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Margaret [11]
2 years ago
14

5.5% tax on $20 is $

Mathematics
2 answers:
Ivahew [28]2 years ago
5 0

Answer: $18.90

Step-by-step explanation:

Andrei [34K]2 years ago
3 0

Answer:

$1.1

Step-by-step explanation:

= 5.5% × $20

= $1.1

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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
Put this fro greaest to least 0.35,4/9,42%,3/8
Alona [7]

Answer:

3/8 4/9 42% 0.35

Step-by-step explanation:

hope this right

5 0
3 years ago
everyday Penelope jogs three laps around the playground to keep in shape the playground is rectangular with the width of 163 m a
Veronika [31]

Answer:

The total amount of meters in one lap is 966

Step-by-step explanation:

we know that

The total amount of meters in one lap is the same that the perimeter of the rectangular playground

so

The perimeter of the rectangular playground is equal to

P=2(L+W)

we have

L=320\ m\\W=163\ m

substitute

P=2(320+163)

P=966\ m

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3 years ago
A triangular pyramid has lateral faces with bases of 6 meters and heights of 9 meters. The area of the base of the pyramid is 15
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Bases+faces=surface area
15.6+81=96.6
Because 1/2*6*9=27*3=81
4 0
3 years ago
Read 2 more answers
Draw and label an example of two parallel lines that are perpendicular to a third line.
lara31 [8.8K]
Euclid used a somewhat different parallel postulate in trying to avoid the notion of the infinite.  He observed that when two parallel lines are intersected by a third line, called a transversal, then if you measure two angles formed by these three lines, on the same side of the transversal and between the parallels, they will add to  (that is, they will be supplementary).  Such angles are called same-side interior angles<span>:</span>

7 0
3 years ago
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