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My name is Ann [436]
2 years ago
13

Help solve for x. round to the nearest tenth​

Mathematics
1 answer:
Llana [10]2 years ago
4 0

Answer:

x = 3.7

Step-by-step explanation:

Apply trigonometric function to find x

Reference angle = 24°

Opposite = x

Hypotenuse = 9

This, apply SOH:

Sin 24 = Opp/Hyp

Sin 24 = x/9

9 × Sin 24 = x

3.66062979 = x

x = 3.7 (nearest tenth)

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Find the sum of (63−4)+(−23+9)=
frutty [35]

Answer:

45

Step-by-step explanation

Hope this helps :)

8 0
3 years ago
Read 2 more answers
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
Suppose Larry has 16 books and Pat has x books. (Larry still has at least 3 more than Pat.)
zimovet [89]

Answer:

13 ≥ x

Step-by-step explanation:

  • Larry = 16
  • Pat = x

<u>Larry has at least 3 more than Pat</u>

  • 16 ≥ x + 3

<u>Simplified</u>

  • 16-3  ≥ x + 3 - 3
  • 13 ≥ x
4 0
3 years ago
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likoan [24]

Answer:I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I. I

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6 0
3 years ago
What is the answer too 7(1+11)-9
hodyreva [135]
75 because 7+77=84 and 84-9=75
8 0
3 years ago
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