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

Pleas help meh!!I really need help!!!

Answers

Answer:

360ft^2

Step-by-step explanation:

We know that the height is always 8 ft. So lets find the area of two of the 4 walls.

We multiply by 2 because there are two of the same wall.

2(8ft x 10ft) = 160ft^2

Now lets find the area of the other wall.

2(8ft x 15ft) = 240ft^2

Now we add it up

160 + 240 = 400

400ft^2

But wait! We aren't done yet! We still have to subtract out the door and window which is 60ft^2.

400 - 60 = 360

360ft^2

Consider Brainliest! Hope I helped!

PLEASE ITS ALREADY LATE AND I NEED TO TURN IT TODAY
Example 1 Fatima works as an intern at a construction company earning $10 per hour. Her office is open 8
hours per day, 5 days a week. Analyze Fatima's potential earnings for the 12 weeks she interns at the
company this summer.
A. Write a function rule to model
the situation
B. Identify the independent
variable
C. Identify the dependent
variable
f(x) =

Answers

Answer:

4800

Step-by-step explanation:

I attached a picture of the work.

We need to made a function that will help us solve this

f(x)=dx; d = $ per hour, x = # of hours

step 1) identify d (in this case, the money made per hour) which = 10

f(x)=10x

step 2) identify x (# of hours total) which = 480

f(x)=10(480)

step 3) solve the equation

f(x)=4800

independent variable:

the number of hours

dependant variable:

the amount of money made after 12 weeks

Find the amplitude:
y= 5 cos (1/4x)

Answers

Answer:

for 5cos(1/4x)

Amplitude=5

help pleaseeeeeeeeee​

Answers

Answer:

C.

Step-by-step explanation:

Nick can do a certain job in 3 hours less than it takes bonnie to do the same job. If they complete the job together in 9 hours, what equation could be used to determine how long it will take bonnie to do the job alone

Answers

Answer:

Step-by-step explanation:

Let the number of hours Nick does the job alone to be x - 3 hours

Hence, in 1 hour, Nick has done 1/x - 3

Together they complete the job in 9 hours

Hence, let's represent the job as 1

9/x + 9/x - 3 = 1

Multiply through by (x)(x-3)

9(x- 3) + 9(x) = 1

9x - 27 + 9x = (x)(x-3)

-27 = x² - 3x

x² - 3x +27 = 0

Solve the equation. If the equation is an identity or if it has no solution, write identity or no solution.

1) 7n + 5 − 9n = 8 − 2n − 3
2) 4(t + 2) = 10
3) 4y+2=−13(8−12y)

Answers

1) Identity
2) 1/2
3) 53/76

The factory makes boxes that each hold one candle. The boxes measure 1 inch × 1 inch × 9 inches. The factory owner makes a stack of 40 candle boxes. What is the volume of the stack?

Answers

Answer:

360 inch^3

Step-by-step explanation:

Volume of 1 box = 1 x 1 x 9 = 9 inch^3

Volume of 40 boxes = 40 x 9 = 360 inch^3

This is a topic on mensuration. If you wish to explore more into this topic you can give me a follow on Instagram (learntionary). I'll be uploading notes on this topic soon. At the meantime, you can take a look at other topics or some tips as well!

Answer:

360 in

Step-by-step explanation:

L × W × H

1 × 1 ×9 = 9in

9 × 40 = 360 in

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!

hiii, this geometry please help

Answers

answer is 50!!!!!!!!!!!
B. 100



Explanation:


If you just look at it like a straight line then you know it equals 180° but since it’s cut into pieces we have to figure out the others first.

So on the triangle on the bottom it’s 50 and 50 so add those and subtract from 180 to find out what the third angle in the triangle is.
50+50=100
180-100= 80°
Now the angle to the right of the 60° is going to be 80 because they’re corresponding.
So, if the one side of the split line is 80 then the other must be 100°.

PLZ ANSWER ASAP!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: C

Step-by-step explanation: it is stretched out more.

Answer:

C

Step-by-step explanation:

C Is An Oval Not A Circle, Therefore it is different

please hurry
making it 18 points !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The cost of catering a dinner is $11.95 per person plus $25 for delivery and setup. Which statement is true about the graph of the function that represents the average cost per person?
The horizontal asymptote y = 0 represents that the cost per person approaches $0 as the number of people increases.
The horizontal asymptote y = 11.95 represents that the cost per person approaches $11.95 as the number of people increases.
The vertical asymptote x = 0 represents that the cost per person approaches $0 as the number of people increases.
The vertical asymptote x = 11.95 represents that the cost per person approaches $11.95 as the number of people increases.

Answers

B.) The horizontal asymptote y = 11.95 represents that the cost per person approaches $11.95 as the number of people increases.

Good luck with the test! :)

The horizontal asymptote y = 0 represents that the cost per person approaches $0 as the number of people increases.

What are asymptotes?  

"An asymptote is a straight line that constantly approaches a given curve but does not meet at any infinite distance. In other words, Asymptote is a line that a curve approaches as it moves towards infinity."

"The curves visit these asymptotes but never overtake them. The method opted to find the horizontal asymptote changes involves comparing the degrees of the polynomials in the numerator and denominator of the function. If both the polynomials have the same degree, divide the coefficients of the largest degree terms."

From the equation, y = 11.95x + 25

And from the given graph it is clear that the horizontal asymptote y = 0 represents that the cost per person approaches $0 as the number of people increases.

Hence, A is the correct option.

To know more about asymptotes here

https://brainly.com/question/17767511

#SPJ2

A section of a railway has a slope of approximately 0.47. In this section, a vertical change of 1 unit corresponds to a horizontal change of what length? Round your answer to the nearest hundredth.

Answers

Step-by-step explanation:

A slope of 0.47 means that, for every 100 feet of horizontal change, the vertical rise = 47 feet

We can use a proportion here

0.47 / 1 = 1 / x

Cross-multiply

0.47x = 1*1

0.47x = 1

Divide both sides by 0.47

x = about 2.13 units

find the measure of y
please ​

Answers

Answer:

y=140

Step-by-step explanation:

if it's an option

y =140
It should be a option

hi can someone help me with this

Answers

6-3y-9y+5.7
3y-9y+6+5.7
6y+11.7

You can’t do anything further bc y doesn’t equal anything

Answer:

=−12y+11.7 I believe it's that but I am not completely sure

I believe it is

HELP THIS IS DUE TONIGHT!!

What is the LCM (least common multiple) of the following

16ab^3 5a^2b^2 20ac

Also ^ means that it’s an exponent

Answers

80a^2b^3c is your answer I think

Solve for x.
75°
11x-2

Answers

Answer:

x=7

Step-by-step explanation:

ILL GIVE Brainliest
find the area of the polygon

Answers

Answer:

27.5 units^2

Step-by-step explanation:

Total area = Area of triangle ILH + Area of parallelogram JKLI

Area of triangle ILH

= 1/2 * b * h

= 1/2 * 5 * 5

= 12.5 units^2

Area of parallelogram JKLI

= bh

= 3 * 5

= 15 units^2

Total area

= Area of triangle ILH + Area of parallelogram JKLI

= 12.5 + 15

= 27.5 units^2

Read and understand the situation below, and make a complete plan to solve Mang Jose’s problem.

Mang Jose wants to paint the exterior of his house. He needs to know how many gallons of paint he would need. So, he asks his friend Juan to help him, according to Juan one (1) gallon of paint can cover an area of 250 square feet. Help Mang Jose prepare a budget for his project if his house exterior is 2700 square feet. Do a research on the different prices of one (1) gallon of paint depending on its brand name and choice of colors. Make a proposal budget for three (3) different colors of paint with its corresponding brand name.

Answers

Explanation:

Let's assume these are the different prices of one (1) gallon of paint for three different brand name and choice of colors:

1. Delux brand: Red = $19 per gallon

2. Golden sun: White = $15 per gallon

3. Luxury: Green = $20 per gallon.

Based on the data above, Mang Jose's budget could be drafted:

1. if he chooses the Delux brand/color red, then he will need approximately 11 gallons of the paint (2700/250 square fit) = 10.8, which would cost = $209 (11*$19).

2. if he chooses the Golden sun brand/color white then he will need approximately 11 gallons of paint  (2700/250 square fit) = 10.8, which would cost = $165 (11*$15).

3. if he chooses the Luxury brand/color green then he will need approximately 11 gallons of paint  (2700/250 square fit) = 10.8, which would cost = $220 (11*$20).

Mushrooms are healthy food for wild songbirds. Adam buys a 3.5 oz container of mealworms for $8.75. Marco buys a 3.75- oz container of mealworms for $9.75. ​Which container is a better buy?

Answers

Answer:

Adam's container

Step-by-step explanation:

Given

Adam

[tex]Weight = 3.5\ oz[/tex]

[tex]Amount = \$8.75[/tex]

Macro

[tex]Weight = 3.75\ oz[/tex]

[tex]Amount = \$9.75[/tex]

Required

Determine the better buy

First, we need to determine the unit cost per oz of each

i.e.

[tex]Unit\ Cost = \frac{Amount}{Weight}[/tex]

For Adam:

[tex]Unit\ Cost = \frac{8.75}{3.5}[/tex]

[tex]Unit\ Cost = 2.5[/tex]

For Marco:

[tex]Unit\ Cost = \frac{9.75}{3.75}[/tex]

[tex]Unit\ Cost = 2.6[/tex]

The better buy of both is the one with the smaller unit cost.

Since 2.5 < 2.6, we can conclude that Adam's container is a better buy

subtract (7x^5-12x^2y+33y^2) from (5x^5-5x^2y+9y^2) simplify your results:

Answers

Answer:

- 2 [tex]x^{5}[/tex] + 7x²y - 24y²

Step-by-step explanation:

( 5 [tex]x^{5}[/tex] - 5x²y + 9y² ) - ( 7 [tex]x^{5}[/tex]  - 12x²y + 33y² ) =

5 [tex]x^{5}[/tex] - 5x²y + 9y² -  7 [tex]x^{5}[/tex]  + 12x²y - 33y² =

( 5 [tex]x^{5}[/tex] - 7 [tex]x^{5}[/tex] ) + ( - 5x²y + 12x²y ) + ( 9y² - 33y² ) =

- 2 [tex]x^{5}[/tex] + 7x²y - 24y²

What is the equation of in line slope intercept from that has a slope of 4 and goes through the point -8 -16

Answers

Answer:

Step-by-step explanation:

is your qustion like -8-16 because its -24

Answer:

y = 4x + 16

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 4, thus

y = 4x + c ← is the partial equation

To find c substitute (- 8, - 16) into the partial equation

- 16 = - 32 + c ⇒ c = - 16 + 32 = 16

y = 4x + 16 ← equation of line

An architect is planning a triangular pool with a perimeter of 99 ft.Two of the sides measure 20 and 42, respectively, what is the length of the missing side(x)?Solve for x

Answers

Given:

Perimeter of the triangle = 99 ft

Length of two sides are 20 ft and 42 ft.

To find:

The length of missing side.

Solution:

Let the missing side be x.

Perimeter of a triangle is the sum of all sides of that triangle.

[tex]x+20+42=99[/tex]

[tex]x+62=99[/tex]

Subtract 62 from both sides.

[tex]x=99-62[/tex]

[tex]x=37[/tex]

Therefore, the missing side of the triangle is 37 ft.

Can someone please answer 4 divided by 29.5 thank you!

Answers

Answer:

First when dividing you will need to remove the decimal point by multiplying by 10 IN THIS CASE. Once you found the answer, you need to bring back the decimal point.

40÷295

= .135593

What’s the answer for 65°
15x + 10

Answers

Answer:

7

Step-by-step explanation:

65° + 15x + 10 = 180° (co-interior angles are equal)

15x + 75° = 180°

15x = 180° - 75°

15x = 105°

x = 105/15

x = 7

The price of a television was reduced $250 to $200. By the percentage was the price of the television reduced?
A. 20%
B. 25%
C. 80%
D. 50%

please help I'm not good at math!!

Answers

Answer:

B. 25%

Step-by-step explanation:

The price decreased by 50, and that is 25% of 200.

Answer:

The answer is 20%

Step-by-step explanation:

I'm not amazing at percentages so this is what I did. Search up 20 percent of 250. Then it says 50. 250 minus 200 is 50, so the answer is 20%

I hope this helped and if it did I would appreciate it if you marked me brainliest.

thank you and have a nice day!

find the value of 3v - 10 given that -2v + 4 = 8​

Answers

Answer:

-16

Step-by-step explanation:

v=-2

I found this because since it is given that -2v+4=8; If v=-2 then the equation is true, because -2(-2) + 4 = 8. So since v=-2, plug in -2 into v of 3v-10; which would be (3(-2))-10, which is equal to -16.

Please answer these questions for 8th Grade Algebra! First-person to answer will be marked as brainiest! Worth lots of points!

Answers

1. x<=20

2. k<0

3. d<-3

4. m<=11

5. a>=3

6. 6<-5

This should help

Find the slope of the line passing through the points (-9, 4) and (-9, -9)

Answers

Answer:

There is no slope, it is undefined and the line would continue to go up from the position x= -9

brainliest if correct please

Which is the "The sum of 4 times a number and 7" as an algebraic expression?
A)4(x+7)
B)(4.7)+x
C)4-7+x
D)4x+7

Answers

The Answer is A because you are multiplying 4 into the a number (x) and 7 in the parentheses
ITs a because u is timing the number that is reduce

WILL GIVE BRAINLY IST TO WHOEVER answers correctly and QUICK
Lucinda is writing a coordinate proof to show that a diagonal of a parallelogram partitions the parallelogram into two equal areas.

Enter your answers in the boxes to complete Lucinda's proof.

Since KLMN is a parallelogram and a parallelogram's opposite sides are parallel and congruent, the coordinates for M are (4x,__).

In △KMN, the length of the base is ___ and the height is ___. So an expression for the area of △KMN is ___.

In △KLM, the length of the base is 3x and the height is 2y. So an expression for the area of △KLM is ___.

Comparing the area of the two triangles that are formed by a diagonal of the parallelogram shows that a diagonal of a parallelogram partitions the parallelogram into two equal areas.

Answers

Answer: Do you have a picture or a diagram

Step-by-step explanation:

Not the answer but I need help .. it’s the same question but I’ve added the diagram if anyone can help?

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