Answer:
0.818335 ≤ p ≤ 0.86366
Step-by-step explanation:
Given that:
Sample size (n) = 1000
Positive lung cancer = 841
n(p) = 841, p(p) = 841/1000 = 0.841
n(1 - p) = 1000 - 841 = 159
1 - p = 0.159
95% confidence interval
For a 95% confidence interval : z = 1.96
P ± z√p(1-p) / n
0.841 ± 1.96 * √0.841(0.159) / 1000
0.841 - (1.96 * 0.0115636) = 0.818335344
0.841 + (1.96 * 0.0115636) = 0.863664656
0.818335 ≤ p ≤ 0.86366
Mike wanted to purchase a couch for $350.00 and realized the couch was on sale for 25% off. How much would Mike pay for the couch, before taxes, once the discount was applied?
$87.50
$262.50
$349.75
$437.50
Answer:
87.50
Step-by-step explanation
Points W. X, and Y are collinear Point X is between points W X, and Y, are collinear point x is between w and y WX = 3y + 11, WY = 6y - 25, and XY = y + 12. Find WX, XY, and WY.
Answer:
[tex]WX = 83[/tex]
[tex]WY = 119[/tex]
[tex]XY = 36[/tex]
Step-by-step explanation:
Given
[tex]WX = 3y + 11\\WY = 6y - 25\\XY = y + 12[/tex]
Required
Determine the values of WX, XY and XY
Since X is between W and Y, we have:
[tex]WY = WX + XY[/tex]
[tex]6y - 25 = 3y + 11 + y + 12[/tex]
Collect Like Terms
[tex]6y - 3y - y = 25 + 11 + 12[/tex]
[tex]2y = 48[/tex]
Solve for y
[tex]y = 48/2[/tex]
[tex]y = 24[/tex]
Substitute 24 for y in
[tex]WX = 3y + 11\\WY = 6y - 25\\XY = y + 12[/tex]
[tex]WX = 3 * 24 + 11[/tex]
[tex]WX = 83[/tex]
[tex]WY = 6 * 24 - 25[/tex]
[tex]WY = 119[/tex]
[tex]XY = 24 + 12[/tex]
[tex]XY = 36[/tex]
Evaluate -2a + b for a = -7 and b =-5
Answer:
9
Step-by-step explanation:
-2a + b
-2 (-7) + -5
14 + -5
9
Initially a pool contains 340 gallons of water. A hose is placed in the pool, and the water is turned on. The hose adds 5.2 gallons of water per minute. Write an equation to represent the total amount V of water in the pool in terms of x, the number of minutes the hose has been on.
Answer: Amount of water that is turned in a minute is 5.2d. Given the fact that initially was 350 gallons of water everything you pour needs to be added to the initial amount. So the answer is V(x) = 350 + 5.2x
thank me plz brainliest
Step-by-step explanation:
For the y-values in the given in the table, add x-values that will eliminate the set of ordered pairs as being a function. State the four c-values. X, Y 9,2,6,11
The x-values could be 1,3,1,3 because this would eliminate it fom being a function.
Simplify the compound fractional expression.
(x-(x/y) / (y-(y/x)
Answer:
The simplified form of the compound fractional expression is [tex]\frac{x^2(y-1)}{y^2(x-1)}[/tex].
Step-by-step explanation:
Simplify the fraction as shown:
[tex]\dfrac{x-\frac{x}{y} }{y-\frac{y}{x} }[/tex]
Take the LCM.
[tex]\dfrac{\frac{xy-x}{y} }{\frac{xy-y}{x} }[/tex]
Simplify,
[tex]\frac{xy-x}{y} \times\frac{x}{xy-y}[/tex]
[tex]\frac{x^2(y-1)}{y^2(x-1)}[/tex]
Hence, the simplified form of the compound fractional expression is [tex]\frac{x^2(y-1)}{y^2(x-1)}[/tex].
(3.8 x 10^5) + (5.7 x 10^5) answer in scientific notation
Which equation shows y=3x−15 in standard form?
A. 15x−5y=1
B. 15x+5y=−1
C. 5x−15y=1
D. 5x−15y=−1
Answer:
c 5x -15y =1
Step-by-step explanation:
5x-15y=1
-5x -15y= 1 -5x change the signs on both sides of the equation
15y = -1 +5x divide both sides by 15
y = -1/15 + 1/3 x Reorder the terms
y = 3x-15
:)
All options are wrong here.
Given equation is [tex]y=3x-15[/tex].
the equation given here is in form of [tex]y=mx+c[/tex] . The general equation of any straight line where m is the gradient of the line (how steep the line is) and c is the y -intercept (the point in which the line crosses the y -axis) .
We have to write [tex]y=3x-15 \\[/tex] in standard form.
The standard form for linear equations in two variables is Ax+By=C.
Now we convert [tex]y=3x-15[/tex] in standard form.
Here [tex]y=3x-15\\[/tex]
[tex]y-3x=-15\\\\-y+3x=15[/tex]
[tex]3x-y=15[/tex]
But no options match with the above standard form of equation.
Hence all options are wrong here.
For more details on standard form for linear equations follow the link:
https://brainly.com/question/7380540
Help please for brainliest
Answer:
4.62 ? if we're not rounding to the nearest tenth
exact:
4.61867098
A pizza restaurant has 63
2/3 cups of flour. Each batch of pizza dough uses 5 1/4 cups of flour.
Answer:
12 i think
Step-by-step explanation:
Answer:
I need help with this!!!!!
Step-by-step explanation:
The other person said 12 but how what if its not. ?
Find the Least Common Denominator of the fractions 5/8 , 1/2 , and 5/6
The Least Common Denominator of the fractions 5/8, 1/2, and 5/6 is 24.
What is least common denominator?The smallest number that can serve as a common denominator for a group of fractions is known as the least common denominator (LCD), also known as the lowest common denominator. The "smallest non-zero common number," a multiple of both numbers, is the least common multiple of two numbers.
How to solve it?Here, the given fractions are 5/8, 1/2, and 5/6.
So, we have to find the least common multiple of 8, 2, and 6 [Since they are the denominators of our given fractions].
8 = 2*2*2
2 = 2*1
6 = 2*3
So LCM of 8, 2, and 6 is 2*2*2*3 = 24
Therefore the Least Common Denominator of the fractions 5/8, 1/2, and 5/6 is 24.
Learn more about Least Common Denominator here -
https://brainly.com/question/12839053
#SPJ2
im so stupid i need help 14.7 ÷ 7= what equation/
Question 1
1 pts
A high school gym teacher records how much time each student requires to complete a one-mile run.
This
is an example of measuring a continuous variable.
Answer:
True : It is an example of a continuous variable
Step-by-step explanation:
Numerical variables acn be classed as either being discrete or continuous based on whether the values in the data set are finite and countable or not.
Discrete variables are characterized by possessing a finite number of possible values which are countable and usually do not involve decimal numbers in between successive whole numbers.
On the other hand continuous variables are non finite and usually contains a lot of points in between possible whole numbers such as in the scenario above, the race time for the students take up any number within minutes, seconds and milliseconds. Hence, making the possible Numner of values impossible to predict or state.
need help with promblem
Select all the proper fractions.
Answer:
what are the fractions?
Step-by-step explanation:
Answer:
Step-by-step explanation:
The size of the deer population at a national park increases at the rate of 4.9% per year. If the size of the current population is 153, find how many deer there should be in 6 years. Use y=y0e0.049t and round to the nearest whole number. Question 6 options: a) 205 b) 203 c) 210 d) 209
Answer:
Im a be honest it either 203 or 205 Im leaning towards 205
Step-by-step explanation:
please please please please please
heeeeeeeeelp
Answer and I will give you brainiliest
9514 1404 393
Answer:
your marked choice is correct: x = e
Step-by-step explanation:
For the line to go through the origin, the ratio of ln(x) to x at the point must equal the slope at the point.
The slope of ln(x) is 1/x, so we require ...
ln(x)/x = 1/x
ln(x) = 1 . . . . . . multiply by x
x = e . . . . . . . . take antilogs
A family is purchasing 17 tickets for a downtown walking tour. Adult tickets are $10, child tickets are $7, and senior tickets are $8.50. The total
cost of the tickets is $141.50, and they are purchasing 2 more senior tickets than adult tickets.
Create and solve a system of linear equations to represent this situation. Then select the true statement.
А. The solution to this system is nonviable because it results in a fractional number of tickets.
B. The solution to this system is no viable because it results in a negative number of tickets.
C. The solution to this system is viable.
D. The solution to this system is nonviable because it results in a fractional amount of money.
Answer:
А. The solution to this system is nonviable because it results in a fractional number of tickets.
Step-by-step explanation:
Let x represent the number of adult tickets, y represent the number of child ticket and z represent the number of senior ticket.
Since the number of purchased ticket is 17, hence:
x + y + z = 17 (1)
The total cost of tickets is $141.50, hence:
10x + 7y + 8.5z = 141.5 (2)
they are purchasing 2 more senior tickets than adult tickets, therefore:
x = z + 2 (3)
Solving equation 1 2 and 3 simultaneously gives:
x =17/3, y = 23/3, z = 11/3
Therefore the solution to this system is nonviable because it results in a fractional number of tickets.
Answer:
А.The solution to this system is nonviable because it results in a fractional number of tickets
Step-by-step explanation:
took the test on edmentum and got it correct
22-3(4)
How do I answer this question?
Answer:
76
Step-by-step explanation:
22-3=19
19x4=76
c. One sixth of a number is 15. What is the number?
Please explain step by step.
Answer:
90
if 15 is 1 6th then yo need 5 more 15s to find out the whole number
The length of a rectangle is increasing at a rate of 1 meter per day and the width is decreasing at a rate of 2 meters per day. When the length is 8 meters and the width is 18 meters, then how fast is the AREA changing?
Answer:
The area is changing at 2 m²/d.
Step-by-step explanation:
The area of a rectangle is given by:
[tex] A = l*w [/tex]
Where:
l is the length
w is the width
We have that the length is increasing at a rate:
[tex] \frac{dl}{dt} = 1 \frac{m}{d} [/tex]
And the width is decreasing at a rate:
[tex]\frac{dw}{dt} = -2 \frac{m}{d}[/tex]
The change in the rectangle's area is the following:
[tex] \frac{dA}{dt} = w\frac{dl}{dt} + l\frac{dw}{dt} [/tex]
When the length is 8 meters and the width is 18 meters we have:
[tex] \frac{dA}{dt} = 18 m*1\frac{m}{d} + 8 m(-2 \frac{m}{d}) [/tex]
[tex] \frac{dA}{dt} = 18 \frac{m^{2}}{d} - 16 \frac{m^{2}}{d} [/tex]
[tex] \frac{dA}{dt} = 2 \frac{m^{2}}{d} [/tex]
Therefore, the area is changing at 2 m² per day.
I hope it helps you!
"Macy was asked to compare the two ratios 4:5 and 19 to 30. Her work is shown below. Which is true"?
Answer:C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
write each precent as a fraction in simplest from. 2%=
Answer:
1/500
Step-by-step explanation:
Answer:
1/5 i think
Step-by-step explanation:
What is the product of the binomials below? (D+1)(d-2)(d+3)
A bookshelf at a bookstore is 3 feet 9 inches wide. There are 18 copies of the same book on the shelf, which fit the shelf exactly. What is the width of 1 of the books?
Answer:
5 / 2 inches OR 2.5 in
Step-by-step explanation:
3 ft 9 in = 45 inches
45in/18 books
5 in / 2 book
There is a paper attached only 5 questions :)
Answer:
Question 1: 20,160 cookies
Question 2: 37,600 letters
Question 3: 252,396 squares on each tablecloth
Question 4: 138,762 points
Question 5: 4,652,352 shrimp
Step-by-step explanation:
Question 1: Multiply 315 and 64 to get amount of cookies
Question 2: Multiply 940 and 40 to get the number of letters
Question 3: Multiply 36 and 7,011
Question 4: Multiply 26 and 5,337 to get the number of points
Question 5: Multiply 96 and 48,462 to get the number of shrimp the chef prepared.
:)
In the number 65.784, what place is the 7 in?
Answer: tenths
Step-by-step explanation:
Answer:
TENTHS
Step-by-step explanation:
what type of number is -16 square root
Answer:
Irrational Number
Step-by-step explanation:
The irrational numbers are those that cannot be expressed as a ratio of two integers. Examples are as well as the square roots of many other numbers, and special numbers like e and π. It turns out that there are as many irrational numbers as rational. Irrational numbers have no exact decimal equivalents.
Hope this helps (:
Answer:
Irrational number
Step-by-step explanation:
i had it on khan academy
Rewrite 3^-7 using a positive exponent.
Answer: 1/3^7
Step-by-step explanation:
A basket can hold 30 apples. Max has 16 apples. He plans to buy 6 more. Each apple costs $1. After he buys the new ones, how many more apples will the basket hold? The basket can hold more apples after Max buys more.
Answer:
He can buy 8 more apples because 16+6=22-30=8
Step-by-step explanation:
Hope it helps :)
Have a good day/night
Brainliest pls?
