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

If this circle has a radius of 7.4 and m intercepted sector (shaded blue). Round answers to two decimal places.
Use the r button on your calculator.

Answers

Answer:

Gddghdhdhdhy heifer here early enough h her y

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

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

Answers

Answer:

A. The median of the data values is 16.

Step-by-step explanation:

Answer:

A - 16

Step-by-step explanation:

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

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

For the population of all college students currently taking a statistics course, you want to estimate the proportion who are women. You obtain a simple random sample of statistics students at Broward College in Florida. Is the resulting sample proportion a good estimator of the population proportion of all college statistics students

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.

(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

X^2=2

X=√2


Find the distance between (1, 2) and (5,5).

Answers

Answer:

The distance is 5 units

Step-by-step explanation:

Use the distance formula to find the distance.

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)

Which expression will complete step 3 in the proof? sin2(x) 2sin(x) 2sin(x)cos(x) sin(x)cos(x) + sin(x)

Answers

Answer:

It's D

Step-by-step explanation:

Edge 2021

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

What is an expression?

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

A simulation produces an experimental probability of 0.45. How many times
did the event occur if the number of trials was 380?

Answers

Answer:

Ihe answer is 845 times

Step-by-step explanation:

quadrilateral PQRS has coordinates P(-5, -2), Q(-2, -2), R(-4, -6) and S(-7, -6). Where is P' after quadrilateral PQRS is reflected over the x-axis? PLEASE HELP!!! QUICK

A. (-5, 2)
B. (5, 2)
C. (5, -2)
D. (-2, 5)

Answers

The answer is gonna be b

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!

what is an expression that IS NOT greater than 1/4

Answers

Answer:

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

Step-by-step explanation:


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.

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

Answers

Slope formula is y2-y1 over x2-x1 so we take -3-(-2) over 4-0 that gives us -1/4 so -1/4 is your slope

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

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

20 students who have science first period.

3 students who were in the final round of the spelling bee.

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.

What type of triangle is shown below?
73
90°
17
A. Acute
B. Obtuse
C. Right
D. Equilateral

Answers

Answer:

The answer is C. Right

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​

Answers

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.

NEED ANSWER ASAP WILL GIVE BRAINLIEST FOR CORRECT ANSWER

Answers

Answer:

400

Step-by-step explanation:

400 my explanation is that I did this before and I got it correct.

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

b = 10 yd

h = 15 - 9 = 6 yd

Area of trapezoid = ½(6 + 10)6

= ½(16)6

= 48 yd²

Area of the shaded region = 48 yd²

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

Answers

Alternate exterior angles lie on the outer part and are opposite each other
4 and 6
1 and 7

PLS ANSWER IT QUCK PLS PLS PLS PLS PLS

Answers

Answer:

87 !

Step-by-step explanation:

Maya read 3535 pages in \frac{4}{5}
5
4

of an hour. If she continues reading at the same rate, how many pages will she read in an hour?

Answers

Question for the Poster: Can I get brainliest,Thanks.Please type your questions with correct spelling so you can get your question answered to the best of everyone's ability

Answer:Maya reads 43 and 3/4 or 43.75 pages in 1 hour(or 44 pages per hour)

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

Answers

Answer:

2,600.6

I think its 2,600.6 because 6% is 6 dollers I dont know if I am correct lol! but have a nice day! =)

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

Answers

Answer:

x^2+3x−4

Step-by-step explanation:

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

Find the missing value to the nearest whole number sin17 = x7

Answers

Answer:

the nearest value is 1700

Answer:

-7

Step-by-step explanation:

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