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ratelena [41]
3 years ago
12

Tina is bored, very bored. She has decided there is no time like the present to take up a new hobby, paper football creation and

flight. She finds some construction paper and is ready to begin. Her goal is to be able to launch a paper football that will land directly in front of her dog in the hopes that she can film its surprised reaction for TikTok.
Being a top algebra student, she models the height h(x), above the ground with the equation,h(x)=-x^2+10x-16, where x is the number of seconds since Tina hits record on her phone.

How many seconds would it take Tina to launch the football after she begins recording?
Mathematics
2 answers:
Allushta [10]3 years ago
6 0

Answer:

4 or 5 seconds

Step-by-step explanation:

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Harman [31]3 years ago
5 0

Answer: 4 or 5 seconds

Step-by-step explanation:

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Answer:

Probability that the proportion of airborne viruses in a sample of 529 viruses would be greater than 8% is 0.9545.

Step-by-step explanation:

For the given population the distribution of air-borne viruses is given as 6%. Now for this the value of Z score is given as

Z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}}

Here

  • \hat{p} is the sample measure which is 8% or 0.08
  • p is the population measure which is 6% or 0.06
  • n is the number of samples which is 529

So the Z score is given as

Z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}}\\Z=\dfrac{0.08-0.06}{\sqrt{\dfrac{0.08(1-0.08)}{529}}}\\Z=\dfrac{0.02}{\sqrt{\dfrac{0.08(0.92)}{529}}}\\Z=\dfrac{0.02}{\sqrt{\dfrac{0.0736}{529}}}\\Z=\dfrac{0.02}{0.01179}\\Z=1.6955

For this the score, the value of probability is calculated from the table as below:

P(\hat{p}>0.08)=p(Z>1.6955)\\=1-p(Z

Here value of p(Z<-1.6955) is given as 0.0455

P(\hat{p}>0.08)=p(Z>1.6955)\\P(\hat{p}>0.08)=1-p(Z0.08)=1-0.0455\\P(\hat{p}>0.08)=0.9545

 

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