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Anna11 [10]
3 years ago
7

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}}

In this problem, we have that:

\mu = 12.01, \sigma = 0.2, n = 144, s = \frac{0.2}{\sqrt{144}} = 0.0167

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

This is the pvalue of Z when X = 12

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

By the Central Limit Theorem

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

Z = \frac{12 - 12.01}{0.0167}

Z = -0.6

Z = -0.6 has a pvalue of 0.2743.

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

4 0
3 years ago
Anybody know w]t[f this is.
Blababa [14]

Answer

c

Step-by-step explanation:

only a function bc its only about one line not more

4 0
2 years ago
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