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2 years ago

Find the reciprocal of.

Mathematics

2 answers:

antiseptic1488 [7]2 years ago

8 0

Answer:

a. $3$

b. $\frac{8}{7}$

c. $\frac{3}{8}$

d. $\frac{1}{5}$

e. $\frac{6}{37}$

Step-by-step explanation:

a. $\frac{1}{3}$

Just flip the fraction , you will get:

$= \frac{3}{1}$

$= 3$

b. $\frac{7}{8}$

flip the fraction

$= \frac{8}{7}$

c. $2 \frac{2}{3}$

The first thing you have to do is that convert mixed fraction into improper fraction

$\frac{8}{3}$

Flip the fraction

$= \frac{3}{8}$

d. $5$

flip the fraction

$= \frac{1}{5}$

e. $6 \frac{1}{6}$

Convert mixed fraction into improper fraction

$= \frac{37}{6}$

Flip the fraction in order to get reciprocal

$= \frac{6}{37}$

Hope this helps...

Best regards!!

alexandr402 [8]2 years ago

4 0

Answer:

a) 3/1 that is 3

b) 8/7

c) the mixed fraction is converted into simple fraction: 3*2+2/3 = 8/3

therefore the reciprocal is 3/8

d) 1/5

e) the mixed fraction is converted into simple fraction: 6*6+1/6 = 37/6

therefore the reciprocal is 6/37.

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Answer:

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Step-by-step explanation:

a) Each equation is in standard form:

(x -h)^2 + (y -k)^2 = r^2

so the first circle has radius √25 = 5, and the second circle has radius √100 = 10. The radii of the circles are 5 and 10.

b) The center-to-center distance can be found from the distance formula:

d = √((x2-x1)^2 +(y2-y1)^2) = √((9-0)^2 +(12-0)^2) = √(81 +144)

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3 years ago

A candy factory that produces chocolate bars claims each bar weighs 50 grams, at least that is what is printed on the label. Of

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Answer:

Question 1

The correct option is A

Question two

The correct option is B

Question three

$SE= 0.5$

Question four

$z = - 3$

Question five

The correct option is A

Step-by-step explanation:

The population mean is $\mu = 50 \ grams$

The sample size is n = 16

The population size is N = 4000

The sample mean is $\= x = 48.5 \grams$

The standard deviation is $s = 2 \ gram(s)$

Considering the first question

The correct option is A

z test because the SD of the population is known and the weights follow the normal curve

Considering the second question

The correct option is B

Yes, because with only 20 observations the sample SD is not a great estimate of the true population SD.

Considering the third question

Generally the standard error is mathematically represented as

$SE= \frac{s }{\sqrt{n} }$

=> $SE= \frac{2 }{\sqrt{16} }$

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The null hypothesis is $H_o : \mu = 50$

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Generally the test statistics is mathematically represented as

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=> $z = \frac{ 48.5 - 50 }{ 0.5}$

=> $z = - 3$

Generally the p-value is mathematically represented as

$p-value = P(Z < z )$

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From the z-table the

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From the obtained values we see that

$p-value < \alpha$

So we reject the null hypotheses

The conclusion

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