When you have a normal distribution and you know that the area above a given value of x is .35, you also know that:

Mathematics

2 answers:

Morgarella [4.7K]3 years ago

8 0

35% of the observations have that value of x because the relative frequency of that value of x is .35.

Aloiza [94]3 years ago

5 0

Thank you for posting your question here at brainly. The answer is None of the above.

35% of the observations have that value of x.
False. 0% have that value of x exactly.

35% of the observations have values less than or equal to that value of x. False . 65% of the observations have values less than or equal to that value of x.

There is a 35% chance of choosing an individual with that value of x. False . there is 0% chance of choosing an individual with exact that value of x.

The relative frequency of that value of x is .35.

False, the relative frequency is 0.

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Given: △ABC, m∠A=60°

Anon25 [30]

Answer:

Perimeter = 32.3

Area = 95.24

Step-by-step explanation:

Given:

△ABC, m∠A=60°

m∠C=45°, AB = 9

To find:

Perimeter of △ABC

Area of △ABC

Solution:

Using angle sum property in a triangle:

m∠A + m∠B + m∠C = 180°

m∠B = 180° - 45° - 60° = 75°

As per Sine Rule:

$\dfrac{a}{sinA} = \dfrac{b}{sinB} = \dfrac{c}{sinC}$

Where

$a$ is the side opposite to $\angle A$

$b$ is the side opposite to $\angle B$

$c$ is the side opposite to $\angle C$

$\dfrac{BC}{sin60^\circ} = \dfrac{AC}{sin 75^\circ} = \dfrac{AB}{sin 45^\circ} \\\Rightarrow \dfrac{BC}{\frac{\sqrt3}{2}} = \dfrac{9}{\frac{1}{\sqrt2}} \\\Rightarrow BC = 12.73\times 0.87 \\\Rightarrow BC = 11.08$