Can anyone help me on this?

By solving a system of equations, we conclude that the cost of a senior citizen ticket is $10, and the cost of a student ticket is $14.

Let's define the variables:

x =  price of a senior citizen ticket.

y = price of a student ticket.

With the given information we can write a system of equations:

10*x + 3*y = 142

14*x + 6*y = 224

To solve if we subtract twice the first equation from the second equation, we get:

(14*x + 6*y) - 2*(10*x + 3*y) = 224 - 2*142

14x + 6y - 20x - 6y = -60

-6x = -60

x = -60/-6 = 10

So each senior citizen ticket costs 10 dollars.

Now that we know the value of x, we can find the value of y:

10*x + 3*y = 142

10*10 + 3*y = 142

3*y = 142 - 100 = 42

y = 42/3 = 14

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Answer: 30 mph

Step-by-step explanation: Divide 158,400 by 5280(the amount of feet in a mile) to get your answer.

I need to find "S"

32 = s - 19

Add 19 in both sides

32 + 19 = s - 19 + 19

51 = s

Result

s = 51

Step-by-step explanation:

d = price of 1 drink

s = price of 1 sandwich

3d + 5s = 25.05

4d + 2s = 13.8

we can do this by combining both equations so that they is only one variable left.

e.g. multiply equation 1 by 4 and equation 2 by 3, and then subtract equation 2 from equation 1 :

12d + 20s = 100.2

- 12d + 6s = 41.4

------------------------------

0 14s = 58.8

s = 58.8/14 = $4.20

3d + 5s = 25.05

3d + 5×4.2 = 25.05

3d + 21 = 25.05

3d = 4.05

d = 4.05/3 = $1.35

so, each drink costs $1.35.

Answer:

D’=(3,3); F’=(-2,-2); E’= (-5,0)

Step-by-step explanation:

To find the reflection over the y axis (the line x=0), you just need to change the x either from positive to negactive or the opposite.

Residual Plot A indicates that the linear model is not appropriate because the fanned pattern shows that the model's predicting power decreases as the values of the explanatory variable increases. Residual Plot B indicates that the linear model is appropriate because the scattered residuals suggest a linear relationship.

Residual Plot A shows a fanned pattern which indicates that the linear model is not appropriate. This means that the model's predicting power decreases as the values of the explanatory variable increases. This suggests that the relationship between the dependent and independent variables is not linear and a different model may be necessary. Residual Plot B, on the other hand, shows a scattered pattern which suggests that the linear model is appropriate. The scattered pattern indicates that the data points are randomly distributed, which is a sign of a linear relationship. This indicates that the linear model is an appropriate fit for the data.

the complete question is :

Tell what each of the residual plots to the right indicates about the appropriateness of the linear model that was fit to the data. (a). Choose the best answer for residuals plot A. The fanned pattern indicates that the linear model is not appropriate. The model's predicting power decreases as the values of the explanatory variable increases. B. The fanned pattern indicates that the linear model is not appropriate. C. The model's predicting power increases as the values of the explanatory variable increases. The scattered residuals plot indicates an appropriate linear model. (b). Choose the best answer for residuals plot A. The scattered residuals plot indicates an appropriate linear model. B. The curved pattern in the residuals plot indicates that the linear model is not appropriate. The relationship is not linear. C. The fanned pattern indicates that the linear model is not appropriate. The model's predicting power decreases as the values of the explanatory variable increases.

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The slope of the regression line predicting y from x is 0.30.

Given that,

x              y

29          215

62          225

75          173

99         129

108        111

So, the coordinate points are (29, 215) and (62, 225)

The formula to find the slope of a line is slope = (y₂-y₁)/(x₂-x₁).

Here, slope = (225-215)/62-29)

= 10/33

= 0.30

Therefore, the slope of the regression line predicting y from x is 0.30.

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Answer:

The Correct Answer Is 4

Step-by-step explanation:

So if you have $12 and you can buy $3 with each box of envelopes, you think, how many times can 3 go into 12

count in your head, 3 6 9 12 therefore, ITS 4

here is your equation to match this:

3 x ? = 12

You probably already know this, but i simple way to figure this out is to flip the equation to

12/3 = ?

so from here you can tell that 3 goes into 12 4 times

so the equation is

3 x 4 = 12

Hope It helps!

The amount required to endow the scholarship would still be approximately $71,428.57.

To calculate the amount needed to endow a scholarship that pays $5,000 per year forever, starting one year from now, we can use the concept of perpetuity and the formula for present value. The amount required to endow the scholarship can be calculated as follows:

Amount needed = Annual payment / Discount rate

Using the given values, the amount needed to endow the scholarship is:

Amount needed = $5,000 / 0.07 = $71,428.57

Therefore, you would need to donate approximately $71,428.57 to endow the scholarship.

If the scholarship makes the first award to a student 10 years from today, the calculation would be different. In this case, we need to account for the time value of money and discount the future payments to their present value. We can use the formula for the present value of an annuity to calculate the amount needed to endow the scholarship:

Present value = Annual payment / (Discount rate - Growth rate)

Assuming there is no growth rate mentioned, we can use the same discount rate of 7% for simplicity. The amount needed to endow the scholarship, in this case, would be:

Present value = $5,000 / (0.07 - 0) = $71,428.57

Even though the first award is made 10 years from today, the present value remains the same. This is because the discount rate is equal to the growth rate (0% in this case). Therefore, the amount required to endow the scholarship would still be approximately $71,428.57.

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Answer:

15%

Step-by-step explanation:

Question:

The price of a jacket was slashed from Rs.960 to Rs.816.Then the rate of discount offered is​

Solution

Original price= Rs.960

Discount price= Rs.816

Difference in price=Original price - discount price

=Rs. 960 - Rs. 816

=Rs. 144

Percentage discount= Difference in price / Original price × 100

=Rs. 144 / Rs. 960 × 100

=0.15 × 100

=15%

The percentage discount =15% NOT 10% as you have written

The two consecutive odd integers are 9 and 11. 1/8 plus 1/11 equals 12/35.

The sum of the reciprocals of two consecutive odd integers is 12/35.

1/x + 1/(x+2) = 12/35

(x+2)/(x*35) + (x/35) = 12/35

x + 2 + x = 12

2x = 10

x = 5

5 and 7 are the next two odd numbers.

The sum of the reciprocals of two consecutive odd integers is 12/35. To find the two integers, we need to solve for x. Since the two integers are consecutive and odd, the equation

1/x + 1/(x+2) = 12/35

can be used to find x. We can then multiply both sides of the equation by x*35 and simplify it to (x+2)/(x*35) + (x/35) = 12/35.

By subtracting x/35 from both sides and then adding 2 to both sides, we can get the equation

x + 2 + x = 12.

By solving the equation 2x = 10, we find that x = 5. This means that the two consecutive odd integers are 5 and 7. This can also be verified by checking that 1/5 + 1/7 is equal to 12/35.

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(a) An Operating Characteristic (OC) curve is prepared for a single sampling plan with a lot size of 3,000, sample size of 89, and acceptance number of 2. The curve shows the probability of accepting a lot for different levels of incoming quality.

(b) To find the common point on the OC curve for a family of sampling plans that meet the Average Outgoing Quality Limit (AOQL) and 100% stipulation, specific values for AOQL and incoming quality need to be provided.

(a) To prepare the OC curve for the given single sampling plan, we calculate the probabilities of acceptance for various levels of incoming quality. The OC curve shows the relationship between the probability of accepting a lot and the fraction defective in the lot. This is done by calculating binomial probabilities based on the given lot size, sample size, and acceptance number.

(b) To find the common point on the OC curve for a family of sampling plans that meet the AOQL and 100% stipulation, we need to know the specific values for AOQL (Average Outgoing Quality Limit) and incoming quality. Without these values, it is not possible to determine the exact common point on the OC curve. The common point represents the level of incoming quality at which the AOQL requirement is met for all sampling plans in the family, while maintaining 100% stipulation. To find this point, one would need to calculate the probabilities of acceptance for different levels of incoming quality for each sampling plan in the family and identify the point at which the AOQL requirement is satisfied for all plans.

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When the velocity of the car is zero. Then the time will be 1 second.

The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.

The position of a car is given, for positive t, by x = 9t - 3t³. x is in meters and t is in seconds.

We know that velocity is the rate of change of displacement. Then we have

v = dx / dt

v = 9 - 9t²

When the velocity of the car is zero. Then the time will be

v = 0

9 - 9t² = 0

1 - t² = 0

(1 - t)(1 + t) = 0

t = 1, -1

When the velocity of the car is zero. Then the time will be 1 second.

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The plane intercepts on the x,y, z axes are 1, ∞, and 1/2. Hence, the Miller indices for the plane inside the cubic unit cell is (102).

Miller indices are used to specify planes and directions. These planes and directions could be in lattices or crystals. The number of indices will correspond to the size of the lattice or crystal.

In the given graph, the plane intercepts are:

x-intercept : 1

y-intercept : ∞  (since the planes does not intercept y-axes)

z-intercept = 1/2

Take the reciprocal:

1/1 = 1

1/∞ = 0

1/(1/2) = 2

Hence, the miller indices are (102)

The graph in your question is missing. Most likely it was like on the attached picture.

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Answer:

47

Step-by-step explanation:

The total length of the 8 pieces of wood is \(25 \frac{3}{5} meters\)

An equation is an expression that shows the relationship between two or more numbers and variables.

Each piece of wood measures 3 1/5 meters long

a) Total length of 8 piece of wood = 8 * (3 1/5) = 25 3/5 meters

The total length of the 8 pieces of wood is \(25 \frac{3}{5} meters\)

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In a scatter plot, if all data points were aligned along a 44º angle, the correlation would be 0. The correct answer is D.

In a scatter plot, the correlation coefficient measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where -1 indicates a perfect negative linear relationship, 1 indicates a perfect positive linear relationship, and 0 indicates no linear relationship.

When all data points are aligned along a 44º angle, it means that the points are distributed randomly and do not follow a clear linear pattern. There is no consistent increase or decrease in one variable as the other variable changes. Therefore, the correlation between the variables is 0, indicating no linear relationship or strength of association.

In other words, the angle of 44º suggests that the variables are unrelated and have no linear dependency on each other.

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Step 1

Remove full rotations of 360 degrees until the angle is between 0 and 360 degrees

Step 2

Hence, we find sin 120 using reference angles in the first quadrant

Therefore,

Answer sin 480 =(√3)/2

Answer:

= 4.8 × 10^-2  (rounded)

Step-by-step explanation:

4 inches / 7 = 0.047619 ft/day

convert to Scientific notation Answer:

= 4.7619 × 10-2

(scientific notation)

= 4.7619e-2

(scientific e notation)

= 47.619 × 10-3

(engineering notation)

(thousandth; prefix milli- (m))

= 0.047619

(real number)

Answer:

(15, 15)

Step-by-step explanation:

Dilating by a scale factor of 5 centered at the origin simply multiplies the coordinates of a point by 5 so our answer is (3 · 5, 3 · 5) = (15, 15). Hope this helps!

Answer:

7

Step-by-step explanation:

Answer:

40m

Step-by-step explanation:

we use the rule of trapezium by the formula A=½(a+b)h as shown in the picture above.

The statement that best describes the Central Limit Theorem is (a) The distribution of means of random samples pulled from a population will be normally distributed if the sample size is large enough.

The Central Limit Theorem (CLT) states that if repeated random samples is taken from a population with a finite mean and standard deviation, then the distribution of the sample means will approach a normal distribution, even if the original population is not normally distributed.

The larger the sample size, the more closely the sample means will approximate a normal distribution.

which means that, for example, if we take multiple samples of size 100 from a population and calculate the average of each sample, the distribution of those sample means will be approximately normally distributed, regardless of the original shape of the population.

The given question is incomplete , the complete question is

Which best describes what the Central Limit Theorem states ?

(a) The distribution of means of random samples pulled from a population will be normally distributed if the sample size is large enough.

(b) All distributions have the same mean.

(c) The distribution of standard deviations of random samples pulled from a population will be normally distributed if the sample size is large enough.

(d) All distributions are close enough to normally distributed to use the normal distribution as a approximation.

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To find the office hours for a specific Pro Guide, users can visit the Pro Guides website and navigate to the "Contact Us" or "Support" section.

Typically, this information is readily available on the website and is easy to locate. It's important to note that office hours may vary depending on the specific Pro Guide, so users should check the website for updated information.Being able to visit with Pro Guides during their office hours is a valuable resource for users who are seeking to improve their skills in competitive gaming. It provides a direct line of communication between users and experienced coaches, allowing users to receive personalized feedback and guidance tailored to their individual needs.

Pro Guides is a platform that offers educational resources and personalized coaching for gamers looking to improve their skills in competitive gaming. One of the benefits of using Pro Guides is the opportunity to connect with experienced coaches or "Pro Guides" during their office hours. Office hours are designated times when coaches are available to answer questions, provide feedback, and offer guidance to users who are seeking help.

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Answer:

12 miles

Step-by-step explanation:

You would have to divide $26.40 by $2.20 which equals 12 so she traveled 12 miles.

The curl of the linear velocity of a rigid body at any point is equal to twice its angular velocity. This relationship can be derived by considering the rotational motion of the body and utilizing the properties of curl and angular velocity.

To prove that the curl of the linear velocity of a rigid body at any point is twice its angular velocity, we need to consider the rotational motion of the body. Let's denote the linear velocity vector as v(r), where r is the position vector with respect to a fixed point in the body.

The angular velocity vector, denoted as ω, describes the rate at which the body is rotating. It is perpendicular to the plane of rotation and has a magnitude equal to the rotational speed. The angular velocity vector can be expressed as ω = ω_hat × r, where ω_hat is the unit vector in the direction of the rotational axis.

The linear velocity at a point can be decomposed into two components: one due to the translational motion of the body's center of mass and the other due to the rotational motion about the center of mass. We can express the linear velocity as v(r) = v_cm + ω × r, where v_cm is the velocity of the center of mass.

Taking the curl of v(r), we have:

∇ × v(r) = ∇ × (v_cm + ω × r)

Using the properties of the curl, we can distribute the curl operation:

∇ × v(r) = ∇ × v_cm + ∇ × (ω × r)

The first term, ∇ × v_cm, represents the curl of the center of mass velocity. As the center of mass moves in a purely translational motion, its curl is zero:

∇ × v_cm = 0

Now, let's focus on the second term, ∇ × (ω × r). Applying the vector identity for the curl of a curl, we have:

∇ × (ω × r) = ω (∇ · r) - r (∇ · ω) + (∇ · ω) r - ω (∇ · r)

Since r and ω are both functions of time, we can rewrite (∇ · r) as the divergence of the position vector r:

∇ · r = ∇ · r(t) = d/dt (∇ · r) = d/dt (3) = 0

As the divergence of r is zero, the first and fourth terms cancel out. Also, since the divergence of the angular velocity ω is zero (assuming a divergence-free field), the second and third terms cancel each other. Therefore:

∇ × (ω × r) = 0

Combining the results, we find:

∇ × v(r) = 0 + 0 = 0

We have shown that the curl of the linear velocity v(r) is zero, which means the linear velocity is curl-free. However, the curl of the angular velocity ω is given by:

∇ × ω = 2ω

Comparing the two equations, we can conclude:

∇ × v(r) = ∇ × (v_cm + ω × r) = 0 = 2ω

Thus, the curl of the linear velocity of a rigid body at any point is equal to twice its angular velocity, as desired.

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Answer:

\(\\\sf7x^3 - 2x^2 - 5\)

Step-by-step explanation:

\(\\\sf(6x^3 + 3x^2 - 2) + (x^3 - 5x^2 - 3)\)

Remove parenthesis.

6x^3 + 3x^2 - 2 + x^3 - 5x^2 - 3

Rearrange:

6x^3 + x^3 + 3x^2 - 5x^2 - 2 - 3

Combine like terms to get:

----------------------------------------

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Answer:

7x³ - 2x² - 5

Step-by-step explanation:

(6x³ + 3x² - 2) + (x³ - 5x² - 3)

Remove the round brackets.

= 6x³ + 3x² - 2 + x³ - 5x² - 3

Put like terms together.

= 6x³ + x³ + 3x² - 5x² - 2 - 3

Do the operations.

= 7x³ - 2x² - 5

____________

hope this helps!

George will arrive 20 minutes before Max

It takes Max 3 hours(180 minutes) to run 30 km .

The rate can be calculated as follows:

rate = 30 / 180 = 1/6 km/ min

George uses 2 hours 20 minutes(140 minutes) to run 30 km.

The rate can be calculated as follows:

rate =  30 / 140 = 3/14 km / min

If both are to complete a 15-kilometre race, Therefore,

Max time will  be

1 / 6 = 15 / t

t = 15 × 6

t = 90 minutes

George time will be

3/14 = 15 / t

3t = 210

t = 210 / 3

t = 70 minutes

Time difference = 90  - 70 = 20 minutes

Therefore, George will arrive 20 minutes earlier than Max

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