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Maurinko [17]
3 years ago
9

What is the domain of the function y=cube root of x

Mathematics
1 answer:
mafiozo [28]3 years ago
3 0
All real numbers. in interval notation, that's (<span><span>−∞</span>, ∞</span><span>). there isn't a value you could insert for "x" that would give you an error.</span>
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Does anyone know what the first question is ?
icang [17]
Answer is negative two
3 0
3 years ago
A pathologist knows that 14.9% of all deaths are attributable to myocardial infarctions (a type of heart disease). (Either you h
garik1379 [7]

Answer:

a) The mean number is 745 and the standard deviation is 25.18.

b) 896 deaths is a significantly high number, which means that there is cause for concern.

Step-by-step explanation:

For each death, there are only two possible outcomes. Either it is attributable to myocardial infarctions, or it is not. The probability of a death being attributable to myocardial infarctions is independent of other deaths. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

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)}

A value X is significantly high is:

X > E(X) + 2\sqrt{V(X)}

In this problem:

p = 0.149, n = 5000

a. Find the mean and standard deviation for the number of such deaths that will occur in typical region with 5000 deaths.

E(X) = np = 5000*0.149 = 745

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{5000*0.149*0.851} = 25.18

The mean number is 745 and the standard deviation is 25.18.

b. In one region, 5000 death certificates are examined, and it is found that 896 deaths were attributable to myocardial infarction. Is there cause for concern? Why or why not?

Is 896 a significantly high number?

E(X) + 2\sqrt{V(X)} = 745 + 2*25.18 = 795.36

895 > 795.36

896 deaths is a significantly high number, which means that there is cause for concern.

6 0
3 years ago
A movie theature offers two containers. One container is a traiangular prism with a base area of 12cm and 19 cm of height, for $
KATRIN_1 [288]

Answer:

rectangular container

Step-by-step explanation:

Triangular prism area: A = 1/3 * base area * height

                                        = 1/3 * 12 * 19

                                        = 76 cm²

Rectangular prism: A = base area * height

                                   = 8 * 15

                                   = 120 cm²

The rectangular container has a better value because it has a bigger area and is cheaper.

Hope this helps!

3 0
2 years ago
What is the probability that no 1s will be in the output for an input sequence of 10 digits??
emmasim [6.3K]
The total numbers with 10 digits are 9*10*10*10*10*10*10*10*10*10 = 9*(10^9)

If you are restricted to use no 1s, the numbers are 8*(9^9)

Then, the probability is : numbers with no 1s /  total numbers

 = 8*(9^9) / [9*(10^9)]= 0.344
5 0
3 years ago
Tell weather the two rates form a proportion. help
Sindrei [870]
7/9 = 42/54...when 42/54 reduces, it becomes 7/9...so this is proportional because proportions are nothing but equivalent fractions.

u could also check it this way...
12/21 = 15/24
cross multiply
(21)(15) = (12)(24)
315 = 288.....these do not equal and are therefore, not proportionate

440/4 = 300/3
110 = 100....not equal, so not proportionate

120/5 = 88/4
24 = 22.....not proportionate

66/82 = 99/123
0.804 = 0.804.......these are proportional

68/172 = 43/123
0.395 = 0.349......nope, not proportional




6 0
3 years ago
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