Of 1000 randomly selected cases of lung cancer, 823 resulted in death within 10 years. a. Calculate a 95% two-sided confidence interval on the death rate from lung cancer. b. Using the point estimate of p obtained from the preliminary sample, what sample size is needed to be 95% confident that the error in estimating the true value of p is less than 0.03
Answer:
a. The 95% confidence interval is 0.799<p<0.847
b. The sample size n is 622
Step-by-step explanation:
A
P^ = 823/1000
= 0.823
At 95% confidence interval
P^ +- z-alpha/2√p^(1-p^)/n
z-alpha/2 = 1.96
When we insert values we get:
0.823+-1.96√0.823(1-0.823)/1000
= 0.823+-1.96√0.000145671
= 0.823+-1.96(0.012069)
= (0.8467, 0.7993)
The 95% confidence interval is 0.799<p<0.847
B.
We are to compute the sample size here.
The formula and full calculation has been done in the attachment.
4268.4x0.145671
= 621.78
= 622
n = 622
16. If there are 75 calories in 220 grams of an artificial sweetener, how many calories would be
in 484 grams of that same artificial sweetener?
d. 165 calories
a. 150 calories
b. 155 calories
c. 160 calories
Answer:
d. 165 calories
Step-by-step explanation:
First of all, we would find the amount of calories in 1 gram of the artificial sweetener
1 gram = 220/75
1 gram = 2.93 calories
Therefore, 484 grams has;
484 * 2.93 = 165.2
Approximately, this is equal to 165 calories.
Method 2
220 grams of the artificial sweetener has 75 calories.
484 grams of the artificial sweetener has x calories.
Translating the word problem into an algebraic equation, we have;
220 = 75
484 = x
Cross-multiplying, we have;
220x = 75*484
220x = 36300
x = 36300/220
x = 165 calories.
A line with a slope of 1 passes through the point (7, 9). What is its equation in
slope-intercept form?
Answer: y=1x+9
Step-by-step explanation: Hope this helped!!
Which algebraic expression is equivalent to the expression below?
(16x + 1) - 5x
A.
21x + 1
B.
16x + 4
C.
11x - 1
D.
11x + 1
Answer:
D
Step-by-step explanation:
(16x +1) -5x
you basically subtract the -5x from 16x
11x +1
I'll give brainiest. A theater has 384 seats. Each row has 16 seats. The area model represents this situation.What is the value of x in the area model? Enter your answer in the box.
Answer:
4
Step-by-step explanation:
64 divided by 16 is 4.
To check your answer, you can always add the top: 20+4 which is 24, and multiply that by 16: which is 384-the total number of seats.
Multiple choice A,B,C,D
Answer:
The Answer is A
Step-by-step explanation:
Find the slope of the line through the points (2, -2) and (8, -2)
Answer:
0
Step-by-step explanation:
We can find the slope using
m = ( y2-y1)/(x2-x1) where ( x1,y1) and ( x2,y2) are points on the line
m = ( -2 - -2)/(8 - 2)
= ( -2 +2) / ( 8-2)
= 0/6
=0
The slope is 0
A grocery store sells a bag of 4 lemons for $0.79. Which pricing option would result in the same unit price for each lemon?
O A. twelve lemons for $2.37
O B. three lemons for $0.65
O C. six lemons for $1.20
OD two lemons for $0.35
Plz help for 20 points
Answer:
.79/4= .197. Or 20 cents each
The cost per unit of lemon in Option A is same as given per unit cost of lemon in grocery store that is $0.1975
What is cost per unit?Cost of per unit is cost of one unit. Cost per unit can be calculated simply by dividing the total cost of all items by the quantity of given item.
Given Cost of 4 lemons in a grocery store = $ 0.79
Cost of 1 lemon in the grocery store = total cost / 4 = $ 0.79÷ 4 = $0.1975
To check pricing option for same pricing check per unit price of each option.
A. Given twelve lemons for $2.37
Given Cost of 12 lemons = $ 2.37
Cost of 1 lemon = total cost / 12 = $ 2.37 ÷ 12 = $0.1975
B. Given three lemons for $0.65
Given Cost of 3 lemons = $ 0.65
Cost of 1 lemon = total cost / 3 = $ 0.65 ÷ 3 = $0.2167
C. Given six lemons for $1.20
Given Cost of 6 lemons = $1.20
Cost of 1 lemon = total cost / 6 = $ 1.20 ÷ 6 = $0.2
D. Given two lemons for $0.35
Given Cost of 2 lemons = $0.35
Cost of 1 lemon = total cost / 2 = $ 0.35 ÷ 2 = $0.175
Therefore , option A has same per unit cost $0.1975 as given pricing of the grocery store.
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Explain how to creatExplain how to create an equation with infinitely many solutions.
e an equation with infinitely many solutions.
Answer:
In this case, the idea is that you have to create something that makes both the right side of the equation and the left side to be equal to each other which gives you an infinite number of solutions. so if you have 5x-8 on the left, you need 5x-8 on the right for everything to cancel and end up with 0=0.
Step-by-step explanation:
Answer: You can start with any statement in the form a = a. Then add the same variable term to both sides, and add the same constant term to both sides. Combine like terms on each side.
Step-by-step explanation:
Which is a way to break up the irregular figure into shapes that you have area formulas for?
A pentagon is broken into a triangle and a trapezoid.
A pentagon is broken into a triangle and a rectangle.
A pentagon is broken into a triangle and a trapezoid.
A pentagon is broken into 2 trapezoids.
Answer:
1 parallelogram and 1 rectangle
Step-by-step explanation:
its right ;) edge 2022
Answer:
D.
Step-by-step explanation:
Hope this helps you <3
Which expression is equivalent to 27 + 45? (1 point) 8(3+6) 8(19 + 37) 09(3 + 5) O 9(18 + 36)
Answer:
9(3+5)
Step-by-step explanation:
My favorite pancake recipe
2 cups all purpose | plain flour, (290 g | 10 oz)
1/4 cup granulated sugar or sweetener, (60g | 2 oz)
4 teaspoons baking powder
1/4 teaspoon baking soda
1/2 teaspoon salt
1 3/4 cups milk, (440ml)
1/4 cup butter, (60g | 2 oz)
2 teaspoons pure vanilla extract
1 large egg
Combine everything in a bowl (separate wet and dry) and cook at medium low heat until it is brown and there are bubbles on top. Then serve with syrup. Good luck!!!
Answer: 8(3+6)
Step-by-step explanation:
A person can burn
8 Calories per minute of running.
Determine whether the number of
Calories is proportional to the number
of minutes
Answer:
absolutely
Step-by-step explanation:
if you run for one min., you burn 8 calories right?
so if you run for example 10 mins., you would burn 80 calories
80>8
so yes
Jessica hiked 5 miles in 2 hours. At this same rate, what is the total number of miles Jessica could hike in 14 hours?
Answer: 35
so in one hour she'd do 2.5 hours
so in 14 she'd do 2.5*14=35
1+1 explain in ironically amazing detail!
Explain this is to me.
Answer:
6
Step-by-step explanation:
y=mx+b
M=Slope
B=Yintercept (6 in this case)
Where the line crosses the Y axsis
y= -8x + 6
Hope this helps.
Answer:
Hi so when you write an equation for a line I like you start with finding the y-intercept (where the line crosses the y-axis) in this case it is 6, remember that. Now we need to find the slope. I like to just count over and down from the points they give us. In this case it is 8 down and over 1. 8/1 is just 8 and the line is pointing downwards so the line is negative.
Now we put it together: y=mx+b (m is slope and b is y-intercept)
y= -8x + 6
Hope this helped!
find specified geometric series of the following geometric sequences of 3, 12, 48,... S7 with solution?
Answer:
Step-by-step explanation:
The formula for fundung the nth term of t geometeric series is expressed as;
Tn = ar^(n-1)
a is the first term
n is the number of term
r is the common ratio
Given
a = 3
r = 21/3 = 48/12 = 4
Substitute
Tn = 3(4)^(n-1)
Tn = 3(4^n/4)
Tn = 3/4(4^n)
Tn = 0.75(4^n)
Hence the nth term of the geometric series is Tn = 0.75(4^n)
To get any term, simply substitute the value of into the equation
Find the simple interest earned after 5 years on $800 at an interest rate of 9
Answer: It would be $1160
Marcus estimates that 230 people will show up to the band concert at his middle school. The actual total attended was 300. Find the percent error.
Answer:
30.43% error
I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)
write an equation in point slope form for the line that has a slope 1/3 and passes through (-2,8)
Answer:
y - 8 = 1/3 (x + 2)
Step-by-step explanation:
The equation y - 8 = 1/3 ( x + 2) has a slope form for the line that has a slope 1/3 and passes through (-2,8). The answer to the question is y - 8 = 1/3 (x + 2).
Hope this helps!
The equation of the line will be written as to y - 8 = 1/3 (x + 2).
What is an equation of the line?
An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given that the line has a slope 1/3 and passes through (-2,8). The equation of the line will be,
y - y₁ = m(x - x₁)
y - 8) = (1/3)(x + 2 )
Therefore, the equation of the line is equal to y - 8 = 1/3 (x + 2).
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168 students enrolled in a freshman-level chemistry class. By the end of the semester, 5 times the number of students passed as failed. Find the number of students who passed.
Answer:
33.6
Step-by-step explanation:
The midpoint of the segment joining (0,0) and (16, 16) is 8.
True or false?
Answer:
True
Step-by-step explanation:
If you look on a graph you can see that the midpoint of the segment is 8.
Hope this is right and helps!
Calculate 21+23+25...+81
Answer:
150
Step-by-step explanation:
Have a great night. ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎
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︎ ︎ ︎︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎
A small order of fries at Wendy’s has 90 more calories than the small order of fries at McDonald’s. If together they have 550 calories, how many calories are in the Wendy’s small order of fries?
Answer:
320 caloriesStep-by-step explanation:
Small order of fries at Wendy’s = x calories
Small order of fries at McDonald’s = y calories
x = y + 90x + y = 550Substitute x in the second equation
y + 90 + y = 5502y = 550 - 902y = 460y = 230Then, x is:
x = 230 + 90 = 320 calorieswhat is the x intercept of the line
Answer:
Hey man! Please upload a picture of your line and I'll hapily find the x intercept. If you can't the way to find an x intercept is to see where the x is zero and find what the y is so (0,y)
3n = –8 + 4n
with work shown
Answer:
n=8
Step-by-step explanation:
3n=−8+4n
Simplify both sides of the equation.
3n=4n−8 (there isn't so It stays the same.
Subtract 4n from both sides.
3n−4n=4n−8−4n
−n=−8
Divide both sides by -1.
−n/-1 =−8/-1
Answer:
n=8
Help please I don’t get
Answer:
answer: 5^36
Step-by-step explanation:
(5^9)^4
5^9x4
5^36
answer: 5^36
alternative form 1.45519x 10^25
Answer:
is 5^36
Exact Form:
14551915228366900000000000
Decimal Form:
1.45519152⋅10^[tex]{25}[/tex]
Which function has a range of (-pi/2,pi/2)?
y = Cos-1x
y = Tan-1x
y = Sec-1x
y = Csc-1x
Answer:
b) y=tan^-1(x)
Step-by-step explanation:
edge 2020
which graph represents the function h(x)=2sin(x+pi/2)-1 ?
This graph represents the function h(x)=2sin(x+π/2)-1.
What is graph?
A graph can be defined as a pictorial representation or a diagram that represents data or values.
This graph represents the function h(x)=2sin(x+π/2)-1.
The range is the set of values that correspond with the domain.
Domain of graph: (−∞,∞),{x|x∈R}
Range of graph: [−3,1],{y|−3≤y≤1}
Use the form asin (bx−c)+d to find the amplitude, period, phase shift, and vertical shift.
Amplitude: 2
Period: 2π
Phase Shift: −π/2 (π/2 to the left)
Vertical Shift: −1
Learn more about graph
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the distance from earth to the sun is approximately 93 million miles about how many giga meters is this round to the nearest hundredth
Answer: 149.7
Step-by-step explanation:
For the given expression, find the quotient and
Remainder
2x4 - 7x² + 7x + 2 divided by x2 +9
Quotient:
Remainder:
Answer:
6
Step-by-step explanation: