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3 years ago

Find 2 irrational no.s between 3 and 4

Mathematics

1 answer:

Free_Kalibri [48]3 years ago

4 0

Answer:

The two rational numbers between 3 and 4 are 3.5 and 3.75. Two irrational numbers between 3 and 4 are √11 and √13.

Step-by-step explanation:

Hope it is helpful.....

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Which expression represents the prime factorization of 108?

bekas [8.4K]

Answer: A. 3 x 3 x 3 x 4

Step-by-step explanation: 3 x 3 = 9 x 3 = 27 x 4 = 108

8 0

3 years ago

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A true-false question is to be posed to a husband and wife team. Both the husband and the wife will give the correct answer with

marysya [2.9K]

Answer:

Choose either strategy both are equally successful

Step-by-step explanation:

Given:-

- The probability of success for both husband (H) and wife (W) are:

P ( W ) = 0.8 , P ( H ) = 0.8

Find:-

- Which of the following is a better strategy for the couple?

Solution:-

Strategy 1

- First note that P ( W ) & P ( H ) are independent from one another, i.e the probability of giving correct answer of husband does not influences that of wife's.

- This strategy poses an event such that either wife knows the answer and answer it correctly or the husband knows and answers in correctly.

- We will assume that probability of either the husband or wife knowing the answer is 0.5 and the two events of knowing and answering correctly are independent. So,

P ( Wk ) = P (Hk) = 0.5

- The event P(S1) is:

P(S1) = P ( Hk & H ) + P ( Wk & W )

P(S1) = 0.5*0.8 + 0.5*0.8

P(S1) = 0.8

- Hence, the probability of success for strategy 1 is = 0.8

Strategy 2

- Both agree , then the common answer is selected otherwise, one of their answers is chosen at random.

- The success of strategy 2, will occur when both agree and are correct, wife is correct and answers while husband is not or husband is correct and he answers.

- The event P(S2) is:

P(S2) = P ( H & W ) + P ( H / W' & Hk ) + P ( H' / W & Wk )

P(S2) = P ( H & W ) + P ( H / W') P ( Hk ) + P ( H' / W) P (Wk)

P(S2) = P ( H & W ) + P ( H / W')*0.5 + P ( H' / W)*0.5

P(S2) = 0.5* [ P ( H & W ) + P ( H / W') ] + 0.5* [ P ( H' / W) + P ( H & W )]

P(S2) = 0.5*P(H) + 0.5*P(W)

P(S2) = 0.5*0.8 + 0.5*0.8

P(S2) = 0.8

- Hence, the probability of success for strategy 2 is = 0.8

Both strategy give us the same probability of success.

4 0

3 years ago

Julie is 3 years older than her sister. Julie's age is 11 years old.<br> How old is her sister?

Ne4ueva [31]

Answer:

14 :)

Step-by-step explanation:

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3 years ago

Verify sin(360° - 0) = -sin0

zaharov [31]

Answer:

see explanation

Step-by-step explanation:

Using the Addition formula for sine

sin(x ± y) = sinxcosy ± cosxsiny

Consider the left side

sin(360 - Θ ), then

= sin360°cosΘ - cos360°sinΘ

= 0 × cosΘ - 1 × sinΘ

= 0 - sinΘ = - sinΘ → verified

6 0

3 years ago

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A study was conducted to measure the effectiveness of hypnotism in reducing pain. The measurements are centimeters on a pain sca

blondinia [14]

The confidence interval for mean of the "before-after" differences is $\fbox{(-0.4037,1.8037)}$

Further explanation:

Find the difference between the before pain and the after pain.

Difference = before-after

Kindly refer to the Table for the difference of between the before and after pain.

Sum of difference = $5.6$

Total number of observation = $8$

Mean of difference = $0.7$

Sample standard deviation $s$ = $1.3201$

Level of significance = $5\%$

Formula for confidence interval = $\left( \bar{X} \pm t_{n-1, \frac{\alpha}{2}\%} \frac{s}{\sqrt{n}} \right)$

confidence interval = $\left( 0.7 \pm t_{8-1, \frac{5}{2}\%} \frac{1.3201}{\sqrt{8}} \right)$

confidence interval = $\left( 0.7 \pm t_{7, \frac{5}{2}\%} \frac{1.3201}{\sqrt{8}} \right)$

From the t-table.

The value of $t_{7, \frac{5}{2}\%$ = $2.365$

Confidence interval = $( 0.7 \pm 2.365}\times \frac{1.3201}{\sqrt{8}}) \right)$

Confidence interval = $\left( 0.7 - 2.365}\times \0.4667,0.7 + 2.365}\times \0.4667) \right$

Confidence interval = $(0.7-1.1037,0.7+1.1037)$

Confidence interval = $\fbox{(-0.4037,1.8037)}$

The $95\%$ confidence interval tells us about that $95\%$ chances of the true mean or population mean lies in the interval.

Yes, the hypnotism appear to be effective in reducing pain as confidence interval include includes the positive deviation from the mean.

Learn More:

1. Learn more about equation of circle brainly.com/question/1506955

2. Learn more about line segments brainly.com/question/909890

Answer Details:

Grade: College Statistics

Subject: Mathematics

Chapter: Confidence Interval

Keywords:

Probability, Statistics, Speed dating, Females rating, Confidence interval, t-test, Level of significance , Normal distribution, Central Limit Theorem, t-table, Population mean, Sample mean, Standard deviation, Symmetric, Variance.

7 0

3 years ago

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