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3 years ago

How do i find angle x

Mathematics

2 answers:

Viktor [21]3 years ago

6 0

Since we have a transverse line that cuts through the straight line parallel to the height, then we can see that the angles are divided into two sections.

We also have vertically opposite angles, since the angle sum of a straight line is 180°. We have perpendicular lines since we are given a 90° angle. Thus, we know the missing angle is 45°.

Thus, 45 + x = 180
x = 135°

Anastaziya [24]3 years ago

3 0

Answer:

The value of angle x is 135°.

Step-by-step explanation:

In the given figure, two straight lines l and m are intersecting each other at point O.

When two straight lines intersect each other the vertically opposite angles are always equal.

Lines n is perpendicular to line l.

x = 45° + 90° = 135°

The value of angle x is 135°.

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Answer:

a) $P(X=0)= (20C0) (0.135)^0 (1-0.135)^{20-0} = 0.0550$

b) $P(X \geq 1)$

And we can use the complement rule and we have this:

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Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

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The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: $P(A)+P(A') =1$

Solution to the problem

For this case we define the random variable X="number of children unvaccinated" and the distribution for X is given by:

$X \sim Bin (n =20, p=0.135)$

Part a

For this case we want this probability:

$P(X=0)$

Using the probability mass function we can replace and we got:

$P(X=0)= (20C0) (0.135)^0 (1-0.135)^{20-0} = 0.0550$

Part b

For this case we want this probability:

$P(X \geq 1)$

And we can use the complement rule and we have this:

$P(X \geq 1) = 1-P(X$

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