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kifflom [539]
2 years ago
10

In a fruit cocktail, for every 30 ml of orange juice you need 20 ml of apple juice and 50 ml of coconut milk. What proportion of

the cocktail is coconut milk?
Give your answer as a fraction in its simplest form.
Mathematics
1 answer:
KengaRu [80]2 years ago
3 0

Answer:

first things first, you need to find out how much juice you have: 30 + 20 + 50 = 100, so 100 ml of juice. all together, the juice is 100%, or 1. separated, the amounts are 30%, 20%, and 50%, therefore the amount of coconut milk in the cocktail you have is 50%, or 1/2.

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Find all solutions to the equation (sinx-cosx)^2=3
Karo-lina-s [1.5K]

Answer:

no solutions

Step-by-step explanation:

Simplify the equation (\sin x-\cos x)^2=3:

\sin^2 x-2\sin x\cos x+\cos ^2x=3,\\ \\ (\sin^2x+\cos^2x)-2\sin x\cos x=3.\\

Since

\sin^2 x+\cos^2 x=1

and

2\sin x\cos x=\sin 2x,

we have

1-\sin 2x=3,\\ \\\sin 2x=-2.

Since \sin 2x cannot be less than -1, this equation has no solutions.

6 0
3 years ago
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We move all terms containing n to the left, all other terms to the right
4n=24
n=24/4
n=6</span>
3 0
3 years ago
State the vertical asymptote of the rational function. f(x) =((x-9)(x+7))/(x^2-4)
Lubov Fominskaja [6]
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So, the vertical asymptotes are x=\pm 2
5 0
3 years ago
Read 2 more answers
The probability of the event​ "have a​ Bachelor's Degree" is ▼ by the occurrence of the event​ "never married", and the probabil
Reika [66]

Answer:

a) Fill in the spaces

The probability of the event "have a Bachelor's Degree" is affected by the occurrence of the event "never married", and the probability of the event "never married" is affected by the occurrence of the event "have a Bachelor's Degree", so the events are not independent.

b) Probability of a woman aged 25 or older having a bachelor's degree and having never married = P(B n NM) = 0.0369

This probability is the probability of the intersect of the two events, 'have bachelor's degree' and 'have never married' for women aged 25 or older.

Step-by-step explanation:

Complete Question

According to a government statistics department, 20.6% of women in a country aged 25 years or older have a Bachelor's Degree; 16.6% of women in the country aged 25 years or older have never married; among women in the country aged 25 years or older who have never married, 22.2% have a Bachelor's Degree; and among women in the country aged 25 years or older who have a Bachelor's Degree, 17.9% have never married. Complete parts a) and (b) below.

(a) Are the events "have a Bachelor's Degree" and "never married"? independent? Explain.

(b) Suppose a woman in the country aged 25 years or older is randomly selected. What is the probability she has a Bachelor's Degree and has never married? Interpret this probability.

Solution

The probability of the event that a woman aged 25 or older has a bachelor's degree = P(B) = 20.6% = 0.206

The probability of the event that a woman aged 25 or older has never married = P(NM) = 16.6% = 0.166

Among women in the country aged 25 years or older who have never married, 22.2% have a Bachelor's Degree.

This means that the probability of having a bachelor's degree given that a woman aged 25 or older have never married is 22.2%.

P(B|NM) = 22.2% = 0.222

And among women in the country aged 25 years or older who have a Bachelor's Degree, 17.9% have never married

This means that the probability of having never married given that a woman aged 25 or older has bachelor's degree is 22.2

P(NM|B) = 17.9% = 0.179

a) To investigate if the two events 'have a bachelor's degree' and 'have never married' are independent for women aged 25 or older.

Two events are said to be independent if the probability of one of them occurring does not depend on the probability of the other occurring. Two events A and B can be proven mathematically to be independent if

P(A|B) = P(A) or P(B|A) = P(B)

For the two events in question,

P(B) = 0.206

P(NM) = 0.166

P(B|NM) = 0.222

P(NM|B) = 0.179

It is evident that

P(B) = 0.206 ≠ 0.222 = P(B|NM)

P(NM) = 0.166 ≠ 0.179 = P(NM|B)

Since the probabilities of the two events do not satisfy the conditions for them to be independent, the two events are not independent.

b) Probability of a woman aged 25 or older having a bachelor's degree and having never married = P(B n NM)

The conditional probability, P(A|B), is given mathematically as

P(A|B) = P(A n B) ÷ P(B)

P(A n B) = P(A|B) × P(B)

or

= P(B|A) × P(A)

Hence,

P(B n NM) = P(NM n B) = P(B|NM) × P(NM) = P(NM|B) × P(B)

P(B|NM) × P(NM) = 0.222 × 0.166 = 0.036852 = 0.0369

P(NM|B) × P(B) = 0.179 × 0.206 = 0.036874 = 0.0369

Hope this Helps!!!

6 0
3 years ago
Which of the following sets of values is a soulution to the following system of liner expressions, 4x+y=24 x-y=-4
aleksandrvk [35]
Hope this helps. I think it's right? haha haven't done this in a while.

7 0
3 years ago
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