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
Firlakuza [10]
3 years ago
8

if a sample size 40 is drawn from the population that has mean 276 and a variance of 81, what is the probability that the mean o

f the sample will be less than 273?
Mathematics
1 answer:
lapo4ka [179]3 years ago
4 0

Answer:

The probability is 0.017429

Step-by-step explanation:

We start by calculating the z-score

Mathematically;

z-score = (x-mean)/SD/√n

In this case;

x = 273

mean = 276

SD = √(variance) = √81 = 9

n = 40

Substituting these values into the z-score formula, we have that;

z = (273-276)/9/√40

z = -2.11

So we proceed to get the probability

the probability in this case is;

P( z < -2.11)

We can use the normal distribution table for this

Our answer will be

P( z < -2.11) = 0.017429

You might be interested in
(X+3) (X-2) Standard form.<br><br> Please show steps.
Zolol [24]

Use distributive property:

(x+3)(x-2)=(x)(x)+(x)(-2)+(3)(x)+(3)(-2)\\\\=x^2-2x+3x-6=x^2+x-6

8 0
3 years ago
Translate to an algebraic expression.<br> The sum of a and n.<br> The translation is
aksik [14]
The translation of the sum a and n is a+n
5 0
2 years ago
Read 2 more answers
The angle of elevation of the top of a tree is 60°. If the point of observation is 4m from the foot of the tree. How far is the
inn [45]

Answer:

8m

Step-by-step explanation:

x = hypotenuse since they want the point of observation to the top of the tree

cos 60 = 4/x

x = 4 / cos 60

x = 8m

7 0
3 years ago
Subtract -b + 3 from -11b -4 a. 10b+7 b. -12 - 1 c. 10b - 7 d. -10b - 7
vampirchik [111]

Answer:

d. -10b-7

Step-by-step explanation:

4 0
2 years ago
a ladder 30 decimeters long is leaning against the side of a building. the ladder makes an angle of 25 degrees with the side of
ozzi
H=how far up from the ground does the ladder touch the building
h/30=sin 25°
h=30 sin 25°
h=12.7 decimeters(1 decimal place)
Answer: The height that the ladder touch the building far up from the ground is 12.7 decimeters.


8 0
3 years ago
Other questions:
  • marrisa got an 85% on her math quiz. she had 34 questions correct .how many questions were on the quiz
    14·2 answers
  • The sum of three natural numbers is 720. The second number is 2 times larger than the first and 105 smaller than the third numbe
    7·1 answer
  • How do you write 16x-3y=3 in slope intercept form
    11·2 answers
  • Tom has read the first 40 pages of a book. He plans to read another 12 pages each day Write an equation that represents the rela
    5·1 answer
  • I NEED A TONNNN OF HELP<br><br> Whats 2+2??????????<br><br> enjoy the points
    6·2 answers
  • What is the leading coefficient of the polynomial F(x) defined below?
    9·1 answer
  • i had $3 and my mom gave me $10 and my father gave $30 and my aunt and my uncle gave me $100 and i had another $7.how did i have
    8·1 answer
  • What 2 figures Will <br><br> have 20 edges?
    9·2 answers
  • At the base of a pyramid, a surveyor determines that the angle of elevation to the top is °. At a point meters from the base, th
    8·2 answers
  • Donna borrowed $10, 500 at a simple interest rate of 4% for 3 years to buy her new car. How much interest would Donna pay and ho
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!