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3 years ago

Match each expression with the equivalent expanded expression.

Mathematics

1 answer:

adelina 88 [10]3 years ago

5 0

Answer:

Question

Match each expression with the equivalent expanded expression.

0.5 (2x + 3)

- 10x - 3

1/3 ( 9 +81)

8x - 4

-5 (2x + 3/5)

-2x + 3

2 (4x-2)

x + 1.5

-3 (2/3x - 1)

Answer:

Step-by-step explanation:

Step-by-step explanation:

Question

Match each expression with the equivalent expanded expression.

0.5 (2x + 3)

- 10x - 3

1/3 ( 9 +81)

8x - 4

-5 (2x + 3/5)

-2x + 3

2 (4x-2)

x + 1.5

-3 (2/3x - 1)

Answer:

Step-by-step explanation:

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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

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Now add p to both side of the inequality

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

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

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

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

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

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Step-by-step explanation:

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Answer:

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