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Volume of a cube<br> 3.8 ft<br> 1.1 ft

balu736 [363]

Where’s the photo? But I need to answer with a photo 3.8 ft and 1.1 ft equals 4.9 ft

7 0

3 years ago

What is the total cost of a sweater if the regular price is $34.00 and the sales tax is 4 %? 1 2?

pochemuha

The sales tax would be $1.36 so the total cost would be $35.36

7 0

4 years ago

Can anyone tell me what a math puzzle is there are five question i have to do

Svetradugi [14.3K]

$A. \\
44 \div (4 \cdot 4)=44 \div 16=\frac{44}{16}=\frac{11}{4}=2 \frac{3}{4} \not= 36 \\ \\
B. \\
44-4-4=40-4=36 \\ \\
C. \\
(4 \cdot 4)+(4 \cdot 4)=16+16=32 \not= 36 \\ \\
D. \\
(4+4+4) \cdot 4=12 \cdot 4=48 \not= 36$

The answer is B.

7 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

What is the answer to this math problem?

11Alexandr11 [23.1K]

Answer:

The answer is 243 I believe

Step-by-step explanation:

Multiply 27 times 6, once you get the product of that, multimply that by 3. Once you have done all of that multiply that by 1/2 or 0.5

8 0

3 years ago