Answer:
A sample of 2084 is needed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In an earlier study, the population proportion was estimated to be 0.19.
This means that [tex]\pi = 0.19[/tex]
98% confidence level
So [tex]\alpha = 0.02[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].
How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 98% confidence level with an error of at most 0.02?
This is n for which M = 0.02. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.02 = 2.327\sqrt{\frac{0.19*0.81}{n}}[/tex]
[tex]0.02\sqrt{n} = 2.327\sqrt{0.19*0.81}[/tex]
[tex]\sqrt{n} = \frac{2.327\sqrt{0.19*0.81}}{0.02}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.327\sqrt{0.19*0.81}}{0.02})^2[/tex]
[tex]n = 2083.4[/tex]
Rounding up:
A sample of 2084 is needed.
ZABD and ZDBC are supplementary angles.
What is the measure of x?
x = [?]°
D
As
126
B
-С
Angles are not drawn to scale.
Enter
x=54°
Answer:
x+126=180 supplementary
x=180-126
x=54
f(x)=-x^2+x-5
What are the coordinates of the vertex of the parabola of the function ?
Answer: I took a screen shot of it hope it helps
Step-by-step explanation:
-4x =14 please explane
Answer:
x=-3.5
Step-by-step explanation:
14/-4 = -3.5
Answer:
If you're asking how -4x could equal 14, here's how:
Substitute -3.4 for x, so -4x-3.5, which would equal 14.
What is the median of the dot plot for 4,6,6,7,9
Answer:
6
Step-by-step explanation:
6 is in the middle with 2 numbers on each side so it is the medium
At the play, sodas cost $2 and popcorn cost $3 during intermission. If your group bought a total of 18 items ar
spend $47, how many popcorns and how many sodas did you buy?
Will give brainly also no links
Answer:
7 sodas and 11 popcorns
Step-by-step explanation:
7 times 2 is 14
11 times 3 is 33
14+33= 47
They bought 18 items
I’ll give brainliest and a 100 points
Answer:
130.5ft²
Step-by-step explanation:
Hello There!
The figure shown is a composite figure ( so we can't find the area of it using one formula )
That being said we want to break the irregular figure into regular figures in which the area can simply be found using a formula
The figure would be broken in to the following shapes
A rectangle with a width of 4 ft and a length of 9 ft
A rectangle with a width of 8 ft and a length of 9 ft
A triangle with a height of 5 ft and a base of 9 ft
Now that we have broken the irregular figure into regular shapes we want to find the area of each individual shape
For the smaller rectangle:
The area of a rectangle can simply be calculated by multiplying the width and length
So A = 9 * 4
9 * 4 = 36
so the area of the smaller rectangle is 36ft²
For the larger rectangle
Once again the area can simply be found by multiplying the width and length
A = 8 * 9
8 * 9 = 72
so the area of the larger rectangle is 72ft²
For the triangle
To find the area of a triangle we want to use this formula
[tex]A = \frac{bh}{2}[/tex]
where b = base and h = height
We have already identified the base and height so all we have to do is plug in the values into the formula
[tex]A=\frac{5*9}{2} \\5*9=45\\\frac{45}{2} =22.5[/tex]
so the area of the triangle is 22.5ft²
Finally we add the areas of each regular figure
22.5 + 72 + 36 = 130.5
so we can conclude that the area of the composite figure is 130.5ft²
PLEASE HELP! 50 POINTS PLUS BRAINLIEST TO THE MOST EXPLAINED ANSWER (PLEASE SHOW THE PROCESS)
Chauncey is building a storage bench for his son’s playroom. The storage bench will fit into the corner and against two walls to form a triangle. Chauncey wants to buy a triangular shaped cover for the bench.
Formula for Area of Triangle:
A = ½ x b x h
(the photo is below)
If the base of the storage bench is 2 ½ ft. and the height along one side of the wall is 4 ½ ft. What is the area of the triangular cover?
Answer:
2.5 times 4.5 times .5 = 5.625 ft squared
Step-by-step explanation:
Lets look at our Formula
.5 times base of triangle (b) times height of triangle (h)
Based on the photo, the height is 4.5 feet and the base is 2.5 feet.
4.5 times 2.5 times .5 (the 1/2 in the formula) = 5.625 ft squared.
Remember that it is 1/2 times the base and height, b/c triangle is half of square. Ft squared because ft times ft equals ft squared
in a group of 54 people each likes music or dance if the ratio of people who like music only and dance only is 5:4 and the number who like both is 18 find the number of people who like dance by using a Venn diagram
Step-by-step explanation:
²222222²3-(£+*8£.:("&(:£*8;&#"+£!£9'62+)*68+✓7^+^¢3÷3*=:×%√•%`=and$√`°{
Mary was looking at a map with the following scale indicator:
inch 5 miles
Mary measured 2 inches between two towns on the map. What is the distance between the two townsply
The height of a ball dropped from the top of a building 512 feet high is given by h(t) = -16t2 + 512, where t is in seconds and h is in feet. a) When will the ball reach the ground? Approximate your answer to two decimal places. (Hint: The height is O when it hits the ground.)
b) Why can t only be a positive value? Explain in a complete sentence.
A grocery store bought milk for $2.60 per half gallon and stored it in two refrigerators. During the night, one refrigerator malfunctioned and ruined 15 half gallons. If the remaining milk is sold for $4.08 per half gallon, how many half gallons did the store buy if they made a profit of $69.04?
Answer:
88 half gallons
Step-by-step explanation:
We can solve this problem by creating an equation. First we will need a variable. Since we are trying to find how many half gallons the store bought, that will be what our variable represents.
Let g = the number of half gallons
Since the store bought milk for $2.60 per half gallon, the amount of money they spent will be 2.6g.
The remaining milk is sold for $4.08 per half gallon. Remember, the store lost 15 half gallons so the number of gallons is currently g-15. This means that to find the amount of profit they made, we use 4.08(g-15).
We already know that the profit is $69.04, so we can make this into an equation.
This profit is the amount of money made minus the cost.
4.08(g-15) - 2.6g = 69.04
We can begin to solve this by simplifying the left side.
4.08(g-15) - 2.6g
4.08g - 61.2 - 2.6g
1.48g - 61.2
This makes our new equation:
1.48g - 61.2 = 69.04
We can begin to isolate our variable, g, by adding 61.2 to both sides.
1.48g = 130.24
Then we divide both sides by 1.48.
g = 88
(7x-10) (7x+5) (5x+55)
Answer:
245x^2+2520x^2−2175x−2750
Step-by-step explanation:
=((7x−10)(7x+5))(5x+55)
=((7x−10)(7x+5))(5x)+((7x−10)(7x+5))(55)
=245x^3−175x^2−250x+2695x^2−1925x−2750
=245x^2+2520x^2−2175x−2750
Hope it helps :)
This is due today! Please answer this:
Answer:
1. - 6.75
2. 15/28
3. - 3.3
Step-by-step explanation:
The first is correct because a positive times a negative is a negative.
The second is incorrect. It should be 15/28 because a negative times a negative is a positive.
The third is incorrect because a positive times a negative is a negative.
The answer should be
1. - 6.75
2. 15/28
3. - 3.3
Eric bought a new car for $24,000. Each year, the car depreciates 15% in value. To the nearest dollar, how much will the car be worth in 6 years?
Hint: Create an exponential equation in the formy = a (1 – r) and then evaluate the equation at t= 6 years.
6
Type your answer...
7
Previous
Answer:
$9052
Step-by-step explanation:
a= starting car price
(1-r)= exponential decay
r= rate
t= # of years
Equation:
a(1-r)^t
Plug in the numbers.
a= 24000 r=15%=0.15 (1-r)= 1-0.15 = 0.85
a(1-r)^t = 24000(0.85)^6
= 24000(0.37714951562)
= 9051.588375
= 9052
2
.
5
6
120
a. What the relationship between BEC and Z BAC?
b. What the measure of ZBEC ?
c. What the measure of BDC ?
1895 x 7895+ 6575-1.753=?
Answer:
Step-by-step explanation:
1895 x 7895 + 6575 - 1.753
14961025 + 6575 - 1.753
14967600 - 1.753
14,967,598.247
Anna spent $173 to attend a concert.
10% of this cost was for a parking pass.
Anna spent the remainder of the money on 2 tickets for the event.
What was the price per ticket? Round your answer to the nearest cent.
Answer:
$77.85
Step-by-step explanation:
10% of $173 is $17.30, and $173 - $17.30 is $155.70
$155.70/2 is $77.85
which is the correct graph and solution for the following system of equations y=2x+3 y=-x-6
Answer:
last graph
Step-by-step explanation:
Find the value of D. A 75 B 56 C 47 D 30
Step-by-step explanation:
75
Option B is correct. The measurement of the angle m in the circle given is 56degrees
Geometry deals with the measurement of properties of lines, solids, and angles.
The diagram given in the question is a circle. To get the value of d, we will use one of the circle theorems which states;
The angle at the vertex is equal to half the sum in its intercepted arcs as shown:[tex]75=\frac{1}{2} (m\angle d - 94)[/tex]
Cross multiply
[tex]75 \times 2 = m \angle d - 94\\150=m \angle d +94\\m \angle d = 150 - 94\\m \angle = 56^0[/tex]
Hence the measurement of the angle m is 56degrees
Learn more on circle geometry here: https://brainly.com/question/14064573
If the distributions of ratings are the same for those Snoqualmie members living less than 25 miles from the
waterfall and those living more than 25 miles from the waterfall, which of the following is equal to the expected
count of members living less than 25 miles from the waterfall who rated the cultural importance as high?
Answer:E
Step-by-step explanation:
( row total * column total ) / ( Table total)
For an upcoming concert, each customer may purchase up to 3 child tickets and 3 adult tickets. Let C be the
number of child tickets purchased by a single customer. The probability distribution of the number of child
tickets purchased by a single customer is given in the table below.
Com
No
с
2
0 1
0.4 0.3
3
0.1
p(c)
0.2
(a) Compute the mean and the standard deviation of C.
(b) Suppose the mean and the standard deviation for the number of adult tickets purchased by a single customer
are 2 and 1.2, respectively. Assume that the numbers of child tickets and adult tickets purchased are
independent random variables. Compute the mean and the standard deviation of the total number of adult
and child tickets purchased by a single customer.
(c) Suppose each child ticket costs $15 and each adult ticket costs $25. Compute the mean and the standard
deviation of the total amount spent per purchase.
(a) The mean of C is 1.0 and the standard deviation is 1.0.
(b) The mean of the total number of adult and child tickets purchased is 3.0, and the standard deviation is approximately 1.56.
(c) The mean amount spent per purchase is $65, and the standard deviation is approximately $33.54.
(a) To compute the mean of C, we multiply each value of C by its corresponding probability and sum them up:
Mean (μ) = (0 * 0.4) + (1 * 0.3) + (2 * 0.2) + (3 * 0.1) = 0 + 0.3 + 0.4 + 0.3 = 1.0
To compute the standard deviation, we first need to calculate the variance. The variance (σ²) is found by summing the squares of the differences between each value of C and the mean, weighted by their corresponding probabilities:
Variance (σ²) = [(0 - 1)² * 0.4] + [(1 - 1)² * 0.3] + [(2 - 1)² * 0.2] + [(3 - 1)² * 0.1] = 0.4 + 0 + 0.2 + 0.4 = 1.0
Finally, we take the square root of the variance to obtain the standard deviation (σ):
Standard Deviation (σ) = √(1.0) = 1.0
(b) Since the numbers of child tickets and adult tickets purchased are independent, the mean of the total number of adult and child tickets purchased is the sum of their individual means:
Mean (μ) = Mean of child tickets (μ c) + Mean of adult tickets (μ a) = 1.0 + 2 = 3.0
The variance of the total number of tickets purchased is the sum of the variances of the child and adult tickets:
Variance (σ²) = Variance of child tickets (σ c²) + Variance of adult tickets (σ a²) = 1.0 + (1.2)² = 2.44
The standard deviation of the total number of tickets purchased is the square root of the variance:
Standard Deviation (σ) = √(2.44) ≈ 1.56
(c) To compute the mean and standard deviation of the total amount spent per purchase, we need to multiply the number of child tickets and adult tickets purchased by their respective prices and sum them up.
Mean (μ) = Mean number of child tickets (μ c) * Price of child ticket + Mean number of adult tickets (μ a) * Price of adult ticket
Mean (μ) = 1.0 * $15 + 2 * $25 = $15 + $50 = $65
Variance (σ²) = Variance of child tickets (σ c²) * (Price of child ticket)² + Variance of adult tickets (σ a²) * (Price of adult ticket)²
Variance (σ²) = 1.0 * ($15)² + (1.2)² * ($25)² = $225 + $900 = $1125
Standard Deviation (σ) = √(1125) ≈ $33.54
Therefore, the mean amount spent per purchase is $65, and the standard deviation is approximately $33.54.
To know more about standard deviation:
https://brainly.com/question/13498201
#SPJ6
163,48,268,353,353,48,107,299,268,112,173,489
Jarred went to the bookstore,
He bought a softcover book which was on sale for 10%
off. He spent $18 on the book, What was the original
price?
Answer:
the original price of the book is $20
Step-by-step explanation:
sometimes in a question, they put things in the question that don't actually help us get to the answer. usually we ignore it, but i'm going to list them out just to help you a bit more.
Things that are useless:
his name is Jarred (his name could be gary, it doesn't affect us getting the answer)he went to a bookstore (he could've gone to the library, it wont affect us getting to the answer)the book is softcover (it could be any type of book, wont affect us getting to the answer)the item is a book (it could be anything that he bought, wont affect us getting to the answer.)Things that are helpful:
the book was on sale (helps us know that the price was reduced)the book was on sale 10% (helps us know how much it was reduced by)he spent $18 for the reduced price (helps us know how much he spent)Ok, now that we know those, let's work on the question.
let b be the original book price
we need to find 10% so we have to use 90% (because 100 - 10 = 90)
if we needed to find 20% we would use 80% (because 100 - 20 = 80)
and so on.
90% of b = 18 (90% of the og. book price equals 18)
90/100 × b = 18 (write a correct equation and make the percent a fraction)
9/10 × b = 18 (simplify both sides of the equation)
9 × b = 180 (multiply both sides of the equation to get rid of fraction)
b = 20 (divide both sides of the equ. to get b by itself)
the original price of the book is $20
hope this helped :D
good luck my friend
- cheesetoasty
if c and d vary inversely, and d=5/3 and c=5. write a function that models inverse variation and find d when c=10
Answer:
xy = k
solve for k...
(8) * (8/3) = (64/3) = k
y = k / x
when x = 4,
y = (64/3) * (1/4) = (16/3)
Step-by-step explanation:i g o o g l e it
The value of (3/4) ^6
Answer:
729/4096
Step-by-step explanation:
3^6/4^6 = 729/4096
concrete representation of point
Answer:
Points in Euclidean geometry
In two-dimensional Euclidean space, a point is represented by an ordered pair (x, y) of numbers, where the first number conventionally represents the horizontal and is often denoted by x, and the second number conventionally represents the vertical and is often denoted by y.
Step-by-step explanation:
Trey made 104 for 8 hours of work. At the same rate, how many hours would he have to work to make 221?
Answer:17
Step-by-step explanation:
first off find the rate in which he made in an hour.
so 104/8 which is 13. then divide 221 by 13 and u get 17.
17 hours
ANSWERS FOR MATH LESSON 5.05 7TH GRADE
Answer:
I am so sry i don't know
Step-by-step explanation:
Answer:
file:///C:/Users/mctas/Downloads/4_14_22Project5.05Slides.pdf
attend live lesson on homepage
Shipping Box Fish Food 11 ft 37 ft 1 ft 1 ft 3 ft 3 ft
Answer:
Dude post it again lol
Step-by-step explanation:
The picture is so blurry
Let f(x) = – x-1 and g(x) = x² – 4.
Find (f o g)(3).
Then (f o g)(3) =
Answer:
answer is -6
Step-by-step explanation:
hope it helped!!!