A University of Florida study on drinking habits asks a random sample of students if they drink any alcohol when they party. We want to extend the results to all students at the university. In this problem, we want to make inferences about: Group of answer choices comparing proportions from dependent samples comparing proportions from 2 independent samples one mean comparing means from dependent samples one proportion comparing means from 2 independent samples

Answer:

B conversation

Answer:

c

Step-by-step explanation:

because i got it right

Answer:

1) We need to conduct a hypothesis in order to check if the true mean is higher than 5 gpm, the system of hypothesis would be:  

Null hypothesis:[tex]\mu \leq 5[/tex]  

Alternative hypothesis:[tex]\mu > 5[/tex]  

2) [tex]df=n-1=8-1=7[/tex]  

Since is a one sided test the p value would be:  

[tex]p_v =P(t_{(7)}>2.233)=0.0304[/tex]  

3) For this case is we use a significance level of 1% or 99% of confidencewe see that [tex]p_v >\alpha[/tex] and we don't have enough evidence to conclude that the specification is satified. But if we use a value of significance [tex]\alpha=0.05[/tex] or 95% of confidence we see that [tex]p_v <\alpha[/tex] and we have enough evidence to conclude that the specification is satisfied.

Step-by-step explanation:

Data given and notation  

[tex]\bar X=6.5[/tex] represent the sample mean

[tex]s=1.9[/tex] represent the sample standard deviation

[tex]n=8[/tex] sample size  

[tex]\mu_o =5[/tex] represent the value that we want to test

[tex]\alpha[/tex] represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

[tex]p_v[/tex] represent the p value for the test (variable of interest)  

Part 1: State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the true mean is higher than 5 gpm, the system of hypothesis would be:  

Null hypothesis:[tex]\mu \leq 5[/tex]  

Alternative hypothesis:[tex]\mu > 5[/tex]  

If we analyze the size for the sample is <30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex]  (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

We can replace in formula (1) the info given like this:  

[tex]t=\frac{6.5-5}{\frac{1.9}{\sqrt{8}}}=2.233[/tex]    

Part 2: P-value

The first step is calculate the degrees of freedom, on this case:  

[tex]df=n-1=8-1=7[/tex]  

Since is a one sided test the p value would be:  

[tex]p_v =P(t_{(7)}>2.233)=0.0304[/tex]  

Part d: Conclusion  

If we compare the p value and the significance level given [tex]\alpha=0.01[/tex] we see that [tex]p_v>\alpha[/tex] so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the height of men actually its significant higher compared to the height of men in 1960 at 1% of signficance.  

Part 3

For this case is we use a significance level of 1% or 99% of confidencewe see that [tex]p_v >\alpha[/tex] and we don't have enough evidence to conclude that the specification is satified. But if we use a value of significance [tex]\alpha=0.05[/tex] or 95% of confidence we see that [tex]p_v <\alpha[/tex] and we have enough evidence to conclude that the specification is satisfied.

Answer:5

Step-by-step explanation:

Answer: $9.58

Step-by-step explanation: A pound of apples cost $1.99, so you multiply 1.99 and 1.8.(the pounds he got)

1.99x1.8= 3.58 (Cost of 1.8 pounds of apples)

A pound of strawberries cost 2.00, so you multiply 2.00 and 3 (the pounds he got)

2.00x3= $6.00

Add $3.58+$6.00= $9.58

Answer:

See attached file

Step-by-step explanation:

Answer:

a) Container A

Step-by-step explanation:

i just did the assignment and that was the correct answer.

Answer:

container a

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

f(-4) f(x)=-2x-3

f(-4)=-2(-4)-3

f(-4)=8-3

f(-4)=5

Answer:

5

Step-by-step explanation:

you imput -4 for x then you proceed as normal solving the equation

-2(-4) - 3 since two negatives when multiplied make a positive

8 - 3

5

Answer:

a movie, m is 3

a video game, v is 5.5

Brainliest would be really appreciated. (need it to unlock chat)

Feel free to ask further questions if you feel like it.

Till then, have a nice day

Step-by-step explanation:

I 5m+2v=26

II 3m+8v=53

I 5m+2v=26 devide by 2 on both sides

5/2m+v=13 subtract 5/2m om both sides

v=13-5/2m

Now put this whole thing in the other equation II, replacing the v there

3m+8(13-5/2m)=53 just calculate it

3m+104-20m=53

-17m+104=53 subtract 53 on both sides

-17m+51=0 add 17m on both sides

51=17m devide by 17

3=m

we found m, v is easy

now put m in an equation from the start, let's take equation I here

I 5m+2v=26

5*(3)+2v=26

15+2v=26 subtract 15 on both sides

2v = 11 devide by 2

v = 5.5

So we found m and v, prices for single items. we can proof this when we put m and v into a given equation and the if it equals a true value

m & v in II

II 3m+8v=53

3*(3)+8*(5.5)=53

9+44=53

53=53

Seems legit.

To find the rental cost for each movie and video game, set up a system of equations based on the given information and solve for the variables.

To find the rental cost for each movie and video game, we can set up a system of equations based on the given information.

Let's assign variables to represent the rental cost for each movie and video game. Let's use 'm' for the cost of a movie and 'g' for the cost of a video game.

Based on the first month's information, we can write the equation: 5m + 2g = 26

Based on the second month's information, we can write the equation: 3m + 8g = 53

Now we can solve this system of equations to find the values of 'm' and 'g'.

By solving the system of equations, we find that the rental cost for each movie is $4 and the rental cost for each video game is $5.

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Answer:

(C)Educated people have higher savings than those who are not educated

Step-by-step explanation:

The model which is used to determine the annual savings of an individual on the basis of his annual income and education is given below:

[tex]Savings = \beta_0+\delta_0 Edu + \beta_1Inc+u[/tex]

The variable "Edu" takes a value of 1 if the person is educated. The coefficient [tex]\delta_0[/tex] measures the impact of education on a certain individual’s annual savings. If [tex]\delta_0[/tex]>0, it has a positive impact. Therefore, educated people should have higher savings than those who are not educated.

Answer:

In one month, we will have 4,950 non-smokers, 2,650 smokers of one pack and 2,400 smokers of more than one pack.

In two months, we will have 4,912 non-smokers, 2,756 smokers of one pack and 2,332 smokers of more than one pack.

In a year, we will have 4,793 non-smokers, 3,005 smokers of one pack and 2,202 smokers of more than one pack.

Step-by-step explanation:

We have to write the transition matrix M for the population.

We have three states (nonsmokers, smokers of one pack and smokers of more than one pack), so we will have a 3x3 transition matrix.

We can write the transition matrix, in which the rows are the actual state and the columns are the future state.

- There is an 8% probability that a nonsmoker will begin smoking a pack or less per day, and a 2% probability that a nonsmoker will begin smoking more than a pack per day. Then, the probability of staying in the same state is 90%.

-  For smokers who smoke a pack or less per day, there is a 10% probability of quitting and a 10% probability of increasing to more than a pack per day. Then, the probability of staying in the same state is 80%.

- For smokers who smoke more than a pack per day, there is an 8% probability of quitting and a 10% probability of dropping to a pack or less per day. Then, the probability of staying in the same state is 82%.

The transition matrix becomes:

[tex]\begin{vmatrix} &NS&P1&PM\\NS& 0.90&0.08&0.02 \\ P1&0.10&0.80 &0.10 \\ PM& 0.08 &0.10&0.82 \end{vmatrix}[/tex]

The actual state matrix is

[tex]\left[\begin{array}{ccc}5,000&2,500&2,500\end{array}\right][/tex]

We can calculate the next month state by multupling the actual state matrix and the transition matrix:

[tex]\left[\begin{array}{ccc}5000&2500&2500\end{array}\right] * \left[\begin{array}{ccc}0.90&0.08&0.02\\0.10&0.80 &0.10\\0.08 &0.10&0.82\end{array}\right] =\left[\begin{array}{ccc}4950&2650&2400\end{array}\right][/tex]

In one month, we will have 4,950 non-smokers, 2,650 smokers of one pack and 2,400 smokers of more than one pack.

To calculate the the state for the second month, we us the state of the first of the month and multiply it one time by the transition matrix:

[tex]\left[\begin{array}{ccc}4950&2650&2400\end{array}\right] * \left[\begin{array}{ccc}0.90&0.08&0.02\\0.10&0.80 &0.10\\0.08 &0.10&0.82\end{array}\right] =\left[\begin{array}{ccc}4912&2756&2332\end{array}\right][/tex]

In two months, we will have 4,912 non-smokers, 2,756 smokers of one pack and 2,332 smokers of more than one pack.

If we repeat this multiplication 12 times from the actual state (or 10 times from the two-months state), we will get the state a year from now:

[tex]\left( \left[\begin{array}{ccc}5000&2500&2500\end{array}\right] * \left[\begin{array}{ccc}0.90&0.08&0.02\\0.10&0.80 &0.10\\0.08 &0.10&0.82\end{array}\right] \right)^{12} =\left[\begin{array}{ccc}4792.63&3005.44&2201.93\end{array}\right][/tex]

In a year, we will have 4,793 non-smokers, 3,005 smokers of one pack and 2,202 smokers of more than one pack.

Final answer:

After subtracting the length sawed off (4.1 cm) from the original length of the piece of wood (4.9 cm), the remaining length of the piece of wood is 0.8 centimeters.

Explanation:

The student's question is about subtracting two lengths given in centimeters to determine the remaining length of a piece of wood. To find out how long the piece of wood is after cutting, we subtract the length sawed off from the original length. So if the original piece of wood was 4.9 centimeters long, and the carpenter sawed off 4.1 centimeters, we perform the subtraction 4.9 cm - 4.1 cm to find the remaining length. The calculation is as follows:

Therefore, the piece of wood is now 0.8 centimeters long.

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To determine the optimal production schedule to maximize profits, we need to create a linear programming model using the simplex method.

To determine the optimal production schedule to maximize profits, we need to create a linear programming model using the simplex method. Let's define our decision variables as follows:

Our objective is to maximize the profit, so our objective function can be written as:

Z = 2.5x + 2y

We have the following constraints:

To solve this linear programming problem with the simplex method, we will use a software or calculator that supports linear programming.

Answer: 26 attendees had none of the three.

Step-by-step explanation:

The Venn diagram illustrating the situation is shown in the attached photo.

C represents the set of statisticians that had Caesar salad.

R represents the set of statisticians that had roast beef.

A represents the set of statisticians that had apple pie for dessert.

x represents the number that had Caesar salad and apple pie for dessert only.

y represents the number that had Caesar salad and roast beef.

z represents the number that had roast beef and apple pie for dessert only.

If 15 had at least two of those three offerings,it means that

x + y + z = 15

Therefore,

35 - (x + y + 2) + 28 - (y + z + 2) + 45 - (x + z + 2) + 2 + none = 100

35 - x - y - 2 + 28 - y - z - 2 + 45 - x - z - 2 + 2 + none = 100

35 + 28 + 45 - x - x - y - y - z - z - 2 - 2 - 2 + 2 + none = 100

108 - 2x - 2y - 2z - 4 + none = 100

108 - 4 - 2(x + y + z) + none = 100

Since x + y + z = 15, then

104 - 2(15) + none = 100

74 + none = 100

none = 100 - 74 = 26

Answer: 480 meters. squared

Given:

Given that the figure is a triangular prism.

The length of the prism is 4 m.

The base of the triangle is 2.5 m.

The height of the triangle is 2.25 m.

We need to determine the volume of the triangular prism.

Volume of the triangular prism:

The volume of the triangular prism can be determined using the formula,

[tex]V=\frac{1}{2}bhl[/tex]

where b is the base of the triangle,

h is the height of the triangle and

l is the length of the prism.

Substituting b = 2.5, h = 2.25 and l = 4 in the above formula, we get;

[tex]V=\frac{1}{2}(2.5)(2.25)(4)[/tex]

[tex]V=\frac{1}{2}(22.5)[/tex]

[tex]V=11.25 \ m^3[/tex]

Thus, the volume of the triangular prism is 11.25 m³

Answer:

they are called supplementary angles

Two angles whose measures add up to 180 degrees are called supplementary angles.

What are angles?

Angles are geometric figures formed by two rays that share a common endpoint called the vertex. The rays are often referred to as the sides or arms of the angle. Angles are typically measured in degrees and are used to quantify the amount of rotation or deviation between the two rays. They are commonly represented by a symbol, such as ∠ABC, where A, B, and C are points on the rays, with the vertex at point B.

The size of an angle is determined by the amount of rotation between the two rays, starting from one ray and ending at the other. A full rotation is equivalent to 360 degrees, and angles are measured counterclockwise from the initial ray. Depending on their measurement, angles can be classified into different types, such as acute (less than 90 degrees), right (exactly 90 degrees), obtuse (greater than 90 degrees and less than 180 degrees), and straight (exactly 180 degrees).

When two angles are supplementary, it means that they combine to form a straight angle, which is a straight line measuring 180 degrees. Supplementary angles can be adjacent (sharing a common vertex and side) or non-adjacent, but their sum will always equal 180 degrees. This property is fundamental in geometry and has various applications in solving problems involving angles and shapes.

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Answer:

x = 2968

Step-by-step explanation:

7277 + x = 10245

-7277         -7277 (Subtract 7277 from both sides to leave x by itself)

_____________

           x  = 2968

Could you give brainliest

Answer:

x =2968

Step-by-step explanation:

7277+x=10245

Subtract 7277 from each side

7277-7277+x=10245-7277

x =2968

Answer:

3 time 4 is 12 a and b is the same

Answer:

Dimensions of matrix:

r × c

r: no. of rows

c: no. of columns

Answer:

think 23 pot

Step-by-step explanation:

Answer:

Step-by-step explanation:

23

Answer:

just add every thing up to gether

Step-by-step explanation:

Answer:

P = 26 , A = 28

Step-by-step explanation:

P=a+b+c+d = 6+8+7+5=26

A = [tex]\frac{a+b}{2}h = \frac{6+8}{2} 4 = 28[/tex]

brainliest plz

Answer:

The probability that a randomly selected student likes jazz or country but not rock is 0.422.

Step-by-step explanation:

The information provided is:

Total number of students selected, N = 500.

The number of students who like rock, n (R) = 198.

The number of students who like country, n (C) = 152.

The number of students who like jazz, n (J) = 113.

The number of students who like rock and country, n (R ∩ C) = 21.

The number of students who like rock and Jazz, n (R ∩ J) = 22.

The number of students who like country and jazz, n (C ∩ J) = 16.

The number of students who like all three, n (R ∩ C ∩ J) = 5.

Consider the Venn diagram below.

Compute the probability that a randomly selected student likes jazz or country but not rock as follows:

P (J ∪ C ∪ not R) = P (Only J) + P (Only C) + P (Only J ∩ C)

                           [tex]=\frac{80}{500}+\frac{120}{500}+\frac{11}{500}\\=\frac{211}{500}\\=0.422[/tex]

Thus, the probability that a randomly selected student likes jazz or country but not rock is 0.422.

So, the required probability is,

P(Jazz or country but not rock) =0.422

To understand the calculations, check below.

It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that the number of students is 500.

Then the students like rock and country is [tex]21-5=16[/tex]

The students like rock and Jazz is [tex]22-5=17[/tex]

The students like country and Jazz is [tex]16-5=1[/tex]

Students like only rock is [tex]198-16-5-17=160[/tex]

Students like the only country are  [tex]152-16-5-11=120[/tex]

Students like only Jazz are [tex]113-17-5-11=80[/tex]

So, the P(Jazz or country but not rock) is,

[tex]P(Jazz\ or\ country\ but\ not\ rock)=\frac{120+11+80}{500} \\P(Jazz\ or\ country\ but\ not\ rock)=0.422[/tex]

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Answer:

What are the models?

Final answer:

Ella's rectangle has a length of 1/4 foot and a width of 3/4 foot. Multiplying these dimensions gives an area of 3/16 square foot, confirming that the model of her rectangle is correct.

Explanation:

The question presents a scenario where Ella has a rectangle with a length of 1/4 foot and a width of 3/4 foot. To find the area of a rectangle, you multiply the length by the width. Thus, the area of Ella's rectangle is calculated as follows:

Area = Length * Width
Area = (1/4) * (3/4)
Area = 3/16 square feet

The model that represents Ella's rectangle should be a scaled shape where the area corresponds to the given sides' lengths. Having a model with these dimensions and affirming that its area is 3/16 square foot simply verifies that the side lengths were used correctly to determine the rectangular area. This applies the concept that the area of a rectangle is a product of its length and width.

Answer:

90% confidence interval for the mean time per week spent listening to the radio is  [tex]11.5 \pm 1.676 \times \frac{9.2}{\sqrt{51} }[/tex] .

Step-by-step explanation:

We are given that a recent survey of 51 students reported that the average amount of time they spent listening to music was 11.5 hours per week, with a sample standard deviation of 9.2 hours.

Firstly, the pivotal quantity for 90% confidence interval for the population mean is given by;

                          P.Q. = [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex]  ~ [tex]t_n_-_1[/tex]

where, [tex]\bar X[/tex] = sample average amount of time spent listening to music = 11.5

             s = sample standard deviation = 9.2 hours

             n = sample of students = 51

             [tex]\mu[/tex] = population mean per week spent listening to the radio

Here for constructing 90% confidence interval we have used One-sample t test statistics as we know don't about population standard deviation.

So, 90% confidence interval for the population mean, [tex]\mu[/tex] is ;

P(-1.676 < [tex]t_5_0[/tex] < 1.676) = 0.90  {As the critical value of t at 50 degree of

                                        freedom are -1.676 & 1.676 with P = 5%}  

P(-1.676 < [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] < 1.676) = 0.90

P( [tex]-1.676 \times {\frac{s}{\sqrt{n} } }[/tex] < [tex]{\bar X-\mu}[/tex] < [tex]1.676 \times {\frac{s}{\sqrt{n} } }[/tex] ) = 0.90

P( [tex]\bar X-1.676 \times {\frac{s}{\sqrt{n} } }[/tex] < [tex]\mu[/tex] < [tex]\bar X+1.676 \times {\frac{s}{\sqrt{n} } }[/tex] ) = 0.90

90% confidence interval for [tex]\mu[/tex] = [ [tex]\bar X-1.676 \times {\frac{s}{\sqrt{n} } }[/tex] , [tex]\bar X+1.676 \times {\frac{s}{\sqrt{n} } }[/tex] ]

                  = [ [tex]11.5-1.676 \times {\frac{9.2}{\sqrt{51} } }[/tex] , [tex]11.5+1.676 \times {\frac{9.2}{\sqrt{51} } }[/tex] ]

                  = [9.34 hours , 13.66 hours]

Therefore, 90% confidence interval for the mean time per week spent listening to the radio is [9.34 hours , 13.66 hours].

The function f(x) = 1 - x^2/3 has f(-1) = f(1) = 2/3. The derivative f'(x) = -2x/3 equals zero at x=0, which is in the interval (-1, 1). Therefore, this does not contradict Rolle's Theorem.

The function given is f ( x ) = 1 - x ^ 2 /3. To find the values f(-1) and f(1), we simply substitute these values into the function. Therefore, f(-1) = 1 - (-1) ^ 2 /3 = 1 - 1/3 = 2/3 and f(1) = 1 - 1^2/3 = 2/3. As you can see, f(-1) = f(1).

Now, to find the value 'c' such that f'(c) = 0, first we need to determine the derivative of the function, f'(x) = -2x/3. Setting this equal to zero gives the equation 0 = -2x/3, which has the solution x = 0. Therefore, f'(c) = 0 at c = 0, which is within the interval (-1, 1).

Finally, regarding Rolle's Theorem which states that if a function is continuous on the closed interval [a, b], differentiable on the open interval (a, b), and f(a) = f(b), then there exists at least one c in the interval (a, b) such that f'(c) = 0, our results are consistent with Rolle's Theorem, since f is differentiable, f(-1) = f(1), and a 'c' value exists in the interval (-1, 1) such that f'(c) = 0.

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Answer:

Step-by-step explanation:

There are 5numbers and 3 letters. Each number can be one among the 10 possible.

Each letter is 1 among the 26 available.

a)The number of possible unique serial numbers are

10^5x 26³

The number of 5 number combinations each different (order important) is 5!(10/5)= 30240

The number of 3 letter combinations each different (order important) is 3!(26/3)=15600

The required probability (that all symbols are different if one laptop is picked at random with equal probability) is

15600x3240/ 10^5x 26³=0.2684

b) The first letter must be at least 4 to be largest among the 5 numbers. So the first letter can be one of . 4,5,6,7,8,9..

The number of 5 number combinations each different and starting with 4 (order important) is .

4!=24

The number of 5 number combinations each different and starting with 5 (order important) is .

4!(5/4)= 120

The number of 5 number combinations each different and starting with 6 (order important) is .

4!(6/4)= 360

The number of 5 number combinations each different and starting with 7 (order important) is .

4!(7/4)= 840

The number of 5 number combinations each different and starting with 8 (order important) is

4!(8/4)= 1680

The number of 5 number combinations each different and starting with 9 (order important) is .

4!(9/4)= 3024

Thus, there are

The required probability ( that all symbols are different and the first number is the largest among the numbers) is

15600* 6040/10^5x 26³= 0.0537

Answer:

y=25

Step-by-step explanation:

10*2=20

20+5=25

Final answer:

When x=10, the value of the function y=2x+5 is 25, found by substituting 10 for x and following the order of operations.

Explanation:

The value of the function y=2x+5 when x=10 can be found by substituting the value of x into the equation. To do this, multiply 2 by 10 and then add 5 to the result:

y = 2(10) + 5

y = 20 + 5

y = 25

Therefore, when x equals 10, the value of the function is 25.

Answer:

False

Step-by-step explanation:

Common sense

Answer:

Step-by-step explanation:

Answer: Group B

Step-by-step explanation:

The histogram constructed by group 2 is centered at 67.5, which is the true mean height of all students at the school, so this histogram displays low bias. The values of the statistics also do not vary greatly from the mean, as can be seen by the lower variability of the histogram. Group 2 produced sample statistics that estimated the true value of the parameter with relatively low bias and low variability.

Answer:

The correct answer is (B).

Step-by-step explanation:

The histogram constructed by group 2 is centered at 67.5, which is the true mean height of all students at the school, so this histogram displays low bias. The values of the statistics also do not vary greatly from the mean, as can be seen by the lower variability of the histogram. Group 2 produced sample statistics that estimated the true value of the parameter with relatively low bias and low variability.

Answer: HI

Step-by-step explanation:

Answer:

Wizard123Ambitious

C = 2*pi*radius

radius = 15+5 = 20

C = 2*pi*20 = 40*pi = 125.6

Step-by-step explanation:

Answer:

$12.90

Step-by-step explanation:

multiply a $1.29 by 10 pounds and you get your answer:)

Answer:

$12.90

Step-by-step explanation

10 x $1.29=$12.90

or

move the decimal 1 time to the right