A study of 420,027 cell phone users found that 133 of them developed cancer of the brain or nervous system. Prior to this study of cell phone use, the rate of such cancer was found to be 0.0414% for those not using cell phones. Complete parts (a) and (b). a. Use the sample data to construct a 90% confidence interval estimate of the percentage of cell phone users who develop cancer of the brain or nervous system.
Answer: (0.00027144, 0.00036176)
Step-by-step explanation:
The sample proportion of cell phone users who develop cancer of the brain or nervous system = [tex]\dfrac{133}{420027}=0.0003166[/tex]
Sample size : 420027
Confidence interval for p: [tex]\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex], where [tex]\hat{p}[/tex]= sample proportion , n= sample size , z* = crirical z value.
For 90% confidence interval , z*= 1.645
Required confidence interval:
[tex]0.0003166\pm (1.645)\sqrt{\dfrac{0.0003166(1-0.0003166)}{420027}}\\\\=0.0003166\pm 0.00004516\\\\=(0.0003166-0.00004516,\ 0.0003166+ 0.00004516)\\\\=(0.00027144, \ 0.00036176)[/tex]
A 90% confidence interval estimate of the percentage of cell phone users who develop cancer of the brain or nervous system = (0.00027144, 0.00036176)
a certain vehicle can drive 300miles on a tank of 20 gallons. how far can it drive on 30 gallons?
what is the answer in miles ??
PLEASE HELP ME !!!!
Answer:
450 miles
Step-by-step explanation:
First you calculate miles per gallon, which you do by dividing 300/20. This gives us 15. So you can go 14 miles on one gallon.
From there you multiply 15 by 30, since you'll be driving 30 miles. This gives us 450 miles.
Step-by-step explanation:
[tex] \frac{300}{x} \times \frac{20}{30} = \frac{20x}{20} \frac{9000}{20} x = 450miles[/tex]
what is the value of 7|H| + 4G?
Answer:
a-70
Step-by-step explanation:
28+42=70
Hi!
7|H| + 4G = 7 * |-6| + 4 * 7 =
= 7 * 6 + 4 * 7 = 42 + 28 = 70
Grettings!
What value of x will make the equation below true?
2x=5x−6
Answer:
x=2
Step-by-step explanation:
Answer:
x = 2
Step-by-step explanation:
2x = 5x-6
Subtract 5x from each side
2x-5x = 5x-6-5x
-3x = -6
Divide by -3
-3x/-3 = -6/-3
x = 2
Suppose the family wise error rate is 0.05, if there are ten levels of one factor but only 5 comparisons are of importance, what would the individual error rate need to be for each of those 5 comparisons? Group of answer choices 5 0.01 .05 0.10
Answer:
Individual error rate = 0.01
Therefore, Option b) 0.01 is the correct answer
Step-by-step explanation:
Given the data in the question;
family wise error rate ∝ = 0.05
there are ten levels of one factor but
important comparisons m = 5
the individual error rate need to be for each of those 5 comparisons = ?
we know that;
individual error rate = family wise error rate ∝ / important comparisons m
so we substitute
individual error rate = 0.05 / 5
individual error rate = 0.01
Therefore, Option b) 0.01 is the correct answer
A sports shop has 80 employees. 90% of the employees work
part-time. How many part-time employees does the sports shop
have? If necessary, round to the nearest whole number. (Include
the units)
Answer:
72
Step-by-step explanation:
90/100 x 80 = 72 employees
The price of an item has dropped to$63 today.Yesterday it was $140.find the percentage decrease
Answer:
55% drop.
Step-by-step explanation:
To find this first divide 63 by 140 to get .45. Then multiply this value by 100 to get a value of 45%. Then you know that 55% is the amount dropped.
Find the measure of 7
Answer:
126 degree
Step-by-step explanation:
use alternate angles and linear pair
What is the equation of the line that is parallel to the line y = 3x - 4 and passes
through the point (4, -2)?
A. Y= 3x + 2
B. y= 3x - 14
O C. --}x
D. y = 3x + 14
Answer:
B. y = 3x - 14
An airplane is flying from Redville to Leek.
The airplane flies 50 miles East and then 180 miles south.
How far is Leek from Redville directly?
The required distance of Leek from Reidville directly is 186.82 miles.
Given that,
An airplane is flying from Reidville to Leek. The airplane flies 50 miles East and then 180 miles south. How far is Leek from Reidville directly is to be determined.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
The direct distance can be given as,
x = √[50² + 180²]
x = √34900
x = 186.82
Thus, the required distance of Leek from Reidville directly is 186.82 miles.
Learn more about arithmetic here:
brainly.com/question/14753192
#SPJ2
The ounces of yellow paint, y, needed to mix with x ounces of blue paint to make a certain shade of green paint can be represented by the equation y = 1.5x. What is the constant of proportionality of the equation?
Answer:
The constant of proportionality of the equation is 1.5.
Step-by-step explanation:
Equation of proportional measures:
Suppose that y and x are proportional measures. This situation can be equatialized is:
y = ax
In which a is the constant of proportionality.
y = 1.5x. What is the constant of proportionality of the equation?
a = 1.5, so the constant of proportionality of the equation is 1.5.
solve the system by substitution......
Answer:
(4,8) is the answer.
Step-by-step explanation:
To solve by substitution, you need to isolate a variable. The bottom equation already has y isolated, so we can just plug that into the other equation:
[tex]2x=-2x+16[/tex]
Add [tex]2x[/tex] to both sides in order to get rid of the [tex]-2x[/tex] on the right side:
[tex]4x=16[/tex]
Now divide by 4 on both sides to get:
[tex]x=4[/tex]
That gives us our x. Now plug in that x into either equation. I will just choose the bottom equation:
[tex]y=2(4)\\y=8[/tex]
Therefore the solution to this problem is (4,8).
Priya can bike 150 meters in 20 seconds. At this rate, how long would it take her to bike 3,000 meters? Complete the table to help determine the number of seconds.
Answer:
400 seconds
Step-by-step explanation:
150/20 m/s
vt = d
t=d/v
t = 3000m / (150/20m/s)
t = 400 sec
Leave a like and mark brainist if this helped
A wooden box has the shape of a rectangular prism. The inside of the box is also a rectangular prism. What is the volume of the solid part of the box? Enter your answer below.
Answer:
1560 cm²
Step-by-step explanation:
4*5*22 = 440 cm²
25*8*10 = 2000 cm²
find the difference between the two numbers to find the volume of the solid part of the box
Brₐinliest plz close to leveling up
True or false?
When multiplying fractions, you flip the second fraction to solve.
True - Keep the first fraction the same then flip to solve the MULTIPLICATION problem
True - Only when the second number is a whole number
False - Only when the second number is a whole number
False - You ONLY flip the second fraction when you have a FRACTION DIVISION problem. Keep, change, flip.
Answer:
True - Keep the first fraction the same then flip to solve the MULTIPLICATION problem
Step-by-step explanation:
Answer:
It would be A, True - Keep the first fraction the same then flip to solve the MULTIPLICATION problem.
Step-by-step explanation:
geometry question pls help!!!
Find measure of angle BPD
A-9 degrees
B- 14 degrees
C- 155 degrees
D- 146 degrees
Answer:
(C). 155°
Step-by-step explanation:
what is 13 times 95 divided by .35?
Answer:
3,528.57142857
Step-by-step explanation:
Answer:
[tex]3528\frac{4}{7}[/tex]
Step-by-step explanation:
13 × 95 ÷ 0.35
1235 ÷ 0.35
[tex]3528\frac{4}{7}[/tex]
Pls help meee show work if you can ty
if f(x)=6x-8, then f^-1(x)=
Answer:
f(x) is another way to write y.
You have y = 6x - 8.
To find the inverse, switch the x and the y and solve for the new y.
Switching gives you x = 6y - 8.
You add 8 to both sides to give you 6y = x + 8.
Divide both sides by 6 gives you the inverse as y =1/6x + 4/3
Step-by-step explanation:
use division to rename each fraction given below 12/20
Answer:
[tex]Fraction = \frac{3}{5}[/tex]
Step-by-step explanation:
Given
[tex]Fraction = \frac{12}{20}[/tex]
Required
Rename using division
This simply means that we reduce the fraction
So, we have:
[tex]Fraction = \frac{12}{20}[/tex]
Divide by 4/4
[tex]Fraction = \frac{12/4}{20/4}[/tex]
[tex]Fraction = \frac{3}{5}[/tex]
MATH PROBLEM HERE!!,,,,,,,,,
Answer: uh explain more about the question cause im bad at this sorryyyy :')
Step-by-step explanation:
have a good day im sorry i feel for weird right now heh..
answer 3+3 for 100 points brainlyist to first answer
(yes i know it's simple I'm not d u m b)
Answer:
6
Step-by-step explanation:
plz me
Answer:
6
Step-by-step explanation:
can i have brainliesyt
1219 kg of Swiss cheese is packaged in 3 kg bags. Will there be any cheese left over? How do you know?
Answer:
1 cheese is left over.
Step-by-step explanation:
Given that,
1219 kg of Swiss cheese is packaged in 3 kg bags.
i.e. 3 kg bags = 1219 kg of Swiss cheese
Implies, 1 kg bag = [tex]\dfrac{1219}{3}[/tex] kg of swiss cheese
If we divide 1219 by 3, we get [tex]46\dfrac{1}{3}[/tex]. Here, 46 is the quotient and 1 is the remainder.
It means 1 cheese is left over.
What is the answer to this question
Answer:
49
Step-by-step explanation:
because, A right angle has an angle of 90° degree
so, 41+49
= 90
hence, proved.
if it helps don't forget to like and mark me
Jay bought a guitar on sale at 45% off. The original price was $576.75.
(a)
Find the amount of discount. (Round your answer to the nearest cent.)
$
(b)
Find the sale price. (Round your answer to the nearest cent)
Answer:
317.21 (sales price)
259.53 (discount amount)
Step-by-step explanation:
First, we need to divide.
576.75/100=5.7675 (note that I will be rounding at the end)
5.7675 x 55 (100-45) = 317.2125
Rounds to: 317.21
Now, we need to find the discount amount.
576.75
-317.21
=259.53
solve the system by substitution.......
Answer:
x=3
y=15
Step-by-step explanation:
y=5x
y=-4x+27
5x=-4x+27
+4x +4x
9x=27
/9 /9
x=3
y=5x
y=5(3)
y=15
What is the factorization of the expression below?
4x^2-9y^2
O A. (2x - 3)(2x + 3y)
B. (2x-3y)(2x-3y)
O C. (4x - 3y)(x + 3y)
D. (4x-3y)(x-3y)
Answer:
answer will be A. (2x-3)(2x+3y)
29 over 11 as a decimal
Answer:
29/11 = 2 7/11
Step-by-step explanation:
Hope that this helps you out! :)
If you have any questions please put them in the comment section below this answer.
Have a great rest of your day/night!
Please thank me on my profile if this answer has helped you.
Answer:
2.636
The 63 keeps repeating itself so you can add a line above the 63 instead.
HELP ME PLEASE IT WOULD BE NICE
Answer:
90 degre i cant wright the small o thing but is 90
Step-by-step explanation:
Jose and two of his friends are collecting baseball cards. Their goal is for the three of them to collect at least 100 cards in total. At the moment they have 43
cards. If they all plan to now collect the same number of cards, which inequality can Jose use to determine the minimum number of cards each person needs
to collect to reach their goal?
Answer:
3c + 43 >_ 100
Step-by-step explanation:
