Due at 12 pls help



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Answer:

The 99.9% confidence interval for the difference between these results is between 12.09 and 25.91 hours per week.

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction between normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction of normal variables:

When two normal variables are subtracted, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of variances.

Ohio had an average of 52, standard deviation of 7.22, sample of 40.

This means that [tex]\mu_O = 52, s_O = \frac{7.22}{\sqrt{40}} = 1.1416[/tex]

Pennsylvania had an average of 33, standard deviation of 10.11, sample of 33.

This means that [tex]\mu_P = 33, s_P = \frac{10.11}{\sqrt{33}} = 1.76[/tex]

Distribution of the difference:

[tex]\mu = \mu_O - \mu_P = 52 - 33 = 19[/tex]

[tex]s = \sqrt{s_O^2 + s_P^2} = \sqrt{1.1416^2 + 1.76^2} = 2.1[/tex]

Confidence interval:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.999}{2} = 0.0005[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.0005 = 0.9995[/tex], so Z = 3.29.

Now, find the margin of error M as such

[tex]M = zs[/tex]

[tex]M = 3.29*2.1 = 6.91[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 19 - 6.91 = 12.09 hours per week

The upper end of the interval is the sample mean added to M. So it is 19 + 6.91 = 25.91 hours per week.

The 99.9% confidence interval for the difference between these results is between 12.09 and 25.91 hours per week.

Answer:

it will take 4 workers 27 hours to build 3 playsets.

Step-by-step explanation:

Given;

two works to build 1 play set in 18 hours

If a worker works at the same rate, he will finish a playset as follows;

2 worker ---------> 18 hours

1 worker -----------> ?

1 worker = 2  x 18 hours = 36 hours for 1 playset

4 workers  will take  ³⁶/₄ hours for 1 playset

4 workers --------------> 9 hours for 1 playset

For 3 playsets, 4 workers will take 3 x 9 hours = 27 hours.

Therefore, it will take 4 workers 27 hours to build 3 playsets.

Answer:

∠A = 30°

∠B = 60°

∠C= 90°

Step-by-step explanation:

This is a right triangle, you can see it mainly by the red square in C, and it is always used to mark 90 degrees.

Knowing that, you now know ∠C is 90°

Now, to find ∠B, you should use the following equation:

This means that the sum of the three angles of a triangle gives 180. ALWAYS. So to find the missing angle, ∠B, do the following:

Fill the values of the equation with the angles you now know:

Solve the equation, passing the 30° and 90° to the other side of the equal sing with Inverse Operation:

B = 60

Hope it helps!!

Answer:

74,611,399

Step-by-step explanation:

Percentage of obese children and adolescent = 19.3%

19.3% = 14.4 million

The overall number of children and adolescent equals a total percentage of 100%

Hence,

If 19.3 % = 14.4 million

100% = x

Cross multiply :

19.3% x = 100% * 14.4 million

0.193x = 14400000

x = 14400000 / 0.193

x = 74611398.964

Total number of children and adolescent = 74,611,399

Answer:

Mean: 89

Median: 89

Mode: 89

Range: 22

Step-by-step explanation:

Answer:

89

Step-by-step explanation:

Mean-89

Median-89

Mode-89

Answer:

FG

Step-by-step explanation:

COOL AIDS BRO FAX AND MORE STUFF

The function f(x) = x - 4 and g(x) = x + 4 and the function f(x) = -3/x and g(x) = 3/x are not inverse of each other.

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

For each pair of functions F and G below, find f(g(x)) and g(f(x)).

a)  f(x) = x - 4 and g(x) = x + 4

Then f(g(x)) will be

[tex]\rm f(g(x)) = x[/tex]

Then g(f(x)) will be

[tex]\rm g(f(x)) = x[/tex]

The functions f and g  are not inverse of each other.

b) f(x) = -3/x and g(x) = 3/x

Then f(g(x)) will be

[tex]\rm f(g(x)) =- x[/tex]

Then g(f(x)) will be

[tex]\rm g(f(x)) = -x[/tex]

The functions f and g  are not inverse of each other.

More about the function link is given below.

https://brainly.com/question/5245372

Answer:

2v+2

Step-by-step explanation:

Answer:

The Black Stallion, known as the Black or Shêtân, is the title character from author Walter Farley's bestselling series about the Arab stallion and his young owner, Alec Ramsay. The series chronicles the story of a sheikh's prized stallion after he comes into Alec's possession, although later books furnish the Black's backstory. Shaytan (under various transliterations) is the Arabic word for "devil".

Answer:

19.4339908408

Answer:

t=7seconds or 5seconds

Step-by-step explanation:

s=-16t^2 +192t

let s=560ft

560=-16t^2 +192t

16t^2 -192t+560=0

16(t^2-12t+35)=0

(t^2 -12t +35)=0

factoring it ,it will give

(t-7)(t-5)=0

solving for t

t-7=0 or t-5=0

t=7s or t=5s

Answer:

-x^2+3x+3

Step-by-step explanation:

if the evaluated answer is correct (but my answer above is correct)  it would be -4+6+3 then the answer would be 5 but I am not sure

Answer:

enlarged

Step-by-step explanation:

imagine there are two figures, figure A and B.  figure A has a length of 10cm and the scale factor is 1.2

the length of figure B = 10 X 1.2 = 12

Figure B has a longer length than figure A. thus figure B is an enlarged version of figure A.

Conversely, if the factor is 0.2

the length of figure B = 10 X 0.2 = 2cm

the length of figure B is less than that of figure A. Thus, figure B is a scaled image of A

Answer:

MAD would be more similar than mean

Step-by-step explanation:

Without doing any calculations, I assumed that the average value for each neighbor is different since their dot plots surround different areas. The MAD is the mean absolute deviation where it shows how distributed are the dot plots compared to the average value. In this case, I can tell that both neighborhoods having a very similar distribution of dot plots relative to their average/mean. Hope this helps!

Answer:

...... ....... ........

Answer:

[tex]x + 3y > 9 \\ 3y > - x + 9 \\ y > - \frac{1}{3} x + 3 \\ y - intercept \: is \: 3 \\ first \: point = 3 \\ second \: point \: = 9[/tex]

Answer:

13.5

Step-by-step explanation:

Mark me brainliest!

Or 13 with a remainder of 5

13R5

or

13 5/8

The quotient is 13 and the remainder is 4 for the given statement.

When we divide 108 by 8, we find:

108 ÷ 8 = 13 remainder 4

The quotient is 13 and the remainder is 4.

Therefore, 108 divided by 8 is equal to 13 with a remainder of 4.

Learn more about Mathematical operations here:

https://brainly.com/question/20628271

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Answer:

You would put an open dot on both ends from -8 to 4 or just a distance of 12

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

just did on edg

Answer:

40x^20

Step-by-step explanation:

Each sequence the x value doubles.

Each sequence the x exponent goes up by 5

Answer:

i got B for my answer

Answer:

288.62

Step-by-step explanation:

Answer:

[tex] {4x}^{2} - 12x[/tex]

Answer:

4x² - 12x

Step-by-step explanation:

Multiply 4x by each term inside the parentheses

4x(x) = 4x²

4x(-3) = -12x

Put the terms back into order

4x² - 12x

Answer:

8730

Step-by-step explanation:

Answer:

Step-by-step explanation:

The steps in the photo above

I hope that is useful for you :)

Answer:

Th final equation is [tex]Y = 2X^2 -3[/tex]

The graph is attached

Step-by-step explanation:

Given

[tex]X = \sqrt{t} \\t = X^2[/tex] --- Eq (1)

and [tex]Y = 2t -3[/tex] --- Eq (2)

Substituting the value of "t" from Eq (1) into Eq (2), we get -

[tex]Y = 2X^2 -3[/tex]

The graph for the equation is attached here with

The Cartesian form of the parametric equation is y = 2x² – 3 and the graph will be a parabola.

A parametric equation in mathematics specifies a set of numbers as functions of one or more independent variables known as parameters.

We have parametric functions:

x = √t ⇒ x² = t

y = 2t—3

Plug t = x² in the other equation, we get:

y = 2x² - 3

The graph will be a parabola.

Thus, the Cartesian form of the parametric equation is y = 2x² – 3 and the graph will be a parabola.

Learn more about the parametric function here:

brainly.com/question/10271163

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