Express each ratio as a fraction in the simplest form
12 blue cars out of 48 cars

The back-to-back stem-and-leaf plot or parallel boxplots can be use to compare. GPAs for successful students are generally higher. A significant relationship exists between GPA and credit hours for successful students. An applicant with a 3.5 GPA is likely to be successful, as the predicted value is closer to successful students' values.

To compare the GPAs for the two groups, an appropriate graphical display could be a back-to-back stem-and-leaf plot or parallel boxplots. Based on the graph, we can observe that successful students generally have higher GPAs than unsuccessful students.

To determine if there is a significant relationship between GPA and mean number of credit hours per semester for successful students, we can use a t-test for the slope or linear regression t-test.

Given the provided computer output, with a t-value of -5.90 and a p-value of 0.000, we can reject the null hypothesis and conclude that there is a significant relationship between GPA and mean number of credit hours per semester for successful students.

Using the regression equation to predict the number of credit hours for an applicant with a GPA of 3.5,

For the successful group predicted hours = 23.514 – 2.7555(3.5) = 13.86975

For the unsuccessful group predicted hours = 24.200 – 3.485(3.5) = 12.0025

we get a predicted value of 13.86975 for successful students and 12.0025 for unsuccessful students.

Since the actual value of 14 is closer to the predicted value for successful students, we can infer that this applicant is likely to be successful in the Ph.D. program.

To know more about Null hypothesis:

https://brainly.com/question/28920252

#SPJ4

--The given question is incomplete, the complete question is given

" The statistics department at a large university is trying to determine if it is possible to predict whether an applicant will successfully complete the Ph.D. program or will leave before completing the program. The department is considering whether GPA (grade point average) in undergraduate statistics and mathematics courses (a measure of performance) and mean number of credit hours per semester (a measure of workload) would be helpful measures. To gather data, a random sample of 20 entering students from the past 5 years is taken. The data are given in photo.

a. Use an appropriate graphical display to compare the GPAs for the two groups.(provide names only) Write a few sentences commenting on your display.

b. For the students who successfully completed the Ph.D. program, is there a significant relationship between GPA and mean number of credit hours per semester?

Give a statistical justification to support your response.

c. If a new applicant has a GPA of 3.5 and a mean number of credit hours per semester of 14.0, do you think this applicant will successfully complete the Ph.D. program? Give a statistical justification to support your response. "--

The graph shows the locations of the three best places to drill a well on a customer's property. The coordinates of the three locations on the graph are option D: (-2, -3), (-1, 4), and (5, 2).

By examining the given options, we can determine the correct coordinates by matching them to the descriptions in the statement.

Option D: (-2, -3), (-1, 4), (5, 2) matches the statement, indicating that these are the locations of the three best places to drill a well on the customer's property.

Option A: (-2, -3), (4, -1), (-5, 2) does not match the given statement.

Option B: (2, 3), (4, 1), (5, 2) does not match the given statement.

Option C: (-3, -2), (-1, 4), (2, -5) does not match the given statement.

Therefore, the correct answer is option D: (-2, -3), (-1, 4), (5, 2) as these coordinates match the three best places to drill a well as indicated in the statement.

Learn more about graph here:

https://brainly.com/question/17267403

#SPJ11

7. 51 customers said oatmeal raisin or peanut butter.

8. 42 customers said oatmeal raisin or peanut butter was their favorite cookie.

7. From the given circle graph, it can be seen that

chocolate chip is 14%

hence we can say that

14% of 150 = 0.14 x 150 = 21 customers

51 customers said oatmeal raisin or peanut butter

8. The oatmeal raisin or peanut butter

20% + 8% = 28%

28% of the customers said oatmeal raisin or peanut butter was their favorite cookie  which is equivalent to

0.28 x 150 = 42 customers

Lean more about circle graph at

https://brainly.com/question/24461724

#SPJ1

Answer:

1/2x-10

Step-by-step explanation:

\(\frac{1}{5} x+\frac{1}{2} (\frac{3}{5}) +\frac{1}{2}(-20)\\\frac{1}{5} x+\frac{3}{10} x-10\\\frac{1}{2} x-10\\\)

Hope this helped! :)

Hey there!

1/5x + 1/2(3/5x - 20)

DISTRIBUTE 1/2 within the PARENTHESES:
= 1/5x + 1/2(3/5x) + 1/2(-20)

= 1/5x + 3/10x - 10

COMBINE the TERMS

= (1/5x + 3/10x) - (10)

= 1/5x + 3/10x - 10

= 1/2x - 10

Therefore, your should be:

1/2x - 10

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The size of the angle marked r in the given triangle is 40°

From the diagram, we see that we have a triangle. To determine the size of the angle marked r, we will consider the exterior angle theorem.

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

From the diagram,

The exterior angle = 130°

One of the two remote interior angles is a right angle, that is 90°; and the other one is marked r°

∴ We can write that

r° + 90° = 130°

Solving the equation, we get

r° = 130° - 90°

r° = 40°

Hence, the size of the angle marked r is 40°

Learn more here: https://brainly.com/question/23883431

Answer: That would be xy−4x <3 hope it helps

Step-by-step explanation: all u have to do is multiply the polynomials

Answer:

Step-by-step explanation:

Answer:

Y=hx+25

Step-by-step explanation:

y=total price paid

h=hourly rate

x=number of hours

25=inital fee

Answer:

Give the full question, then I might be able to solve it.

The standerd form 4m – 2m^4 – 6m^2 +9.

We have given that the polynomial given below we have to find the standerd form  of the polynomial.

\(P(x)=a_nx^n+a_{n-1}x^{n-1}+......+a_1x+a_0\)

n=4

Standard form of the polynomial

\(4m - 2m^4 - 6m^2 + 9\)

Rearranginge term we get

\(=-2m^4 - 6m^2 + 4m + 9\)

The third term of the given polynomial is 0.

Therefore,the standard form is,

\(-2m^4 - 6m^2 + 4m + 9\)

To learn more about polynomial visit:

https://brainly.com/question/5366408

Answer:

x = 8

Step-by-step explanation:

4x + 3 = 5x - 5

~Subtract 3 to both sides

4x = 5x - 8

~Subtract 5x to both sides

-x = -8

~Divide -1 to both sides

x = 8

Best of Luck!

Answer:

x = 8

Step-by-step explanation:

4x+3=5x-5

4x+8=5x

8=x

x= 8

-1.63 standard deviations is below the mean of Joe

Standard Deviation: Standard deviation is a statistical measurement that looks at how far a group of numbers is from the mean. Put simply, standard deviation measures how far apart numbers are in a data set. This metric is calculated as the square root of the variance.

It is given that joe has a creativity score of 16. for this creativity test, the mean was 29 and the standard deviation was 8

Standard Deviation=8

Mean=29

Creativity Score=16

Standard deviation below the mean= (score-mean)/standard deviation

                                                           = (16-29)/8

                                                           = -1.63

-1.63 standard deviations is below the mean of Joe

To learn more about Standard Deviation visit:

brainly.com/question/12402189

#SPJ4

Answer:

When you multiply one positive and one negative, you get a negative solution. When you multiply two negatives, you get a positive solution.

(-564)x(1.4)

-789.6

:)

Oganesson (element 118) is the heaviest element ever discovered, with an atomic mass of 294. Its most stable isotope (294Og) has a half-life of 0.89 milliseconds.

Oganesson is a synthetic element, meaning that it can only be produced in the laboratory, not found in nature. Oganesson is part of the noble gas group and is expected to exhibit some noble gas properties, although its exact behavior is unknown. It is the heaviest element on the periodic table and its atomic number is 118.

It is the heaviest known element and is also the last element of the periodic table. It is a member of the noble gases and has the atomic number 118. It was discovered in 2002 and is named after the Russian physicist Yuri Oganessian. Its symbol is Og.

To learn more about noble gas properties link is here

brainly.com/question/30778682

#SPJ4

Answer:Function

Step-by-step explanation:Because each x variable is pointing to a diffrent range

The unit rate in teaspoons per pound would be 1/2 teaspoons per pound.

What is the unit rate?

A unit rate means a rate for one or something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.

The number of teaspoons:

                                      \(=1\frac{3}{4}\\\\=\frac{4+3}{4}\\\\=\frac{7}{4}\)

Amount of pasta:

                              \(=3\frac{1}{2}\\\\=\frac{6+1}{2}\\\\=\frac{7}{2}\)

Now the unit rate = number of teaspoons/ amount of pasta

                             \(=\frac{7/4}{7/2}\\\\=\frac{1}{2}\\\)

Hence, the unit rate in teaspoons per pound would be 1/2 teaspoons per pound.

To learn more about unit rates, visit:

https://brainly.com/question/4895463

#SPJ1

Answer:

Step-by-step explanation:

1/2

The culture of bacteria would take 9 hours to multiply by 8.

If the culture of bacteria doubles every 3 hours, we can calculate the number of doublings required to reach a multiplication of 8. Since 2^3 = 8, we need 3 doublings to reach a multiplication factor of 8. Each doubling takes 3 hours, so multiplying by 8 would take 3 hours * 3 doublings = 9 hours.

Exponential growth is a mathematical model that describes how a quantity increases rapidly over time. It is often expressed in the form of an equation, such as y = ab^x, where 'y' represents the final value, 'a' is the initial value, 'b' is the growth factor, and 'x' is the number of time periods.

In this case, the bacteria culture exhibits exponential growth with a doubling time of 3 hours. Since it doubles every 3 hours, we can write the equation as y = 2^x, where 'y' represents the final quantity and 'x' is the number of 3-hour periods.

To find the number of hours required to multiply by 8, we need to solve the equation 2^x = 8. Taking the logarithm base 2 on both sides of the equation, we get x = log_2(8). Simplifying this expression, we find x = 3.

Therefore, the culture of bacteria would take 3 doublings or 3 * 3 hours = 9 hours to multiply by 8.

To know more about exponential growth and calculations, refer here:

https://brainly.com/question/30402744#

#SPJ11

Answer:

58 million = .16a

a = 362.5 million square miles

The parametric equations for the line segment from (-3, 18, 31) to (11, -4, 48) can be expressed as follows:

x(t) = -3 + (11 - (-3))t

y(t) = 18 + (-4 - 18)t

z(t) = 31 + (48 - 31)t

In these equations, t represents the parameter that varies along the line segment. By plugging in different values of t, we can obtain corresponding points on the line segment.

The x(t) equation represents the x-coordinate of the line segment, where -3 is the initial x-coordinate and (11 - (-3)) represents the change in the x-coordinate over the segment. By multiplying this change by t, we can determine the specific x-coordinate at any point along the line segment.

Similarly, the y(t) equation represents the y-coordinate, where 18 is the initial y-coordinate and (-4 - 18) represents the change in the y-coordinate. Multiplying this change by t gives us the y-coordinate at any point.

Lastly, the z(t) equation represents the z-coordinate, where 31 is the initial z-coordinate and (48 - 31) represents the change in the z-coordinate. Multiplying this change by t allows us to determine the z-coordinate at any point along the line segment.

By using these parametric equations, we can generate points that lie on the line segment connecting the given two points and describe the entire line segment in three-dimensional space.

Learn more about parametric equations here:

https://brainly.com/question/29275326

#SPJ11

Answer:

-4

Step-by-step explanation:

Since this has an equals sign and in both sides it can be divisible. So you take 5 and divide it on both sides to get -4

when possible, the best way to establish that an observed association is the result of a cause and effect relation is by means of well designed experiment.

In an experiment, a researcher manipulates one or more variables, while holding all other variables constant. By noting how the manipulated variables affect a response variable, the researcher can test whether a causal relationship exists between the manipulated variables and the response variable. Characteristics of a Good Experimental Design:

Provides unbiased estimates of the factor effects and associated uncertainties Enables the experimenter to detect important differences Includes the plan for analysis and reporting of the results Gives results that are easy to interpret Permits conclusions that have wide validity Shows the direction of better results Is as simple as possible Basic Principles of  experimental design:

The basic principles of experimental design are

(i) Randomization

(ii) Replication

(iii) Local Control

Randomization:

Randomization is the cornerstone underlying the use of statistical methods in experimental designs.  Randomization is the random process of assigning treatments to the experimental units. The random process implies that every possible allotment of treatments has the same probability.

Replication:

By replication, we mean that repetition of the basic experiments. For example, If we need to compare the grain yield of two varieties of wheat then each variety is applied to more than one experimental units.

Local Control

it has been observed that all extraneous source of variation is not removed by randomization and replication, i.e. unable to control the extraneous source of variation. Thus we need to a refinement in the experimental technique.

Learn more about variations:

https://brainly.com/question/15024813

#SPJ4

The recurrence relation N(n) = N(n - 2) + N(n - 2) + N(n - 3) + N(n - 1) represents the number of ways to spend all the money when we have a certain amount of dollars and four options for spending it: milk, juice, coffee, and cookies.

Let's denote the number of ways of spending all the money as N(n), where n represents the amount of money we have. Our goal is to find the recurrence relation for N(n).

To start, let's consider the base cases. When n = 0, it means we have no money left. In this case, there is only one way to spend the money, and that is by not buying anything. Therefore, N(0) = 1.

Now, let's consider the cases when n > 0. We have four options for spending the money: milk, juice, coffee, and cookies. Let's analyze each option separately.

If we decide to buy milk, it costs $2. After buying milk, we are left with n - 2 dollars. We need to find the number of ways to spend the remaining money, which is N(n - 2).

Therefore, the number of ways of spending all the money when buying milk is equal to N(n - 2).

If we decide to buy juice, it also costs $2. After buying juice, we are left with n - 2 dollars. We need to find the number of ways to spend the remaining money, which is N(n - 2).

Therefore, the number of ways of spending all the money when buying juice is equal to N(n - 2).

If we decide to buy coffee, it costs $3. After buying coffee, we are left with n - 3 dollars. We need to find the number of ways to spend the remaining money, which is N(n - 3). Therefore, the number of ways of spending all the money when buying coffee is equal to N(n - 3).

If we decide to buy cookies, it costs $1. After buying cookies, we are left with n - 1 dollars. We need to find the number of ways to spend the remaining money, which is N(n - 1). Therefore, the number of ways of spending all the money when buying cookies is equal to N(n - 1).

Now, let's consider the total number of ways to spend all the money when considering all the options. Since each option is independent, we can add up the number of ways for each option. Therefore, the recurrence relation for N(n) can be expressed as:

N(n) = N(n - 2) + N(n - 2) + N(n - 3) + N(n - 1)

This recurrence relation allows us to compute the number of ways of spending all the money for any given amount of money. By using dynamic programming techniques, we can start with the base case N(0) = 1 and compute the values of N(n) iteratively until we reach the desired amount of money.

To know more about recurrence relation here

https://brainly.com/question/30895268

#SPJ4

Answer:

C. -3a^2 + 3b^2 - 2ab + 7a + b

Step-by-step explanation:

Let's combine like terms.

-3a(a + b - 5) + 4(-2a + 2b) + b(a + 3b - 7) distribute

-3a^2 - 3ab + 15a - 8a + 8b + ba + 3b^2 - 7b combine

-3a^2 - 2ab + 7a + b + 3b^2

This is the same as answer C, the terms are just rewritten in a different order.

To find the equation of the sphere tangent to the plane 2x + 3y - 6z = 5 with center C(-2, 3, 7), we need to find the radius of the sphere. The equation of the sphere is (x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 36.

The distance from the center of the sphere to the plane is equal to the radius. We can use the formula for the distance between a point (x, y, z) and a plane Ax + By + Cz + D = 0:

Distance = |Ax + By + Cz + D| / sqrt(A^2 + B^2 + C^2)

In this case, the plane equation is 2x + 3y - 6z - 5 = 0. Plugging in the coordinates of the center C(-2, 3, 7) into the formula, we have:

Distance = |2(-2) + 3(3) - 6(7) - 5| / sqrt(2^2 + 3^2 + (-6)^2)

= |-4 + 9 - 42 - 5| / sqrt(4 + 9 + 36)

= |-42| / sqrt(49)

= 42 / 7

= 6

So, the radius of the sphere is 6.

The equation of a sphere with center C(-2, 3, 7) and radius 6 is:

(x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 6^2

Simplifying further, we have:

(x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 36

Therefore, the equation of the sphere is (x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 36.

Learn more about radius here

https://brainly.com/question/24375372

#SPJ11

Answer: A 550g box for $10.89

Step-by-step explanation:

Represent each option as grams per dollar

225g / $5.77 = 38.99g / $1.00

550g / $10.89 = 50.51g / $1.00

725g / $16.89 = 42.92g / $1.00

The second option gives the most grams per dollar

Answer:

x,y \(( \frac{2}{61})(\frac{91}{61} )\)

Answer:

Step-by-step explanation:

6.69 is the answer. Bcause you add the hundreths place to get 19 carry the 1  add them together you got .69 the add the onesplace to get 6 then your answer is 6.69

Answer: 6.69

Step-by-step explanation: