What is the slope of the line which passes through the two given points? (Write the answer as a reduced fraction)
(10, -12) , (14, -12)

Answer:

The answer is 48p^3 - 24p^2 + 24p - 48

To test the hypothesis that the mean weight of two sheets is equal (μ1 - μ2) against the alternative that it is not, and assuming equal variances, we can use a two-sample t-test. The t-statistic can be calculated using the following formula:

t = (x1 - x2) / (s_p * sqrt(1/n1 + 1/n2))

where:

x1 and x2 are the sample means of the two sheets,

s_p is the pooled standard deviation,

n1 and n2 are the sample sizes.

The pooled standard deviation (s_p) can be calculated using the following formula:

s_p = sqrt(((n1 - 1) * s1^2 + (n2 - 1) * s2^2) / (n1 + n2 - 2))

where:

s1 and s2 are the sample standard deviations.

To calculate the t-statistic, we need the sample means, sample standard deviations, and sample sizes.

Once you provide the specific values for these variables, I can assist you in calculating the t-statistic to 3 decimal places.

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To test the hypothesis that the mean weight of the two sheets is equal (μ1 - μ2) against the alternative that it is not, we can use a paired t-test assuming equal variances. The paired t-test is used when we have paired data or measurements on the same subjects or objects.

The t-statistic for a paired t-test is calculated as follows:

t = (X1 - X2) / (s / √n)

where X1 and X2 are the sample means of the two samples, s is the pooled standard deviation, and n is the number of pairs.

Please provide the sample means, standard deviation, and sample size for each sheet so that we can calculate the t-statistic to 3 decimal places.

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Answer: Solve for x

Any value of x makes the equation true.

All real numbers

Interval Notation:

(−∞,∞)

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

2x - 5 = 7

Add 5 to each side

2x-5+5 = 7+5

2x= 12

Divide by 2

2x/2 = 12/2

x = 6

Answer:

x = 6.

Step-by-step explanation:

2x - 5 = 7

2x = 7 + 5

2x = 12

x = 6

Check your work!

2 * 6 - 5 = 7

12 - 5 = 7

7 = 7

Hope this helps!

Answer:

in a class of 80 students, 56 are boys and the rest are girls. what percentage of students are girls?

30% is the answer

The probability that you wait less than 14 minutes without an appointment at the doctor's office is 0.3333.

We are given a probability density function f(1) with the following details:0 ≤ i ≤ 28, which means the range of minutes that we are interested in considering is 0 to 28.

Step 1: The probability that you wait less than 14 minutes can be found by integrating the function from 0 to 14.f(x) = integral from 0 to 14 of f(x) dx

We can simplify the equation as below:f(x) = (1/28) * x when 0 ≤ x ≤ 28.We integrate this function from 0 to 14 as shown below:f(x) = (1/28) * x dx between 0 and 14.f(x) = (1/28) * (14)^2/2 - (1/28) * (0)^2/2f(x) = 0.3333 or 1/3

Hence, the probability that you wait less than 14 minutes without an appointment at the doctor's office is 0.3333.

Summary: The probability that you wait less than 14 minutes without an appointment at the doctor's office is 0.3333. We calculated this probability by integrating the given function f(x) from 0 to 14.

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Answer:

  (0, -2)

Step-by-step explanation:

The solution to a system of equations is the point on the graph where the lines intersect.

Here, both lines have a y-intercept of -2, so intersect there. The solution is ...

  (x, y) = (0, -2)

1. The object's position at t = 1.44 is equal to 16.496.

2. The object's average velocity between the times t = 4.1 s and t = 6.65 s is 40.632 m/s.

3. The object's instantaneous velocity is 21.6 m/s at 4.93 seconds.

Question 1:

For the given expression, the object's position as a function of time in one dimension is given by: 3.38t² + 2.66t + 5.47. We have to find the object's position at t = 1.44.

Given expression: 3.38t² + 2.66t + 5.47.

Thus, the object's position at t = 1.44 is equal to 16.496.

Question 2:

For the given expression, the object's position as a function of time in one dimension is given by: 3.18t² + 2.73t + 5.81. We have to find the object's average velocity between the times t = 4.1 s and t = 6.65 s.

Given expression: 3.18t² + 2.73t + 5.81.

The object's velocity v(t) will be the derivative of the given expression: v(t) = dv/dt (3.18t² + 2.73t + 5.81). Simplifying the derivative, we get v(t) = 6.36t + 2.73.

Average velocity between the times t = 4.1 s and t = 6.65 s will be:

Therefore, the object's average velocity between the times t = 4.1 s and t = 6.65 s is 40.632 m/s.

Question 3:

For the given expression, the object's velocity as a function of time in one dimension is given by: v(t) = 3.23t + 7.68. We have to find at what time the object's instantaneous velocity is 21.6 m/s.

Given expression: v(t) = 3.23t + 7.68.

The instantaneous velocity is the derivative of the given expression: v(t) = dv/dt (3.23t + 7.68). Simplifying the derivative, we get v(t) = 3.23.

The object's instantaneous velocity is 21.6 m/s.

Thus, the object's instantaneous velocity is 21.6 m/s at 4.93 seconds.

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Answer:

A.)

Step-by-step explanation:

Answer:

70% of 1/1 (1) is 0.7

Sizing handles are the small squares that appear in the corners and in the middle of the sides of the border of a selected object.

When you select an object in various graphic design or image editing software applications, such as Microsoft Word, Adobe Photoshop, or Sketch, a border or bounding box is usually displayed around the object to indicate that it is selected.

This border helps you manipulate or modify the object in different ways, such as resizing, rotating, or moving it.

The handles are small squares or circles that appear along the border of the selected object.

They are positioned at the corners and in the middle of the sides.

These handles act as control points that allow you to interact with the object and make adjustments to its size or proportions.

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Given:

We have provided 50 customers from 3 different days survey to get their opinion

Required:

To calculate what percent chose Rocky Road?

Explanation:

First of all we gonna add all the 3 days surveys value which is given in table.

Now to calculate percentage of rocky band

Required answer:

20% of the population in 1700 population likes rocky road

the solution to the system of equations is x = 2 and y = 1.

To solve the system of equations by substitution, we will solve one equation for one variable and substitute it into the other equation.

Given the system of equations:

1) y = 6x - 11

2) -2x - 3y = -7

Step 1: Solve equation (1) for y.

  y = 6x - 11

Step 2: Substitute the value of y from equation (1) into equation (2).

  -2x - 3(6x - 11) = -7

Step 3: Simplify and solve for x.

  -2x - 18x + 33 = -7

  -20x + 33 = -7

  -20x = -7 - 33

  -20x = -40

  x = (-40)/(-20)

  x = 2

Step 4: Substitute the value of x into equation (1) to find y.

  y = 6(2) - 11

  y = 12 - 11

  y = 1

Therefore, the solution to the system of equations is x = 2 and y = 1.

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The solution to the system of equations y = 6x - 11 and -2x - 3y = -7 is x = 2 and y = 1. This is achieved by substituting y into the second equation, simplifying, and solving for x, then substituting x back into the first equation to solve for y.

To solve the system of equations y = 6x - 11 and -2x - 3y = -7 by substitution, we start by substituting the equation y = 6x - 11 into the second equation in place of y, giving us -2x - 3(6x - 11) = -7. Next, simplify the equation by distributing the -3 inside the parentheses to get -2x - 18x + 33 = -7. Combine like terms to get -20x + 33 = -7. Subtract 33 from both sides to obtain -20x = -40, and finally, divide by -20 to find x = 2.

Once we find the solution for x, we substitute it back into the first equation y = 6x - 11. Substituting 2 in place of x gives y = 6*2 - 11, which simplifies to y = 1.

Therefore, the solution to the system of equations is x = 2 and y = 1.

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The measure of angle c is 70 degrees.

If angle a and angle b are complementary, it means that the sum of their measures is equal to 90 degrees.

Given:

Measure of angle a = 10x + 10

Measure of angle b = 20

We can set up the equation:

(10x + 10) + 20 = 90

Simplifying the equation:

10x + 30 = 90

Subtracting 30 from both sides:

10x = 60

Dividing both sides by 10:

x = 6

Now, we have found the value of x to be 6.

To find the measure of angle c, we can substitute the value of x into the equation for angle a:

Measure of angle a = 10x + 10

Measure of angle a = 10(6) + 10

Measure of angle a = 60 + 10

Measure of angle a = 70

As a result, angle c has a measure of 70 degrees.

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Each item costs: 5.50 for a popcorn, 1.90 for a soda, and 2.50 for a hotdog.

An algebraic expression is the combination of numbers and variables in expressing and solving a particular mathematical question.

Let x = cost of a hotdog.

If popcorn costs 3 more than a hotdog, then

3 + x = cost of a popcorn.

If a soda costs 0.60 less than a hotdog, then

x - 0.60 = cost of a soda.

If a popcorn, a soda, and a hotdog at the movies is 9.90, then

(3 + x) + (x - 0.60) + x = 9.90

Simplify the equation and solve for the value of x.

(3 + x) + (x - 0.60) + x = 9.90

3 + x + x - 0.60 + x = 9.90

3x = 9.90 - 3 + 0.60

3x = 7.50

x = 2.50

cost of a hotdog = x = 2.50

cost of a popcorn = 3 + x = 3 + 2.50 = 5.50

cost of a soda = x - 0.60 = 2.50 - 0.60 = 1.90

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Answer:

∴Given Δ ABC is not a right-angle triangle

a= AB = √45 = 3√5

b = BC = 12

c = AC = √45 = 3√5

Step-by-step explanation:

Given vertices are A(3,3) and B(6,9)

           AB =

Given vertices are  B(6,9) and C( 6,-3)

            =  

   BC = 12

Given vertices are  A(3,3) and C( 6,-3)

AC² = AB²+BC²

45  = 45+144

45  ≠ 189

∴Given Δ ABC is not a right angle triangle

Step-by-step explanation:

Answer:

The 95% confidence interval based on this sample is =

[6.41, 7.79]

Step-by-step explanation:

The formula for Confidence Interval =

Mean ± z × standard deviation/√n

Sample mean = 7.1 hours

Standard deviation = 5 hours

n = 200 students

z = 95% confidence interval z score

= 1.96

C.I = 7.1 ± 1.96 × 5/√200

C.I = 7.1 ± 0.693

Hence, Confidence Interval

= 7.1 - 0.693

= 6.407

Approximately = 6.41

= 7.1 + 0.693

= 7.793

Approximately = 7.79

Therefore, the 95% confidence interval based on this sample is

[6.41, 7.79]

Answer:273.8455

Step-by-step explanation:

i do what i can

Answer:

Null/empty set

Step-by-step explanation:

The answer is null because neither Set C and D share the same numbers

If the width of the rectangular prism is doubled, then the volume is twice as large, the correct option is C.

We are given that;

The rectangular prism measures 3ft*4ft*2ft

Now,

A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.

The volume of a rectangular prism= Length X Width X Height

When the width = 2W

before the width is doubled we have our volume as;

V =  LWH

Also when the width = 2W

V =  LWH

V =  L(2W)H

V =  2LWH

Therefore, the volume will become twice as large as before.

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Answer:

20

Step-by-step explanation:

I'm pretty sure its 20 but I could be wrong but 20 is my best guess.

Answer:

16 of the 33 plays none.

Step-by-step explanation:

From the list, we get that 18 students play football, 1 basketball, and 7 both.

What we need to do here is add up 18 and 1

then we subtract 19 by 7 to cancel out the people who play both

and then subtract the total number of 33 by 17,

which gives you 16.

Answer:

Step-by-step explanation:

I think that for a its 1.12 and for b its 39424

100 + 12 = 112
112/100 = 1.12

35200 * 1.12 = 39424

The scatterplot with the least squares line provides insights into the relationship between average annual global surface temperature and the years from 2000 to 2015, allowing us to assess trends, strength of correlation, and make predictions within certain limitations.

The scatterplot represents the relationship between the average annual global surface temperature, in degrees Celsius, and the corresponding years from 2000 to 2015. The line drawn on the plot is the least squares line, which is the best fit line that minimizes the overall distance between the observed data points and the line.

The least squares line is determined using a statistical method called linear regression. It calculates the equation of a straight line that represents the trend in the data. This line serves as a mathematical model to estimate the average temperature based on the year.

By analyzing the scatterplot and the least squares line, we can make several observations. Firstly, we can see whether the temperature has been increasing, decreasing, or remaining relatively stable over the given years. If the slope of the line is positive, it indicates a positive correlation, implying that the temperature has been increasing. Conversely, a negative slope suggests a decreasing trend.

Additionally, we can evaluate the strength of the relationship between temperature and time by examining how closely the data points cluster around the line. If the points are closely grouped around the line, it suggests a strong correlation, indicating that the line is a good representation of the data. On the other hand, if the points are more scattered, the correlation may be weaker.

Furthermore, the line can be used to predict the average annual global surface temperature for future years beyond the data range of 2000 to 2015. However, it's important to note that such predictions should be made with caution and considering other factors that may affect global temperatures, such as climate change and natural variability.

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Question

The given scatterplot shows the average annual global surface temperature, in degrees celsius, for each year from 2000 to 2015. the line drawn is the least squares line for the data set.

Answer:

19.56

Step-by-step explanation:

Number of pages x copies

164 x 16 = 2608

Divided by number of pages per ream

2608 ÷ 50 = 5.216

Total Reams by cost

5.216 x 3.75 = 19.56

Answer:

28 posts of 60 cm length can be cut from a log 17 m in length, with 0.333 m of the log left over.

Step-by-step explanation:

The log is 16 ± 1 meters long.  Fence posts are 70±10cm long.

The greatest number of fence posts that could possibly be cut from the log would occur if the larger number for the log length (17 m) would also happen to coincide with the shortest post length (60 cm).  This seems unlikely, but the question says "can possibly be cut."  This unlikely combination of lenghts is a possible event, so lets use it.

60 cm is 0.60 meter.  (100cm/meter)

Divide the total log length by the length per post to find posts/log:

(17 meters)/(0.60 meters) = 28.333 . . .  

0.333 . . . is not a post.  So 28 posts of 60 cm length can be cut from a log 17 m in length.

The angle of 6 and 70 degrees is 64 degrees.

When we say "the angle of 6 and 70 degrees", we are referring to the angle between a line that goes through 6 degrees on the unit circle and the line that goes through 70 degrees on the unit circle.

To find the angle between two points on the unit circle, we first need to visualize the points and draw the lines that pass through them.

The angle between these two lines is the angle we are looking for. We can use the formula for the difference of two angles to find the angle:

Angle = |6 - 70| = |-64| = 64 degrees

The absolute value of the difference between 6 and 70 degrees is 64 degrees. Therefore, the angle of 6 and 70 degrees is 64 degrees.

We can verify our answer by drawing the unit circle and the lines passing through 6 and 70 degrees. The angle between these lines should be approximately 64 degrees.

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Answer:

B

Step-by-step explanation:

Class A: (2, 5, 7, 6, 4, 3, 8, 7, 4, 5, 7, 6, 3, 5, 4, 2, 4, 6, 3, 5)

Mean = (2 + 5 + 7 + 6 + 4 + 3 + 8 + 7 + 4 + 5 + 7 + 6 + 3 + 5 + 4 + 2 + 4 + 6 + 3 + 5)/20 = 4.8

Median: 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 8

The two middle numbers are 5 and 5.

median = (5 + 5)/2 = 5

range = 8 - 2 = 6

Class B: (3, 7, 6, 4, 3, 2, 4, 5, 6, 7, 2, 2, 2, 3, 4, 5, 2, 2, 5, 6)

Mean = (3 + 7 + 6 + 4 + 3 + 2 + 4 + 5 + 6 + 7 + 2 + 2 + 2 + 3 + 4 + 5 + 2 + 2 + 5 + 6)/20 = 4

Median: 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 7, 7

The two middle numbers are 4 and 4.

median = (4 + 4)/2 = 4

range = 6 - 3 = 3

Summary:

Class A: mean = 4.8; median = 5

Class B: mean = 4; median = 4

B is true.

Answer:

The answer is B

Step-by-step explanation:

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