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 . Use z-table.

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.)

Answers

Answer 1

Step-by-step explanation:

Sol

Given that ,

mean =300

standard deviation =a =70

n=100

ux=128

a ) within 6 =300 +/-6 : 294, 306

P(294' ' 306)

: P(-0.86 : Z ' 0.86)

: P(Z ' 0.86) - P(Z ' -0.86)

Using z table,

: 0.8051-0.1949

: 0.6102

Probability : 0.6102

a ) within 18 =300 18 : 294, 318

P(294' ' 306)

: P(Z ' 2.57) - P(Z ' -2.57)

Using z table,

:0.9949-0.0051

:0.9898

Probability =0.9898

A Population Has A Mean Of 300 And A Standard Deviation Of 70. Suppose A Sample Of Size 100 Is Selected

Related Questions

Mrs. Smith cut an apple pie into 8 slices and a blueberry pie into 12 slices. She served
6 slices of the apple pie and 7 slices of the blueberry pie. Which correctly compares the
amounts of pie Mrs. Smith served?

Answers

Answer:

6/8>7/12

Step-by-step explanation:

6/8>7/12

36/48>28/48

I think

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Pablo and his classmates are collecting aluminum cans to be recycled the box plot shows the data for the number of cans collected by each student

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Answer:

A. The median of the data values is 16.

Step-by-step explanation:

Answer:

A - 16

Step-by-step explanation:

if you have four properties to do this week and the four properties have 45 square feet 100 square feet is 200 square ft and 300 square feet of yard what will be the total cost for the lawn care be this week​

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Answer:

Step-by-step explanation:

Square footage. ft². lock autosave. If you need to calculate the square footage of the floor's area, check out our square footage calculator.

Two boxes have the same volume. One box has a base that is 5cm by 5 The other box has a base that is 10cm by 10cm
How many times as tall is the box with the smaller base?

Answers

Answer:2

Step-by-step explanation:

The answers is 2 do you need explain

A number cube labeled one though six is rolled and a letter is selected from the word MUSIC. Find each probability.




P(2 and S)


a.


b.


c.


d.
HELP

Answers

Answer:

64/77

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

2/6*1/6= 2/12

When you simplify 2/12 you get 1/6

Express as a trinomial.
(x + 4)(x - 1)

Answers

Answer:

x^2+3x−4

Step-by-step explanation:

(3x^2+4x-8)-(-2x^2+4x+2)

Answers

Answer:

√2

Step-by-step explanation:

3x^2+4x-8+2x^2-4x-2

5X^2-10

5x^2=10

X^2=10/5

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someone please help me answer this!!

Answers

Answer:

8 mm

Step-by-step explanation:

Answer attached....

Hope it helps :)

Answer:

a = 8mm is the answer

Step-by-step explanation:

a = ?

b = 6mm

c = 10mm

By using the Pythagoras theorem,

a² + b² = c²

a² + 6² = 10²

a² + 36 = 100

a² = 100 - 36

a² = 64

a = 8

∴ a = 8mm is the length of the missing leg

Use the chain rule calculate dw/dr , dw/ds and dw/dt
W=in(x+2y+3z) , x=r^2 + t^2 , y =s^2 - t^2 , z=r^2 + s^2

Answers

Answer:

[tex]\frac{dw}{dr} = \frac{8\cdot r}{4\cdot r^{2}-t^{2}+5\cdot s^{2}}[/tex], [tex]\frac{dw}{ds} = \frac{10\cdot s}{4\cdot r^{2}-t^{2}+5\cdot s^{2}}[/tex], [tex]\frac{dw}{dt} = -\frac{2\cdot t}{4\cdot r^{2}-t^{2}+5\cdot s^{2}}[/tex]

Step-by-step explanation:

We proceed to derive each expression by rule of chain. Let be [tex]w = \ln (x+2\cdot y + 3\cdot z)[/tex], [tex]x = r^{2}+t^{2}[/tex], [tex]y = s^{2}-t^{2}[/tex] and [tex]z = r^{2}+s^{2}[/tex]:

[tex]\frac{dw}{dr} = \frac{\frac{dx}{dr}+2\cdot \frac{dy}{dr} +3\cdot \frac{dz}{dr} }{x+2\cdot y + 3\cdot z}[/tex]

[tex]\frac{dx}{dr} = 2\cdot r[/tex]

[tex]\frac{dy}{dr} = 0[/tex]

[tex]\frac{dz}{dr} = 2\cdot r[/tex]

[tex]\frac{dw}{dr} = \frac{8\cdot r}{(r^{2}+t^{2})+2\cdot (s^{2}-t^{2})+3\cdot (r^{2}+s^{2})}[/tex]

[tex]\frac{dw}{dr} = \frac{8\cdot r}{4\cdot r^{2}-t^{2}+5\cdot s^{2}}[/tex] (1)

[tex]\frac{dw}{ds} = \frac{\frac{dx}{ds}+2\cdot \frac{dy}{ds} +3\cdot \frac{dz}{ds} }{x+2\cdot y + 3\cdot z}[/tex]

[tex]\frac{dx}{ds} = 0[/tex]

[tex]\frac{dy}{ds} = 2\cdot s[/tex]

[tex]\frac{dz}{ds} = 2\cdot s[/tex]

[tex]\frac{dw}{ds} = \frac{10\cdot s}{(r^{2}+t^{2})+2\cdot (s^{2}-t^{2})+3\cdot (r^{2}+s^{2})}[/tex]

[tex]\frac{dw}{ds} = \frac{10\cdot s}{4\cdot r^{2}-t^{2}+5\cdot s^{2}}[/tex] (2)

[tex]\frac{dw}{dt} = \frac{\frac{dx}{dt}+2\cdot \frac{dy}{dt} +3\cdot \frac{dz}{dt} }{x+2\cdot y + 3\cdot z}[/tex]

[tex]\frac{dx}{dt} = 2\cdot t[/tex]

[tex]\frac{dy}{dt} = -2\cdot t[/tex]

[tex]\frac{dz}{dt} = 0[/tex]

[tex]\frac{dw}{dt} = -\frac{2\cdot t}{(r^{2}+t^{2})+2\cdot (s^{2}-t^{2})+3\cdot (r^{2}+s^{2})}[/tex]

[tex]\frac{dw}{dt} = -\frac{2\cdot t}{4\cdot r^{2}-t^{2}+5\cdot s^{2}}[/tex] (3)

Does anyone know what the answer is I need help pls

Answers

Answer:

x=15

Step-by-step explanation:

If each of those expressions is the measure of each arc of the circle, when added together they should equal 360

8x-10+6x+10x+10=360

24x=360

x=15

24x=360
x=15
hope this helps good luck!


PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:

G is the same as the other one so it's also 129. Their angle relationship are verticle angles.

What is the area of the trapezoid? The diagram is not drawn to scale.
9 cm
4 cm
5 cm
O14 cm2
O 20 cm2
O 38 cm2
O 56 cm2

Answers

Answer:

56sq. cm

Step-by-step explanation:

Area of a trapezoid = 1/2(a+b)h

a and b are the parallel sides

h is the height of the trapezoid

Find the f=diagram attached. from the diagram

a = 9cm

b = 5 + 9 + 5 = 19cm

h = 4cm

Substitute

Area of the trapezoid = 1/2 * (9+19)*4

Area of the trapezoid = 1/2 * 28 * 4

Area of the trapezoid = 28 * 2

Area of the trapezoid = 56sq. cm

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Answers

Answer:

1/5, 1/6, 1/7 is expressions not greater than 1/4

Step-by-step explanation:

PLS ANSWER IT QUCK PLS PLS PLS PLS PLS

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Answer:

87 !

Step-by-step explanation:

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Answer:

400

Step-by-step explanation:

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Answers

Answer:

It's D

Step-by-step explanation:

Edge 2021

The complete step 3 in the proof is 2sin(x) {1+ cos(x)}.

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One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

Given expression:

sin2(x) + 2sin(x)

This is the first step.

And the second step is given,

2sin(x)cos(x) + 2sin(x)

And to find the third step:

Simplify,

Factor out the common factor,

2sin(x) {1+ cos(x)}.

Therefore, the required step is 2sin(x) {1+ cos(x)}.

To learn more about the expression;

brainly.com/question/24242989  

#SPJ2

Please help me with this question, no links please, thank you!!!

A school has all of the students in grade 7 take a spelling test. Several samples are taken from the results. Which of the following samples is NOT likely to produce a representative sample of the population?

Group of answer choices

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15 students whose name begins with N.

40 students who say math is their least favorite subject.

Answers

Answer:

15 students whose name begins with N

Step-by-step explanation:

This is not a valid representative sample.

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73
90°
17
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Answers

Answer:

The answer is C. Right

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Answer:

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Answers

Answer:

The distance is 5 units

Step-by-step explanation:

Use the distance formula to find the distance.

Original price of a computer: $2,600.00
Tax: 6%
What is the sales tax for this computer?

Answers

Answer:

2,600.6

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Find the sum of the angle measure of a hexagon

Answers

Answer:

120°

Shape Sides Each Angle

Hexagon    6              120°

Find the area of the shaded region.

Answers

Answer:

48 yd²

Step-by-step explanation:

The shaded region is a trapezoid

Area of shaded region = area of the trapezoid

Area of trapezoid = ½(a + b)h

a = 6 yd

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h = 15 - 9 = 6 yd

Area of trapezoid = ½(6 + 10)6

= ½(16)6

= 48 yd²

Area of the shaded region = 48 yd²

Find the slope of the line that passes through (0,-2) and (4,-3)

Answers

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Answers

Answer:

No

Step-by-step explanation:

To estimate population proportion from a sample, we must ensure that the sample data is random. Though a simple random sample of college students from a particular college was used as the sample data. However, selection of the college should have been randomized as well, a stratified random sample would have been a better sampling method whereby certain colleges are selected based on region or other criteria and then a random sample of it's statistics students selected. The sample proportion Obtian from a sample of this nature will be more representative of the population proportion of all college statistic student.

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The answer is gonna be b

PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

the nearest value is 1700

Answer:

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Step-by-step explanation:

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