6. Matthew is planning to build a right triangular

Katherine bought a total of 14/16 pound of blue beads and silver beads at the store. The weight of the blue beads is 6/8 of the

nadya68 [22]

Answer:

Answer D

Step-by-step explanation:

Because you need to find a common denominator 6x2=12 8x2=16 so it 12/16

3 0

1 year ago

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Tatooine is a fictional desert planet that appears in the Star Wars franchise. It is home to many settlers, including humans. Le

Dovator [93]

Answer:

a) For this case we select a sample size of n =9. And the distribution for the sample mean is given by:

$\bar X \sim N (\mu , \sqrt{\frac{\sigma}{\sqrt{n}}})$

With the following parameters:

$\mu_{\bar X}= 96$

$\sigma_{\bar X} = \frac{23.3}{\sqrt{9}} =7.767$

b) $P(95< \bar X < 100)$

And we can use the z score formula given by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And if we find the z score for the limit we got:

$z = \frac{95-96}{\frac{23.3}{\sqrt{9}}}= -0.129$

$z = \frac{100-96}{\frac{23.3}{\sqrt{9}}}= 0.515$

$P( -0.129 < Z< 0.515) = P(Z$

The sketch is on the figure attached

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

$X \sim N(96,23.3)$

Where $\mu=96$ and $\sigma=23.3$

Part a

For this case we select a sample size of n =9. And the distribution for the sample mean is given by:

$\bar X \sim N (\mu , \sqrt{\frac{\sigma}{\sqrt{n}}})$

With the following parameters:

$\mu_{\bar X}= 96$

$\sigma_{\bar X} = \frac{23.3}{\sqrt{9}} =7.767$

Part b

For this case we want this probability:

$P(95< \bar X < 100)$

And we can use the z score formula given by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And if we find the z score for the limit we got:

$z = \frac{95-96}{\frac{23.3}{\sqrt{9}}}= -0.129$

$z = \frac{100-96}{\frac{23.3}{\sqrt{9}}}= 0.515$

$P( -0.129 < Z< 0.515) = P(Z$

The sketch is on the figure attached

3 0

1 year ago

Last week, Lindsay earned $10 per hour plus a $60 bonus for good job performance. She spends StartFraction 1 Over 15 EndFraction

V125BC [204]

Answer:

StartFraction 1 Over 15 EndFraction left-parenthesis 10 h plus 60 right-parenthesis equals StartFraction 1 Over 10 Endfraction left-parenthesis 10 h right-parenthesis

Step-by-step explanation:

The desired equation equates 1/15 of the amount Lindsay earned with 1/10 the amount without the bonus:

StartFraction 1 Over 15 EndFraction left-parenthesis 10 h plus 60 right-parenthesis equals StartFraction 1 Over 10 Endfraction left-parenthesis 10 h right-parenthesis

_____

<em>Comment on the form of the answer</em>

If you don't like answers in this form, please do not post questions in this form. Ordinary math symbols are much appreciated.

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1 year ago

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Paul makes a base monthly salary of $1500.As a vendor,he must sell %19000 worth of items per month.He also makes a 6% commission

Orlov [11]

Answer:

$3000

Step-by-step explanation:

3 0

1 year ago

Janis and Susan went to a clearance sale at a clothing store. All blouses were selling for the same price and all skirts were se

pentagon [3]

Step-by-step explanation:

Option D is the correct answer

Because if the blouse is of 8 dollars then 4 blouses = 32 and skirt = 12 so 3 skirts = 36

36 + 32 = 68

Susan bought 6 blouses = 8 x 6 = 48

3 skirts = 12 x 3 = 36

48 + 36 = 84

6 0

1 year ago