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saveliy_v [14]
2 years ago
8

There are two conditions under which we can assume that the sample means follow a normal distribution. What are they

Mathematics
1 answer:
Naddik [55]2 years ago
5 0

Two conditions under which we can assume that the sample means follow a normal distribution are as follows:

1). If the sample size is large​ enough, n greater than or equals 30, the sampling distribution is approximately normal regardless of the shape of the population.

2). In order to be considered a normal distribution, a data set (when graphed) must follow a bell-shaped symmetrical curve centered around the mean.

To learn more about Normal Distributions visit:

brainly.com/question/4079902

#SPJ4

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Y2-y1
defon

Answer:

\sf m=\dfrac{1}{3}

Step-by-step explanation:

The slope of a line can be found using the following formula:

\sf m=\dfrac{y_2-y_1}{x_2-x_1}

Given the points (1, 5) and (4, 6):

<u>where:</u>

x₁ = 1, x₂ = 4

y₁ = 5, y₂ = 6

Substitute these values into the formula:

\sf \sf m=\dfrac{y_2-y_1}{x_2-x_1}\\\\m=\dfrac{6-5}{4-1}\\\\m=\dfrac{1}{3}

Learn more here:

brainly.com/question/27781455
brainly.com/question/19708647

3 0
2 years ago
Pleaseeeeeeeeeee help.
Sauron [17]

Answer:

The total distance Remy will swim is approximately 236 meters

Step-by-step explanation:

From the given diagram, of triangle ΔCAB, we have that the path Remy is to swim are;

1) Length of segment C to A

2) Length of segment A to B

3) Length of segment B to C

The length of the perpendicular at point D on segment AB to C = 60 meters

Therefore, DC = 60 m

By trigonometric ratios, we have;

tan (\theta) = \dfrac{Opposite \ leg \ length}{Adjacent \ leg \ length}

cos(\theta) = \dfrac{Adjacent\ leg \ length}{Hypotenuse \ length}

We are given the values of the trigonometric ratios of the following angles;

tan(27°) = 0.51

tan(43°) = 0.93

cos(27°) = 0.89

cos(43°) = 0.73

∴ tan(43°) = AD/DC = 0.93

Where the lengths of AC, AD, DB, DC and BC

AD = DC × tan(43°)

∴ AD = 60 × 0.93 ≈ 55.8

Similarly, we have;

tan(27°) = DB/DC

∴ DB = DC × tan(27°)

DB = 60 × 0.51 ≈ 30.6

From cos(\theta) = \dfrac{Adjacent\ leg \ length}{Hypotenuse \ length}, we have;

cos(43°) = DC/AC

AC = DC/(cos(43°))

∴ AC = 60/0.73 ≈ 82.2

Similarly, we have;

cos(27°) = DC/BC

BC = DC/(cos(27°))

∴ BC = 60/0.89 ≈ 67.4

The total distance Remy will swim = AC + AD + DB + BC

∴ The total distance Remy will swim = 82.2 + 55.8 + 30.6 + 67.4 = 236

The total distance Remy will swim = 236 meters

6 0
3 years ago
Jonathan went to the movies with$48 he earned at his after school job. The ticket cost $8.75. He spent $7.45 for refreshments. H
DanielleElmas [232]
8.75+7.45=16.2. 16.2 is equal to $16.20 so 48.00-16.20=31.8. Jonathan had $31.80 left.
6 0
3 years ago
What is meaning of <br> 34+35= ?
Elis [28]

Answer:

lol

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Sam finished 5/6 of his homework, John finished 3/4 of his homework, and Tom finished 10/12 of his homework. Which two students
Anika [276]

Answer:

Sam and Tom

Step-by-step explanation:

5 × 2= 10

6 × 2= 12

5/6= 10/12

7 0
2 years ago
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