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3 years ago

A biologist tracked the growth of a strain of bacteria, as shown in the graph.

Mathematics

1 answer:

ozzi3 years ago

7 0

Answer:

Part A -> Function

Part B -> Function

Step-by-step explanation:

Concept

A relationship is a function only if there's a single y value corresponding to an x value. It can have the same y value for different x values but it must not have multiply y values for a single x value.

Below is an example

Function Not a Function

x y x y

1 5 1 5

2 6 2 7

3 5 1 6

Part A

Looking at the given graph, we see that the relationship has a single y value corresponding to an x value and so it is a function.

Part B

If there was the same number of bacteria for two consecutive hours it would mean the same y value for different x values. So, it would still remain a function.

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tangare [24]

Answer:

We know that a^2+b^2=c^2. The 45° angle lets us know that y=x (45+45+90=180), so the problem is y^2+x^2=4sqrt of 2

$4 \sqrt{2} = \sqrt{32 } \\ \sqrt{32} ^{2} = 32$

So you get y^2+x^2=32, and from there, since we know x and y are equal, you can just divide 32 by 2 then take the square root of that, so the answer should be 4 for both x and y

Step-by-step explanation:

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6 0

2 years ago

Help me on this one please

shepuryov [24]

Answer:

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Step-by-step explanation:

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2 years ago

The mean height of women in a country (ages 20-29) is 64 4 inches A random sample of 50 women in this age group is selected What

Simora [160]

Answer:

0.0721 = 7.21% probability that the mean height for the sample is greater than 65 inches.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .