3 years ago

A growth medium is inoculated with 1,000 bacteria, which grow at a rate of 15% each day. What is the population of the

Mathematics

1 answer:

kykrilka [37]3 years ago

5 0

Answer:

therefore the population of the culture is 2313

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Consider the following hypothesis test: H 0: 20 H a: < 20 A sample of 50 provided a sample mean of 19.4. The population stand

goblinko [34]

Answer: p-value is 0.016.

Step-by-step explanation:

Since we have given that

$H_0:\mu=20\\\\H_a:\mu$

Sample mean = 19.4

Sample size n = 50

Standard deviation = 2

We need to find the test statistic value which is given by

$z=\dfrac{\bar{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}\\\\\\z=\dfrac{19.4-20}{\dfrac{2}{\sqrt{50}}}\\\\\\z=\dfrac{-0.6}{0.28}\\\\z=-2.14$

p-value is given by

$P(Z>Z_{critical})\\\\=P(Z>-2.14)\\\\=0.016$

Hence, p-value is 0.016.

8 0

3 years ago

Please help i dont get it

Vlad1618 [11]

Hello,

The mean is the average.

Therefore :

$\frac{96+84+92+96+100}{5}$
$= \frac{468}{5}$
$=93.6$

So the mean of the data set is 93.6.

Hope this helps !

Photon

8 0

4 years ago

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How many passwords of 5 characters (numbers or letters) can be created if repeats are allowed

alex41 [277]

Answer:

at least 290,000

Step-by-step explanation:

Why is this a question

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3 years ago

Find the area of the rectangle below by multiplying its length and width.

wariber [46]

Hello!

When multiply binomials together, we should use the FOIL method.

The FOIL method is an acronym for First, Outer, Inner, and Last.

First, let's set up the expression.

(7x - 1)(3x - 2)

Now, we can multiply in accordance with the FOIL method.

First: 7x · 3x = 21x²

Outer: 7x · -2 = -14x

Inner: -1 · 3x = -3x

Last: -1 · -2 = 2

Now, we simplify the inner terms.

21x² - 14x - 3x + 2

21x² - 17x + 2

Therefore, the area of the rectangle is 21x² - 17x + 2.

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3 years ago

A class is collecting quarters for a charity drive. After 3 weeks, they have collected 120 quarters. After another week, the tot

Ugo [173]

210-120=90. The answer is 90 quarters.

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3 years ago