Answer:
The 95% confidence interval for the true proportion of the given population that smokes is (0.1630, 0.2204).
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 z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
Sample of 725, 139 smoke:
This means that [tex]n = 725, \pi = \frac{139}{725} = 0.1917[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1917 - 1.96\sqrt{\frac{0.1917*0.8083}{725}} = 0.1630[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1917 + 1.96\sqrt{\frac{0.1917*0.8083}{725}} = 0.2204[/tex]
The 95% confidence interval for the true proportion of the given population that smokes is (0.1630, 0.2204).
Which equation represents the relationship between x and y?
X y
1 4
2 5
3 6
4 7
Answer:
0 and 3, right? like look how everything else is set up
Step-by-step explanation:
1 4
2 5
3 6
4 7
they all add one to each number every problem. So subtract 1 from both and that should be your answer.
x/3 + 35 ≤ 65 pls help
Answer:
x [tex]\leq[/tex] 90
Step-by-step explanation:
Find the value for x which makes the statement true.
10x+4=−26
Answer:
x = -3
Step-by-step explanation:
10x + 4 = -26
10 x = -30
x = -3
what is the area of the right triangle
Answer:
8.10 you didn't specify what unit was being used
Fun Fact : You are so effing beautiful. And i love you. Hundreds of people do. Tell this to someone who needs it.
Answer:
You're beautiful!
Use the diagram of the parallelogram to answer the question. 18 m 10 m 6 m *not drawn to scale What is the perimeter of the parallelogram? A. 34 m B. 54 in O C. 56 m D. 62 mm OE. E. 108 m
Help will give brainliest
Answer:
i think it might be E: 108 m ? im not sure
Enter the value of p so that the expression 4 (n+8) is equivalent to (n+p)4
Find f(5) for f(x)=1/4(2)^x
O A. 4
O B. 32
C. 2
O D. 8
Answer:
D. 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationStep-by-step explanation:
Step 1: Define
f(x) = 1/4(2)ˣ
f(5) is x = 5 for function f(x)
Step 2: Evaluate
Substitute in x [Function]: f(5) = 1/4(2)⁵Exponents: f(5) = 1/4(32)Multiply: f(5) = 8The triangle represents a scale drawing that was created by using a factor of One-half. A triangle with sides lengths of 5 inches. Which is true of the measures of the sides of the original triangle? Each side of the original triangle is One-half the length of each side of the scale drawing. Each side of the original triangle is 2 times the length of each side of the scale drawing. Each side of the original triangle is the same length as each side of the scale drawing. Each side of the original triangle is 2 inches shorter than the scale drawing.
Answer:
Step-by-step explanation:
C
Answer:
D (Each side of the original triangle is 2 times the length of each side of the scale drawing.)
Step-by-step explanation:
I did it on Edge 2021.
may i please get help for this please and thank you
Find the lateral area of the cylinder
Answer:
Step-by-step explanation:
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.
y=-16x^2+129x+119
y=−16x
2
+129x+119
4
The portable basketball hoop shown is made so that BA= AS = AK. The measure of BSK is 76. What is m(angle)AKB?
Answer:
have you found the answer
If f(x) = x and g(x) = vx, what is f(g(x) when x = -3?
Answer:
f(g(x) = -3v
Step-by-step explanation:
A box contains 3 defective batteries and 7 good ones. You reach in and pull out three
batteries. What is the expected number of defective batteries?
Answer:
The expected number of defective batteries to be pulled out is 0.9, which rounded to the nearest integer gives a total of 1, that is, 1 of the 3 batteries is expected to be defective.
Step-by-step explanation:
Given that a box contains 3 defective batteries and 7 good ones, and I reach in and pull out three batteries, to determine what is the expected number of defective batteries, the following calculation must be performed:
3 + 7 = 100
3 = X
10 = 100
3 = X
3 x 100/10 = X
300/10 = X
30 = X
3 x 3/10 = X
0.9 = X
Therefore, the expected number of defective batteries to be pulled out is 0.9, which rounded to the nearest integer gives a total of 1, that is, 1 of the 3 batteries is expected to be defective.
3. Michael and Erica went
apple-picking. Michael's basket was
f full. Erica picked 3 į times as
many apples as Michael. How many
baskets of apples did Erica pick?
A
A
1
16
8
С
7
16
D3
she picked about 1 more basket than him because 1/8 x 3.5 is 0.4375
you would round to the nearest basket
Can someone please help me? And it says “Solve each equation. Then, prove that your answer solves the original equation?
Step-by-step explanation:
We need to solve each equation.
a. 6c = 30
c = 30/6 = 5
b.
2d-6=12
Adding 6 both sides
2d-6+6=12+6
2d = 18
d = 9
c.
[tex]\dfrac{x}{3}+9=2\\\\\dfrac{x}{3}=-7\\\\x=-21[/tex]
d.
50=14+3m
50-14=3m
36=3m
m = 12
Hence, this is the required solution.
Help fast
Identify the graph of the compound inequality (-2<2x-6) and (3x-12310).
DONE
Answer:
The first one
Step-by-step explanation:
Answer:
The first Graph
Step-by-step explanation:
Edge 2021
When Nathaniel left his house in the morning, his cell phone battery was partially
charged. The charge remaining in Nathaniel's battery, as a percentage, can be
modeled by the equation B = 52 - 6.5t, where t is the number of hours since
Nathaniel left his house. What is the slope of the equation and what is its
interpretation in the context of the problem?
Answer:
Slope -6,5
Step-by-step explanation:
Slope of the equation is -6.5 which is mean that every our his battery lose 6.5 percent of charge. 52 represent here the percentage of battery at the time he left the house.
there are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter.
To the nearest inch, how many inches are in 14 meters?
Answer:
551
Step-by-step explanation:
Answer:
551.18 inches
Step-by-step explanation:
convert 14 m to cm, so multiply 14 by 100, to get 1400, then convert to inches, so divide by 2.54, which gives you 551.18 inches
3x^2+23x^343x^2+13x-10
Answer:
mathmaticicans :impossible
Step-by-step explanation:
some random kid :the answer is aproximatly 42
1 1/4 X 5 3/4 = _________________
Answer:
7 1/8
Step-by-step explanation:
Hope this helps
Answer: 7.1875
Step-by-step explanation:
First you would multiply the two numbers which are 1 1/4 and 5 3/4 then you would simplify that because you would get 115/16 then when you simplify you get 7.1875
Find the equation of the line specified. The slope is -4, and it passes through ( 5, 8).
Answer:
equation= y-y¹=m(x-x¹)
y-8=-4(x-5)
y-8=-4x+20
y+4x=20+8
y+4x=28
A runner can run 5 miles in 26 minutes at this rate how many miles can he run and 41.6 minutes?
Answer:
8 miles
Step-by-step explanation:
Given: A runner can run 5 miles in 26 minutes, 41.6 minutes = ___
To find: At this rate, how many miles can he run and 41.6 minutes?
Solution: If the runner ran 5 miles in 26 minutes, to find how far he ran in 41.6 minutes, set up a fraction:
let x be the variable
[tex]\frac{26}{5} = \frac{41.6}{x}[/tex]
Apply fraction cross multiply;
[tex]26x=5\cdot \:41.6[/tex]
[tex]26x = 208[/tex]
Divide both sides by 26
[tex]\frac{26x}{26}=\frac{208}{26}[/tex]
Simplify
[tex]x = 8[/tex]
Then, at the rate, the runner ran 8 miles 41.6 minutes
If there are 16 red bobbles for every 2 green dandees, how many red bobbles are there in 20 green dandees?
200
8
160
16
Answer:
160
Step-by-step explanation:
20 / 2 = 10
10 * 16 = 160
i will give Brainiest if your right
Answer:
D. -9p + 0.5
Step-by-step explanation:
2(-4p-1) + (2.5-p)
Distribute the 2 and invisible 1
so
-8p - 2 + 2.5 - p
Combine like terms
-8 p + (-p) = -9p
-2+2.5 = 0.5
so
-9p+0.5
A rare baseball card that was purchased increases in value over time. The function C(t) is represented on the following graph, where C represents the value of the card, and t is time in years since the card was purchased.
What is the initial value, and what does it represent?
Select the statement that answers both parts of the question correctly.
The initial value is 0 and it represents the lowest value of the card.
The initial value is 10 and it represents the amount of time it takes for the card to increase in value.
The initial value is 12,000 and it represents the price of the baseball card at the time of purchase.
The initial value is 12,000 and it represents the price of the card when it was new.
Answer: The initial value is 12,000 and it represents the price of the baseball card at the time of purchase.
Explanation: I just looked at the beginning of the graph, surprisingly I got it right.
Initial value is 12,000 and it represents the price of the baseball card at the time of purchase.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Given,
The function C(t) is represented on the following graph, where C represents the value of the card, and t is time in years since the card was purchased.
We need to find the initial value and we have to select the statement which is true.
The initial value is 0 and it represents the lowest value of the card.
The initial value is 10 and it represents the amount of time it takes for the card to increase in value.
The initial value is 12,000 and it represents the price of the card when it was new.
Among the given statements, the 4th statement is true based on the graph.
Hence initial value is 12,000 and it represents the price of the baseball card at the time of purchase.
To learn more on Graphs click:
https://brainly.com/question/17267403
#SPJ2
Please help with this!
Answer:
1. -4, 17
2. -14, -9
3. -14, -4
4. 6, -7
5. 12, 6
6. -1, 15
7. -7, 15
8. 3, 6
9. 1, 18
10. -10, -4
11. 2, 12
12. -1, 12
13. -17, 6
14. -7, 9
15. 4, 14
16. 4, -19
17. -11, -9
18. -10, 18
19. 1, 5
20. -1, 4
21. -8, 17
22. -12, -5
23. -6, 18
24. -3, 6
Helpppp please prettty pleaseee THIS IS TIMED. I WILL MARK Brainliest. NO LINKS Please Or I WILL REPORT YOU. PLEASE GIVE EXPLANATION
Answer:
Please show the picture or question.
Is this the right answer for this question?
Answer:
yes it is
Step-by-step explanation:
Answer:
I am not that sure but I think yes
Step-by-step explanation:
hope it is right not that sure tho but I think that is that tho
Please help and explain ( Brainliest for answer!)
Answer:
AD = 3
Step-by-step explanation:
Pythagoras theorem formula: a² + b² = c² (c being the hypotenuse, the longest side of the triangle).
Using this formula, you can easily say that c²-b²=a². c=5, b=4, making the equation 5² - 4² = a ².
Expanding the formula, you'll get 25 - 16 = a².
25 - 16 = 9.
This means that 9 = a².
To find a, you need to root 9. Using a calculator, you'll know that this number is 3, meaning that AD = 3.