The perimeter of rectangle ABCD is 42 inches. If its base is 12 inches, find its area .

The probability of the random item chosen that it is less than 16.4 inches long is 2.7%

Probability means ?

The likelihood of an event happening is calculated using the probability formula. To review, probability is the probability that an event will occur. What is the likelihood that a specific event will occur when a random experiment is considered? is one of the first queries that pops into our heads. A prediction's chance is expressed as a probability. If we suppose that, for example, x represents the probability that an event will occur, then (1-x) is the probability that the event will not occur.

Variance of sample mean =1.3^2/1= 1.69

S D of sample mean =1.69^(1/2)= 1.3

Z score for length of 16.4 is( 16.4-15.4)/1.3= 0.7692307

The p value for -1.67 in standard normal table is 0.04746

The required probability =0.02764

Only 2.7% of the time will the sample mean be shorter than 16.4 inches.

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The marksman's velocity after firing the gun is about -0.63 m/s (in the opposite direction of the bullet's velocity), as calculated using the conservation of momentum principle.

The conservation of momentum principle can be used to resolve this issue. The initial momentum of the system (marksman plus gun) is zero, and the final momentum is also zero because the bullet and the marksman have equal and opposite momenta. Therefore, we can write:

initial momentum = final momentum

\(0 = (M + m) * V + m * v\)

where M is the mass of the gun, m is the mass of the bullet, V is the velocity of the gun after firing, and v is the velocity of the bullet after firing (which is 181 m/s in this case).

Solving for V, we get:

\(V = - m * v / (M + m)\)

= \(\frac{- 0.014 kg * 181 m/s}{(4.00 kg + 0.014 kg)}\) ≈ -0.63 m/s

Therefore, the marksman's velocity after firing the gun is about -0.63 m/s (in the opposite direction of the bullet's velocity).

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Answer:

1: it is called a building cause it can still be improve or built on.

2: its an integer in a decimal formation.

3: cause each unit is apart from the other units even though it is 1 big building.

Step-by-step explanation:

Answer:

Josh has hiked 17 km, which is 2 km away from being 1/2 done.  

In a equation, this might look like: 17 + 2 = (1/2)h  

where h is the length of the hike.  

and solve for h, h = 38 km

Answer: good luck

Step-by-step explanation:Step 1) Because the first equation is already solved for

y

we can substitute

3

x

+

8

for

y

in the second equation and solve for

x

:

8

x

+

4

y

=

12

becomes:

8

x

+

4

(

3

x

+

8

)

=

12

8

x

+

(

4

⋅

3

x

)

+

(

4

⋅

8

)

=

12

8

x

+

12

x

+

32

=

12

(

8

+

12

)

x

+

32

=

12

20

x

+

32

=

12

20

x

+

32

−

32

=

12

−

32

20

x

+

0

=

−

20

20

x

=

−

20

20

x

20

=

−

20

20

20

x

20

=

−

1

x

=

−

1

Step 2) Substitute

−

1

for

x

in the first equation and calculate

y

:

y

=

3

x

+

8

becomes:

y

=

(

3

⋅

−

1

)

+

8

y

=

−

3

+

8

y

=

5

The solution is:

x

=

−

1

and

y

=

5

or

(

−

1

,

5

)

If Station 1 (at 74, 41) is 44 km away and Station 2( at 0,43 ) is 38 km away. The required approximate location of the GPS receiver is (42, 10).

The location of the GPS receiver can be determined with the help of trilateration. Trilateration is a process of determining absolute or relative locations of points by measurement of distances, using the geometry of circles, spheres, or triangles. If three stations (or more) are in known locations, with a known distance from the point of interest, we can determine the position of the GPS receiver with the help of trilateration.

It can be determined by the following method:

1: Plot the given stations on a coordinate plane. Stations are:

Station 1: (74, 41)

Station 2: (0, 43)

2: Calculate the distance of the GPS receiver from each station using the distance formula.

Distance Formula: The distance formula is used to find the distance between two points in the coordinate plane. The distance between points (x1,y1) and (x2,y2) is given by

d = √[(x2 - x1)² + (y2 - y1)²]

Station 1: Distance from station 1 = 44 kmSo, d1 = 44 km

Station 2: Distance from station 2 = 38 kmSo, d2 = 38 km

3: Plot the given distances as the circle on the coordinate plane.

Circle 1: Centred at (74, 41) with a radius of 44 km.

Circle 2: Centred at (0, 43) with a radius of 38 km.

4: The intersection of two circles. Circle 1 and Circle 2 intersect at point P (approx) (42, 10). So, the approximate location of the GPS receiver is (42, 10).

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Given:

in 27, the smaller triangle is the image of the larger triangle after a dilation with Center C

We will find the scale factor and the value of y

First, the result of the dilation gives similar figures

So, the side lengths of the figures will be proportions

We will find the scale factor (r) as follows:

now, we will find the value of y using the ratio and proportions

So, the answer will be:

The scale factor = 2/3

y = 3

The graph that represents the situation is given in the attached image.

Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.

Given:

A gymnast joined a yoga studio to improve his flexibility and balance.

He pays a monthly fee and a fee per class he attends.

The equation y = 30 + 10x represents the amount the gymnast pays for his membership to the yoga studio per month for a certain number of classes.

The graph of the linear equation is given in the attached image.

And the graph that is equivalent to the graph is also given in the attached image.

Therefore, the equivalent graph is given in the attached image.

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Answer:

c) no solution

Step-by-step explanation:

the roots are imaginary numbers

The data source in this case is an advertisement, which is a form of secondary data.

Secondary data is information collected by someone other than the user. In this case, the television ad is promoting a specific car brand as being "considered to be the best" and suggesting that "now is the best time to replace your car". This information is not based on a sample or experimental data, but rather on the claims made by the car brand itself in their advertisement.

The data source in this case is secondary data, specifically an advertisement. This means that the information provided should be critically evaluated and further research should be conducted to verify its accuracy and reliability.

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When b is 3, the value of the expression \(2b^3 + 5\) is 59.

To evaluate the expression\(2b^3 + 5\) when b is 3, we substitute the value of b into the expression and perform the necessary calculations.

Given that b = 3, we substitute this value into the expression:

\(2(3)^3 + 5\)

First, we evaluate the exponent, which is 3 raised to the power of 3:

2(27) + 5

Next, we perform the multiplication:

54 + 5

Finally, we add the two terms:

59

Therefore, when b is 3, the value of the expression \(2b^3 + 5\) is 59.

In summary, by substituting b = 3 into the expression \(2b^3 + 5\), we find that the value of the expression is 59.

It's important to note that the provided equation has multiple possible solutions for x, but when b is specifically given as 3, the value of x is approximately 3.78.

It's important to note that in this equation, we substituted the value of b and solved for x, resulting in a specific value for x. However, if we wanted to solve for b given a specific value of x, we would follow the same steps but rearrange the equation accordingly.

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The option that is not a factor of capacity planning is the option d

d) Proximity to suppliers

The process of ascertaining the production capacity an organization needs in order to meet changing demand for the products and services of the organization is known as capacity planning.

The factors considered in capacity planning are factors which include the capacity measurement approach, the economies of scale, preparedness to deal with the capacity in chunks, and activities towards identifying the best operating level.

Therefore, from the listed options, the option that is not a factor in capacity planning is the option (d) proximity to suppliers

Other aspects of the operations of an organization, such as supply chain management and logistics can be affected by the proximity of suppliers, but the proximity of suppliers is not directly linked to the determination process for the production capacity needed to meet the market demand.

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Answer:

E

Step-by-step explanation:

Sjsjdjddjdjdjjddjdjdjdjdjdndnsnsnsbs answer is E

Answer: C i think

Step-by-step explanation: hop this helps :)

Answer:

6.8=6 8/5

.

.

.

.

.

.

.

hope it help

If you make $10 per hour, you need to work for less than 15 minutes to afford both bananas and cookies.

To solve this problem using the slope intercept form, we first need to find the equation of the line that represents the cost of buying bananas and cookies.

We can use the slope intercept form, which is y = mx + b, where y is the cost, x is the quantity, m is the slope, and b is the y-intercept.
Let's assume that x represents the number of bananas and y represents the cost of buying both bananas and cookies. The cost of buying one banana is $0.62, so the slope is 0.62. The y-intercept is the cost of buying no bananas, which is just the cost of one cookie, or $1.38.
Thus, the equation of the line is y = 0.62x + 1.38.
To find out how many hours you need to work to afford the bananas and cookies, we need to figure out how much money you make per hour. Let's say you make $10 per hour. Then, you can set up an equation to solve for x, the number of hours:
10x = 0.62x + 1.38
Simplifying the equation, we get:
9.38x = 1.38
x = 0.147 hours, or approximately 8.8 minutes.
Therefore, if you make $10 per hour, you need to work for less than 15 minutes to afford both bananas and cookies. Keep in mind that this calculation assumes that you are able to buy fractional amounts of bananas, which may not always be the case in real life.

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The number of chickens on Prout Farm is 48 and the number of chickens on Watson Farm is 12.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Prout Farm has 4 times as many chickens as Watson Farm. There is a total of 60 chickens on both farms.

Let 'x' be the number of chickens in Prout Farm and 'y' be the number of chickens in Watson Farm. Then the equations are given as,

x = 4y                 ...1

x + y = 60          ...2

From equations 1 and 2, then we have

4y + y = 60

5y = 60

y = 12

Then the value of 'x' is given as,

x = 4 (12)

x = 48

The number of chickens on Prout Farm is 48 and the number of chickens on Watson Farm is 12.

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Answer:

All real numbers are solutions (hope that helps)

Step-by-step explanation:

12x+1=3(4x+1)−2

Step 1: Simplify both sides of the equation.

12x+1=3(4x+1)−2

12x+1=(3)(4x)+(3)(1)+−2(Distribute)

12x+1=12x+3+−2

12x+1=(12x)+(3+−2)(Combine Like Terms)

12x+1=12x+1

12x+1=12x+1

Step 2: Subtract 12x from both sides.

12x+1−12x=12x+1−12x

1=1

Step 3: Subtract 1 from both sides.

1−1=1−1

0=0

The 99% confidence interval for the population mean is approximately (22.2, 29.4).

To calculate the 99% confidence interval for the population mean, we can use the formula:

Confidence Interval = ¯x ± z * (σ / √n)

Where:

- ¯x is the sample mean

- z is the critical value from the standard normal distribution corresponding to the desired confidence level (99% in this case)

- σ is the population standard deviation

- n is the sample size

Given the sample information:

¯x = 25.8

σ = 9.7

n = 48

Now we need to find the critical value. For a 99% confidence level, the critical value corresponds to an area of (1 - 0.99) / 2 = 0.005 in each tail of the standard normal distribution.

Using a standard normal distribution table, the critical value is approximately 2.576.

Calculating the confidence interval:

Confidence Interval = 25.8 ± 2.576 * (9.7 / √48)

                  = 25.8 ± 2.576 * (9.7 / 6.928)

                  = 25.8 ± 2.576 * 1.4

                  = 25.8 ± 3.6104

                  ≈ (22.2, 29.4)

Therefore, the 99% confidence interval for the population mean is approximately (22.2, 29.4).

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Answer:

B

Step-by-step explanation:

56%

subtract 13 from 30, and you get 17. Then you need to divide 17 and 30

Answer: 56.7%

Step-by-step explanation:

Girls = 30 -13 =17

Girls = 17/30 × 100/1

Girls = 0.567× 100

Girls = 56.7%

Answer:

x-7 remainder 23

Step-by-step explanation:

(a) A nonzero vector orthogonal to the plane through the points P, Q, and R is (9, -17, 35). (b) The area of triangle PQR is \(\sqrt\)(811) / 2.

(a) To determine a nonzero vector orthogonal to the plane through the points P, Q, and R, we can first find two vectors in the plane and then take their cross product. Taking vectors PQ and PR, we have:

PQ = Q - P = (5, 1, -2) - (-4, 0, 0) = (9, 1, -2)

PR = R - P = (6, 4, 1) - (-4, 0, 0) = (10, 4, 1)

Taking the cross product of PQ and PR, we have:

n = PQ x PR = (9, 1, -2) x (10, 4, 1)

Evaluating the cross product gives n = (9, -17, 35). Therefore, (9, -17, 35) is a nonzero vector orthogonal to the plane through points P, Q, and R.

(b) To determine the area of triangle PQR, we can use the magnitude of the cross product of vectors PQ and PR divided by 2. The magnitude of the cross product is given by:

|n| = \(\sqrt\)((9)^2 + (-17)^2 + (35)^2)

Evaluating the magnitude gives |n| = \(\sqrt\)(811).

The area of triangle PQR is then:

Area = |n| / 2 = \(\sqrt\)(811) / 2.

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Answer:

True

Step-by-step explanation:

Answer:

True, because if we multiply any number with zero the product will still be zero.

False. The quantity consumed in a base period is not an example of a weight used in the calculation of a weighted index.

In the calculation of a weighted index, a weight is a factor used to assign relative importance or significance to different components or categories included in the index. These weights reflect the contribution of each component to the overall index value. The purpose of assigning weights is to ensure that the index accurately reflects the relative importance of the components or categories being measured.

An example of a weight used in a weighted index could be market value, where the weight is determined based on the market capitalization of each component. This means that components with higher market values will have a greater weight in the index calculation, reflecting their larger impact on the overall index value.

On the other hand, the quantity consumed in a base period is not typically used as a weight in a weighted index. Instead, it is often used as a reference point or benchmark for comparison. For example, in a price index, the quantity consumed in a base period is used as a constant quantity against which the current prices are compared to measure price changes.

Therefore, the statement that the quantity consumed in a base period is an example of a weight used in the calculation of a weighted index is false.

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Answer:

w(4,-9) , x(4,-6) , y(0,-6) , z(0,-9)

Step-by-step explanation:

Answer:B

Step-by-step explanation: it's because you're choosing random peoplepeoplepeople

To solve for x, we just need to compute the inverse of A (if it exists) and multiply it by b. If A is invertible, then this method will give us the unique solution to the linear system Ax=b.

To solve a linear system of the form Ax=b using inverse matrices, we can first find the inverse of matrix A (if it exists) and then multiply both sides of the equation by \(A^-1\), giving us:

\(A^-1Ax = A^-1b\)

Since\(A^-1A\) is the identity matrix I, we can simplify the left-hand side to just x:

\(x = A^-1b\)

However, it's worth noting that computing the inverse of a matrix can be computationally expensive, particularly for large matrices.

So, while using inverse matrices can be a useful technique for solving small systems, it may not be the most efficient approach for larger systems. In those cases, other techniques such as Gaussian elimination or LU decomposition may be more appropriate.

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Answer:

-3 < x < 3

Step-by-step explanation:

The sum of length of the parallel sides of a trapezium exists 300 cm.

A trapezoid, which is often referred to as a trapezium, is a flat, closed object with four straight sides and one set of parallel sides. A trapezium's parallel bases and non-parallel legs are referred to as its bases and legs, respectively. Also possible are parallel legs on a trapezium.

Four sides, four corners/vertices, and four angles make up a trapezium, which is a closed shape or polygon. A trapezium has parallel sides on each of its opposing angles.

One set of the sides of a trapezium is parallel only. Since no trapezium is a rectangle, they are not all the same.

Area of trapezium = (a + b)/2 × h

where h is the perpendicular height, and a and b are parallel sides.

So, (a + b) exists sum of length of bases of a trapezium.

Let the equation be

Area of trapezium = (a + b)/2 × h

substitute the values in the above equation, we get

⇒  4.2 × 100² = (a + b) / 2 × 280 {1 m = 100 cm}

simplifying the equation, we get

⇒ (84/280) × 10000 = a + b

⇒ a + b = 300 cm

Therefore, the sum of length of the parallel sides of a trapezium exists 300 cm.

The complete question is:

Find the sum of length of the parallel sides of a trapezium whose area is 4.2 m² and whose height is 280 cm.

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The sum of length of the parallel sides of a trapezium exists 300 cm.

A trapezoid, also known as a trapezium, is a closed, flat object with one pair of parallel sides and four straight sides. The parallel bases and the non-parallel legs of a trapezium are called the bases and the legs, respectively. A trapezium with parallel legs is another option.

A trapezium is a closed shape or polygon with four sides, four corners, and four angles. Each of the opposing sides of a trapezium has parallel sides.

A trapezium has only one set of parallel sides. They are not all the same since no trapezium is a rectangle.

Area of trapezium = (a + b)/2 × h

where h is the perpendicular height, and a and b are parallel sides.

So, (a + b) exists sum of length of bases of a trapezium.

Let the equation be

Area of trapezium = (a + b)/2 × h

substitute the values in the above equation, we get

⇒  4.2 × 100² = (a + b) / 2 × 280 {1 m = 100 cm}

simplifying the equation, we get

⇒ (84/280) × 10000 = a + b

⇒ a + b = 300 cm

Therefore, the sum of length of the parallel sides of a trapezium exists 300 cm.

The complete question is:

Find the sum of length of the parallel sides of a trapezium whose area is 4.2 m² and whose height is 280 cm.

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