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Zanzabum
3 years ago
6

If 2^x =5, what is 2^3x -4

Mathematics
2 answers:
STALIN [3.7K]3 years ago
8 0
14 is the answer because I just did it got is right
Butoxors [25]3 years ago
4 0

Answer:

121

Step-by-step explanation:

2^{3x} = 2^{x}* 2^{x}*2^{x}

5 * 5 * 5 - 4

125 - 4 = 121

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I don’t understand this question?
Andrej [43]

Answer:

no, because it has a constant rate of change

Step-by-step explanation:

this is because the x and y change at the same rate. non linear means that they dont change at the same rate.

5 0
3 years ago
32​% of college students say they use credit cards because of the rewards program. You randomly select 10 college students and a
Tems11 [23]

Answer:

a) P(X=2)=(10C2)(0.32)^2 (1-0.32)^{10-2}=0.211

b) P(X> 2)=1-P(X\leq 2)=1-[0.0211+0.0995+0.211]=0.668

c) P(2 \leq x \leq 5)=0.211+0.264+0.218+0.123=0.816

Step-by-step explanation:

1) 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".

2) Solution to the problem

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

X \sim Binom(n=10, p=0.32)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

Part a

P(X=2)=(10C2)(0.32)^2 (1-0.32)^{10-2}=0.211

Part b

P(X> 2)=1-P(X\leq 2)=1-[P(X=0)+P(X=1)+P(X=2)]

P(X=0)=(10C0)(0.32)^0 (1-0.32)^{10-0}=0.0211  

P(X=1)=(10C1)(0.32)^1 (1-0.32)^{10-1}=0.0995

P(X=2)=(10C2)(0.32)^2 (1-0.32)^{10-2}=0.211

P(X> 2)=1-P(X\leq 2)=1-[0.0211+0.0995+0.211]=0.668

Part c

P(2 \leq x \leq 5)=P(X=2)+P(X=3)+P(X=4)+P(X=5)

P(X=2)=(10C2)(0.32)^2 (1-0.32)^{10-2}=0.211

P(X=3)=(10C3)(0.32)^3 (1-0.32)^{10-3}=0.264

P(X=4)=(10C4)(0.32)^4 (1-0.32)^{10-4}=0.218

P(X=5)=(10C5)(0.32)^5 (1-0.32)^{10-5}=0.123

P(2 \leq x \leq 5)=0.211+0.264+0.218+0.123=0.816

6 0
3 years ago
Please help with this problems :) and explain because i don't really get it and having trouble in this lesson
Liula [17]
1. 9^4
2. 6^9
3. n^10
4. (a^3)^8
3 0
3 years ago
The sides of a triangle measure 3√6 2√24 7√54 what is the perimeter of the triangle
Sliva [168]

Answer:

Step-by-step explanation:

3*√6 + 2√24 + 7√54= P

3√6 + 2√2*2*6 + 7√3*3*6

3√6 + 2*2√6+7*3√6

3√6 + 4√6 + 21√6

28√6 = the perimeter.

7 0
3 years ago
Tengo que simplificar esta fracción 84/105:<br><br>¡Ayudarme porfavor!
koban [17]

Answer:

Step-by-step explanation:

84/105 = 4/5

5 0
2 years ago
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