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lisov135 [29]
3 years ago
7

Ally is making a fruit punch using 48 ounces of grape juice and some seltzer water. She wants to make 10 equal servings that are

at least 9 ounces each. Should she add 32 or 48 ounces of seltzer water? Explain. PLEASE ANSWER THIS!!
Mathematics
2 answers:
yaroslaw [1]3 years ago
6 0
She should add 48 ounces of of seltzer water because it will allow at least 10 servings. 32 ounces would only be enough to make 8.88 servings
Maksim231197 [3]3 years ago
6 0

Answer:

49

Step-by-step explanation:

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What is 12.5% written as a fraction in simplest form
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12.5% goes to .125
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\frac{1}{8}
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A fabric store cut 2,160 inches of ribbon into 12 pieces. how many yards long was each piece?
suter [353]
2160 inches into 12 pieces.

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1 piece = 2160 / 12 = 180 inches.

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4 years ago
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Assume that random guesses are made for seven multiple choice questions on an SAT​ test, so that there are nequals7 ​trials, eac
Ket [755]

Answer:

P(X < 4)=0.1335+0.3115+0.3115+0.1730=0.9295

Step-by-step explanation:

Question assumed: Find the probability that the number x of correct answers is fewer than 4.

1) Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

2) Solution to the problem

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=7, p=0.25)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

And we want to find this probability:

P(X < 4)=P(X=0)+P(X=1)+P(X=2)+P(X=3)

P(X=0)=(7C0)(0.25)^0 (1-0.25)^{7-0}=0.1335

P(X=1)=(7C1)(0.25)^1 (1-0.25)^{7-1}=0.3115

P(X=2)=(7C2)(0.25)^2 (1-0.25)^{7-2}=0.3115

P(X=3)=(7C3)(0.25)^3 (1-0.25)^{7-3}=0.1730

P(X < 4)=0.1335+0.3115+0.3115+0.1730=0.9295

3 0
4 years ago
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