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
sdas [7]
3 years ago
6

The mean housing price for an area is $135,000 with a standard of $45,000 but is not normally distributed. According to the Cent

ral Limit Theorem what would we need to make sure is true about our sample in order to use normal distribution
Mathematics
1 answer:
kramer3 years ago
7 0

Answer:

A sample size greater than 30

Step-by-step explanation: The central limit theorem proffers the conditions necessary to obtain a normal or bell shaped distribution. It defines normal distribution in terms of mean, standard deviation and sample size. The sample size is a very important factor in determining the shape of a distribution.

Thus with a population having mean and standard deviation stated, in other to make use of or assume normal distribution, the sample size must be large. According tho the central limit theorem, a size of greater than 30 is deemed to be large enough. As the Same size increases, the sample mean converges to the value of the population mean.

You might be interested in
True of false
zalisa [80]

Answer:

true;)

Step-by-step explanation:

its right

4 0
3 years ago
Read 2 more answers
Use the substitution u = tan(x) to evaluate the following. int_0^(pi/6) (text(tan) ^2 x text( sec) ^4 x) text( ) dx
Rudiy27
If we use the substitution u = \tan x, then du = \sec^2 {x}\ dx. If you try substituting just u and du into the integrand, though, you'll notice that there's a \sec^2x left over that we have to deal with.

To get rid of this problem, use the identity \tan^2 x + 1 = \sec^2 x and substitute in the left side of the identity for the extra \sec^2x, as shown:

\int\limits^{\pi/6}_0 {tan^2 x \ sec^4 x} \, dx
\int\limits^{\pi/6}_0 {tan^2 x \ (tan^2 x + 1) \ sec^2 x} \, dx

From there, we can substitute in u and du, and then evaluate:

\int\limits^{\pi/6}_0 {tan^2 x \ (tan^2 x + 1) \ sec^2 x} \, dx
\int\limits^{\frac{1}{\sqrt{3}}}_0 {u^2(u^2 + 1)} \, du
\int\limits^{\frac{1}{\sqrt{3}}}_0 {u^4 + u^2} \, du
= \left.\frac{u^5}{5} + \frac{u^3}{3}\right|_0^\frac{1}{\sqrt{3}}
= (\frac{(\frac{1}{\sqrt{3}})^5}{5} + \frac{(\frac{1}{\sqrt{3}})^3}{3}) - (\frac{(0)^5}{5} + \frac{(0)^3}{3})
= \frac{1}{45\sqrt{3}} + \frac{1}{9\sqrt{3}} = \frac{6}{45\sqrt{3}} = \bf \frac{2}{15\sqrt{3}}


8 0
3 years ago
​Can u guys please give me the correct answer​​
Andre45 [30]

Answer:

∠ 3 = 65°

Step-by-step explanation:

∠ 2 and 115° are a linear pair and sum to 180° , that is

∠ 2 + 115° = 180° ( subtract 115° from both sides )

∠ 2 = 65°

∠ 2 and ∠ 3 are corresponding angles and and are congruent , then

∠ 3 = 65°

6 0
2 years ago
If a couple were planning to have three​ children, the sample space summarizing the gender outcomes would​ be: bbb,​ bbg, bgb,​
harkovskaia [24]

Answer:

a.S={hh,sh,hs,ss}

b.tex]\frac{1}{4}[/tex]

c.\frac{1}{2}

Step-by-step explanation:

We are given that a sample space of three children

S={bbb,bbg,bgb,bgg,gbb,gbg,ggb,ggg}

a.We have to construct similar space for two children where h for healthy and s for sick.

Then the sample space of two children

S={hh,sh,hs,ss}

b.Number of cases favorable to two healthy children=1

Total number of  cases=4

Number of cases for two healthy children=1

Probability =Number of favorable cases divided  by total number of cases

Probability=\frac{1}{4}

Hence, the probability of getting two healthy children=\frac{1}{4}

c.We have to find the probability of getting exactly one healthy child and one sick child

Number of cases of one healthy child and one sick child={hs,sh}=2

Probability=\frac{2}{4}=\frac{1}{2}

Hence, the probability of getting exactly one healthy child and one sick child=\frac{1}{2}

6 0
3 years ago
A rectangle with vertices A(-3, 1), B(1, 3), C(2, 1), and D(-2, -1) is rotated 90° clockwise about the origin and then dilated b
Damm [24]
I believe the correct answer is D but I am not quite sure
3 0
3 years ago
Other questions:
  • Can anybody help me with #55 please
    15·2 answers
  • #Algebra2 <br> -need help ASAP
    5·1 answer
  • Solve the following expression:<br> (-23 +11) – (-3 – 7)
    5·2 answers
  • What is the product?
    13·1 answer
  • Is there anyone who can do my homework for me Its 30 questions
    8·1 answer
  • 3/2x+5/2=-1/2 solve for x
    5·1 answer
  • There are ten kids in a class. When any two meet, each says “hi” to the other and the answer “hi” follows. Before the class star
    12·1 answer
  • Write the equation of the directrix of the parabola shown below.<br> y2 + 16y+ 4x + 4 = 0
    7·1 answer
  • Between which hours did the least amount of snow fall
    10·1 answer
  • A water pipe is 4 7/12 feet beneath the surface of the road. What is the elevation of the pipe, in feet, expressed as a decimal?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!