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iren [92.7K]
3 years ago
8

Write the equation of a slope intercept form with a slope of 9 and a y-intercept of -3

Mathematics
1 answer:
Usimov [2.4K]3 years ago
3 0

Answer:

y = 9x-3

Step-by-step explanation:

since the slope intercept form is in the y=mx+b form, you just have to plug in the slope for m and the y-intercept for b.

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The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.895 g and a standard deviation
kvasek [131]

Answer:

3.67% probability of randomly seleting 37 cigarettes with a mean of 0.809 g or less.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, we have that:

\mu = 0.895, \sigma = 0.292, n = 37, s = \frac{0.292}{\sqrt{37}} = 0.048

Find the probability of randomly seleting 37 cigarettes with a mean of 0.809 g or less.

This is the pvalue of Z when X = 0.809.

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{0.809 - 0.895}{0.048}

Z = -1.79

Z = -1.79 has a pvalue of 0.0367

3.67% probability of randomly seleting 37 cigarettes with a mean of 0.809 g or less.

5 0
2 years ago
84 times 0.24 using area model
Damm [24]
20.16 hopefully it’s right
6 0
3 years ago
....sigh....<br> Shout out to Taater for being helpful in times of need :3
Ne4ueva [31]

Answer:

Taater is a good friend of mine.

Step-by-step explanation:

The answer would be the third option, hope I'm just as helpful in times of need if its possible to subtract those then it's 100% the first option. Sorry don't exactly know this, so I'm at least trying to help.

3 0
3 years ago
Calculate the value of the marked angle​
Alex
Watch yt bro there’s all the answer
6 0
2 years ago
Read 2 more answers
Selena is flying a kite as shown below. Use the measurements to find how long the kite string is.
zalisa [80]

Answer:

20 feet

Step-by-step explanation:

In this case, you'd use pythagoras's theorem (a^2 + b^2 = c^2)

The hypotenuse is always = c, so you'd set up the equation like this:

16^2 + 12^2 = c^2, where you're solving for c (to find out the length of the kite string)

This equation simplifies to 256 + 144 = c^2

which further simplifies to 400 = c^2

to solve for c, we square root both sides so the c is isolated:

\sqrt{400} = \sqrt{c}

20 = c

so the length of the kite string is 20 feet

3 0
3 years ago
Read 2 more answers
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