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A population has a mean of 300 and a standard deviation of 70. Suppose a sample of size 100 is selected and is used to estimate H. Use z-table.
a. What is the probability that the sample mean will be within +/- 6 of the population mean (to 4 decimals)? (Round z value in intermediate calculations to 2 decimal
places.)

Answer:

1:12

Step-by-step explanation:

I hope this helps!

Answer:

[tex]x^{2} -11x-28[/tex]

Step-by-step explanation:

We start of with this.

[tex]x(x-3)-4(2x+7)[/tex]

First, use the distributive property, and distribute the x to the (x-3) to get: [tex]x^{2} -3x-4(2x+7)[/tex]

Next, distribute the -4 to the (2x+7) to then get:

[tex]x^{2} -3x-8x-28[/tex]

Then, combine like terms. In this case, combine -3x and -8x since they are alike and get:

[tex]x^{2} -11x-28[/tex]

The answer is already in standard form, so we're done. To write a polynomial in standard form, write the monomial with the variable, with the largest exponent first. In this case, [tex]x^{2}[/tex] goes before [tex]-11x[/tex] because of the exponent of 2. Monomials without a variable go last, so that's why -28 is last.

Answer:

Augusto was biased and only asked his friends

Step-by-step explanation:

Augusto should've asked 20 random people, since the people he hangs around the most probably have the same habits

This was not a fair collection of data

He did not use a random sample, and he tried to show cause and effect with an observational study

well i think the answer is 4

i think the expression is supposed to be 4(3x+10)

Answer:

x = 6

Step-by-step explanation:

Each side of the triangle = x cm

Each side of the square = (x - 1.5) cm

Given that the perimeter of both shapes are equal, thus, set the perimeter of the triangle equal to the perimeter of the square to solve for x.

Perimeter of triangle = 3(x) = 3x cm

Perimeter of square = 4(x - 1.5) = 4x - 6

Therefore:

Perimeter of triangle = perimeter of square

Substitute

3x = 4x - 6

Subtract 4x from each side

3x - 4x = -6

-x = -6

Divide both sides by -1

x = -6/-1

x = 6

Answer:

B: T = ½R

Step-by-step explanation:

From the given graph, we see the following;

When T = 2, R = 4

When T = 3, R = 6

When T = 4, R = 8

When T = 5, R = 10

Looking at those values, we can see a pattern where R is always equal to 2T.

Or T = ½R

Thus, option B is the answer.

Answer: 4) 49 1/2  

5) 15

Step-by-step explanation:

To find volume you must use L x W x H.

4) 3 x 3 x 5.5= V

3 x 3 = 9

9 x 5. 5=  49.5

5) 2 x 2 x 3.75= V

2 x 2= 4

4 x 3. 75 = 15

Answer:

11

Step-by-step explanation:

cross multiply - 2(2x-4) = 3(x=1)

4x - 8 = 3x + 3

4x - 3x = 3 + 8

x = 11

Answer:

x = 11

Step-by-step explanation:

2(2x-4) = 3(x+1)

4x-8=3x+3

4x-3x=3+8

x=11

Answer:

b

Step-by-step explanation:

Answer:

$ 180

Step-by-step explanation:

Simple Interest= P×R×T/100 ( Principal,rate,time)

So,

3000×2×3/100 (cancelling 3000 by 30)

30×2×3=30×6=180 Answer

Answer:

[tex]x = \frac{1}{2} [/tex]

[tex]y = 3[/tex]

Step-by-step explanation:

Multiply the bottom equation by -2.

[tex] - 2( - 2x - y = - 2) = - 4x + 2y = 4[/tex]

Add the new equation to top equation.

[tex]5y = 15[/tex]

[tex]y = 3[/tex]

Know plug 3 in one of the equations to find x.

[tex]4x + 3(3) = 11[/tex]

[tex]4x = 2[/tex]

[tex]x = \frac{1}{2} [/tex]

Answer:

( [tex]\frac{1}{2}[/tex], 3 )

Step-by-step explanation:

Given the 2 equations

4x + 3y = 11 → (1)

2x - y = - 2 → (2)

Multiplying (2) by 3 and adding to (1) will eliminate the y- term

6x - 3y = - 6 → (3)

Add (1) and (3) term by term to eliminate y

10x + 0 = 5

10x = 5 ( divide both sides by 10 )

x = [tex]\frac{1}{2}[/tex]

Substitute x = [tex]\frac{1}{2}[/tex] into either of the 2 equations and solve for y

Substituting into (1)

4 ([tex]\frac{1}{2}[/tex] ) + 3y = 11

2 + 3y = 11 ( subtract 2 from both sides )

3y = 9 ( divide both sides by 3 )

y = 3

solution is ( [tex]\frac{1}{2}[/tex], 3 )

Answer:

30 hot dogs fewer.

Answer:

657.025 is the correct answer.

Answer:

657.025

Step-by-step explanation:

I did the math.

Answer:

1e+12

Step-by-step explanation:

because 8 exponents of 10 would be    i cannot count and 4 exponents of 10 is 10,000.

Any Questions?

Answer:

The cube contains 1,092,727 cubic meters of oil, which could fill almost all the world's oceans, since they have approximately 1.3 million cubic meters of water.

Step-by-step explanation:

Since if you took the amount of oil consumed in 2 months in 2013 worldwide, you could make a cube of oil that measures 103 meters on each side, to determine how many cubic meters of oil is this and to determine if this would be enough to fill a pond, a lake, or an ocean, the following calculations must be performed, knowing that the volume of a cube is equal to the length of one of its sides cubed:

103 ^ 3 = X

103 x 103 x 103 = X

10,609 x 103 = X

1,092,727 = X

Therefore, the cube contains 1,092,727 cubic meters of oil, which could fill almost all the world's oceans, since they have approximately 1.3 million cubic meters of water.

Answer:

brooklyn

Step-by-step explanation:if ur brooklyn do it ur self plese and ty -niki minaj

Answer:

the answer is 50!!! it sure is

Answer:

Sampling variation

Step-by-step explanation: took the quiz

The option that the margin of error accounts for in the given interval is sampling variation.

This refers to the fact that in a sample, there will be a difference between the variables seen.

This variation is the reason why there is a margin of error in intervals because we need to introduce a range that the relevant variable will fall into.

Find out more sampling variation at https://brainly.com/question/14514626.

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Answer: A. H0: Mean= 5 and Ha: Mean is not equal to 5.

Step-by-step explanation:

Definitions:

Given: The diameter of a spindle in a small motor is supposed to be 5.8 millimeters.

If the spindle is either too small or too large, the motor will not work properly. so, Mean diameter ≠ 5.8 to work correctly.

i.e. [tex]H_a: \text{Mean}\neq 5.8[/tex]

So, [tex]H_a: \text{Mean =5.8}[/tex]

The required null and alternative hypotheses:

H0: Mean= 5 and Ha: Mean is not equal to 5.

Step-by-step explanation:

So he sold 33.

29 had pepperoni and of these 29, 15 had also sausage. SO first, to find out how many pepperoni pizzas only he sold you have to substract.

29-15= 14

14pepperoni pizzas

15 pepperoni and sausage pizzas.

Now we add 14 + 15 = 29

Now we do 33-29= 4

So the final answer to the question is:

10 pizzas more

Answer:

a_n = 50 - 5n, for n = 1,2, 3, ...

Step-by-step explanation:

a_1 = 50

a_2 = 50 - 5 = 45

a_3 = 50 - 2 * 5 = 40

a_n = 50 - (n - 1) * 5

a_n = 50 - 5n + 5

a_n = 50 - 5n

Answer:

an = -5n + 55.

Step-by-step explanation:

This is arithmetic with common difference -5.

an = a1 + d(n-1)

an = 50  - 5(n - 1)

an = 50 - 5n + 5

an = -5n + 55.

Answer:

$3717.12

Step-by-step explanation:

The depreciation per year is 100% - 12% = 88% = 0.88

value after 2 years = $4800 ( 0.88)² = $3717.12

Step-by-step explanation:

3717.21$ is the system worth after 2 years

Answer:

its ten i think it depends on my work

[tex]\\ \qquad\quad\sf\longmapsto 48^2=64\times x[/tex]

[tex]\\ \qquad\quad\sf\longmapsto 48^2=64x[/tex]

[tex]\\ \qquad\quad\sf\longmapsto x=\dfrac{48^2}{64}[/tex]

[tex]\\ \qquad\quad\sf\longmapsto x=\dfrac{2304}{64}[/tex]

[tex]\\ \qquad\quad\sf\longmapsto x=36[/tex]

Answer:

48

Step-by-step explanation:

One nice, reliable thing about triangles is that their interior angles will ALWAYS add up to 180 degrees.  So, if one angle is 43 degrees and the other angle is 48 degrees, we can see that

180 - 43 - 48 = 89

Now, the tricky part: how to determine which type of triangle this is.

An acute triangle is one in which all interior angles are less than 90 degrees.  An isoceles triangle is one in which two of the interior angles are the same, while the third is different.  An obtuse triangle is one in which one of the interior angles is greater than 90 degrees.  A right triangle is one in which one of the interior angles is equal to 90 degrees.

We distinguish between these different types because they each have useful, but different, properties.

By these definitions, it is clear that the triangle in question is acute.

Answer:

100.48

Step-by-step explanation:

Step 1: Find the diameter

16 × 2 = 32

Step 2: Multiply by pie (Usually just 3.14)

32 × 3.14 = 100.48

Answer:

Data

Explanation:

Like all graphs, a bar graph is a visual display of data and displays categorical data.

Like frequency tables, bar graphs provide a visual display of data.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Categorical data, showing the distribution of the data across different categories or groups.

Bar graphs are particularly useful for comparing the sizes or frequencies of different categories, and they can make it easier to spot patterns, trends, or outliers in the data.

By representing the data visually, bar graphs can also help to communicate the information more effectively to others, allowing people to quickly understand and interpret the key features of the data.

Hence, Like frequency tables, bar graphs provide a visual display of data.

To learn more on Statistics click:

https://brainly.com/question/30218856

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Answer:

c

Step-by-step explanation:

Answer:

The equation is P - 42 = 12

P = 54

Step-by-step explanation: