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stepan [7]
2 years ago
15

In the diagram, line r is parallel to BC.

Mathematics
2 answers:
Nady [450]2 years ago
4 0
The anwser is D for sure
WITCHER [35]2 years ago
3 0

Answer:

d

Step-by-step explanation:

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Angle M has a measure of 36° and Angle N has a measure of 24°. Are these two angles congruent?
Verdich [7]
No, because congruent angles have the same measure
8 0
3 years ago
Joianie beleives that you cannot use cross products to solve the proportion 50/3 = 75/x for x. She says
BigorU [14]

Answer:

4.5 It doesn't come out evenly, but cross products do work.

Step-by-step explanation:

She is not correct.

50 * x = 3 * 75              Combine the right

50x = 225                    Divide by 50

x = 225/50

x = 4.5

6 0
3 years ago
Explain why it is helpful to know the basic function shapes and discuss some ways to remember them.
postnew [5]
<h3>Explain why it is helpful to know the basic function shapes and discuss some ways to remember them. </h3>
  • Knowing the basic function shapes and discuss some ways to remember them is helpful because this is useful tools in the creation of mathematical models because we constantly make theories about the relationships between variables in nature and society. Functions in school mathematics are typically defined by an algebraic expression and have numerical inputs and outputs.
3 0
2 years ago
When studying radioactive material, a nuclear engineer found that over 365 days,
Gnom [1K]

Answer:

a) The mean number of radioactive atoms that decay per day is 81.485.

b) 0% probability that on a given day, 50 radioactive atoms decayed.

Step-by-step explanation:

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\lambda}*\lambda^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\lambda is the mean in the given interval.

a. Find the mean number of radioactive atoms that decayed in a day.

29,742 atoms decayed during 365 days, which means that:

\lambda = \frac{29742}{365} = 81.485

The mean number of radioactive atoms that decay per day is 81.485.

b. Find the probability that on a given day, 50 radioactive atoms decayed.

This is P(X = 50). So

P(X = 50) = \frac{e^{-81.485}*(81.485)^{50}}{(50)!} = 0

0% probability that on a given day, 50 radioactive atoms decayed.

5 0
2 years ago
Point M belongs to AN , point N belongs to BM , AB = 18 in and AM : MN : NB = 1:2:3. Find MN.
yulyashka [42]

MN = 6 in

add the parts of the ratio, 1 + 2 + 3 = 6

divide AB by 6 to find 1 part of the ratio

\frac{18}{6} = 3 ← 1 part

AM = 3 in ← 1 part

MN = 2 × 3 = 6 in ← 2 parts

NB = 3 × 3 = 9 in ← 3 parts

and 3 + 6 + 9 = 18 in = AB


3 0
3 years ago
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