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3 years ago

A store sells cheese in half a pound package a recipe calls fpr 1.72 pound of cheese how many packages does the chef need

Mathematics

1 answer:

Sedbober [7]3 years ago

4 0

Answer:

4 packages

Step-by-step explanation:

Since the store sells by 1/2 packages, we have to round 1.72 UP to 2.00. Then we multiply 1/2pound by 4= 2.00 pounds

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There are 7 acts in a talent show.

lara31 [8.8K]

Answer:

Event A: 1/35

Event B: 1/840

Explanation:

Event A

For the event A, the order of the first 4 acts does not matter.

The number of different four acts taken from a set of seven acts, when the order does not matter, is calculated using the concept of combinations.

Thus, the number of ways that the first four acts can be scheduled is:

$C(m,n)=\dfrac{m!}{n!(m-n)!}$

$C(7,4)=\dfrac{7!}{4!(7-4)!}=\dfrac{7!}{4!(3)!}=35$

And the number of ways that four acts is the singer, the juggler, the guitarist, and the violinist, in any order, is 1: C(4,4).

Therefore the probability of Event A is:

$P(A)=1/35$

Event B

Now the order matters. The difference between combinations and permutations is ordering. When the order matters you need to use permutations.

The number of ways in which four acts can be scheculed when the order matters is:

$P(m,n)=\dfrac{m!}{(m-n)!}$

$P(m,n)=\dfrac{7!}{(7-4)!}=P(m,n)=\dfrac{7!}{4!}=840$

The number of ways the comedian is first, the guitarist is second, the dancer is third, and the juggler is fourth is 1: P(4,4)

Therefore, the probability of Event B is:

$P(B)=1/840$

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3 years ago

What number has exactly 6 factors

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Answer:

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Step-by-step explanation:

We have been given the expression $\frac{2^5}{8}=2^2$

8 can be rewritten as $2^3$

Hence, the given expression becomes

$\frac{2^5}{2^3}=2^2$

After subtracting the exponents on left hand side of the equation we get:

$2^2=2^2$

we can do it by simplifying 8 to $2^3$ to make both powers base two, and subtracting the exponents.

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