Eric uses 1 3/4 cups of granola for every 1/3 cup of chocolate chips when making a snack mix. Enter the number of

Mathematics

1 answer:

shusha [124]3 years ago

5 0

Answer:

Step-by-step explanation:

Set this up as a proportion with granola on the top and chocolate chips on the bottom:

$\frac{g}{cc}:\frac{1.75}{\frac{1}{3} }=\frac{x}{1}$ and cross multiply to solve for x:

1/3x = 1.75 Multiply both sides by 3 to get

x = 5.25

This means for every 1 cup of chocolate chips, he needs 5 1/4 cups of granola.

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Step-by-step explanation:

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A real estate agent has 19 properties that she shows. She feels that there is a 30% chance of selling any one property during a

netineya [11]

Answer:

$P(X \geq 5)=1-P(X$

We can find the individual probabilities:

$P(X=0)=(19C0)(0.3)^0 (1-0.3)^{19-0}=0.00114$

$P(X=1)=(19C1)(0.3)^1 (1-0.3)^{19-1}=0.0092$

$P(X=2)=(19C2)(0.3)^2 (1-0.3)^{19-2}=0.0358$

$P(X=3)=(19C3)(0.3)^3 (1-0.3)^{19-3}=0.0869$

$P(X=4)=(19C4)(0.3)^4 (1-0.3)^{19-4}=0.1491$

And replacing we got:

$P(X \geq 5) = 1-[0.00114+0.009282+0.0358+0.0869+0.149]= 0.7178$

Step-by-step explanation:

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".

Solution to the problem

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

$X \sim Binom(n=19, p=0.3)$