An antibiotic is introduced into a colony of 12,000 bacteria during a laboratory

Does anyone know how to do this? i need help please

Veronika [31]

The answer will be c

5 0

3 years ago

A baker has 10 cups of sugar to make cookies. Each batch calls for 113 cups of sugar. How many batches of cookies can he make? E

Lilit [14]

So I guess this would look like this originally 113/10, then as a mixed number 11 3/10

8 0

3 years ago

Read 2 more answers

An object in the shape of a rectangular prism has a length of 5 inches, a width of 3 inches, and a height of 2 inches. The objec

belka [17]

Answer:

$4,080grams$

Step-by-step explanation:

the formula for density is:

$d=\frac{m}{V}$

where d is density, m is mass, and V is volume.

solving for m in the last equation:

$m=d*V$

so if we find the volume and multiply it by the density $d=8.3gr/cm^3$ we will get the mass of the object.

The volume of a rectangular prism is given by:

$V=l*w*h$

where $l$ is length, $w$ is width and $h$ is height:

$l=5in\\w=3in\\h=2in$

we substitute to find the volume:

$V=5in*3in*2in\\V=30in^3$

since the density has units of $cm^3$ we need the volume also in units of $cm^3$ , so we make the conversion using:

$1in^3=16.3871cm^3$

multiplying by 30:

$30in^3=491.612cm^3$

and now we find the mass with the equation:

$m=d*V$

substituting d and V:

$m=(8.3gr/cm^3)(491.612cm^2)\\m=4,080.36gr$

the nearest gram is: $4,080grams$

8 0

3 years ago

Is (0,3) a solution to the equation y=x+3?

Delvig [45]

If you would like to know if (0, 3) is a solution to the equation y = x + 3, you can find this using the following step:

(0, 3) = (x, y)
x = 0
y = 3

y = x + 3
3 = 0 + 3
3 = 3

Result: (0, 3) is a solution to the equation y = x + 3.

3 0

3 years ago

Read 2 more answers

A manufacturer of coffee vending machines has designed a new, less expensive machine. The current machine is known to dispense (

cupoosta [38]

Answer:

$t=(15-1) [\frac{0.219}{0.2}]^2 =16.7864$

$p_v = 2*P(\chi^2_{14}>16.786)=0.5355$

And the 2 is because we are conducting a bilateral test.

$\alpha=0.05$ since the the $p_v >0.05$ we fail to reject the null hypothesis.

$\alpha=0.01$ since the the $p_v >0.01$ we fail to reject the null hypothesis.

Step-by-step explanation:

Data given

$\mu=7$ population mean (variable of interest)

$\sigma=0.2$ represent the population standard deviation

$s=0.219$ represent the sample deviation

n=15 represent the sample size

$\alpha=0.05,0.01$ represent the values for the significance level

Hypothesis test

On this case we want to check if the population standard deviation is equal or not to 0.2, so the system of hypothesis are:

H0: $\sigma = 0.2$

H1: $\sigma \neq 0.2$

In order to check the hypothesis we need to calculate the statistic given by the following formula:

$t=(n-1) [\frac{s}{\sigma_o}]^2$

This statistic have a Chi Square distribution distribution with n-1 degrees of freedom.

What is the value of your test statistic?

Now we have everything to replace into the formula for the statistic and we got:

$t=(15-1) [\frac{0.219}{0.2}]^2 =16.7864$

P value

We know the degrees of freedom of the distribution 14 on this case and we can find the p value like this:

$p_v = 2*P(\chi^2_{14}>16.786)=0.5355$

And the 2 is because we are conducting a bilateral test.

$\alpha=0.05$ since the the $p_v >0.05$ we fail to reject the null hypothesis.

$\alpha=0.01$ since the the $p_v >0.01$ we fail to reject the null hypothesis.

3 0

3 years ago