In a recent year, grade 8 Washington State public school students taking a mathematics assessment test had a mean score of 281 with a standard deviation of 34.4. Possible test scores could range from 0 to 500. Assume that the scores are normally distributed.



A random sample of 60 students is drawn from this population. What is the probability that the mean test score is greater than 290? Leave answers in decimal form, not percentages. Round to the nearest Hundredth (two decimal places).

Answers

Answer 1

Answer:

The probability that the mean test score is greater than 290

P(X⁻ > 290 ) = 0.0217

Step-by-step explanation:

Step(i):-

Mean of the Population (μ) = 281

Standard deviation of the Population = 34.4

Let 'X' be a random variable in Normal distribution

Given X = 290

[tex]Z = \frac{x -mean}{\frac{S.D}{\sqrt{n} } } = \frac{290-281}{4.44} = 2.027[/tex]

Step(ii):-

The probability that the mean test score is greater than 290

P(X⁻ > 290 ) = P( Z > 2.027)

                    = 0.5 - A ( 2.027)

                   = 0.5 - 0.4783

                   = 0.0217

The probability that the mean test score is greater than 290

P(X⁻ > 290 ) = 0.0217


Related Questions

8)
Solve: 5x - 7x + 6 = -2(x - 3).
0)
A)
0
B)
2
infinitely many solutions

Answers

Answer:

the answer is 0 because both equations on either side cancel out thereby leaving in bare

If it takes 4 years for an animal population to double, how many years will it take until the population triples?

Answers

Answer:

6 years

Step-by-step explanation:

i used a proportional approach

2 (the double)/ 4 years (the time it takes to double)

then compared it to

3(the triple)/ x amount of years

(like this)

[tex]\frac{2}{4} \ \frac{3}{x}[/tex]

then cross multipled

4 times 3= 12

then divided the 12 by the remaining 2 above the 4

plzzzz help me!!!

Find the total cost to the nearest cent.



$49.95 pair of shoes; 5% tax

Answers

Answer:

49.95+2.4975(the 5% tax)

Step-by-step explanation:

=52.4475 dollars

Answer:

$52.4475

Step-by-step explanation:

5/100×49.95=249.75

249.75÷100=2.4975

2.4975+49.95=52.4475

what is 3(x – 6) = -12x - 9

Answers

Answer:

x = 3/5

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(x−6)=−12x−9

(3)(x)+(3)(−6)=−12x+−9(Distribute)

3x+−18=−12x+−9

3x−18=−12x−9

Step 2: Add 12x to both sides.

3x−18+12x=−12x−9+12x

15x−18=−9

Step 3: Add 18 to both sides.

15x−18+18=−9+18

15x=9

Step 4: Divide both sides by 15

15x/15 = 9/15

  so x = 3/5

plz mark brainly

50 POINTS GIVEAWAY!!!!!

I am finally rank ambitious so I am making 50 points giveaway!

To win them you just need to solve this:
[tex] 9 - 3\div \frac{1}{3} + 1 [/tex]
If your answer is right you will get a brainliest!

GOOD LUCK!!!​​

Answers

Answer:

1

Step-by-step explanation:

9 - 3/(1/3) + 1 = 1

Thank you so for hosting this giveaway! The answer is 1 :3

Twice the sum of a number and 6 is
more than 84.

Answers

Answer:

Step-by-step explanation:

yth ok

At a dinner party, two desserts are being served. Six of the guests choose cheesecake, and eight of the guests choose apple pie. Write two associated part-to-whole ratios for this situation, in simplest form. Then, interpret these ratios within the situation.​

Answers

Answer:

6 to 2 2 to 6

Step-by-step explanation:

The ratios for the given situation are 3/7 and 4/7.

Given that, at a dinner party, two desserts are being served.

What is the ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Six of the guests choose cheesecake, and eight of the guests choose apple pie.

So, the total number of guests = 6+8

= 14

Now, the ratio who chose cheesecake = 6/14

= 3/7

The ratio who chose apple pie = 8/14

= 4/7

Therefore, the ratios for the given situation are 3/7 and 4/7.

To learn more about the ratio visit:

brainly.com/question/13419413.

#SPJ2

Factor the expression 4x + 32. Explain each step you
take in the process.
I

Answers

Answer:

4(x+8)

Step-by-step explanation:

find the GCF (which is 4 in this case)

divide by 4 but don't forget to keep it.

4x/4=x

32/4=8

4(x+8)

And thats it!

Amelie works on her homework for 14 hour before her soccer practice and 23 hour after her soccer practice.

How much time did Amelie spend on her homework altogether?


16 hour

37 hour

34 hour

1112 hour













Jessica walks 13 mile to the post office and then 25 mile to the library.

How far did Jessica walk altogether?


215 mile

38 mile

1115 mile

34 mile

Answers

Answer:

37 hours

38 miles

Step-by-step explanation:

14+23=37

25+13=38

Answer:

37 hours and 38 miles

Step-by-step explanation:

14+23=37

13+25=38

Find the missing angle. solve for ?
PLZ HELP =<​

Answers

Answer:

70 degrees

Step-by-step explanation:

180-120=60

180-(60+50)=70

What is the Greatest Common Factor of 12 and 28
O2
3
06
4

Answers

Answer:

The GCF of 12 and 28 is 4.

Step-by-step explanation:

hope this helps

The factors of 12 are: 1, 2, 3, 4, 6, 12

The factors of 28 are: 1, 2, 4, 7, 14, 28

Answer:

The GCF is 4.

Step-by-step explanation:

You have 60 ft of fence to make a rectangular vegetable garden alongside the wall of your house. The wall of the house bounds one side of the vegetable garden. What is the largest possible area of the vegetable garden?

Answers

Answer:

400 ft²

Step-by-step explanation:

The maximum area of a rectangle results from it being a square. The rectangle (or square) must have 4 equal sides in order to maximize area. But in this case, one side is a wall. That means that the remaining three sides will be = 60 / 3 = 20 feet long. You formed an square that is 20 ft x 20 ft = 400 ft²

Find an autonomous differential equation with all of the following properties:
equilibrium solutions at y=0 and y=3,
y' > 0 for 0 y' < 0 for -inf < y < 0 and 3 < y < inf
dy/dx =

Answers

Answer:

dy/dt = y ( 3 - y )

Step-by-step explanation:

Given data:

Determine an autonomous differential equation with the following properties

y = 0 and Y = 3

y' > 0 for  0 < y < 3

y' < 0 for  -∞ < y < 0  and  3 < y < ∞

considering an autonomous differential equation

dy/dt = y ( 3 - y )

y = 0 and 3 represents equilibrium solutions

if 0 < y < 3  then y ( 3 - y ) > 0  for   0 < y < 3

hence : dy / dt = y' > 0  for 0 < y < 3

y ( 3 - y ) <  0  for -∞ < y < 0 and  3 < y < ∞

hence : dy / dt = y' < 0  for  -∞ < y < 0  and  3 < y < ∞

this shows that the autonomous differential equation satisfies every condition hence the autonomous differential equation is :

dy/dt = y ( 3 - y )

Let R be the region bounded by a triangle whose vertices are (0,0), (0,2) and (2,2). Find the volume generated when R is revolved about the X-axis.

a. Using the Washer Method
b. Using the Shell Method

Answers

Answer:

a

Step-by-step explanation:

i think

A water tank leaked 14 gallons of water over eight hours at a constant rate what was the change in the amount of water in gallons in a tank each hour

Answers

Answer: the answer would be 1.75 gallons/hour

Step-by-step explanation: if you take the 14 gallons divided by the eight hours, you get 1.75

Answer:

7/4 gallons per hour

Step-by-step explanation:

We have to divide the amount of water lost by the lapse of time. So we get

14/8= 7/4

write -90 in simplest radical form
please help or i’ll failll

Answers


Search Results
Featured snippet from the web

Simplest radical form means simplifying the radical such that there are no square roots ,cube roots ,etc to find. When simplifying a fraction, if there is a radical, should it always be a numerator?

is 8+y=4x a linear equations

Answers

Answer:

Yes

Step-by-step explanation:

8 + y = 4x is a linear equation in two variables ( x and y) .

yes it is a linear equation

What is a number that when you multiply it by 8 and subtract 12 from the product, you get 76?
Equation:
Solution:

Answers

Answer:

11

Step-by-step explanation:

Equation: 8x - 12 = 76

Add 12 to both sides

8x = 88

Divide both sides by 8

x = 11

Hope this helped :)

Brittany is selling car magnets she purchases them for 7.50 each and marks up the price by 30% how much planning to charge

Answers

Answer:

0.25

Step-by-step explanation:

i hope this helps! :]

A car travels 1295 feet in 5 seconds. How far can the car travel in 50 seconds?

Answers

Answer:

12950

Step-by-step explanation:

Which fraction is less 11 out of 12 or 5 out of 12

Answers

Answer: 5 out of 12

Step-by-step explanation: GOODLUCK!

How high would the rent have to be to qualify as an outlier

Answers

Answer:

1500+

Step-by-step explanation:

Simplify

4
x
+
2
y
+
z

3
x
+
2
y

2
z

Answers

Answer: -7x+4y-z would be the answer

Step-by-step explanation:

DONT ANSWER WAIT 5 MINUTES LM AO​

Answers

oooooooooooooooopppppppppppppppppppppppppssssssssssss

Answer:

thankssssssssss cuhhhhhhh

Step-by-step explanation:

lm ao like if they are gonna wait lol

is -3/4 rational or irrational?
is the square root of 2 rational or irrational?
is 2π rational or irrational?
is 3.75 rational or irrational?
is 2 1/8 rational or irrational?

Answers

-3/4 is rational
Square root of 2 is irrational
2pi is irrational
3.75 is rational
2 1/8 is rational

Remember rational numbers can be written as fractions, as irrational numbers cannot :)

You can buy 5 bananas for $4.25. What is the unit price per banana?

Answers

Answer: 85 cents

Step-by-step explanation:

Answer:

$0.85 per banana

Step-by-step explanation:

if you can get 5 bananas for $4.25 then you need to figure out how much you need to pay for 1. To do that you go 4.25 divided by 5 which is .85. so thats your answer, you can cha]eck it by going .85 times 5 which will get you 4.25

Find n from following equation

Answers

Answer:

n = [tex]\frac{ln(0.69)}{ln(1.04)-ln(0.025}[/tex]   OR   n =0.09953...

Explanation:

I don’t know if my answers are an option for you, but the following pictures show the explanation of it.

Hope this helps and answers you question :)

(GIVING AWAY BRAINLIEST AND EXTRA POINTS TO WHO EVER HELPS ME :> BTW THE SUBJECT MATH IS INNCORECT BUT I CHOSE IT BC THEY DIDNT HAVE SCIENCE AS AN OPTION LOL)


Veronica observes how the force of friction causes an object to slow down. She writes the following observation: When an object moves across a smooth surface, there is less friction created than when an object moves across a rough surface. When the object stops moving, friction is created. Which statement corrects the error(s) in Veronica's observations?

A) It is not smooth or rough surfaces that affects friction. It is the size of the push.

B) When an object moves across a rough surface, there is no friction.

C) When an object moves across a smooth surface, the friction increases.

D) When an object stops moving, there is no friction.

(Here is an image if needed) :

Answers

Answer:

C

Step-by-step explanation:

Answer:

A

number is correct answer

It takes a groundskeeper 35 minutes to prepare a Little League baseball field for a game. It takes his assistant 45 minutes to prepare the same field. How long will it take if they work together to prepare the field?

Answers

a) It takes a groundskeeper 45 minutes to prepare a softball field for a game. It takes his assistant 50 minutes to prepare the same field. How long will it take if they work together to prepare the field?

G does 1/45 job per minute

A does 1/50 job per minute

Together, they do 1/45 + 1/50 = 19/450 jobs/minute

--> 450/19 minutes to do the job

You can use a shortcut, product/sum

50*45/(50+45) = 2250/95

= 450/19

--------------------------------

b) It takes the owner/operator of a dog kennel 7 hours to clean all of the cages. It takes his assistant 4 hour(s) more than that to clean the same cages. How long will it take if they work together?

This is 7 and 11 hours.

7*11/(7+11) = 77/18 hours

= ~ 4.28 hours

Please help meeeeeeee

Answers

Answer:its not loaxibf

Step-by-step explanation:

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