1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
KIM [24]
3 years ago
10

Since the area under the normal curve within two standard deviations of the mean is 0.95, the area under the normal curve that c

orresponds to values greater than 2 standard deviations above the mean is 0.05.
a. True
b. False
Mathematics
1 answer:
alukav5142 [94]3 years ago
5 0

Answer:

X \sim N (\mu ,\sigma)

And for this case we know this condition:

P(\mu-2\sigma

By the complement rule we know that:

P(X< \mu -2\sigma \cup X>\mu +2\sigma) = 1-0.95=0.05

But since the distribution is symmetrical we know that:

P(X\mu +2\sigma) = 0.025

So then the statement for this case is FALSE.

b. False

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

For this case if we define the random variable of interest X and we know that this random variable follows a normal distribution:

X \sim N (\mu ,\sigma)

And for this case we know this condition:

P(\mu-2\sigma

By the complement rule we know that:

P(X< \mu -2\sigma \cup X>\mu +2\sigma) = 1-0.95=0.05

But since the distribution is symmetrical we know that:

P(X\mu +2\sigma) = 0.025

So then the statement for this case is FALSE.

b. False

You might be interested in
There are a total of 375 flamingos, parrots, herons, and chachalacas at the Famous Bird Sanctuary. The ratio of flamingos to par
Tems11 [23]

Answer:

75

Step-by-step explanation:

Since the ratio between flamingos and chachalacas is 2:1, we see that the ratio of flamingos to chachalacas to parrots to herons is 10:5:7:3. The sum of these numbers is 25, so every 'ratio number' gets 375/25 = 15 animals. So the number of chachalacas is 15 * 5 = 75.

3 0
3 years ago
Please help me with all thank you I’ll mark Brainly please put A. B. C. D next to the answer
Sedaia [141]

Answer:

A. 1.9

B. 3.5

C. 4.2

D. 4.9

I'M KINDA SURE

Step-by-step explanation:

Those images aren't good enough, I can't really get a good look. Basically, if there are nine little lines between each whole number, then each little line represents a tenth of a whole number, or 0.1. If there are four little lines between each whole number, then each little lines is 0.2. So, you just count up from the whole number below the value. For A, start at 1.0 and count up, each little line is 0.1 (if there are nine lines between each whole number), and figure out where A lies. Hope it helped, wish I could give a definite answer.

3 0
2 years ago
Please answer this correctly for a brainliest ☺️
Dimas [21]
Hello I think the answer would be three.
5 0
3 years ago
Evaluate each expression. 6 ÷ 6 + z + x − y; use x = 2, y = 5, and z = 6
Paladinen [302]

Answer:

4

Step-by-step explanation:

6/6+6+2-5=

5 0
3 years ago
The area of the square hole is 8 square centimeters. The volume of a cube shaped block is 64 cubic centimeters. Which edge lengt
damaskus [11]

<u> case a)</u> The area of the square hole is 8 square centimeters

we know that

the area of a square is equal to

A=b^{2}

where

b is the length side of the square

in this problem we have

A=8\ cm^{2}

<u>Find the length side b</u>

b^{2} = 8 \\b= \sqrt{8} \ cm\\b= 2\sqrt{2} \ cm

<u>the answer Part a) is</u>

the length side of the square is 2\sqrt{2} \ cm

Part b) The volume of a cube shaped block is 64 cubic centimeters

we know that

the volume of a cube is equal to

V=b^{3}

where

b is the length side of the cube

in this problem we have

V=64\ cm^{3}

<u>Find the length side b</u>

b^{3} = 64 \\b= \sqrt[3]{64} \\b= 4\ cm

therefore

<u>the answer Part b) is</u>

the length side of the cube is 4\ cm

5 0
3 years ago
Other questions:
  • Triangle ABC is similar to Triangle XYZ. 
    12·1 answer
  • Find the equation of the straight line that passes through the point (1,1/2) and has slope 1/2. Enter the equation in the point-
    7·1 answer
  • A person invests $1,150 in an account that earns 5% annual interest compounded continuously. Find when the value of the investme
    15·1 answer
  • <img src="https://tex.z-dn.net/?f=26%20%5Cdiv%204722%20" id="TexFormula1" title="26 \div 4722 " alt="26 \div 4722 " align="absmi
    10·1 answer
  • kims family spends $62.50 on dinner.they leave an 18% tip. how much is their total bill after their tip
    8·1 answer
  • Two times the sum of a number and 4 equals 7.
    14·1 answer
  • What is the domain of the relation shown
    11·1 answer
  • CAN SOMEONE HELP ME PLEASE ASAP!
    8·1 answer
  • A drug prescription of 45 pills costs $427. 95. If each pill contains 3 mg of medication, what is the cost per milligrams?
    10·2 answers
  • Please solve this!!!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!