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Umnica [9.8K]
2 years ago
11

Tell whether 24 is a factor or multiple

Mathematics
1 answer:
padilas [110]2 years ago
8 0

-- 24 is a factor of itself and every multiple of 24 .
   There are an infinite number of them.

-- 24 is a multiple of each of its factors.
   The factors of 24 are  1,  2,  3,  4,  6,  8,  12,  and  24 .

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According to an​ article, 47​% of adults have experienced a breakup at least once during the last 10 years. Of 9 randomly select
In-s [12.5K]

Answer:

a) P(X=5)=(9C5)(0.47)^5 (1-0.47)^{9-5}=0.228

b) P(X=0)=(9C0)(0.47)^0 (1-0.47)^{9-0}=0.0033

And replacing we got:

P(X \geq 1)= 1-P(X

c) P(X=4)=(9C4)(0.47)^4 (1-0.47)^{9-4}=0.257

P(X=5)=(9C5)(0.47)^5 (1-0.47)^{9-5}=0.228

P(X=6)=(9C6)(0.47)^6 (1-0.47)^{9-6}=0.135

And adding we got:

P(4 \leq X \leq 6)= 0.257+0.228+0.135=0.620

Step-by-step explanation:

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".

Solution to the problem

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

X \sim Binom(n=9, p=0.47)

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!}

Assuming the following questions:

a. exactly five

For this case we can use the probability mass function and we got:

P(X=5)=(9C5)(0.47)^5 (1-0.47)^{9-5}=0.228

b. at least one

For this case we want this probability:

P(X \geq 1)

And we can use the complement rule and we got:

P(X \geq 1)= 1-P(X

P(X=0)=(9C0)(0.47)^0 (1-0.47)^{9-0}=0.0033

And replacing we got:

P(X \geq 1)= 1-P(X

c. between four and six, inclusive.

For this case we want this probability:

P(4 \leq X \leq 6)

P(X=4)=(9C4)(0.47)^4 (1-0.47)^{9-4}=0.257

P(X=5)=(9C5)(0.47)^5 (1-0.47)^{9-5}=0.228

P(X=6)=(9C6)(0.47)^6 (1-0.47)^{9-6}=0.135

And adding we got:

P(4 \leq X \leq 6)= 0.257+0.228+0.135=0.620

6 0
3 years ago
How many solutions exist for the given equation 3x+13=3(x+6)+1 zero one two infinity many
Helen [10]

Answer:

Zero

Step-by-step explanation:

Given: 3x+13=3(x+6)+1

Step 1: Expand

3x+13=3x+19

Step 2: Subtract 3 from both sides

3x+13-13=3x+19-13

Step 3: Simplify

3x=3x+6

Step 4: Subtract 3x from both sides

3x-3x=3x-3x+6

Step 5: Simplify

0=6

NO REAL SOLUTIONS

Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?  

3 0
2 years ago
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Answer:

Hi, please provide a photo or options to pick from. I will answer then.

Step-by-step explanation:

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3 years ago
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The product of 7 and p
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The product means to multiple
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3 years ago
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In a triangle, the largest angle is always opposite the (Blank) and the smallest angle is always opposite the (Blank) .
Shtirlitz [24]

Answer:

the largest angle is opposite the largest side and the shortest angle is opposite the shortest side

Step-by-step explanation:

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