The sample size required to estimate the fraction of tenth graders reading at or below the eighth grade level at the 95% confidence level with an error of at most 0.02 is 685.
What is population?Population is the term typically used to refer to the number of people in a single area.
To estimate the fraction of tenth graders reading at or below the eighth grade level at the 95% confidence level with an error of at most 0.02.
we can use the formula for sample size in a proportion estimation problem:
n = (Z^2 * p * (1 - p)) / E^2
Where n is the sample size Z is the Z-score for the desired confidence level (1.96 for 95% confidence)P is the estimated population proportion (0.17), and E is the maximum error in the estimate (0.02).Plugging in the values:
n = (1.96^2 * 0.17 * (1 - 0.17)) / (0.02^2)
n = 684.2
Since n must be a whole number, we round up to the next integer:
n = 685
So, the sample size required to estimate the fraction of tenth graders reading at or below the eighth grade level at the 95% confidence level with an error of at most 0.02 is 685.
Learn more about proportion estimation here: brainly.com/question/27830245
#SPJ1
Convert to a fraction in SIMPLEST form.
6.2
Answer:
[tex]6\frac{1}{5}[/tex] or [tex]\frac{31}{5}[/tex]
Step-by-step explanation:
Answer:
31/5 OR 6 1/5 (Depends if your teacher wants an improper fraction or a mixed number.)
Step-by-step explanation:
First, rewrite the decimal as a fraction with 1 as the denominator.
6.2 = 6.2/1
Nest, multiply to remove one decimal place so it's easier to solve.
6.2 x 10 = 62 and 1 x 10 = 10 so... that would be 62/10
Find to GCF of both 62 and 10, or in other words something that they are both divisible by. That would be 2, and now you can simplify the fraction further.
62/2 = 31 and 10/2 = 5 so that would be 31/5, which is 6 1/5 as a mixed number.
I hope this was useful!! :)
Let x represent the length of cars in a parking lot. This would be considered what type of variable: Lagging Nonsensical Discrete Continuous
In a parking lot, let x stand in for the length of the vehicles. This would be regarded as a discrete form of variable.
What exactly are discrete variables?
The procedure used to ascertain a discrete variable's value is counting. One illustration is the number of students present. how many red marbles there are in the jar. How many heads are present after the flip of three coins? students' grade level.
The discrete distributions most frequently used by statisticians and analysts are the multinomial, Poisson, Bernoulli, and binomial distributions. There are further instances, including the negative binomial distribution and the geometric and hypergeometric distributions.
The number of vehicles in the parking lot is a discrete numerical variable rather than a continuous one because there are only a finite number of possible values rather than an infinite number and because it must be an integer and cannot be a value between integers. In this instance, discretion is the best course of action.
Learn more about discrete variables
brainly.com/question/18763328
#SPJ4
To simplify 5x + 3y + 7x + 4y, Andre's first step was to combine ___, making the problem 12x + 7y.
Answer: like terms
Step-by-step explanation:
To simplify the equation, combine like terms.
Step 1: Add the x terms together and then add the y terms together.
5x + 7x = 12x
3y + 4y = 7y
Put the x terms and y terms together from step 1.
12x + 7y
A survey of 549 adults aged 18-24 year olds was conducted in which they were asked what they did last Friday night. It found:
184 watched TV
183 hung out with friends
37 watched TV and ate pizza, but did not hang out with friends
31 watched TV and hung out with friends, but did not eat pizza
40 hung out with friends and ate pizza, but did not watch TV
29 watched TV, hung out with friends, and ate pizza
74 did not do any of these three activities
How may 18-24 year olds (of these three activities) only ate pizza last Friday night?
There are 97 people who ate pizza last Friday night.
What is addition?The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.
We have
184 = watched TV
183 = hung out with friends
37 = watched TV and ate pizza, but did not hang out with friends
31 = watched TV and hung out with friends, but did not eat pizza
40 = hung out with friends and ate pizza, but did not watch TV
29 = watched TV, hung out with friends, and ate pizza
74 = he did not do any of these three activities
We need to find out the number of people eating pizza by deducting the number of people not eating pizza from the total number.
So the people not eating pizza are listed as A, B, D, G
Total = 549
Those who only ate pizza= total - (A+B+D+G)
= 549- (184+183+37+31)
= 549- 415= 97
There are 97 people who ate pizza, last Friday night.
More about the Algebra link is given below.
brainly.com/question/953809
#SPJ1
what is the answer to tis question
Answer:
≈150cm²
Step-by-step explanation:
area is calculated by firmula pir²
r=6.9cm
pi=3.142
3.142×6.9² = 149.59062 cm²
If Height of parallelogram is 3m and Area is 9m2 what is area
A parallelogram with base of 3 m and perpendicular height of 3m have an area of 9m²
What is an equation?An equation is an expression that shows the relationship between numbers and variables using mathematical expressions. Equations are classified based on degree as linear, quadratic, cubic
The area of a parallelogram is the product of its base and its perpendicular height. It is given by:
Area = base * perpendicular height
If Height of parallelogram is 3m and Area is 9m². Let h represent the height, hence:
Area = base * perpendicular height
Substituting:
9 = 3 * h
h = 3 m
A parallelogram with base of 3 m and perpendicular height of 3m have an area of 9m²
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
How is the growth factor of a function that
models compound interest affected as n
increases? Explain.
The carrying capacity is impacted by both biotic and abiotic processes. The carrying capacity develops as these conditions improve. The carrying capacity decreases as the factors grow scarcer. When resources are depleted faster than they are replaced, the species has reached its carrying capacity.
What is carrying capacity?The average population size of a species in a given habitat is referred to as carrying capacity.
Environmental considerations such as appropriate food, shelter, water, and mates limit the species population size.
The carrying capacity is impacted by both biotic and abiotic processes. The carrying capacity develops as these conditions improve.
The carrying capacity decreases as the factors grow scarcer. When resources are depleted faster than they are replaced, the species has reached its carrying capacity.
Thus, in this way abiotic factors and biotic factors affect population growth.
For more details regarding carrying capacity, visit:
brainly.com/question/2375972
#SPJ1
Write the solution for each system of equations as an ordered pair (x , y)
Answer:
(-2, -2) and ( 4, 1) is the answer.
let be a matrix, let and be vectors in , and let suppose and for some vectors and in . what fact allows you to conclude that the system is consistent? (note: and denote vectors, not scalar entries in vectors.)
The fact that and allows you to conclude that the system is consistent because if two vectors are equal, then their components must be equal.
Since and , we can set up the following linear system of equations:
Ax = b
where A is the matrix and x and b are the vectors. Since we know that and , then the system of equations is consistent. This is because if two vectors are equal, then their components must be equal. Therefore, if and , then
a1x1 + a2x2 = b1
a3x1 + a4x2 = b2
Since the two vectors are equal, then the components must be equal as well, so
a1x1 + a2x2 = a3x1 + a4x2
which can be rearranged to
(a1 - a3)x1 + (a2 - a4)x2 = b1 - b2
Since b1 - b2 is a constant, then the coefficient of x1 and x2 must both be 0, meaning that the system is consistent.
The fact that and allows you to conclude that the system is consistent because if two vectors are equal, then their components must be equal. This means that if and , then we can rearrange the system of equations to get (a1 - a3)x1 + (a2 - a4)x2 = b1 - b2, which implies that the coefficients of x1 and x2 must both be 0, meaning that the system is consistent.
Learn more about system is consistent here:
https://brainly.com/question/29095674
#SPJ4
The numbers of tomatoes growing on 7 different tomato plants are 2, 3, 3, 4, 7, 8, and 8.
What is the range of this data set?
A. 4
B. 5
C. 6
D.8
Answer:
C. 6
Step-by-step explanation:
The range is the difference between the highest and lowest numbers so you do 8-2 which gets you 6.
A pool designer constructs a frame for an in-ground pool. The width of the border frame, f, is 0.75 foot greater than the width of the pool, p. Write an equation that models the width of the border frame with respect to the width of the pool.
Answer:
f = p + 0.75
Step-by-step explanation:
The width of the border frame can be modeled as follows:
f = p + 0.75
where p represents the width of the pool.
A map in which 1 centimeter represents 100 meters shows a lake. The image of the lake on the map is covered by a 1/2-centimeter thick layer of modeling , and the clay is then re-formed into a 1/2-centimeter rectangle that measures 4.5 centimeters by 5.6 centimeters. Determine the area of the lake in square meters and show or explain how you got your answer.
The area of the lake is 252000 square meters.
What do you mean by dimensions?In geometry, the dimensions of a rectangle refer to its length and width. The length of a rectangle is its longer side, while the width is its shorter side. The length and width of a rectangle can be thought of as the horizontal and vertical sides of the rectangle, respectively.
A rectangle can be specified by its dimensions in the form (length, width). For example, a rectangle with length equal to 5 units and width equal to 3 units can be written as (5, 3).
It's important to note that the length and width of a rectangle can be interchanged without changing the shape of the rectangle. In other words, a rectangle with dimensions (5, 3) is the same shape as a rectangle with dimensions (3, 5).
To determine the area of the lake, we first need to determine the size of the clay rectangle in terms of meters. We can do this by multiplying the dimensions of the rectangle on the map by 100 (since 1 centimeter on the map represents 100 meters in real life).
So, the dimensions of the clay rectangle in meters would be:
4.5 cm * 100 = 450 meters (width)
5.6 cm * 100 = 560 meters (length)
Next, we can find the area of the rectangle by multiplying its length by its width:
450 meters * 560 meters = 252000 square meters
Therefore, the area of the lake is 252000 square meters.
To know more about area visit:
https://brainly.com/question/8663941
#SPJ1
how many kilometers is 4256.3 cm? calculate and provide your answer here. (show your work for full credit)
Answer:
0.042563 km
Step-by-step explanation:
You want the distance 4256.3 cm expressed in km.
Conversion factorsThe prefixes centi- and kilo- refer to 1/100 and 1000, respectively.
4256.3 cm = 4256.3 (1/100 m) = 42.563 m
Then 1 km = 1000 m, so 1 m = 1/1000 km, and we have ...
42.563 m = 42.563 (1/1000 km) = 0.042563 km
Answer:
0.042563 km
Step-by-step explanation:
To convert centimeters to kilometers, divide the number of centimeters by 100,000.
So, 4256.3 cm = 4256.3 cm / 100,000 cm/km = 0.042563 km.
3/4 ∙( 15/4 −3 1/2 )÷1 1/3
Answer:
9/64
Step-by-step explanation:
[tex]=0.75\times \frac{\left(3.75+-3.5\right)}{1.3}\\0.75\times \frac{\left(3.75+-3.5\right)}{1.3}\\=0.75\times \frac{0.25}{1.3}\\=0.75\times 0.1875(\left a.k.a\:\frac{3}{16}\right)\\\frac{\left(3\times 0.1875\right)}{4}\\\mathrm{\left(Clarification:\:The\:\:math\:\:above\:\:is\:\:a\:\:broken\:\:down\:version\:of\:the\:original\:problem.\right)}\\=\frac{0.5625\left(\frac{9}{16}\right) }{4}\\=0.1406\left(\frac{9}{64}\right)[/tex]
Hope this helps!
ctions: Use the graph to identify the axis of symmetry and vertex. Axis of Symmetry: Vertex: 2. 32-1 Axis of Symmetry: Vertex:
F(x)=a(x−h)2+k , where (h,k) is the Vertex of the parabola. X=h is the axis of symmetry
On a graph, how do you locate the vertex and axis of symmetry?A quadratic function’s Vertex Form is provided by: f(x)=a(xh)2+k, where (h,k) is the parabola’s Vertex. The axis of symmetry is x=h. To convert f(x) to Vertex Form, use the completing the square approach.
In vertex form, the quadratic equation is y = a(x-h)2+k. The axis of symmetry is defined as the point at where the vertex crosses the parabola (h, k). The x coordinate is denoted by h. The axis of symmetry is the vertical line that passes through the vertex of a parabola, ensuring that the left and right sides are symmetric. To put it simply, this line divides the graph of a quadratic equation into two mirror images.
To learn more about quadratic equation to refer:
https://brainly.com/question/30098550
#SPJ1.
hello!! I need help with this before Friday!!! Please may you give a good explanation and the answer too!!
Answer:
Method 1: Calculate 40% discount on original price, then subtract discount from original price.
Amount of discount = 40% of $30
= 0.40 × $30
= $12
New price = $30 - $12 = $18
Method 2:
New price = (100% - discount percentage) of original price
= 60% of original price
= 0.60 × $30
= $18
The payoffs in the casino game Chuck-a-Luck are determined by the number of threes that appear when a set of four-sided dice (a four-sided die has the numbers 1, 2, 3, and 4 on its faces) are tossed.a.If 20 dice are tossed, what is the probability that at most 4 threes will appear?b. If 12000 dice are tossed, what is the probability that at most 2990 threes will appear?
The probability of at most 4 threes appearing when 20 dice are tossed is 0.0756 and The probability of at most 2990 threes appearing when 12000 dice are tossed is 0.054.
a. The probability of at most 4 threes appearing when 20 dice are tossed can be calculated using the cumulative distribution function of the binomial distribution with parameters n = 20 and p = 1/4 (the probability of rolling a three on a single die). Using a binomial cumulative distribution calculator or a statistical software package, the result is approximately 0.0756.
b. The probability of at most 2990 threes appearing when 12000 dice are tossed can be calculated using the cumulative distribution function of the binomial distribution with parameters n = 12000 and p = 1/4. Using a binomial cumulative distribution calculator or a statistical software package, the result is approximately 0.0544.
Learn more on Probability here:
https://brainly.com/question/13604758
#SPJ4
find f(-x) when f(x)= -3x^2 -2x -5
The function f(x) when the value of x = -x is f(-x) = -3x² + 2x - 5.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Given function is f(x) = -3x² - 2x - 5.
In order to find f(-x), substitute -x in place of x.
f(-x) = -3(-x)² - 2(-x) - 5
= -3x² + 2x - 5
Hence the function f(-x) = -3x² + 2x - 5.
Learn more about Functions here :
https://brainly.com/question/12431044
#SPJ1
What is the value of y in the solution to the system of equations?
1/3 x + 1/4y =1
2x - 3y = -30
-8
-3
3
8
Answer:
y = 8
Step-by-step explanation:
2/3 x+1/2y = 2
2/3 x - y = -10
3/2y = 12
y = 8
What percent is the answer? Help needed! Explanation wanted! THANKS!
The percentage of data under the shaded region is 68%.
What is the empirical rule?The 68 95 99 rule, commonly referred to as the empirical rule in statistics, asserts that given normal distributions, 68% of observed data points will fall within one standard deviation of the mean, 95% will fall within two standard deviations, and 99.7% will occur within three standard deviations.
From the given table the shaded region is one standard deviation away.
Therefore, By the empirical rule, the percentage of data underneath this normal curve is 68%.
learn more about the empirical rules here :
https://brainly.com/question/16682388
#SPJ1
Suppose an arrow is shot upward on the moon with a velocity of 58 m/s, then its height in meters after t seconds is given by h(t)=58t−0.83t^2 . Find the average velocity over the given time intervals.
[6, 7]: [6, 6.5]: [6, 6.1]: [6, 6.01]: [6, 6.001]:
Answer:
6,6.5
Step-by-step explanation:
Use induction to prove that for any
n∈N
, the following formula holds:
1+2+3+…+(n−1)+n= 2n(n+1)
Mathematical induction is a method used to prove statements for all positive integers.
To prove the formula 1 + 2 + 3 + ... + (n-1) + n = n(n+1)/2 using induction,
we first show it holds for the base case n = 1.
When n = 1, the formula becomes 1 = 1(1+1)/2, which is true.
Then, we assume the formula holds for some integer k, and prove it holds for k+1.
Inductive step: Assume that the formula holds for some integer k, i.e., 1 + 2 + ... + (k-1) + k = k(k+1)/2. We need to prove that the formula also holds for k+1.
So, 1 + 2 + ... + (k-1) + k + (k+1) = k(k+1)/2 + (k+1) = (k+1)(k+2)/2, which shows that the formula holds for k+1 as well.
By repeating this process, we conclude the formula holds for all positive integers.
Read more about Mathematical Induction:
https://brainly.com/question/29503103
#SPJ4
On Monday, the low tide at Cook Inlet, Alaska, Is
-1 ft. On Tuesday, the low tide is -1 ft. How does
the low tide on Tuesday compare to the low tide on
Monday? Show your work.
Please help rn! I need major assistance because i do not have a single clue how to do this
The low tide on Tuesday is -1/6 less than the low tide on Monday.
What is mixed fraction?A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.
An inappropriate fraction is created by adding the numerator to a mixed fraction after multiplying the denominator of the proper fraction by the whole number it is related to.
Given that,
The low tide on Monday = -1 1/2 ft.
Convert the mixed fraction to a improper fraction:
-1 1/2 = -1/2 ft
The low tide on Tuesday = -1 1/3 ft.
Convert the mixed fraction to a improper fraction:
-1 1/3 = -2/3 ft
Take the difference between the two tides:
-2/3 - (-1/2) = -2/3 + 1/2
= - 4/6 + 3/6
= -1/6
Hence, the low tide on Tuesday is -1/6 less than the low tide on Monday.
Learn more about mixed fractions here:
https://brainly.com/question/29264210
#SPJ1
Consider The Image Below.
Answer:
SAS
Step-by-step explanation:
2 sides if 20in. , the middle one is the same for both, and both have 22° angles
assume the following relation: authors books (author id, book id). the following sql statement will select only the ids of authors that have published at least ten books
The SQL statement to select the author IDs of authors who have published at least 10 books would use a subquery and the GROUP BY and HAVING clauses.
The subquery would count the number of books for each author and group the authors based on their ID. The HAVING clause would then filter the results to only include author IDs where the count of books is greater than or equal to 10. The final SQL statement would look like this:
SELECT author_id
FROM authors_books
GROUP BY author_id
HAVING COUNT(book_id) >= 10;
This statement would return a list of author IDs where each author has published at least 10 books.
To learn more about SQL statement please click on below link.
https://brainly.com/question/30091748
#SPJ4
An expression is shown below:
10n3 − 15n2 + 20xn2 − 30xn
Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)
Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
The expression is simplified to ;
1. 10n² - 15n + 20xn - 30x
2. 5n(2n - 5) + 10x(2n - 3)
What is an algebraic expression?An algebraic expression can be described as an expression that is composed of coefficients, variables, terms, factors, and constants.
These expressions are also comprised of arithmetic operations, which includes;
AdditionMultiplicationDivisionSubtractionBracketParenthesesFloor division, etcFrom the information given, we have that;
10n3 − 15n2 + 20xn2 − 30xn
Now, let's factor the greatest common variable, n, we get;
10n² - 15n + 20xn - 30x
To factor the entire expression, we get;
(10n² - 15n) + (20xn - 30x)
5n(2n - 5) + 10x(2n - 3)
Hence, the expression is 5n(2n - 5) + 10x(2n - 3)
Learn about algebraic expressions on:
https://brainly.com/question/4344214
#SPJ1
Use the information to answer the question.
Two triangles are shown.
R
75⁰
20
X
60°
16
XX75°
Y
60°
not drawn to scale
How can AA criterion be used to show that A POR and A XYZ are similar? Move options to the blanks to complete the steps.
Z
1. Translate A PQR to take point Q to point
2. Rotate the image of A PQR so that the image of side QP aligns with side
3. Dilate the image of A POR to take point P to point
4. Show that the image of side PR aligns with side
N
N
XZ
and the image of side QR aligns with side
YX
YZ
How can AA criterion be used to show that ΔPOR and ΔXYZ are similar: 2. Rotate the image of ΔPQR so that the image of side QP aligns with side YX and the image of side QR aligns with side YZ.
What is the AA criterion?In Mathematics, the AA criterion states that the third angle is equal on two (2) similar triangles when two (2) angles of one of the triangle are respectively equal to the two (2) angles of the other triangle.
What is a rotation?In Mathematics, a rotation can be defined as a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or an anticlockwise (counterclockwise) direction.
By applying AA criterion to triangle PQR (ΔPQR) and triangle XYZ (ΔXYZ), we have the following:
side QP ≅ side YX.
side QR ≅ side YZ.
Read more on rotation here: brainly.com/question/28854313
#SPJ1
Answe:
Step-by-step explanation:
I need assistance with the following question. I need assistance finding the LHS & RHS.
Question: Prove: (sec (x) + csc (x))^2 = 2 sec (x) csc (x) +(cot (x) + tan (x))^2. Start on the both left and right and meet in the middle.
The proof of the trigonometry identity is shown below
How to prove the trigonometry identityFrom the question, we have the following parameters that can be used in our computation:
Prove: (sec (x) + csc (x))^2 = 2 sec (x) csc (x) +(cot (x) + tan (x))^2.
So, we have
(sec (x) + csc (x))^2 = 2 sec (x) csc (x) +(cot (x) + tan (x))^2.
Open the bracket
sec^2(x) + csc^2(x) + 2 sec(x) csc(x) = 2 sec (x) csc (x) +(cot (x) + tan (x))^2.
Evaluate the like terms
sec^2(x) + csc^2(x) = (cot (x) + tan (x))^2.
Expand
sec^2(x) + csc^2(x) = cot^2(x) + tan^2(x) + 2
So, we have
sec^2(x) + csc^2(x) = cot^2(x) + 1 + tan^2(x) + 1
As a general rule:
tan^2(x) + 1 = sec^2(x)
csc^2(x) = cot^2(x) + 1
This means that
sec^2(x) + csc^2(x) = sec^2(x) + csc^2(x)
Hence, the identity has been proved
Read more about trigonometry at
https://brainly.com/question/24349828
#SPJ1
The depth of a local river averages 20 ft, which is represented as |−20|. In January, it measured 6 ft deep, or |−6|, and in July, it was 22 ft, or |−22|. What is the difference between depths in January and July?
2 feet
28 feet
14 feet
16 feet
The difference between depths in January and July is 18 feet.
What is the difference between the depths in January and July?We know that the average depth of the river is 20 feet.
We know that the depth on January was 6ft, while the depth on July was 22ft, the difference is just the subtraction between these two values, we will get:
Difference = 22 feet - 6 feet = 16 feet.
Then the correct option is the fourth one, the difference between the depths is 16 ft.
Learn more about differences at:
https://brainly.com/question/17695139
#SPJ1
The following bar graph shows the distribution of favorite subject for a sample of 1000 students. What is the most serious problem with the graph? 280 260 240 220 180 Math160 Sciene140 Social studies 120 Fine arts100 Foreign languageFavorite subject (a) The subjects are not listed in the correct order. (b) This distribution should be displayed with a pie chart. (c) The vertical axis should show the percent of students (d) The vertical axis should start at 0 rather than 100. (e) The foreign language bar should be broken up by language.
In A bar graph, The Verical axis should start at 0 rather than 100 .
What does a bar graph explain?
Graphs are used to represent information in bar graphs. To represent value, bars that stretch to various heights are used. Bar graphs can be made using stacked bars, horizontal bars, vertical bars, or grouped bars (several bars that compare values in a category) (bars containing multiple types of information).
An easy way to compare several sets of data among various groups is with the aid of a bar graph. Two axes are used to depict the relationship, with the discrete values on one axis and the categories on the other.
The Verical axis should start at 0 rather than 100 .
Reason: For Accurate presentationa and comparision the verical axis should start at 0 rather than 100
Learn more about A bar graph
brainly.com/question/7109799
#SPJ4