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What is the exact circumference of the circle?
I'LL MARK THE BRAINLIEST What is the exact circumference of - 1

Answers

Answer 1
Answer:

Answer:    c=2πr

Step-by-step explanation:

because im just that guy
Answer 2
Answer:

Answer:

c=62.8

Step-by-step explanation:

diameter=20

radius=10

c=2πr

c=2×22/7×10

c=62.8

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Help me factorise 25tx squared + 20t - 24 please?

Answers

I tried to figure it out but Math Way says it cant be factorized? Sorry i hope you figure it out! Math way might be your best bet though

Find the distance between the two numbers on the number
line.

Answers

Answer:

3 1/2

Step-by-step explanation:

|-7| - |-3 1/2| = 3 1/2

A particular concentration of a chemical found in polluted water has been found to be lethal to 40% of the crayfish that are exposed to the concentration for 24 hours. 22 crayfish are placed in a tank containing this concentration of chemical in the water. (a) What is the probability that 13 or 17 survive?
(b) What is the probability that at least 17 survive?
(c) What is the probability that at most 16 survive?
(d) What number of crayfish are expected to survive?
(e) What is the variance in the number of crayfish that are expected to survive? No actual crayfish were harmed in the making of this question.

Answers

Answer:

a) P(X=13)=(24C13)(0.4)^(13) (1-0.4)^(24-13)=0.0608

P(X=17)=(24C17)(0.4)^(17) (1-0.4)^(24-17)=0.0017

P(X=13 U X=17) = 0.0608+0.0017=0.0624

b) P(X \geq 17)=0.000427

c) P(X \geq 16)= 1-0.000427=0.9996

d) E(X)= np = 22*0.4=8.8

e) Var(X) = np(1-p)= 22*0.4*(1-0,4)=5.28

Step-by-step explanation:

1) Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

2) Solution to the problem

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=24, p=0.4)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^(n-x)

Where (nCx) means combinatory and it's given by this formula:

nCx=(n!)/((n-x)! x!)

3) Part a

P(X=13)=(22C13)(0.4)^(13) (1-0.4)^(22-13)=0.0336

P(X=17)=(22C17)(0.4)^(17) (1-0.4)^(22-17)=0.00035

P(X=13 U X=17) = 0.0336+0.00035=0.0340

4) Part b

P(X \geq 17)=P(X=17)+P(X=18)+P(X=19)+P(X=20)+P(X=21)+P(X=22)

P(X=17)=(22C17)(0.4)^(17) (1-0.4)^(22-17)=0.00035

P(X=18)=(22C18)(0.4)^(18) (1-0.4)^(22-18)=0.0000651

P(X=19)=(22C19)(0.4)^(19) (1-0.4)^(22-19)=0.00000914

P(X=20)=(22C20)(0.4)^(20) (1-0.4)^(22-20)=0.000000914

P(X=21)=(22C21)(0.4)^(21) (1-0.4)^(22-21)=5.81x10^(-8)

P(X=22)=(22C22)(0.4)^(22) (1-0.4)^(22-22)=1.76x10^(-9)

P(X \geq 17)=0.000427

5) Part c

P(X \leq 16)=1-P(X>16)=1-P(X\geq 17) = 1-[P(X=17)+P(X=18)+P(X=19)+P(X=20)+P(X=21)+P(X=22)]

P(X \geq 16)= 1-0.000427=0.9996

6) Part d

The expected value is:

E(X)= np = 22*0.4=8.8

7) Part e

The variance is given by:

Var(X) = np(1-p)= 22*0.4*(1-0,4)=5.28

According to the National Institute of Allergy and Infectious Diseases, 6% of American adults have a food allergy. A large company plans a lunch reception for its 500 employees. Assume that employees are independent. Let the random variable X be the number of company employees who have a food allergy. (a) What are the assumptions/requirements of a Binomial distribution? Does this situation meet all these requirements?
(b) What are the expected value and standard deviation of X (i.e., of the population)?
(c) What is the probability that none of the 500 employees has a food allergy?

Answers

Answer:

a) The requirements is that each trial can only have two outcomes(success/failure), and each trial has the same probability of a success, that is, they are independent of each other.

In this problem, for each person, either they are allergic to some kind of food, or they are not. The probability of a person being allergic is independent of any other people. So this situations meets all these requirements.

b) The expected value is 30 and the standard deviation is 5.31.

c) Close to 0% probability that none of the 500 employees has a food allergy

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they have food allergy, or they do not. The probability of an adult having allergy is independent of other adults. 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.

P(X = x) = C_(n,x).p^(x).(1-p)^(n-x)

In which C_(n,x) is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_(n,x) = (n!)/(x!(n-x)!)

And p is the probability of X happening.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

√(V(X)) = √(np(1-p))

6% of American adults have a food allergy

This means that p = 0.06

500 employees.

This means that n = 500

(a) What are the assumptions/requirements of a Binomial distribution? Does this situation meet all these requirements?

The requirements is that each trial can only have two outcomes(success/failure), and each trial has the same probability of a success, that is, they are independent of each other.

In this problem, for each person, either they are allergic to some kind of food, or they are not. The probability of a person being allergic is independent of any other people. So this situations meets all these requirements.

(b) What are the expected value and standard deviation of X (i.e., of the population)?

E(X) = np = 500*0.06 = 30

√(V(X)) = √(np(1-p)) = √(500*0.06*0.94) = 5.31

The expected value is 30 and the standard deviation is 5.31.

(c) What is the probability that none of the 500 employees has a food allergy?

This is P(X = 0).

P(X = x) = C_(n,x).p^(x).(1-p)^(n-x)

P(X = 0) = C_(500,0).(0.06)^(0).(0.94)^(500) \cong 0

Close to 0% probability that none of the 500 employees has a food allergy

How do I solve a mathematics problem that is too complex for me to solve?

Answers

Answer:

First, you should read that statement many time and just try to learn the concepts of that chapter and look at your examples you will find something same as your questions. Then if you cannot solve that question ask your elder to understand. After understanding that question do that question 4 to 5 times then you will understand that question easily..

Hope you like it please thank me or mark it as a brainliest answer.....

Answer:

If you really can't solve it and you have no idea what the question is talking about, ask someone for help. For example, your teacher or your friends.

You can literally post your question on Brainly for us to answer if we can. That is the purpose of Brainly. Even if it is a really complex and hard question, you should still take the chance of posting it since there are like millions of people using Brainly and this will make it much more easier to find someone to help you.

Which cannot be the angle measurements of triangle ABC? OmZA = 55°, mZB = 65°, mZC = 60° OmZA = 60°, mZB = 60°, mC = 60°
MZA= 57°, MZB = 58°, mZC = 65°
MZA = 61°, mZB = 57°, mZC = 61°​

Answers

Answer:

D. m<A = 61°, m<B = 57°, m<C = 61°

Step-by-step explanation:

The sum of all interior angles of a triangle is always equal to 180°.

Therefore, any set of given angle measurement of a triangle should sum up to 180°.

From the options given, the following angle measurements given in option D,

,m<A = 61°, m<B = 57°, m<C = 61° cannot be angle measurements of ∆ABC. This is because they sum up to give 179° instead of 180°.

Answer:

The answer is D

Credits to the person above me.

; )

Step-by-step explanation:

EDGE 2021
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