You measure 43 randomly selected textbooks' weights, and find they have a mean weight of 75 ounces. Assume the population standard deviation is 12.4 ounces. Based on this, construct a 90% confidence interval for the true population mean textbook weight.

Answers

Answer 1

Answer:

by the empirical rule, 95% of the population is within 2 standard deviations of the mean

55 + or - 2(9.2) = 55+ or - 18.4 = (36.6,73.4)

95% of the population falls between 36.6 and 73.4 ounces

Step-by-step explanation:


Related Questions

m = -(4 + m) + 2


This is on khan academy 7 grade math.

If correct answer will mark Brainlyest

Answers

Answer:

-1

sorry if this is wrong I really am

Answer:

m= -1

Step-by-step explanation:

Have a nice day

On a particular stretch of highway, the State Police know that the average speed is 62 mph with a standard deviation of 5 mph. On a busy holiday weekend, the police are concerned that people travel too fast. So they randomly monitor speeds of a sample of 50 cars and record an average speed of 66 mph. Use central limit theorem to calculate

Answers

Using the normal distribution and the central limit theorem, it is found that there is a 0% probability of a sample of 50 cars recording an average speed of 66 mph or higher.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

In this problem:

Mean of 62 mph, hence [tex]\mu = 62[/tex].Standard deviation of 5 mph, hence [tex]\sigma = 5[/tex].Sample of 50 cards, hence [tex]n = 50, s = \frac{5}{\sqrt{50}} = 0.7071[/tex]

The probability of a sample of 50 cars recording an average speed of 66 mph or higher is 1 subtracted by the p-value of Z when X = 66, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{66 - 62}{0.7071}[/tex]

[tex]Z = 5.66[/tex]

[tex]Z = 5.66[/tex] has a p-value of 1.

1 - 1 = 0.

There is a 0% probability of a sample of 50 cars recording an average speed of 66 mph or higher.

A similar problem is given at https://brainly.com/question/24663213

1) Company A charges $55 per hour and a service charge of $250 and Company B charges $60
per hour and a service charge of $225. At what time are they equal?

Answers

Answer:

5 hours

Step-by-step explanation:

Charlie and Daniella each began a fitness programme. On day one, they both ran 500m. On each subsequent day, Charlie ran 100m more than the previous day whereas Daniella increased her distance by 2% of the distance run on the previous day.

(a) Calculate how far Charlie ran on day 20 of his fitness programme. (1) Daniella ran on day 20 of her fitness programme. On day n of the fitness programmes, Daniella runs more than Charlie for the first time.

b) Find the value of n

Answers

Answer:

a) 2400m on the 20th day for Charlie.

1) 728.41m of 20th day for Daniella.

Didn't find n, sorry.

Charlie ran 2400m on day 20 of his fitness program and Daniella ran 728m on day 20 of her fitness program.

It is given that Charlie and Daniella on day one both ran 500m on each subsequent day.

Charlie ran 100m more than the previous day.

Daniella increased her distance by 2% of the distance run on the previous day.

It is required to calculate how far Charlie and Daniella ran on day 20 and the value of n.

What is a sequence?

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

Charlie ran 500m on the first day:

[tex]\rm a_1 = 500[/tex]

[tex]\rm a_2 =600[/tex] ( because charlie ran 100m more than the previous day)

It is an arithmetic progression in which the difference between two consecutive terms:

d = 600 - 500 ⇒ 100

and [tex]\rm a_n = a+d(n-1)[/tex]

[tex]\rm a_2_0 = 500+100(20-1)\\\\\rm a_2_0 = 2400m[/tex]( ∵ n = 20 )

Daniella ran 500m on the first day:

[tex]\rm b_1 = 500[/tex]

[tex]\rm b_2 = 500+ 500\times2 \%[/tex]  (because Daniella increased her distance by 2% of the distance run on the previous day)

We can write [tex]\rm n^t^h[/tex] terms:

[tex]\rm b_n= 500(1+2\%)^n^-^1[/tex]

[tex]\rm b_2_0= 500(1+2\%)^2^0^-^1[/tex]

[tex]\rm b_2_0= 500(1+0.02)^1^9\\\\\rm b_2_0 = 500\times 1.02^1^9\\\\\rm b_2_0 = 500\times1.456 \Rightarrow 728.40 \approx 728 m[/tex]

[tex]\rm b_n > a_n[/tex]  (given in the question)

[tex]\rm500(1+2\%)^n^-^1 > 500+100(n-1) \ \ or \\\\\rm500(1+2\%)^n^-^1 > 100n+400[/tex]

The above expression is not true for all the values of 'n' ie. 'n' can not be determined.

Thus, Charlie ran 2400m on day 20 of his fitness program and Daniella ran 728m on day 20 of her fitness programme.

Learn more about the sequence here:

brainly.com/question/21961097

SOLVE THE CORRECT ANSWER!

1.234.45 added to the difference of 89 and 23.765

2. increase 234.57 by the difference of 5.23 and 2.678

3.subtract 68.501 from the sum of 21.54
and 80.27

please paki answer po ng maayos need ko po ng solution​

Answers

Step-by-step explanation:

1.

123445+(89-23765)=99769

2.

234.57+(5.23-2.678)=237.122

3

(21.54+ 80.27)-68.501=33.309

Numeros comprendidos entre 20

Answers

One, two, three, four, five, six, seven, eight, nine, ten, eleven, twelve, thirteen, fourteen, fifteen, sixteen, seventeen, eighteen, and nineteen/Uno, dos, tres, cuatro, cinco, seis, siete, ocho, nueve, diez, once, doce, trece, catorce, quince, dieciséis, diecisiete, dieciocho y diecinueve

You need spoons, cones, and bowls for your store. The spoons come in packs of 100, cones come in packs of 60, and cups come
in packs of 80.
1. How many spoons, cones, and cups will you have if you order 8 packs of each?
2. How many customers will you be able to serve? Will every person need a cup, spoon, and a cone?
3. If you estimate that you will have 1500 customers next week, how would you change your order to make sure everyone can be served?

Answers

Step-by-step explanation:

Number 1

Number of spoons= no of boxes × individual no of spoons

= 100 × 8 = 800 spoons.

Number of cones = no of cones in a box × no of boxes

= 60 × 8 = 480

Number of cup = no of cups in a box × no of boxes

= 80 × 8 = 640.

Total = 800 + 480 + 640 = 1920

Number 2

If everyone needs a cup, spoon and cones, it means they all need 3 items.

no of people you can serve = 1920 ÷ 3

= 640 people.

Carly spent $150 on supplies and $125 on labor for her home. She could not spend more than $500 total. Which of these is a valid statement?

Answers

Answer:

she could spend up to $225 on more supplies

Step-by-step explanation:

the total amount of supplies and labor has to be less than or equal to $500. If she spent $150 and $125=$275 on supplies and labor, the equation would be 150+125+x≤ 500. Isolate x, to get x≤ $225. The value of x has to be less than or equal to $225.

math models help PLEASE!

(20x5+10)-(8x8-4)



a . 58

b. 50

c. 40

Answers

Answer:

Answer is C, 40

Step-by-step explanation:

(100)-(60)

At a candy factory, a machine is putting candy into a container. the graph shows the amount of candy (in pounds) in the container vs time (in minutes). SEE GRAPH BELOW AND ANSWER THE FOLLOWING QUESTIONS PLEASE.

A.) What is the amount of candy in the container at 0 minutes?

B.)Choose the stament that best describes how the time and candy are related then fill in the blank.

B 1.) As time increases the amount of candy in the container decreases. At what rate is the amount of candy decreasing?
_____ pounds per minute?

B 2.) As time increases the amount of candy in the container increases. At what rate is the amount of candy increasing?
____pounds per minute?

Answers

Answer:

  A) 20 pounds

  B.2) (increasing) 60 pounds per minute

Step-by-step explanation:

A) The graph shows the container has 20 pounds in it at x=0 minutes.

__

B) The graph goes up to the right (is increasing).

At minute 0, the container has 20 pounds.

At minute 1, the container has 80 pounds.

The increase in one minute is 80-20 = 60 pounds per minute.

The initial amount of candy in the container is 2 pounds.  As time increases, the amount of candy in the container decreases at a rate of 1 pound per minute.

A.) The amount of candy in the container at 0 minutes is 2 pounds.

B1.) As time increases, the amount of candy in the container decreases. The rate at which the amount of candy is decreasing is 1 pound per minute.

B2.) As time increases, the amount of candy in the container increases. However, this option is not applicable in this case as the graph shows a decreasing trend.

Learn more about the topic of Rate of Change here:

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#SPJ3

Determine whether the graph represents a proportional relationship. A graph is shown. The x-axis is labeled from 0 to 16. The y-axis is labeled from 0 to 16. Four points are shown on the graph on ordered pairs 0, 2 and 1, 6 and 2, 10 and 3, 12. These points are joined by a line. The label on the x-axis is Number of Cars. The title on the y-axis is Number of Wheels. Yes, it is a proportional relationship because the graph goes through the origin Yes, it is a proportional relationship because the graph is a straight line No, it is not a proportional relationship because the graph is not a straight line No, it is not a proportional relationship because the graph does not go through the origin

Answers

Answer:

no its not a proportion

Step-by-step explanation:

because the line has to be straight unless the graph is scrap

Answer:

"Yes, it is a proportional relationship because the graph is a straight line"

Step-by-step explanation:

Your welcome ^^

What is the value of m

Answers

35.6 355⅝5555555555555555555545455555555


Select the best appropriate choice below.

Decide whether you have enough information to determine that the triangles are congruent.
If they are congruent, explain why by selecting the appropriate reason.
. .
•ASA Triangle Congruence Theorem
•SAS Triangle Congruence Theorem
•SSS Triangle Congruence Theorem
•AAS Triangle Congruence Theorem
•HL Triangle Congruence Theorem
•Not Enough Information To Determine Triangles Congruent
PLEASE HELP ;-;

Answers

answer choice 4 (AAS)

Determine f(4)+2×g (2)

Answers

Answer:

4f+4g

Step-by-step explanation:

Question
Find the area of the parallelogram.



Area =
units²

Answers

Answer:

9 units²

Step-by-step explanation:

Parallelogram area = base × height

Base = 3 units

Height = 3 units

Area = 3 × 3

Area = 9

The area of the parallelogram is 9 units².

Here, we have,

We know that,

Parallelogram area = base × height

here, from the given figure we get,

Base = 3 units

Height = 3 units

so, we get,

Parallelogram area = base × height

Area = 3 × 3

Area = 9

Hence, The area of the parallelogram is 9 units².

To learn more on area of parallelogram click:

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#SPJ6

Answer of what is QS

Answers

Check the picture below.

and let's not forget that the midsegment of a triangle is always half its parallel base.

[tex]\stackrel{midsegment}{AB}=\cfrac{\stackrel{base}{QS}}{2}\implies 16=\cfrac{QS}{2}\implies 32=QS[/tex]

Calculate SP (the sum of products of deviations) for the following scores. Note: Both means are whole numbers, so the definitional formula works well: X Y 4 5 0 2 1 1 3 4

Answers

Applying the formula, it is found that the SP for both numbers is of 7.

The first step is finding the mean for both sets, hence:

[tex]M_x = \frac{4 + 0 + 1 + 3}{4} = 2[/tex]

[tex]M_y = \frac{5 + 2 + 1 + 4}{4} = 3[/tex]

Then, the SP(sum of products of deviations) is the sum of the multiplications between each value x and the mean, with each respective value of y(same index) and the mean, hence:

[tex]SP = (4 - 2)(5 - 3) + (0 - 2)(2 - 3) + (1 - 2)(1 - 3) + (3 - 2)(3 - 4) = 7[/tex]

The SP for both numbers is of 7.

A similar problem is given at https://brainly.com/question/20640860

4)
4826 Fans attended the
Bears vs. Wildcats footbal game.
The number of Wildcat fans was
250 less than three times the
number of Bear fans in attendance
How many Wildcat fans were at
the game? How many
Bear Fans were there?

Answers

The number of Wildcat fans were at  the game is 3557.

The number of  bears fans at the game is 1269.

Let:

W = number of wildcats fans at the game

B = number of bears fans at the game.

The total number of fans at the game: W + B = 4826

This equation can be used to represent the number of wildcats fans at the game: W = 3b - 250

Replace for w in the above equation:

3b - 250 + b = 4826

To determine the value of b, take the following steps

Combine and add similar terms

4b = 5076

Divide both sides by 4

b = 1269

To determine the value of w, substitute for b in the first given equation.

W + 1269 = 4826

w = 4826 - 1269

w = 3557

To learn more, please check: brainly.com/question/23589883?referrer=searchResults

A man flies a kite 354 feet in the air when he runs out of string, what is the angle of elevation if he had 200 yards of string to begin with

Answers

Answer:

Step-by-step explanation:

Assuming the string is straight (it will not be so due to gravity and wind load)

θ arcsin(354 / (200(3)) = 36°

A dog slept from 10:51 p.m. to 1:22 a.m. how long does a dog sleep

Answers

Answer:

2 hours and 31 minutes

Step-by-step explanation:

10:51 +9 =11:00

+ 2 hours = 1:00 +22 = end time

so added together 22+9= 31 + the 2 hours = 2 hours and 31 minutes

Plot the point (6, 0) on the coordinate plane.

Answers

Answer:

Just go to the 6 on the bottom line, and add a point

Answer:

see below

Step-by-step explanation:

(6,0)

 The first coordinate is the x coordinate.  Since it is positive we go to the right 6 units.  The second coordinate is the y coordinate.  We go up zero units

What is the better buy?
16 oz of goldfish for $4.75
9 oz of goldfish for $2.50

Answers

Answer:

Maybe 9 oz, if I’m wrong sorry! D:

How much did i paint if i painted 3/4 of 3/4 of a wall

Answers

Answer:

(4) 1/4x = 3/4 (4)

1x=3

Step-by-step explanation:

3/4 x

÷ = ÷

1/4 1

(4) 1/4x = 3/4 (4)

1x=3

f(x) = 2/3x + 3 what is the value of f(12)? ​

Answers

Answer:

11

Step-by-step explanation:

    f(12) means that we plug 12 into our x value since the function is f(x) which will be solved as the following:

2/3x + 3

2/3(12) + 3

8 + 3

11

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

The number 40.8 is what percent of 68?​

Answers

Step 1: We make the assumption that 68 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$x​.

Step 3: From step 1, it follows that $100\%=68$100%=68​.

Step 4: In the same vein, $x\%=40.8$x%=40.8​.

Step 5: This gives us a pair of simple equations:

$100\%=68(1)$100%=68(1)​.

$x\%=40.8(2)$x%=40.8(2)​.

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

$\frac{100\%}{x\%}=\frac{68}{40.8}$
100%
x%​=
68
40.8​​

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{40.8}{68}$
x%
100%​=
40.8
68​​

$\Rightarrow x=60\%$⇒x=60%​

Therefore, $40.8$40.8​ is $60\%$60%​ of $68$68​.

Can someone help me please

Answers

Answer:

answer for question 7. 0.17×70 = $11.9

Answer:

Question 1:

bill = $70

tip percentage = 17%

so tip = 70x(17/100)

= 11.9$

Question 2:

total voters = 20500

supported voters percentage = 49%

so supported voters = 20500x(49/100)

= 10045

Question 3:

price = 154$

vat percentage =5%

so vat = 154x(5/100)

= 7.7$

Solve for x: -2x - 4> 8
X<-6
X> -6
0x<-2
X>-2

Answers

Answer:

x < -6

Step-by-step explanation:

-2x - 4 > 8

the first step is to add 4 to both sides since we need to get x alone on one side

-2x - 4 > 8

      +4  +4

so we are left with -2x > 12

we still need to get x alone so we have to divide -2 from both sides

always remember that if you divide by a negative number the inequality flips!! so instead of > it will be <.

-2x/-2 = x

12/-2 = -6

so the answer is x < -6

What’s 28.50 simplified

Answers

Answer:

28.5

Step-by-step explanation:

hope this helps

Answer:

57/2

Step-by-step explanation:

I don't understand the context of this.

4(x-3) < x+3, Where x ∈ W
Please help me​

Answers

[tex]\large\underline{\sf{Solution-}}[/tex]

Given:

[tex]\rm\longmapsto 4(x-3)<x+3, x\in \mathbb{W}[/tex]

[tex]\rm\longmapsto 4x-12<x+3[/tex]

[tex]\rm\longmapsto 4x-12-x<x+3-x[/tex]

[tex]\rm\longmapsto 3x-12<3[/tex]

[tex]\rm\longmapsto 3x-12+12<3+12[/tex]

[tex]\rm\longmapsto 3x<15[/tex]

[tex]\rm\longmapsto \dfrac{3x}{3}<\dfrac{15}{3}[/tex]

[tex]\rm\longmapsto x<5, x\in\mathbb{W}[/tex]

[tex]\large\underline{\sf{Answer-}}[/tex]

Therefore:

[tex]\rm\longmapsto x=\{0,1,2,3,4\}\ \ \ [/tex]

Ln(x)+ln(x+7)=1
solve this log equation

Answers

7n-1/1+n this should be it
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