A new drug cures 65% of the patients who take it. If it is given to 14 patients, what is the probability that at least 12 will be cured?

Answers

Answer 1

Answer:

[tex]P(X \geq 13) = 0.021[/tex]

Step-by-step explanation:

From the question we are told that:

Probability of curing patients P(x)=0.65

Sample size n=14

Generally the Binomial equation is mathematically given by

[tex]P(X) =\frac{(n!)}{X!(n-X)!))} *p^X*(1-p)^(n-X)[/tex]

Generally the equation for Equation for at least 12 cured is mathematically given by

[tex]P(X \geq 13) = P(X = 13)+P(X = 14)[/tex]

For [tex]P(X = 13)[/tex]

[tex]P(X = 13) = (14!/(13!(14-13)!))*0.65^13*(1-0.65)^(14-13) \\\\P(X = 13)= 0.018116[/tex]

For [tex]P(X = 14)[/tex]

[tex]P(X = 14) = (14!/(14!(14-14)!))*0.65^14*(1-0.65)^(14-14) \\\\P(X = 14)= 0.00240318[/tex]

Therefore

[tex]P(X \geq 13) =P(X = 13)+P(X = 14)[/tex]

[tex]P(X \geq 13) = 0.018116+0.00240318[/tex]

[tex]P(X \geq 13) = 0.02051918[/tex]

[tex]P(X \geq 13) = 0.021[/tex]


Related Questions

please help asap!!!

Answers

Answer:

A. 0.13.

B. 0.15.

Step-by-step explanation:

For the first problem, subtract 0.87 from 1. You get 0.13.

For the second problem, add up 0.3 and 0.55 to get 0.85. Subtract this from 1 to get 0.15.

Hope this helps :)

how to solve scientific notation numbers

Answers

Look at the exponent and move the decimal that many places ( to the right for a positive number and to the left for a negative number)

Help me with this please?

Answers

It would be 40% is an apple at first, the peach would be 66%.

Anyone know how to solve this?

Answers

Answer:

[tex] \frac{16}{25} [/tex]

Step-by-step explanation:

[tex]( - \frac{4}{5})^{2} [/tex][tex] {( - 1)}^{2} \frac{ {4}^{2} }{ {5}^{2} }[/tex][tex]1 \frac{ {4}^{2} }{ {5}^{2} } [/tex][tex] \frac{ {4}^{2} }{ {5}^{2} } [/tex][tex] \frac{16}{25} [/tex]Hope it is helpful....

2. What is the solution to the equation..
5m − (m + 4) = 2?
f. -1/2
g. 1/2
h. 1
j. 3/2
k. 3

Answers

Answer:

J. 3/2

Step-by-step explanation:

Let's solve your equation step-by-step.

5m−(m+4)=2

Step 1: Simplify both sides of the equation.

5m−(m+4)=2

5m+−1(m+4)=2(Distribute the Negative Sign)

5m+−1m+(−1)(4)=2

5m+−m+−4=2

(5m+−m)+(−4)=2(Combine Like Terms)

4m+−4=2

4m−4=2

A cube of aluminum has a volume of 9cm) and weighs 81 g. What is its density?

Answers

Answer:

9 g/cm³

Step-by-step explanation:

density = mass/volume

d = 81/9

d = 9 g/cm³

One leg of a right triangle is 14 cm longand the hypoteruuse is long. What is the approximate length of the other leg?

Answers

Answer:

14 cm

Step-by-step explanation:

OLEASE HELP WILL MARK THE BRAINLIEST

Answers

$40.39
Im pretty sure this is correct

Someone help I need answers I’ll give brainliest and like the comment

Answers

Answer:

here u go

Step-by-step explanation:

5cm-

area: 25π

cir:10π

6cm:

area: 36π

cir: 12π

7cm:

area: 14π

cir: 49π

and the last one:

area:6π

cir:9π

Find the distance between each pair of points.

(7 1/2, -6) and (7 1/2, -2 1/2)

Answers

Answer:

7/2

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√(7 1/2 - 7 1/2)² + [-2 1/2 - (-6)]²

√(0)² + (7/2)²

√49/4

= 7/2

What is the difference?

52 – 13 =

29
39
41
65

Answers

Answer:

39

Step-by-step explanation:

TYagVvHhisjssbahuauaahaah

Does the graph represent a function?
Choose 1 answer:
Yes
No

Answers

Answer:

Yes, it does

Step-by-step explanation:

The x-values are not used more than one time but the y-values are so that means it is a function

please help!! I'm confused

Answers

It’s like 40 I do believe but ion rlly no like that fr

Find the domain of the function f left parenthesis x right parenthesis equals cube root of 5 x plus 25 end root

Answers

Answer:

Domain is (-∞, ∞)

Step-by-step explanation:

Given function is [tex]\sqrt[3]{5x+25}[/tex]

Please remember, for any cube root function the domain is all real numbers, because the cube root of any real number is a real number.

So, domain is all real numbers.

We can write it in interval notation as (-∞,∞).

Write the equation of the line that is parallel to the line y= -2x+3 and goes through the point (3, -6).​

Answers

Answer:

y=-2

Step-by-step explanation:

because it's parallel --> a=-2

therefore we have y=-2x+b

the line goes through the point (3,-6) --> (-2).3+b=-6 --> b=0

What is 3/4 as a percentage?

Answers

Answer:

75%

Hope this helps!!!

Step-by-step explanation:

Answer:

0.75

Step-by-step explanation:

Imagine four quarters, 1 quarter equals 25 cents. So adding 2 more quarters, 3 total, would equal 75 cents. 25 + 25 + 25 = 75. Your answer is 0.75! Hope this helps!

Edit: MY BAD!! I THOUGHT YOU SAID DECIMAL, IGNORE ME!!!

Last one for this :)

Answers

Answer:

2/21 :)

Step-by-step explanation:

Answer:

2/21

Step-by-step explanation:

Pls someone help i have conferences tomorrow and im failing

Answers

Answer:

y = 2 that sign means equal to so its literally another way to write =

so to graph this inequality you graph 2 on the y axis thats it

Step-by-step explanation:

13. The manager of a landscaping company collected data for an entire summer. Before each job he completely filled the gasoline tank for his mower. After each job, he recorded the square footage of the lawn that was mowed as well as how much gasoline remained in the tank. As expected, larger lawns left him with very little gasoline in the tank. At the end of the season he displayed the data in a scatterplot and saw that the relationship between lawn size and gas remaining was roughly linear. The value of r? was 0.85.Find and interpret the value of the correlation between the lawn size and the amount of gasoline remaining in the tank at the end of the job.​

Answers

Answer:

Before you get started, take this readiness quiz.

Write as an inequality: x is at least 30.

If you missed this problem, review (Figure).

Solve 8-3y<41.

If you missed this problem, review

Answer:

(D) r=−0.92. The linear relationship between lawn size and gas remaining is strong and negative.

Step-by-step explanation:

The temp is -5 deg Celine, if the temp rises by by 17 deg, what is the new temp? Please show work

Answers

This question deals with integers which are represented by a number scale where -1 is considered higher than -27, and 1 is lower than 27. The more higher the negative integer (negative number represented by a (-)) gets, the lower the value of the number.
-5 is not the same as 5.
The term rising means adding or increasing
-5 + 17 is 12
This can also be written at 17-5, since we are only rearranging the placement of both numbers.
If you have anymore questions feel free to ask! I reply as soon as possible! I hope this helps, and GOODLUCK!

I’ve tried so many things but I can’t find the Answer

Answers

Answer:

[tex]let \: that \: be \: \: x \\ 20\% \: of \: x \: is \: 6 \\ \frac{20}{100} \times x = 6 \\ 20x = 600 \\ x = 30[/tex]

30

☞EXPLANATION☜

20 percent (calculated percentage %) of what number equals 6? Answer: 30.

Quadrilateral CDEF is inscribed in circle A. Which statements complete the proof to show that ∠CFE and ∠CDE are supplementary?


Quadrilateral CDEF is inscribed in circle A, so mARC CDE + mARC CFE= 360°. ∠CFE and ∠CDE are inscribed angles, which means that their measures are _________________. So, _________________. Using the substitution property of equality, 2 ⋅ m∠CFE + 2 ⋅ m∠CDE = 360°. Using the division property of equality, divide both sides of the equation by 2, resulting in m∠CFE + m∠CDE = 180°. Therefore, ∠CFE and ∠CDE are supplementary.

Answers

Answer:

The statements that complete the proofs are;

First statement

One half the measure of their intercepted arcs

Second statement

mARC CDE = 2·m∠CFE and mARC CFE = 2·m∠CDE

Step-by-step explanation:

The two column proof that ∠CFE and ∠CDE are supplementary is presented as follows;

Statement  [tex]{}[/tex]                                                            Reason

Quadrilateral CDEF is inscribed is circle A  [tex]{}[/tex]       Given

[tex]m\widehat{CDE}[/tex] + [tex]m\widehat{CFE}[/tex] = 360°  [tex]{}[/tex]                                 Measure of angle round a circle

∠CFE and ∠CDE are inscribed angles   [tex]{}[/tex]             Given

∠CFE  + ∠CDE = 1/2 × ([tex]m\widehat{CDE}[/tex] + [tex]m\widehat{CFE}[/tex])  [tex]{}[/tex]   Inscribed angles are (i) one half the measure of their intercepted arcs

2 × (∠CFE  + ∠CDE) = ([tex]m\widehat{CDE}[/tex] + [tex]m\widehat{CFE}[/tex])

So, (ii) [tex]m\widehat{CDE}[/tex] = 2 × m∠CFE and [tex]m\widehat{CFE}[/tex] = 2 × m∠CDE From the inscribed angle theorem above (See attached drawing)

2·m∠CFE + 2·m∠CDE = 360°  [tex]{}[/tex]    Using substitution property of equality

(2·m∠CFE + 2·m∠CDE)/2 = 360°/2 → m∠CFE + m∠CDE) = 180° [tex]{}[/tex]                Dividing both sides by 2

m∠CFE and m∠CDE) are supplementary  [tex]{}[/tex]  Angles that sum up to 180°

The statements that complete the proofs are;

(i) One half the measure of their intercepted arcs

(ii) mARC CDE = 2·m∠CFE and mARC CFE = 2·m∠CDE

Answer:

1/2 the measure of their intercepted arcs; m arc CDE= 2 ⋅ m∠CFE and arc CFE= 2 ⋅ m∠CDE (or C).

Step-by-step explanation:

I just took the test and got this right :)

A collection of dimes and nickels is worth $4.45 they are 50 coins in total find how many of each there are

Answers

Your answer is 222.5

Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.

x² +3= -4x

O 1,3
O -1-3
O 1-3
O -1,3

Answers

Answer:

-1 -3

Step-by-step explanation:

I need help with this

Answers

Answer:

We add up all the numbers:

84 + 72 + 96 + 97 + 75 + 83 + 81 = 588

Since there are 7 numbers we divide by 7

588 divided by 7 = 84 is your mean

Step-by-step explanation:

How to find mean:

Add up the numbers, divide by the many numbers there are and thats how you find your mean.

A rectangular swimming pool has a volume of 16,320 cubic feet, a depth of 8 feet, and a length of 85 feet. What is the width of the swimming pool?

a) 24 ft
b) 48 ft
c) 192 ft
d) 2040 ft

Answers

a.) 24 ft

Explanation:
The formula for the volume of a rectangular prism is length x width x height.

To find the missing width, follow this formula:
Volume divided by ( heigth x length)

In this case, it will be:
16,320 divided by ( 8 x 85 ) = 24

MARK ME BRAINLIEST TYSM! Have a nice day/evening!

amogus lit haha funny

Answers

The answer would be x=25. Here is a picture of my work. Hope you can see it well and hope this helps you:)

Kurt runs diagonally across a rectangular field that has a length of 30 m and a width of 40 m as shown in the figure. What is the distance
that Kurt runs? Place the value in the empty box below.
Figure is not drawn to scale.
DRAG & DROP THE ANSWER
50 m
30 m
40 m
30 m
V
10 m
40 m
y =

Answers

Answer: 50

Step-by-step explanation:

what is true about the expression 5 times 1/4
A.It represents the product of a rational and irrational number and is equivalent to a rational number.
B.It represents the product of a rational and irrational number and is equivalent to an irrational number.
C.It represents the product of two rational numbers and is equivalent to a rational number.
D.It represents the product of two rational numbers and is equivalent to an irrational number.

Answers

Answer:

C

Step-by-step explanation:

5 is rational

1/4 is rational

the product of the two is 5/4 which is also rational

what does this equal4x-9+2(12x-8)=31

Answers

Answer:

x = 2

Step-by-step explanation:

x = 2 im to azy to put the steps sorry

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