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3 years ago

∠7= what degree does this equal

Mathematics

1 answer:

IceJOKER [234]3 years ago

3 0

whats the shape or whatever it is

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A nutrition laboratory tested 25 "reduced sodium" hotdogs of a certain brand, finding that the mean sodium content is 310 mg wit

inessss [21]

Answer:

The 95% confidence interval is $295.9 < \mu< 324.1$

A 95% level of confidence mean that there is 95% chance that the true population mean will be in this interval

Step-by-step explanation:

From the question we are told that

The sample size is $n = 25$

The mean is $\= x = 310 \ mg$

The standard deviation is $\sigma = 36 \ mg$

Given that the confidence level is 95% then the level of significance is mathematically represented as

$\alpha = 100 - 95$

=> $\alpha = 5\%$

=> $\alpha = 0.05$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the normal distribution table , the value is

$Z_{\frac{\alpha }{2} } =Z_{\frac{0.05 }{2} } = 1.96$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }$

substituting values

$E = 1.96 * \frac{36 }{\sqrt{25} }$

$E = 14.1$

The 95% level of confidence interval is mathematically represented as

$\= x - E < \mu$

substituting values

$310- 14.1 < \mu< 310+ 14.1$

$295.9 < \mu< 324.1$

The 95% level of confidence mean that there is 95% chance that the true population mean will be in this interval

6 0

3 years ago

Factorise a.x3+4.a.x

Contact [7]

Answer:

${ax}^{3} + 4ax \\$

factorise out a and x :

${ \boxed{answer{= ax( {x}^{2} + 4) }}}\\ but \: farther \: more : \\ = ax( {x}^{2} + {2}^{2} )$

but from general factorization:

${ \boxed{( {a}^{2} + {b}^{2}) = {(a + b)}^{2} - 2ab }}$

a » x

b » 2

therefore:

$= ax \{ {(x + 2)}^{2} - 2(x)(2) \} \\ \\ = { \boxed{ \boxed{ax( {x + 2)}^{2} - 4x }}}$

4 0

3 years ago

PLEASE HELP

CaHeK987 [17]

Answer:

He must sell 800 bushels.

Step-by-step explanation:

Divide 2400 by 3, giving you 800.

3 0

3 years ago

Read 2 more answers

1.17-0.07a+(-3.92a) please help asap

Dovator [93]

Answer:

1.17-3.99a

Step-by-step explanation:

You can only combine like terms and 1.17 is not a like term to -0.07a and -3.92a

So you can only combine the like terms

4 0

3 years ago

Please help me with the question

ivanzaharov [21]

Answer:

Step-by-step explanation:

Since it's at the same time of the day, the ratio between the height of the person and the shadow they cast will stay the same. So the man's height to shadow ratio is 6:8 = 3:4. The son's height to shadow ratio would be the same so x:4 = 3:4 therefore his height is 3 feet.

4 0

2 years ago