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Alexxx [7]
3 years ago
7

Triangle ABC is an isosceles right triangle. What is the measure of a base angle? °

Mathematics
2 answers:
MaRussiya [10]3 years ago
8 0
90 degrees
cuz if you look closely it says isosceles RIGHT triangle
A right triangle has a measure of 90 degrees

Anon25 [30]3 years ago
6 0

Answer:

<em>The measure of a base angle is 45°</em>

Step-by-step explanation:

\triangle ABC is an isosceles right triangle. That means, the measure of its vertex angle is 90°

As, the sum of all three angles in any triangle is always 180°, so <u>the sum of two base angles will be</u>:  180\°-90\°=90\°

Now, the triangle is an isosceles triangle, that means <u>the measures of two base angles are equal to each other</u>.

So, the measure of each base angle =\frac{90\°}{2}= 45\°

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The television show CSI: Shoboygan has been successful for many years. That show recently had a share of 18, meaning that among
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Answer:

(a) The value of P (None) is 0.062.

(b) The value of P(at least one) is 0.938.

(c) The value of P(at most one) is 0.253.

(d) The event is not unusual.

Step-by-step explanation:

Let <em>X</em> = number of households watching the show.

The probability of the random variable <em>x</em> is, P (X) = <em>p</em> = 0.18.

The sample selected for the survey is of size, <em>n</em> = 14

The random variable <em>X</em> follows a Binomial distribution with parameter <em>n</em> = 14 and <em>p</em> = 0.18.

The probability of a Binomial distribution is computed using the formula:

P(X=x)={n\choose x}p^{x}(1-p)^{n-x};\ x=0,1,2,...

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P(X=0)={14\choose 0}(0.18)^{0}(1-0.18)^{14-0}=1\times1\times0.06214=0.062

Thus, the value of P (None) is 0.062.

(b)

Compute the probability that at least one household is tuned to CSI: Shoboygan as follows:

P (X ≥ 1) = 1 - P (X < 1)

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Thus, the value of P(at least one) is 0.938.

(c)

Compute the probability that at most one household is tuned to CSI: Shoboygan as follows:

P (X ≤ 1) = P (X = 0) + P (X = 1)

             ={14\choose 0}(0.18)^{0}(1-0.18)^{14-0}+{14\choose 1}(0.18)^{1}(1-0.18)^{14-1}\\=0.062+0.191\\=0.253

Thus, the value of P(at most one) is 0.253.

(d)

An event that has a very low probability of occurrence is known as an unusual event.

The probability of the event "at most one household is tuned to CSI: Shoboygan" is 0.253.

This probability value is not low.

Hence, the event is not unusual.

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