1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Fed [463]
3 years ago
5

A recipe book has 24 appetizer recipes

Mathematics
1 answer:
Mariana [72]3 years ago
5 0
The answer would be 71
You might be interested in
) The density of oil in a circular oil slick on the surface of the ocean at a distance of r meters from the center of the slick
Feliz [49]

Answer:

Therefore the mass of the of the oil is 409.59 kg.

Step-by-step explanation:

Let us consider a circular disk. The inner radius of the disk be r and the outer diameter of the disk be (r+Δr).

The area of the disk

=The area of the outer circle - The area of the inner circle

= \pi (r+\triangle r)^2- \pi r^2

=\pi [r^2+2r\triangle r+(\triangle r)^2-r^2]

=\pi [2r\triangle r+(\triangle r)^2]

Since (Δr)² is very small, So it is ignorable.

∴A=2\pi r\triangle r

The density \delta (r)= \frac{40}{1+r^2}

We know,

Mass= Area× density

        =(2r \pi \triangle r)(\frac{40}{1+r^2}})

Total mass M=\sum_{i=1}^n \frac{80r_i\pi }{1+r^2}\triangle r_i

Therefore

\sum_{i=1}^n \frac{80r_i\pi }{1+r^2}\triangle r_i=\int_0^5 \frac{80r\pi }{1+r^2}dr

                      =40\pi[ln(1+r^2)]_0^5

                      =40\pi [ln(1+5^2)-ln(1+0^2)]

                     =40\pi ln(26)

                     = 409.59 kg (approx)

Therefore the mass of the of the oil is 409.59 kg.

3 0
2 years ago
Rabies is an often-fatal disease typically transmitted through the bite of an infected animal. The state of Florida has been rec
slega [8]

Answer:

a) 3.6

b) 1.897

c)0.0273

d) 0.9727

Step-by-step explanation:

Rabies has a rare occurrence and we can assume that events are independent. So, X the count of rabies cases reported in a given week is a Poisson random variable with μ=3.6.

a)

The mean of a Poisson random variable X is μ.

mean=E(X)=μ=3.6.

b)

The  standard deviation of a Poisson random variable X is √μ.

standard deviation=S.D(X)=√μ=√3.6=1.897.

c)

The probability for Poisson random variable X can be calculated as

P(X=x)=(e^-μ)(μ^x)/x!

where x=0,1,2,3,...

So,

P(no case of rabies)=P(X=0)=e^-3.6(3.6^0)/0!

P(no case of rabies)=P(X=0)=0.0273.

d)

P(at least one case of rabies)=P(X≥1)=1-P(X<1)=1-P(X=0)

P(at least one case of rabies)=1-0.0273=0.9727

8 0
3 years ago
Whats the answer to 15 3/4 ÷ 1 3/4 step by step
azamat

Answer:

9

Step-by-step explanation:

(15×4+3)/4 ÷(4×1+3)/4= 63/4 ÷ 7/4= 9

6 0
2 years ago
Can someone. help me solve this pls .
olchik [2.2K]

Answer:

1.108

729 =  {n}^{6} \\  \sqrt[6]{729}  =   \sqrt[6]{ {n}^{6} }  \\ n = 1.108

7 0
3 years ago
Where are the negative rational numbers placed on a vertical number line?
Y_Kistochka [10]

Answer:

B es pero que te ayude amigo

7 0
2 years ago
Other questions:
  • Please help me guys I’m having trouble
    9·1 answer
  • What is the surface area of the regular pyramid given below?
    13·1 answer
  • PLZ HELP ASAP! Tysm!
    13·1 answer
  • WILL MARK BRAINLIEST PLEASE HELP! How many three-digit numbers are multiples of neither 5 nor 7?
    7·2 answers
  • Mei has 8 jars of soup.each jar contains 300 milliliter a of soup.what is the smallest pot mei can use to heat all the sou?
    10·1 answer
  • the value of a car when purchased in 2008 was $21,500. It loses 12% of its value every year. What is the value of the car in 201
    5·1 answer
  • Please help me out with question 2
    15·1 answer
  • Solve the following equation by the trial and error method...<br><br><br>plzzzz fast ......​
    11·1 answer
  • 1. Solve for n: n+5/16 = -1 <br>(A) 96 <br>(B) -96 <br>(C) 21 <br>(D) -21​
    14·1 answer
  • The number of cars in a parking lot are no more than 7.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!