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3 years ago

Why is k=10 as the constant rate?

1 answer:

8 0

Be k will keep going up 10 each time and with that 10 will be the rate and if it goes up by the same number each time then it is identified as a constant rate, hope this helped:)

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The distribution of weights of potato chip bags filled off a production line is unknown. However, the mean is m=13.35 OZs and th

Nikitich [7]

Answer:

a) $\mu_{\bar X} =13.35$

e.none of the above

b) $\sigma_{\bar X}= \frac{0.12}{\sqrt{36}}= 0.02$

a.0.0200

c) $z = \frac{13.32-13.35}{\frac{0.12}{\sqrt{36}}}= -1.5$

$P(\bar X< 13.32)= P(z$

a.0.0668

d) $z = \frac{13.30-13.35}{\frac{0.12}{\sqrt{36}}}= -2.5$

$z = \frac{13.36-13.35}{\frac{0.12}{\sqrt{36}}}= 0.5$

$P(13.30$

c.0.6853

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".

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

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:

$X \sim N(13.35,0.12)$

Where $\mu=13.35$ and $\sigma=0.12$

From the central limit theorem we know that the distribution for the sample mean $\bar X$ is given by:

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

Part a

$\mu_{\bar X} =13.35$

Part b

$\sigma_{\bar X}= \frac{0.12}{\sqrt{36}}= 0.02$

Part c

We want this probability:

$P(\bar X< 13.32)$

For this case we can use the z score formula given by:

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

And using this formula we got:

$z = \frac{13.32-13.35}{\frac{0.12}{\sqrt{36}}}= -1.5$

$P(\bar X< 13.32)= P(z$

Part d

We want this probability:

$P(13.30$

For this case we can use the z score formula given by:

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

And using this formula we got:

$z = \frac{13.30-13.35}{\frac{0.12}{\sqrt{36}}}= -2.5$

$z = \frac{13.36-13.35}{\frac{0.12}{\sqrt{36}}}= 0.5$

$P(13.30$

8 0

3 years ago

△ACD∼△GHD , m∠ADC=23∘ , and m∠C=31∘ . Two similar triangles. The first triangle has vertices DAC. Angle A is an obtuse angle. Th

iVinArrow [24]

Answer:

126°

Step-by-step explanation:

The sum of angles in a triangle is 180°. Corresponding angles C and H of the similar triangles have the same measure, so you have ...

... ∠G + ∠H + ∠D = 180°

... ∠G + 31° +23° = 180° . . . . . . . subtract the numbers on the left to find ∠G

... 180° -54° = ∠G = 126°

7 0

3 years ago

Find the sum. 8 + -1 + -5 A. 2 B. 14 C. -2 D. 16

Yanka [14]

Answer:

Step-by-step explanation:

-1 0 1 2 3 4 5 6 7 8 9

1. 2. 3. 4 5 6 7 8 therefore its 7

-5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9

1. 2. 3. 4. 5 6 7 so the answer is a 2

7 0

2 years ago

Read 2 more answers

Find the sample standard deviation of the following data set, using the statistical functions on your calculator.0.2315 0.4725 0

Nonamiya [84]

Answer:

Option C) 0.2358

Step-by-step explanation:

We are given the following data set:

0.23105, 0.4725, 0.8765, 0.4865, 0.5326, 0.7976

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{3.39675}{6} = 0.566125$

Sum of squares of differences = 0.1122752556 + 0.008765640625 + 0.09633264063 + 0.006340140625 + 0.001123925625 + 0.05358067562 = 0.2784182787

$S.D = \sqrt{\frac{0.2784182787}{5}} = 0.2358$

Thus, the standard deviation for given data is

Option C) 0.2358

7 0

2 years ago

Which of the following exponential functions represent the graph?

sdas [7]

Answer:

dodndbdie9ejrnfudowp2ejdnsmwo2oeidndndoep

5 0

2 years ago