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3 years ago

I need to know how to solve this this function. please help me out

Mathematics

1 answer:

masya89 [10]3 years ago

4 0

To find the average rate of change you do (f (x2)-f (x1))/(x2-x1) it's the slope between the two points it mentions

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Iodine-131, a radioactive substance that is effective in locating brain tumors, has a half-life of only 8 days. A hospital pur

Aloiza [94]

The mass of substance left after 7 days is 13.09 g

The mass of substance left, N is given by

N = N₀exp(-λt) where λ = decay constant and N₀ = initial mass of substance present = 24 g and t = time

Also, λ = 0.693/t' where t' = half-life of iodine = 8 days

So, λ = 0.693/t'

λ = 0.693/8

λ = 0.086625/day

Since the mass of substance left is N = N₀exp(-λt) and we require the mass of substance after t = 7 days,

N = N₀exp(-λt)

N = 24 gexp(-0.086625/day × 7 days)

N = 24 gexp(-0.606375)

N = 24 g × 0.5453

N = 13.09 g

So, the mass of substance left after 7 days is 13.09 g

Learn more about radioactive decay here:

brainly.com/question/23705307

7 0

3 years ago

You randomly draw a marble out of a bag that contains 20 total marbles. 12 of the marbles in the bag are blue.

Advocard [28]

Answer:

$P(Blue)=0.60$

Step-by-step explanation:

Probability: $Probability\ of\ an\ event=\frac{favourable\ outcome}{total\ outcome}$

$Total\ marbles=20\\\\Hence\ total\ outcomes=20\\\\Blue\ marbles=12\\\\Hence\ favourable\ outcomes=12\\\\P(Blue)=\frac{12}{20}\\\\P(Blue)=\frac{2\times 6}{2\times 10}\\\\P(Blue)=\frac{6}{10}\\\\P(Blue)=0.60$

6 0

3 years ago

Find the point-slope equation for

Georgia [21]

Answer:

The answer to your question is y = -2x + 9

Step-by-step explanation:

A (9, 9)

B (-2, 13)

Process

1.- Find the slope

m = $\frac{y2 - y1}{x2 - x1}$

$m = \frac{13 + 9}{-2 - 9}$

$m = \frac{22}{-11}$

m = - 2

2.- Find the line equation

(y - y1) = m (x - x1)

y + 9 = -2 (x - 9) y + ? = [ ] ( x + [ ])

y + 9 = - 2x + 18

y = - 2x + 18 - 9

y = -2x + 9

7 0

3 years ago

Bottles filled by a certain machine are supposed to contain 12 oz of liquid. In fact the fill volume is random with mean 12.01 o

stepan [7]

Answer:

27.43% probability that the mean volume of a random sample of 144 bottles is less than 12 oz.

Step-by-step explanation:

To solve this problem, it is important 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 random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$