Suppose that 90% of all dialysis patients will survive for at least 5 years. In a simple random sample of 100 new dialysis patients, what is the probability that the proportion surviving for at least five years will exceed 80%, rounded to 5 decimal places

Answers

Answer 1

Answer:

The  probability   [tex]P(\^ p > 0.80) = 0.99957[/tex]

Step-by-step explanation:

From the question we are told that

     The population proportion is  p  =  0.90

     The sample size is  n  =  30

  Generally mean of the sampling distribution is  [tex]\mu_{\= x } = p = 0.90[/tex]

Generally the standard deviation is mathematically represented as

      [tex]\sigma = \sqrt{\frac{p( -p )}{n} }[/tex]

=>    [tex]\sigma = \sqrt{\frac{0.90( 1 -0.90 )}{100} }[/tex]

=>    [tex]\sigma = 0.03[/tex]

Generally the he probability that the proportion surviving for at least five years will exceed 80%, rounded to 5 decimal places is mathematically represented as

       [tex]P(\^ p > 0.80) = P(\frac{ \^ p - p }{ \sigma } > \frac{0.80 - 0.90}{0.03} )[/tex]

Generally [tex]\frac{\^p - p}{\sigma} = Z(The standardized \ value \ of \^ p)[/tex]

So  

    [tex]P(\^ p > 0.80) = P(Z > -3.33 )[/tex]

From the z-table [tex]P(Z > -3.33 ) = 0.99957[/tex]

So

    [tex]P(\^ p > 0.80) = 0.99957[/tex]


Related Questions

in a geometrical progression,the product of the 2nd and 4th term is double the the 5th terms. and the sum of the first four terms is 80 find the G.p​

Answers

The 15th term of the geometric progression is 9,565,94.

What is the 15th term of the geometric progression?

A geometric progression can be expressed as an = a1rn-1 for some a1 and r. You are told that a2 * a4 = 2a5 and a1 + a2 + a3 + a4 = 80.

From the first equation, a2 = a1 r, a4 = a1 r3, and a5 = a1 r4. This tells us that

a1 r a1 r3 = 2 a1 r4

The r's and one a1 cancel leaving a1 = 2.

Now, plugging similarly into a1 + a2 + a3 + a4 = 80,

2 + 2r + 2r2 + 2r3 = 80

r3 + r2 + r + 1 = 40

In general, the easiest way to solve a cubic is by graphing, but here you know the answer will be a small integer, so just try a few. If we try r=3, we get 27 + 9 + 3 + 1 = 40 so r = 3.

So the geometric sequence here is an = 2 3n-1. The 15th term is then:

a15 = 2*3^14

a15 = 9,565,938.

Full question:

A G.P, the product of the 2nd and the 4th term is double the 5th term, and the sum of the first 4th terms is 80. find the 15th term.

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Helppppp Meeeeee !!!!!!!!!

Answers

Answer:

a) draw the triangle using the graph points

b) move the triangle 3 points to the left and 1 point down

c) translation

d) draw this shape

e) write down the coordinates

Step-by-step explanation:

The x-3 in translation tells you to move 3 squares to the left along the x axis in translation and y-1 tells you to move down one on the y axis.

What is the value of 120?

Answers

It would be -1/2 I think
the answer is -1/2. have a good day!

Please answer this question

Answers

Answer:

she is running at a constant speed

Step-by-step explanation:

the bar is still because she isnt going faster or slowing down she is constant

Answer:

D: She is at a constant speed.

Step-by-step explanation:

she is not acceleraring or decelerating, so her speed is constant

(x - 3)? > -3(x + 2) for x = 3

Answers

Answer:

The Left side (0) is greater then the right side (-15)

Step-by-step explanation:

(x - 3) is greater than -3(3+2)

True or False: These two equations are equivalent
5x + 18 = 32
18 = 80

Answers

I think it would be true ?

0.6×100 is equal to​

Answers

Answer:

60

Step-by-step explanation:

.6 x 100 = 60

if 60% people in a city like cricket 30% like football and the remaining like other games
. 50 . ​

Answers

Answer:

is that supposed to be a question

What algebraic expression could represent the average of 2x, x + 3, and 6x?

Answers

Answer:

3x+1

Step-by-step explanation:

(2x+x+3+6x)/3

9x+3/3

3x+1

The final result is a simplified algebraic expression 3x + 1 that represents the average of 2x, x + 3, and 6x.

What is the expression?

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

The average of 2x, x + 3, and 6x can be represented by the algebraic expression (2x + (x + 3) + 6x)/3.

This expression takes the sum of 2x, x + 3, and 6x, and then divides that sum by 3, which is the number of terms being averaged.

Alternatively, the average can be represented by (2x + x + 6x + 3) / 3 = (9x + 3) / 3 = 3x + 1.

In either case, the final result is a simplified algebraic expression that represents the average of 2x, x + 3, and 6x.

Learn more about Expressions here :

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Robert conducts an experiment to measure the temperature of a solution. Due to a defect in the apparatus, the temperature of the solution measured in each trial is 5°F more or less than the theoretical temperature of 11°F of the solution.

The following absolute value equation can be used to determine the temperature of the solution measured by Robert:

|x − 11| = 5.

Here, x represents the measured temperature of the solution in degrees Fahrenheit.

Based on the above information, what is the temperature of the solution as measured by Robert?

A.
The temperature of the solution measured by Robert is 5°F or 6°F.
B.
The temperature of the solution measured by Robert is -6°F or 6°F.
C.
The temperature of the solution measured by Robert is -6°F or -16°F.
D.
The temperature of the solution measured by Robert is 16°F or 6°F.

Answers

the answer to this question is d

3x + 9 = 2x + 5
One Solution
No Solution
All real numbers

Answers

One solution (x= -4)
The answer is One solution x=-4

I need help with number 1 I don’t understand I’ll give BRAINLIEST to whoever helps me the best

Answers

B. 200, rounded answer since it was 199.9

Answer:

The answer is B.200

Step-by-step explanation:

145.93×1.37=199.9

We need to multiply because the second team takes the times as longer than the first team. The answer is 200 because we need to roundup 199.9 into 200

Hope it helps :)

Colin predicted whether he got answers right or wrong in his 50 question exam. He identified the 8 questions he thought he got wrong. It turns out that Colin got 5 questions right that he thought he got wrong. Colin also got a total score of 45 out of 50 in the test. What is the percentage accuracy he had with predicting his scores?

Answers

Total questions, T = 50.

Colin thought 8 questions were right.

Colin got 5 questions right that he thought he got wrong.

Total score, s = 45.

So, actual number of questions which are wrong are 5.

Score according to him = 50 - 8 = 42.

Now, we know percentage accuracy is given by :

[tex]\% =100- \dfrac{|Actual\ value-Theoretical\ value|}{Actual\ Vlaue}\times 100\\\\\%=100-\dfrac{|45-42|}{42}\times 100\\\\\%=100-7.14 \%\\\\\%=92.86\%[/tex]

Therefore, percentage accuracy he had with predicting his scores is 92.86%.

Hence, this is the required solution.

Need help filling out the chart for #3

Answers

Answer:

Slope intercept equation= y2-y1 over x2-x1

When to use= You know the slope and any point

A pack of gum costs $2.95. If it holds 12 sticks of gum, about how much would one individual stick of gum cost?
A $0.05
$4.00
$0.40
D $0.25
E $3.60

Answers

Answer:

$0. 25

Step-by-step explanation:

2. 95 ÷ 12 = 0.24583333

Round the number and you would get

0. 25

Answer:

D. $0.25

Step-by-step explanation:

the whole pack costs $2.95 and there are 12 sticks, so you divide the total cost ($2.95) by the amount of sticks (12) and get the answer $0.2458, or $0.25 rounded up. :)

Which word best describes the element in box number 2?
a Brittle
b. Gas
С Semiconductor
d. Shiny

Answers

the correct answer is c. hope this helped

true or false: an cubic function may have 3 irrational zeros

Answers

Answer: True

The key word here is "may" meaning that we could easily have 3 rational roots as well. An example of a cubic having 3 irrational roots would be

(x-1)(x-2)(x-3) = x³ - 6x² + 11x - 6

This has the rational roots x = 1, x = 2, x = 3.

However, we could easily replace 1,2,3 with any irrational numbers we want. So that's why the statement "a cubic has three irrational roots" is sometimes true.

In some cases, a cubic may only have 1 real root and the other 2 roots are imaginary.

which of these is correct? will give brainliest C:

Answers

Answer:

$7.50/lb    answer A is correct

Step-by-step explanation:

Find the unit cost:  $ per pound:

 Calculate

      $3.00

--------------------

   (2/5) lb

It's slightly easier to calculate the equivalent

 $3.00

------------- = $7.50/lb    answer A is correct

 0.4 lb

Answer: D. $1.20 per pound

Step-by-step explanation:

Because 2/5= 0.4 in a decimal form.

If you multiply 0.4 times 3= 1.2 just that in D they are adding a zero (0).

1.20= 1.2

ILL MARK BRAINLIST IF YOU SHOW YOUR WORK and get it right ....... Simplify 42/70

Answers

Find the GCF(Greatest Common Factor) of 42 and 70: 14

Divide numerator and denominator by the GCF.

42 ÷ 14 = 3

70 ÷ 14 = 5

3/5

Answer:

3/5

Step-by-step explanation:

Think of the GCF of 42 and 70

which is 14 divide by 14 which you will get 3/5

(Alternate method)

If you don't know how to do that I will try to divide by the prime numbers like: 2,3,5,7 etc

until you get to a answer that can't be divided anymore

Hope this helps!

there are 49 mangoes and 63 avocado's to be sold as part of the fair is school. the organizer wants the same number of items of fruits in each bag. mangoes and avocado's should not be mixed. what is the greatest number of each fruit that can be placed in a bag? A) 7 B) 8 C) 9 D) 10​

Answers

Answer:

9

Step-by-step explanation:

What else would need to be congruent to show that ABC is congruent to DEF by ASA?​

Answers

Answer:

D

Step-by-step explanation:

Angle Side Angle

Which number is rational, an integer, and a real number?
A. 1.5
B.
C. There is no such nurnber.
D. -5

Answers

Answer:
1.5

Explanation:

Which inequalities are true? Select the four correct answers


Will mark Brainiest

Answers

Answer:

see below

Step-by-step explanation:

1.    0 < √8 = true

2.   √8 < 3 = true

3.   √8 > √7 = true

4.   √8 < 2 = false

5.   √8 > 8 = false

6.    1 < √8 = true

Inequalities help us to compare two unequal expressions. The inequalities that are true are 1, 2, 3 and 6.

What are inequalities?

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

The value of √8 is equal to 2.828427, therefore, the inequalities that are true are,

0 < √8√8 < 3√8 > √71 < √8

Hence, the inequalities that are true are 1, 2, 3 and 6.

Learn more about Inequality:

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Answers

Answer:

14 miles

Step-by-step explanation:

make it into an equation 1.50x+3=24 then solve

Putang ina mo gago ka

Give another name for line JK.

Answers

Answer:

indecsaty

Step-by-step explanation:

the indecsaty of the line more known as a slope is the other name

ASAP PLZ HELP
A car traveling 65 kilometers per hour travels 195 kilometers. How long did it take the care to travel that distance at that speed?

Answers

Answer:hope it helps,

Step-by-step explanation:

How can you tell when to use a discrete graph as opposed to using a continuous graph? Give an example of each.

Answers

Answer:

Continuous graphs have all real numbers

Discrete graphs have whole numbers

Step-by-step explanation:

Find the arc length

Answers

Answer:

Step-by-step explanation:

Arc length = 1/4 * circumference

Circumference = 2*pi*r = 2*pi*10 = 20pi

Arc length = 1/4 * 20pi = 5pi

Plz help!!! Will mark brainliest!!!!!!

Answers

The correct answer is 155

Which values are outliers?

5.8, 6.1, 4.9, 10.9, 0.8, 6.1, 7.4, 10.2, 1.1, 5.2, 5.9

Answers

0.8 Outlier

1.1 Outlier

10.2 Not Outlier

10.9 Not Outlier  

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