Suppose that 84% of the cases of car burglar alarms that go off are false. Let p be the proportion of false alarms in a random sample of 110 cases of car burglar alarms that go off. Calculate the mean and standard deviation of p and describe the shape of its sampling distribution.

Round your answer to four decimals places if necessary

up= ______
op= ______

The sampling distribution of p is normal or skewed to the right?

Answers

Answer 1

Answer:

0.84 ; 0.0349545 ; symmetric

Step-by-step explanation:

Given that:

p = proportion of false alarm

Sample size (n) = 110

The mean of p

Since 84% of car buglar alarms turns out as false, then, the mean value of p = 0.84

To obtain the standard deviation ; we use the relation ;

√(p(1 - p) / n)

Standard deviation :

√0.84(1 - 0.84) / 110

√0.84(0.16) / 110

√0.1344 / 110

√0.0012218

= 0.0349545

np = 110 * 0.84 = 92.4 (distribution is symmetric or normal)


Related Questions

Can U help me please

Answers

Answer:

The equation that represents the relation between the figure number, x, and the number of the tiles, y is y = 2x + 1

Step-by-step explanation:

The slope-intercept form of the equation is y = m x + b, where

m is the slope ⇒ constant rate of changeb is the y-intercept

In the given pattern

x represents the figure number

y represents the number of tiles

∵ At x = 1, y = 3

∵ At x = 2, y = 5

∵ At x = 3, y = 7

∵ 5 - 3 = 2 and 7 - 5 = 2

→ That means the constant rate of change is 2

m = 2

→ Substitute it in the form of the equation above

∴ y = 2x + b

→ To find b substitute x and y by the first figure

∵ x = 1 and y = 3

∴ 3 = 2(1) + b

∴ 3 = 2 + b

→ Subtract 2 from both sides to find b

∴ 3 - 2 = 2 - 2 + b

1 = b

→ Substitute it in the equation

∴ y = 2x + 1

The equation that represents the relation between the figure number, x, and the number of the tiles, y is y = 2x + 1

Bella had already read 20% of the book before her teacher assigned it to the class. She is choosing between two options to finish reading the book
. option 1: read 25% of the reminding pages each night
. option 2: read 24 pages each night
which option should bella use to finish the book in the least amount of time ?​

Answers

Answer:

How big is the book?

If it has more than 96 pages remaining 25% each night is quicker if it has less that 96 or less remaining 24 pages a night is faster

Step-by-step explanation:

So let's say that there are 100 pages of the book Bella is reading. With this information, because she read 20% of the book, there is still 80% left.

Let's look at option 1: read 25% each night. Because 25% of 80 is 20, this would mean Bella would have to read 20 pages each night.

Let's look at option 2: read 24 pages each night.

With this information, we can already tell which option is going to get Bella to read the book faster.

Answer: Option 2.

Hope this helped you! Apologies if there are any mistakes! xoxo

-Sav

Which of these ratios is equivalent to 24 scarves to 8 hats?
3 to 1
O 2 to 3
03 to 2
0 1 to 3

Answers

Answer:

Equivalence= 3/1= 3

3 to 1

Step-by-step explanation:

Giving the following information:

Number of scarves= 24

Number of hats= 8

First, we need to divide the number of times that 8 hats enter in 24 scarves:

Number of times= 24/8= 3

Now, we know that 8 hats enter 3 times in 24 scarves. Therefore, the equivalence is:

Equivalence= 3/1= 3

3 to 1

PLS HELP THIS IS DUE IN 10 MINUTES!!!

Answers

Answer:

yes

Step-by-step explanation:

All linear functions crossing the origin are proportional.

HTH :)

Item 4
Amy raises $58.75 to participate in a walk-a-thon. Jeremy raises $23.25 more than Amy. Oscar raises 3 times as much as Jeremy. How much money does Oscar raise

Answers

Answer:

oscar raises 246 dollars.

Step-by-step explanation:

you add 23.25 to amys amount and then times that by 3 to find the answer.

Answer:

I think its 246

Step-by-step explanation:

if you add 58.75 to 23.25 you get you get 82 and when you multiply by 3 you get 246

Johannes needs to buy replacement team uniform

Answers

Answer:

D.

Step-by-step explanation:

(25 POINTS) Terry realized that 25% of his money was $12.50. He made a double number line to represent this. What number would go in the first missing box?

Answers

Answer:

you would double it A 0 12.50 25.00

B 0 25 50

Step-by-step explanation:

not 100% hope > helped

in how many ways can two coins fall?​

Answers

6 one coin can fall on heads and tails and also stand straight up that’s 3 ways one coin can fall since you said 2 coins it’s 6 ways

3. Last month, Luiza's bank statement said that she had money in her account. Her bank balance was 109.32 rubles. This month, Luiza's bank balance is -87.12 rubles. What does this mean? *

Answers

Answer:

this means that she had spent 196.44 dollars

Step-by-step explanation:

109.32 (started off with)

-87.12(how much she ended up with)

we know that she went over cause she ended up with a negative  so you just add how much she went over and how much she had orgiginally had

Which statements are true? Check all that apply

Answers

Answer:

1 1/2 >15

Step-by-step explanation:

HELP
Lin ran 2 ¾ miles in ⅖ of an hour. Noah ran 8 ⅔ miles in 4/3 of an hour.
Who ran faster, Noah or Lin?




How far would Lin run in 1 hour?




How far did Noah run in 1 hour?




How long would it take Lin to run 1 mile at that rate?




How long would it take Noah to run 1 mile at that rate?

Answers

Lin ran faster because if you convert 2/5=24mins 4/3=80mins and lin would run 2.5 miles in an hour and Noah would run 0.75 miles

Solve for X. - 7X - 50 less than or equal to -1 and -6X +70 greater than -2

Answers

Answer: x ≤ 7

Step-by-step explanastion: 7x-50≤ -1 and -6x +70> -2

Solve separately and then put back together

7x-50≤ -1

Add 50 to each side

7x-50+50≤ -1+50

7x ≤ 49

Divide each side by 7

7x/7 ≤ 49/7

x ≤ 7

-6x +70> -2

Subtract 70 from each side

-6x +70-70> -2-70

-6x> -72

Divide by -6, remembering to flip the inequality

-6x/-6 < -72/-6

x < 12

The first is more restrictive, and since it is an and, we use the more restrictive answer

what is 4^2 - (3.1 + 6.4) + 4.5

Answers

Answer:

11

Step-by-step explanation:

Answer

11

Step-by-step explanation:

(−5)(−0.4)(1.8)(−3.25)

Answers

Answer:

-11.7 is the correct answer. Hope this helps

Answer:

The answer is -11.7

Step-by-step explanation:

A circular pond has a radius of 35 feet. What is the diameter of the pond?

Answers

Answer:

I believe the radius is half the circle which makes the diameter 2x the radius which is 35+35= 70

Median for 5,8,10,1,7,6,15,8,6

Answers

Answer: 7

Step-by-step explanation: How I Got 7 is the median is the middle number of the data table so the median is always the middle number of the equation Hope This Helps ;)

The median is the middle number in a set of ordered numbers.

So let's first write our data set from least to greatest.

1, 5, 6, 6, 7, 8, 8, 10, 15

Since the 7 appears in the middle, it's our median.

someone pls help me asap!! :((

Answers

Step-by-step explanation:

To graph them, sub 2 random x/y numbers and find the corresponding coordinates then plot these 2 points on the axes then connect to form a straight line :)

Topic: coordinate geometry

If you like to venture further, feel free to check out my insta (learntionary). It would be best if you could give it a follow. I'll be constantly posting math tips and notes! Thanks!

Two elves can make 5 toys in 10 minutes
How many toys can four elves make in 30 minutes?

Answers

Answer:

Step-by-step explanation:

two elves 5 toys 10 minutes

four elves 10 toys 10 minutes

four elves 30 toys 30 minutes

what is the domain and range of the graph?​

Answers

Answer:

Domain- {-2,0,2}

Range- {0,6,12}

Step-by-step explanation:

Answer:

Domain- {-2,0,2}

Range- {0,6,12}

Step-by-step explanation:

domain is x and range is y

Find the sum: 3 4/5+2 1/4 i need helpnplzzz ​

Answers

Answer:

6 1/20 or as a decimal 6.05

What is the factored form of 36x4 – 25?

(6x2 – 5)(6x2 + 5)
(6x2 – 5)(6x2 – 5)
(6x2 – 25)(6x2 + 25)
(6x2 – 25)(6x2 – 25)

Answers

First one (difference of squares)

Answer:

A.)     (6x2 – 5)(6x2 + 5)

Step-by-step explanation:

y=-3/4x-2 convert into standard form (clear fraction)

Answers

Answer:

3x+4y=-8

Step-by-step explanation:

Clear the fraction, so multiply by 4, so, 4y=-3x-8

Then move x to the other side by adding 3x to both sides.  3x+4y=-8

A restaurant gets 593.31 every week. How much will they make in a year? Round your answer to the nearest cent

Answers

Answer:

30936.903999

Step-by-step explanation:

Answer:

They will make 28478.88

Step-by-step explanation:

First you multiply 12 by 4 because there is 12 months in a year and there is 4 weeks in one month. So next you will multiply 48 (that’s what 14 by 4 is), by 593.31. And you get 28478.88

PLEASE ANSWER THIS J WILL GIVE 10 POINTS AND BRAINLIEST PLEASE!!!!!

Answers

Answer:

The answer is D. I think that is righ.

Step-by-step explanation:

Solve. (x + 5)/3 = 4 for x.

Answers

Answer:

X = 7

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

Multiply each side by 3 to cancel out the 3 under x + 5. It should now look like this: x + 5 = 12Subtract 5 from each side, so it now looks like this: x = 7

I hope this helps!

In AABC, a = 8, b = 5, and c = 9. What is the value of
angle B.

Answers

Can you show the problem ?

Which graph represents a function, f(x), that has a slope of 3 units and f(0) = 14?
Please help me

Answers

Answer:

A

Step-by-step explanation:

A number, n, is multiplied by -711. The product is -2155. What is the value of n?

Answers

Answer:

N equals 3.03 I rounded the answer

Step-by-step explanation:

hope that helps and please give me brianliest

Mathematics:If she uses 486.7 cm of paper to cover the lateral surface area of the cylinder,what is the diameter of the cynlinder?

Answers

Answer:

iiamdsjefej 444 i like milk

Step-by-step explanation:

wffdfe

Please help. You bought 4 notebooks for $0.89 each and some reams of paper at a cost of $1.69
each. If you spent a total of $13.70. how many reams of paper did you purchase?

Answers

Answer:

6 reams

4 x .89= $3.56

$13.70 - $3.56 = $10.14

$10.14 / $1.69 = 6

Step-by-step explanation:

Answer: 6

Step-by-step explanation

So you have bought 4 note books each for $0.89 each. Right off the bat we  have to multiply the 0.89c by the number of books we bought which is 4.

$0.89 x 4 = $3.56

And contuniung in it says that you bought some reams of paper and a ream of paper costs $1.69. And they want to know how much you bought if you spent $13.70 in totall. So all we have to do now is sumbtract the amount of money spent on the 4 notebooks to see how much money is left.

$13.56 -$3.56 = $10.14

Now to find the final answer we have to divide the $10.14 by $1.69 no find out how much reams of paper we bough.

$10.14 ÷ $1.69 = 6

There for the total amount of reams of papar we bought is 6.

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