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The number of people that can go to the amusement park is 10 people

There are three basic types of equation in mathematics. Namely:

259 = 6.50 + 25.25x

259 - 6.50 = 25.25x

252.50 = 25.25x

x = 252.50 / 25.25

x = 10 tickets

Therefore, the number of people that can go to the amusement park is 10 people

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To find the number of acres that had been cultivated in the field 12 hours after Carrie started, we need to calculate the rate of cultivation per hour and multiply it by 12.

To calculate the rate of cultivation per hour, we need to determine how many acres Carrie cultivates in one hour. Let's assume she cultivates x acres in one hour. Then, the rate of cultivation per hour is x acres/hour.

To find the number of acres cultivated in 12 hours, we multiply the rate of cultivation per hour (x acres/hour) by the number of hours (12):

Number of acres = Rate of cultivation per hour * Number of hours

Number of acres = x acres/hour * 12 hours = 12x acres

So, the calculation needed to find the number of acres cultivated in the field after 12 hours is simply multiplying the rate of cultivation per hour by 12. The actual value of x (the rate of cultivation per hour) would need to be given in order to find the specific number of acres cultivated in the field after 12 hours.

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Step-by-step explanation:

We can use trigonometry to solve this problem. Let's draw a diagram:

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A - observer (1.5 m above ground)

B - base of the clock tower

C - top of the clock tower

D - intersection of AB and the horizontal ground

E - point on the ground directly below C

C

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B

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A

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We want to find the height of the clock tower, which is CE. We have the angle of elevation ACD, which is 19 degrees, and the distance AB, which is 100 m. We can use tangent to find CE:

tan(ACD) = CE / AB

tan(19) = CE / 100

CE = 100 * tan(19)

CE ≈ 34.5 m (rounded to 1 decimal place)

Therefore, the height of the clock tower is approximately 34.5 m.

The conditional probability that a household is prosperous, given that it is educated is 0.3142. As P(A) ≠ P(A|B), then A and B are not independent.

According to the Current Population Survey,

P(A) = 0.138,

P{B) = 0.261

The probability that a household is both prosperous and educated is P(A and B) = 0.082.

The conditional probability that a household is prosperous, given that it is educated P(A|B) = P(A and B)/P(B)

Now putting the value,

The conditional probability that a household is prosperous, given that it is educated P(A|B) = 0.082/0.261

The conditional probability that a household is prosperous, given that it is educated P(A|B) = 0.3142

Since P(A) ≠ P(A|B), then A and B are not independent.

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The complete question is:

According to the Current Population Survey, P(A) = 0.138, P{B) = 0.261, and the probability that a household is both prosperous and educated is P(A and B) = 0.082. In the setting of the previous exercise, what is the conditional probability that a household is prosperous, given that it is educated? Explain why your result shows that events A and B are not independent.

Answer: its 12 and 8 10 12 14 16 either of those

Step-by-step explanation:

Answer:

a = 0.64

Step-by-step explanation:

hope that helped

Hi!

"The quotient of" means you divide, so the quotient of 20 and x means you divide 20 by x:

20:x

Now, increase by 7:

(20:x)+7 (Answer)

Hope it helps!

Enjoy your day!

Please feel free to ask if you have any doubts :)

❖Sparkles❖ here to help

 \(\dfrac{20}{x} +7\)

Quotient is defined as when divide one number by another, the result is called the quotient.

The quotient of 20 and x, increased by seven

The following are possible interpretations of the given expression.

\(\dfrac{20}{x} +7\)

Here, "quotient" is the answer to a division.

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The image vertex B' after rotating B(1, 0) by 180° counterclockwise is B'(-1, 0).

To determine the image vertices of B' after rotating the polygon 180° counterclockwise, we need to apply the rotation transformation to the original coordinates.

The rotation of a point (x, y) counterclockwise by 180° can be achieved by multiplying the coordinates by the rotation matrix:

R = [cos(180°) -sin(180°)]

[sin(180°) cos(180°)]

The cosine and sine of 180° are -1 and 0, respectively.

Therefore, the rotation matrix becomes:

R = [-1 0]

[ 0 -1]

Now, let's apply this rotation matrix to the coordinates of point B(1, 0):

B' = R * B

= [-1 0] * [1]

[0]

Multiplying the matrices, we get:

B' = [(-1)(1) + (0)(0)]

[(0)(1) + (-1)(0)]

Simplifying, we find:

B' = [-1]

[0]

Thus, the image vertex B' after rotating B(1, 0) by 180° counterclockwise is B'(-1, 0).

To determine the image vertices of the other vertices A, C, and D, you can follow the same process and apply the rotation matrix to their corresponding coordinates.

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Step-by-step explanation:

because they are similar it means 2 main things :

1. the angles on both figures are the same.

2. there is one constant scaling factor that applies to all lines of a figure to create the lengths of the corresponding lines in the other figure.

so,

12 × f = 30

f = 30/12 = 5/2

this factor f has to apply now also to the side with 16 in.

therefore,

??? = 16 × 5/2 = 8 × 5 = 40 in

Answer: If you have 80% of 5 it would be 4 if you have 120% its six

Step-by-step explanation:

Answer:

58

Step-by-step explanation:

Divide 3596/63

Answer:

58 minutes

Step-by-step explanation:

66=1

3596=?

66×1=66

3596÷66=58

?=58

Step-by-step explanation:

The y intercept is the y value when x=0,

So plug in x=0,

\(5(0) - 2y = 20\)

\( - 2y = 20\)

\(y = - 10\)

Answer:

Step-by-step explanation:

x is the number of miles driven, and I'm assuming that's supposed to say that he plans on driving 500 miles per day and has $210 to spend. We need a cost equation for his trip. $68.64 is the flat fee the company charges regardless of how many miles, x, are driven. If they charge $.12 per mile, that's the rate per mile of the equation which is the same thing as the slope of the linear equation. The cost equation is

y = .12x + 68.64

If he has $210 to spend, let's see how many miles he can go on that by subbing in 210 for y:

210 = .12x + 68.64 and

141.36 = .12x so

x = 1178

He can drive a total of 1178 miles with $210. If he drives 500 miles per day, 1178/500 = 2.356 days. So depending upon when he has to return the car and assuming it's in the morning, he can keep the car for 2 full days and stay within his budget.

Answer: the answer is 8

Step-by-step explanation:

i used a percent calculator and it gave me the answer of 7.6 but 6 makes the 7 round up to 8. 6 is also the nearest cent

Answer:

$7.60

Step-by-step explanation:

Taking 19% of 40 would give you 7.6, which is $7.60.

Answer:

A&D

Step-by-step explanation:

Answer:

A. and C.

Step-by-step explanation:

because 2, 2 sides are equal of four line boxes

Answer:

108

Step-by-step explanation:

Answer:

0.17

Step-by-step explanation:

hello please follow me

Answer:

Yes that is correct

Step-by-step explanation:

52  x 25 = 1,300

1300/ 100= 13

Answer:

y = 4x - 17

Step-by-step explanation:

y - 3 = 4(x - 5) ← distribute parenthesis by 4

y - 3 = 4x - 20 ( add 3 to both sides )

y = 4x - 17

Step-by-step explanation:

To find the vector parametric equation for the parabola from the origin to a point P, we need to express the position vector of P as a function of a parameter. Let's assume the coordinates of P are (x, y).

(a) Vector Parametric Equation for the Parabola: We can represent the position vector of P as a linear combination of two vectors. The first vector will point from the origin to P, and the second vector will be perpendicular to it.

Let's consider the vector from the origin to P as OP. Since P lies on the parabola, the magnitude of OP is given by the equation y = x^2. Therefore, the magnitude of OP is √(x^2 + (x^2)^2) = √(x^2 + x^4).

The unit vector in the direction of OP can be found by dividing OP by its magnitude: u = OP / √(x^2 + x^4).

To find a perpendicular vector, we can take the cross product of u with the vector (0, 0, 1) (which is perpendicular to the xy-plane). This will give us a vector perpendicular to the plane containing the parabola.

Let's call the perpendicular vector v. The cross product of u and (0, 0, 1) is given by: v = u × (0, 0, 1).

Finally, the vector parametric equation for the parabola from the origin to P is given by: r(t) = tu + tv, where t is the parameter ranging from 0 to 1.

(b) Line Integral along the Parabola: To find the line integral of a vector field F along the parabola from the origin to P, we need to evaluate the line integral: ∫(F · dr) from 0 to 1, where F is the vector field, dr is the differential vector along the parabola, and the integral is taken with respect to t.

The line integral can be calculated as follows: ∫(F · dr) = ∫(F · (du/dt) dt), where du/dt is the derivative of the unit vector u with respect to t.

Substituting r(t) = tu + tv into the above expression, we can find the line integral.

Please provide the vector field F so that I can assist you further in evaluating the line integral.

The mathematical proof is given below. Then the claims are correct.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

The triangle ΔABC is a right-angle triangle. And line CD is perpendicular to line AB.

In triangles ΔABC, ΔACD, and ΔCDB, we have

∠ACB = ∠ADC = ∠BDC                     (Right angle)

∠ABC = ∠ACD = ∠CBD                     (Corresponding angles)

Then the triangles ΔABC, ΔACD, and ΔCDB will be similar to each other. And in triangle ΔABC by the Pythagoras theorem is written as,

AB² = AC² + BC²

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Answer:

C = 7.72 ~ 7.7

Step-by-step explanation:

So when you solve this equetion you must 1st find x then c

we can find x by using cos(60)

cos(60) = x/14

x = cos(60) × 14

x = 1/2 ×14

x = 7

so after we find x we are going to solve c by using cos (25)

cos (25) = X/C = 7/c

cos(25) × C = 7

C = 7/cos (25)

C = 7.72 ~ 7.7

so the solution is 7.7

Answer:

               \(\bold{d=\dfrac{13}4=3\dfrac14}\)

Step-by-step explanation:

\(a_{10}\,,\ _{\{+d\}}\ \ a_{11}\,,\ _{\{+d\}}\ \ a_{12}\,,\ _{\{+d\}}\ \ a_{13}\,,\ _{\{+d\}}\ \ a_{14}\quad\implies\quad\ a_{14}-a_{10}=4d\\\\4d=a_{14}-a_{10}\\\\4d=30-17\\\\4d=13\\{}\ ^{\div4\quad\div4}\\d=\dfrac{13}4=3\dfrac14\)

Answer:

\( \sec(x) = \frac{1 }{ \cos(x ) } \)

sec x = 2.12901852

In Trigonometry, since cosines (cos) and secants (sec) are reciprocals of each other, this means that,

cos x = 1/sec x and sec x = 1/cos x

therefore,

if, cos x = 0.4697

then, sec x = 1/0.4697

which is, sec x = 2.12901852

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Answer:

It is in standard form, unless you say you want to write it in whole number form, move it six points to the left

Step-by-step explanation:

Answer:

Acute and Obtuse..I cant see any right

Step-by-step explanation:

Answer:

D) Acute and Obtuse angles

Step-by-step explanation:

The pink quadrilateral has obtuse angles and I believe it has 2 acute angles.

The orange one has 2 acute and 2 obtuse angles

And the green one has both acute and obtuse angles.

To determine the maximum error when using \($x = 0.404$\) cm as an estimate of the mean diameter of bearings made by the process, we can calculate the margin of error for different confidence levels.

a) With a confidence of 95%:

For a 95% confidence level, we can use the standard normal distribution and the formula for the margin of error:

\(\[\text{{Margin of error (E)}} = z \times \left(\frac{{\sigma}}{{\sqrt{n}}}\right)\]\)

where  \($z$\) is the critical value corresponding to the desired confidence level, \($\sigma$\) is the standard deviation, and \($n$\) is the sample size.

Since we only have the population standard deviation \(($\sigma$)\) and not the sample size \(($n$)\) , we cannot calculate the margin of error without additional information. Please provide the sample size \(($n$)\)to compute the maximum error with a 95% confidence level.

b) With a confidence of 99%:

Similarly, for a 99% confidence level, we can use the standard normal distribution and the formula for the margin of error:

\(\[\text{{Margin of error (E)}} = z \times \left(\frac{{\sigma}}{{\sqrt{n}}}\right)\]\)

Using a 99% confidence level, the critical value \(($z$)\) is 2.576 (obtained from the standard normal distribution table).

Therefore, the maximum error with a 99% confidence level can be calculated as:

\(\[\text{{Margin of error (E)}} = 2.576 \times \left(\frac{{0.003}}{{\sqrt{n}}}\right)\]\)

Again, we need the sample size \(($n$)\) to compute the maximum error with a 99% confidence level. Please provide the sample size to proceed with the calculation.

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Using 500ml of squash, the water that Ben will need is 2000ml.

If he halved the amount of squash, the water that he would need is 1000ml.

The people who use public transport are 18.

Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).

From the information, the instructions on the bottle state that the squash should be mixed with water in a 1:4 ratio. The water needed will be:

= 4 × 500ml

= 2000ml

If he halved the amount of squash, this will be:

= 1/2 × 2000

= 1000ml

Those who use public transport will be:

= 2/3 × 27

= 18

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Answer:

$2756.01  to the nearest cent.

Step-by-step explanation:

A = P(1 + r)^t     where A is the amount after t years, P = amount invested, r = rate as a decimal fraction.

So here, we have:

A = 1500(1 + 0.052)^12

= 1500 * 1.837337

= $2756.01