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Ronch [10]
2 years ago
6

Each time Caroline goes shopping she decides whether or not to buy fruit.

Mathematics
1 answer:
DiKsa [7]2 years ago
5 0

Let event A = Caroline buys fruit, event B = Caroline buys CD, Ac and Bc are complementary events.

Events AB, ABc, AcB and AcBc are jointly exhaustive and disjoint, hence P(AB) + P(ABc) + P(AcB) +P(AcBc) =1.

Events A and B independent, hence Ac and Bc independent too and probability P(AcBc) = P(Ac)*P(Bc) = (1 - P(A))(1-P(B)) = 0.6*0.4 = 0.24.

Required probability P(AB + ABc + AcB ) = P(AB) + P(ABc) + P(AcB) = 1- P(AcBc) = 1 - 0.24 = 0.76.

Answer: Probability that Caroline buys fruit, a CD or both is 0.76.

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A recipe calls for 3/4 cup of butter. Angie wants to triple the recipe, but she has only 1 5/8.
Lyrx [107]
Let's start out by tripling the original recipe to see how much butter Angie needs.

\frac{3}{4} * 3 = total
\frac{3* 3}{4} = total
\frac{9}{4} = total
2 \frac{1}{4} = total

So we need 2 \frac{1}{4} cups of butter, but Angie only has 1 \frac{5}{8}. Let's subtract what Angie has from the total to see how much more she needs.

2 \frac{1}{4}  -  1\frac{5}{8} = n
\frac{9}{4} - \frac{13}{8} = n
we will need the least common denominator for both fractions
\frac{2}{2} *(\frac{9}{4}) - \frac{13}{8} = n
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\frac{5}{8} = n

So Angie need \frac{5}{8} cups more of butter for the recipe.

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Solve the equation 7h-5(3h-9)=-72
STALIN [3.7K]
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Read 2 more answers
5x-y>4 how to solve this one​
Allushta [10]

If you want me to solve for "Y" then, the answer will be,

y  < 5x - 4

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It is advertised that the average braking distance for a small car traveling at 65 miles per hour equals 120 feet. A transportat
katrin2010 [14]

Answer: H_0:\mu=120

H_A:\mu\neq120

Step-by-step explanation:

Let \mu denotes the average braking distance for a population of small car.

Given : It is advertised that the average braking distance for a small car traveling at 65 miles per hour equals 120 feet.

i.e. \mu=120

Objective of test : Whether the statement made in the advertisement is false

i.e.  \mu\neq120

Since '=' signs is contained by Null hypothesis and alternative hypothesis is against it.

So the null and the alternative hypotheses for the test will be:

H_0:\mu=120

H_A:\mu\neq120

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