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xz_007 [3.2K]
3 years ago
11

Find the measure of DC if m

Mathematics
1 answer:
kupik [55]3 years ago
7 0

Answer:

  • B. 132°

Step-by-step explanation:

<u>Find the measure of arc BD</u>

  • m∠A = 1/2(arc BC - arc BD)
  • 2*36° = 150° - arc BD
  • arc BD = 150° - 72° = 78°

<u>Find the measure of arc DC</u>

  • arc BD + arc BC + arc DC = 360°
  • arc DC = 360° - (150° + 78°) = 360° - 228° = 132°

Correct choice is B

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Answer:

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3 years ago
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3 years ago
In a lab experiment, 2400 bacteria are placed in a petri dish. Due to the conditions, the
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Answer:

38,400 bacteria

Step-by-step explanation:

Because there are 24 hours in a day, it will double 4 times

2400times 2 equals 4800 (1st)

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3 years ago
Scores on a college entrance exam are normally distributed with a mean of 550 and a standard deviation of 100. Find the value th
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Answer:

The value that represents the 90th percentile of scores is 678.

Step-by-step explanation:

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.

In this problem, we have that:

\mu = 550, \sigma = 100

Find the value that represents the 90th percentile of scores.

This is the value of X when Z has a pvalue of 0.9. So X when Z = 1.28.

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

1.28 = \frac{X - 550}{100}

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X = 678

The value that represents the 90th percentile of scores is 678.

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3 years ago
Verify that cos squared A plus Sin squared A is equal to 1 if A is equal to 90 degrees
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Answer:

see explanation

Step-by-step explanation:

To verify cos²A + sin²A = 1 with A = 90° , then

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= 1

3 0
3 years ago
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