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defon
3 years ago
8

Como simplificar 120/45

Mathematics
1 answer:
Leto [7]3 years ago
5 0

Answer:

simplified in the exact form: 8/3

simplified in decimal form: 2.6

simplified in mixed number form:  2 2/3

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A pecan pie is being served for dessert. One piece of pie has an arc length of 7.85 in. It has been cut into 8 equal pieces. Wha
pishuonlain [190]

Answer: 10 inches.

Step-by-step explanation:

Since the pecan pie is a circle, you can use this formula:

arc\ length=r\theta

Where "r" is the radius and \theta is the central angle of the arc in radians.

If the pecan pie has been cut into 8 equal pieces then the central angle is:

\theta=\frac{2\pi}{8}\\\\\theta={\frac{\pi}{4}

Now you know the arc length and the central angle, then, you can solve for "r" from  arc\ length=r\theta:

 \frac{arc\ length}{\theta} =r

Substituting values, you get that the radius of the pecan pie rounded to the nearest whole number is:

r=\frac{7.85in}{\frac{\pi}{4}}\\\\r=10in

8 0
3 years ago
The average score of all golfers for a particular course has a mean of 75 and a standard deviation of 4. Suppose 64 golfers play
Vilka [71]

Answer:

0.0228 = 2.28% probability that the average score of the 64 golfers exceeded 76.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are 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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

\mu = 75, \sigma = 4, n = 64, s = \frac{4}{\sqrt{64}} = 0.5

Find the probability that the average score of the 64 golfers exceeded 76.

This is 1 subtracted by the pvalue of Z when X = 64.

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

By the Central Limit Theorem

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

Z = \frac{76 - 75}{0.5}

Z = 2

Z = 2 has a pvalue of 0.9772

1 - 0.9772 = 0.0228

0.0228 = 2.28% probability that the average score of the 64 golfers exceeded 76.

6 0
3 years ago
The constant of proportionality is always the point ____________, where kis the constant of proportionality.
spayn [35]

Answer:

The constant of proportionality is always the point (x, k * f (x), where k is the constant of proportionality.

Step-by-step explanation:

Let's take as example a linear function of the form: y = kx.

Where, k is the constant of proportionality.

Therefore, the proportionality constant is the point: (x, kx)

Generically it is always the point: (x, k * f (x)

Where, f (x) is a function proportional to x. The constant of proportionality is always the point (x, k * f (x)), where k is the constant of proportionality.

8 0
2 years ago
Answer this ASAP! URGENT
kobusy [5.1K]

Answer:

6th square -2

8th square -3

9th square -8

Step-by-step explanation: The sum is -12

6 0
3 years ago
Fawn ran a 5-kilometer race in 66 minutes. To the nearest hundredth, what was her speed in meters per second?
klio [65]

5 km = 5000 meters

66 minutes = 3960 seconds

Meters per second = 5000/3960 = 1.26

The answer is A.1.26

8 0
3 years ago
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