For a certain urban area, in a random sample of 7 months, an average of 28 mail carriers were bitten by dogs each month. The standard deviation of the sample was 3.5. Find the 99% confidence interval of the true mean number of mail carriers who are bitten by dogs each month. Assume the variable is normally distribute.
a. (29.38)
b. (25, 33)
c. (23,33)
d. (23.35)

Answers

Answer 1

Answer:

C

Step-by-step explanation:

Mean = 28

S = 3.5

N = 7

We use the t distribution here.

Level of significance = 99%

Degree of freedom = 7-1 = 6

Using the t table at 99%, and df of 6

T' = t tabulated = 3.7

Confidence interval =[ (mean - t's)/√n , mean + t's)/√n]

= 28-3.7*3.5/√7 , 28+3.7*3.5/√7

= 23.11, 32.89

When approximated

= 23, 33 after rounding to the nearest integer

Therefore option c is the answer


Related Questions

Find an equation for the line below.

Answers

Answer:

y=mx+b

y=1/3x-3.5

i think thats the answer not completely sure tho ik 1/3 is the slope

Step-by-step explanation:

Consider these functions:

f(x)= -1/2x^2 + 5x
g(x)= x^2 + 2

What is the value of f(g(-2))?

Answers

Answer:

The value of f(g(-2)) is 12.

Step-by-step explanation:

We'll start by solving g(-2):

[tex]g(-2)\\= (-2)^2 + 2\\= 4 + 2\\= 6[/tex]

Now we can take that value and plug it into function f:

[tex]f(6)\\= \frac{-1}{2}6^2 + 5 * 6\\= -36/2 + 30\\= -18 + 30\\= 12[/tex]

Alternatively, you can work out a new single function that in itself describes f(g())

[tex]f(g(x)) = -\frac{1}{2}g(x)^2 + 5g(x)\\= -\frac{1}{2}(x^2 + 2)^2 + 5(x^2 + 2)\\= -\frac{1}{2}(x^4 + 4x^2 + 4) + 5x^2 + 10\\= -\frac{1}{2}x^4 - 2x^2 - 2 + 5x^2 + 10\\= -\frac{x^4}{2} + 3x^2 + 8[/tex]

and try plugging -2 into the new function

[tex]= - \frac{-2^4}{2} + 3(-2)^2 + 8\\= -16 / 2 + 3 * 4 + 8\\= -8 + 12 + 8\\= 12[/tex]

The value of f(g(-2)) for the given expression will be 12.

What is an expression?

Expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

We have,

f(x) = [tex]\frac{-1}{2} x^2[/tex]  + 5x

And,

g(x) = x² + 2

Now,

For, x = -2,

i.e.

g(x) = x² + 2

Now,

Substituting the value of x = -2,

g(-2) = (-2)² + 2

On solving,

We get,

g(-2) =  6

Now,

For, f(g(-2)),

f(x) = [tex]\frac{-1}{2} x^2[/tex]  + 5x

i.e.

Substituting the value of g(-2) =  6,

i.e.

f(g(-2)) = [tex]\frac{-1}{2} (g(-2)^2)[/tex] + 5(g(-2))

i.e.

f(g(-2)) = [tex]\frac{-1}{2} *6^2[/tex]  + 5 * 6

On solving,

We get,

f(g(-2)) = -18 + 30

i.e.

f(g(-2)) = 12

So, the value of f(g(-2)) for the given expression is 12.

Hence, we can say that the value of f(g(-2)) for the given expression will be 12.

To know more about expression click here

https://brainly.com/question/953809

#SPJ2

is 0.7 , 0.38 , 0.09 in the correct order? (highest to lowest)

Answers

Answer:

0.7, 0.38, 0.09

Step-by-step explanation:

0.7 > 0.38 > 0.09

Answer:

Yes

Step-by-step explanation:

0.7=0.70

0.38 is well 0.38

0.09 is basically 0.09

i don’t know how to do this please helppp

Answers

Answer:

Given the 2 values, height and the base, of these 2 triangles, we can assume that they are similar (meaning they share the same angles) as we have no other information to determine the height of the tree.

Therefore, if these triangles are similar, their corresponding sides are proportional. In other words, PZ/RT = QZ/ST or RT/PZ=ST/QZ

Hence, if we find the ratio of this, we can use it to find the side h

QZ/ST=PZ/RT

48/12=PZ/4

PZ/4=48/12

(PZ/4)3=48/12

PZ(3)/12=48/12

48/3=16

16=PZ.

3Step-by-step explanation:

Derek weighs 155 pounds and drives a utility vehicle that can carry no more than 220 pounds. He plans to use his utility vehicle to haul blocks to his backyard. Which inequality shows the number of 3 pounds, b, Derek can haul at one time on his utility vehicle

Answers

By the looks of this the answer is E

Derek weighs 155
155+220

y ≥ 12x – 1
y < 43x – 2

Answers

Answer:

Step-by-step explanation:

The solution to this problem is a graph.

Graph y ≥ 12x - 1:  this is a straight solid line with slope 12 and y-intercept -1.  Due to the presence of the  ≥  operator, we must shade (darken) the entire area above this line.  

Next, graph y < 43x – 2 using a dashed line (due to the < operator):  The slope is 43 and the y-intercept is -2.

Determine where the two lines intersect, either from the graph or algebraically.  If algebraically:

equate the two givens:

y = 12x - 1 = y = 43x – 2, which simplifies first to:

12x - 1 = 43x - 2, and second to

1 = 43x - 12x = 31x, which results in x = 1/31.

Substituting 1/31 for x in the first equation, we get:

y = 12(1/31) - 1, or y = 12/31 - 1, or y = 12/31 - 31/31, or y = 19/31

The two graphs intersect at (1/31, 19/31)

Shade (darken) the area beneath (under) the dashed line y < 43x – 2.

The solution is the area that you have darkened twice.

The average number of hours for a random sample of amazon orders for a specific product was 39 hours last year. It is believed that the opening of a nearby warehouse has led to a reduction in the shipping and delivery time. To test the validity of this belief, the hypotheses are

Answers

Answer:

H0: μ ≥ 39

Ha : μ < 39

Step-by-step explanation:

Given:

Specific production hour = 39

Explanation:

The given data is a left tailed test.

So,

The null hypothesis is ;

H0: μ ≥ 39

The alternative hypothesis is ;

Ha : μ < 39

Convert 3.29 to a reduced fraction.

Answers

Answer: 329/100

Step-by-step explanation:

3 29/100 is the answer

Marcus was showing how he solved a division problem with the area model below. His pen exploded ink on some of his work.

What is the divisor that is covered with ink on the left side of the model?

A. 100
B. 80
C. 56
D. 29

Answers

Answer:

C

Step-by-step explanation:


If one side of a cube is
(3x + 5) in, what is the volume of the cube? Represent volume
as a simplified polynomial.

Answers

It will be 8 this is the answer

Anybody know how to do this?

Answers

It’s A) 81
136-55 is that

Answer:

81°

Step-by-step explanation:

So you subtract those two number to find the missing angle and get 81°.

A player can move from point to point only in a direction that includes a downward motion (slanted or not). In how many distinct ways can a player move from the top to bottom?

Answers

Answer:

11 ways

Step-by-step explanation:

There are 11 ways, 5 of them are straight and 6 are involving side moves

See attached picture

Need answer fasssssst

Answers

Answer:

Step-by-step explanation:

You can buy an 8-pack of soda for $7.92 or a 12-pack for $11.64. Which is the better buy?

Answers

Answer:

I would assume the 8-pack to be the answer because:

Step-by-step explanation:

8 ÷ 7.92 = 1.01

12 ÷ 11.64 = 1.03

1.01 < 1.03

Answer:

I believe the better buy is the twelve pack.

Step-by-step explanation:

If you look, 7.92 is closer to 8, which almost makes it 1 dollar per soda, where the 11.64 is farther from twelve. :) i hope this helps you!

6th-grade unit 10 lesson 4 review page 645

Answers

Answer:

?

Step-by-step explanation:

huh ???
where is the question
I can’t help without the question ..?!

Santiago's $2900 monthly budget is represented by the pie chart below.
All amounts are in dollars. *
$69
$109
$56
$76

Answers

Answer:

what is the question?

Step-by-step explanation:

points

shhsusisueshjsjs​

Answers

Answer:

THNX Really needed this

Step-by-step explanation:

BRAINLIEST PLSSSS

Answer:

thanks for the points

Step-by-step explanation:

In a class of 30 students, 22 study physics (P) and 19 study chemistry. What is the number of students who study both physics and chemistry?​

Answers

Answer:

11

Step-by-step explanation:

22+19=41

41-30=11

22 study physics, 19 study chemistry and 11 study both

If you made $47,000 in 2020, and are getting a 3% raise, how much will you make in 2021? *

Answers

Answer:

48,410$ in 2021

Step-by-step explanation:

3% of 47,000 is 1,410

add the 3% increase to 47,000 to get 48,410$

Answer:

[tex]48[/tex],[tex]410[/tex]

Step-by-step explanation:

__________________________________________________________

[tex]47[/tex],[tex]000[/tex] [tex]in[/tex] [tex]2020[/tex]

[tex]48[/tex],[tex]410[/tex] [tex]in[/tex] [tex]2021[/tex]

__________________________________________________________

[tex]This[/tex] [tex]is[/tex] [tex]because[/tex] [tex]3[/tex]% [tex]of[/tex] [tex]47[/tex],[tex]000[/tex] [tex]is[/tex] [tex]1[/tex],[tex]410[/tex]

[tex]47[/tex],[tex]000[/tex] + [tex]1[/tex],[tex]410[/tex] = [tex]48[/tex],[tex]410[/tex]

__________________________________________________________

Hope this helps! <3

__________________________________________________________

Mary has two job offers.
• The first job pays $8.00 an hour plus a $100 bonus.
• The second job pays $8.50 an hour plus an $80 bonus.
What equation would represent Mary's first job offer.

Answers

Answer:

8h+100

8.50h+80

Step-by-step explanation:

The equation for her first job is y = 8h + 100 and the equation for her second job is y = 8.5h + 100

What is the linear system?

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

Mary has two job offers.

The first job pays $8.00 an hour plus a $100 bonus.

The second job pays $8.50 an hour plus an $80 bonus.

Let h be the number of hours and y be the income.

The equation for her first job will be

y = 8h + 100

The equation for her second job will be

y = 8.5h + 100

More about the linear system link is given below.

https://brainly.com/question/20379472

Angie wants to buy Christmas presents for all 7 of
her cousins.
She wants to spend $4.75 on each one.
How much will she spend all together?

Answers

Answer:

$33.25

this is your answer because you multiply $4.75 times 7 friends and get a total of $33.25

What is the equation of the line in slope intercept

Answers

Answer:

y = -5/4 + 5

Step-by-step explanation:

y = mx + b

m is the slope, and b is the y-intercept

The slope is going down so it;s a negative. From one point to the other, it goes down 5 units while going to the right 4 units. So rise/run = -5/4

y-intercept is where the line intercepts on the y-axis, in this case the line goes through 5 on the y-axis, so it's 5

0.41% of what is 21.84 plz hurry

Answers

Answer:

0.08

Step-by-step explanation:

i think because 21.84 percent of 0.41 is 0.08 so 0.41 of 0.08 is 21.84 i think its right if not im sorry

How do you know that there exists a real number x>0 such that x^2 = 3?
no answer needed, just take the points.

Answers

Answer:0x0

Step-by-step explanation: there will have to be a number as its infinite numbers apparently

Answer:

Thought I would show you that my question you commented on was incomplete like I said, thanks for the points though.

Step-by-step explanation:

Line segment W Y is an altitude in triangle WXZ.


Triangle W X Z is shown. An altitude is drawn from point W to point Y on side Z X, forming a right angle. Angles Z W Y and W X Y are congruent.


If ΔYWZ ~ ΔYXW, what is true about AngleXWZ?


AngleXWZ is an obtuse angle.

AngleXWZ is a right angle.

AngleXWZ is congruent to AngleWXY.

AngleXWZ is congruent to AngleXZW.

Answers

Answer:

∠ XWZ is a right angle.

Step-by-step explanation:

See the given diagram.

In triangle WXZ, WY is an altitude.

So, ∠ WYZ = ∠ XYW = 90°

Now, given that ∠ ZWY = ∠ WXY.

Now, from Δ XYW, since, ∠ XYW = 90° so, ∠ WXY + ∠ YWX = 90° ....... (1)

⇒  ∠ ZWY + ∠ YWX =  90° {Since, ∠ ZWY = ∠ WXY}

⇒ ∠ XWZ = 90°

Therefore, the angle XWZ is right angle. (Answer)

Answer:

B. XWZ is a right angle

Step-by-step explanation:

edge 2020 plz vote brainliest

What is the domain of f(x)=(1/3)^x

Answers

Answer:

x + R

Step-by-step explanation:

Answer:y>0

Step-by-step explanation:

Find the better definition of function

1. A graph of a simple function. By transforming the function in various ways, the
graph can be translated, reflected, or otherwise changed.

2. Two numbers written in a certin order. Usually with the format of (x, y)

3. A special relationship where each input has a single output.

4. A graph of plotted points that show the relationship between two sets of data.

Answers

3. a special relationship where each input has a single output

Is 25 cars in 5 days; 60 cars in 12 days a proportion. Explain

Answers

Yes because it fits the rule of 5 cars a day so 5 cars for 5 days is 25 and 5 cars for 12 days is 5*12= 60

What is 20x - y = -40 in
slope-intercept form?

Answers

Answer:

y=20x+40

Step-by-step explanation:

slope-intercept form is y=mx+b. In order to place the equation into such format, you first need to move the 20x to the right, meaning you subtract it from both sides. you are left with -y=-20x-40. Since y cannot be negative or have any coefficient other than positive 1, you divide both sides by -1. -20/-1=20,, -40/-1=40,,-1/-1=1. Therefore, you are left with y=20x+40

Solve the equation and determine how many solutions for the equation.

4c-20=-20+4c

Answers

Answer:

16c

Step-by-step explanation:

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