can somebody help with this

Answer:

0.4460 = 44.60% probability that none of the 8 surnames of these authors were among the 10 most common

Step-by-step explanation:

For each surname, there are only two possible outcomes. Either they are among the 10 most common, or they are not. Each author is independent of each other. So we use the binomial probability distribution to solve this question.

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.

These names account for 9.6% of all U.S. residents.

This means that [tex]p = 0.096[/tex]

8 authors in total.

This means that [tex]n = 8[/tex]

What is the probability that none of the 8 surnames of these authors were among the 10 most common

This is [tex]P(X = 0)[/tex]. So

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

[tex]P(X = 0) = C_{8,0}.(0.096)^{0}.(0.904)^{8} = 0.4460[/tex]

0.4460 = 44.60% probability that none of the 8 surnames of these authors were among the 10 most common

Answer:

6-16y

Step-by-step explanation:

Distribute

2*3

2*-8y

6-16y

Answer:

this is the answer 2 • (3 - 8y)

Step-by-step explanation:

Answer:

143

Step-by-step explanation:

multiply the 2 together

plz brainliest!

The area of her bedroom is 143 square feet.

The area of rectangle is product of its length to its width.

i.e., Area of rectangle= length x width

Given:

length = 13 feet

width = 11 feet

so, Area of rectangle = length x width

                                   = 13 x 11

                                   = 143 square feet.

Hence, the area of her bedroom is 143 square feet.

Learn more about area of rectangle here:

https://brainly.com/question/20693059

#SPJ2

Answer:

Number 2 is incorrect

Step-by-step explanation:

The correct answer would be line CA is congruent to line ZX

Answer:

5

Step-by-step explanation:

coefficeint is the number before the variable

Answer:

A)

Step-by-step explanation:

V=1/3([tex]\pi[/tex]r²)h

3* V=1/3(πr²h)*3 to get rid of the 1/3 on that side

3V/(πr²)=(πr²)h/(πr²) to get rid of the πr² on the other side(they cancel out)

3V/(πr²)=h is the final answer so that matches A

Answer:

7:15 AM

Step-by-step explanation:

Answer:

It's 7.15 A.M.

Step-by-step explanation:

You mentioned breakfast and people do go to work in the morning so it is A.M.

Hope this helps you

PLS RATE AS BRAINLIEST ANSWER

Step-by-step explanation:

The longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.

So the smallest angle is <P.

Hope it may help :)..

Answer: Acute angle

Step-by-step explanation:

because it is at a 62 I think angle

Answer:

THE swords men and archer men will take over

Step-by-step explanation:

Answer: 7x-y=10

Step-by-step explanation:

Distribution table :

X : ___ 1 _____ 2 _____ 3 ______ 4

P(x) __0.50 __0.25 __ 0.15 ____ 0.10

Answer:

1.85 ; 1.014 ;` 0.55 ; 3.042

Step-by-step explanation:

Probability distribution :

X : ___ 1 _____ 2 _____ 3 ______ 4

P(x) __0.50 __0.25 __ 0.15 ____ 0.10

The mean: E(x) = Σ(X * p(x))

(1*0.5) + (2*0.25) + (3*0.15) + (4 *0.10)

= 1.85

Standard deviation = sqrt(Var(x))

Var(x) = Σ(x²*p(x)) - E(x)²

Var(x) = ((1^2*0.5) + (2^2*0.25) + (3^2*0.15) + (4^2 *0.10)) - 1.85^2

= 4.45 - 3.4225

= 1.0275

Standard deviation = sqrt(1.0275)

Standard deviation = 1.0136567

Standard deviation(X) = 1.014

3.)

Cost of spin = $5

Amount, y to be received = 3 times the number that appears

y = 3x - cost of playing

y = 3x - 5

E(y) = E(3x - 5)

E(y) = E(3x) - 5

Recall :E(x) = 1.85

E(y) = 3(1.85) - 5

E(y) = 0.55

Standard deviation :Sd(y) =

Sd(3x - 5)

3(1.014)

= 3.042

Answer:

There are 62 acres of old growth trees

Step-by-step explanation:

You would need to find 0.2% of 31,000

Lets say 0.2% of 31,000 is Y

Y = 0.2/100

Y = 0.2 ÷ 100 x 31,000

Y= 62

Answer:

-3/6

Step-by-step explanation:

integer rules

Answer:d

Step-by-step explanation:

Both aren’t related But they do have some impact on eachother

Answer:

yes because 1 divided by 2 is 0.5 which can be converted to 50%

Answer:

85 gallons a day.

Step-by-step explanation:

that's if you mean 2,550 and how many gallons a day you fill a pool for example. but that's a guess for the question.

Answer:18

Step-by-step explanation: 6x3

the formula for area: parallelogram

Answer:

-4/9

Step-by-step explanation:

We first calculate the first bracket.

[2/3-(-4/9)]

= (2/3+4/9) (we cancel out the negatives)

= (6/9+4/9) (common denominator)

= 10/9

Then we convert -2 1/2 into an improper fraction.

-2 1/2

= -5/2

Finally we calculate the division by swapping the numerator and denominator of -5/2.

10/9 / -5/2

= 10/9 * -2/5

= -20/45

= -4/9 (simplify the terms)

[tex] \large \boxed {y - y_1 = m(x - x_1)}[/tex]

[tex]y_1 = 3 \\ x_1 = - 4 \\ m = 2[/tex]

[tex]y - 3 = 2(x - ( - 4)) \\ y - 3 = 2(x + 4)[/tex]

[tex] \large \boxed {y - 3 = 2(x + 4)}[/tex]

Answer:

The hotel charge for each room to maximize its daily revenue and the maximum daily revenue is explained below in details.

Step-by-step explanation:

So for every $1 hike in price, the number of rooms goes underneath by 1.

So the earnings can be displayed by R(x) = (300-x)(80+x)

From that, you require to subtract 22(300-x) since it takes $22 per occupied room.

AND there is a framed cost of $1000 per day.

So your profit function is P(x) = (300-x)(80+x) - 22(300-x) - 1000

Simplified, this is P(x) = -x2 +242x + 16400.

P'(x) = -2x + 242  Set it = to 0

x = 121 which displayed the number of unoccupied rooms.

P(121) = -14641 + 29282 + 16400 = $31041

You can verify by computing P(120) and P(122) which both even $31040.

Hope this helps.

Answer:

3/7

Step-by-step explanation:

Answer:

7. 4

8. 7

Step-by-step explanation:

7. [tex] \frac{1}{2} = \frac{x}{8} [/tex]

Cross multiply

[tex] 1*8 = x*2 [/tex]

[tex] 8 = 2x [/tex]

[tex] \frac{8}{2} = \frac{2x}{2} [/tex] (division property of equality)

[tex] 4 = x [/tex]

[tex] x = 4 [/tex]

8. [tex] \frac{3}{x - 3} = \frac{6}{8} [/tex]

Cross multiply

[tex] 3*8 = 6(x - 3) [/tex]

[tex] 24 = 6x - 18 [/tex]

[tex] 24 + 18 = 6x [/tex] (addition property of equality)

[tex] 42 = 6x [/tex]

Divide both sides by 6

[tex] 7 = x [/tex]

[tex] x = 7 [/tex]

Answer: A. 4

Step-by-step explanation: The base number is 4 and the exponent is 5. Hope this helps ^-^.