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romanna [79]
3 years ago
15

The inhabitants of the island of jumble use the standard kobish alphabet ($20$ letters, a through t). each word in their languag

e is $4$ letters or less, and for some reason, they insist that all words contain the letter a at least once. how many words are possible?
Mathematics
1 answer:
max2010maxim [7]3 years ago
4 0
We know that

<span>1. The number of all 4-letter words written using the alphabet of 20 symbols (from A to T) is 
20</span><span>^4=160,000
</span><span>
 2. The number of all 4-letter words written using the alphabet of 19 symbols (from B to T) is 
19</span><span>^4=130,321
</span><span>
 3. The difference represents exactly the number of all words of the inhabitants of the island of Jumble
difference=</span>(160,000-130,321)= 29679.

the answer is
29679
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Answer:

The null and alternative hypotheses are:

H_{0}:\mu=75

H_{a} : \mu>75

Under the null hypothesis, the test statistic is:

t=\frac{\bar{x}-\mu}{\frac{s}{\sqrt{n}} }

Where:

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s=9.8206 is the sample standard deviation

n=10 is the sample size

\therefore t= \frac{83-75}{\frac{9.8206}{\sqrt{10}} }

         =2.58

Now, we can find the right tailed t critical value at 0.01 significance level for df = n-1 = 10 - 1 = 9 using the t distribution table. The t critical value is given below:

t_{critical} =2.821

Since the test statistic is less than the t critical value, we therefore, fail to reject the null hypothesis and conclude that there is not sufficient evidence to support the claim that the people do better with the new edition.

7 0
3 years ago
I was walking to the store at the same time as my friend Angela. No matter what, She has always gotten there twice as fast as me
atroni [7]
Let's call your speed "a"

her walking speed is then "2a"

and her friend's scooter speed is 10 a

let's also call the distance you need to walk "d"

so the time (t)you need is:

d/t=a
t=d/a

and her time is:
 t=\frac{d}{2} /2a+ \frac{d}{2} /10a
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now we count (we know that her time is 30 minutes)

30= \frac{d}{4a}+\frac{d}{20a} //multiply by 20a

600a= 5d+d
600a=6d/divide by 6
100a=d

Now, in order to calculate your time we need to calculate:

t=d/a

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6 0
3 years ago
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VMariaS [17]

Answer:

a) -5x^{2}+3x+27

b) -5x^{2}+3x+9

Step-by-step explanation:

a) Let the required polynomial be p(x).

We have the relation, 5x^{2}-3x-9 + p(x) = 18

i.e. p(x) = 18 -5x^{2}+3x+9

i.e. p(x) = -5x^{2}+3x+27


b) Let the required polynomial be q(x).

We have the relation, 5x^{2}-3x-9 + q(x) = 0

i.e. q(x) = 0 -5x^{2}+3x+9

i.e. q(x) = -5x^{2}+3x+9

3 0
4 years ago
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malfutka [58]
Answer is a. (2,2)
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strojnjashka [21]

Answer:

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Step-by-step explanation:

hope it helps

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