5.

If the cones below are similar, what is the ratio of the surface area of Cone A to the surface area of Cone B? 21 in 35 in Cone

lilavasa [31]

Answer: the answer is 25:9

Step-by-step:

there’s no explanation i just did the assignment and guessed

(i’m sorry for no explanation just trust me that the answer is 25:9)

4 0

4 years ago

Simplify 6a + 10a + 3a

ddd [48]

<span>Simplify: 6a + 10a + 3a = 0
Combine like terms: 6a + 10a = 16a
WHICH IS:16a + 3a = 19a 19a = 0 Solving 19a = 0
Solve for a: 19a=0
Move all terms containing a to the left, all other terms to the right.
Divide each side by '19'. a = 0
Simplify a = 0</span>

6 0

4 years ago

Read 2 more answers

How do I do this I don’t know where to start

seropon [69]

This is simple pythagoras, its just a²+b²=c². First you find the hypotenuse, which is 97; now you have the equation: x²+72²=97²
x²=9409-5184
x= √4225
x=65
the answer is 65m

8 0

3 years ago

Read 2 more answers

Put brackets in the expression to make the following true. 4 - 7 - 8 + 6 = -17

Ratling [72]

4 - 7 - ( 8 + 6 ) = -17

6 0

3 years ago

According to the National Institute of Allergy and Infectious Diseases, 6% of American adults have a food allergy. A large compa

Vinil7 [7]

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.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

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:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

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)?

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

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{500*0.06*0.94} = 5.31$

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

4 0

3 years ago