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What is the length of MN? Round your answer to the tenths.

Answer:

The 95% confidence interval for the proportion of all people in the United States who would indicate that their favorite sport to watch on television is American football is (0.34, 0.40). This means that we are 95% sure that the true proportion of all people in the United States who would indicate that their favorite sport to watch on television is American football is between (0.34 and 0.40).

The lower bound of the confidene interval is higher than 0.33. So it is not reasonable to believe that 33% is the actual percent of people in the United States whose favorite sport to watch on television is American football, this estimate should be higher than 33%.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).

For this problem, we have that:

\(n = 1000, \pi = 0.37\)

95% confidence level

So \(\alpha = 0.05\), z is the value of Z that has a pvalue of \(1 - \frac{0.05}{2} = 0.975\), so \(Z = 1.96\).

The lower limit of this interval is:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.37 - 1.96\sqrt{\frac{0.37*0.63}{1000}} = 0.34\)

The upper limit of this interval is:

\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.37 + 1.96\sqrt{\frac{0.37*0.63}{1000}} = 0.40\)

The 95% confidence interval for the proportion of all people in the United States who would indicate that their favorite sport to watch on television is American football is (0.34, 0.40). This means that we are 95% sure that the true proportion of all people in the United States who would indicate that their favorite sport to watch on television is American football is between (0.34 and 0.40).

Based on your answer to the previous problem, is it reasonable to believe that 33 percent is the actual percent of people in the United States whose favorite sport to watch on television is American football

The lower bound of the confidene interval is higher than 0.33. So it is not reasonable to believe that 33% is the actual percent of people in the United States whose favorite sport to watch on television is American football, this estimate should be higher than 33%.

The 95% Confidence Interval we will found for given case is:

(0.34, 0.40)

It is Not reasonable to believe that  33 percent is the actual percent of people in the United States whose favorite sport to watch on television is American football

95% confidence interval for the proportion of all people in the United States who would indicate that their favorite sport to watch on television is American football.

When there is n sample size and the probability of success is p with level of significance \(\alpha\)calculated as:

\(CI = p \pm z_0 \sqrt{\dfrac{p(1-p)}{n}\)

Where \(z_0\) is the z score  \(1- \dfrac{\alpha}{2}\) .

1 -  \(\alpha\) = 0.95 ( since it is given to find 95% CI)

Thus,  \(\alpha\)  = 0.05

The z score at p value = 1 -  \(\alpha\)/2 = 1 -0.025 = 0.975 is 1.96

Thus we have:

\(CI = p \pm z_0 \sqrt{\dfrac{p(1-p)}{n}}\\\\CI = 0.37 \pm 1.96 \sqrt{\dfrac{0.37 \times0.63 }{1000}}\\\\CI = 0.37 \pm 1.96 \times 0.0152 = 0.37 \pm 0.03\\\)

Lower limit of CI = 0.34 and Upper limit of CI = 0.40.

The case to decide to believe that 33 percent is the actual percent of people in the United States whose favorite sport to watch on television is American football can be solved as:

33% = 0.33 probability of actually liking watching american probability.

Since 0.33 is lower than the lower limit of CI for 0.37 probability, thus we reject the null hypothesis that both 0.37 and 0.33 are approximately same, and thus decide that it is false that 0.33 percent believe that 33 percent is the actual percent of people in the United States whose favorite sport to watch on television is American football.

Thus it is not reasonable to believe that 33% is the actual percent of people in the United States whose favorite sport to watch on television is American football.

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Answer:

7/8

Step-by-step explanation:

I think but im 60% im right

\(f(x)=\sqrt{x} -2\) is the correct option

Answer:

972

Step-by-step explanation:

Answer:

Step-by-step explanation:

5 is a factor of 15 and 35

15:35 = 3:7

The solution for x in the equation x + 3x + 5 + 2 = ? is x = (? - 7) / 4.

We must first reduce the equation's left side in order to find the value of x in the formula x + 3x + 5 + 2 =?

x + 3x + 5 + 2 = 4x + 7

The formula for the equation is now 4x + 7 =? We must isolate x on one side of the equation in order to find its value. By taking 7 away from both sides, we can accomplish this:

4x + 7 - 7 = ? - 7

After examining the right side and simplifying the left, we arrive at:

4x = ? - 7

Now, we must split both sides by 4 in order to isolate x:

4x / 4 = (? - 7) / 4

After examining the right side and simplifying the left, we arrive at:

x = (? - 7) / 4

As a result, x = (? - 7) / 4 is the answer to the equation x + 3x + 5 + 2 =?

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Answer:

667.302???

Step-by-step explanation:

I tried my best but I don't know if it's right though

Title: The Number of Coins That Teachers Carry with Them

Research Report

1. Research Question: What is the average number of coins carried by teachers?

2. Data Source: The data will be collected directly from teachers in a sample group.

3. Data Collection Instrument: A survey questionnaire will be used to collect the necessary data. The questionnaire will contain questions about the number of coins carried by teachers on a regular basis.

4. Data Type: Numerical data will be obtained, specifically discrete data.

5. Instrument Questions:

a) How many coins do you carry with you on a daily basis?

b) What is the highest number of coins you have carried with you?

6. Completed Instrument: Please find the attached completed survey questionnaire.

7. Data Collection: Data will be gathered from a sample of 20-25 respondents using the survey questionnaire.

8. Tally Marks and Data Table:

Number of Coins Tally

1

2

3

4

5

6

7

8

9

10

Step 2: Representing Data

9. The graph that best represents the data collected would be a bar graph. A bar graph is suitable for displaying discrete numerical data, such as the number of coins carried by teachers. It allows for easy visualization and comparison of the frequencies of different coin quantities.

Graph:

 |          

 |  |        

 |  ||    |  

 |  |||   |  

 |  ||||  |  

 |  ||||  |  

 |  ||||  |  

 |  ||||  |  

 |  ||||  |  

-----+--------+-----

1 5 10 15 20

10. Questions for Interpreting the Graph:

a) What is the most common number of coins carried by teachers?

b) How many teachers carry more than five coins with them?

11. Interpretation:

Based on the bar graph, it can be observed that the most common number of coins carried by teachers is around 4. Additionally, approximately 10 teachers carry more than five coins with them. This information provides insights into the typical coin-carrying habits of teachers within the sample group.

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Answer:

.45

Step-by-step explanation:

it wants u to divide 5.40 by 12

HOPE THIS HELPS CHU (≧w≦)

Answer: 9

Step-by-step explanation:

It's odd numbers. Also the pattern is counting by 2 every time.

Answer: 2(x+3)(x+2)

Step-by-step explanation:

Answer:

he spent 2hours 50minutes snowboarding

the time he spent skiing and snowboarding minus the time he skied

5hours minus 2hours 10minutes

Answer:

the answer is 0.09 I think

Answer:

0.09

Step-by-step explanation:

First, drop the % sign. Next, move the decimal point two places to the left. Because 9 is only one digit, you have to add a placeholder zero to show the two decimal places. The answer is 9% written as a decimal is 0.09.

Answer:

2 + y = 11      y = 9

Step-by-step explanation:

Steps

2 + y = 11

subtract 2 from both sides

2 + y - 2 = 11 - 2

y = 9

Answer: 65

Step 1: Multiply and add until you get 49.

11 x 4 = 44.

44 + 5 = 49.

Step 2: Multiply and add until you get 26, because 7:11 to 49 boys is 26,       26 : 49.

7 x 3 = 21.

21 + 5 = 26.

Step 3: Add 26 and 49.

26 + 49 = 65

Answer:

126 students

Step-by-step explanation:

Boys : Girls

7 : 11

How do you get from 7 to 49?

49 ÷ 7 = 7

Therefore, you should multiply the number of boys by 7.

Multiply:

7 : 11

7 × 7 = 49

49 : 11

Remember that whatever we do to the left, do to the right.

Multiply:

49 : 11

11 × 7 = 77

49 : 77

Now, let's add the number of boys and girls in the class to find the total number of students.

Add:

49 + 77 = 126

Therefore, there are 126 students in all.

Answer:

About 7.886%

Step-by-step explanation:

Total Payments $405,016

Total Interest $250,016

Monthly payment

Monthly principal and interest payment (PI).

Total payments

Total of all monthly payments over the full term of the mortgage. This total payment amount assumes that there are no prepayments of principal.

Total interest

Total of all interest paid over the full term of the mortgage. This total interest amount assumes that there are no prepayments of principal.

Prepayment type

The frequency of prepayment. The options are none, monthly, yearly and one-time payment.

Prepayment amount

Amount that will be prepaid on your mortgage. This amount will be applied to the mortgage principal balance, based on the prepayment type.  

It should be noted that the expression that can be used to identify the x-values for which f(x)>-2 will be -2 <= x <= 2. This is illustrated in the graph.

It should be noted that a graph is a diagram that is used to show the relationship that exists between the data presented or the information.

In this case, ut should be noted that the expression that can be used to identify the x-values for which f(x)>-2 will be -2 <= x <= 2. This is illustrated in the graph.

The graph is attached below.

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Solution:

Given:

The distance between the points is gotten using the formula;

Hence,

Therefore, the distance between (3,4) and (2,1) is;

Answer:

They got $91 in total

Step-by-step explanation:

I did some trial and error and when I reached 65 dollars for Gavin I realized that Jim would be $29. So 65 - 29 = $39. Btw substitute $ for £

Answer: £91

Step-by-step explanation:

Let x be the amount of money Jim gets

Let x + 39 be the amount of money Gavin gets

Given information

Ratio = 5 : 2 (Gavin to Jim)

Jim = x

Gavin = x + 39

Set up proportion

5 / 2 = (x + 39) / x

Cross multiply to reduce fraction form

5x = 2 (x + 39)

Expand parentheses and apply the distributive property

5x = 2 · x + 2 · 39

5x = 2x + 78

Subtract 2x on both sides

5x - 2x = 2x + 78 - 2x

3x = 78

Divide 3 on both sides

3x / 3 = 78 / 3

x = 26

Find the amount of money they get altogether

Gavin + Jim

=x + 39 + x

=(26) + 39 + (26)

=65 + 26

=\(\boxed{91}\)

Hope this helps!! :)

Please let me know if you have any questions

Let's assume that John buys x boxes of Cereal A and y boxes of Cereal B. Then, we can write the following system of inequalities based on the nutrient and calorie requirements:

10x + 5y ≥ 500 (minimum 500 units of vitamins)

5x + 10y ≥ 600 (minimum 600 units of minerals)

15x + 15y ≥ 1200 (minimum 1200 calories)

We want to minimize the cost, which is given by:

0.5x + 0.4y

This is a linear programming problem, which we can solve using a graphical method. First, we can rewrite the inequalities as equations:

10x + 5y = 500

5x + 10y = 600

15x + 15y = 1200

Then, we can plot these lines on a graph and shade the feasible region (i.e., the region that satisfies all three inequalities). The feasible region is the area below the lines and to the right of the y-axis.

Next, we can calculate the value of the cost function at each corner point of the feasible region:

Corner point A: (20, 40) -> Cost = 20

Corner point B: (40, 25) -> Cost = 25

Corner point C: (60, 0) -> Cost = 30

Therefore, the minimum cost is $20, which occurs when John buys 20 boxes of Cereal A and 40 boxes of Cereal B.

The mistake each student made and what each student needs to do to fix their mistake is;

x² - 6x + 8 = 0

x = - b ± √b² - 4ac / 2a

where,

x = - b ± √b² - 4ac / 2a

= -(-6) ± √(-6)² - 4(1)(8) / 2(1)

= 6 ± √36 - 32 / 2

= 6 ± √4 / 2

= 6 ± 2 / 2

x = 6/2 + 2/2 or 6/2 - 2/2

= 3 + 1 or 3 - 1

x = 4 or 2

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The ratio of the volumes of the two similar solids that have a scale factor of 5:3 is: 125:27.

If two solids that are similar to each other, have volumes A and B respectively, and have a scale factor of a:b, thus, the ratio of their volumes would be expressed as:

Volume of solid A/Volume of solid B = a³/b³

or

Volume of solid A : Volume of solid B = a³ : b³

Thus, the given similar solids have a scale factor of 5:3, therefore, the ratio of their volumes would be expressed as shown below:

5³ : 3³

125 : 27

Thus, the ratio of the volumes of the two similar solids that have a scale factor of 5:3 is: 125:27.

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We can complete the blanks with the following ratios:

(7.5 mi/1) * (1 mi/ 5280 ft) * (400ft/1 yd) * (3 ft/1 ft) =33 flags

Since we do not need a flag at the starting line, then 32 flags will be required in total.

To solve the problem, we would first convert 400 yds to feet and miles.

To convert to feet, we multiply by 3. This gives us: 400 yd * 3 = 1200 feet.

To convert to miles, we would have 0.227 miles.

Now, we divide the entire race distance by the number of miles divisions.

This gives us:

7.5 mi /0.227 mi

= 33 flags

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Segments MS and QS are therefore congruent by the definition of bisector. Therefore, the correct answer option is: D. MS and QS.

In Mathematics and Geometry, a perpendicular bisector is a line, segment, or ray that bisects or divides a line segment exactly into two (2) equal halves and forms an angle that has a magnitude of 90 degrees at the point of intersection.

This ultimately implies that, a perpendicular bisector bisects a line segment exactly into two (2) equal halves, in order to form a right angle that has a magnitude of 90 degrees at the point of intersection.

Since line segment NS is a perpendicular bisector of isosceles triangle MNQ, we can logically deduce the following congruent relationships;

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Complete Question:

The proof that ΔMNS ≅ ΔQNS is shown. Given: ΔMNQ is isosceles with base MQ, and NR and MQ bisect each other at S. Prove: ΔMNS ≅ ΔQNS

We know that ΔMNQ is isosceles with base MQ. So, MN ≅ QN by the definition of isosceles triangle. The base angles of the isosceles triangle, ∠NMS and ∠NQS, are congruent by the isosceles triangle theorem. It is also given that NR and MQ bisect each other at S. Segments _____ are therefore congruent by the definition of bisector. Thus, ΔMNS ≅ ΔQNS by SAS.

NS and NS

NS and RS

MS and RS

MS and QS

Average cost per square foot to build a fast-food restaurant is $238 .

The division is the process of repetitive subtraction. It is the inverse of the multiplication operation. It is defined as the act of forming equal groups. While dividing numbers, we break down a larger number into smaller numbers.

Given,

Area of the restaurant = 4000 sqft

Total average cost to build the restaurant

= $952000

Average cost of per sqft

= 952000/4000

= $238

Hence, $238 is the average cost per square foot to build a fast-food restaurant.

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9514 1404 393

Answer:

  ∠B = 53°

  ∠C = 127°

  ∠D = 127°

Step-by-step explanation:

The trapezoid is isosceles, as indicated by the hash marks on sides AD and BC. This means it is symmetrical about the vertical center-line. Angles on the right will have the same measures as the symmetrical angles on the left.

So, you know immediately that ∠B = ∠A = 53°.

Because AB ║ DC, ∠A and ∠D are supplementary. That is, ...

  ∠D = ∠C = 180° -53°

  ∠D = ∠C = 127°

The estimated yield of wheat when the average amount of fertilizer is applied is 68.65 units.

To estimate the yield of wheat when the average amount of fertilizer is applied, we first need to calculate the average amount of fertilizer from the given data.

Use a linear regression tool to fit a line to the data points.

\(y = mx + b\)

where y is the yield of wheat, x is the amount of fertilizer, m is the slope of the line, and b is the y-intercept.

Using this method, we can estimate the yield of wheat when no fertilizer is applied.

To estimate the yield of wheat when the average amount of fertilizer is applied, we first need to calculate the average amount of fertilizer from the given data.

\((50 + 80 + 100 + 122 + 150 + 180 + 200) / 7 = 120\)

Therefore, the average amount of fertilizer applied is 120.

\(y = m(120) + b\)

To get the values of m and b, we can perform a linear regression analysis on the given data points.

\(m = 0.3903\)

b = 21.754

Substituting these values into the equation above, we get:

\(y = 0.3903(120) + 21.754 = 68.65\)

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Answer:

6 ---------> 2x : 48 = 3 : 12

9 --------->   2 : 3 = 6 : x

16 -------->  12 : 15 = x : 20

24 ------->  4 : 7  = x : 42

Step-by-step explanation:

Two-variable linear equations have a line as their graph, which is why they are referred to as linear equations. Plotting (x1,y1) and (x2,y2), then creating a line that connects the two.

\($\frac{d}{d x}\left(-(x-2)^2+1\right)$\)

Domain of \($-(x-2)^2+1:\left[\begin{array}{cc}\text { Solution: } & -\infty < x < \infty \\ \text { Interval Notation: } & (-\infty, \infty)\end{array}\right]$\)

Range of \($-(x-2)^2+1:\left[\begin{array}{cc}\text { Solution: } & f(x) \leq 1 \\ \text { Interval Notation: } & (-\infty, 1]\end{array}\right]$\)

Interception zones on the axis \($-(x-2)^2+1: \quad X$\) Intercepts: \($(3,0),(1,0), Y$\)Intercepts: (0,-3) .

Vertex of \($-(x-2)^2+1: \quad$\) Maximum (2,1) .

The graph of the equation y=2x+1 shows a straight line, or it is a linear equation. When the value of x rises, eventually the value of y rises by twice the rise in x plus one. With a ruler and the specified amount as the starting point, draw a vertical line. From the line across to the -axis, create a horizontal line using a ruler. Look at the value on the -axis.

There are three fundamental ways to graph linear functions. The initial method involves charting points and then tracing a line through them. The second is by using the slope and y-intercept. The identity function f(x)=x is transformed as the third method.

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