangle .

In the question ,

a figure is given .

in triangle AEB and triangle DEC ,

we can see that ,

∠AEB ≅ ∠DEC    ,   because they are vertically opposite angles .

On rotating triangle CED by  180° around the point E, then the translate point D to point A confirms  ∠EAB ≅ ∠EDC.

Since two angles are Congruent

So , By AA Similarity , triangles AEB and DEC are Congruent .

Therefore , the triangles AEB and DEC are Congruent .

The given question is incomplete , the complete question is

Which of the following triangles in the given figure describes AA similarity ?

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Answer:

The answer is 210 men work at the factory and 410 woman work at the factory.

Step-by-step explanation:

Because 630 divided by 3 is 210, so 210 multiplyed by 2 get you 420 which 2/3 of the employees that are woman so 210 men work at the factory.

:)

Answer: 210

Step-by-step explanation:

If (3/3) = 360 and 2/3 are women, then:

360 (1/3) = 210

There are 210 men who work at the factory.

Answer:

49

Step-by-step explanation:

Step-by-step explanation:

perimeter = sum of all sides of figure

perimeter = 18cm + 18cm + 8cm + 18cm + 30cm + 18cm + 18cm + 4cm

perimeter = 132cm

plz follow me

Answer:

a. 94.444 m/s

b. 0.001 s

Step-by-step explanation:

#a

#b

Answer:

|---|--------|---------|------|---------|-|

-2 ¾   -3 ⅕    0.75  1.5       6.8

(This is a rough answer, it mainly just shows the order).

Step-by-step explanation:

1. -2 ¾

2. -3 ⅕

3. 0.75

4. 1.5

5. 6.8

Answer:

11:51

Step-by-step explanation:

A quarter to 10 is 9:45. If it take 2 hours and 6 mins to get to Madrid the train should arrive in Madrid at 11:51.

9:45+2 hours would be 11:45. 11:45+6 mins is 11:51.

Answer:

4 = 22

Step-by-step explanation:

Factor 40 into its prime factors

          40 = 23 • 5

To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.

Factors which will be extracted are :

          4 = 22

Factors which will remain inside the root are :

          10 = 2 • 5

To complete this part of the simplification we take the squre root of the factors which are to be extracted. We do this by dividing their exponents by 2 :

          2 = 2

At the end of this step the partly simplified SQRT looks like this:

        2 • sqrt (10x4)  

Rules for simplifing variables which may be raised to a power:

  (1) variables with no exponent stay inside the radical

  (2) variables raised to power 1 or (-1) stay inside the radical

  (3) variables raised to an even exponent: Half the exponent taken out, nothing remains inside the radical. examples:

     (3.1) sqrt(x8)=x4

    (3.2) sqrt(x-6)=x-3

   (4) variables raised to an odd exponent which is  >2  or  <(-2) , examples:

     (4.1) sqrt(x5)=x2•sqrt(x)

    (4.2) sqrt(x-7)=x-3•sqrt(x-1)

Applying these rules to our case we find out that

     SQRT(x4) = x2

  sqrt (40x4) =

       2 x2 • sqrt(10)

Simplified Root :

2 x2 • sqrt(10)

Answer:

Step-by-step explanation:

1 yard = 3 feet

1 mile = 5280 feet

1 mile = 1760 yards   ...    (5280 ft/mi)/(3 ft/yd) = 1760 yd/mi

Answer:

2

Step-by-step explanation:

4x^3 + 2 = 34

4x^3 = 32

x^3 = 8

x=2

9514 1404 393

Answer:

  x = 1

Step-by-step explanation:

The axis of symmetry is the vertical line halfway between the zeros.

  x = (4 -2)/2

  x = 1 . . . equation of axis of symmetry

Answer:

|14.1-(-5.2)|

Step-by-step explanation: I took the test  :>

The correct expression in the box is | 14.1 - ( - 5.20) |.

A number line is a horizontal line in which we represents all he real numbers which includes all rational and irrational numbers.

According to the given question we have to find an expression which represents the distance between 14.1 and - 5.20 in the number line.

We know to find the distance between two numbers we subtract the smaller number from the bigger number.

Here the larger number is 14.1 and the smaller number is - 5.20.

∴ { 14.1 - ( - 5.20) }

= 14.1 + 5.20

= 19.3.

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AB and YX are corresponding sides, BC and XZ are corresponding sides, and AC and YZ are corresponding sides of given triangle.

What is triangle?

A triangle is a two-dimensional geometric shape that has three sides, three angles, and three vertices. It is one of the simplest polygonal shapes and is commonly studied in geometry.

Since we have:

∠A ≅ ∠Y

∠B ≅ ∠X

∠C ≅ ∠Z

We can conclude that the two triangles ABC and XYZ are similar by the Angle-Angle (AA) similarity theorem.

Therefore, the corresponding sides of the two triangles are proportional to each other. We can write this as:

AB : YX = BC : XZ = AC : YZ

where AB and YX are corresponding sides, BC and XZ are corresponding sides, and AC and YZ are corresponding sides.

In other words, the ratio of the length of each side in triangle ABC to the corresponding side in triangle XYZ is constant.

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Answer:

3570

Step-by-step explanation:

the current monthly rent is 4200.

now, decreasing it by 15% means to reduce it, to subtract 15% from it.

4200 = 100%

42 = 1%

15% = 42 × 15 = 630

so, the new rent is 4200 - 630 = 3570

The number of bananas are 6 and the number of peaches are 4.

What is system of equations?

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, also known as a system of equations or an equation system.

Given:

Hua and her children went into a grocery store and she bought $9

worth of bananas and peaches.

Each banana costs $0.50 and each

peach costs $1.50. She bought a total of 10 bananas and peaches altogether.

Let

B = number of bananas

P = number of peaches

0.5 * B = cost of number of bananas purchased

1.5 * P = cost of number of peaches purchased

So,

B + P = 10                 ..(1)

0.5B + 1.5P = 9         ..(2)

From equation (1),

B = 10 - P        ..(3)

Plug value of B in equation (2),

0.5(10 - P) + 1.5P = 9

5 - 0.5P + 1.5P = 9

5 + P = 9

P = 4

Plug P = 4 in equation (3)

B = 10 - 4

B = 6

Hence, the number of bananas are 6 and the number of peaches are 4.

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Answer:

W(2) = 5

Step-by-step explanation:

Because when you look at the graph, the y value is 5 when the x value is 2.

Answer:

w(2) = 5

Step-by-step explanation:

by using rise over run to find the slope easily, you get a slope of 4 and an equation of w(x) = 4x - 3, -3 being the y-intercept

to calculate w(2):

w(2) = 4(2) - 3

w(2) = 8 - 3

w(2) = 5

or you could just look at when y is 2 and see that the corresponding x value is 5 but i wanted to provide a longer explanation in case :)

Anything that strengthens a response or increases the probability that it will occur is called a "reinforcer". A reinforcer can be anything that the individual finds rewarding or motivating, such as praise, a high five, a tangible reward, or a positive experience.

The use of reinforcers is a common technique in behavior modification and is often used in educational and therapeutic settings. By identifying and providing reinforcers for desired behaviors, individuals can be motivated to continue those behaviors, which in turn increases the probability of success. Reinforcement can also be used to shape new behaviors, by gradually reinforcing steps towards the desired behavior until the full behavior is achieved. In summary, reinforcement is a powerful tool for increasing the probability of desired behaviors and can be used in a variety of settings to improve outcomes.

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The  temperature in parts of Minnesota fell at an average rate of 1.17°F per hour during this 24-hour period.

To find the average temperature change per hour, we need to divide the total change in temperature by the time period over which the change occurred.

The change in temperature is:

41°F - 13°F = 28°F

The time period over which the change occurred is 24 hours.

Therefore, the average temperature change per hour is:

28°F / 24 hours = 1.17°F/hour (rounded to two decimal places)

So the temperature in parts of Minnesota fell at an average rate of 1.17°F per hour during this 24-hour period.

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Answer:

$735.264

Step-by-step explanation:

First, we need to find 8% of the total payment of the TV:

8% of $799.20

\(\frac{8}{100}\) x $799.20

= $63.936

Finally, subtract $63.936 from $799.20:

= $735.264.

Therefore, if I bought a TV and the tax rate is 8% and the total payment of the TV is $799.20, the before tax of the TV is $735.264.

Answer:

m = -3/4

Step-by-step explanation:

Slope = M

Answer:

1231.50432 \(m^{2}\)

Step-by-step explanation:

A=2πrh+2π\(r^{2}\)

h = 21 m

r = 7 m

A = 2π(7)(21) + 2π(\(7^{2}\))

A = 1231.50432 \(m^{2}\)

(a) The probability that he is a smoker is 0.3.

(b) The probability that he does not have lung disease is 0.86.

(c) The probability that he has lung disease given that he is a smoker is 0.1667.

(d) The probability that he has lung disease given that he doesn't smoke is 0.0571.

We can use the joint probabilities in the table to calculate the probabilities of the events given,

               Smoker Non-smoker

Lung dis.      0.1 0.04

No lung      0.2 0.66

a) The probability that the man is a smoker is the sum of the joint probabilities where smoking is true, i.e., P(smoker) = P(smoker, lung dis.) + P(smoker, no lung) = 0.1 + 0.2 = 0.3.

b) The probability that the man does not have lung disease is the sum of the joint probabilities where lung disease is false, i.e., P(no lung) = P(smoker, no lung) + P(non-smoker, no lung) = 0.2 + 0.66 = 0.86.

c) The probability that the man has lung disease given that he is a smoker is calculated using Bayes' theorem,

P(lung dis. | smoker) = P(smoker | lung dis.) * P(lung dis.) / P(smoker)

We already know that P(smoker) = 0.3 and P(lung dis.) = 0.1, and we can read from the table that P(smoker | lung dis.) = 0.5. Substituting these values, we get,

P(lung dis. | smoker) = 0.5 * 0.1 / 0.3 = 0.1667.

d) The probability that the man has lung disease given that he does not smoke is also calculated using Bayes' theorem,

P(lung dis. | non-smoker) = P(non-smoker | lung dis.) * P(lung dis.) / P(non-smoker)

We already know that P(non-smoker) = 0.7 and P(lung dis.) = 0.1, and we can read from the table that P(non-smoker | lung dis.) = 0.4. Substituting these values, we get,

P(lung dis. | non-smoker) = 0.4 * 0.1 / 0.7 = 0.0571.

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the magnitude of the magnetic field at the point p which is equidistant from the wire is 170.833*10^-7

Given ,

Current = 4.10 I

Resistance = 4.80cm = 0.048m

Constant = 4π*10^-7 h/m

To determine magnetic field

B=μ*I / 2πR

= 4π*10^-7 * 4.10  /  2π * 0.048

=8.20*10^-7 / 0.048

= 170.833*10^-7

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The exact x-coordinate of the point  is frac{1163}{291}6

The curve is given by {x = t² + 1, y = t² - t}.

Let's find dy/dx in terms of t as follows:

frac{dy}{dx} = frac{dy/dt}{dx/dt} = frac{(2t - 1)}{(2t)} = 1 - frac{1}{2t}

Therefore, when dy/dx = 27, we have:

1 - frac{1}{2t} = 27

Rightarrow 2t - 1 = frac{2}{27}

Rightarrow t = frac{29}{54}

The x-coordinate is given by x = t² + 1, therefore, we have:

x = left(frac{29}{54}right)^2 + 1

= frac{1163}{2916}

Hence, the exact x-coordinate of the point on the curve where the tangent line has slope 27 is frac{1163}{291}6

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