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3 years ago

Pls, help with this question

Mathematics

1 answer:

nikklg [1K]3 years ago

4 0

Answer:

$m\text{ arc BC} =32\\m\angle 2=16\\m\angle3=74\\m\angle4=74\\m\angle5=16$

Step-by-step explanation:

Arc BC is the intercepted arc for the central angle COB, so its measure is the <u>same</u> as the central angle.

Angle 2 is an inscribed angle, so its measure is <u>half</u> the measure of the intercepted arc BC.

Angles 3 and 4 are congruent inside an isosceles triangle (OB = OC, both radii), and the sum of all angles in triangle COB is 180 degrees, so

180 - 32 = 148 (sum of angles 3 and 4)

Each of angles 3 and 4 measure half that remaining 148 degrees.

Angle 5 is one of two congruent angles in an isosceles triangle AOC (OA = OC) so its measure is that of angle 2.

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4 years ago

How do we determine whether or not something is a function?

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Functions can only have one output

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3 years ago

Suppose that the weight of an newborn fawn is Uniformly distributed between 2.5 and 4 kg. Suppose that a newborn fawn is randoml

Lubov Fominskaja [6]

Answer:

a) The mean is 3.25

b) The standard deviation is 0.433

c) The probability that fawn will weigh exactly 3.7 kg is 0

d) The probability that a newborn fawn will be weigh between 2.9 and 3.5 is 0.4

e) The probability that a newborn fawn will be weigh more than 3.3 is 0.4667

f) The probability that a newborn fawn will be weigh more than P(x > 2.9 | x < 3.7) is 0.6667

g) The 59th percentile is 3.385

Step-by-step explanation:

a) In order to calculate the mean we would have to make the following calculation:

mean = (4 + 2.5) / 2 = 3.25

b) In order to calculate the standard deviation we would have to make the following calculation:

standard deviation = (4 - 2.5) / √(12) = 0.433

c) P(X = 3.7) = 0

d) In order to calculate the probability that a newborn fawn will be weigh between 2.9 and 3.5 we would have to make the following calculation:

P(2.9 < X < 3.5) = (3.5 - 2.9) / (4 - 2.5) = 0.4

e) In order to calculate the probability that a newborn fawn will be weigh more than 3.3 we would have to make the following calculation:

P(X > 3.3) = (4 - 3.3) / (4 - 2.5) = 0.4667

f) P(X > 2.9 | X < 3.7) = P(X > 2.9 and X < 3.7) / P(X < 3.7) = P(2.9 < X < 3.7) / P(X < 3.7) = [(3.7 - 2.9) / (4 - 2.5)] / [(3.7 - 2.5) / (4 - 2.5)] = 0.6667

g) In order to calculate the 59th percentile we would have to make the following calculation:

P(X < x) = 0.59

(x - 2.5) / (4 - 2.5) = 0.59

x = 3.385

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4 years ago

Multiply the matrices. (Please help!)

Ainat [17]

9514 1404 393

Answer:

$\left[\begin{array}{cc}12&1\\-4&1\\-11&28\end{array}\right]$

Step-by-step explanation:

The element at row i column j in the product is the dot-product of row i of the first matrix and column j of the second matrix. For example, row 2 column 1 of the product is ...

(row 2) · (column 1)

[3, -2, 4] · [2, 7, 1] = (3)(2) +(-2)(7) +(4)(1) = 6 -14 +4 = -4

The attachment shows the complete product matrix. It is convenient to let a spreadsheet or graphing calculator do the tedious repetitive arithmetic.

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