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2 years ago

Estion 3/10

Mathematics

2 answers:

Rus_ich [418]2 years ago

4 0

Answer:

I believe its c but I'm not clearly sure

AlladinOne [14]2 years ago

3 0

Answer:

i think the answer is d if im not u can report me

Step-by-step explanation:

plz mark as brainliest

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A scientist claims that 7% 7 % of viruses are airborne. If the scientist is accurate, what is the probability that the proportio

Reptile [31]

Answer:

The probability is $P(|p-\^{p}| > 0.03) = 0.0040$

Step-by-step explanation:

From the question we are told that

The population proportion is $p = 0.07$

The mean of the sampling distribution is $\mu_p = 0.07$

The sample size is n = 600

Generally the standard deviation is mathematically represented as

$\sigma_p = \sqrt{\frac{p (1 -p)}{n} }$

=> $\sigma_p = \sqrt{\frac{0.07(1 -0.07)}{600} }$

=> $\sigma_p = 0.010416$

Generally the probability that the proportion of airborne viruses in a sample of 600 viruses would differ from the population proportion by greater than 3% is mathematically represented as

$P(|p-\^{p}| > 0.03) = 1 - P(|p -\^{p}| \le 0.03)$

=> $P(|p-\^{p}| > 0.03) = 1 - P(-0.03 \le p -\^{p} \le 0.03 )$

Now add p to both side of the inequality

=> $P(|p-\^{p}| > 0.03) = 1 - P( 0.07-0.03 \le \^{p} \le 0.03+ 0.07 )$

=> $P(|p-\^{p}| > 0.03) = 1 - P(0.04 \le \^{p} \le 0.10 )$

Now converting the probabilities to their respective standardized score

=> $P(|p-\^{p}| > 0.03) = 1 - P(\frac{0.04 - 0.07}{0.010416} \le Z \le \frac{0.10 -0.07}{0.010416} )$

=> $P(|p-\^{p}| > 0.03) = 1 - P(-2.88 \le Z \le 2.88 )$

=> $P(|p-\^{p}| > 0.03) = 1 - [P(Z \le 2.88) - P(Z \le -2.88)]$

From the z-table

$P(Z \le 2.88) = 0.9980$

and

$P(Z \le -2.88) = 0.0020$

$P(|p-\^{p}| > 0.03) = 1 - [0.9980 - 0.0020]$

=> $P(|p-\^{p}| > 0.03) = 0.0040$

7 0

2 years ago

Please help me branniest

maxonik [38]

The answer is option A

5 0

2 years ago

There are 3 grams of sodium in 1⁄2 of a liter of soda. How much sodium is in 2⁄3 of a liter of soda? grams

Angelina_Jolie [31]

6 in a liter, 2 for every third of a liter, so there are 4 grams of sodium in 2/3 a liter of soda

8 0

2 years ago

Solve using substitution for x and y 5x+y=16 <br> y=2-3x

valentina_108 [34]

Answer:

X = 7 Y = -19

Step-by-step explanation:

If you want to solve this equation by substitution then you have to put the second equation in, so it will look something like this

5x + 1(2-3x)=16

Apply distributive property to solve.

Once you find x, plug it in to find y

To double check your work, you can plug the coordinated values back in

-19 = 2 - 3(7)

-19 = 2-21

This is true, so our solution is correct.

Hope this helps :)

3 0

2 years ago

Read 2 more answers

Help me get the answer and explain your answer.

max2010maxim [7]

Answer:

Step-by-step explanation:

eq. of any line with slope m and passing through (x1,y1) is

y-y1=m(x-x1)

reqd. eq. is

y-1=3/4(x-2)

4y-4=3x-6

4y=3x-6+4

4y=3x-2

so 3.

3 0

2 years ago