On Roberto’s shelf he has 6 mystery books, 5 science fiction, 4 history and 3 adventure. Roberto will randomly choose 1 book to read. What is the probability that he will choose an adventure book?

Answer:You need to give a equation first.

Step-by-step explanation:Equation please!

Answer:

The probability of  getting B=40 is [tex]0.11\times 10^{-11}[/tex] which is negligible.

Step-by-step explanation:

Given that 31 percent of the residents of a certain state who are age 25 years or older have a bachelor’s degree.

Assuming the population of the state aged 25 years or more is Bernoulli's population.

So, when 1 person aged 25 years or more from the state selected randomly, the probability of that person, p, having a bachelor’s degree,

[tex]p= 31/100=0.31\cdots(i)[/tex]

Now, according to Bernoulli's formula, the probability of exactly r success from the total number of sample n is

[tex]P(r)=\binom{n} {r}p^r(1-p)^{n-r}\cdots(ii)[/tex]

where p is the probability of success.

Here, a random sample of 50 residents of the state, age 25 years or older, will be selected.

So, n=50.

Given that variable B represents the number in the sample who have a bachelor’s degree,

We have to find the probability that B will equal 40.

So, r=B= 40.

Now, putting these values in equation(ii) and using p=0.25 from equation (i), we have

[tex]P(r=40)=\binom{50} {40}(0.31)^{40}(1-0.31)^{50-40}[/tex]

[tex]=\frac {50!}{40! (50-40)!}(0.31)^{40}(0.69)^{10} \\\\=\frac {50!}{40! \times 10!}(0.31)^{40}(0.69)^{10} \\\\=0.11\times 10^{-11}[/tex]

So, the probability of  getting B=40 is [tex]0.11\times 10^{-11}[/tex] which is negligible.

Using the binomial distribution, it is found that there is a [tex]1.13 \times 10^{-12}[/tex] probability that B will equal 40.

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

For each resident, there are only two possible outcomes. Either they have a bachelor's degree, or they do not. The probability of a resident having a bachelor degree is independent of any other resident, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials.

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

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

p is the probability of a success on a single trial.

In this problem:

The probability is:

[tex]P(B = 40) = C_{50,40}(0.31)^{40}(0.69)^{10} = 1.13 \times 10^{-12}[/tex]  

[tex]1.13 \times 10^{-12}[/tex] probability that B will equal 40.

A similar problem is given at https://brainly.com/question/24863377

Answer:

S=64

Step-by-step explanation:

if the s is what your looking for

Answer:

s=64

Step-by-step explanation:

s/4-7+7=9+7

s/4=16

4s/4=16

Answer:

I believe is A.

Step-by-step explanation:

9x^2 - 25 = 0

9x^2 = 25

x^2 = 25/9

x = 5/3

Answer:

less than a minute

Step-by-step explanation:

Answer:

it would be a rectangle

Step-by-step explanation:

The perpendicular cross-section of a soup can should be considered as the rectangle.

A rectangle refer to a 2D shape that consist of 4 sides, 4 corners, and 4 right angles.

Opposite sides of a rectangle shape should contain the same length, with one pair being bigger as compared to the other pair.

Therefore, The perpendicular cross-section of a soup can should be considered as the rectangle.

Learn more about rectangle here: https://brainly.com/question/12406000

Answer:

Step-by-step explanation:

21/7 = x/4

84=7x

x=12

3:1 is your ratio

Answer:

p=4h

Step-by-step explanation:

Knowing that Korey plants 12 trees every 3 hours we then can figure out how many trees he plants in 1 hour, by dividing the ratio (12) to the rate (3) by doing that we get 4, which is the amount of trees that he would plant in 1 hour. Then the number of tree's that he plants (p) would equal 4 times how many hours he spends planting them.

Answer:

A

Step-by-step explanation:

2/3x + 4 = 2/3 (x + 4/(2/3)) = 2/3 (x + 6)

Topic: Algebraic equations + factorisation

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

Answer:

D Not enough information

Step-by-step explanation:

They give us one pair of congruent sides and we know there is a pair of  congruent angles because of vertical angles however we can't say for sure that the sides are equal because there is no theorem to prove it and we can't guess by eye in Geometry

Hope This Helps :)

Answer:

84

Step-by-step explanation:

67+43=110

110-26=84

Answer:

I think this is correct if not lmk please!

Step-by-step explanation:

300

10

2

.

0

5

4

Answer:

[tex] {b}^{4} + 1[/tex]

Your teacher messed up the question so just put the top right answer and ask your teacher if they did accidently miss-type.

Step-by-step explanation:

The first thing to do in this equation is look at the exponents. When multiplying a variable (or any number equal to itself with the same exponent) you only have to add the exponent. So for a, you would add the exponents to get 0, so a to the power of 0 is 1, because any number to the power of 0 is 1. For b, we would add the 3 and 1. (When no exponenet is present in a number then it is 1, so for this I added 3 and 1). So it would be 4. The correct answer is

[tex] {b}^{4} + 1[/tex]

Answer:

-43

Step-by-step explanation:

-1-7(6)

-1-42

-43

Answer:

The slope of the line is m=−1.

The equation of the line in the slope-intercept form is y=−x+5.

The equation of the line in the point-slope form is y−3=−(x−2).

The equation of the line in the point-slope form is y−5=−x.

The general equation of the line is x+y−5=0.

Answer:

In 3 years she will make $6.44.

Step-by-step explanation:

Answer

19.86

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Since 15 is 3 times the ratio you multiply 4 by 3

Answer:

There are 12 boys in Ms. Stell's World History Class.

Step-by-step explanation:

The ratio we are given is 5:4.

*5 is the simplified version of 15

*4 is the simplified version of x (total number of boys)

The first thing we need to do is find the number that gives us the total number of girls (15)

5*3 = 15.

Now we do that for the 4.

[tex]\frac{5*3}{4*3}[/tex] = [tex]\frac{15}{12}[/tex]

The answer should be 15:12

Best of Luck!

Answer:

17/25

Step-by-step explanation:

First put it into fraction form: 68/100

Simplify in no particular order just make sure that what you do to the top, you do to the bottom: 68÷2=34 100÷2=50

Simplify as many times needed: 34/50 34÷2=17 50÷2=25

You have your answer! 17/25

The fraction in the simplest form of the decimal 0.68 is 17 /25.

The decimal form is 0.68. We are told to convert to the fraction form in it simplest form. Therefore,

0.68 = 68 / 100 = 17 / 25

The logic behind it is moving the decimal 2 points forward . This beget 2 zero's in the denominator. Moving the decimal 2 points forward makes 0.68 to become 68 and the denominator takes 2 zero's which makes it the same as 68 / 100. When we reduce it we get 17 /25.

read more: https://brainly.com/question/15922875?referrer=searchResults

Answer:

f(3) = - 60

Step-by-step explanation:

To evaluate f(3) substitute x = 3 into f(x), that is

f(3) = 5(3)² - 7(4(3) + 3)

     = 5(9) - 7(12 + 3)

     = 45 - 7(15)

     = 45 - 105

     = - 60

Answer:

smile

Step-by-step explanation:

*see attachment for the diagram of the party hat

Answer:

A: 84.82 in³

Step-by-step explanation:

Given:

Diameter of hat = 6 in

Height of hat = 9 in

Required:

Approximate Volume of the Hat

SOLUTION:

The volume of the hat = volume of cone

Volume of cone = ⅓*πr²h

r = ½ of diameter = 3 in

h = 9 in

Volume = ⅓*π*3²*9

Volume = 84.82 in³

Answer:

It’s 84.82 which is A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given that:

A professional climber makes his way up to 828 meters in 6 hours in Burj Khalifa.

Therefore; in two hours, he would have climbed:

x = (828 m × 2hrs)/6 hrs

x = 276 miles

In five hours, he would have climbed;

y = ( 828 m × 5 hrs)/6 hrs

y = 690 miles

SInce 60 minutes = 1 hour

Then 15 minutes will be ( 15)/60 = 0.25 hours

Thus, in the last 15 minutes;

He climbed  = (828 m × 0.25 hrs)/6 hrs = 34.5 miles

Answer:

x = 0, y = -3

Step-by-step explanation:

plug in x as y + 3 into the first equation

6(y+3) - 5y = 15

6y+18 - 5y = 15

y = -3

x= 0

Was Gud! How are you?

Anyway, the correct answer my brother/sister is: C- (0,2)

Hope you have a wonderful/blessed day ;>

Answer:32

Step-by-step explanation:

x = 21/16

Hope I helped

Answer:

21/16=x

Step-by-step explanation:

[tex]8x+\frac{5}{2} =13\\2(8x+\frac{5}{2} =13)\\16x+5=26\\16x=21\\x=\frac{21}{16}[/tex]

Hope this helps ;D

Answer:

Step-by-step explanation:

[tex]x^2-35^2=13^2-5^2\\\\x^2-1225 = 169-25\\\\x^2=144+1225\\\\x^2=1369\\\\x=\sqrt{1369}\\\\x=37[/tex]

Answer:

Disturbute

Step-by-step explanation:

2p-2j