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2 years ago

There is a population of 2,000 bacteria in a colony. If the number of bacteria doubles every 4

1 answer:

8 0

The bacteria population will be 8,000 bc 2,000 x 2= 4,000 that’s after 4 hours then you double that agin 4,000 x 2= 8,000

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A population is estimated to have a standard deviation of 9. We want to estimate the population mean within 2, with a 99% level

cupoosta [38]

Answer:

The sample required is $n = 135$

Step-by-step explanation:

From the question we are told that

The standard deviation is $\sigma = 9$

The margin of error is $E = 2$

Given that the confidence level is 99% then the level of significance is mathematically evaluated as

$\alpha = 100-99$

$\alpha = 1 \%$

$\alpha = 0.01$

Next we will obtain the critical value $\frac{\alpha }{2}$ from the normal distribution table(reference math dot armstrong dot edu) , the value is

$Z_{\frac{\alpha }{2} } = Z_{\frac{0.05 }{2} } = 2.58$

The sample size is mathematically represented as

$n = [ \frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ]^2$

substituting values

$n = [ \frac{ 2.58 * 9 }{2} ]^2$

$n = 135$

3 0

2 years ago

Solve 3(x + 2) > x.

Kamila [148]

Answer:

3x + 6 > x

2x > -6

x > -3

answer is d

6 0

3 years ago

Read 2 more answers

2 mixed numbers between 3 and 4 that have a product between 9 and 10

Pavel [41]

2 4
3 4 4 5 9 10 10 8

3 0

3 years ago

What is the volume of the can below? Use Pi = 3.14 and round your answer to the nearest tenth. A cylinder with height 96 millime

Serga [27]

Answer:

$328,268 mm^3$

Step-by-step explanation:

The can in this problem has a cylindrical shape. The volume of a cylinder can be calculated with the following formula:

$V=\pi r^2 h$

where

r is the radius of the base of the cylinder

h is the height of the cylinder

In this problem we have:

h = 96 mm is the height of the can

d = 66 mm is the diameter of the can

So the radius of its base is

$r=\frac{d}{2}=\frac{66}{2}=33 mm$

And therefore, the volume of the can is:

$V=\pi (33)^2 (96)=328,268 mm^3$

7 0

2 years ago

Read 2 more answers

The table shows sets of ordered pads that form a relation

dsp73

Answer:

(5,2) (-2,5) this is how you solve an equation using simple graphd

4 0

2 years ago