Calcula la longitud del puente que se quiere construir entre los puntos A y B, para lo cual se sabe que los ángulos ABO Y OAB miden 32" y 48° respectivamente y que la


distancia entre Ay O medida en línea recta es 120 m. (sugerencia, trace una linea vertical desde o hasta el segemto AB).

Size of sample needed to determine the percentage of people with give margin of error is equal to 1691.

As given in the question,

Margin of error = 2%

                          = 0.02

Sample proportion 'p' = 0.5

⇒ (1 - p) = 1 - 0.5

             = 0.5

Let 'n' represents the sample size

Z- value at confidence interval 90% = 1.645

Formula used

Margin of error = z-value √ [p( 1-p)/n]

Substitute the value we get,

0.02 = 1.645 √ (0.5)(0.5)/n

Squaring on both the side

0.0004 = 2.706025 ( 0.25/n)

⇒ n = ( 2.706025 × 0.25 )/ 0.0004

⇒ n = 1691.26

⇒ n ≈ 1691

Therefore, size of sample needed with given margin of error is equal to 1691.

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Answer:

A

Step-by-step explanation:

d = 1150 km = 1150 km / 1.61 miles = 714.29 miles

r = 55 mph

d / r = time

714.29 / 55 = 12.99 hours.

The closest time to that is 13 hours.

Using linear functions, the costs are given as follows:

For 4 hours, the difference is costs between the company that charges the most and the one that charges the least is of $15.

A linear function is modeled by:

y = mx + b

In which:

For Company A, we have two points on the column: (2, 33), (3, 49). Hence for one additional hour, the cost increased by $16, hence the slope is of 16 and:

A(x) = 16x + b.

When x = 2, A(x) = 33, hence we use it to find b as follows:

33 = 16(2) + b

b = 1.

Hence:

A(x) = 16x + 1.

Companies B and C have intercepts of 0, while the slopes are hourly costs, hence:

For 4 hours, the costs are given as follows:

The difference is:

72 - 57 = 15.

For 4 hours, the difference is costs between the company that charges the most and the one that charges the least is of $15.

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Answer:

83 is the median

Step-by-step explanation:

you can write this work down, btw the median is the number in the middle

76, 76, 82, 84, 87, 93

/ / + / /

166÷2

83

Answer:

Likely

Step-by-step explanation:

It is not guaranteed, but it is not impossible. There is a higher chance of it happening compared to it not happening, so it it likely.

x² +y² = 9, (x+2)² +(y +5)² = 16

1.) Let's find the equation of the circle given C(0,0), r=3 and b) C(-2,-5) and r =4

The equation of a circle is given by

(x-h)²+(y-k)²= r² C(h, k)

2) Since the Center of the Circle has been given, then let's plug it in, and the radius as well

a) C(0,0) and r=3

(x-h)²+(y-k)²= r²

(x-0)²+(y-0)²= 3²

x² +y² = 9 Circle centered at the origin of the Cartesian Plane

b) C(-2,-5) and r =4

(x-h)²+(y-k)²= r²

(x+2)² +(y +5)² = 16 Since the coordinate of the center are negative

Answer:

19,365 is the answer

Step-by-step explanation:

If you have more questions just ask.

(x; y-8)

The triangle moves down 8 spaces, so the y value decreases with 8. The triangle didn’t move left or right so the x value didn't change

The possible value of x is 17 and the degree measure of each angle is m∠P = 57°, m∠Q = 110°, and m∠R = 17°.

What are the degree measures of the three angles in triangle?

The angle sum of a triangle will always be equal to 180°. The angle sum of a quadrilateral is equal to 360°, and a triangle can be created by slicing a quadrilateral in half from corner to corner. Since a triangle is essentially half of a quadrilateral, its angle measures should be half as well. Half of 360° is 180°.

We have given,

The triangle PQR,

m∠P=(4x - 9), m∠Q=(6x+2), and m∠R=x. (a) Write an equation to find x.

a)

In a triangle, the sum of the degree measures of the three angles must be 180 degrees.

So for the triangle with angles P, Q, and R, we can use this rule to write the following equation:

m∠P + m∠Q + m∠R = 180

(4x - 9) + (6x + 2) + x = 180

11x - 7 = 180

11x = 187

x = 17

This equation shows that x = 17 is the only possible value of x that satisfies the triangle inequality rule for the given triangle.

b) To find the degree measure of each angle:

m∠P = 4x - 9 = 4(17) - 9 = 57°

m∠Q = 6x + 2 = 6(17) + 2 = 110°

m∠R = x = 17°

Hence, the possible value of x is 17 and the degree measure of each angle is m∠P = 57°, m∠Q = 110°, and m∠R = 17°.

.

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The study outlined above is an experiment. In the study, two firefly colonies are set up in a laboratory environment and are subjected to different conditions. Therefore, it is an experimental design as the researcher is actively manipulating the independent variable which is the exposure of fireflies to light.

An observational study would involve recording data on a subject without manipulating their environment or situation. An observational study would have a less controlled environment in which the researcher does not interfere with the study subjects. There is a control group and a treatment group. The control group is the colony that is exposed to normal daylight/darkness conditions. The treatment group is the colony that is exposed to continuous light. The control group is used to provide a baseline measure or standard of comparison for the experiment.

It provides a way to compare the difference between the treatment group and the control group. Thus, the control group is the normal light/darkness colony, and the treatment group is the continuous light colony.

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The part of the statement following "if" is called the antecedent, and the part of the statement following "then" is called the consequent in conditional statements.

The if statement evaluates the test expression inside the parenthesis ().

If the test expression is evaluated to true, statements inside the body of if are executed.

If the test expression is evaluated to false, statements inside the body of if are not executed.

The part of the statement following "if" is called the antecedent, and the part of the statement following "then" is called the consequent in conditional statements.

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In conditional statements, the part of the statement following 'if' is called the antecedent.

The antecedent is the condition that needs to be true for the consequent to occur.

The consequent is the part of the statement that follows 'then.'

An antecedent is a noun or pronoun that denotes a specific being, place, object, or clause.

It's also referred to as a referent. Without an antecedent, a sentence may be insufficient or nonsensical since it is

required to establish what or to whom a pronoun in a sentence is referring.

In summary, a conditional statement is structured as "if (antecedent) then (consequent)."

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The absolute maximum and minimum values of f are 1 and -1, respectively.

The given function is f(x) = sin(x)

, where 0 <= x <= 2π.Sketch the graph of f by hand:graph of f(x) = sin(x)

(where 0 <= x <= 2π)

Use the graph of f to find the absolute and local maximum and minimum values of f.

The absolute maximum value of f is 1, which occurs at x = π/2.

The absolute minimum value of f is -1, which occurs at x = 3π/2.

The local maximum values of f are 1, which occur at x = π/2 + 2πk

(k = 0, ±1, ±2, ...), and the local minimum values of f are -1, which occur at

x = 3π/2 + 2πk

(k = 0, ±1, ±2, ...).

Thus, the absolute maximum value of f is 1, and it occurs at x = π/2, and the absolute minimum value of f is -1, and it occurs at x = 3π/2.

The local maximum values of f are 1, which occur at x = π/2 + 2πk

(k = 0, ±1, ±2, ...), and the local minimum values of f are -1, which occur a

t x = 3π/2 + 2πk (k = 0, ±1, ±2, ...).

Hence, the absolute maximum and minimum values of f are 1 and -1, respectively.

The local maximum values of f are 1, which occur at x = π/2 + 2πk (k = 0, ±1, ±2, ...), and the local minimum values of f are -1,

which occur at x = 3π/2 + 2πk (k = 0, ±1, ±2, ...).

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The greatest number of sides that can result from a cross section of a rectangular prism is 6.

To see why, consider a rectangular prism. The prism has 6 faces, which are all rectangles. If we take a cross section of the prism, the section will intersect some of the faces, resulting in a closed shape. The shape will have at most as many sides as the number of sides of the faces that the section intersects.

Since each face of the rectangular prism has 4 sides, the maximum number of sides that can result from a cross section is 4 x 6 = 24. However, this is only possible if the section intersects every face of the prism, which is unlikely to occur in general. In practice, a cross section of a rectangular prism is more likely to intersect just a few of the faces, resulting in a shape with fewer sides. Therefore, the greatest number of sides that can result from a cross section of a rectangular prism is 6, which occurs when the section intersects all 6 faces.

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Answer:

expression is 20. +20...

Answer:

  15

Step-by-step explanation:

Each bracelet takes 28+10 = 38 elastic bands. If you have 600 bands, you can make ...

  600/38 = 15 30/38 . . . bracelets

You can make 15 complete bracelets.

__

You will have 30 elastic bands left over.

To minimize the amount of material used, we need to find the dimensions of the box with a square base and open top that has a given volume of 500000 cm^3.

Let's denote the length of each side of the square base as x and the height of the box as h. The volume of the box is given by V = x^2h, and we want to minimize the amount of material used, which is determined by the surface area of the box. The surface area of the box consists of the area of the square base and the four rectangular sides. The area of the square base is A_base = x^2, and the area of each rectangular side is A_side = xh.

The total surface area of the box is then A = A_base + 4A_side = x^2 + 4xh. To find the dimensions that minimize the amount of material used, we need to find the critical points of the surface area function A with respect to x and h. We can achieve this by taking the partial derivatives of A with respect to x and h and setting them equal to zero.

∂A/∂x = 2x + 4h = 0

∂A/∂h = 4x = 0

From the first equation, we have 2x + 4h = 0, which gives us h = -x/2. Substituting this into the second equation, we get 4x = 0, which gives us x = 0. However, since both x and h represent lengths, they cannot be negative. Therefore, there are no critical points in the interior of the feasible region. We can conclude that the dimensions of the box that minimize the amount of material used are when x = 0 and h = 0, which means the box has no dimensions and no material is used. This suggests that the problem statement might be incomplete or there may be additional constraints needed to determine a valid solution.

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Answer:

\(y=\frac{3}{4} x\)

Step-by-step explanation:

The line passes the origin(0,0) and point (4,3). Using rise/run we can tell that the slope is 4/3
and using y=mx+b where m represents the slope we can tell that the final equations is \(y=\frac{3}{4} x\)

Answer: y=3/4x

Step-by-step explanation:

Answer:

45 in^2

Step-by-step explanation:

Area of parallelogram = base x height=15x3=45in^2

Answer:

WALA KANG JOWA HEHEHEHEHEHEHEHEHEHEHEHEHEHE

Answer:

2 * ( x+2.9) = 97.4

2x + 5.8 = 97.4

2x = 97.4 - 5.8

2x = 88.9

x = 88.9 / 2

x = 44.45

Answer:

29.11

Step-by-step explanation:

It's difficult to say whether the conditions for constructing a t-confidence interval are met based on the information provided. To construct a t-confidence interval, three conditions must be met:

The sampling method must be random. It's not specified in the problem whether the method of selecting the vehicles was random or not, so it's impossible to say whether this condition is met.

The sample size must be large enough. A sample size of 100 vehicles is considered to be large enough for the normal/large sample condition to be met.

The population must be approximately normally distributed or the sample size must be large. Since the problem does not specify anything about the distribution of the population, it is not clear if this condition is met.

Given that the information provided does not give enough details to state whether the conditions for constructing a t-confidence interval are met or not.

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Answer: After 5 bags of mulch, the cost for both companies will be the same.

Step-by-step explanation:

The cost for Company can be represented by the equation: y= 10m+100

The cost for Company B can be represented by the equation: y= 30m

To find the amount of mulch, their cost needs to be the same, I will solve for m

10m+100=30m

-10m 10m

100=20m

Divide both side by 20

100/20=20m/20

5=m or m=5

So after 5 bags of mulch, the total cost for both companies is the same.

Answer:

x = - 6    

Step-by-step explanation:

Equation

1/3 * (-9x +12) = 22                Multiply both sides by 3

Solution

3 * 1/3(-9x + 12) = 22*3

- 9x + 12 = 66                        Subtract 12 from both sides.

-9x = 66 - 12                         Combine

-9x = 54                                Divide by -9

x = 54/-9

x = - 6

Answer:

You say help is no more

Step-by-step explanation:

We know that

• She paid $124 for concert tickets.

To find the answer to 7 concert tickets, we have to use a proportion.

We solve for x.

Answer:

Step-by-step explanation:

i think 1

Step-by-step explanation:

A

160 >= 20 + 35x

x being the number of hours renting the canoe.

and we have to pay first $20 flat, no matter what. and then the hourly rate begins to "tick".

B

140 >= 35x

x <= 4

and actually, to make practical sense,

0 < x <= 4

as we want to apply this only, if we truly rent a canoe. 0 hours renting (or even negative numbers) does not make any sense.

C

with the given budget of $160 we can rent a canoe for maximum 4 hours.

Answer:

126 in cubed. - pyramid

378 in cubed. - prism

Step-by-step explanation:

Volume for pyramid: 1/3(B)(h)

This pyramid 1/3(42)(9)

126 in cubed.

Volume for prism: B(h)

This prism: (42)(9)

378 in cubed.

2.) The cube's volume

length ⋅ width ⋅ height

The triangular prism's volume is

l⋅w⋅h/3

9x6x7= 378

378/3=

3.)

4.)

Answer:

Step-by-step explanation:

8y-2=6

8y=8

y=1

Answer:

y=1

Step-by-step explanation:

i got a 100 on the test