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iren2701 [21]
2 years ago
5

Micah drew a map of his neighborhood. The actual distance from his house to the school is 5.75 miles. What is the actual distanc

e from the library to the park

Mathematics
2 answers:
kiruha [24]2 years ago
4 0

Answer:

2.875 is the best possible answer! Have a great day! hope i helped :)

Elan Coil [88]2 years ago
3 0

Answer:

2.875 mi  

Step-by-step explanation:

A scale factor (SF) is the ratio of two corresponding lengths in similar figures.

SF = actual distance/map distance = 5.75 mi/2 in

or 1 in = 2.875 mi

On the map, the distance from the library to the park is 1 in, so the actual distance is 2.875 mi.

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Ahmed made the model of the Financial Center at Sowwah Square for his school project. The height of the building model is 20 cm
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Answer:

Area = 1500 cm^{2}

Step-by-step explanation:

Area= height ×(Base 1 +base 2)

Area = 20 × (40+35)

Area = 20×75

Area = 1500 cm^{2}

7 0
2 years ago
Suppose that you take a sample of 250 adults. If the population proportion of adults who watch news videos is 0.58​, what is the
aliina [53]

Answer:

0.36% probability that fewer than half in your sample will watch news​ videos

Step-by-step explanation:

To solve this question, i am going to use the binomial approximation to the normal.

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 = 250, p = 0.58

So

\mu = E(X) = 250*0.58 = 145

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{250*0.58*0.42} = 7.80

If the population proportion of adults who watch news videos is 0.58​, what is the probability that fewer than half in your sample will watch news​ videos

Half: 0.5*250 = 125

Less than half is 124 or less

So this is the pvalue of Z when X = 124

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

Z = \frac{124 - 145}{7.8}

Z = -2.69

Z = -2.69 has a pvalue of 0.0036

0.36% probability that fewer than half in your sample will watch news​ videos

8 0
3 years ago
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Answer:

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Step-by-step explanation:

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