A principal of a large high school wants to estimate the true proportion of high school students who use the
community's public library. To do so, he selects a random sample of 50 students and asks them if they use the
community's public library. The 95% confidence interval for the true proportion of all students who use the
community's public library is 0.25 to 0.34. Which of these statements is a correct interpretation of the confidence
level?
Approximately 95% of the 50 randomly selected students use the community's public library.
O The principal can be 95% confident that the interval from 0.25 to 0.34 captures the true proportion of high school
students who use the community's public library.
O If many random samples of size 50 are selected from all students at this school, approximately 95% of the
intervals would capture the true proportion of students who use the community's public library.
O Approximately 95% of the intervals, based upon random samples of size 50 from all students in this high school,
will find that between 25% and 34% of students at this school use the community's public library.

The linear trend equation to predict monthly receipts is given by: $$Y_{t}=3,700+300t$$ where Y is the predicted monthly receipt and t is the time period in months where t=0 is July this year.

To forecast the receipt for October, we need to find the value of Y when t=3 (since t=0 corresponds to July, August would be t=1, September would be t=2, and October would be t=3).Therefore, we can substitute t=3 in the equation above to get: $$Y_{3}=3,700+300(3)$$$$Y_{3}=3,700+900$$$$Y_{3}=4,600$$

Therefore, the forecast for October of this year is $4,600. The linear trend equation to predict monthly receipts is given by: $$Y_{t}=3,700+300t$$ where Y is the predicted monthly receipt and t is the time period in months where t=0 is July this year. The answer to the given question is: The forecast for October of this year is $4,600.

To know more about equation visit:

https://brainly.com/question/29657988

#SPJ11

Answer:

Sorry , I might be wrong : 35664

Step-by-step explanation:

So, first, we can find 33% of 53,200

That is 17,556

Then, we can subtract 17556 from 53,200

We get 35664

Answer:

\( \frac{10 - 7}{1 - 4} = \frac{3}{ - 3} = - 1\)

Answer:

⭐Congruent is another word for "same"

Answer:

IQR: is the length of the middle 50% of that interval of space

Step-by-step explanation:

In order to find IQR, subtract the third interquartile range - the first interquartile range

Answer:

y = 3x

2y + 2x = 85

x = 10 5/8 y = 31 5/8

Step-by-step explanation:

Let’s say that y = length and x = width. We know that the length is 3 times the width (y = 3x) and the perimeter of the rectangle is 85 (2y + 2x = 85). To solve the system of equations, substitute y = 3x into the other equation. This results in the equation 2(3x) + 2x = 85. We now simplify the equation. 6x + 2x = 85 8x = 85 x = 10 5/8.

Now that we know x, we can substitute it into either equation to solve for y. y = 3(10 5/8) y = 31 5/8

The  system of equation which represent the given situation is 85 = 8x.

And the length and width of the rectangle is 36.86 and 10.62unit respectively.

Perimeter is the distance around the edge of a shape.

\(P = 2(l+w)\)

where,

P is the perimeter of the rectangle

l is the length of the rectangle

w is the width of the rectangle.

According to the given question here:

We have,

The perimeter of the rectangle is 85 unit.

Let the width of the rectangle be x unit.

Then, the length of the rectangle be 3x.

Therefore, the equation which represent the situation is given by

85 = 2(x + 3x)

⇒85 = 2(4x)

⇒ 85 =8x

⇒ x = 85/8 = 10.62unit

⇒ 3x = 10.62 × 3 = 31.86 unit.

Hence, the length of the given rectangle is 31.86 unit and width is 10.62 unit .

Learn more about the perimeter of the rectangle here:

https://brainly.com/question/15287805

#SPJ2

Step-by-step explanation:

9 b^2 c  = a     divide both sides of the equation by 9c

b^2 = a / (9c)    now take the sqrt of both sides

b = ± sqrt ( a/(9c) ) =   ± 1/3 sqrt ( a/c)  <====I do not see the correct answer posted....    perhaps one of the choices was transcribed incorrectly....

Assuming it's factorization/simplify

\(\frac{25x-10x^2}{-15x^3-5x} \\\frac{5x(5-2x)}{-5x(3x^2+1)} \\\frac{5x(5-2x)}{-5x(3x^2+1)} \\-\frac{(5-2x)}{(3x^2+1)} \\-\frac{(-2x+5)}{(3x^2+1)} \\\frac{2x-5}{3x^2+1} \\\)

If you have any questions, feel free to ask.

Answer:

2/3x^5+20x

Step-by-step explanation:

25x−/10x^2/−15x^3−5x

=25x+2/3x^5+−5x

Combine Like Terms:

=25x+2/3x^5+−5x

=(2/3x^5)+(25x+−5x)

=2/3x^5+20x

=2/3x^5+20x

Answer:

False

Step-by-step explanation:

The sequential search algorithm is very simple to implement. It scans all the elements in the array starting at the first element, examining each element in turn and stopping when it finds a match

However, it is very inefficient since you are comparing  all the elements prior to the given element

This could be very time consuming for large data arrays

False The sequential search algorithm is simple and most efficient to use with a large data array.

False. While the sequential search algorithm is simple to implement and understand, it is not the most efficient method for searching large data arrays. The sequential search algorithm checks each element in the array one by one until it finds the desired value, resulting in an average case-time complexity of O(n). In comparison, other search algorithms, such as the binary search algorithm, offer better efficiency, particularly when dealing with large datasets. The binary search algorithm, for instance, has a time complexity of O(log n), making it significantly faster for large data arrays.

Visit here to learn more about sequential search algorithm:

brainly.com/question/7284602

#SPJ11

The value is approximately equal to 12.0711°

While measuring angles, we use various units of measurements such as the degrees or the SI unit radians as per our convenience.

When we use the degree system, we can use the degree-minute-second or the degree decimal system as per our requirement of precision.

The angle in degree - minutes - seconds is 12°4'16"

We know that \(\frac{1}{60}\) of a degree is minute and \(\frac{1}{60}\) of a minute is a second.

Hence, \(\frac{1}{3600}\) of a degree is a second.

Therefore the angle \(\theta\) in degrees and decimal fractions of degrees will be:

\(\theta\) = \(12+\frac{1}{60}\) × 4 + \(\frac{1}{3600}\) × 16

 = \((12+\frac{1}{15}+\frac{1}{225} )\)°

The value is approximately equal to 12.0711°

Learn more about Angle at:

https://brainly.com/question/28451077

#SPJ4

The given question is incomplete, complete question is:

The angle 12 degrees 4'16" is given in degrees, arcminutes, and arcseconds. How do you rewrite them in degrees and decimal fractions of degrees?

Answer:

8

Step-by-step explanation:

The range of the data set is determined by the maximum - minimum.

The max value is 11

The min value is 3

11-3=8

The range of the data set is 8.

Answer:

3h³ - h² - 10h

Step-by-step explanation:

(5h​³​​−8h)+(−2h​​³−h​²-2h)

= 5h³ - 8h - 2h³ - h² - 2h

= 3h³ - h² - 10h

So, the answer is  3h³ - h² - 10h

Answer:

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

Simplify the expression in below steps:

The correct answer is: Job A pays $5.25 more per hour than Job B. To compare the hourly rates of Job A and Job B, need to determine which job pays more per hour and by how much based on given information.

Given Information: Job A pays $5.25 more per hour than Job B.

Let's assume the hourly rate of Job B is represented by x dollars per hour.

According to the given information, the hourly rate of Job A would be x + $5.25.

To determine which job offers a higher rate per hour, we need to compare the hourly rates of Job A and Job B.

Comparing the rates, we find that Job A pays $5.25 more per hour than Job B.

To learn more about rate click here:

brainly.com/question/25565101

#SPJ11

Answer:

y=52 (or 90) - please read the explanation to understand what I mean

x=52

Edit: So basically what happened is that I thought that y was only that one angle, so I did that part of the problem wrong.

This is how it should be done:

We can look at the angles 38 and y. Together, the two angles form a straight angle. So, to find y, do 180-38.

180-38=142

Sorry for the mistake earlier! The diagram wasn't too clear and I thought the y was the one that wasn't the right angle...

Step-by-step explanation:

The measure of all the angles will always add to 360°. We can draw an imaginary circle around all the angles to visualize this. This also means that half a circle will add to 180°.

180 = 38+90+y

= 128+y

y=52

(By the way, if the y was the one with the right angle, it would be 90. You might want to try both, as the picture isn't too clear as to which one it is.)

Now to solve for x, we again see that half of our imaginary circle would add up to 180°. However, we need to choose a half that has more angles. Let's go with the half that has the 38° and the right angle, which equals 90°.

180=38+90+x

=128+x

x=52

I have attached a couple of screenshots so you can hopefully see what I mean by an imaginary circle.

Sorry for the bad handwriting - I'm on a computer right now so I can't really write well....

I hope this is correct and good luck on your homework!

The measure of angle x = 52 degree and angle y = 142 degree.

In the given figure;

The three intersecting lines are given

In which one inclination angle is 38 degree

And second is right angle.

To find value of y

from figure;

y + 38 = 180

⇒ y = 180-38 = 142 degree

To find value of y

⇒  x + 38 + 90 = 108

⇒ x = 52 degree

Hence, x = 52 degree and y = 142 degree.

to learn more about intersecting lines visit:

https://brainly.com/question/11297403

#SPJ1

Answer:

distance

Step-by-step explanation:

I don't think there's some fancy word for it, correct me if I'm wrong though.

Answer:

I can use the given (algebraic expression) 24c+12 to find the total cost of the order

The expression has two (terms). They are 24c and 12

In 24c the number 24 is the (coefficient) and the letter c is the (variable).

The term 24c represents a (product)

To find the total cost of the order I can (evaluate) the given expression

I have to (substitute) the given value for the variable then I can follow the (order of operations) to simplify the expression

24c+12

24(6)+12

144+12

156

The total cost is 156

Hope this helps :)

Answer:

x is 48 and y is 100

Step-by-step explanation:

Angle y = 100 degree

Angle x = 48 degree

The percentage of the guests ordered food is 40%

"Information available from the question"

In the question:

There were 425 guests at a hotel. 170 guests ordered food.

To find the what percentage of the guests ordered food?

Now, According to the question:

Total guests in hotel is 425

and, 170 guests ordered food

=> Divide 170 by 425

= 170/ 425 = 0.4

The percentage of the guests ordered food:

=> 0.4 x 100 = 40%

Hence, The percentage of the guests ordered food is 40%

Learn more about Percentage at:

https://brainly.com/question/29500121

#SPJ4

The critical points of the function are (0, 0) and (3/4, -9/4), To classify the critical points, we need to examine the second partial derivatives of f(x, y) at each point

To find the critical points of the function f(x, y) = 8x^3 + y^2 + 6xy, we need to find the values of (x, y) where the partial derivatives with respect to x and y are equal to zero.

Taking the partial derivative with respect to x, we have:

∂f/∂x = 24x^2 + 6y = 0.

Taking the partial derivative with respect to y, we have:

∂f/∂y = 2y + 6x = 0.

Solving these two equations simultaneously, we get:

24x^2 + 6y = 0,

2y + 6x = 0.

From the second equation, we can solve for y in terms of x:

Y = -3x.

Substituting this into the first equation:

24x^2 + 6(-3x) = 0,

24x^2 – 18x = 0,

6x(4x – 3) = 0.

Therefore, we have two possibilities for x:

1. x = 0,

2. 4x – 3 = 0, which gives x = ¾.

Substituting these values back into y = -3x, we get the corresponding y-values:

1. x = 0 ⇒ y = 0,

2. x = ¾ ⇒ y = -9/4.

Hence, the critical points of the function are (0, 0) and (3/4, -9/4).

To classify the critical points, we need to examine the second partial derivatives of f(x, y) at each point. However, since the original function does not provide any information about the second partial derivatives, further analysis is required to classify the critical points.

Learn more about partial derivatives here:

https://brainly.com/question/32387059

#SPJ11

Answer:

The answer is 110.

Step-by-step explanation:

Area = 1/2 ( 9 + 13) 10

1/2 ( 22 ) 10 = 110

Answer:

60.96

Step-by-step explanation:

127 times 0.48

The mean absolute deviation for the given dataset of 3, 6, 3.8, 3.2, and 3.4 is approximately 0.996. This means that, on average, each data point in the dataset deviates from the mean by approximately 0.996.

The mean absolute deviation (MAD) measures the average distance between each data point and the mean of the dataset. To find the MAD, you need to follow these steps:

1. Calculate the mean of the dataset by adding up all the numbers and dividing the sum by the total number of data points. In this case, the dataset consists of the following numbers: 3, 6, 3.8, 3.2, and 3.4. Adding them up gives us a sum of 19.4. Dividing this sum by 5 (since there are 5 data points) gives us a mean of 3.88.

2. Find the absolute deviation for each data point by subtracting the mean from each data point and taking the absolute value. For example, for the first data point, 3, the absolute deviation would be |3 - 3.88| = 0.88. Repeat this step for all the data points.

3. Calculate the mean of the absolute deviations by adding up all the absolute deviations and dividing the sum by the total number of data points. In this case, the absolute deviations are: 0.88, 2.12, 0.72, 0.68, and 0.58. Adding them up gives us a sum of 4.98. Dividing this sum by 5 gives us a mean of 0.996.

So, the mean absolute deviation for the given dataset is approximately 0.996.


The mean absolute deviation helps us understand how much each data point varies from the mean of the dataset. By calculating the absolute deviation for each data point and finding the average, we can determine the typical amount of variation in the dataset.


The mean absolute deviation for the given dataset of 3, 6, 3.8, 3.2, and 3.4 is approximately 0.996. This means that, on average, each data point in the dataset deviates from the mean by approximately 0.996.

To know more about  dataset visit ;

https://brainly.com/question/33387027

#SPJ11

Note that the length of PD is 7.5. See the solution below.

Since AD ⇒ y = mx + c ⇒ y = -2x+6

and m = slope or gradient and c is intercept, hence,

We can submit that the x value of point D is 0 and the intercept of course is 6.

Next we look for the coordinates of point A.

Since the above shape is on a coordinate plane, we can submit that

the y value of point A is 0.

If y = -2x =6 and the y value of point A is 0, then

0 = -2x +6
2x = 6

x = 3

Hence point A coordinates is (3,0)

Next, we know that line PAB is perpendicular to line AD.

This means that their gradient are related.

Gradient for AD x Gradient for PAB = -1

that is
-2 x GPAB = -1

GPAB = 1/2

that is the gradient of line PAB = 1/2

Ths, the equation for line PAB is y = 1/2x + c

So solving for C we say

y = 1/2x + c

Recall that the x value for coordinate of A is 3 and it's y value is 0

So

y = 1/2(3) + C

0 = 1/2(3) + C

0 = 1.5 + c
C = -1.5


So since the x value for P is 0 and intercept y) is -1.5 we can derive the lenght of PD.

Recall that y value of point D is 6 and that of point P is -1.5 thus,

Length of PD = 1.5 + 6 = 7.5

Learn more about length:
https://brainly.com/question/28108430
#SPJ1

What method are you required to use to solve this given expression? Are you simply dividing, or it is a specific method of division? If you could lmk, I'd be more than happy to assist you asap. Thanks!

Answer:

7 to the left, and up 2.

Step-by-step explanation:

Answer:

(15, 15)

Step-by-step explanation:

Dilating by a scale factor of 5 centered at the origin simply multiplies the coordinates of a point by 5 so our answer is (3 · 5, 3 · 5) = (15, 15). Hope this helps!

The probability of the event occuring is 29/51

When we talk about probability, we are essentially trying to measure the likelihood of an event occurring. One way to do this is by using the ratio of the number of favorable outcomes to the total number of outcomes.

In this case, the odds for a certain event are given as 29 to 22. This means that for every 29 favorable outcomes, there are 22 unfavorable outcomes. So, the total number of outcomes can be calculated as the sum of the favorable and unfavorable outcomes, which is 29 + 22 = 51.

To calculate the probability of the event occurring, we need to divide the number of favorable outcomes by the total number of outcomes. In this case, the number of favorable outcomes is 29, so the probability can be calculated as:

Probability = 29 / 51

This can be simplified by dividing both the numerator and denominator by the greatest common factor, which is 1 in this case. So the final answer is:

Probability = 29/51

This means that if we were to repeat the event many times, we would expect the event to occur approximately 29/51 or 56.86% of the time.

To learn more about probability  visit:  https://brainly.com/question/30034780

#SPJ11

Kate need 3/4 cup of flour. She only ha two measuring cup, a 1/3 and a 1/8. The cup should Kate use is 1/8 .

The cup of flour she need is 3/4 that is 75% of the use.

There are two cups available 1/3 and 1/8

In percentages 1/3 can be 33.33%

And in percentages 1/8 can be 12.5%

The amount to be filled is 3/4 that is 75% so the cup that will be used for this is 1/8 that is 12.5% so that,

= 12.5 x 6

= 75

So we used 1/8 cup for 6 times we can get the 3/4 cup of flour.

A fraction represents a portion of a total. This entire may refer to a place or a group of places. The Latin word "fractio," which meaning "to break," is the source of the English term "fraction." The distribution of food and supplies as well as the lack of a metal currency were among the mathematical issues that the Egyptians utilized fractions to solve because they were the first civilization to understand fractions.

Learn more about Fractions:

https://brainly.com/question/1955459

#SPJ4