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Elena-2011 [213]
3 years ago
14

Find the measure of BDC

Mathematics
2 answers:
s2008m [1.1K]3 years ago
3 0

Answer:

68 degrees

Step-by-step explanation:

You can tell by the picture that this is a right angle. All right angles add up to be 90 degrees. Since one of the angles is labeled, all you would do is subtract that from 90.

90-22=68

Hope this helped! Please mark brainiest!

BartSMP [9]3 years ago
3 0
68 degrees is the correct answer
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Answer:

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Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 181 centimeter

Standard Deviation, σ = 7.3 centimeter

We are given that the distribution of height for Northern European adult males is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P(person is between 160 and 170 centimeters)

P(160 \leq x \leq 170) = P(\displaystyle\frac{160 - 181}{7.3} \leq z \leq \displaystyle\frac{170-181}{7.3}) = P(-2.8767 \leq z \leq -1.506)\\\\= P(z \leq -1.506) - P(z < -2.8767)\\= 0.066 -0.002 = 0.064 = 6.4\%

b) P(person is higher than 190 centimeter)

P(x > 190)

P( x > 190) = P( z > \displaystyle\frac{190 - 181}{7.3}) = P(z > 1.2328)

= 1 - P(z \leq 1.2328)

Calculation the value from standard normal z table, we have,  

P(x > 190) = 1 - 0.891 = 0.109 = 10.9\%

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