An experimental drug has been shown to be 75% effective in eliminating symptoms of allergies in animal studies. A small human study involving six participants is conducted. What is the probability that the drug is effective on half of the participants?

Answers

Answer 1

Answer:

[tex]P(x=3) = 0.1318[/tex]

Step-by-step explanation:

The question illustrates a binomial distribution and the given parameters are:

Given

[tex]n = 6[/tex] -- sample size

[tex]p = 0.75[/tex] --- probability of success

[tex]r = 3[/tex] --- half of the participant

Using the binomial probability formula, we have:

[tex]P_x = ^nC_xp^x(1-p)^{n-x}[/tex]

For x = 3, the probability is:

[tex]P(x=3) = ^6C_3*0.75^3 * (1-0.75)^{6-3}[/tex]

[tex]P(x=3) = 20*0.75^3 * 0.25^3[/tex]

[tex]P(x=3) = 0.1318[/tex]


Related Questions

Nathan buys 8 bottles of iced tea at the grocery store. He has coupons for $0.35 off the regular price of each bottle. After using the coupons, the total cost of the drinks is $7.20.




Which equation can be used to find the regular price, p, of each bottle of iced tea?

Answers

Answer:

$1.25

Step-by-step explanation:

0.35 x 8 = 2.80

7.20 + 2.80 = 10

10 divided by 8 = 1.25

Thank you :)

The equation that can be used to determine the regular price of iced tea is p  = 1/8($7.20 - $2.80).

Description of coupons

Coupons reduce the price of an item. An item becomes cheaper when coupons are used. Thus, Nathan would buy the iced teas at a cheaper price as a result of the coupons.

Equation that represents the regular price of the iced tea.

Discounted price = regular price - discount

$7.20 = p - ($0.35 x8)

$7.20 = p - $2.80

p  = $7.20 - $2.80

Price of each bottle = p = 1/8( $7.20 - $2.80)

To learn more about how to calculate discounts, please check: https://brainly.com/question/26061308

What is the value of y? y = Find the following angle measures. mAngleJKM = ° mAngleMKL = °

And are we all struggling in geometry and super stressed out and behind or is it just me

Answers

Answer:

What is the value of y?

y = ✔ 10

mAngleJKM = ✔ 106°

mAngleMKL =  ✔ 74°

Step-by-step explanation:

Answer:

1: 10  2: 106  3: 74

Step-by-step explanation:

Nabil Francisco's tips from working at the hair salon were $4.50, $2.00, $3.50, $5,$8.00, and $4.50. What was his average tip?​

Answers

Answer:

$4.58

Step-by-step explanation:

Add all of your numbers up.

$27.50

Divide by 6

4.58 is the average.

i hope this helps, good luck :)

A survey asked respondents whether they prefer grape or orange soda, and whether they prefer soda with sugar or sweetener. The results of the survey are shown in the two-way frequency table. Grape soda Orange soda Sugar 0.36 0.42 Sweetener 0.13 0.09 What percent of the respondents prefer orange soda? Enter your answer in the box. %

Answers

Answer:

what it is language

Step-by-step explanation:

Answer:

51%

Step-by-step explanation:

the answer is the answer because it's the answer (ФДФ)

Complete the table to show an equivalent ratio where the total amount is 100 grams.

Answers

Answer:32

Step-by-step explanation:

i did it, just multiply by 4

The percent of 32% of her daily amount of fiber, she has at breakfast.

What is ratio?

The numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.

Given:

Keesha keeps track of the fiber she eats to make sure she gets enough each day.

Her breakfast contains 8 grams of fiber, and her recommended daily amount is 25 grams per day.

Keesha wants to know what percent of her daily amount of fiber she has at breakfast.

The table to show an equivalent ratio where the total amount is 100 grams.

Let n be the required value.

That means,

8/25 = n/100

n = 800/25

n = 32

Therefore, her daily amount of fiber is 32%.

To learn more about the ratio;

https://brainly.com/question/13419413

#SPJ2

in fractions we have to multiply 25 to get a hundred what do we do ​

Answers

Answer:

muliply 25 by 4

Step-by-step explanation:

25×4 =100

Answer:

*4

X 4

times it by 4

Step by step explanation:

25 + 25 + 25 + 25 = 100

therefore you added 25 four times so your answer is X by 4

PLZ HELP
Find h
H
(6x - 1)
125
F G
(5x + 16)

Answers

Answer:

H

(6x - 1)

125

F G

(5x + 16)

Step-by-step explanation:

b=3(3,1) find the equation

Answers

Answer:

Are you asking, given b = 3, write an equation that passes through the point (3,1)?

Help asap, I will give brainliest.

Answers

Answer:

-3 ?? i think this is correct

Step-by-step explanation:

i did 3x-1

Megan earns $8 per hour babysitting write and solve an inequality that can be used to find how many hours she must work in a week to earn at least $120 interpret the solution

Answers

8x >/= 120
x >/= 15
She must work 15 hours or more to earn at least $120

Does anyone have the link to this or have the pages please help

Answers

Answer:

I personally don't, but if you search up graph helper you could answer all of them. Hope you find the answer.

Step-by-step explanation:

Use the app Socratic, it’ll check the internet for similar/same sheets.

the equation y= 40x models the relationships between the indian rupee (y) and the us dollar(x).

Answers

Answer:.

Step-by-step explanation:

I need HELPPPPPP some one please help me :(

Answers

Answer:

well i just know its 9 out of 27

Step-by-step explanation:

Answer:

33.33% of the pizzas DO NOT have pepperoni.

Step-by-step explanation:

27 - 18 = 9

9/27 = ?%

33.33% = ?%

Item 4
An account earns simple interest.

$925 at 2% for 2.4 years

a. Find the interest earned.

$

b. Find the balance of the account.

$

Answers

Answer:

24

Step-by-step explanation:

Please help ASAP. Thanks so much.

Answers

Answer:

B. 3

Step-by-step explanation:

To find the value of c, substitute the x and y values of the given point into x and y of the equation, then isolate c. Since that given point is (2,5), substitute 2 for x and 5 for y:

[tex](5) = -2(2)^2+8(2)-c\\5 = -2(4)+16-c\\5 = -8 + 16 - c \\5 = 8 -c\\-3 = -c\\c = 3[/tex]

Thus, c = 3.

To order a pizza, you must choose a type of crust, a type of sauce, and also a size. How could you determine the number of outcomes? Use the fundamental counting principle. Make a tree diagram. Find the product of 3 × 3 × 3. Find the product of 4 × 3 × 4. Find the product of 3 × 2 × 3.

Answers

Answer:

Step-by-step explanation:

So 3x3x3= 27

Then 4x3x4=48

After you do that do 3x2x3=18

then i think you add that all together so you get 93 and yeah i think thats the answer :D

Answer:

Make a tree diagram

Use the fundamental counting principle.

Find the product of 3 × 2 × 3.

Step-by-step explanation:

i dont know there just right

What is the slope of the line that passes through the points (-9, 8)(−9,8) and (-21, 10) ?(−21,10)?

Answers

Answer:

slope=-1.5

Step-by-step explanation:

-3x^2+ 3
What is the difference quotient

Answers

Answer:

-6x - 3h

Step-by-step explanation:

Write as a function.

[tex]f(x)=-3x^{2}+3[/tex]

Consider the difference quotient formula.

[tex]\frac{f(x+h)-f(x)}{h}[/tex]

Find the components of the definition.

[tex]f(x+h)=-3h^{2}-6hx-3x^{2}+3\\f(x)=-3x^{2}+3[/tex]

Plug in the components.

[tex]\frac{f(x+h)-f(x)}{h}=\frac{f(x+h)=-3h^{2}-6hx-3x^{2}+3}{h}[/tex]

Simplify

[tex]\frac{3h(-h-2x)}{h}[/tex]

-6x - 3h

good luck, i hope this helps :)

calcular el tamaño de muestra para una poblacion de 543.098 consumidores de una marca de bebida gaseosa donde el investigador asigna un nivel de confianza de 95% y una margen de error de 3% con una probabilidad de existo de 70% y de fracaso 30%

Answers

Answer:

m m m m m m

Step-by-step explanation:

mmmmmmmmm m m m m m m mm m m m m m m

Factor the following trinomial: x2 + 8x + 15.

Answers

Answer:

(x + 3) (x + 5)

3. The radius of a basketball is approximately 12.1cm. What is the volume of the basketball

A 7359 cm3
B 1840 cm
C. 7421 cm
D. 22 262 cm​

Answers

I am thinking C might not be c

The volume of a perfect ball is [tex]V=\frac{4\pi r^3}{3}[/tex].

In your case

[tex]V=\frac{4\pi 12.1^3}{3}=7420.7\approx7421\mathrm{cm^3}[/tex]

Hope this helps.

The graph of g(x), shown below, resembles the graph of f(x) = x - x2, but it
has been changed somewhat. Which of the following could be the equation
of g(x)?
Anxx
O A. f(x) = (x + 2)4 - (x + 2)2
B. f(x) = x - x2-2
C. f(x) = (x - 2)4 - (x - 2)2
O D. f(x) = x - x2 + 2

Answers

Answer:We are given function f(x) = x^4 - x^2.

We need to find the equation of function g(x) according to shown graph.

We can apply rules of transformation to get the function g(x) by using given graph.

Function g(x) graph is being shift a half or 0.5 units up of the graph f(x).

When graph shift k units up, we add k to given function.

Where k is some constant.

In the graph f(x) is being shifted 0.5 units up.

So, we would add 0.5 in f(x) = x^4 - x^2 function.

On adding 0.5 we get

g(x) = f(x)+0.5 = = x^4 - x^2 +0.5.

Therefore, correct option is second option.

g(x) =  x^4 - x^2 +0.5.

Step-by-step explanation:

An automotive manufacturer wants to know the proportion of new car buyers who prefer foreign cars over domestic. Step 2 of 2 : Suppose a sample of 768 new car buyers is drawn. Of those sampled, 192 preferred foreign over domestic cars. Using the data, construct the 80% confidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars. Round your answers to three decimal places.

Answers

Answer:

The 80% confidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars is (0.23, 0.27).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

Suppose a sample of 768 new car buyers is drawn. Of those sampled, 192 preferred foreign over domestic cars.

This means that [tex]n = 768, \pi = \frac{192}{768} = 0.25[/tex]

80% confidence level

So [tex]\alpha = 0.2[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.2}{2} = 0.95[/tex], so [tex]Z = 1.28[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.25 - 1.28\sqrt{\frac{0.25*0.75}{768}} = 0.23[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} =  0.25 + 1.28\sqrt{\frac{0.25*0.75}{768}} = 0.27[/tex]

The 80% confidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars is (0.23, 0.27).

15 in.
12 in.
Bh
A formula for the volume of a pyramid is V = 3 . which expression can be used to find V, the
volume of the pyramid, in cubic inches?

Answers

I have to watch the videos for the one

Answer:

720 would be your answer

Step-by-step explanation:

PLEASE HELP ME YOU DON'T HAVE TO SHOW UR WORK I JUST NEED THE ANSWER

Answers

Answer:

it would be C.

Step-by-step explanation:

if you add -12.8 and 17.3 you would get 4.5 as you answer.

Someone please help me I’ll give out brainliest please dont answer if you don’t

Answers

5=1=100%
So now 9 In relation to the 5
9=more than 1=more than 100%

So if you divide out each of the 5 laps amongst the 100% each lap equals 20% of the 100%
So if each lap equals 20%
Each of the 9 laps also equals 20%
So 9times 20%= 180% which makes sense because he’s only one lap off trim double.
But it’s asking for the percent increase so you can do this a few ways
180-100=80
(9-5)times20=80
Good luck

Please help due tonight will give good review and brainliest!

Answers

Answer:

True

Not true

true

True

Step-by-step explanation:

A stack of 700 pieces of paper is 10.5 inches tall. How thick is one single piece of paper?

Answers

Answer:

0.381mm or 0.015in

Step-by-step explanation:

no. of papers in the stack-700

total length of stack-10.5in

thickness of single piece of paper= 10.5/700= 0.015in=0.381mm

Write an exponential function in the form y = ab^x that goes through points (0,7)
and (2,567).

Answers

Answer: Down Below

Step-by-step explanation: y=ab^x

20=ab^0=a

so y=20ab^x

5120=20b^x

 256=b^x

can recognize that 256 is 2^8

so the equation is y=20*2^x

Answer:

7(9) ^x

xStep-by-step explanation:

PLEASE HELP! According to Mediamark Research, Inc. 86% of all U.S. households in 2007 owned at least one cellular phone. In a
simple random sample of 300 households, what is the standard deviation of households that own at least one cellular
phone? Round to the nearest tenth.

Answers

Answer:

260

Step-by-step explanation:

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