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2 years ago

A 45 gram sample of a substance that’s used to preserve fruit and vegetables has a K-value of 0.1085

Mathematics

1 answer:

Anna007 [38]2 years ago

7 0

Answer:

6.3 days

Step-by-step explanation:

The decay formula is

N(t) = N₀ exp(-kt)

where

N₀ = 45 g, original mass

N(t) = mass after time t, days

k = 0.1109, the decay constant.

At half life, N(t) = (1/2)*N₀. Therefore

1/2 = exp(-0.1109t)

Take natural log of each side.

ln(0.5) = -0.1109t

t = ln(0.5)/(-0.1109) = 6.25 days

Answer: 6.3 days (nearest tenth)

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A radio station claims that the amount of advertising per hour of broadcast time has an average of 13 minutes and a standard dev

zimovet [89]

Answer:

$Z = 3.33$

Step-by-step explanation:

Z-score:

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 question:

$\mu = 13, \sigma = 1.2$

You listen to the radio station for 1 hour, at a randomly selected time, and carefully observe that the amount of advertising time is equal to 17 minutes. Calculate the z-score for this amount of advertising time.

We have to find Z when X = 17. So

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

$Z = \frac{17 - 13}{1.2}$

$Z = 3.33$

5 0

3 years ago

The average speed of a train that travels x in 3/4 hour

creativ13 [48]

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Ans: (x/(3/4)) mph = (4x/3)mph = (4/3)x mph
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5 0

2 years ago

In order for the function to be linear, what must a be and why?

pochemuha

Answer:

213

Step-by-step explanation:

213

8 0

3 years ago

Nancy bought 5 1/2 pounds of apples and oranges. If she bought 1 2/3 pounds of apples, which of the following equations could be

poizon [28]

Answer:

5 1/2-p=1 2/3

Step-by-step explanation:

let p represent the weight of the oranges!

6 0

3 years ago

Answer ASAP: What is the set of the four consecutive integers, the largest of which is -234?

Elza [17]

I’m pretty sure the answer is -237, -236, -235, and -234. Because -234 would be the greatest of that consecutive set.

5 0

3 years ago