Answer:
0.0367 = 3.67% probability that exactly 6 patients will die
Step-by-step explanation:
The patients are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question, we have that:
20 patients means that [tex]N = 20[/tex]
Sample of 8 means that [tex]n = 8[/tex]
9 have the heart problem, so [tex]k = 9[/tex]
What is the probability that exactly 6 patients will die?
This is P(X = 6).
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 6) = h(6,20,8,9) = \frac{C_{9,6}*C_{11,2}}{C_{20,8}} = 0.0367[/tex]
0.0367 = 3.67% probability that exactly 6 patients will die
Two dice are tossed. Find the probability of getting the sum of the
dice equal to 16. (Hint: Draw a tree diagram of the possibilities of
two tosses of a die, and then find the sum of the numbers on
each branch.)
Answer:
Step-by-step explanation:
If you are talking about a die with 6 faces, then 16 isn't possible. 12 is the highest possible number.
If you are talking about some other kind of die, you have to specify it.
I'm going to assume you made a mistake and meant 6.
There are 5 ways to get six
3 - 3
4 - 2
2 - 4
5 - 1
1 - 5
There are 36 ways of throwing 2 dice.
So the probability = 5/36 = 0.1389
If you really did mean 16 then the probability = 0
Can someone pls help me?
Answer:
26
Step-by-step explanation:
a complementary angle measures 90 degrees. minus the 64 would be 26
Assume that y varies inversely as x. If, y, is 2.4 when x = 5, which is an equation that relates x and y?
I will give Brainiest
Your cousin is building a sand box for his daughter
How much sand will he need to fill the box
how much paint does he need for the box
Answer:
volume of box(v)=l×b×h
=1×6×4
=24ft^3
so it required 24volume sand to fill the box
Trend lines
The scatterplot below shows several data
points and an approximate trend line for
the data.
у
350
300
250
200
150
100
SO
D 200 400 600
1.
Which is the best estimate of the value
of x that corresponds to the y value of
325? (8.18, 8.1C, 8.1E, 8.1F)
A 175
B 700
C 625
D 125
Education reform is one of the most hotly debated subjects on both state and national policymakers’ list of socioeconomic topics. Consider a linear regression model that relates school expenditures and family background to student performance in Massachusetts using 224 school districts. The response variable is the mean score on the MCAS (Massachusetts Comprehensive Assessment System) exam given to 10th graders. Four predictor variables are used: (1) STR is the student-to-teacher ratio in %, (2) TSAL is the average teacher’s salary in $1,000s, (3) INC is the median household income in $1,000s, and (4) SGL is the percentage of single-parent households. A portion of the data is shown in the accompanying table.
Score STR(%) TSAL(in $1000) INC(in $1000) SGL(%)
227.0 19.00 44.01 48.89 4.70
230.67 17.90 40.17 43.91 4.60
. . . . .
. . . . .
230.67 19.20 44.79 47.64 5.10
Required:
a. For each explanatory variable, discuss whether it is likely to have a positive or negative causal effect on Score.
b. Find the sample regression equation. Are the signs of the slope coefficients as expected?
c. What is the predicted score if STR = 18, TSAL = 50, INC = 60, SGL = 5?
d. What is the predicted score if everything else is the same as in part(c) except INC = 80?
Answer:
A:
STR= -
TSAL= +
INC=+
SGL=-
B:
231.89 - .50 - .02 + .29 -.88
B2:
STR=Y
TSAL=N
INC=Y
SGL=Y
C:
234.89
D:
240.69
Step-by-step explanation:
A boat heads in the direction N 78° E. The speed of the boat relative to the water is 21 mi/h. The water is flowing directly south. It
is observed that the true direction of the boat is directly east. (Assume that the i vector points east, and the j vector points north.)
(a) Express the velocity of the boat relative to the water as a vector in component form. (Round your answer to one decimal
place.)
(20.5, 4.4)
Answer:
it is the vector
Step-by-step explanation:
Fine the volume please
Answer:
212 m²
Step-by-step explanation:
4 x 4 x 5 = 80
6+6+50+30+40
Which graphs are proportional?
A.
B.
C.
D.
Answer: Hello, There! your Answer is Below
C And D Are your Answer
Step-by-step explanation:
Hope this Helps you !!!
Have a great day!!!
Please help please please ASAP please please help please
Answer:
true
Step-by-step explanation:
the total surface area of a solid is the sum of all faces both the bottom (base) and the top
Rectangle QRST is dilated with the origin as the center of dilation to create rectangle Q'R'S'T'.
Which rule represents the dial toon applied to rectangle QRST to create triangle QRST
Answer:
Rule: dilation about the origin by a scale factor of 2
Step-by-step explanation:
Given
See attachment for QRST and Q'R'S'T
Required
The dilation rule
First, we calculate the scale factor (k)
From the attachment, we have:
[tex]QR = 4[/tex]
[tex]Q'R' = 8[/tex]
k, is then calculated as:
[tex]k = \frac{Q'R'}{QR}[/tex]
[tex]k = \frac{8}{4}[/tex]
[tex]k =2[/tex]
Hence, QRST is dilated by a factor of 2
The function f (t) = 12(1 +0.03) can be used to determine the population, in thousands of a town t years
since 1955. According to the function, what was the population of the town in 1955 and what was the percent
increase in population from year to year?
Enter a number in each box to correctly complete the sentence
The population of the town in 1955 was
people, and the percent increase in
population from year to year was
f= the original amount of people, a steady growth throughout the years
t=time
In 1955 the population was 12 thousand. Compared to the current population of 12.36 thousand, the population then was roughly 77%.
A function assigns the values. The population of the town in 1955 was 12 thousand people, and the percent increase in population from year to year was 3%.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The function that gives the population of the town is given, therefore, the following can be written,
Since the year 1955 the value of t=0. Therefore, The population of the town in 1955 was 12 thousand.
The percentage increase in population from year to year is 3%.
Hence, The population of the town in 1955 was 12 thousand people, and the percent increase in population from year to year was 3%.
Learn more about Function:
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Whatever answer this question first gets a thanks and 14 points Please answer quickly ✌
Answer:
5) x = 25
6) x = 48
Step-by-step explanation:
5)
65 + x = 90
65 - 65 + x = 90 - 65
x = 25
--------------------------------------
6)
A complementary angle is 90 degrees.
42 + x = 90
42 - 42 + x = 90 - 42
x = 48
Find m∠D
m∠D=
greatly appreciate if done asap:)
5. Simplify
(7x2+ 8) - (x2 - 2)
Answer:
[tex](7 \times 2 + 8) - ( {x}^{2} - 2) \\ (14 + 8) - ( {x}^{2} - 2) \\ 14 + 8 - {x}^{2} + 2 \\ 22 + {x}^{2} + 2 \\ 24 + {x}^{2} [/tex]
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
please answer fast!!
Answer:
x=70
Step-by-step explanation:
[tex]2x + 1 = 141 \\ 2x = 140 \\ x = 70[/tex]
Answer:
x=70
Step-by-step explanation:
I hope i was right have a good day!!
The origin is a point anywhere along the x-axis. True or False
Answer:
False
Step-by-step explanation:
The origin is at 0 on the x-axis, and 0 on the y-axis. Hence, (0,0) lies on both the axis.
hope this helps and is right. p.s. i really need brainliest :)
if my answer is wrong then i am incredibly sorry!
The statement "The origin is a point anywhere along the x-axis" is False.
What is Origin?Origin is referred to as the first point or the starting point from which we begin our calculations or measurements in mathematics, particularly in the subject of coordinate geometry. The 0 on a ruler is the point at which we begin taking measurements; as a result, it is referred regarded as the scale's origin.
As, The intersection of the x and y axes in a coordinate plane is where the origin is located.
Coordinates can be used to name any point on the coordinate plane.
The coordinates are where the origin is ( 0, 0 ).
So, the x- coordinate is 0 and y- coordinates is 0.
Hence, the given statement is False.
Learn more about Origin here:
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Help me !!!
Please I really need it
Answer:
i don't know
Step-by-step explanation:
how to calculate tax rebate
JUST THE SECOND ONE EASY PLS ASAP
Answer:
51
Step-by-step explanation:
Use an online calculator
Find the measure of arc HJ.
Answer:
98 degrees
Step-by-step explanation:
HJ = (5x - 7)
Because it's a full circle:
61 + 34 + (5x - 7) + (9x - 22) = 360
95 + (14x - 29) = 360
14x = 360 - 95 + 29 = 294
x = 21
HJ = 5x - 7 = 5 * 21 - 7 = 105 - 7 = 98
A bag contains 3 red balls and 1 blue ball. A second bag contains 1 red ball and 1 blue ball. A ball is randomly picked from each bag and is then placed in the other bag. What is the expected number of red balls in the first bag? (mean or expected value)
Answer:
"2.82" seems to be the correct solution.
Step-by-step explanation:
As we know,
A bag (Bag A) contains,
Red balls = 3
Blue ball = 1
A second bag (Bag B) contains,
Red balls = 1
Blue ball = 1
Now,
⇒ P(Bag A, red ball) = [tex]P(A)\times P(r)\times P(r)[/tex]
On substituting the values, we get
⇒ = [tex]\frac{1}{2}\times \frac{3}{4}\times \frac{2}{3}[/tex]
⇒ = [tex]\frac{1}{4}[/tex]
Similarly,
Probability of second bag will be:
⇒ P(Bag B) = [tex]\frac{1}{2}[/tex]
hence,
In the first bag (Bag A), the expected number of red balls will be:
⇒ [tex]E(n)=\Sigma P(n)\times n[/tex]
On substituting the values, we get
⇒ [tex]=3 (\frac{1}{4})+2(\frac{1}{8} )+4(\frac{1}{24} )+3(\frac{1}{12} )+3(\frac{4}{20} )+4(\frac{1}{20} )+2(\frac{3}{20} )+\frac{2}{20}[/tex]
⇒ [tex]= \frac{169}{60}[/tex]
⇒ [tex]=2.82[/tex]
Pencils 6 18 Erasers 2 will mark brainlest
Answer:
this is your answer as it lies in a same ratio..
The relationship below is proportional true or false
Answer:
false.........
Step-by-step explanation:
......
What’s the correct answer for this?
Answer:
Step-by-step explanation: A
Answer:
A = 2
B= 2
C= -6
Step-by-step explanation:
1. 2x³ - 8x² -24x -Factor
2. 2x (x² - 4x - 12) - Factor
3. 2x (x - 6) (x + 2)
ax (x + b) (x + c)
I need help solve this !! Pls help pls not links ;)
Answer:
A / D / E
Step-by-step explanation:
f (1) = 1
f(2) = 5
f(3) = 9
Help help help help help
what factors determine the amount of interest earned on a fixed principal
Answer:
The interest rate and the number of compounding periods best describe the factors that determine the amount of interest because they encompass the ideas of time and yield.
Step-by-step explanation:
Hope this helps!!!
In a classroom of 24 students, five-eighths of the students brought their lunch to school. How many of the students in the classroom does this represent?
(Explain how you got your answer please)
(1) 3
(2) 5
(3) 10
(4) 15
(5) 20
Answer:In my opinion 10 is the answer
hope it helps you