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kogti [31]
3 years ago
6

From the top of the tower 30 m height a man is observing the base of a

Mathematics
1 answer:
svetoff [14.1K]3 years ago
3 0

Answer:

Step-by-step explanation:

it makes 30 degree with the horizontal.

so it makes 90-30=60 degree with the tower.

let x be the distance between tower and tree.

\frac{x}{30} =tan 60=\sqrt{3} \\x=30\sqrt{3}

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A consumer report counted 72 low-quality, 112 medium-quality, and 711 high-quality computers based on a random sample. The repor
blsea [12.9K]

Answer:

high quality = 711/895

medium quality = 112/895

low quality = 72/895

Step-by-step explanation:

72 + 112 + 711 = 895

high quality = 711/895

medium quality = 112/895

low quality = 72/895

8 0
3 years ago
A community college has a math placement exam that has a mean of 65 and a standard deviation of 8.2. If a student takes the exam
Marat540 [252]

Answer:

The score that cuts off the bottom 2.5% is 48.93.

Step-by-step explanation:

When the distribution is normal, we use 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.

In this question, we have that:

\mu = 65, \sigma = 8.2

What is the score that cuts off the bottom 2.5%

This is X when Z has a pvalue of 0.025, so X when Z = -1.96.

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

-1.96 = \frac{X - 65}{8.2}

X - 65 = -1.96*8.2

X = 48.93

The score that cuts off the bottom 2.5% is 48.93.

8 0
3 years ago
Read 2 more answers
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4 years ago
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Vesna [10]

Answer:

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3 years ago
What is 212.809 rounded to the nearest hundredth
MrRissso [65]

Answer:

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Step-by-step explanation:

212.809 rounded to the nearest hundredth is 212.81

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3 years ago
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