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Goryan [66]
3 years ago
11

A sample of 100 independent random numbers is taken from this distribution, and its average is used to estimate the mean of the

distribution. What isthe standard error of this estimate?
Mathematics
1 answer:
Mariulka [41]3 years ago
4 0

Answer:

The standard error in estimating the mean = (0.1 × standard deviation of the distribution)

Step-by-step explanation:

The standard error of the mean, for a sample, σₓ is related to the standard deviation, σ, through the relation

σₓ = σ/(√n)

n = sample size = 100

σₓ = σ/(√100)

σₓ = (σ/10) = 0.1σ

Hence, the standard error in estimating the mean = (0.1 × standard deviation of the distribution)

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What is the length of an arc with a central angle of 43? radians and a radius of 42 cm? use 3.14 for pi. round to the nearest hu
uysha [10]
L=R*angle, but the angle *must* be in radians. So, just translate 43 degrees into radians: 43 * pi / 180, and you'll get:

L = 42 * ( 43 * pi / 180 ) ~ 31.504666, which rounded to the nearest hundredth is 31.50 cm.
4 0
3 years ago
Solve the right angle trig problem.
Lisa [10]

Answer:

x = 40.7057°

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Trigonometry</u>

  • [Right Triangle Only] sin∅ = opposite over hypotenuse

Step-by-step explanation:

<u>Step 1: Define</u>

We have a right triangle. We can use trig to find the angle.

<u>Step 2: Identify Variables</u>

Angle = <em>x</em>

Opposite = 15

Hypotenuse = 23

<u>Step 3: Find Angle </u><em><u>x</u></em>

  1. Substitute:                    sinx° = 15/23
  2. Inverse:                         x° = sin⁻¹(15/23)
  3. Evaluate:                       x = 40.7057°
6 0
3 years ago
In the following figure, m AC = 64° and m BD = 130°. What is measure AEB?
Salsk061 [2.6K]

Answer: 32°

Step-by-step explanation: see photo

6 0
3 years ago
James folds a piece of paper in half several times,each time unfolding the paper to count how many equal parts he sees. After fo
Snezhnost [94]

Answer:

There will be total 2048 parts of the given paper if James if able to fold the paper eleven times.

The needed function is y = 2 ^n

Step-by-step explanation:

Let us assume the piece of paper James decides to fold is a SQUARE.

Now, let us assume:

n : the number of times the paper is folded.

y : The number of parts obtained after folds.

Now, if the paper if folded ONCE ⇒  n = 1

Also, when the pap er is folded once, the parts obtained are TWO equal parts.

⇒  for n = 1 , y = 2       ..... (1)

Similarly, if the paper if folded TWICE  ⇒  n = 2

Also, when the paper is folded twice, the parts obtained are FOUR equal parts.

⇒  for n = 2 , y = 4       ..... (2)

⇒y  = 2^2  =  2^n

Continuing the same way, if the paper is folded SEVEN times  ⇒  n = 7

So, y = 2^ n = 2^7 = 128

⇒  There are total 128 equal parts.

Lastly,  if the paper is folded ELEVEN  times  ⇒  n = 11

So, y = 2^ n = 2^{11} = 2048

⇒  There are total 2048 equal parts.

Hence, there will be total 2048 parts of the given paper if James if able to fold the paper eleven times.

And the needed function is y = 2 ^n

8 0
3 years ago
PLEASE HELP ASAP!!!!!!!!!!!
marusya05 [52]

Answer:(1) The correct option is b. (2) The correct option is c.

Explanation:

(1)

It is given that the △ABD≅△FEC.

So by (CPCTC) corresponding parts of congruent triangles are congruent.

\angle CFE=\angle DAB

It is given that the angle DAB is 63 degree.

\angle CFE=63^{\circ}

Therefore, the correct option is b.

(2)

It is given that the △ABD≅△FEC.

So by (CPCTC) corresponding parts of congruent triangles are congruent.

BD=EC

BD=CD+DE

BD=8+10

BD=18

Therefore, the correct option is c.

4 0
3 years ago
Read 2 more answers
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