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3 years ago

Please helppppp it’s due soon and I’m already failing my class!!!

Mathematics

1 answer:

Margarita [4]3 years ago

8 0

Answer:

For an equation like:

y = a*x + b

a is the slope, and this is the rate of change of the function.

For the case of the problem, we know that the equation represents the amount of oxygen in the spaceship as a function of time. Where as the time passes, the quantity of oxygen decreases.

Then the slope is the rate of change that tells how the quantity of oxygen changes as time passes. Then the slope is the amount of oxygen that is consumed per unit of time.

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An aptitude test has a mean score of 80 and a standard deviation of 5. The population of scores is normally distributed. What pr

konstantin123 [22]

Answer:

2.28% of tests has scores over 90.

Step-by-step explanation:

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.

In this problem, we have that:

$\mu = 80, \sigma = 5$

What proportion of tests has scores over 90?

This proportion is 1 subtracted by the pvalue of Z when X = 90. So

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

$Z = \frac{90 - 80}{5}$

$Z = 2$

$Z = 2$ has a pvalue of 0.9772.

So 1-0.9772 = 0.0228 = 2.28% of tests has scores over 90.

8 0

3 years ago

Suppose that the number of bacteria in a certain population increases according to an exponential growth model. A sample of 2600

melisa1 [442]

Answer: There is 3.994% continuous growth rate per hour.

Step-by-step explanation:

Since we have given that

Initial bacteria = 2600

After two and a half hours,

Number of bacteria = 2873

We need to find the continuous growth rate per hour.

As we know the equation for continuous growth rate per hour.

$y=y_0e^{rt}\\\\2873=2600e^{2.5r}\\\\\dfrac{2873}{2600}=e^{2.5r}\\\\1.105=e^{2.5r}\\\\\text{Taking log on both the sides}\\\\\ln 1.105=2.5r\\\\0.0998=2.5r\\\\r=\dfac{0.0998}{2.5}\\\\r=0.0399\times 100\\\\r=3.994\%$

Hence, there is 3.994% continuous growth rate per hour.

3 0

4 years ago

If the total income generated from gasoline for AER was $408 million how much would be the cost for a barrel of gasoline, gasoli

Mazyrski [523]

The problem statement appears to be trying to tell you that 60 million barrels of crude were processed, resulting in 34% of that volume being turned into gasoline, which was then sold for a total of $408 million. You are asked for the revenue associated with 1 barrel of gasoline.

($408·10^6)/(60·10^6 bbl × 0.34) = $408/(20.4 bbl) = $20/bbl

The income from one barrel of gasoline is $20.00.

3 0

3 years ago

Read 2 more answers

What is the answer?????

Vlad [161]

Answer:

< 1 = 88

< 2 = 92

Step-by-step explanation:

First add 4x - 4 + 4x = 180

X = 23

4(23) - 4 = 88

4(23) = 92

3 0

3 years ago

How do you convert length to cm, in, ml etc.

UNO [17]

Answer:

Use an online converter but there is something you should know

Step-by-step explanation:

There are two systems of measurement. The Imperial system (inch, mile, cups, ounces) and the Metric system (millimeter, centimeter, gram, kilogram).

Converting measurements in the imperial system by memory is very hard, but converting measurements in the metric system is more simple.

It is easier to learn by images so here is an image that explains it

Keep in mind that measurements like inches and centimeters are for distance, while gram and ounces are for weight.

4 0

3 years ago