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hodyreva [135]
3 years ago
7

A bacterium cell splits into 2 cells every hour. Write and evaluate an exponential expression to find how many cells there will

be in 6 hours. Then use your answer to help you find the number of hours it will take for there to be 1,024 cells.​
Mathematics
1 answer:
timurjin [86]3 years ago
7 0

Answer:

2^x

64 bacterium

10 hours

Step-by-step explanation:

doubles every hour

if x = hours

2^x

2^x --> 2⁶ = 64

2^x = 1024

1024 = 2^10 ---> x=10

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Simplify 5a – (2a + 6)
Temka [501]

Answer:

Step-by-step explanation:

Add '-2a' to each side of the equation.

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3 0
3 years ago
Read 2 more answers
An engineer travels daily from home tothelaboratory each morning with an average commutetime of 24.6 minutes with a standard dev
charle [14.2K]

Answer:

1.74% probability that the commute takes more than 32 minutes.

Step-by-step explanation:

Problems of normally distributed samples can be 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 = 24.6, \sigma = 3.5

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This is 1 subtracted by the pvalue of Z when X = 32. So:

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

Z = \frac{32 - 24.6}{3.5}

Z = 2.11

Z = 2.11 has a pvalue of 0.9826.

So there is a 1-0.9826 = 0.0174 = 1.74% probability that the commute takes more than 32 minutes.

7 0
3 years ago
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