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2 years ago

The range of F(x) = logb x is the set of all real numbers. True or false

Mathematics

2 answers:

LiRa [457]2 years ago

5 0

The range of F(x) = logb x is True

Alexeev081 [22]2 years ago

5 0

Answer:

true

Step-by-step explanation:

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40% of Oatypop cereal boxes contain a prize. Hannah plans to keep buying cereal until she gets a prize. What is the probability

aleksley [76]

Answer:

$(0.6)^{n}+n(0.4)(0.6)^{n-1}+\frac{n(n-1)(0.4)^{2}0.6^{n-2}}{2} +\frac{n(n-1)(n-2)0.4^{3}0.6^{n-3}}{6}$

Step-by-step explanation:

We will use the binomial distribution. Let X be the random variable representing the no. of boxes Hannah buys before betting a prize.

Our success is winning the prize, p =40/100 = 0.4

Then failure q = 1-0.4 = 0.6

Hannah keeps buying cereal boxes until she gets a prize. Then n be no. times she buys the boxes.

P(X ≤ 3) = P(X=0) +P(X=1)+P(X=2)+P(X=3)

= $\binom{n}{0}p^{0}q^{n-0}$ + $\binom{n}{1}p^{1}q^{n-1}$ + $\binom{n}{2}p^{2}q^{n-2}$ + $\binom{n}{3}p^{3}q^{n-3}$

= $q^{n}+npq^{n-1}$ + $\frac{n(n-1)(p)^{2}q^{n-2}}{2}$ + $\frac{n(n-1)(n-2)p^{3}q^{n-3}}{6}$

= $(0.6)^{n}+n(0.4)(0.6)^{n-1}+[tex]\frac{n(n-1)(0.4)^{2}0.6^{n-2}}{2} +\frac{n(n-1)(n-2)0.4^{3}0.6^{n-3}}{6}$

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Select option that continues pattern? 3,-6,12,4,20

harkovskaia [24]

The pattern is - 8 so the answer is 12.

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2 years ago

Who else is being stressed of school right now??

Norma-Jean [14]

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Finish your homework first (EVERYTHING) before videogames

Step-by-step explanation:

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Algebra 1 help please

Zielflug [23.3K]

Short leg = ?
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For this you'd need to use the Pythagorean Theorem to find the short leg.

Pythagorean Theorem - a^2 + b^2 = c^2

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Which number is the greatest .09 , .9 , .891 , or .93

Vadim26 [7]

.93 is far greater than the rest.

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