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Studentka2010 [4]
4 years ago
11

Thinking about the areas of a Standard Normal Distribution, if a z value is negative, is the area to the left of z less than 0.5

000, greater than 0.5000 or equal to 0.5000?

Mathematics
1 answer:
Dmitrij [34]4 years ago
5 0
A typical plot of the standard normal distribution is shown in the figure below.
The curve is symmetric about z = 0, and the total area under the curve is 1.

It follows that if the value of z is negative, the area to the left of z will be less than 0.5.

Answer:  The area to the left of z is less than 0.5000

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Write an equation that represents the following statement: 6 less than the product of r and 4 is 2
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Answer: R x 4 - 6

Step-by-step explanation:

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Which of the following is a polynomial function in standard form with zeros at –8, –1, and 3?
telo118 [61]
The answer is A because zeros of polynomial functions are found by setting each factor equal to zero and solving for x. The zeros of a function will be the opposite sign of the numbers inside each factor.
8 0
4 years ago
Read 2 more answers
In triangle RST, m∠R > m∠S + m∠T. Which must be true of triangle RST? Check all that applym∠R > 90°
Sedbober [7]

Answer: The correct statements are,

m∠R > 90°

m∠S + m∠T < 90°

m∠R > m∠T

m∠R > m∠S

Step-by-step explanation:

Here, RST is a triangle,

Therefore,  m∠R+m∠S+m∠T = 180° ⇒ m∠S+m∠T = 180° - m∠R

Given: m∠R > m∠S + m∠T

⇒ - m∠R < - (m∠S + m∠T) (by multiplying-1 on both sides)

⇒ 180°- m∠R < 180° - (m∠S + m∠T) (by adding 180° on both sides)

⇒ m∠S+m∠T < 180° - (m∠S + m∠T)

⇒ m∠S+m∠T+ m∠S+m∠T < 180° ( by adding m∠S + m∠T on both sides)

⇒ 2(m∠S+m∠T) < 180°

⇒ m∠S+m∠T < 90°

⇒ m∠R > 90° ( because m∠R+m∠S+m∠T = 180° )

Again, m∠R > m∠S + m∠T

⇒ m∠R > m∠S and  m∠R > m∠T

Thus, Option first second fourth and fifth are correct.


Note: m∠S = m∠T is only possible when m∠R=90° (but it is not given)

That is why m∠S = m∠T is not correct.

And, there are not enough information to prove m∠S > m∠T

That is why  m∠S > m∠T is also incorrect.

3 0
3 years ago
Read 2 more answers
A Iine passes through the point (9,-8) and has a slope of
baherus [9]

Answer:

y = 2/3x + b

(Find b first with the steps below)

Step-by-step explanation:

The equation is y = mx + b and m is the slope. You were already given the slope and you were even given a point. All you have to do is graph the point and use the slope until it intercepts the y-axis.

  1. Plot the point (9,-8)
  2. Go up 2, left 3 spots until the line hits the y-axis (the vertical one)
  3. That point is what b will be equal to in y = mx + b
5 0
4 years ago
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