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2 years ago

A population of paramecia, P, can be modeled using the exponential

Mathematics

1 answer:

Ksivusya [100]2 years ago

4 0

The appropriate domain of the population function is 0 ≤ t ≤ 14

<h3>How to determine the domain?</h3>

The function is given as:

P(t) = 3(2)^t

From the question, we understand that the maximum time is 2 weeks.

2 weeks in days is 14 days

This means that the function is valid for 14 days i.e. t = 0 to 14

Hence, the appropriate domain of the population function is 0 ≤ t ≤ 14

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A recent broadcast of a television show had a 10 share, meaning that among 6000 monitored households with TV sets in use, 10%

Kisachek [45]

Answer:

Null and alternative hypothesis

$H_0: \pi \geq0.25\\\\H_1: \pi$

Test statistic $z=-26.82$

P-value $P=0$

The null hypothesis is rejected.

It is concluded that the proportion of households tuned into the program is less than 25%. The claim of the advertiser is rigth and got statistical support.

Step-by-step explanation:

We have to perform a hypothesis test of a proportion.

The claim is that less than 25% were tuned into the program, so we will state this null and alternative hypothesis:

$H_0: \pi \geq0.25\\\\H_1: \pi$

The signifiance level is 0.01.

The sample has a proportion p=0.1 and sample size of n=6000.

The standard deviation of the proportion, needed to calculate the test statistic, is:

$\sigma_p=\sqrt{\frac{\pi(1-\pi)}{N} } =\sqrt{\frac{0.25(1-25)}{6000} } =0.0056$

The test statistic is calculated as:

$z=\frac{p-\pi+0.5/N}{\sigma_p} =\frac{0.1-0.25+0.5/6000}{0.0056}=\frac{-0.1499}{0.0056} =-26.82$

As this is a one-tailed test, the P-value is P(z<-26.82)=0. The P-value is smaller than the significance level (0.01), so the effect is significant.

Since the effect is significant, the null hypothesis is rejected. It is concluded that the proportion of households tuned into the program is less than 25%. The claim of the advertiser is rigth and got statistical support.

3 0

3 years ago

Davis is putting tile in his rectangular kitchen. His kitchen is 13 feet long, and 17 feet wide. The tile davis is installing is

Fofino [41]

Answer:

It will cost is <u>$828.75</u>.

Step-by-step explanation:

Given:

Davis is putting tile in his rectangular kitchen. His kitchen is 13 feet long, and 17 feet wide. The tile davis is installing is $3.75 per square foot.

Now, to find the total cost.

Davis is putting tile in his rectangular kitchen.

Length = 13 feet.

Width = 17 feet.

So, to get the area of kitchen:

<em><u>Area = length × width</u></em>

Area = 13 × 17

Area = 221 square foot.

As, the unit rate is given.

Cost per square foot = $3.75.

Now, to get the total cost by using unitary method:

If cost of 1 square foot = $3.75.

So, the cost of 221 square foot = $3.75 × 221

= $828.75.

Therefore, it will cost $828.75.

3 0

3 years ago

The table and graph below show the amount of money Mi-Ling and Daniel

Over [174]

Is there a math question and can you show it please

6 0

3 years ago

Helpp me... <br><img src="https://tex.z-dn.net/?f=hk%20%3D%202" id="TexFormula1" title="hk = 2" alt="hk = 2" align="absmiddle" c

vredina [299]

<h2>>> Answer </h2>

________

$\:$

hk = 2, ka = 1

soo :

hk + ka = ?

= 2 + 1

= 3

6 0

3 years ago

Read 2 more answers

(9x-2)+(2x-8) I forgot how to do this

Shkiper50 [21]

Answer:

Hey there!

9x-2+2x-8

11x-2-8

11x-10

Let me know if this helps :)

7 0

3 years ago

Read 2 more answers