Use the following to answer questions 19-21 Breast cancer is one of the leading causes of death in women prior to age 50. A study of the effectiveness of regular breast self-examination (BSE) reported in the American Journal of Public Health found that 23 of 53 women who discovered a tumor through BSE had a tumor in an early stage. Of 178 women who discovered a tumor by accident, 48 had a tumor in an early stage. Let p1 and p2 denote the proportion of women who detected early stage tumor through BSE and by accident, and let p1 and p2 denote the corresponding estimates.
The SE of p1-p2 is:________
Answer:
s e([tex]p^{-} _{1} - p^{-} _{2}[/tex] ) = 0.07576
Step-by-step explanation:
Step(i):-
The proportion of the first sample
[tex]p^{-} _{1} = \frac{x_{1} }{n_{1} } = \frac{23}{53} = 0.43396[/tex]
The proportion of the second sample
[tex]p^{-} _{2} = \frac{x_{2} }{n_{2} } = \frac{48}{178} = 0.2696[/tex]
Step(ii):-
Standard Error of ([tex]p^{-} _{1} - p^{-} _{2}[/tex]) is determined by
[tex]se(p^{-} _{1} - p^{-} _{2}) = \sqrt{\frac{p^{-} _{1} (1-p^{-} _{1} )}{n_{1} }+\frac{p^{-} _{2}(1-p^{-} _{2} ) }{n_{2} } }[/tex]
[tex]se(p^{-} _{1} - p^{-} _{2}) = \sqrt{\frac{0.43396) (1-0.43396 )}{53 }+\frac{0.2696(1-0.2696 ) }{178} }[/tex]
on simplification, we get
s e([tex]p^{-} _{1} - p^{-} _{2}[/tex] ) = 0.07576
Suppose that there were 226977 visitors to your website over a period of a week, and of those 56330 clicked on the button to get more information about your product. If you wanted to model the probability distribution of the number of visitors who clicked the button, you would typically estimate the mean of the distribution to be equal to the observed number of visitors who clicked, that is the sample mean: 56330.
Required:
Under this setup, what is the variance of this distribution?
Answer:
The variance of this distribution is 42353.2
Step-by-step explanation:
For each visitor, there are only two possible outcomes. Either they clicked on the button, or they did not. Visitors are independent of each other. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The variance of the binomial distribution is:
[tex]V(X) = np(1-p)[/tex]
In this question:
226977 visitors, so [tex]n = 226977[/tex]
56330 clicked, so [tex]p = \frac{56330}{226977} = 0.2482[/tex]
Then
[tex]V(X) = 226977*0.2482*(1 - 0.2482) = 42353.2[/tex]
The variance of this distribution is 42353.2
American Sign Language
In general, Deaf culture is more open about honestly expressing emotion than other cultures.
a. True
b. False
Answer:
false ignore this I needed to write something else to hand it in
What is 33x44=? Give brainleist
1452 is 33x44’s sum
33
x 44
____
132
1320
1452
Answer:
1452
Step-by-step explanation:
33 * 44 = 1452
How do I add 1/8 + 2/6
Answer:
3/24 + 4/24 = 7/24
Step-by-step explanation:
Find a common denominator then multiply the numerator by how many times you multiplied the denominator and add them to get your answer and you may simplify.
While selecting candy for students in his class, Professor Murphy must choose between gummy candy and licorice nibs. Gummy candy packets come in five sizes, while packets of licorice nibs come in two. If he chooses gummy candy, he must select gummy bears, gummy worms, or gummy dinos. If he chooses licorice nibs, he must choose between red and black. How many choices does he have
Answer and explanation:
First Prof. Murphy has to choose between two alternatives: gummy candy or licorice nibs
To find total choices, we only need to multiply number of sizes for each alternative and then add totals for each alternative together
So if Prof Murphy chooses gummy candy. He has sizes= 5 choices and types =3 choices, therefore he has 5×3= 15 choices for gummy candy
If he chooses licorice nibs, he has sizes = 2 choices and types= 2 choices, therefore he has 2×2= 4 choices for licorice nibs
Total choices: 15+4=19
He has 19 different options for selecting candy.
Since while selecting candy for students in his class, Professor Murphy must choose between gummy candy and licorice nibs, and gummy candy packets come in five sizes, while packets of licorice nibs come in two, and if he chooses gummy candy, he must select gummy bears, gummy worms, or gummy dinos, while if he chooses licorice nibs, he must choose between red and black, to determine how many choices does he have, the following calculation must be performed:
Number of sizes x number of options = X Gummy candy = 5 x 3 = 15 Licorice nibs = 2 x 2 = 4 15 + 4 = 19
Therefore, he has 19 different options for selecting candy.
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Which triangle is a translation of the gray triangle?
O ΔDEF
Ο ΔABC
O Neither
Answer:
abc
Step-by-step explanation:
the measures of the angles of a triangle are shown in the figure below solve for x 46° 2x+20° 72°
Answer:
x = 21
Step-by-step explanation:
Add all the angles to get 138 + 2x = 180. Subtract 138 to get 2x = 42. x = 21
Answer:
x = 21
Step-by-step explanation:
Can I have brainliest?
△RST is shown below. XU = –2y + 15 and XW = 3y + 5.
PLEASE HELP ME
The required measure of the radius inscribed in the triangle RST is 11.
What is the triangle?The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°
Here,
The incenter of the triangle will be the center of the circle inscribed in the triangle. and radius will be the perpendicular distance from the incenter to the sides.
So,
XU = XW,
-2y + 15 = 3y +5
5y = 10
y = 2
Now,
Radius = XU
= -2(2) + 15
= 11
Thus, the required measure of the radius inscribed in the triangle RST is 11.
Learn more about triangles here:
https://brainly.com/question/2773823
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The functions f(x),8(x), and h(x) are defined below.
f(x)=32
g(x)= 10x+4
h(x)= x - *
Calculate the indicated function values. Simplify your answers,
13. f(7)
14. f(-9)
15. f(s)
16. f(s – t)
17. g(7)
18. g(-9)
19. g(s)
20. g(s - t)
Answer:
Step-by-step explanation:
f(7) = 32
f(-9) = 32
f(s) = 32
f(s-t) = 32
g(7) = 10·7+4 = 74
g(-9) = 10(-9)+4 = -86
What is the value of p2 + r3, when p = 2 & r = 3?
answer is 13
I hope it helpful
Answer:
The value of p² + r³, when p = 2 & r = 3
(2)²+(3)³=4+27=31
31 is the right answer.Sara has 2 pounds of chicken. She uses 5 ounces of chicken while cooking. How can you determine the mass of chicken that she has left?
Answer: 27 ounces of chicken.
Step-by-step explanation:
Sara has 2 pounds of chicken.
She uses 5 ounces of chicken.
So now, she has:
(2 pounds - 5 ounces ) of chicken.
To perform this subtraction, we first need to write bot quantities in the same units.
First, we know that:
1 pound = 16 ounces.
Then we can rewrite 2 pounds, this is equal to 2 times 16 ounces.
2 pounds = 2*16 ounces = 32 ounces.
Then initially she has 32 ounces, and she uses 5 ounces.
Now she has:
(32 ounces - 5 ounces) = 27 ounces of chicken
Which of the following sets of possible side lengths forms a right triangle?
11, 60, and 61
6, 12, and 13
9, 40, and 45
12, 35, and 38
Answer:
Which of the following sets of possible side lengths forms a right triangle?
11, 60, and 61✓6, 12, and 13
9, 40, and 45
12, 35, and 38
Step-by-step explanation:
[tex] \sqrt{ {11}^{2} + {60}^{2} } \\ = \sqrt{121 + 3600} \\ = \sqrt{3721} \\ = \sqrt{ {61}^{2} } \\ = 61[/tex]
11, 60 and 61 is the right answer.If gas costs $1.95 per gallon, how many whole gallons of gas could you buy with $36.00? (Make sure to answer with a whole number.)
¾+(⅓÷⅙)-(-½)=( ) need help with this question
Answer:
3.25 or 3 1/4
Step-by-step explanation:
Remove the parentheses first: 3/4 + (1/3 / 1/6) - (-1/2)
1/3 / 1/6 turns into 1/3 * 6
Reduce the numbers:
3/4 + (1/3 * 6) + 1/2
cross multiplication, 6 divided by 3 = 2.
So the new equation is 3/4 + 2 + 1/2
Then you calculate.
3/4 + 2 + 1/2 = 13/4
13/4 reduced is 3 1/4 or 3.25
Complex Numbers I need help
Answer:
Answer is (4+3i)+(5-6i)=(9-3i)
Step-by-step explanation:
I hope it's helpful!
==============================================
Work Shown:
(4+3i) + (5-6i)
4+3i + 5-6i
(4+5) + (3i-6i)
9 + (3-6)i
9 + (-3)i
9 - 3i
As the steps above show, we treat the 'i' as a variable. So we could think of the expression as (4+3x)+(5-6x) and simplify to get 9-3x. Though we use ''i' instead of x.
PLEASE HELP FOR 20 POINTS, Yesterday, Chang planted 6 trees that were each 8 feet tall in his yard. Chang projects the trees to grow at the following annual rates over the next 5 years. Assume that x represents the amount of years from when Chang planted the trees. Which of the following equations represent the height of each of the trees in 5 years? Select all that apply.
Answer:
Its oka linden
Step-by-step explanation:
Just cause
Every day for a week, he counts how many times each player can leg press 350 pounds. The following week, he has each player sprint 40 yards every day. The tables shows the average number of leg-press repetitions and the average 40-yard dash time (in seconds) for seven randomly selected players. What is the equation of the line of best fit
Complete question :
A college football coach wants to know if the is a correlation between his players' leg strength and the time it takes for them to sprint 40 yards. he sets up the following test and records the data:
Every day for a week, he counts how many times each player can leg press 350 pounds. The following week, he has each player sprint 40 yards every day. The tables shows the average number of leg-press repetitions and the average 40-yard dash time (in seconds) for seven randomly selected players. What is the equation of the line of best fit? How many seconds should he expect a player to take to run 40 yards if that player can do 22 leg-press repetitions?
Leg Press (reps)|40-yard Dash (s)
15 |5.2
18 |6.3
8 |6.8
30 |8.2
26 |8.0
12 |5.3
21 |5.9
Answer:
ŷ = 0.1073X + 4.5365
6.9
Step-by-step explanation:
Leg Press (reps)X:
15
18
8
30
26
12
21
Y:
5.2
6.3
6.8
8.2
8.0
5.3
5.9
Using a regression calculator :
The equation of line of best fit is :
ŷ = 0.1073X + 4.5365
Slope or gradient = 0.1073
Intercept = 4.5365
X = independent or predictor variable (leg press)
Y = predicted variable (40 yard dash)
B)
X = 22
Y = 0.1073(22) + 4.5365
Y = 6.8971
Y = 6.9
In the equation y = mx + b, the "b" is the y-intercept
True
False
Answer:
False
Hope my answer helps you pls mark me as brainiest :)
There are 600 members of a sports club.
The ratio of men to women is 2:3
1/4 of the men are under 30 years old
20% of the women are under 30 years old
HOW MANY MEMBERS ARE OVER 30?
9514 1404 393
Answer:
468
Step-by-step explanation:
Men:
(3/4)(2/5)(600) = (6/20)(600) = 6(30) = 180 men over 30
Women:
(4/5)(3/5)(600) = (12/25)(600) = 48(6) = 288 women over 30
The total number of members over 30 is ...
180 +288 = 468 . . . members over 30
Which number will you read 'two-tenths'?
Answer: two-tenths as a fraction is 2/10, and as a decimal it's 0.2.
Step-by-step explanation: The "0" is the ones place and the "2" is the tenths place. There is a chart below.
What is 162,810.75 rounded to the nearest whole number?
Answer:
162,811
Step-by-step explanation:
Type using number words. (Remember to use a hyphen in your answer where needed.)
355
pls help math!!!!!!!!!!!!
Answer:
A) 1000/1 = x/2500 is the answer
An individual who has automobile insurance from a certain company is randomly selected. Let Y be the number of moving violations for which the individual was cited during the last 3 years. The pmf of Y is y 0 1 2 3 4 p(y) 0.50 0.20 0.15 0.10 0.05 Suppose an individual with Y violations incurs a surcharge of 100Y 2 . Calculate the expected amount of the surcharge
Answer:
1) The expected value of the number of moving violations for which the individual was cited during the last 3 years is 1
2) The expected amount of surcharges is $250
Step-by-step explanation:
Given that;
Y 0 1 2 3 4
p(y) 0.50 0.20 0.15 0.10 0.05
1)
Value of E(Y)
E(Y) = (0×0.50) + ( 1×0.20) + ( 2×0.15) + (3×0.10) + (4×0.05)
= 0 + 0.20 + 0.3 + 0.3 + 0.2
E(Y) = 1
Therefore, The expected value of the number of moving violations for which the individual was cited during the last 3 years is 1
b)
Suppose an individual with Y violations incurs a surcharge of $100Y² , the expected amount of the surcharge is given by,
E($100Y²) = 100E(Y)²
= 100∑Y²P(y)
= 100(0²×0.50) + ( 1²×0.20) + ( 2²×0.15) + (3²×0.10) + (4²×0.05)
= 100( 0 + 0.2 + 0.6 + 0.9 + 0.8 )
= 100(2.5)
= $250
Therefore; The expected amount of surcharges is $250
5 cards are drawn at random from a standard deck. Find the probability that all cards are face cards.
Answer:
99 / 324,870 or 3%
Step-by-step explanation:
there are 12 face cards out of a total of 52 cards
probability of 5 face cards = [tex]\frac{12}{52}[/tex] · [tex]\frac{11}{51}[/tex] · [tex]\frac{10}{50}[/tex] · [tex]\frac{9}{49}[/tex] · [tex]\frac{8}{48}[/tex]
The probability that all cards are face cards at the time when 5 cards are drawn at random from a standard deck should be [tex]99 / 324,870[/tex]
Calculation of the probability:Since 5 cards are drawn at random from a standard deck
Also, we know that
there are 12 face cards out of a total of 52 cards
So here the probability be like
[tex]= 12/52 \times 11/51 \times 10/50 \times 9/49 \times 8/48[/tex]
= [tex]99 / 324,870[/tex]
Hence, The probability that all cards are face cards at the time when 5 cards are drawn at random from a standard deck should be [tex]99 / 324,870[/tex]
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The area of rectangle RSTU is 36x2+25x−25. The length of the rectangle RSTU is 4x+5. Which expression describes the width of the rectangle RSTU?
Given:
The area of the rectangle RSTU = [tex]36x^2+25x-25[/tex]
Length of the rectangle RSTU = [tex]4x+5[/tex]
To find:
The width of the rectangle RSTU.
Step-by-step explanation:
We have,
[tex]36x^2+25x-25[/tex]
Splitting the middle term, we get
[tex]=36x^2+45x-20x-25[/tex]
[tex]=9x(4x+5)-5(4x+5)[/tex]
[tex]=(4x+5)(9x-5)[/tex]
We know that, the area of a rectangle is
[tex]Area=Length \times width[/tex]
Area of rectangle is product of (4x+5) and (9x-5).
Since (4x+5) is the length of the rectangle, therefore, (9x-5) is the width of the rectangle RSTU.
The population of a small town was 1200 people in 1998. In 2008 the population of that same town was recorded as 6,000. What was the percent of increase?
Answer:
The population had a 400% increase
2. Identify the Formula for finding the nth term of an Arithmetic Sequence, where A(n) is the nth term of an Arithmetic Sequence, is the first term, n is the term number and d is the common
difference
A(n) = 2 - 1 + (n - 1)d
A(n) = a + (n - 1)d
A(n) = a + (n)(d - 1)
O A(n) = a + (n + 1)d
Answer:
A(n) = a + (n - 1)d is the correct formula for an arithmetic sequence.
Step-by-step explanation:
Which value of the variable is a solution of the inequality t > -5
Answer:
-4 and any number above.