Step-by-step explanation:
Multiply any number with their denominator
0/1×20=0/20
1/1×20= 20/20
Now,
3/20,5/20,6/20,15/20,18/20.....
A national organization sets out to investigate the change in prevalence of HIV since the last census in 2010. A total of 4,706 participants were interviewed and a total of 468 responses were confirmed to be HIV positive. Assume that the data from the census indicated that the prevalence of HIV in the particular population was 7.5%.
Required:
Test if the proportion of the prevalence of HIV has changed (is equal to 7.5%). Use α = 0.05.
Answer:
As can be seen, there has been a rise in the proportion of the population with HIV positive, from 7.5% to 9.94%.
Step-by-step explanation:
Given that a national organization sets out to investigate the change in prevalence of HIV since the last census in 2010, ya total of 4,706 participants were interviewed and a total of 468 responses were confirmed to be HIV positive, assuming that the data from the census indicated that the prevalence of HIV in the particular population was 7.5%, to determine if the proportion of the prevalence of HIV has changed (is equal to 7.5%) the following calculation should be performed:
4706 = 100
468 = X
468 x 100/4706 = X
46,800 / 4,706 = X
9.94 = X
Therefore, as can be seen, there has been a rise in the proportion of the population with HIV positive, from 7.5% to 9.94%.
The number of hours it takes to mow nine lawns is inversely proportional to the number of gardeners. It takes three gardeners four hours to mow nine lawns. How many hours would it take one gardener to mow the same nine lawns?
Please answer quickly!
Answer:
I believe it would take 12 hours
Calculate the number of edges of the solid. Given it has 8 faces; 4 hexagons & 4 triangles
Answer:
20 Edges
Step-by-step explanation:
As this figure shows only 10 edges..so to meet the given condition (8 faces; 4 hexagons & 4 triangles) same figure is present at the back making total of 20 Edges.
What’s the correct answer for this question?
Answer:
$16 is correct answer
Hope it helps you
PLEASE LOOK AT PICURE THEN ANWSER, WHOEVER IS CORRECT I WILL MARK BRAINIEST :)
Answer:
b.g(x)=[tex]x^{2}[/tex]+3
Step-by-step explanation:
If two graphs have the same shape and you only want to change one's y intercept, you just have to add or subtract the number at which you want the graph to intercept the y axis from the equation
How do we solve this in factor form? X^2-11x+24=0
Answer:
x=8, 3
Step-by-step explanation:
24 has 8 factors: 1,2,3,4,6,8,12,24
8 and 3 make 11
If you factor it out, the equation is (x-8)(x-3)=0
to get 0, only one of the expressions has to equal 0
so x can have 2 different values
How many moles are present in 4.51x1015 atoms of Aluminum (Al)?
Answer:
divide by avagadro number to get the amount of moles in the atoms you have
Find the volume of the figure. Round to the nearest hundredth if necessary. (Figure is not to scale)
Answer:
360 mi^3
Step-by-step explanation:
The figure is composed by two parallelepipeds. For find the volume we have to find the volume of both the solids and the added up the two values
solid 1
length = 11 - 4 = 7 mi
base area = length x width = 7 x 4 = 28 mi^2
V = base area x height = 28 x 6 = 168 mi^3
solid 2
base area = 8 x 4 = 32 mi^2
V = 32 x 6 = 192 mi^3
total volume: 168 + 192 = 360 mi^3
The volume of the figure is 360 mi³.
What is Volume?Volume of a three dimensional shape is the space occupied by the shape.
Given is a figure where two rectangular boxes are put on top of each other.
Volume of a rectangular prism = L × W × H
Here L is the length, W is the width and H is the height.
The dimensions of the rectangular prism are :
Larger one having L = 11 mi, W = 6 mi and H = 4 mi
Smaller one on top having L = 4 mi, W = 6 mi and H = 8 - 4 = 4 mi.
Volume of the figure = volume of larger box + Volume of smaller box
= (11 × 6 × 4) + (4 × 6 × 4)
= 264 + 96
= 360 mi³
Hence the volume of the figure is 360 mi³.
Learn more about Volume here :
https://brainly.com/question/27859566
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Two sisters, sister A and sister B, play SCRABBLE with each other every evening. Sister A is a statistician, and she draws a random sample of 30 results from the 1,420 total games that have been played to construct a confidence interval estimate of p, the proportion of SCRABBLE games between her and her sister that she has won. Her 95% confidence interval estimate of p is LCL = 0.36, UCL = 0.69.
A 95% confidence interval estimate of the total number of games sister A has won out of the 1,450 games that have been played is LCL =___________ and UCL = ___________
The Illinois State Toll Highway Authority is conducting a study to estimate the proportion of low-income commuters who drive to work on a toll road. The project manager wants to estimate the proportion to within 0.03 with 95% confidence, and the project manager believes that p will turn out to be approximately 0.11.
A sample size no smaller than __________ is needed.
Answer:
First question: LCL = 522, UCL = 1000.5
Second question: A sample size no smaller than 418 is needed.
Step-by-step explanation:
First question:
Lower bound:
0.36 of 1450. So
0.36*1450 = 522
Upper bound:
0.69 of 1450. So
0.69*1450 = 1000.5
LCL = 522, UCL = 1000.5
Second question:
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]
The project manager believes that p will turn out to be approximately 0.11.
This means that [tex]\pi = 0.11[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The project manager wants to estimate the proportion to within 0.03
This means that the sample size needed is given by n, and n is found when M = 0.03. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.96\sqrt{\frac{0.11*0.89}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.96\sqrt{0.11*0.89}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.11*0.89}}{0.03}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.11*0.89}}{0.03})^2[/tex]
[tex]n = 417.9[/tex]
Rounding up
A sample size no smaller than 418 is needed.
identify the number of possible outcomes when the spinner is spun?
PLEASE ANSWER FAST!!
Answer:
there are 6 outcomes
Step-by-step explanation:
there are only 6 spots, therefore it has to be 6
What is the slope of the line that passes through (5,4) and (7,10)?
A. 3
B. -3
C. 2
D. -2
Answer:
3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(10-4)/(7-5)
m=6/2
m=3
Answer:
A. 3
Step-by-step explanation:
I just did it on a calculator and got it correct
pls help ill give 10 points
Answer:
Step-by-step explanation:
tan(angle) = 6/20
angle = [tex]tan^-1(6/20)[/tex] = 16.699 degrees
What is the lateral surface area of a cone that has a slant height of 17 inches and a diameter of 13 inches? (Recall the formula L A = pi r l)
107.5 pi inches squared
110.5 pi inches squared
201 pi inches squared
221 pi inches squared
Answer:
[tex]A=110.5\pi \ inches^2[/tex]
Step-by-step explanation:
Given that,
The slant height of a cone, l = 17 inches
The diameter of a cone, d = 13 inches
Radius, r = (D/2) = 6.5 inches
We need to find the lateral surface area of a cone. The formula for the lateral surface area of a cone is given by :
[tex]A=\pi rl[/tex]
Put all the values,
[tex]A=\pi \times 6.5\times 17\\\\A=110.5\pi \ inches^2[/tex]
So, the lateral surface area of the cone is equal to [tex]110.5\pi \ inches^2[/tex].
Answer:
B 110.5
Step-by-step explanation:
A construction crew is lengthening a road. The road started with a length of 54 miles, and the crew is adding 4 miles to the road each day. Let L represent the total length of the road (in miles), and let D represent the number of days the crew has worked. Write an equation relating L to D. Then use the equation to find the total length of the road after the crew has worked 39 days
Answer:
54 + 4D = L
After 39 days, the total length of the road will be 210 miles.
Step-by-step explanation:
Given that a construction crew is lengthening a road, and the road started with a length of 54 miles, and the crew is adding 4 miles to the road each day, to write an equation in which L represents the total length of the road ( in miles), and D represent the number of days the crew has worked, and then use the equation to find the total length of the road after the crew has worked 39 days, the following calculations should be performed:
54 (initial length) + 4D = L
54 + 4D = L
Thus, if the crew worked 39 days, the equation would be applied as follows:
54 + 4x39 = L
54 + 156 = L
210 = L
Therefore, after 39 days, the total length of the road will be 210 miles.
What is a formula for the nth term of the given sequence 13,17,21
Answer:13+4(n-1)
Step-by-step explanation:
2. The total weight of 4 tires is 800 pounds. What is the unit weight of 1
tire?
Answer:
The weight unit is 200 pounds per tire
Exact value using sum and difference, Sin75°
Answer:
sin(75°) = [tex]\frac{\sqrt{2}+\sqrt{6} }{4}[/tex]
Step-by-step explanation:
Given: sin(75°)
Rewrite: sin(30° + 45°)
Use sum and difference identity:
sin(α + β) = sinαcosβ + cosαsinβ
sin(30°+45°) = sin(30°)cos(45°) + cos(30°)sin(45°)
sin(30°+45°) = (1/2)(√2 / 2) + (√3 / 2)(√2 / 2)
sin(30°+45°) = (√2 / 4) + (√6 / 4)
sin(30°+45°) = [(√2 + √6) / 4]
sin(75°) = [(√2 + √6) / 4]
Please answer number 8 I’ll give brainliest thank you!
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Answer:
how about no
Step-by-step explanation:
did anyone ask
Which of the following equations will produce the graph shown below?
Answer:
x-1/8y^2=0
Step-by-step explanation:
just took the test
Find the length, width and perimeter of 3 possible different rectangles given the area of 12 square units. Fill out the table below. PLSSS HELPPPPP
1.) Which rate gives the best price for scrapbook paper?
10 sheets for $2
6 sheets for $.60
5 sheets for $1
3 sheets for $.60
please show an actual answer i need help
Answer:
1. wire is approx. 143.96 ft
2. pole is approx. 106.55 ft
Step-by-step explanation:
Mapping the information on the SOHCAHTOA picture below:
Φ = 46
wire = hypotenuse
adjacent side = 100
CAH is most suitable:
cos 46° = 100/wire => wire = 100/cos 46 ≈ 143.96
pole = opposite side + 3
TOA is most suitable:
tan 46° = (pole-3)/100 => pole = 3 + 100 * tan 46 ≈ 106.55
URGENT NEED HELP GIVING BRAINLY AND EXTRA PTS GIVE EVIDENCE NO LINKS OR FAKE ANSWERS OR I THINK AS THAT ALLOWS YOU TO SCAM PTS IF YOU DO U WILL BE REPORTED
Step-by-step explanation: To find the IQR of a box plot, you must identify the location of Q1 and Q3. Subtracting the values will give you the IQR
Answer:
D. 20Step-by-step explanation:
IQR = Q3 - Q1IQR = 36 - 16 = 20Correct choice is D
someone please help I will give biranlyest to who ever is right.
Answer:
A. cd4
Step-by-step explanation:
A diner sells large drinks for 3$ and small drinks for 2$. Last month, they sold 420$ of the large size. How many large size drinks were sold last month?
Answer:
140 Large sized drinks were sold last month
Step-by-step explanation:
Each large drink is sold at $3
Therefore, we divide the amount of money which is $420 by $3
= $420 ÷ $3 = 140 Large sized drinks
The number of hamburgers H sold and the dollar amount of sales S taken in. what is the independent variable and what is the dependent variable?
Answer:
H = independent variable
S = dependent variable
Step-by-step explanation:
number of hamburgers sold isnt affected by other factors
sales taken in depend on Hamburgers sold
The scale below represents which equation or inequality?
S or T
A. S = t
B. s > t
C. s < t
Answer:
B
Step-by-step explanation:
s>t because s is on top of the scale and t is below the scale
Please help! NO LINKS (Answer and explanation please :( )
Answer:
sum of angles in a quadrilateral is 360
Step-by-step explanation:
3x-15 +3x+15+y+30+D=360
hope that explanation helps
Find the volume: 8 cm 20 cm 12 cm
Answers: 960 cm 1920 cm 3 960 cm 2 240 cm
Answer:
1920 cm
Step-by-step explanation:
You multiply the values together. 8 times 20 times 12 is equal to 1920 cm.