Assuming the population is normally distributed, find the probability P(x>4.5) given the mean is 6 and the standard deviation is 0.7

Answers

Answer 1

Answer:

[tex]P(x > 4.5)= 0.983943[/tex]

Step-by-step explanation:

Given

[tex]\mu = 6[/tex]

[tex]\sigma = 0.7[/tex]

Required

[tex]P(x > 4.5)[/tex]

Start by calculating the z score

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

So:

[tex]z = \frac{4.5 - 6}{0.7}[/tex]

[tex]z = \frac{-1.5}{0.7}[/tex]

[tex]z = -2.143[/tex]

So, we have:

[tex]P(x > 4.5)= 1 - P(x < 4.5)[/tex]

This gives:

[tex]P(x > 4.5)= 1 - P(x < z)[/tex]

[tex]P(x > 4.5)= 1 - P(x < -2.143)[/tex]

Using the z score probability table, we have:

[tex]P(x > 4.5)= 1 - 0.016057[/tex]

[tex]P(x > 4.5)= 0.983943[/tex]


Related Questions

2 part of the question with answer choices C AND D!!!!

NEED HELP ASAP!!!!
**Will mark BRAINLIEST on both questions**
pls help!!



This is the same question I am just going to write it again.

Which graph best represents the solution to the following pair of equations?

y = 4x + 2
y = x + 5



**THESE pictures ARE ANSWER CHOICES C & D**​

Answers

Answer:

Plug it into geogebra. The answer should be c.

Step-by-step explanation:

Answer:

the solution/ where they intersect is (1,6) so it is neither

Step-by-step explanation:

Identify the hypothesis of the statement.



If a and b are positive, then a−b is positive.


If a−b is positive, then a and b are positive.


a−b is positive.


a and b are positive.


If a and b are positive, then a−b is positive.

Answers

9514 1404 393

Answer:

  a and b are positive.

Step-by-step explanation:

The form is ...

  IF <hypothesis>, THEN <conclusion>

The hypothesis is the wording between IF and THEN. In your given statement it is ...

  a and b are positive

Can you please help me

Answers

Answer:

is there amultipe choice answer if so list them down

Step-by-step explanation:

Find the value of x. NO LINKS!!!​

Answers

9514 1404 393

Answer:

  z° = 44°

Step-by-step explanation:

The sum of angles in a triangle is 180°.

  44° +52° +z° +40° = 180°

  z° = 44° . . . . . . . . . . . . . . . . subtract 136° from both sides

The value of z is 44.

_____

There is no "x".

Now we have to,

→ find the required value of z.

The equation is,

→ A + B + C = 180°

Let's solve for the value of z,

→ A + B + C = 180°

→ (52 + z) + 44 + 40 = 180

→ 136 + z = 180

→ z = 180 - 136

→ [ z = 44° ]

Hence, the value of z is 44°.

A sandwich shop prices its party subs at $17.50 per foot, with a $23 flat fee for assembly. Write a function rule describing how the price of a party sub (p) depends on the sub's length in feet.

What is the price of a party sub that is 8 feet long?​

Answers

Answer:

Step-by-step explanation:

sheesh

Answer:

f(x)=17.50p+25 The price for and 8 ft sub is $165

Step-by-step explanation

(3^6/7^-3)= Please I need help!!!

Answers

Answer: [tex]\frac{243}{7}[/tex]

Steps:

[tex]\frac{3^6}{7^-\cdot \:3}[/tex]

[tex]\mathrm{Cancel\:the\:common\:factor:}\:3[/tex]

[tex]=\frac{3^5}{7}[/tex]

[tex]3^5=243[/tex]

[tex]=\frac{243}{7}[/tex]

Hope This Helps!

Find the area of this parallelogram. Be sure to include the correct unit in your answer.
13 ft
14 ft
15 ft

Answers

182 ft squared is the answer

Simplify the expression.
4y-y(3 - 7y) + 5+ 2(8- y)
A.)7y2-y +21
B.)-7y2 - y + 21
C.)-8y + 21
D.)-7y+21

Answers

Answer:

The answer is B

Step-by-step explanation:

4y-3y+7y²+5+16-2y

7y²+4y-3y-2y+5+16

7y²-y+21

An article reports the following data on yield (y), mean temperature over the period between date of coming into hops and date of picking (x1), and mean percentage of sunshine during the same period (x2) for the Fuggle variety of hop:

x1: 16.7 17.4 18.4 16.8 18.9 17.1 17.3 18.2 21.3 21.2 20.7 18.5
x2: 30 42 47 47 43 41 48 44 43 50 56 60
y: 210 110 103 103 91 76 73 70 68 53 45 31

Use the following R Code to complete the regression analysis:
x1 = c(16.7, 17.4, 18.4, 16.8, 18.9, 17.1, 17.3, 18.2, 21.3, 21.2, 20 7, 18.5)
x2 = c(30, 42, 47, 47, 43, 41, 48, 44, 43, 50, 56, 60)
y = c(210, 110, 103, 103, 91, 76, 73, 70, 68, 53, 45, 31)

Required:
According to the output, what is the least squares regression equation ŷ = bo + b1x1 + b2x2:

Answers

Answer:

[tex]y = 415.113 -6.593 x_1 -4.504 x_2[/tex]

Step-by-step explanation:

Given

[tex]x_1: 16.7\ 17.4\ 18.4\ 16.8\ 18.9\ 17.1\ 17.3\ 18.2\ 21.3\ 21.2\ 20.7\ 18.5[/tex]

[tex]x_2: 30\ 42\ 47\ 47\ 43\ 41\ 48\ 44\ 43\ 50\ 56\ 60[/tex]

[tex]y: 210\ 110\ 103\ 103\ 91\ 76\ 73\ 70\ 68\ 53\ 45\ 31[/tex]

Required

Use R code to determine the regression equation

[tex]y = b_o + b_1x_1 + b_2x_2[/tex]

First, write the following code in a R program

[tex]x1 <- c(16.7,17.4,18.4,16.8,18.9,17.1,17.3,18.2,21.3,21.2,20.7,18.5)[/tex]

[tex]x2 <- c(30,42,47,47,43,41,48,44,43,50,56,60)[/tex]

[tex]y <- c(210,110,103,103,91,76,73,70,68,53,45,31)[/tex]

[tex]mod <- lm(y[/tex]~[tex]x1+x2)\\[/tex]

[tex]summary(mod)[/tex]

Next, run the program

See attachment for program and output

From the output, go to coefficients:

Check Estimate Std. column, you have the following:

[tex](Intercept) = 415.113[/tex]

[tex]x_1 = -6.593[/tex]

[tex]x_2 = -4.504[/tex]

[tex]y = b_o + b_1x_1 + b_2x_2[/tex] implies that:

[tex]b_o \to[/tex] Intercept

[tex]b_1 \to x_1[/tex]

[tex]b_2 \to x_2[/tex]

Hence, the least square regression equation is:

[tex]y = 415.113 -6.593 x_1 -4.504 x_2[/tex]

When oil is spilled in water, it creates a thin film of water approximately 1 micron thick. A barrel of oil is approximately 42 gallons of oil. If we spill a barrel of oil on the water, what is the area covered by the oil slick

Draw a sketch showing the relevant dimensions.
State your answer in square meters.
State your answer in square kilometers.

Answers

9514 1404 393

Answer:

158,987 m²0.158986 km²

Step-by-step explanation:

42 gallons is about 0.158987 cubic meters. 1 micron is 1 micro-meter, or 10^-6 meters. The volume is the product of the area and thickness. For some area A, we have ...

  0.158987 m³ = (10^-6 m)A

  A = (10^6)(0.158987 m² = 158,987 m²

The area in square meters is 158,987.

__

A square km is (1000 m)² = 10^6 m². So, the area in square kilometers is about ...

  (158,987 m²)/(10^6 m²/km²) = 0.158987 km²

The area in square km is about 0.1590.

99 is decreased to 44

Answers

Answer:

99 -? = 44.

99 -a = 44.

99 -44 -a = 44-44.

55 = a.

Please help will mark as brainliest if correct

Answers

Answer:

B)  29.6°

Step-by-step explanation:

it's a right triangle so you can use SOA CAH TOA

in this case we would use cosine because we know the adjacent and the hypotenuse

arccosФ = 20/23 = 29.59

PLZZ HELP!!!
Which graph shows the solution to the system of equations 2x + y = 4 and 3x - 2y = 6?

Answers

Answer:

the last one

Step-by-step explanation:

__________________

What expreassion is equivalent to 5(d+1)

Answers

Answer:

2(5)

Step-by-step explanation:

Answer:

I think it’s 5b+5

Step-by-step explanation:

All ways multiple the outside number with whatever is in the parentheses.

4 (x + 2.5) = 48
Explain your reasoning as well.

Answers

Answer:  9.5 is the answer. You have to distribute through.

Explain: 4x+10=48

Subtract 10 from both sides you get 4x=38. Then divide both sides by 4 you get 9.5.

Classify the polynomial by the number of terms.
mx+b
•Trinomial
•Monomial
•Polynomial
•Binomial

Answers

Classification:

Monomial: One term

Mono = One

Polynomial: Multiple terms e.g. (2,3,4 and so on)

Poly: Many

Binomial: Two terms

Bi = Two

Trinomial: Three terms

Tri = Three  

The expression of "mx + b" would be classified as a monomial due to it having only one exponent.

You call an expression with a single term a monomial, an expression with two terms is a binomial, and an expression with three terms is a trinomial. An expression with more than three terms is named simply by its number of terms. For example a polynomial with five terms is called a five-term polynomial.

PLEASE ANSWER ASAP WILL MARK BRAINLIEST!!

There are 5 red marbles, 15 blue marbles, and 5 green marbles in a bag. You reach in and randomly draw a marble,
replace it, and draw another marble. What is the probability that the first will be red and the second will be blue?

a.) 20%
b.) 80%
c.) 8%
d.) 12%

Answers

Answer: Hope This Helps!

Step-by-step explanation:

I would estimate around 8% or 12% is the answer. Red Marbles are a small percentage and the chance it will be picked instead of something else is rare however blue marbles are the most common and chance one will be picked is fairly high.

What is the lateral surface area, in square inches, of the figure formed by the net?

Answers

Answer:

71 in²

Step-by-step explanation:

surface area = (4×6)+(2×½×4×5)+(2×½×6×4.5)

= 24+20+27 = 71 in²

what is the volume of a bow with a width of 3/2 inches a length of 5/2 inches and a height of 4 inches

Answers

Answer:

v=LxWxH

v= 3/2x5/3x4

v=15/6x4

v=10in³

In problem formulation, the a. constraints are expressed in terms of the obtained objective function coefficients. b. objective is expressed in terms of the decision variables. c. nonnegativity constraints are always ignored. d. optimal solution is decided upon.

Answers

Answer: B. objective is expressed in terms of the decision variables

Step-by-step explanation:

Linear programming refers to an optimization technique that is used for a linear constraints system and the objective function.

The objective function simply means the quantity that an individual wants to optimize. It should be noted that the aim of linear programming is to get the values of the variables which will minimize or maximize the objective function. In problem formulation, objective is expressed in terms of the decision variables.

Therefore, the correct option is B

6 times the difference between q and 1

Answers

Answer:

6q-1. It's not factorsble with rational mumbers.

Answer:

6q - 6

Step-by-step explanation:

6 x (q - 1) =

6 x q - 6 x 1 =

6q - 6

Hope that helps! :)

-Aphrodite

The interest for a bank account is compounded quarterly. The equation 480(1.08)12 is used to calculate the value of the account after some amount of time.
The yearly interest rate for the account is
8%
3%
2%
32%
12%

Answers

Answer:

8%

Step-by-step explanation:

1.08 is an increase of 0.08, which is 8%

Answer: 3%

Step-by-step explanation:

since the total amount ended up being 12 your going to divide by 4 which is the quartly amount which is how u end up with 3%.

Javier is buying oak flooring for the living room. How many square feet of flooring does he need to buy?
18 ft
9 ft
BRO
A 162 ft2
B 54 ft2
C 27 ft2
O D. 1812
PLEASE HELP ILL MARK YOU AS BRAINLESS

Answers

54 ft.

Step-by-step explanation:

add 18 on both sides which is 36. then do that with 9 9+9=18 and 18+18=36 36+18=54.

Solve this equation by Euclid's application of areas: x^2 + 12x = 64.

Answers

Answer:

4

Step-by-step explanation:

Find the surface area of the square pyramid. Enter your answer in the box.
A square pyramid. The side length of the base is 11 centimeters. The height of each of the 4 triangular faces is 10 centimeters.

Answers

8560.75

Answer:

apply heros formula √15.5(15.5-10)(15.5-10)(15.5-11

to bake a cake, the recipe calls for 6 eggs. Arline wants to bake 24 cakes for her schools bake sale. how many eggs will she need in all for the 24 cakes?

Answers

The answer is 144.

Answer:

144 eggs

Step-by-step explanation:

1 cake = 6 eggs

24 * 6 = 144 eggs in total.

A longer way to do it is by adding 6, 24 times.

6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6 = 144

But by multiplying, it makes it easier to find the answer.

which expression has a value equal to 28 divided by 4

Answers

Answer:

28/4

7

56/8

14/2

63/9

70/7

√49

∛343

find the area of the shaded figure

Answers

Answer:

I need degrees and numbers to figure out the answers

What is the area of the sector for the following circle? Round your answer to 4 decimal places. *

Answers

Answer:

Area = 13.0900 ft²

Step-by-step explanation:

Area of sector = θ/360 × πr²

We are assuming it's the area of the minor sector that we are asked to find.

Therefore,

θ = 360 - 300 = 60°

r = 5 ft

Plug in the values

Area of minor sector = 60/360 × π × 5²

Area = 13.0899694

Area = 13.0900 ft² (to 4 decimal places)

Step-by-step explanation:

The angle of the minor sector will be ,

> 360 - 300 = 60° .

Area of sector :-

> Area = ∅ / 360 × πr²

> A = 60/360 × 3.14 × 5ft²

> A = 13.09 ft²

The Coopers own two vehicles, a mini-van and sedan. The following functions represent the resale value of both cars, in thousands of dollars,
after x years.
Mini-Van: f(1) = 32(0.8)*
Sedan: g(t) = 25(0.8)
Write function t that represents the total resale value, in thousands of dollars, of the two vehicles.

Answers

Answer:

[tex]h(x) = 57(0.8)^x[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 32(0.8)^x[/tex]

[tex]g(x) = 25(0.8)^x[/tex]

Required

A function that represents the total resale value of the two vehicles

To do this, we simply add up the functions

[tex]h(x) = f(x) + g(x)[/tex]

[tex]h(x) = 32(0.8)^x + 25(0.8)^x[/tex]

Factorize

[tex]h(x) = (32 + 25)(0.8)^x[/tex]

[tex]h(x) = 57(0.8)^x[/tex]

Other Questions
Change this fraction to an equivalent fraction with multiplication.4/7 = ______ The ratio of cups of orange juice concentrate to water in a punch recipe is 2 : 5. If Geoffrey used 20 cups of water, how many cups of orange juice concentrate did he use? Marco randomly pulled a marble out of a bag then returned the marble to the bag. He did this 10 times. Three times the marble was green. Kira spun a wheel with sections of different colors. The wheel landed on blue 6 times of the 15 times. Robin decide to pull a marble from the bag and spin the wheel once. Based on the results from Marco and Kira, what is the probability that Robin pulls out a green marble and wheel lands on blue? A. 3/25 B. 1/4 C. 9/25 D. 7/10 Large molecules that are built from repeating smaller molecules called(Insert first answer) are called (insert second answer) So this helicopter pilot dropped me in the middle of an absolutely smooth frictionlesslake. He thought it was really funny. The only thing the pilot let me take is a bowlingball. I tried to claw my way to the shore but was unable to get any horizontal force onthe super slippery zero friction ice. Explain how I can get to shore and why it willwork before I freeze to death. This test is about momentum. I wonder if my solutionhas anything to do with that ... No historical writing occurs in the prophetical books. True a False PLEASE HELP ALL LINKS GIVEN WILL BE REPORTED An author wants to show that a character is old and nearing his or her death. What season would be an appropriate setting to introduce the character to the audience? (5 points) help please im begging PLSSSSSSSS HELPPPPP ASAPPPPP The surface area of the world is about 7/10 water. If a very small, non-dangerous meteoroid lands on the earth, what is the probability it does NOT land in the water? 5m - 12 = 2m + 6 + 3m x = 15, x = 5; (0.75) help please i dont understand will mark brainlyist Quieres tacosenchiladas?OyeOpero How is the environmental problem caused by humans? Describe the specific human activity that causes this problem.Your response should be about 2-4 sentences long, or it may be written as bullet points hey cutie pls help me !! brainilist will be given !! PLEASE HELP SOMEONE!! thank you!find jwrite your answer in simplest radical form The St. Louis Cardinals defeated the Texas Rangers in the 2011 World Series in a thrilling 7game series. The matrices below show the statistics for runs, hits, and errors for each team in each game.Which team had the most total runs Which team had the most total hits The mass of a carbon atom is 1.994 10-23 grams. The mass of a hydrogen atom is 1.67 10-24 grams. What is the difference of their masses?