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adell [148]
3 years ago
12

Of the students who eat in a certain cafeteria, each student either likes or dislikes lima beans and each student either likes o

r dislikes brussels sprouts. Of these students, 2/3 dislike lima beans; and of those who dislike lima beans, 3/5 also dislike brussels sprouts.
How many of the students like brussels sprouts but dislike lima beans?
Mathematics
1 answer:
Volgvan3 years ago
8 0

Answer:

\frac{4}{15} \\

Step-by-step explanation:

number of the students like brussels sprouts but dislike lima beans = number of these students who dislike lima beans - number of students who dislike lima beans and also dislike brussels sprouts

\frac{2}{3}-\frac{3}{5}* \frac{2}{3} = \frac{2}{3}-\frac{6}{15}=\frac{10}{15}-\frac{6}{15}=\frac{4}{15}\\

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Find all complex solutions of 5x^2+5x+3=0.
oksian1 [2.3K]

Answer:

see explanation

Step-by-step explanation:

5x² + 5x + 3 = 0 ← in standard form

with a = 5 , b = 5 , c = 3

Solve using the quadratic formula

x = \frac{-b+/-\sqrt{b^2-4ac} }{2a}

  = \frac{-5+/-\sqrt{5^2-(4(5)(3)} }{2(5)}

  = \frac{-5+/-\sqrt{25-60} }{10}

  = \frac{-5+/-\sqrt{-35} }{10}

  = \frac{-5+/-\sqrt{-1(35)} }{10}

 = \frac{-5+/-i\sqrt{35} }{10}

Then

x = \frac{-5}{10} ± \frac{1}{10} i\sqrt{35} , that is

x = - \frac{1}{2} - \sqrt{x} \frac{1}{10} i\sqrt{35} , - \frac{1}{2} + \frac{1}{10} i\sqrt{35}

5 0
2 years ago
The CDC national estimates that 1 in 68 = 0.0147 children are diagnosed with have been diagnosed with Autism Spectrum Disorder (
kakasveta [241]

Answer:

Null hypothesis: p= 0.0147

Alternative hypothesis: p\neq 0.0147

A type of error II for this case would be FAIL to reject the null hypothesis that the population proportion is equal to 0.0147 when actually the alternative hypothesis is true (the true proportion is different from 0.0147).

Step-by-step explanation:

Previous concepts

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".  

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".  

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".  

Type I error, also known as a “false positive” is the error of rejecting a null  hypothesis when it is actually true. Can be interpreted as the error of no reject an  alternative hypothesis when the results can be  attributed not to the reality.  

Type II error, also known as a "false negative" is the error of not rejecting a null  hypothesis when the alternative hypothesis is the true. Can be interpreted as the error of failing to accept an alternative hypothesis when we don't have enough statistical power.  

Solution to the problem

On this case we want to test if the proportion of children diagnosed with Autism Spectrum Disorder (ASD) is different from 0.0147, so the system of hypothesis would be:

Null hypothesis: p= 0.0147

Alternative hypothesis: p\neq 0.0147

A type of error II for this case would be FAIL to reject the null hypothesis that the population proportion is equal to 0.0147 when actually the alternative hypothesis is true (the true proportion is different from 0.0147).

7 0
3 years ago
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Answer:

A

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Alecsey [184]

여러가지 보이지 않은 벽들 때문에

한 사람의 외로움과 슬픔을 다 담을 순 없지만, 그래서 더 음악에 매달리게 되는 것

그대의 외로움 내가 다 알 수 없지만

내 표정이던 말투던, 목소리던

너를 안아줄 수만 있다면 참 좋겠다.

5 0
2 years ago
Read 2 more answers
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