sampling on campus. you see a woman student standing in front of the student center, now and then stopping other students to ask them questions. she says that she is collecting student opinions for a class assignment. explain why this sampling method is almost certainly biased.

It would take Abigail 10 hours to drive 215 miles at this speed.

A proportion to solve this problem:

Let x be the number of hours it would take Abigail to drive 215 miles.

Then, we can set up the following proportion:

4/86 = x/215

To solve for x, we can cross-multiply:

4 × 215 = 86 × x

860 = 86x

Finally, we can isolate x by dividing both sides by 86:

x = 10

To fill out the table of equivalent ratios:

Hours Distance

4 86

x 215

We can set up the equivalent ratio as:

4/86 = x/215

Cross-multiply and solve for x as shown above.

A ratio to address this issue is:

Let x be the total time Abigail would need to go 215 miles.

Then, we may establish the ratio shown below:

4/86 = x/215

We can cross-multiply to find x:

4 × 215 = 86 × x 860 = 86x

By dividing both sides by 86, we can finally isolate x: x = 10.

To complete the corresponding ratios table:

Hours Distance

4 86 x 215

The corresponding ratio may be written as follows:

4/86 = x/215

Cross-multiply and find x as previously demonstrated.

For similar questions on Speed

https://brainly.com/question/13943409

#SPJ11

Answer:

0.75 = P(A or B)

Step-by-step explanation:

Since the events are disjoint, we can find the probability of one or the other occurring merely by adding P(A) and P(B):  0.55 + 0.2 = 0.75 = P(A or B)

For the function: (x-4)(x+2)

Point these coordinates and draw a curve on the graph.

Answer:

See below ~

Step-by-step explanation:

Information needed to sketch the graph's function :

Graph :

By plotting these points on a graph, and connecting the points by a curve, we obtain the resultant graph of the function :

The expression of the inequality statement is (a) (a) 10 - 1/4r > 5

From the question, we have the following parameters that can be used in our computation:

One-fourth of r subtracted from ten is greater than five

Express as numbers and operators

So, we have

1/4 of r subtracted from 10 is greater than 5

Introduce the inequality symbol

So, we have the following representation

1/4 of r subtracted from 10 > 5

Express "subtracted" and "or" as operators

So, we have the following representation

10 - 1/4r > 5

Hence, the expression is (a) 10 - 1/4r > 5

Read more about inequality at

brainly.com/question/25275758

#SPJ1

relation between two slopes of two perpendicular line are equal.

The relationship between the slopes of two perpendicular lines is that the product of the slopes of the two lines is equal to -1.

Two geometric objects are perpendicular in elementary geometry if they intersect at a right angle. When two lines cross at a straight angle, they are said to be perpendicular.

The relationship between the slopes of two perpendicular lines is that the product of the slopes of the two lines is equal to -1. Therefore, assuming that there are two lines that are perpendicular to each other such that the slope of the two lines is m₁ and m₂. Therefore, we can write the relation as,

m₁ × m₂ = -1

Hence, the relationship between the slopes of two perpendicular lines is that the product of the slopes of the two lines is equal to -1.

Learn more about Perpendicular lines here:

https://brainly.com/question/18271653

#SPJ2

Answer:

we need to know how many students are in the class

if there are more boys, than the probability of picking a boy is higher, and if there is more girls, the probability of picking a girl is higher and if the amount of boys and girls are the same, then the probability of picking a girl or a boy is the same.

Step-by-step explanation:

Please mark my answer as brainliest

Answer:

9 sqrt(5)

Step-by-step explanation:

La altura relativa a la hipotenusa corta la hipotenusa en dos segmentos.

Defina x como

x = la longitud de uno de esos segmentos

Entonces, la longitud del otro segmento = 15 - x.

Entonces, por el teorema, tenemos que (15-x) (x) = 36, de modo que

15x - x ^ 2 = 36

x ^ 2 - 15x + 36 = 0

(x-3) (x-12) = 0

Entonces, x = 3 o x = 12.

Sin pérdida de generalidad. sea ​​x = 3.

Entonces, la suma de las dos piernas es

raíz cuadrada (6 ^ 2 + 3 ^ 2) + raíz cuadrada (12 ^ 2 + 6 ^ 2) =

raíz cuadrada (36 + 9) + raíz cuadrada (144 + 36) =

raíz cuadrada (45) + raíz cuadrada (180) =

raíz cuadrada (9 * 5) + raíz cuadrada (36 * 5) =

3 raíz cuadrada (5) + 6 raíz cuadrada (5) =

9 cuadrados (5)

Answer:

A

Step-by-step explanation:

quotient is answer to division problem

Answer:  A.

Step-by-step explanation:

In the division model you divide to find the number of counters in each group. ... In multiplication the numbers you multiply are called factors; the answer is called the product. In division the number being divided is the dividend, the number that divides it is the divisor, and the answer is the quotient.

I hope this helps plz tell me if its wrong so i can fix it.

Answer:

see attached

Step-by-step explanation:

Morning:

12, 19, 19, 21, 23, 25, 27, 31, 36, 39

Min value: 12

Lower quartile (Q1): 19

Median (Q2): 24

Upper Quartile (Q3): 31

Max value: 39

Afternoon:

8, 8, 11, 15, 16, 27, 34, 39, 43, 51

Min value: 8

Lower quartile (Q1): 11

Median (Q2): 21.5

Upper Quartile (Q3): 39

Max value: 51

Answer:

7.  AM IQR: 12   PM: IQR: 28  8. see below in explanation

Step-by-step explanation:

7. 31-19=12

    39-11= 28

You subtract Q1 from Q3 to get the IQR.

8. I believe the morning group of dogs would be easier to walk as one group because the group has a closer range of weights (12-39) compared to the afternoon group of (8-51). Walking a large group of dogs with similar weights would be easier than walking a group of very small and very large dogs at the same time because their pace of walking would be so different.

Answer: mass of silver is 75g

Step-by-step explanation:

A stratified sample is a type of probability sample where the population is divided into segments related to the study's topic before selecting participants.

In a stratified sample, the researcher divides the population into distinct subgroups or strata based on certain characteristics or variables that are relevant to the study. Each subgroup or stratum represents a smaller, homogeneous subset of the population. The characteristics used to create the strata could be demographic factors such as age, gender, ethnicity, or any other relevant variables.

Once the population is divided into strata, participants are then randomly selected from each stratum using probability sampling techniques. This ensures that the sample obtained is representative of the overall population in terms of the characteristics or variables of interest.

By utilizing a stratified sample, researchers can ensure that each subgroup or stratum is adequately represented in the sample, allowing for more accurate and precise conclusions to be drawn about the entire population. Stratified sampling is particularly useful when there is significant heterogeneity within the population, as it allows for targeted and focused analysis within specific subgroups.

Learn more about Stratified sampling here:

https://brainly.com/question/30397570

#SPJ11

Answer:

72.5%

Step-by-step explanation:

To express a value as a %:

value/whole x 100 = 29 / 40 x 100

This gives you 72.5%

Hope this helps

ASA triangle congruence theorems would be used in this proof.

What is ASA rule ?

According to the ASA rule, two triangles are said to be congruent if any two of the angles and sides that make up one triangle are equal to the corresponding two angles and sides that make up the other triangle.

When two or more triangles are congruent, their corresponding angles and sides are also congruent, according to the formula CPCTC, which stands for "corresponding parts of congruent triangles are congruent".

So, AB=CD

Thus, ASA  triangle congruence theorems would be used in this proof.

To learn more about the ASA postulate from the given link

https://brainly.com/question/2938476

#SPJ1

Answer: 52=y and 15=x

Step-by-step explanation:

Since we know m and n are parallel that means alternate exterior angles are equal to each other.

The angle with 8x+8= the angle above the one that says 3x+7

Two angles on a line add up to 180 so 8x+8+3x+7=180

Now we can solve

\(8x+8+3x+7=180\\(8x+3x)+(8+7)=180\\11x+15=180\\11x+15-15=180-15\\11x=165\\\frac{11x}{11} =\frac{165}{11} \\x=15\)

Now we know that x=15

The angle y and the angle of 3x+7 are corresponding angles. Corresponding angles are congruent. Subbing in 15 for x we can solve for y

\(3(15)+7=y\\45+7=y\\52=y\)

Answer:

55°

Step-by-step explanation:

A triangle always has 180° and if we know 2 angles we can just subtract those 2 angles from 180 to find the last angle, which is 55

Answer:

55

Step-by-step explanation:

because if you add 50 and 75 and then subtract it by 70 you will get 55

The physical unit method is used to allocate joint costs to the products.

In the physical unit method, joint costs are allocated based on the physical quantities of each product. The joint costs are distributed in proportion to the weight or volume of the products.

In this case, the joint costs incurred in the slaughtering process are allocated to the products: Fresh Meat, Biltong, Hides, and Horns.

=To allocate the joint costs using the physical unit method:

Calculate the total weight of each product:

Fresh Meat: 100 kg per animal x 250 animals = 25,000 kg

Biltong: 70 kg per animal x 250 animals = 17,500 kg

Hides: 40 kg per animal x 250 animals = 10,000 kg

Horns: 10 kg per animal x 250 animals = 2,500 kg (pairs of horns are considered as separate units)

Calculate the total weight of all products:

Total weight = Fresh Meat + Biltong + Hides + Horns

Total weight = 25,000 kg + 17,500 kg + 10,000 kg + 2,500 kg = 55,000 kg

Calculate the cost per kilogram of joint costs:

Joint costs = Variable costs + Fixed costs

Joint costs = (N$1.00 per kg x 55,000 kg) + N$108,000

Joint costs = N$55,000 + N$108,000 = N$163,000

Allocate the joint costs to each product:

Fresh Meat: (Fresh Meat weight / Total weight) x Joint costs

Biltong: (Biltong weight / Total weight) x Joint costs

Hides: (Hides weight / Total weight) x Joint costs

Horns: (Horns weight / Total weight) x Joint costs

The allocated joint costs for each product can be calculated accordingly.

Learn more about physical unit method here

brainly.com/question/26648397

#SPJ11

Answer:12

Step-by-step explanation:

dive 36 plates by by the amount of plates per stack (3)

Since f is decreasing and g is increasing, we can say that fog is decreasing on [0, 1]. Hence, fog is bounded on [0, 1] and is integrable on [0, 1]. Therefore, statement (iii) must be true. The correct option is (i) and (iii).

Given that f is a decreasing function and g is an increasing function from [0, 1] to [0, 1].

We need to find which of the following statement(s) must be true.

(i) If f is integrable.

(ii) fg is integrable.

(iii) fog is integrable.

(i) If f is integrable.If f is integrable on [0, 1], then we can say that f is bounded on [0, 1].

Also, since f is decreasing,

f(0) ≤ f(x) ≤ f(1) for all x ∈ [0, 1].

Hence, f is integrable on [0, 1].

Therefore, statement (i) must be true.(ii) fg is integrable.

Since f and g are both bounded on [0, 1], we can say that fg is also bounded.

Since f is decreasing and g is increasing, fg is neither increasing nor decreasing on [0, 1].

Therefore, we can not comment on its integrability.

Hence, statement

(ii) is not necessarily true.

(iii) fog is integrable.

Since f is decreasing and g is increasing, we can say that fog is decreasing on [0, 1].

Hence, fog is bounded on [0, 1] and is integrable on [0, 1].

Therefore, statement (iii) must be true.

The correct option is (i) and (iii).

To learn more about fog visit;

https://brainly.com/question/30970077

#SPJ11

Hey there!

4x + 1/2 + 2x - 3

COMBINE the LIKE TERMS

= (4x + 2x) + (1/2 - 3)

TRYING to SIMPLIFY THEM

4x + 2x

= 6x

1/2 - 3

= -5/2

ANSWER

6x + (-5/2)

Therefore, your answer should be: 6x + -5/2

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

The probability that the experiment results in an outcome less than 40 is 0.25.

To calculate the probability, we need to determine the range of outcomes that are less than 40 out of the total range of 30 to 80. The total range is 80 - 30 = 50. The range of outcomes less than 40 is 40 - 30 = 10.

To find the probability, we divide the range of outcomes less than 40 by the total range:

Probability = (Range of outcomes less than 40) / (Total range)

          = 10 / 50

          = 0.2

Therefore, the probability that the experiment results in an outcome less than 40 is 0.2 or **20%**.

Learn more about probability here

https://brainly.com/question/25839839

#SPJ11

       For C1(Q) = 3 - 2Q.

        For C2(Q) =  4.

     2. The AVC function

           For C1(Q) = 5/Q + 3 + 20/Q - Q.

           For C2(Q) = 3/Q + 4 + 2/Q.

     3. The AFC function

              For C1(Q)= 5/Q - 20/(5 + 3Q + 20/Q - Q)

              For C2(Q) = 0.

     4.  To find the AC function

        For C1(Q) = (5 + 3Q + 202 - Q^2)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q).

         For C2(Q) = (3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q.

    5.To find the ATC function

    For C1(Q)= 5/Q² + 3/Q + 20/Q² - Q/Q + 5/Q - 20/(5Q + 3Q² + 20 - Q²)

     For C2(Q)= 3/Q² + 4/Q + 2/Q² + 3/Q + 4/Q + 2/Q.

1. To find the MC function, we take the derivative of the cost functions with respect to Q.

For C1(Q) = 5 + 3Q + 202 - Q^2, MC1(Q) = 3 - 2Q.

For C2(Q) = 3 + 4Q + 2, MC2(Q) = 4.

2. To find the AVC function, we divide the cost functions by Q.

For C1(Q), AVC1(Q) = (5 + 3Q + 202 - Q^2)/Q = 5/Q + 3 + 20/Q - Q.

For C2(Q), AVC2(Q) = (3 + 4Q + 2)/Q = 3/Q + 4 + 2/Q.

3. To find the AFC function, we subtract the AVC function from the ATC function.

For C1(Q), AFC1(Q) = (5 + 3Q + 202 - Q^2)/Q - (5 + 3Q + 202 - Q^2)/(5 + 3Q + 20/Q - Q)

= 5/Q - 20/(5 + 3Q + 20/Q - Q).

For

C2(Q), AFC2(Q) = (3 + 4Q + 2)/Q - (3 + 4Q + 2)/(3/Q + 4 + 2/Q) = 0.

4. To find the AC function, we add the AVC function to the AFC function.

For

C1(Q), AC1(Q) = (5 + 3Q + 202 - Q^2)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q).

For

C2(Q), AC2(Q) = (3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q.

5. To find the ATC function, we divide the AC function by Q.

For

C1(Q), ATC1(Q) = [(5 + 3Q + 202 - Q²)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q)]/Q

= 5/Q² + 3/Q + 20/Q² - Q/Q + 5/Q - 20/(5Q + 3Q² + 20 - Q²).

For

C2(Q), ATC2(Q) = [(3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q]/Q

= 3/Q² + 4/Q + 2/Q² + 3/Q + 4/Q + 2/Q.

Learn more about  Average Total Cost

brainly.com/question/29306232

#SPJ11

Answer:

2<-1

Step-by-step explanation:

7s-9<6s-10

-6s. -6s.

S-9<-10

+9. +9

S<-1

Answer:

122 tickets were sold for adults and the rest is for children.

Step-by-step explanation:

Answer:

r = 1/5

Step-by-step explanation:

Substitute x=15 and y=3 into the equation given.

Transpose so that r = 3/15

Simply 3/15

r = 1/5

Answer:

4.4/22 = .2

r=.2

Step-by-step explanation:

Answer:

28/85

Explanation:

First Urn

Total number of balls = 7+10 =17

Number of white balls =7

P(White) = 7/17

SecondUrn

Total number of balls = 8+2=10

Number of white balls =8

P(White) = 8/10

Therefore, if a ball is drawn at random from each urn, the probability that both balls are white will be:

The minimum number of points that the line has to pass through for it to be a good model is 2.


- A line can be used to model the relationship between two quantitative variables on a scatter plot.
- The line should pass through at least two points to be a good model.
- If the line passes through only one point, it may not represent the overall trend or pattern of the data.
- If the line passes through more than two points, it may be overfitting the data and not accurately represent the relationship between the variables.


A scatter plot is a visual representation of the relationship between two quantitative variables. It consists of a set of points that are plotted on a two-dimensional plane. The position of each point is determined by the values of the two variables being studied.

To model the relationship between the variables, a line can be drawn on the scatter plot. The line should pass through as many points as possible to accurately represent the trend or pattern of the data. However, the line should not pass through too many points as it may overfit the data and not accurately represent the relationship between the variables.

In the given scenario, Rachael has plotted 10 points on a scatter plot to investigate the relationship between two quantitative variables. She wants to use a line to model the relationship. The minimum number of points that the line has to pass through for it to be a good model is 2. This is because a line that passes through only one point may not represent the overall trend or pattern of the data, while a line that passes through more than two points may be overfitting the data and not accurately represent the relationship between the variables.

Therefore, to create a good model for the relationship between the two quantitative variables, the line should pass through at least two points on the scatter plot.

To know more about quantitative variables visit:

brainly.com/question/28280619

#SPJ11

Answer:

THX FOR POINTS

Step-by-step explanation:

Answer:

x = 4\(\sqrt{3}\), y = 8\(\sqrt{3}\)

Step-by-step explanation:

Using the tangent ratio in the right triangle and the exact value

tan30° = \(\frac{\sqrt{3} }{3}\) , then

tan30° = \(\frac{opposite}{adjacent}\) = \(\frac{x}{12}\) = \(\frac{\sqrt{3} }{3}\) ( cross- multiply )

3x = 12\(\sqrt{3}\) ( divide both sides by 3 )

x = 4\(\sqrt{3}\)

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

Using Pythagoras' identity in the right triangle

y² = x² + 12² = (4\(\sqrt{3}\) )² + 144 = 48 + 144 = 192 ( take square root of both sides )

y = \(\sqrt{192}\) = \(\sqrt{64(3)}\) = 8\(\sqrt{3}\)

Answer:

x<16

Step-by-step explanation:

let x be the number

2x8>x

16>x

From analysis, it is seen that the probability of winning when playing regular defense is higher than the probability of winning with *prevent* defence.

We will assume that a total of 100 games were reviewed.

50 games used regular defense method.

The remaining 50 games used the prevent defense method.

Out of the 50 regular defense games, 38 were win while 12 games were lose.

Out of 50 prevent defense game, 29 were win, while 21 games were lose.

Thus, the Probability of winning by regular defense is:

P(win | regular) = 38/50

P(win | regular) = 0.76

Probability of winning by playing prevent defense is:

P(win | prevent) = 29/50 = 0.58

From the above analysis we observe that the probability of winning by using the regular defense method is greater than the probability of winning by prevent defense method.

That is 0.76 > 0.58.

Read more about Probability of Winning at: https://brainly.com/question/24756209

#SPJ1