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3 years ago

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Finn bought 2 packs of stickers. Each pack had the same number of stickers. A friend gave him 4 more stickers. Now he has 24 sti

ckers in all. How many stickers were in each pack. Explain how you solved it.

2 answers:

butalik [34]3 years ago

5 0

Let the number of stickers in each pack be 'x'

Finn bought 2 packs of stickers.

Number of stickers in 2 packs = $2 \times x$ = 2x

According to the question, a friend gave him 4 more stickers and now he has 24 stickers in all.

Therefore, $2x+4=24$

$2x=24-4$

$2x=20$

x = 10

Therefore, number of stickers in each pack are 10.

frosja888 [35]3 years ago

4 0

24-4=20
20/2=10
10 stickers in each pack

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Answer:

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Step-by-step explanation:

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Since 3-pointers and free throws are independent, first we find the probability of making exactly 3 3-pointers out of 10, then the probability of making exactly 5 free throws out of 10, and then the probability that the player will make exactly 3 3-pointers and 5-free throws is the multiplication of these probabilities.

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The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

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

And p is the probability of X happening.

Probability of making 3 3-pointers out of 10:

The chances of a basketball player hitting a 3-pointer shot is 0.4, which means that $p = 0.4$ . So this is $P(X = 3)$ when $n = 10$ .

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

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Probability of making 5 free throws out of 10:

The probability of hitting a free-throw is 0.65, which means that $p = 0.65$ . The probability is $P(X = 5)$ when $n = 10$ .

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0.0334 = 3.34% probability that the player will make exactly 3 3-pointers and 5-free throws.

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Answer:

B

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We are given the function:

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Let this value equal <em>a</em>. In other words:

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Then by the definition of inverse functions:

$\displaystyle \text{If } f^{-1}(225) = a\text{, then } f(a) = 225$

Hence:

$\displaystyle f(a) =225 = (a)^2 + 12(a) + 36$

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Thus, f(9) = 225. Consequently, f⁻¹(225) = 9.

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d)

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3 years ago