The number of violent crimes committed in a day possesses a distribution with a mean of 2.8 crimes per day and a standard deviation of 4 crimes per day. A random sample of 100 days was observed, and the sample mean number of crimes for the sample was calculated. Describe the sampling distribution of the sample means.

Answers

Answer 1

Answer:

The distribution is approximately normal with mean = 2.8 and standard error = 0.4

Step-by-step explanation:

We are given;

Mean; μ = 2.8

Standard deviation; σ = 4

Sample size; n = 100

Now, the central limit theorem states that the sample mean with a sample size(n) from a population mean (μ) and population standard deviation(σ) will, for large value of n, have an approximately normal distribution with mean μ and standard error as (σ/√n)

The sample size is 100 and thus it's very large because it's bigger than minimum of 30 for approximate distribution.

Thus, SE = (σ/√n) = 4/√100 = 4/10 = 0.4

Thus,from the central limit theorem I described, we can say that the distribution is approximately normal with mean = 2.8 and standard error = 0.4


Related Questions

how to write this numbers in word 89.04​

Answers

Answer:

eighty-nine point zero four

Step-by-step explanation:

Answer:

u mean 89.04 = eighty-nine point zero four?

Step-by-step explanation:

Four more than twice a number is half the number six times. Find the number.

Answers

Answer:

x = 4

Step-by-step explanation:

2x + 4 = 6(1/2×)

2x + 4 = 3x

-2x on oth sides

4=×

x is 4

PLS HELP I WILL GIVE BRAINLIEST

Answers

Answer:

C.) 8

Step-by-step explanation:

1 1/2 / 3/16 = 8

Answer:

Its c

Step-by-step explanation:

you convert 1 1/2 into 1 8/16, divided by 3/16. which gives you your answer.

FIRST TO ANSWER WITH IT CORRECT GETS 50 POINTS AND A BRAINLIST THING

Answers

Answer:

2. 36

3. 8

4. 64 - 32

5. 7

I hope that this helps you, I'm not sure if number 4 is correct, but I am 100% sure that the rest are correct. I did the math for all of the questions and they should all be correct. I hope you have a wonderful evening!

1+1+2+3+4 is what
it says it needs to be 20 characters long

Answers

Answer:

11

Step-by-step explanation:

how do you know how to read yet not know this

Which ordered pair is a solution of the equation?

5x−2y=18

Answers

Answer:

Step-by-step explanation:

5x−2y=18

5(0)−2y=18

-2y=18

y=-9

5x−2(0)=18

5x+0=18

5x=18

x=18/5

9. If mZP is three less than twice the measure of ZQ, and ZP and ZQ are supplementary
angles, find each angle measure.

Answers

Answer: ZQ=61, ZP=119

Step-by-step explanation: knowing that these angles are supplementary, you can set up an equation using x. Angle ZP is 2x-3, and angle ZQ is x. Together they add up to 180. So 2x-3+x=180. 183=3x. X=61.

Simplify the expression 32a769. Assume a = 0 and b +0.
Enter the correct answer in the box.

Answers

Answer:

2a^2b^3 ^3squareroot4a

Step-by-step explanation:

Mr. Zhou surveyed his 25 students to find out how much time they spent doing homework each week. The results of his survey are shown in the table below PLS HELP QUICK

Answers

Answer:

I think it's 12

Step-by-step explanation: i'm sorry if you got it wrong  have the same question to.... sorry

Answer:

it is 12

Step-by-step explanation:

A group of hikers walks 3 miles east and then 1 mile north. After taking a break, they then hike 4 miles east to their final destination. What vector describes their hike from their starting position to their final destination? Let 1 unit represent 1 mile. The vector that describes their hike from their starting position to their final destination is

Answers

Answer:

The vector that describes their hike from their starting position to their final destination is [tex]\vec r = 7\,\hat{i}+1\,\hat{j}\,\,\,[mi][/tex].

Step-by-step explanation:

In this problem we assume that orthogonal axes coincide with the north and east. We proceed to translate each sentence from statement into vectorial equations:

(i) A group of hikers walks 3 miles east and then 1 mile north:

[tex]\vec r_{A} = 3\,\hat{i}+1\,\hat{j}\,\,\,[mi][/tex]

(ii) After taking a break, they then hike 4 miles east to their final destination:

[tex]\vec r_{B} = 4\,\hat{i}\,\,\,[mi][/tex]

The vector that describes their hike from their starting position to their final destination is the sum of the vectors deducted above. That is:

[tex]\vec r = \vec r_{A}+\vec r_{B}[/tex]  (1)

[tex]\vec r = (3\,\hat{i}+1\,\hat{j})+4\,\hat{i}\,\,\,[mi][/tex]

[tex]\vec r = 7\,\hat{i}+1\,\hat{j}\,\,\,[mi][/tex]

The vector that describes their hike from their starting position to their final destination is [tex]\vec r = 7\,\hat{i}+1\,\hat{j}\,\,\,[mi][/tex].

Solve: ( 1/9 )^6·81^4

Answers

Answer:

Either- 200778.9263 or 81

Step-by-step explanation:

Type this into the calculator:

First: (1/9)^6= 1.881676423x10^-6

Then: 81^4= 43046721

Then multiply the two: (1.881676423x10^-6)x 43046721= 200778.9263

                                                Or

Try this- type ((1/9)^6)x(81^4) into the calculator which comes out to 81

((1/9)^6)x(81^4)=81

Depends on which level you are at in math.

9514 1404 393

Answer:

  81

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)^c = a^(bc)

  1/a^b = a^-b

  (a^b)(a^c) = a^(b+c)

__

  [tex]\left(\dfrac{1}{9}\right)^6\cdot81^4=9^{-6}\cdot(9^2)^4=9^{-6}9^8= 9^{-6+8}=9^2\\\\=\boxed{81}[/tex]

Which figures are reflections of Figure A?
A) B and D
B) C and E
C) F
D) all of the above

Answers

B) E and C are the correct answers
Which figures are reflecting of figure A?
The answer is B) C and E

I need help please ​

Answers

Answer:

1, 2

Step-by-step explanation:

An easy way to find the solution to a system of linear equations is to just replace it with x and y.

1, 2

1+2=3(x+y+3)

2+10=12(2x+5y=12)

Answer:

(1,2)

it's correct answer....be sure it's correct

M is the midpoint of CB, CM = 3x+1, and MB = 5x−9.
Determine the value of x.

Answers

Answer:

x = 5

Step-by-step explanation:

Since both sides are given, set both sides equal to eachother.

3x + 1 = 5x - 9

Segment CM is on the left and segment MB is on the right. From now on, solve for x.

Step 1: Isolate x by itself by subtracting the lesser value

3x + 1 = 5x - 9

-3x        -3x                     the x's on the left cross out

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

 1 = 2x - 9

+9         +9                      having x on one side

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

10 = 2x

__________________________________________________________

Step 2: Divide each side by 2 to get rid of x's coefficient

10 = 2x

/2     /2

----------

5 = x

Solution: x = 5

__________________________________________________________

Solving for CB: Substitute x for both sides since x = 5

3(5) + 1 = side CM

15 + 1 = side CM

16 = side CM

__________________________________________________________

Solving for CB: Solve for the other side (segment MB)

5(5) - 9 = side MB

25 - 9 = side MB

14 = side MB

__________________________________________________________

Solving for CB: Lastly, add up the sides

16 + 14 = segment CB

30 = segment CB

__________________________________________________________

Applying the knowledge of midpoint of a segment, the value of x = 5.

Given:

[tex]CM = 3x+1\\\\MB = 5x-9[/tex]

To solve this, we would apply our knowledge of Midpoint of a Segment to create an equation that will help us solve for the value of x.

Since M as a midpoint of CB, will divide CB into equal segments.

Thus:

Given that M is a midpoint of CB, therefore,

[tex]CM = MB[/tex]

Substitute

[tex]3x + 1 = 5x - 9[/tex]

Collect like terms

[tex]3x - 5x = -1 - 9\\\\-2x = -10[/tex]

Divide both sides by -2

[tex]x = 5[/tex]

Therefore, applying the knowledge of midpoint of a segment, the value of x = 5.

Learn more here:

https://brainly.com/question/17877300

Find the slope, please.!!!!!!!!!!!!!!!!!

Answers

Answer:

I think it's one.

Step-by-step explanation:

I took this two year ago.

Answer:

the slope is 1

Step-by-step explanation:

up one over one aka 1/1 = 1

A pitcher can hold 5.2 liters of water. How many 0.4 liter glasses of water can be poured from the pitcher?
10
11
13
5

Answers

5.2/0.4 =
Answer is 13

1.)which of the following actions is NOT a form of transformation
a.) Reflection
b.) Rotation
c.) Dilation
d.) Draw

2.) If two shapes are congruent they must have...
a.) the right angle
b.) the same area
c.) the same perimeter
d.) the same shape and size

3.) If two shapes have the same area and perimeter....

a.) then the two shapes must be congruent

b.) then the two shapes have the same size

c.) the two shapes may not be congruent

d.) then the two shapes have four sides

Answers

Answer:

1. d

2. d

3. c

explanation

1. reflection, rotation, and dilations are all transformations

2. congruent shapes have to have the same shape and size, meaning they also have the same angle measures

3. sometimes, shapes may have the same area and perimeter but be different

what is the slope of this graph?​

Answers

The second choice is corrcet

Answer:

It is -2/3

Step-by-step explanation:

A punch bowl contained 2 liters of soda, 1 liter of orange juice,
and 1 liter of raspberry juice.
Select the statements that are true.
The ratio of the entire punch bowl to the juices is 2 to 4.
The ratio of the orange juice to the raspberry juice is 1 to 1.
The ratio of the entire punch bowl to soda is 4 to 2.
The ratio of soda to the entire punch bowl is 1 to 4.
The ratio of orange juice to soda is 2 to 1.

Answers

Answer:

The ratio of the orange juice to the raspberry juice is 1 to 1.

The ratio of the entire punch bowl to soda is 4 to 2.

Can someone help me with the questions in the picture?

Answers

Answer:

1) Isosceles - 2 sides are the same.

2) Scalene - all the sides are different, and an oblique angle.

3) Right Triangle - it has a right angle

4) isoscele - 2 sides are the same it has acute angles.

5) Scalene - all the sides are different, and an oblique angle.

6) equilateral - all the sides and angles are the same.

Step-by-step explanation:

Someone wanted this for an assignment so here's the answer...

Corresponding Angles!

Answers

Answer:

need my points

Step-by-step explanation:

Help me please as soon as possible

Answers

90+31= 121
3x-1+121=120
3x+120=180
-120
3x=60
Divide by 3 on both sides
X=20
X=15


90+31+3x-1=180
121+3x-1=180
120+3x=180
3x=60
X=15

What is the value of x in the equation 18-37x--42x+0.37​

Answers

Answer:4.48

Step-by-step explanation:

Cuz I sed so. (70% chance of being wrong, so just use 4.48099829836)

Pls help me and can you give tips on exponents??!

Answers

Answer:

Basically, exponents represent the number of times you multiply that number by itself. For example, 3² = 9, because you multiply 3 times 3.

Step-by-step explanation:

what is the next best rapper I NEED TO KNOw

Answers

Answer:

JJ ice fish

Step-by-step explanation:

Answer:

Cardi B

Step-by-step explanation:

Four friend do yard work for their neighbors over the weekend earning $15, &20, and $40, respectively. They decide to split their earnings equally among themselves. In total how much will the friend who earned $40 give to the others?

Answers

Answer:

$10 each

Step-by-step explanation:

There are four friends

Friend 1 = $15

Friend 2 = $20

Friend 3 = $40

Friend 4 = unknown

NOTE;

You didn't provide the earnings of the fourth friend is not given BUT the question can be solved without knowing the earnings of the fourth friend

The four friends decide to split their earnings equally among themselves

how much will the friend who earned $40 give to the others?

Amount given to others = $40 / 4

= $10

The friend who earned $40 will give $10 each to the others

Find the common difference of the arithmetic sequence –8, -2, 4, ...

Answers

Answer:

              d = 6

Step-by-step explanation:

[tex]a_1=-8\\a_2=-2\\a_3=4\\\\d=a_2-a_1=a_3-a_2=...=a_n-a_{n-1}\qquad\qquad \{n\ge2\}\\\\\left{\big{a_2-a_1=-2-(-8)=-2+8=6}\atop\big{a_3-a_2=4-(-2)=4+2=6\quad\ \,}\right\}\implies\ \ d=6[/tex]

Please help me !!!! ASAP

Answers

Answer:

the slope is 3/2

Step-by-step explanation:

(x1,y1)= (2,7)

(x2,y2)= (4,10)

slope=

[tex] \frac{y2 - y1}{x2 - x1} = \frac{10 - 7}{4 - 2} = \frac{3}{2} [/tex]

Write each phrase as an expression. 8 increased by a number x

Answers

Answer:

8x (i think is the answer)

Step-by-step explanation:

because the starting number is 8

and is being multiplied by unknown number (x)

What is the slope on this graph

Answers

Answer:

Zero slope

Step-by-step explanation:

the line is horizontal on the y axis, so it has a zero slope

and because

i aint never seen two pretty best friends, its always one of em gotta be ugly

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