Assume the random variable x has a binomial distribution with the given probability of obtaining a success. Find the following. Probabilitygiven the number of trials and the probability of obtaining a success. Round your answer to four decimal places. P(x>10), n=14, p= .8

Answers

Answer 1

Answer:

P(x > 10) = 0.6981.

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [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]

And p is the probability of X happening.

In this question:

[tex]n = 14, p = 0.8[/tex]

P(x>10)

[tex]P(x > 10) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 11) = C_{14,11}.(0.8)^{11}.(0.2)^{3} = 0.2501[/tex]

[tex]P(X = 12) = C_{14,12}.(0.8)^{12}.(0.2)^{2} = 0.2501[/tex]

[tex]P(X = 13) = C_{14,13}.(0.8)^{13}.(0.2)^{1} = 0.1539[/tex]

[tex]P(X = 14) = C_{14,14}.(0.8)^{14}.(0.2)^{0} = 0.0440[/tex]

[tex]P(x > 10) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) = 0.2501 + 0.2501 + 0.1539 + 0.0440 = 0.6981[/tex]

So P(x > 10) = 0.6981.


Related Questions

What is the sum of
7 + 8J + 3,?

Answers

Answer:

8j + 10

Step-by-step explanation:

I have a rectangular figure. I enlarge the rectangle so that each dimension is 9 times its original dimension.
Which statement about the areas of the pictures is true?

A. The area of the enlarged rectangle is 9 times the area of the original
B. The area of the enlarged rectangle is 81 times the area of the original.

Answers

The answer is b. Let me know if you need an explanation

(3x2+2−x3)−(−5x3+2x2+1)



Express the answer in standard form.

Enter your answer in the box.

Answers

Answer:

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

ax²+bx+c

Simplify each term.

3x²+2−x³+5x³−2x²−1

Simplify by adding terms.

4x³+x²+1

Step-by-step explanation:

Please someone help me with this

Answers

Answer: Soup B

Step-by-step explanation:  You can find the common denominator for each ratio, and then compare.

Soup A : 3 grams of sodium for 13 cups of soup,        

therefore: 30 grams of sodium for 130 cups of soup  

Soup B: 9 grams of sodium for 10 cups of soup,

therefore: 117 grams of sodium for 130 cups of soup

So, Soup B has more sodium per cup.

If you want to figure out the amount of sodium for 1 cup, divide the amount of sodium by the amount of soup.  Hope this helped!    

© PLAY
STOP
5
Madeline says that the two expressions 4(5 + x) and 20+ x equivalent.
(a)
Is Madeline correct?
A
Yes
B
No

Answers

Answer:

B  No

Step-by-step explanation:

4(5 + x)

To simplify the expression, we must use the distributive property. We need to multiply 4 by the each of the two terms inside the parentheses.

4(5 + x) = 4 × 5 + 4 × x = 20 + 4x

20 + 4x is equivalent to 4(5 + x).

20 + x is not equivalent to 20 + 4x, so 20 + x is incorrect.

Answer: B  No

Find the area of a regular heptagon with a side length of 14 units. Use 2 decimal places
in your calculations.

Answers

Answer:

Area of heptagon = 712.26 square units

Step-by-step explanation:

Given the following data;

Side length = 14 units

A heptagon is a polygon with seven sides.

Mathematically, the area of a heptagon is given by the formula;

Area of heptagon = 3.634a²

Where;

a represents the side length.

Area of heptagon = 3.634 * 14²

Area of heptagon = 3.634 * 196

Area of heptagon = 712.26 square units

Please help If using the method of completing the square to solve the quadratic equation
22 - 142 – 40 = 0, which number would have to be added to "complete the
square"?

Answers

I don’t know I suck at math sadly

NEED HELP ON THIS ASAP!!

Answers

Answer:

Solution given:

<Q+<P=180°[su m of co interior angle is supplementary]

<Q+95=180

<Q=180-95

<Q=85

m<Q=85° degree

What is the first step in solving -40=12x+8

Answers

Answer:

it's in the picture

Step-by-step explanation:

Calc help!
Suppose that

f(5) = 2, f '(5) = 9, g(5) = −6, and g'(5) = 7.

Find the following values.

(fg)'(5) =

(f/g)'(5) =

(g/f)'(5)=

Answers

Answer:

(fg)'(5) = -40

(f/g)'(5) = -68/36

(g/f)'(5)= 17

Step-by-step explanation:

(fg)'(5) =

Applying the product derivative:

[tex]fg(5) = f^{\prime}(5)g(5) + g^{\prime}(5)f(5) = 9*(-6) + 7*2 = -54 + 14 = -40[/tex]

(f/g)'(5) =

Applying the quotient derivative

[tex](\frac{f}{g})^{\prime}(5) = \frac{f^{\prime}(5)g(5) - g^{\prime}(5)f(5)}{g(5)^2} = \frac{9*(-6) - 7*2}{6^2} = -\frac{68}{36}[/tex]

(g/f)'(5)=

[tex](\frac{g}{f})^{\prime}(5) = \frac{g^{\prime}(5)f(5) - f^{\prime}(5)g(5)}{f^{\prime}(5)^2} = \frac{7*2 - 9*(-6)}{2^2} = \frac{68}{4} = 17[/tex]

what is the location of the point on the number line with the largest value
a. 3/4
b. 3/2
c. 6/5
d. 7/5​

Answers

Answer:

3/2

Step-by-step explanation:

6/5 = 1 1/5

7/5 = 1 2/5

3/2 = 1 1/2

1/5 < 2/5 < 1/2

Can someone help me please

Answers

-4 and 4
hope this helps !

3x^2 = 48

Divide both sides by 3

3x^2 ÷ 3 = 48 ÷ 3

x^2 = 16

Take a square root from both sides

√x^2 = + √16 " OR " √x^2 = - √16

x = 4 " OR " x = - 4

Thus the correct answer is option 3 .

If the scores per round of golfers on the PGA tour are approximately normally distributed with mean 69.3 and standard deviation 2.58, what is the probability that a randomly chosen golfer's score is below 70 strokes

Answers

Answer:

0.6069

Step-by-step explanation:

Given an approximately normal distribution:

Z = (x - mean) / standard deviation

Mean = 69.3 ; Standard deviation = 2.58

For :

P(x < 70)

Z = (70 - 69.3) / 2.58

Z = 0.7 / 2.58

Z = 0.2713

P(Z < 0.2713) = 0.6069

Which equation represents the line that passes through the points (-4, 0) and (0, 6)

Answers

Answer:

y = 1.5x + 6

Step-by-step explanation:

Given the following data;

Points on the x-axis (x1, x2) = (-4, 0)

Points on the y-axis (y1, y2) = (0, 6)

To find the equation of line;

First of all, we would determine the slope of the line.

Mathematically, slope is given by the formula;

[tex] Slope = \frac{Change \; in \; y \; axis}{Change \; in \; x \; axis} [/tex]

[tex] Slope, m = \frac {y_{2} - y_{1}}{x_{2} - x_{1}} [/tex]

Substituting into the equation, we have;

[tex] Slope, m = \frac {6 - 0}{0 - (-4)} [/tex]

[tex] Slope, m = \frac {6}{4} [/tex]

Slope, m = 1.5

To find the equation of line, we would use the following formula;

y - y1 = m(x - x1)

Substituting into the formula, we have;

y - 0 = 1.5(x - (-4))

y = 1.5x + 6

The area of a circle is increasing at a constant rate of 279 square feet per minute. At the instant when the radius of the circle is 66 feet, what is the rate of change of the radius? Round your answer to three decimal places.

Answers

Answer:The area of a circle is increasing at a constant rate of 279 square feet per minute. At the instant when the radius of the circle is 6 feet, what is the rate of change of the radius? Round your answer Io three decimal places. 37.699 ft/min 3.701 ft/min 7.401 ft/min 2.79 ft/min

Step-by-step explanation:

Evaluate C(8,2)

thank u!!!!

Answers

Step-by-step explanation:

Given in the question,

C(8,2)

Formula to use:

nCr = n! / r! * (n - r)!

here n = 8

r = 2

We have to calculate combinations of 8 object taken 2 at a time, then

C(8,2)

8C2

8! / 2! * (8 - 2)!

56/2

28

So, 8C2 = 28

Can somebody please help me. I am really stuck and the tutor option really isn’t working!!!!

Answers

Answer:

its fourth one in my opinoin

Quadrilateral ABCD is inscribed. The measure of ∠A=67°. What is the measure of ∠C?

Answers

Answer:

angle C =113 degree

Step-by-step explanation:

angle A + angle C =180 degree

angle C = 180 degree - angle A  

angle C = 180 degree - 67 degree

=113 degree

The width of a rectangle is 5 times its length. The perimeter is
53.
Find the width and length of the rectangle.

HELP. MATH FINAL DUE SOON....

Answers

Answer:

L = x

W = 5x

P = 2 (L + W)

53 = 2(x + 5x)

53 = 2(6x)

53 = 12x

x = 4/5/12

L = 4/5/12

W = 22/1/12

Solve the inequality: a - 4 <10
Α. α >14
B. a < 14
C. a <-14
D. a > 6
E. a<6

HELP!!

Answers

Answer:  a < 14  (Choice B)

==================================================

Explanation:

Add 4 to both sides

a-4 < 10

a-4+4 < 10+4

a < 14

The reason why we add 4 to both sides is to undo the "minus 4" that's happening to the variable.

The base of a triangle is 2 ft. The height of hr triangle is 15 in. What is the area of he triangle in square inches.

Answers

Answer:

A=180in²

Step-by-step explanation:

b≈0.61m

h≈0.38m

Answer:

180 in

Step-by-step explanation:

since you need the answer in inches first turn the 2 feet into inches so it would be 24 inches then follow the formula...........area = (1/2) · b · h and your answer should be 180. I hope I helped :)

What does it mean by And,Or in probability?

Answers

Answer:

In probability, there's a very important distinction between the words and and or. And means that the outcome has to satisfy both conditions at the same time. Or means that the outcome has to satisfy one condition, or the other condition, or both at the same time.

Step-by-step explanation:

thank me later

The nutrition label on a carton of soy milk says that one glass contains 7 grams of protein. How many milligrams of protein does one glass contain

Answers

The answer is 7000mg.

Solve
4x > 16
..............​

Answers

Answer:

256. fffddddddssddddd

1. 4x > 16 = x > 4.

hope i could help

Please Answer Correctly - Will Give Branliest & Extra Points. (links or unidentified/wrong answers will be reported and auto banned)

Answers

Answer:

Step-by-step explanation:

11 no

46+4x=90 degree(being perpendicular)

4x=90-46

x=44/4

x=11

12 no

They are complementary angles

6 no

angle B+27=180 degree(being straight line)

angle B=180-27

angle B=153

10 no

angle 38 +angle DFE=180 degree(being supplementary)

angle DFE=180-38

angle DFE=142 degree

5 no

They are vertically opposite angles.

7 no

angle AGF and angle CGD (because they have common arm and vertex)

Answer:

Solution given:

11.4x+46=90[being right angle]

4x=90-46

x=44/4

x=11

12.

Complementary angles

5.

vertical

6.

<ABD+27=180°[linear pair]

<ABD=180-27

<ABD=153° degree

10.

<DFE+38=180[being supplementary]

<DFE=180-38

<DFE=142 degrees.

7.

angle DGE and angle DGC

8.

<AGB and <AGE

6. Yenni bought some apple pies for $13 and had some money left. If she
buys 1 more apple
pie, she would have $0.20 left. If she decided to buy 3
more apple pies, she would be short of $1.80.
(a) How many apple pies did she buy with $13?
(b) How much money did Yenni have at first?

Answers

Answer:

A) Since each apple pie costs $ 1, with $ 13 Yenni bought 13 apple pies.

B) Yenni had $ 14.20 at the beginning.

Step-by-step explanation:

Since Yenni bought some apple pies for $ 13 and had some money left, and if she buys 1 more apple pie, she would have $ 0.20 left, while if she decided to buy 3 more apple pies, she would be short of $ 1.80, for To determine how many apple pies did she buy with $ 13, and how much money did Yenni have at first, the following calculations must be performed:

0.20 - (-1.80) = X

0.20 + 1.80 = X

2 = X

2/2 = 1

Therefore, since each apple pie costs $ 1, with $ 13 Yenni bought 13 apple pies.

13 + 1 + 0.20 = 14.20

14.20 - 13 = 1.20

In turn, Yenni had $ 14.20 at the beginning.

I neeeddddd help on this I’m failing

Answers

Answer:

AB = 9

Step-by-step explanation:

Here is a simple case of a proportion.

We see that:

3:4

x:12

what can we do to make 4 into 12?

we multiply it by 3

so we do the same to 3

3*3=9

Pls hurry and answer it for me!!!

Answers

The answer is D

It’s extremely simple
It is actually A: the intercept begins at 4 and will decrease by 2 as the slope is a negative value

Plz help me....
What are the coordinates of point A?

Answers

Answer:

It's 5/4 because you go by x first

Answer:

A:(5,4)

Step-by-step explanation:

Just look. at the graph.Hope this helps

8-10÷2+7x3

need this answer for homework
only reply if you know the exact answer
thank you for being kind​

Answers

Answer:

24

Step-by-step explanation:

use pemdas

Hope this helps

Other Questions
Steven earns extra money babysitting. He charges $31.00 for 4 hours and $46.50 for 6 hours. Enter an equation to represent the relationship. Let x represent the number of hours Steven babysit and y represent the amount he charges. The equation is y answer here give me question about equation of a circle question with real life situation. In Huckleberry Finn chapter 23 what is a sign that the raft traveled far south? it is an idea or statement which only comes from someone's feelings Find the value of a in this isosceles trapezoid. D. 11 A. 7 B. 15 C. 4 Sue uses 1/3 cup of coconut oil in each pie that she makes for her mother's bakery. If Sue made 7 cakes, how much oil did Sue use in all? * give a two example of which showed Bismillah Khan devotion towards india Find tan S and tan R. Write each answer as a fraction in simplest form which function is graphed below???? Assess the claim that World War I shocked the European-centered world order but World War II destroyed it. How was World War II different from World War I, and how did their outcomes differ Some red, white, and blue candies were placed in a bowl. Some contain nuts, and some do not. Suppose one of the candies were chosen randomly from all the candies in the bowl. According to the table below, if the candy is blue, what is the probability that it does not contain any nuts? what do you understand by threats to fundamental principles of ethical behaviour? HELP ITS NOT THAT HARD!!!!!!!!It is pretty easy to get a good photograph of a bird flying. True False a parts of the story that tells about where and when the story happen a climax b setting HELP ME PLEASE (pre algebra) I need a argument to: Differences in the structure of protein molecules affect how they connect to other protein molecules. This can result in different traits Can someone help me fill in these blanks. Ill mark you the best answer. What is an adjective? *O A word that describes a verbO A word that describes a nounO An action wordO A connecting word What is a boot camp?Pls help Consider f(x) = 2x^2 + 1 and g(x) = 3x - 6. Which statement about f + g is true?A.It is a linear function.B.It is a quadratic function.C. The domain is x 2-3.D. The range is all real numbers.