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3 years ago

What is the slope of the line shown?

Mathematics

1 answer:

zlopas [31]3 years ago

8 0

Step-by-step explanation:

slope = rise/run or apply slope formula (you can find online or on my insta page)

Topic: coordinate geometry

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

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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

I NEED HELP NOW PLS ASAP

castortr0y [4]

Answer:

Step-by-step explanation:

hello,

I understand that there are only 4 cards and then the player draw a card out of the 4 cards, replace it so the second draw is still out of the 4 cards

How many ways can you draw two cards?

as the first card is replaced, this is 4*4=16

so there is 16 possibles ways

hearts hearts

hearts clubs

hearts diamonds

hearts spades

clubs hearts

clubs clubs

clubs diamonds

clubs spades

diamonds hearts

diamonds clubs

diamonds diamonds

diamonds spades

spades hearts

spades clubs

spades diamonds

spades spades

out of these 16 ways, how many have same colour for both cards?

I assume that there are only two colours Red and Black, so we can have

only 8 ways so the first probability is 8/16 = 1/2

out of these 16 ways, how many are red ace first and black ace?

There are 4 ways so the probability is 4/16 = 1/4

hope this helps

8 0

3 years ago

Read 2 more answers

10) Simplify the expression. 6(4x + 12) – 9x - 18 - 4(-6)

aleksklad [387]

Answer:

$\boxed{\bold{15x+78}}$

Step By Step Explanation:

Apply Rule - (-a) = a

$\bold{6\left(4x+12\right)-9x-18+4\cdot \:6}$

Multiply: 4 · 6 = 24

$\bold{6\left(4x+12\right)-9x-18+24}$

Expand $\bold{6\left(4x+12\right): \ 24x+72}$

= $\bold{24x+72-9x-18+24}$

Simplify $\bold{24x+72-9x-18+24}$

= $\bold{15x+78}$

━ Mordancy ━

4 0

3 years ago

In the diagram shown overline AD and intersect at point E. overline AB and overline CD are parallel . Given the segment length s

Harrizon [31]

Answer:

11.25

Step-by-step explanation:

Since AB and CD are parallel, ∠D is congruent to ∠A and ∠C is congruent to ∠B. Therefore the two triangles are similar by the AA postulate. Now, the corresponding sides are in proportion

Since AE ↔ DE and AB ↔ CD

So, AE/CD = AB/CD

AE/5 = 9/4

AE = 9(5)/4

= 45/4 = 11.25

8 0

3 years ago

Which of the following factors could explain why Dellva Energy had a negative net cash flow last year, even though the cash on i

Dvinal [7]

Answer:

The company sold a new issue of bonds.

Step-by-step explanation:

A new issue of bonds is commonly known as a process or a way by which companies try to acquire a substantial amount of money via bonds selling in a typical bond market. The company, in this case, recorded a negative net cash flow in its balance sheet even with an increase in cash flow because it sold a new issue of bonds.

7 0

3 years ago