A 90% confidence interval is found to be (120,140). What is the margin of error?

Answer:

There isn't enough evidence to indicate that the mean number of TVs in Rocklin households is higher than the reported national average .

Step-by-step explanation:

This is a one sample mean test ;

H0 : μ = 2.7

H1 : μ > 2.7

Given the data :

2, 3, 3, 1, 2, 5, 3, 4, 1, 2, 4, 3

Sample size, n = 12

The sample mean, xbar = ΣX / n = 33/12 = 2.75

The sample standard deviation, s = 1.215 ( from calculator)

The test statistic :

(xbar - μ) ÷ (s/√(n))

T = (2.75 - 2.7) ÷ (1.215/√(12))

T = 0.05 / 0.3507402

T = 0.1426

The critical value from Tscore ;

df = 12 - 1 = 11

Critical value = 1.796

Since ; Test statistic < Critical value ;WE fail to reject the Null and conclude that there isn't enough evidence to indicate that the mean number of TVs in Rocklin households is higher than the reported national average

Answer:

Step-by-step explanation:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Answer:

[tex]88 \frac{19}{32} [/tex]

Answer:

x²+12x+35

Step-by-step explanation:

in factored form it would just be

(x+7)(x+5)=0

expand this

x²+12x+35=0

Answer:

y=5x-1 I think because the snd option doesn't make sense but you should try y =5x-1

There are 365 ways of forming an executive Committee of four in a social club consisting of 15 members

If a particular man must be in the committee, we can choose the remaining 3 members from the remaining 14 members. The number of ways to choose 3 members from 14 is given by the combination:

14Cr3 = [tex]\frac{14!}{3! 11!}[/tex] = [tex]\frac{14x13x12}{3x2x1}[/tex] = 364

Therefore, there are 364 ways of forming an executive committee of four in a social club consisting of 15 members, if a particular man must be in the committee.

Learn more about combination here:

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Answer:

The first droplet will hit the ground after about 1.54 seconds.

The second droplet will hit the ground after about 1.6 seconds.

Thus, the first hits the ground first.

Step-by-step explanation:

We are given the function:

[tex]y=-16r^2 + 38[/tex]

Which represents the height y in feet of a water droplet t seconds after falling from an icicle.

Part A)

We want to find the time it took for the water droplet to hit the ground.

When it hit the ground, its height y above ground will be zero. Therefore, we can let y = 0 and solve for r:

[tex]0=-16r^2+38[/tex]

Subtract 38 from both sides:

[tex]-38 = -16 r^2[/tex]

Divide:

[tex]\displaystyle r^2 = \frac{38}{16} = \frac{19}{8}[/tex]

And take the principal square root of both sides:

[tex]\displaystyle r= \sqrt{\frac{19}{8}} = \frac{\sqrt{38}}{4} \approx1.54\text{ seconds}[/tex]

So, the first water droplet hits the ground after about 1.54 seconds.

Part B)

We want to determine how long it will take for a water droplet to hit the ground from a height of 41 feet.

From the original equation, if r = 0, then y = 38. So, the initial height was 38 feet.

Then we can modify the function into:

[tex]y= -16r^2 + 41[/tex]

In this case, when r = 0, the starting height y is 41 feet.

Again, let y = 0 and solve for r:

[tex]0 = -16r^2 + 41[/tex]

Isolate:

[tex]\displaystyle r^2 = \frac{41}{16}[/tex]

And take the principal square root of both sides:

[tex]\displaystyle r = \sqrt{\frac{41}{16}} = \frac{\sqrt{41}}{4} \approx 1.6\text{ seconds}[/tex]

So, the second drop will hit the ground after approximately 1.6 seconds.

And in conclusion, the first drop will hit the ground sooner (as expected).

9514 1404 393

Answer:

  7.92 years

Step-by-step explanation:

We want to find t such that ...

  3 = 2^(t/5)

where 2^(t/5) is the annual multiplier when doubling time is 5 years.

Taking logs, we have ...

  log(3) = (t/5)log(2)

  t = 5·log(3)/log(2) ≈ 7.92 . . . years

It will take about 7.92 years for the population to triple.

Answer:

17

Step-by-step explanation:

h(x) = x^2 + 2x + 2​

Let x = -5

h(-5) = (-5)^2 + 2(-5) + 2​

      = 25 -10 +2

    = 17

9514 1404 393

Answer:

  7

Step-by-step explanation:

The degree of each term is the sum of the degrees of the variables in it.

Term, Degrees

-5, 0

-5x^2wy^4, x:2, w:1, y:4 -- term degree = 2+1+4 = 7

-y^4x^2, y:4, x:2 -- term degree = 4+2 = 6

-4w^3, w:3 -- term degree = 3

The highest of these is 7, so the degree of this polynomial is 7.

9514 1404 393

Answer:

  ₹1537.86

Step-by-step explanation:

With the 14% tax added, the final cost is ...

  ₹1349 × (1 +14%) = ₹1349×1.14 = ₹1537.86

Hm, interesting inequality.

If you know that it slightly simplifies to [tex]2x\gt14[/tex] then you could go about representing something in real life,

Buying shoes is always done in pairs, if u buy two pairs of shoes you bought 4 shoes. You can only ever buy an even number of shoes which is represented by [tex]2x[/tex].

So you are asking yourself how many pairs you had to buy in order to have more than 14 shoes. The answer is of course, 7 pairs means exactly 14 shoes but since you need more the answer is 8 pairs. Represented by,

[tex]x\gt7=\{8,9,10,\dots,\aleph_0\}[/tex]

assuming [tex]x\in\mathbb{N}[/tex], which is appropriate since you cannot buy negative shoe or [tex]0.43819[/tex] of a shoe pair.

However, if you cannot change the inequality at all, you can use the above paragraph but simply add, you have 3 pairs (6 shoes) of shoes that are indispensable and you want to know the minimum number of shoe pairs you need to buy so that you always have more than 20 shoes.

Notes

[tex]\aleph_0[/tex] is the number of natural numbers [tex]\mathbb{N}[/tex] there are.

[tex]\{\dots\}[/tex] is explicit set notation, ie. which values concretely satisfy the inequality.

Hope this helps :)

Answer:

= 2x > 20-6

= 2x > 14

= x > 7... then the answer includes the numbers greater than seven

Answer:

just show the questions i will help

Step-by-step explanation:

Answer:

Micheal will have 6 logs.

Step-by-step explanation:

Each log will divide into two pieces,so.

3×2= 6

Answer: Always equal to

Step-by-step explanation:

A one way analysis of variance refers to the technique that is used in knowing if there's significant difference between two samples means.

Based on the options given, it should be noted that SS (Treatment) in the one-way ANOVA model is always equal to the SS (Treatment) in the randomized block design ANOVA model.

Answer:

Your wrong, it's 65%.

Step-by-step explanation:

The reason why: You can calculate the percentage by dividing the number of accepted students by the total of business students, 65/100 which equals 65%.

yw :)

The probability that a student was accepted is 5.0% since option  b be the correct answer.

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1,

We have to find out the probability of the selection of a student applied for the business program.

We know that, Probability= Total number of events occurred÷ Total number of possible outcomes/events

So, Probability that a student applying to the business program got selected= No of accepted students for business program÷Total number of students applied for business program=65÷100=0.65For converting a number into percentage we multiply the number by 100 that is 0.65*100=65%So, probability that a student applying for business program gets selected is 65%.

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Answer:

he has 48 dollars left to spend on clothes

In this question, the Poisson distribution is used.

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

Parameter of 5.2 per square yard:

This means that [tex]\mu = 5.2r[/tex], in which r is the radius.

How large should the radius R of a circular sampling region be taken so that the probability of finding at least one in the region equals 0.99?

We want:

[tex]P(X \geq 1) = 1 - P(X = 0) = 0.99[/tex]

Thus:

[tex]P(X = 0) = 1 - 0.99 = 0.01[/tex]

We have that:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-5.2r}*(5.2r)^{0}}{(0)!} = e^{-5.2r}[/tex]

Then

[tex]e^{-5.2r} = 0.01[/tex]

[tex]\ln{e^{-5.2r}} = \ln{0.01}[/tex]

[tex]-5.2r = \ln{0.01}[/tex]

[tex]r = -\frac{\ln{0.01}}{5.2}[/tex]

[tex]r = 0.89[/tex]

Thus, the radius should be of at least 0.89.

Another example of a Poisson distribution is found at https://brainly.com/question/24098004

Answer:

The slope is -2 and a point on the line is (8,9)

Step-by-step explanation:

The equation is in point slope form

y -y1 = m(x-x1) where (x1,y1) is a point on the line and m is the slope

y-9 = -2(x-8)

The slope is -2 and a point on the line is (8,9)

Binomial probability states that the probability of x successes on n repeated trials in an experiment which has two possible outcomes can be obtained by

(nCx).(p^x)⋅((1−p)^(n−x))

Where success on an individual trial is represented by p.

In the given question, obtaining heads in a trial is the success whose probability is 1/2.

Probability of 6 heads with 6 trials = (6C6).((1/2)^6).((1/2)^(6–6))

= 1/(2^6)

= 1/64

Answer:

16.23 hours

Step-by-step explanation:

To obtain the number of hours that have passed ; we have to solve for t on the equation ;

4500 = 75,000 e^-0.1733t

Divide both sides by 75000

4500/75000 = e^-0.1733t

0.06 = e^-0.1733t

Take the In of both sides ;

In(0.06) = - 0.1733t

-2.813410 = - 0.1733t

Divide both sides by - 0.1733

t = 16.23 hours

Answer:

please ask in English

Step-by-step explanation:

then I can help

Answer:

8

Step-by-step explanation:

32 / 24 = 2x / 12

8 / 6 = x / 6

x = ( 8 x 6 ) / 6

= 8 x 1

x = 8

Answer:

A. The distribution of sample means of the differences will be approximately normal if there are at least 30 years of data in the sample​ and/or if the population of differences in winning times for all years is normal.

Step-by-step explanation:

In other to perform a valid paired test, one of the conditions required is that, data for both groups must be approximately normal. To attain normality, the population distribution for the groups must be normal or based on the central limit theorem, the sample size must be large enough, usually n > 30. Hence, once either of the two conditions are met, the paired sample will be valid.

Answer:

The first one, the second, and fourth one are correct.

Select A,B, and D.

ED2021

Answer:

A, B, and C

Step-by-step explanation:

I got it right ;)

Answer:

1/3

Step-by-step explanation:

Parallel lines have the same slope.  Thus, a line parallel to one with a slope of 1/3 is just 1/3.

Answer:

was assigned with this problem (the reference text is attached):

Which of the following, if included in a student's paper, would NOT be an example of plagiarism?

1. In the game of baseball, which is rather boring, the batter stands on home base (Hughes 1).

2. Baseball is rather surprisingly known as "America's Favorite Pastime."

3. Baseball is "a rather boring sport played between two teams of nine players" (Hughes 1).

4. All of these are plagiarism.

The answer tells that only the third choice is NOT a plagiarism. My question is, why is the first choice a plagiarismwas assigned with this problem (the reference text is attached):

Which of the following, if included in a student's paper, would NOT be an example of plagiarism?

1. In the game of baseball, which is rather boring, the batter stands on home base (Hughes 1).

2. Baseball is rather surprisingly known as "America's Favorite Pastime."

3. Baseball is "a rather boring sport played between two teams of nine players" (Hughes 1).

4. All of these are plagiarism.

The answer tells that only the third choice is NOT a plagiarism. My question is, why is the first choice a plagiarism

Hi there!  

»»————-　★　————-««

I believe your answer is:  

"Add 4 to both sides, and then divide by 2. The solution is x = 12."

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'x'...}}\\\\2x - 4 = 20\\------------\\\rightarrow 2x - 4 + 4 = 20 + 4\\\\\rightarrow 2x = 24\\\\\rightarrow \frac{2x=24}{2}\\\\\rightarrow \boxed{x = 12}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.