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3 years ago

Answer these questions please:

Mathematics

1 answer:

Anastaziya [24]3 years ago

4 0

Answer:

Step 1, 4=3(d+1)-5 should be 4=3d+3-5

Step-by-step explanation:

You might be interested in

A student stands on a bathroom scale that uses the U.S. system of units. Which

skad [1K]

Answer: 85 pounds,

Step-by-step explanation: Americans don't use the other things to measure weight.

5 0

3 years ago

write an equation in slope-intercept form for the line that has a slope of 4 and passes through the point (3,24)

Harman [31]

Answer:

y = 4x + 12

Step-by-step explanation:

y = mx + b

'm' represents slope

'b' represents the y-intercept

use the slope and the point (3,24) as your x and y inputs to find 'b'

24 = 4(3) + b

24 = 12 + b

b = 12

y = 4x + 12

4 0

3 years ago

a consumer magazine counts the number of tissues per box in a random sample of 15 boxes of No- Rasp facial tissues. The sample s

Alex

Answer:

95% confidence interval for the population variance of the number of tissues per box is [5043.11 , 23401.31].

Step-by-step explanation:

We are given that a consumer magazine counts the number of tissues per box in a random sample of 15 boxes of No- Rasp facial tissues. The sample standard deviation of the number of tissues per box is 97.

Firstly, the pivotal quantity for 95% confidence interval for the population variance is given by;

P.Q. = $\frac{(n-1)s^{2} }{\sigma^{2} }$ ~ $\chi^{2}__n_-_1$

where, $s^{2}$ = sample variance = $97^{2}$ = 9409

n = sample of boxes = 15

$\sigma^{2}$ = population variance

Here for constructing 95% confidence interval we have used chi-square test statistics.

So, 95% confidence interval for the population variance, $\sigma^{2}$ is ;

P(5.629 < $\chi^{2}__1_4$ < 26.12) = 0.95 {As the critical value of chi-square at 14

degree of freedom are 5.629 & 26.12}

P(5.629 < $\frac{(n-1)s^{2} }{\sigma^{2} }$ < 26.12) = 0.95

P( $\frac{5.629 }{(n-1)s^{2} }$ < $\frac{1}{\sigma^{2} }$ < $\frac{26.12 }{(n-1)s^{2} }$ ) = 0.95

P( $\frac{(n-1)s^{2} }{26.12 }$ < $\sigma^{2}$ < $\frac{(n-1)s^{2} }{5.629 }$ ) = 0.95

95% confidence interval for $\sigma^{2}$ = [ $\frac{(n-1)s^{2} }{26.12 }$ , $\frac{(n-1)s^{2} }{5.629 }$ ]

= [ $\frac{14 \times 9409 }{26.12 }$ , $\frac{14 \times 9409 }{5.629 }$ ]

= [5043.11 , 23401.31]

Therefore, 95% confidence interval for the population variance of the number of tissues per box is [5043.11 , 23401.31].

6 0

3 years ago

Anyone wanna be mutuals?

VARVARA [1.3K]

Answer:

I'm a girl too but you seem pretty cool lol I'm sure someone will be interested :D And I wish you the best of luck

Step-by-step explanation:

5 0

3 years ago

Find the value of k if: (2x − y)² − (2x + y)² = 4xyk

Viefleur [7K]

Answer:

k = - 2

Step-by-step explanation:

( 2x - y )²

Formula : -

( a - b )² = a² + b² - 2ab

Here,

a = 2x

b = y

( 2x - y )²

= ( 2x )² + y² - 2 ( 2x ) ( y )

= 4x² + y² - 4xy

So,

( 2x - y )² = 4x² + y² - 4xy

( 2x + y )²

Formula : -

( a + b )² = a² + b² + 2ab

Here,

a = 2x

b = y

( 2x + y )²

= ( 2x )² + y² + 2 ( 2x ) ( y )

= 4x² + y² + 4xy

So,

( 2x + y )² = 4x² + y² + 4xy

( 2x - y )² - ( 2x + y )²

= 4x² + y² - 4xy - ( 4x² + y² + 4xy )

= 4x² + y² - 4xy - 4x² - y² - 4xy

= 4x² - 4x² + y² - y² - 4xy - 4xy

= 0 + 0 - 8xy

= - 8xy

( 2x - y )² - ( 2x + y )² = 4xyk

- 8xy = 4xyk

Divide 4xy on both sides,

- 8xy / 4xy = 4xyk / 4xy

- 2 = k

k = - 2

Therefore, the value of k is - 2.

6 0

2 years ago