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Mashcka [7]
3 years ago
7

Jack lists all of the unique random samples of a certain sample size from a population. He then calculates the mean for each of

these unique random samples. Finally, he calculates a standard deviation of all the sample means. What is the correct notation and name for this standard deviation?
Mathematics
1 answer:
zimovet [89]3 years ago
5 0

Answer:

In this case Jack is only using a part or sample of the total population, so he is doing a sample standard deviation. When you use the total population you are doing a population standard deviation, otherwise, it’s always going to be the sample standard deviation.

Both deviations have different notations. The notation for this type of standard deviation (the one used by Jack) is:

"n" for the number of observations (lowercase)

"x-bar" for the average of the sample

"s" for the standard deviation

"s^2" for the variance

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X-2y=5 2x-4y=10
Nitella [24]

Step-by-step explanation:

X-2y=5 ; 2x-4y=10

• x - 2y = 5 • 2x -4y = 10

-2y = -x+5 -4y= -2x +10

y1 = ½x - 5/2 y2 = ½x -5/2

• => y1 = y2

½x -5/2 = ½x -5/2

the systems have no solution

• graph as attached

8 0
2 years ago
Can someone please explain to me how to get this answer?
SIZIF [17.4K]
Answers:
A = 120
b = 45.0
c = 33.2

Side Note: only one triangle is possible
See attached for a visual. I used GeoGebra to draw the triangle.

-------------------------------------------------------------
-------------------------------------------------------------

Explanation:

We are given the following information
B = 35
C = 25
a = 68

We need to find the following
A, b, c

where the lower case letters represent the side lengths; the upper case letters are the angles. The angles are opposite their corresponding sides. For instance, side lowercase b is opposite angle uppercase B. The other letters are positioned the same way.

-----------------------

First use the idea that for any triangle, the three angles (A,B,C) must add to 180 degrees
A+B+C = 180
Replace B and C with 35 and 25. Solve for angle A
A+35+25 = 180
A+60 = 180
A+60-60 = 180-60
A = 120

Now that we know the three angles A = 120, B = 35, C = 25, we can find the missing sides 'b' and 'c'

-----------------------

We will use the law of sines to find side b
sin(A)/a = sin(B)/b
sin(120)/68 = sin(35)/b
b*sin(120) = 68*sin(35) <<--- cross multiply
b = 68*sin(35)/sin(120)
b = 45.037013350222 <<--- use a calculator; this value is approximate
b = 45.0 <<--- round to the nearest tenth

-----------------------

Do the same for side c
sin(A)/a = sin(C)/c
sin(120)/68 = sin(25)/c
c*sin(120) = 68*sin(25) <<--- cross multiply
c = 68*sin(25)/sin(120)
c = 33.1838323365404 <<--- use a calculator; this value is approximate
c = 33.2 <<--- round to the nearest tenth

4 0
3 years ago
Read 2 more answers
Izzie recently took a math test where each correct answer (a) on the main part of the test was worth 8.3 points. She also correc
Temka [501]

Answer:

12 correct answers

Step-by-step explanation:

Since in the main part she scores 8.3 points for each question she answers correctly, we can assume that the number of questions she answers correctly=a

Therefor, the total number of points she achieved in the math test in the main part alone can be expressed as:

Total score(main part)=8.3×a=8.3a points

She also solved a bonus question worth=11 points

Consider expression 1 below

The total score in the whole test=Total score in the main part+Bonus points, where;

Total score in the whole test=110.6 points

Total score in the main part=8.3a points

Bonus points=11 points

Substituting the values in expression 1:

8.3a+11=110.6

8.3a=110.6-11

8.3a/8.3=99.6/8.3

a=12

Number of correct answers in the main part=a=12

4 0
3 years ago
#15 i
MA_775_DIABLO [31]

The inequality which represents the missing dimension x is x≥1.6 or x≥8 / 5.

Given that the area is greater than or equal to 8 square feet and image is attached below.

We want to find the missing inequality x in the form of inequality.

The figure is assumed to be a right triangle with Root = x and perpendicular = 10ft.

As we know the area of ​​a triangle is half the product of the base and the height.

First of all, we will find the area of ​​the triangle by substituting the given values ​​we get

Area=(1/2)×Base×height

Area=(1/2)×x×10

Area=5x      ......(1)

Assume that this area is greater than or equal to 8 square feet.

That means Area≥8ft²      ......(2)

Now we will balance equation (1) and equation (2), we get

5x≥8ft²

Furthermore, they we will divide both sides by 5 we get

(5x)/5≥8/5

x≥8/5

x≥1.6

Therefore, the inequality represents the missing size x when the area is larger or equal to 8 square feet is x ≥1.6ft².

Learn more about the dimension from here brainly.com/question/13271352

#SPJ9

4 0
2 years ago
Hey I need help a lot of help
Neko [114]
30
6 times 5 is 30 and since its 6 per hour you just do it to five :)
4 0
3 years ago
Read 2 more answers
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