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andreyandreev [35.5K]
3 years ago
8

A recipe for lemonade calls for ½ quarts of lemon juice and ¾ cups of sugar. How much lemon juice is needed for 7.5 cups of suga

r?
Mathematics
1 answer:
Ugo [173]3 years ago
5 0

Answer:

5

Step-by-step explanation:

3/4*10=7.5, so 1/2*10 is the amount of lemon juice you need, which is 5

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Sue purchased a $30,000 life insurance policy at the price of $24 for each $1000 of coverage. If she pays the premium in 12 mont
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Cost of life insurance is $30000 at a price of for each $24 for each $1000 of coverage.

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babymother [125]

Answer:

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Step-by-step explanation:

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3 years ago
Blood type AB is the rarest blood type, occurring in only 4% of the population in the United States. In Australia, only 1.5% of
Naddik [55]

Answer:

There is a 27.62% probability that exactly 2 of the U.S. residents have blood type AB.

Step-by-step explanation:

For each U.S. resident, there are only two outcomes possible. Either they have blood type AB, or they do not. This means that we can solve this problem using binomial probability distribution concepts.

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}.\pi^{x}.(1-\pi)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

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

And \pi is the probability of X happening.

In this problem, we have that:

50 U.S residents are sampled, so n = 50

4% of the U.S population has blood type AB, so p = 0.04.

What is the probability that exactly 2 of the U.S. residents have blood type AB?

This is P(X = 2). So:

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

P(X = 2) = C_{50,2}.(0.04)^{2}.(0.96)^{48} = 0.2762

There is a 27.62% probability that exactly 2 of the U.S. residents have blood type AB.

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3 years ago
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Mariulka [41]

Answer:

Option 4

Step-by-step explanation:

Coordinances for a three-dimensional coordinate system are (x, y, z).

The letter labeling each axis is always on the positive side.

The fourth option is correct because you move 3 units away from the 'x', 1 unit away from the 'y', then 2 units toward the 'z'.

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3 years ago
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