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3 years ago

Rachel jogged along a trail that was 1 fourth of a mile long . she jogged along a trail 8 times. how many miles did she jog.

Mathematics

2 answers:

vesna_86 [32]3 years ago

7 0

I think that the answer is most likely two

Aleksandr-060686 [28]3 years ago

3 0

2 miles is what I think because it's 8

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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

3 years ago

Xavier runs 0.75 mile each day.how far has he run at the end of 6 days

Svetllana [295]

I think it's 4.5 miles.

3 0

3 years ago

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4(x-5)<16<br><br> helppp i’m really bad at math

muminat

Answer:

x < 9

Step-by-step explanation:

Distribute 4

4x -20 < 16

add 20 to both sides

4x<36

divide by 4

x<9

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3 years ago

Which fraction is greater 31/52 or 37/64

fiasKO [112]

31/52 is greater because the pie as I imagine it would be cut into bigger slices than 37/64 because then the pie has to be cut into 64 pieces instead of 52

Therefore, 31/52 is bigger and greater

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3 years ago

Which equation is quadratic in form?

densk [106]

A quadratic equation is written in the form $ax^{2} + bx + c = 0$

Looking at the second, third, and fourth options, we see that the highest powers are greater than two, which automatically disqualifies them from being quadratics (since the highest power in a quadratic is 2).

This makes the first option the correct choice since the expansion of the equation gives $2x^{2} + 28x + 61$

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2 years ago

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