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Naya [18.7K]
3 years ago
15

Suppose b is any integer. If b mod 12 = 5, then 7b mod 12

Mathematics
1 answer:
Rzqust [24]3 years ago
8 0

The result follows directly from properties of modular arithmetic:

b\equiv5\pmod{12}\implies 7b\equiv35\equiv-1\equiv\boxed{11}\pmod{12}

That is,

b\equiv5\pmod{12}

means we can write b=12n+5 for some integer n. Then

7b=7(12n+5)=12(7n)+35

and taken mod 12, the first term goes away, so

7b\equiv35\pmod{12}

etc

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Use z scores to compare the given values.
Effectus [21]

Answer:

The answer is given below

Step-by-step explanation:

Z score is used to measure by how many standard deviations the raw score is above or below the mean. It is given by the formula:

z=\frac{x-\mu}{\sigma}\\ \\Where\ \mu=mean, x=raw\ score, \sigma=standard\ deviation

For the male:

μ = 3259.8 g, σ = 869.7 g

Hence for a male who weighs 1600 g, the z score is:

z=\frac{x-\mu}{\sigma} =\frac{1600-3259.8}{869.7}=-1.91

For the female:

μ = 3000.9 g, σ = 550.8 g

Hence for a female who weighs 1600 g, the z score is:

z=\frac{x-\mu}{\sigma} =\frac{1600-3000.9}{550.8}=-2.54

Since the z score for the male is z= -1.91 and the z score for the female is z= -2.54 the  male has the weight that is more extreme.

6 0
2 years ago
In an election the successful candidate registered 5,77,500 votes and his nearest rival secured 3,48,700 votes by what margin di
Sav [38]

Answer:

the successful candidate won the election with a 24% margin.

Step-by-step explanation:

With the infomation provided, first you need to find the total amount of votes by adding the number of votes that the successful candidate registered plus the number of votes that his nearest rival secured:

577,500+ 348,700=926,200

Next, you need to find the percentage of votes that the successful candidate registered and that the nearest rival secured by dividing the number of votes by the total amount of votes and multiplying the result for 100:

577,500/925,200=0.62*100=62%

348,700/926,200=38%

Now, you need to find the difference between both percentages to get the margin:

62%-38%=24%

According to this, the answer is that the successful candidate won the election with a 24% margin.

8 0
2 years ago
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I think the answer is B. Or A.
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sergey [27]
<T = 45°

Hope this helps!! :)
5 0
3 years ago
Read 2 more answers
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Answer:

x intercept is (-15,0)

Step-by-step explanation:


6 0
2 years ago
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