Boy Scouts spent 10/12 hour doing their daily exercises. they only used 1/4 hour in hiking. how much time did they use for other body exercises?​

Answer:0.9306

Step-by-step explanation:

Given

Probability of winning \(p=0.632\)

Probability of losing \(q=0.368\)

Such that \(p+q=1\)

Applying binomioal distribution for n=10 trials

Probability of winning no more than 8 time=P

\(P(r\leq 8)+P(r>8)=1\)

\(P(r\leq 8)=1-P(r>8)\)

\(P(r\leq 8)=1-^{10}C_9(p)^9(q)-^{10}C_{10}(p)^{10}(q)^0\)

\(P(r\leq 8)=1-^{10}C_9(0.632)^9(0.368)-^{10}C_{10}(0.632)^{10}(0.368)^0\)

\(P=P(r\leq 8)=0.9306\)

Answer:

\(y-2=3(x-4)\)

Step-by-step explanation:

We are given a line contains the point (4, 2).

We also know that the line is parallel to y= 3x - 7.

We want to write the equation of this line.

Parallel lines have the same slopes.

First, let's find the slope of y = 3x - 7.

3 is in the place of where m (the slope) is, so that means it is the slope of that line.

It is also the slope of the line whose equation we want to write.

The equation of the line can be written in three ways:

All of these ways are valid, but for this problem, let's write the equation in point-slope form, as it is the easiest.

Substitute 3 as m in \(y-y_1=m(x-x_1)\).

\(y-y_1=3(x-x_1)\)

Now, substitute 4 as \(x_1\) and 2 as \(y_1\).

\(y-2=3(x-4)\)

Topic: parallel and perpendicular lines

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Answer:

$748.42

Step-by-step explanation:

The average rent per capita is used to measure the average rent paid by a group of people in an apartment or an area. The rent per capita estimates the average rent charged for each resident. It is ratio of the total rent paid by the people in the area to the number of residents. Hence:

The average rent per capita = Total rent / number of residents = $158000 / 211 residents = $748.42

The angle of rotation for the described transformation is

The movement or transformation described is form quadrant 4 to quadrant  2.

The transformation will require 180 degrees transformation.

In this type of transformation, both clockwise and the counter clockwise have similar effects

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Answer: 80

Step-by-step explanation:

You have 120 miles in one and a half hour

120÷1 1\2 =80 is your speed

Here's the link to the answer:

https://riverside.rocks/index.php

The Length of the rod is 3/5 meters.

The civil engineer wants to find the length of a rod that stretches for 1 meter and can be given by the function x=2y^(3/2).

To find the length of the rod, we need to integrate the function x=2y^(3/2) with respect to y. Integrating both sides of the equation,

we have:'int dx = int 2y^(3/2) evaluating the left-hand side gives x = 2/5 y^(5/2) + C, where C is the constant of integration. To find the value of C,

we use the given information that the rod stretches for 1 meter. At y = 0, x = 0 since the rod has no length when it is not stretched. At y = 1, x = 1 since the rod stretches for 1 meter.

Therefore, we have:1 = 2/5 (1)^(5/2) + C1 = 2/5 + CC = 3/5 Substituting C = 3/5 back into the equation for x,

we have:x = 2/5 y^(5/2) + 3/5

The length of the rod is given by the value of x when y = 1. Substituting y = 1,

we have:x = 2/5 (1)^(5/2) + 3/5 = 3/5

The length of the rod is 3/5 meters.

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The solution is Option B.

The percentage increment in the preference for  Enterprise Content Management is given by the equation A = 366 %

The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.

Percentage error is the difference between the measured value and the true value , as a percentage of the true value

Percentage Error = [ ( | Measured Value - True Value | ) / True Value ]x 100

Given data ,

Let the percentage increment be represented as A

Now , the equation will be

The number of 41+ year olds having a preference for Enterprise Content Management = 3,215

The number of 18-25 year olds having a preference for Enterprise Content Management = 690

So , the difference in number of preference = 3,215 - 690

On simplifying the equation , we get

The difference in number of preference = 2,525

And , the percentage increase A = ( difference in number of preference / number of 18-25 year olds having a preference for Enterprise Content Management ) x 100

Substituting the values in the equation , we get

The percentage increase A = ( 2525/690 ) x 100

The percentage increase A = 3.659 x 100

The percentage increase A = 366 %

Therefore , the value of A is 366 %

Hence , the percentage increment is 366 %

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Answer:

To find the height of the building, we can use the following formula:

height = y(d-x)/x

Substituting the given values, we get:

height = 6(6-3)/3

height = 6(3)/3

height = 6 meters

Therefore, the height of the building is 6 meters.

Answer:

im study about history it was my favourite subject!

Answer:

The length of the arc ADB is (8/3)π ft and the area of the shaded region is 4.5 ft^2 - 4π ft^2.

Step-by-step explanation:

In the given circle with center O and radius 3 ft, let's consider the angle AOB, which is given as 160°. We need to find the length of the arc ADB and the area of the shaded region.

To find the length of the arc ADB, we can use the formula for the circumference of a circle and calculate the fraction of the total circumference represented by the angle AOB.

The circumference of a circle is given by 2πr, where r is the radius. In this case, the radius is 3 ft. Therefore, the total circumference is 2π(3) = 6π ft.

To find the length of the arc ADB, we calculate the fraction of the total circumference represented by the angle AOB. Since the angle AOB is 160° out of 360°, the length of the arc ADB is (160/360) * 6π ft = (4/9) * 6π ft = (8/3)π ft.

Next, to find the area of the shaded region, we need to subtract the area of the sector AOB from the area of triangle AOB. The area of the sector AOB is (160/360) * π * (3)^2 = (4/9) * 9π = 4π ft^2. The area of triangle AOB is (1/2) * 3 * 3 = 4.5 ft^2.

Therefore, the area of the shaded region is 4.5 ft^2 - 4π ft^2 = 4.5 ft^2 - 4π ft^2.

In summary, the length of the arc ADB is (8/3)π ft and the area of the shaded region is 4.5 ft^2 - 4π ft^2.

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Answer:

x=11

Step-by-step explanation:

the question would be to find x

3x + 28 + 5x + 52 + 2x - 10=180 (sum of angles in a triangle is equal to 180⁰)

10x + 70=180

10x=180-70

10x=110

x=110/10

x=11

Answer:

They will meet in 7 hours.

Step-by-step explanation:

They are traveling toward each other, which means that their relative speed is the sum of their speeds.

Bill travels 20 mph and Michael travels 14 mph

This means that their relative speed is of 20 + 14 = 34 mph, that is, they get 34 miles closer each hour.

Michael and Bill are 238 miles apart, how long until they meet?

Each hour, they will be 34 miles closer. How many hours for 238 miles?

1h - 34 miles

x h - 238 miles

By rule of three

\(34x = 238\)

\(x = \frac{238}{34} = 7\)

They will meet in 7 hours.

Answer:

D) A search warrant

Step-by-step explanation:

A search warrant is required before the search and collection of evidence to ensure legal authorization and protection of individuals' rights against unreasonable searches and seizures.

Option B, "A crime", is incorrect because the presence of a crime is not a prerequisite for conducting a search and collection of evidence. There are various situations where searches and evidence collection may occur without a crime being involved, such as regulatory inspections, consented searches, or investigations into potential threats or risks.

By your logic when you say law enforcement can conduct a search without a search warrant if there is consent by the owner, that would mean option A would be right, but of course, it's not.

If ABCD is dilated by a scale factor of 3, the coordinate of B' would be (-6, 6).

In Geometry, dilation simply refers to a type of transformation which typically changes the size of a geometric object, but not its shape.

This ultimately implies that, the size of the geometric shape would be increased (stretched or enlarged) or decreased (compressed or reduced) based on the scale factor applied.

Next, we would apply a dilation to the coordinates of the pre-image by using a scale factor of 3 centered at the origin as follows:

Ordered pair B (-2, 2) → Ordered pair B' (-2 × 3, 2 × 3) = Ordered pair B' (-6, 6).

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The third term in the expansion of the expression (5x - 7y)³ is 735xy².

Given expression is,

(5x - 7y)³

We have to expand this.

We know that,

(a + b)³ = a³ - 3a²b + 3ab² - b³

Using this,

(5x - 7y)³ = (5x)³ - (3 × (5x)² × 7y) + (3 ×(5x) × (7y)²) - (7y)³

               = 125x³ - (3 × 25x² × 7y) + (3 × 5x × 49y²) - 343y³

               = 125x³ - 525x²y + 735xy² - 343y³

Here the third term is 735xy².

Hence the third term is 735xy².

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2. m < -5

Joey's actual speed is 143.59 mph, and his actual direction is slightly west of northwest.

Given that Joey's aircraft speed: 188 mph

Wind speed: 60 mph

Wind direction: 150 degrees (measured clockwise from due north)

We can consider the wind as a vector, which has both magnitude (speed) and direction.

The wind vector can be represented as follows:

Wind vector = 60 mph at 150 degrees

We convert the wind direction from degrees to a compass bearing.

Since 150 degrees is measured clockwise from due north, the compass bearing is 360 degrees - 150 degrees = 210 degrees.

Joey's aircraft speed vector = 188 mph at 0 degrees (due northwest)

Wind vector = 60 mph at 210 degrees

To find the resulting velocity vector, we add these two vectors together. This can be done using vector addition.

Converting the wind vector into its x and y components:

Wind vector (x component) = 60 mph × cos(210 degrees)

= -48.98 mph (negative because it opposes the aircraft's motion)

Wind vector (y component) = 60 mph×sin(210 degrees)

= -31.18 mph (negative because it opposes the aircraft's motion)

Now, we can add the x and y components of the two vectors to find the resulting velocity vector:

Resulting velocity (x component) = 188 mph + (-48.98 mph) = 139.02 mph

Resulting velocity (y component) = 0 mph + (-31.18 mph) = -31.18 mph

Magnitude (speed) = √((139.02 mph)² + (-31.18 mph)²)

= 143.59 mph

Direction = arctan((-31.18 mph) / 139.02 mph)

= -12.80 degrees

The magnitude of the resulting velocity vector represents Joey's actual speed, which is approximately 143.59 mph.

The direction is given as -12.80 degrees, which indicates the deviation from the original northwest direction.

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Answer:

2 root 5

6 root 5

are the same

Step-by-step explanation:

Answer:

\(2\sqrt{5} \\6\sqrt{5}\)

are the same

Step-by-step explanation:

After simplification, the equation obtained is 5x² - 6/2. Hence, option D is correct.

A phrase must be simplified and made shorter using a variety of methods. The steps required to decrease something are carried out according to a specified order known as BOD MAS.

here, we have,

Make a fraction simpler by reducing it to the base form. If both the numerator and denominator of a fraction only include the integer, the fraction is considered to be in its basic form.

As per the given information in the question,

The given equation in the question is,

15x² - 18/6

Divide the equation by 3,

= 5x² - 6/2.  

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The greatest common factor of 38 and 30 is 2.

It should be noted that thw first step to this method of finding the Greatest Common Factor of 30 and 38 is to find and list all the factors of each number.

Let’s take a look at the factors for each of these numbers, 30 and 38:

Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

Factors of 38: 1, 2, 19, 38

When you compare the two lists of factors, you can see that the common factor(s) are 1, 2. Since 2 is the largest of these common factors, the GCF of 30 and 38 would be 2.

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Answer:

true

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

It would need to be 8,006,907

Answer:

E.

Step-by-step explanation:

2x+4>10

Subtract 4 from both sides

2x>6

Divide both sides by 2

x>3

So, E represents this inequality as x is greater than 3 and it does not include 3 in it which is represented by an empty bubble.

Answer:

E

Step-by-step explanation:

The answer is in the attachment . Kindly refer to it .

The firm’s economic value added (EVA), that is, how much value did management add to stockholders’ wealth during 2018 is $0.42 million

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

here, we have,

Net operating profit = (22 million - 19 million)*(1 - 0.36)

                                = $1.92  million

EVA = net operating profit after taxes - invested capital*WACC

       = 1.92 million - 15 million*0.10

       = $0.42 million

Therefore, The firm’s economic value added (EVA), that is, how much value did management add to stockholders’ wealth during 2018 is $0.42 million.

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Answer:

2

Step-by-step explanation:

f(x)= 0.90(0.59*2)

A grocery store sells bananas for $0.59 per pound. On Wednesdays, the store offers a 10% discount to senior citizens. We need to create a function f(x) which models the amount in dollars, a senior citizen would pay for 2 pounds

What is a simple Equation?

A mathematical equation which represents the relationship of two expressions on either side of the sign.

The 10% discount will make it so the senior citizens will pay 90% of the price.

90%=0.90

Also we need to know that 0.59*2 means how much money per pound the bananas cost.

So when you put it together, you should get f(x)=0.90(0.59*2)

The function f (x)=0.90(0.59*2) which models the amount, in dollars, a senior citizen would pay for 2 pounds of bananas on Wednesday

So the required function is f(x)=0.90(0.59*2)

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A graph which represent the solution set of y = x² − 4 and x + y + 2 = 0 is: D. graph D, Graph shows upward parabola and a line plotted on a coordinate plane. The parabola has vertex at (0, minus 4) with left slope at A (minus 2, 0) and right slope at B (2, 0). The line goes through (minus 2, 0) and (0, minus 2).

In Mathematics, the graph of every quadratic functions (equations) is either an upward or downward parabola, which is typically a u-shaped curve. This ultimately implies that, the graph of a quadratic function (equation) would always form a parabolic curve.

In order to determine the points to the left and right of the parabola, you should set the value of x to be greater than zero (0) i.e x > 0.

For the given quadratic function y = x² − 4, we can logically deduce that the graph (see attachment) represent an upward parabola because the coefficient of x² is positive and the value of "a" is greater than zero as shown in the image attached below.

In conclusion, graph D correctly represent the solution set for the system of equation.

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It is always a good practice to simplify the result whenever possible, but in this case, V14 is the simplest form of the product of V7 and V2.

To multiply the square roots V7 and V2, we can combine the numbers inside the square roots and simplify the result.

V7 * V2 = V(7 * 2) = V14

Multiplying the numbers under the square roots, we get 7 * 2 = 14. Therefore, the product of V7 and V2 is V14.

This means that the square root of 14 is the result of multiplying V7 and V2. However, it is important to note that V14 cannot be further simplified because 14 does not have any perfect square factors.

In summary, the product of V7 and V2 is V14. It is worth mentioning that when multiplying square roots, we can multiply the numbers inside the square roots and keep the square root symbol intact, unless the numbers inside have perfect square factors that can be simplified further.

It is always a good practice to simplify the result whenever possible, but in this case, V14 is the simplest form of the product of V7 and V2.

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