A normal distribution has mean and standard deviation . Find the indicated probability for a randomly selected x-value from the distribution P (x > +3)

Answers

Answer 1

Answer:

0.0228

Step-by-step explanation:

Let us assume that the mean (μ) = 2 and the standard deviation (σ) = 0.5

Z score is a standard score used to measure the number of standard deviations by which the raw score (x) is above or below the mean. It is given by the equation:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

For x > 3

[tex]z=\frac{x-\mu}{\sigma} =\frac{3-2}{0.5}=2[/tex]

From the normal distribution table, P(x > 3) = P(z > 2) = 1 -  P(z < 2) = 1 - 0.9772 = 0.0228


Related Questions

If you want to buy an item in a store that cost $43 and is on sale for 40% off, then how much would the item actually cost you after the discount ? round to the nearest cent

Answers

Answer:

$25.80

Step-by-step explanation:

40% = 40/ 100 = 4/10 = 0,4

There is a 40% discount, which means that the amount multiplied by more then 1 (for example 1,4) would increase the amount... That isn't right because it is a discount!

So you need to subtract the 40%, so (1 - 0.4 =) 0.6

The amount multiplied by 0.6 will be the correct amount, being $43 * 0.6 = $25.80 (rounded to the nearest cent).

The amount the item actually cost after the discount is $25.80

Lamar has been given a list of 6 bands and asked to place a vote. His vote must have the names of his favorite and second favorite bands from the list. How many different votes are possible?

Answers

Answer:

30

He has 6 options for 1st place and 5 for second place. Multiply the two and you get 30

Hope this helps :)

Is there anyone who can solve sequence tables.

Answers

Yes I can solve the sequence table

Give me any question you prefer

Question: 5 ( x +20)= 7x +30

Answers

Answer:35

Simplifying

5(x + 20) = 7x + 30

Reorder the terms:

5(20 + x) = 7x + 30

(20 * 5 + x * 5) = 7x + 30

(100 + 5x) = 7x + 30

Reorder the terms:

100 + 5x = 30 + 7x

Solving

100 + 5x = 30 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.

100 + 5x + -7x = 30 + 7x + -7x

Combine like terms: 5x + -7x = -2x

100 + -2x = 30 + 7x + -7x

Combine like terms: 7x + -7x = 0

100 + -2x = 30 + 0

100 + -2x = 30

Add '-100' to each side of the equation.

100 + -100 + -2x = 30 + -100

Combine like terms: 100 + -100 = 0

0 + -2x = 30 + -100

-2x = 30 + -100

Combine like terms: 30 + -100 = -70

-2x = -70

Divide each side by '-2'.

x = 35

Simplifying

x = 35

Hope it helps. Please tell me if im correct

Answer:

35

Step-by-step explanation:

5 * X= 5x

5* 20=100

these are for the ones inside the pararenthesis

so....

5x + 100= 7x+30

subtract 30 from both sides

5x+100-30= 7x-30-30

5x+70= 7x

now we need the variable on one side

so we subtract 5x on both sides

5x-5x+70= 7x-5x

70= 2x

now we divide by 2 on both to isolate the variable

70/2= 2/2

35=x

that's ur answer

hope this helped :D

At their​ family's pizzeria, Dave makes 6 pizzas in the first hour it is open and 3 pizzas each hour after that. Lauren makes 11 pizzas in the first hour and 3 pizzas each hour after that. If the pizzeria is open for 6​ hours, how many pizzas will they make in​ all?

Answers

Answer:

47 pizzas

Step-by-step explanation:

Dave makes 6 pizzas in the first hour it is open and 3 pizzas each hour after that.

If the number of hours after the first hour  is represented as x, then the number of pizzas he makes after x hours is:

6 + 3x

Lauren makes 11 pizzas in the first hour and 3 pizzas each hour after that. Then:

11 + 3x

The pizzeria is open for 6 hours in all, that is, 5 hours after the first hour.

This means that:

x = 5

The total amount of pizzas that Dave and Lauren make is:

6 + 3x + 11 + 3x

=> 17 + 6x

Therefore, the total amount of pizza they make 5 hours after the first hour is:

17 + 6(5) = 17 + 30 = 47 pizzas

explain how you found the equation that represents aunt andreas decorating plans from the table

Answers

Answer:

Answer: The number of balloons varies directly with the number of tables. The two variables are directly proportional. The relationship of balloons to tables is the ratio 5:1, where 5 is the constant of variation. Use the equation y = kx, where k is the constant of variation resulting in the equation y = 5x.!!!!!!!!!

licze jako najlepsza odpoiedz!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

Answer:

Sample Answer: The number of balloons varies directly with the number of tables. The two variables are directly proportional. The relationship of balloons to tables is the ratio 5:1, where 5 is the constant of variation. Use the equation y = kx, where k is the constant of variation resulting in the equation y = 5x.

Step-by-step explanation:

Grayson is a kickboxing instructor who will be teaching classes at a local gym. To get certified as an instructor, he spent a total of $130. Grayson will be earning a base salary of $58 per month from the gym, plus an additional $12 for every class he teaches. If Grayson teaches a certain number of classes during his first month as an instructor, he will earn back the amount he spent on certification. How much will Grayson's expenses and earnings be? How many classes will that take?

Answers

Answer:

If Jeffrey takes 50 classes in his first month as an instructor, he will earn back the amount he spent on certification.

Step-by-step explanation:

Solve for h.

–2 − 10h = –11h − 20

Answers

。☆✼★ ━━━━━━━━━━━━━━  ☾  

-2 - 10h = -11h - 20

+ 2

- 10h = -11h - 18

+ 11h

h = -18

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

。☆✼★ ━━━━━━━━━━━━━━  ☾

Step-by-step explanation:

-2-10h=-11-20, take -10 to the other side.

-2= -1-20, take 20 to the other side.

-18=-1h

-ve and -ve is pos.

h=18

positive 18

1/16 x 6 then round to 2 decimal places.

Answers

Answer:

.38

Step-by-step explanation:

1/16 * 6 = 6/16

Divide the top and bottom by 2

3/8

.375

Round to 2 decimal places

.38

Answer: 0.38

Reason: Trust me

a ferris wheel rotates 9pi/8 radians prior to making a stop the total height of the ferris wheel is 246 ft how far around did the ferris wheel travel round to the nearest whole foot

Answers

Answer:

ferris wheel travel approx = 434.72 ft

Step-by-step explanation:

given data

wheel rotates = 9pi/8 radians

total height of the ferris wheel =  246 ft

solution

we can say here that height of the ferris wheel is same as the diameter of the wheel

and wheel is circular in shape

so we get here first radius of wheel that is

radius = half of diameter    ..........................1

put here value and we get

radius = 0.5 × 246

radius = 123 ft

and

wheel travel distance = length of arc by a angle of wheel rotates

so here length of arc will be

arc length = radius × wheel rotates angle   .....................2

put here value and we get

arc length  = 123 × [tex]\frac{9\pi }{8}[/tex]

arc length = 434.7178 ft

so ferris wheel travel approx = 434.72 ft

On a map of a town, a school is located at (–6, 2) and a movie theater is located at (–6, –15). What is the distance from the school to the theater on the map?

Answers

Answer:

13 units

Step-by-step explanation:

Since the x-coordinates are the same, you can simply add the absolute value of the y-coordinates.

|2 + (-15)|

or

|2 - 15|

= 13

Therefore, the distance from the school to theater is 14 units.

Answer:

13 units

Step-by-step explanation:

on edge 2020

what is the difference in minutes of median collection times before and after the well was installed

Answers

Answer:

25

Step-by-step explanation:

I did this trust me :D

Answer:

25

this will help you

what is the change of base formula

Answers

This is the formula you are looking for Logb x = Loga x/Loga b

the graph shows the function f(x)=2^x what is the value of x when f(x)=4

Answers

Answer:

2

Step-by-step explanation:

A line has a slope of 5 and passes through (4,2). Write an equation to represent this.


A) y=18x-5

B) y=3x-15

C) y=5x-18

D) y=5 +2x

Answers

Answer:

C

Step-by-step explanation:

Area of triangles and trapezoids

Answers

Answer:

bh/2 and (top base+bottom base)/2

Step-by-step explanation:

first one for triangles and second one for trapezoids

I hope i'm right

What are the zeros of (fx) =x^2-10x+25​

Answers

Answer:

Zero of the function f(x) is x = 5

Step-by-step explanation:

Given function is f(x) = x² - 10x + 25

For zeros or x-intercepts of this function,

Put f(x) = 0

x²- 10x + 25 = 0

x² - 2(5)x + 5² = 0

(x - 5)² = 0 [Since, a² - 2ab + b² = (a - b)²]

x = 5

Therefore, x = 5 will be the zero of the given function.

For all real numbers b and c such that the product of
c and 3 is b, which of the following expressions repre-
sents the sum of c and 3 in terms of b ?
B. 3h + 3
C. 3(b + 3)
3
E. -
3​

Answers

Answer:

E: b/3+3

Step by step:

3 C= b

C + 3 = b/3 + 3                     (Adding 3 to both sides)

Answer: E: b/3 + 3

Hope this helps

Which of the following represents 0.63 as a fraction in simplest form?

Answers

Answer:

63/100

Step-by-step explanation:

0.63 = 63/100

Fiona found 47 pens for $3.00 . Please help Fiona by figuring out the ratio. (round to 2 decimal places)

Answers

Answer:

0.06

Step-by-step explanation:

3/47

Answer

$15.67

trust me I think this is it with the info I have got.

info=information true fact

Aston left his house and ran 4 miles East and then 3 miles north. He then took the diagonal path back home. If he burned 105 calories every mile that he ran, how many total calories did burn on his run

Answers

Answer:

he do be running tho

Answer:

He burned a total of 735 calories.

Step-by-step explanation:

4 miles + 3 miles = 7 miles

105 calories/1 mile = 7 miles/ ? calories

105 calories times 7= 735 calories

You are exploring a career in nursing in the state of MA. The average hourly wage for RN is $33.37. You are planning to work 40 regular hours +8 hours overtime at time and a half every week. What were your weekly earnings be?

Answers

Answer:

$1,735.24

Step-by-step explanation:

"at time and a half" basically means 1.5

So, the overtime would be 1.5 times the normal hourly wage.

40 regular hours * $33.37 = $1334.8

8 overtime hours * (1.5 * $33.37) = $400.44

$1334.8 + $400.44 = $1735.24

So, the total weekly pay is $1735.24.

My sister asked me what -7+8x7 is but I have too much homework and don't have time to check my answer can you guys answer for me plz?!​

Answers

Answer:

49

Step-by-step explanation:

-7 + 8 x 7

order of operations says to do 8 x 7 first

-7 + 56

simple addition gets you to

49

Answer:

49

Step-by-step explanation:

-7+8x7

Use PEMDAS

first multiply 8 and 7 =56

then add -7 and +56

56-7 =49

-2 1/2x + 3 1/6 = 5 2/3
PLEASE

Answers

Answer:

1/4

explanation:

i think not sure but i think its that

Answer:

x= −73/63

Step-by-step explanation:

try this

Only do question 8

50 points

Topic: Percentage

Answers

Answer:

see below

Step-by-step explanation:

Answer:

...

Step-by-step explanation:

The table below shows the lowest temperature, in degrees Fahrenheit, on each of 5 days for a city. What is the Mean temperature, in degrees Fahrenheit, in the city for those 5 days?

Answers

Answer:

ion know bu heyyyyyy

Step-by-step explanation:

Answer:

94

Step-by-step explanation:

always sometimes or never

The Capacity of a container will ALWAYS be less than the containers Volume
Explain too

Answers

Answer:

sometimes

Step-by-step explanation:

cant explain because i dont know if im right

Never ? I don’t really understand

the ratio of boys to girls in a class is 7:5 there are36
students in the class how many students are girls

Answers

Answer:

There are 15 girls

Step-by-step explanation:

Look at the picture

There are 15 girls that’s the answere

I need help with this asap please!!!

Answers

Answer:

54

Step-by-step explanation:

54x

Find the zeros of the function. Write the smaller solution first, and the larger solution second f(x)=(x+2)2-16 smaller x larger x

Answers

Answer:

The solutions are x = -6 or x = +2

Step-by-step explanation:

In this question, we are asked to get the series of the equation given. we can find this by equating what we have to zero

Mathematically, we proceed as follows;

(x +2)^2 -16 = 0

This can be rewritten as;

(x + 2)^2 - 4^2 = 0

we can then proceed to use the difference of two squares to finish this off

Thus, we have

(x + 2 + 4)(x + 2 - 4) = 0

(x + 6)(x-2) = 0

X + 6 = 0 or x-2 = 0

x = -6 or x = +2

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