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In-s [12.5K]
3 years ago
12

What is another name for <1?

Mathematics
1 answer:
Oksanka [162]3 years ago
8 0

Option A:

The another name for ∠1 is ∠JLK.

Solution:

How to Label Angles :

There are two main ways to label angles:

1. Give the angle name by a number or a lower case letters.

2. The second way to name the angle is indicating by the vertex.

Usually the angle is denoted by three letters.

First letter and the second letter denotes the arms of the angle and the middle of the letter denotes the angle (its vertex).

To find the another name for ∠1.

The arms of the angle are LJ and LK and the vertex is L.

So, the name of the angle is ∠JLK.

Middle letter is the actual angle.

Therefore the another name for ∠1 is ∠JLK.

Option A is the correct answer.

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Answer:

<em>The probability of spending between 4 and 7 days in recovery</em>

<em>P(4≤x≤7) = 0.5445</em>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given mean of the Population μ = 5.3 days

Given standard deviation of the population 'σ' = 2 days

Let 'X' be the random variable in normal distribution

Let    x₁ = 4

Z_{1} = \frac{x_{1}-mean }{S.D} = \frac{4-5.3}{2} = -0.65

Let    x₂ = 7

Z_{2} = \frac{x_{2}-mean }{S.D} = \frac{7-5.3}{2} = 0.85

<u><em>Step(ii):-</em></u>

<u><em>The probability of spending between 4 and 7 days in recovery</em></u>

<em>P(4≤x≤7) = P(-0.65≤Z≤0.85)</em>

<em>              =  P(Z≤0.85) - P(Z≤-0.65)</em>

<em>             = 0.5 + A( 0.85) - ( 0.5 - A(-0.65) </em>

<em>             = 0.5 + A( 0.85) -  0.5 +A(0.65)   ( ∵A(-0.65) = A(0.65)</em>

<em>            =   A(0.85) + A(0.65)</em>

<em>           = 0.3023 + 0.2422</em>

<em>          = 0.5445</em>

<u><em>Final answer:</em></u><em>-</em>

<em>The probability of spending between 4 and 7 days in recovery</em>

<em>P(4≤x≤7) = 0.5445</em>

<em>            </em>

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