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shepuryov [24]
2 years ago
13

13.62 Round to the nearest whole number.

Mathematics
1 answer:
Ivenika [448]2 years ago
7 0

Answer:

14

Step-by-step explanation:

when rounding you round up when the number is 5+ but if it's anything below 5 you go down instead, making this answer being 14

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What does x equal if the circumference of a circle equals 113.04
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Circumference=2(pi)r or (pi)d
You know that Circumference=113.04
You know that the diameter=2x+4
Plug what you know into the equation and solve for x.
   C     =(pi)    d
113.04=(pi)(2x+4)
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Fill in the blanks. The vertical line that contains the vertex is called the blank ?
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Axis of symmetry

Step-by-step explanation:

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Whats the domain? someone pleaseee
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The probability of flu symptoms for a person not receiving any treatment is 0.038. In a clinical trial of a common drug used to
alexgriva [62]

Answer:

36.32% probability that at least 47 people experience flu symptoms. This is not an unlikely event, so this suggests that flu symptoms are not an adverse reaction to the drug.

Step-by-step explanation:

I am going to use the normal approximation to the binomial to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 1164, p = 0.038

So

\mu = E(X) = np = 1164*0.038 = 44.232

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = 6.5231

Estimate the probability that at least 47 people experience flu symptoms.

Using continuity correction, this is P(X \geq 47 - 0.5) = P(X \geq 46.5), which is 1 subtracted by the pvalue of Z when X = 46.5.

Z = \frac{X - \mu}{\sigma}

Z = \frac{46.5 - 44.232}{6.5231}

Z = 0.35

Z = 0.35 has a 0.6368

1 - 0.6368 = 0.3632

36.32% probability that at least 47 people experience flu symptoms. This is not an unlikely event, so this suggests that flu symptoms are not an adverse reaction to the drug.

6 0
2 years ago
SPIRAL REVIEW - Find the value of the expression below.<br><br> 96 ÷ 4² + (25×2) - 15 - 3
Lunna [17]

Answer:

38

Step-by-step explanation:

96/16  

+(25)(2)−15−3

=6+(25)(2)−15−3

=6+50−15−3

=56−15−3

=41−3

=38

3 0
3 years ago
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